How do you find area?

Answers

Answer 1

The area of a shape is calculated by calculating the amount of space on the shape

How do you find area?

By definitinon, the area of a shape is the amount of space on the shape

using the above as a guide, we have the following:

Area of rectangle = Length * WidthArea of square = Length²Area of triangle = 1/2 * base * heightArea of circle = π * radius²Area of parallelogram = base * height

There are several formulas to calculate area

The formula to use is dependent on the shape whose area is being calculated

This means that the area of trapezoid cannot be calculated using the area of parallelogram

Read more about area at

https://brainly.com/question/24487155

#SPJ1


Related Questions

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

Answers

Answer:

x=9km

Step-by-step explanation:

Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

The hypotenuse is [tex]c^{2}[/tex], so the equation will be

[tex]12^{2}[/tex] + [tex]b^{2}[/tex] = [tex]15^{2}[/tex]

Evaluating the equation gives us

144 + [tex]b^\\{2}[/tex] = 225

Subtract 144 from each side to have [tex]b^{2}[/tex] alone

[tex]b^{2}[/tex] = 81
square root on each side to get rid of the exponent

[tex]\sqrt{b^2[/tex] = [tex]\sqrt{81}\\[/tex]

[tex]\sqrt{b^2[/tex]'s square root is b and          [tex]\sqrt{81[/tex]'s is 9,-9, giving us b=±9

As distance cannot be negative, x = 9km

State the dimensions of each matrix.
[3 -4 -9]
[2 -7 0]

Answers

Answer:

2 x 3 matrix

Step-by-step explanation:

help pls im failing 100 POINTS IF U HELP

Answers

Answer: 44%, 26%, less likely

Step-by-step explanation:

just do the math!!

About 44% of students surveyed said their top priority was the arts. About 26% of parents surveyed said their top priority was the arts. So, a parent would be less likely than a student to prioritize the arts. The data suggests that there is an association between people's relationship to the school and their top priority. Specifically, students were more likely to prioritize the arts than parents.

Use words to describe the relationship between the number of miles and each corresponding number of gallons.


10 gallons 300 miles.

Answers

The unit rate that relates the two quantities of distance and volume of gas is:

U = 30 miles per gallon.

How to describe this relation?

To do so, we can find the unit rate.

This would say how many gallons are consumed to drive a unit of distance, or which distance can you drive with one gallon.

Here we have the values:

10 gallons and 300 miles.

Then the unit rate is the quotient between these:

300miles/10 gallons = 30 miles per gallon

This says that with one gallon of gas you can travel 30 miles.

Learn more about the unit rate:

https://brainly.com/question/19493296

#SPJ1

Trigonometry homework help

Answers

A. The distance she must walk to return to the starting point is approximately 1912.325 ft, or 1912 ft 3 in.

B. She is walking towards the north, the heading is N 1° 20' W.

C. Acreage = 7.55 acres (rounded to 3 decimal places).

How did we get these values?

A. Convert the angles to decimal degrees:

N. 27° 40′ E. = 27.667°

N. 56° 31′ E. = 56.517°

S. 4° 26′ W. = -4.433°

Now, calculate the distances between the points:

AB = √(696.2917² + 3.5² - 2*696.2917*3.5*cos(27.667°)) = 696.2227 ft

BC = √(487.9792² + 11.75² - 2*487.9792*11.75*cos(56.517°)) = 487.9385 ft

CD = √(1691.125² + 1.5² - 2*1691.125*1.5*cos(-4.433°)) = 1691.1415 ft

B. Finding the distance from D back to A, calculate the distance and angle between AD:

AD = √(AB² + BD² - 2*AB*BD*cos(θ)) where θ = 180° - 4°26' - 27°40' = 147.9°

Substituting AB and BD:

AD = √(696.2227² + 1691.1415² - 2*696.2227*1691.1415*cos(147.9°)) = 1912.3246 ft

Therefore, the distance she must walk to return to the starting point is approximately 1912.325 ft, or 1912 ft 3 in.

C. Finding the heading she walks from D back to A, calculate the angle between AD and the north-south axis:

θ' = atan((AB*sin(27.667°) - BD*sin(θ))/AD) = atan((696.2227*sin(27.667°) - 1691.1415*sin(147.9°))/1912.3246)

θ' = -1.344°

Since she is walking towards the north, the heading is N 1° 20' W.

Lastly, to calculate the acreage of this plot of land, we use Heron's formula to determine the area of triangle ABC:

s = (AB + BC + AC)/2 = (696.2227 + 487.9385 + 1392.625)/2 = 788.8931 ft

A = √(s(s-AB)(s-BC)(s-AC)) = 328756.0207 ft²

Convert to acres:

Acreage = 328756.0207/43560 = 7.55 acres (rounded to 3 decimal places).

learn more about distance: https://brainly.com/question/28551043

#SPJ1

Match the situation with its probability.

Answers

The given probabilities are as follows:

Spinner landing on at least one A = 7/16Spinner landing on C and D in any order = 1/8Spinner landing on two Bs = 1/16Spinner landing on C on the second spin = 1/4

What are the probabilities?

The probabilities are determined using the formula below:

Probability = number of expected outcome / number of total outcomes

Spinner landing on at least one A:

number of at least one A = 7

Spinner landing on at least one A = 7/16

Spinner landing on C and D in any order:

number of landing on C and D in any order = 2

Spinner landing on C and D in any order = 2/16

Spinner landing on C and D in any order = 1/8

Spinner landing on two Bs:

number of  landing on two Bs = 1

Spinner landing on two Bs = 1/16

Spinner landing on C on the second spin:

Number of landing on C on the second spin = 4

Spinner landing on C on the second spin = 1/4

Learn more about probability at: https://brainly.com/question/24756209

#SPJ1

Toby throws a coin 2 times.
The outcome of each throw is either Heads (H) or Tails (T).
List all the possible outcomes of the 2 throws.
Use the letters H and T in your listing (eg. HH, ...).

Answers

Answer:

HH

HT

TH

TT

Step-by-step explanation:

Answer:

TT, TH, HT, HH

Step-by-step explanation:

If a cylinder has a height of 5 inches and a radius of 3 inches, which equation can be used to find V, the volume of the cylinder in cubic inches?

Answers

The equation to find the volume of the cylinder is: V = 45π cubic inches.

What is cubic inches?

The volume of things or containers is often measured in cubic inches in the United States. It is the amount of area that a cube with one inch sides takes up. A cubic inch is about equal to 16.387 millilitres or 0.016387064 litres. The displacement of an engine—a measurement of the total amount of air and fuel the engine can compress into its cylinders—is frequently discussed in terms of cubic inches.

According to given information:

The formula to find the volume of a cylinder is:

V = πr²h

Where V is the volume, r is the radius, and h is the height.

Substituting the values given in the problem, we get:

V = π(3²)(5)

V = π(9)(5)

V = 45π

Therefore, the equation to find the volume of the cylinder is:

V = 45π cubic inches.

To know more about cubic inches:

https://brainly.com/question/487980

#SPJ1

Work the following problems using the previous tables. Choose the correct answer.

Currency on hand = 2,000 Swiss francs
Currency desired = Dutch guilders (Holland)
How many guilders based on the Wednesday rate? (Hint: Convert 2,000 Swiss francs to United States dollars. Then convert United States dollars into guilders.)

Answers:
2,533.66
2,455.75
2,465.33

Answers

The conversion of 2,000 Swiss francs to United States dollars and from United States dollars into Dutch guilders (Holland) based on Wednesday's currency exchange rate is D. ƒ4,032.

What is the exchange rate?

The exchange rate represents the unit rate at which one currency is exchanged for or converted to another.

Exchange rate conversions rely on the mathematical operations of division or multiplication.

1 CHF = $1.12

2,000 CHF = $2,240 ($1.12 x 2,000 CHF)

On Wednesday April 26, 2023, $1.00 =  ƒ‎1.80

$2,240 = ƒ4,032 ($2,240 x ƒ1.80)

Thus, we can conclude that 2,000 CHF (Swiss francs) are worth 4,032 Dutch guilders.

Learn more about exchange rates at https://brainly.com/question/2202418.

#SPJ1

El perímetro de un campo rectangular es 300 m . Si la longitud del campo es 88 , ¿cuál es su anchura?

Answers

Based on the above, the width of the field is 62 meters.

What is the width?

Based on the question, Let's say that the width of the field is  denoted with 'w'.

Note that the formula for the perimeter (P) of a rectangle is:

P = 2(l + w)

where"

l = length

w =  width.

Fixing the values into the equation, it will be:

300 = 2(88 + w)

So, Divide both sides by 2:

150 = 88 + w

Subtract 88 from both sides:

w = 150 - 88

w = 62

Learn more about width from

https://brainly.com/question/25292087

#SPJ1

Se text below

The perimeter of a rectangular field is 300 m. If the length of the field is 88 , what is its width?

Help me with this question please

Answers

Answer:

A line that is perpendicular to another is one that has a slope that is the multiplicative reciprocal of the original funtion's slope and it also has the opposite sign in front. Considering a slope with a value of [tex]\dfrac{1}{7}[/tex], the reciprocal multiplicative is 7, because is a number that equals 1 if multiplied by the original value. Then, we change the sign for it, making it -7.

Thus, correct answer is a. -7.

-------------------------------------------------------------------------------------------------------

Learn more about the slope of linear equations here:  

https://brainly.com/question/30433648  

https://brainly.com/question/30423275  

https://brainly.com/question/30029053  

https://brainly.com/question/29900530  

https://brainly.com/question/29859214  

https://brainly.com/question/29779416

You are trying to determine if a router you’re thinking of purchasing will give off a strong enough wifi signal to cover the area in your house. The router you have selected will cover an area of 850 ft^2.

Answers

According to the information, the router cannot cover the kitchen area.

Does the router cover the kitchen area?

To calculate if the router covers the kitchen area, we must identify the area that the router can cover. In this case, the router covers an area of 850 square feet. However, we must take into account that this area is counted around the router. So, we have to calculate the square root of 850 ft^2.

[tex]\sqrt{850}[/tex] = 29.129.1 / 2 = 14.5

From the above, we can infer that the router has signal coverage of 14 meters around it, so it would only cover the living room area.

Learn more about routers in: brainly.com/question/29869351

#SPJ1

Leslie invests in a bank account that earns interest compounded quarterly. The expression 500(1.026)4t can be used to find the account balance in t years.

Part A
What was Leslie’s initial investment?

$

Part B
What is the quarterly interest rate the account earns?

Answers

Leslie's initial investment was $500 and the quarterly interest rate the account earns is 10.4%.

To find the initial investment and quarterly interest rate we can use the following compound formula of

A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]

Given expression =[tex]500(1.026)^{4t}[/tex]

principal P = $500

rate of interest r = 1.026

A) Leslie's initial investement A = [tex]500 (1.026) ^{0}[/tex] = 500        [ initially time t = 0]

B) for finding quarterly interest,

given expression =[tex]500(1.026)^{4t}[/tex]

                             =[tex]500(1 + 0.026)^{4t}[/tex]

                             = [tex]500(1 + 0.026 * 4/4)^{4t}[/tex]

                             = [tex]500(1 + \frac{0.104}{4} )^{4t}[/tex]

From the above expression, we can conclude that the quarterly interest is 0.104 which is 10.4%

To know more about interest,

https://brainly.com/question/25720319

#SPJ1

A department manager recently launched a new initiative so the members of her department can more easily present innovative ideas they have. To get feedback on the initiative, she emails a link to all department members for an anonymous online survey.

Which statement is true?

Answers

The statement that best describes the potential bias in this scenario is option B: The survey results are most at risk for department members not being able to answer honestly.

The reason for this is that department members may be afraid to share their true thoughts and opinions, especially if they believe their ideas may be seen as too innovative or risky. They may be concerned about how their managers or colleagues will perceive them if they express ideas that go against the status quo or challenge established norms.

This type of bias is known as social desirability bias, which refers to the tendency of respondents to answer questions in a way that is socially acceptable or desirable, rather than in a way that reflects their true beliefs or behaviors.

In this case, department members may feel pressure to conform to the expectations of their superiors or colleagues, even if it means not expressing their true opinions or ideas.

To know more about survey here

https://brainly.com/question/13532910

#SPJ1

Complete Question

A department manager recently launched a new initiative so the members of her department can more easily present innovative ideas they have. To get feedback on the initiative, she emails a link to all department members for an anonymous online survey.

Which statement is true?

A. The survey results are most at risk for nonresponse bias.

B. The survey results are most at risk for department members not being able to answer honestly.

C. The survey results are not at risk of any bias.

D. The survey results are most at risk for under coverage.

How do I help my student understand this?

Answers

Cell 1 is in the "7th grade" row and "Pets" column. Have your student circle these labels or highlight them. Then it should be clear why choice E is the final answer.

Another way to rephrase it: the 35 people in cell 1 represent the number of 7th graders with pets.

You’re planning to buy a house and you want to have $35,000 to put as a down payment. If you have $20,000 today and you’re able to receive 12% interest rate for investing the money, how long will it take you to have enough money for the down payment saved?

Answers

It will take approximately 6.24 years to have enough money for the down payment saved.

How to calculate how long will it take you to have enough money for the down payment saved

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)^(nt)

where:

A = the amount of money we want to have (in this case, $35,000)

P = the initial amount we have (in this case, $20,000)

r = the annual interest rate (in this case, 12%)

n = the number of times interest is compounded per year (let's assume it's compounded monthly, so n = 12)

t = the number of years we're investing for (this is what we want to find)

Substituting the values we know:

$35,000 = $20,000(1 + 0.12/12)^(12t)

Simplifying:

1.75 = (1 + 0.01)^(12t)

Taking the natural logarithm of both sides:

ln(1.75) = 12t ln(1.01)

Dividing both sides by 12 ln(1.01):

t = ln(1.75) / (12 ln(1.01))

Using a calculator:

t ≈ 6.24 years

Therefore, it will take approximately 6.24 years to have enough money for the down payment saved.

Learn more about  compound interest at https://brainly.com/question/24274034

#SPJ1

The Celluloid Collar Corporation has $120,000 in tax loss carryforwards. The Bowstring Shirt Company, a firm in the 21% tax bracket, would be willing to pay (on a non-discounted basis) the sum of _________ for Celluloid Collar Corporation’s carryforward alone.

Group of answer choices

$18,000

$25,200

$44,100

$20,000

Answers

The Bowstring Shirt Company, a firm in the 21% tax bracket, would be willing to pay (on a non-discounted basis) the sum of $25,200  for Celluloid Collar Corporation’s carryforward alone.

What is the non-discounted  sum?

The value of Celluloid Collar Corporation's tax loss when it is said to be carryforward to Bowstring Shirt Company will be be calculated  using the steps below

Value = Tax Loss Carryforward x Tax Rate

Value = $120,000 x 21%

        = $25,200

Therefore, Bowstring Shirt Company have to pay $25,200 for Celluloid Collar Corporation's tax loss to  be carryforward.

Learn more about non-discounted  sum from

https://brainly.com/question/30532309

#SPJ1

Find the distance between the two points (3,−2) and (2,6) .



Simplify your answer, and write the exact answer in simplest radical form for an irrational answer. For example, 2–√= sqrt(2) .

Answers

Answer:

[tex] \sqrt{( {3 - 2)}^{2} + {( - 2 - 6)}^{2} } [/tex]

[tex] \sqrt{ {1}^{2} + {( - 8)}^{2} } [/tex]

[tex] \sqrt{1 + 64} = \sqrt{65} [/tex]

A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.

10, 11, 35, 39, 40, 42, 42, 45, 49, 49, 51, 51, 52, 53, 53, 54, 56, 59

A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 10 to 19, up to 2 above 30 to 39, up to 6 above 40 to 49, and up to 8 above 50 to 59. There is no shaded bar above 20 to 29.

Which measure of variability should the charity use to accurately represent the data? Explain your answer.

The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 49 is the most accurate to use to show that they need more money.
The range of 49 is the most accurate to use to show that they have plenty of money.
The IQR of 13 is the most accurate to use, since the data is skewed.

Answers

The most appropriate measure of variability to use in this case is the IQR (Interquartile Range) of 13.

How to determine which measure of variability should the charity use to accurately represent the data

The reason for this is that the data appears to be skewed towards the higher values, with more donations in the higher range (from 40 to 59 dollars) and fewer in the lower range (from 10 to 39 dollars).

Using the range (which is the difference between the highest and lowest values) would not accurately represent the variability of the data, as it would be heavily influenced by the outliers. On the other hand, the IQR, which is the range of the middle 50% of the data, is a more robust measure of variability that is not influenced by outliers. Therefore, the IQR of 13 is the most appropriate measure of variability to use in this case.

Learn more about measure of variability at https://brainly.com/question/14544205

#SPJ1

Select all the correct answers.
If the measure of angle is which statements are true?
sin (0) = -
The measure of the reference angle is 30°.
cos (0) = √3
The measure of the reference angle is 45°.
tan (0) = -√3
The measure of the reference angle is 60°.

Answers

The measures of the trigonometric relations and reference angles are solved

Given data ,

Let the measure of the angle be θ = 2π/3

Now , from the trigonometric relation ,

The tangent of the function tan ( 2π/3 ) = -√3

And , the reference angle of the θ = 2π/3  is given by A = π/3

So , A = 60°

Hence , the reference angle is 60°

To learn more about reference angle click :

https://brainly.com/question/6241391

#SPJ1

please find the SA and can you please explain?
Please hurry if you can.

Answers

Answer:

Rounding to the nearest hundredth, the surface area of the regular hexagonal pyramid is approximately 663.2 square centimeters.

Step by Step Explanation:

The surface area of a regular hexagonal pyramid can be calculated using the formula:

Surface area = (1/2) x Perimeter of base x Slant height + Base area

To find the perimeter of the hexagonal base, we can use the formula:

Perimeter of hexagon = 6 x Length of one side

Since the base edge length is 8 centimeters, the length of one side of the hexagon is also 8 centimeters. Therefore, the perimeter of the hexagonal base is:

Perimeter of base = 6 x Length of one side = 6 x 8 = 48 centimeters

To find the base area of the pyramid, we can use the formula:

Base area = (3/2) x (Square root of 3) x (Length of one side)^2

Substituting the values, we get:

Base area = (3/2) x (Square root of 3) x (8)^2 = 96(sqrt(3)) square centimeters

Now we can substitute the values into the surface area formula:

Surface area = (1/2) x Perimeter of base x Slant height + Base area

Surface area = (1/2) x 48 x 15 + 96(sqrt(3))

Surface area = 360 + 96(sqrt(3)) square centimeters

Suppose that the length of the three sides of a right triangle are consecutive whole numbers. What is the length of the longest leg?

Answers

The length of the longest leg in the right triangle is 5 units

What is the length of the longest leg?

Let x be the length of the shortest leg. Then the other leg has length x + 1, and the hypotenuse has length x + 2.

By the Pythagorean Theorem, we have:

x^2 + (x + 1)^2 = (x + 2)^2

Set x = 3

So, we have

3^2 + (3 + 1)^2 = (3 + 2)^2

Evaluate

25 = 25

The above equation is trie

So, we have

Longest = x + 2

Longest = 3 + 2

Evaluate

Longest = 5

Read more about right triangle at

https://brainly.com/question/2437195

#SPJ1

A net of a rectangular prism is shown.
A net of a rectangular prism with dimensions 7 centimeters by 3 and three-fifths centimeters by 2 and two-fifths centimeters.

What is the surface area of the prism?

Answers

Answer:

The surface area of a rectangular prism is calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width and h is the height.

In this case, the length is 7 cm, the width is 3 and three-fifths cm (or 3.6 cm), and the height is 2 and two-fifths cm (or 2.4 cm). Plugging these values into the formula gives us a surface area of 2(7) (3.6) + 2(7) (2.4) + 2(3.6) (2.4), which simplifies to 50.4 + 33.6 + 17.28, or 101.28 square centimeters.

So, the surface area of this rectangular prism is 101.28 square centimeters.

Received message. The surface area of a rectangular prism is calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is `2lw + 2lh + 2wh`, where `l` is the length, `w` is the width and `h` is the height. In this case, the length is 7 cm, the width is 3 and three-fifths cm (or 3.6 cm), and the height is 2 and two-fifths cm (or 2.4 cm). Plugging these values into the formula gives us a surface area of `2(7)(3.6) + 2(7)(2.4) + 2(3.6)(2.4)`, which simplifies to `50.4 + 33.6 + 17.28`, or **101.28 square centimeters**. So, the surface area of this rectangular prism is **101.28 square centimeters**.

Step-by-step explanation:

question in the picturre please look at the picture

Answers

The quadratic function in standard form is f(x) = x² - 4x - 12.

What are the coefficients of the quadratic function?

The coefficients of the quadratic function in standard form is calculated as follows;

The quadratic function is in the form of;

f(x) = ax² + bx + c

when x = -4, f(x) = -12

16a - 4b + c = -12

when x = -3, f(x) = -15

9a - 3b + c = -15

when x = -2, f(x) = -16

4a - 2b + c = -16

when x = -1, f(x) = -15

1a - 1b + c = -15

when x = 0, f(x) = -12

0a + 0b + c = -12

c = -12

Simplifying the equations, the value of a and b is calculated as;

16a - 4b + c = -12

9a - 3b + c = -15

4a - 2b + c = -16

a - b + c = -15

16a - 4b = 0

9a - 3b = -3

4a - 2b = -4

a - b = -3

16a = 4b

a = b/4

Substituting this expression for a into the last equation, we get:

b/4 - b = -3

b - 4b = -12

-3b = -12

b = 4

a = b/4

a = 4/4

a = 1

Therefore, the quadratic function in standard form is:

f(x) = x² - 4x - 12

Learn more about quadratic equation here: https://brainly.com/question/28038123

#SPJ1

Can anyone please help me answer this question?
Find the limit of p(x)= (x^4 - x^3 - 1)/ x^2 (x + 1) as x approaches -3

Answers

Answer:

Step-by-step explanation:To find the limit of p(x) as x approaches -3, we can first simplify the expression by factoring the numerator:

p(x) = (x^4 - x^3 - 1) / x^2(x + 1)

= [(x - 1)(x^3 + x^2 - x - 1)] / [x^2(x + 1)]

Now, when x approaches -3, the denominator of the fraction becomes zero, which means we have an indeterminate form of the type 0/0. To evaluate the limit, we can use L'Hopital's rule, which states that if we have an indeterminate form of the type 0/0 or infinity/infinity, we can take the derivative of the numerator and denominator separately and then evaluate the limit again.

Taking the derivative of the numerator and denominator, we get:

p'(x) = [(3x^2 - 2x - 1)(x^2 + 2x) - 2(x - 1)(2x + 1)] / [x^3(x + 1)^2]

Now, plugging in x = -3 into the derivative, we get:

p'(-3) = [(3(-3)^2 - 2(-3) - 1)((-3)^2 + 2(-3)) - 2((-3) - 1)(2(-3) + 1)] / [(-3)^3((-3) + 1)^2]

= [28 - 44] / [(-3)^3(-2)^2]

= -16 / 108

= -4 / 27

Since the derivative is defined and nonzero at x = -3, we can conclude that the original limit exists and is equal to the limit of the derivative, which is:

lim x->-3 p(x) = lim x->-3 [(x - 1)(x^3 + x^2 - x - 1)] / [x^2(x + 1)]

= p'(-3)

= -4 / 27

Therefore, the limit of p(x) as x approaches -3 is equal to -4/27.

Answer:

[tex]\lim_{x \to -3}p(x) =-\dfrac{107}{18}[/tex]

Step-by-step explanation:

Given the function [tex]p(x)=\dfrac{x^4-x^3-1}{x^2(x+1)}[/tex]

Let's give the expressions in the numerator and denominator their own function names so they are easy to refer to:

n, for numerator: [tex]n(x)=x^4-x^3-1[/tex]

d, for denominator:  [tex]d(x)=x^2(x+1)[/tex]

So [tex]p(x)=\dfrac{n(x)}{d(x)}[/tex]

Now, we want the limit of p(x) as x goes to -3.

[tex]\lim_{x \to -3}p(x) =\lim_{x \to -3}\dfrac{n(x)}{d(x)}[/tex]

For limits of quotients, it is important to analyze the numerator and the denominator.

Take a moment to observe that inputting -3 into the denominator is defined and does not equal zero:  [tex]d(-3)=(-3)^2((-3)+1)=-18\ne0[/tex]

Also, observe that inputting -3 into the numerator is defined:  [tex]n(-3)=(-3)^4-(-3)^3-1=81+27-1=107[/tex]

Importantly, both functions n & d are polynomials, which are functions that are continuous over [tex]\mathbb{R}[/tex].

Since both functions n & d are continuous, both n & d are defined at [tex]x=-3[/tex], and [tex]d(-3)\ne0[/tex], then the limit of the quotient is the quotient of the limits:

[tex]\lim_{x \to -3}\dfrac{n(x)}{d(x)}=\dfrac{ \lim_{x \to -3}n(x)}{ \lim_{x \to -3}d(x)}[/tex]

From here, again, since n & d are continuous over [tex]\mathbb{R}[/tex] and defined at the limit, [tex]\lim_{x \to -3}n(x)}=n(-3)[/tex] and [tex]\lim_{x \to -3}d(x)}=d(-3)[/tex].

Therefore,

[tex]\lim_{x \to -3}p(x) =\lim_{x \to -3}\dfrac{n(x)}{d(x)}=\dfrac{ \lim_{x \to -3}n(x)}{ \lim_{x \to -3}d(x)}=\dfrac{n(-3)}{d(-3)}=\dfrac{107}{-18}=-\dfrac{107}{18}[/tex]

11. The angle of elevation to the top of a building is found to be 18 degrees from the ground at a distance of 510 feet from the base of the building. Using this information, find the height of the building to the nearest whole number.

Answers

Answer:

Set your calculator to degree mode.

Please sketch the figure to confirm my answer.

tan(18°) = h/510

h = 510tan(18°) = 165.7 feet

Answer:

Construction Model Stats

User

Consider the time taken to completion time (in months) for the construction of a particular model of homes: 4.1 3.2 2.8 2.6 3.7 3.1 9.4 2.5 3.5 3.8 Find the mean, median mode, first quartile and third quartile. Find the outlier?

ChatGPT

To find the mean, we add up all the values and divide by the number of values:

Mean = (4.1 + 3.2 + 2.8 + 2.6 + 3.7 + 3.1 + 9.4 + 2.5 + 3.5 + 3.8) / 10

Mean = 36.7 / 10

Mean = 3.67

To find the median, we need to put the values in order:

2.5, 2.6, 2.8, 3.1, 3.2, 3.5, 3.7, 3.8, 4.1, 9.4

The middle number is the median, which is 3.35 in this case.

To find the mode, we look for the value that appears most often. In this case, there is no mode as no value appears more than once.

To find the first quartile (Q1), we need to find the value that separates the bottom 25% of the data from the top 75%. We can do this by finding the median of the lower half of the data:

2.5, 2.6, 2.8, 3.1, 3.2

The median of this lower half is 2.8, so Q1 = 2.8.

To find the third quartile (Q3), we need to find the value that separates the bottom 75% of the data from the top 25%. We can do this by finding the median of the upper half of the data:

3.7, 3.8, 4.1, 9.4

The median of this upper half is 3.95, so Q3 = 3.95.

To find the outlier, we can use the rule that any value more than 1.5 times the interquartile range (IQR) away from the nearest quartile is considered an outlier. The IQR is the difference between Q3 and Q1:

IQR = Q3 - Q1

IQR = 3.95 - 2.8

IQR = 1.15

1.5 times the IQR is 1.5 * 1.15 = 1.725.

The only value that is more than 1.725 away from either Q1 or Q3 is 9.4. Therefore, 9.4 is the outlier in this data set.

We can use trigonometry to solve this problem. Let h be the height of the building, and let d be the distance from the base of the building to the point where the angle of elevation is measured. Then we have:

tan(18 degrees) = h / d

Solving for h, we get:

h = d * tan(18 degrees)

Substituting d = 510 feet and using a calculator to evaluate the tangent of 18 degrees, we get:

h = 510 feet * tan(18 degrees)

h ≈ 157.3 feet

Rounding this to the nearest whole number, we get that the height of the building is approximately 157 feet.

Helppppppp pleaseee





The loudness of sound in decibels perceived by the human ear depends on the intensity levels according to


D=10log(I/lo)


Find the decibel level when I is 63, 096 times Io.


The decibel is -------------- dB when I is 63, 096 times Io.


Round your answer to the nearest whole number.

Answers

Answer:

We can use the given formula to calculate the decibel level D when the intensity level I is 63,096 times Io:

D = 10log(I/lo)

Where Io is the reference intensity level and is typically taken to be the threshold of hearing, which is 10^−12 watts/m^2.

So, substituting the values, we get:

D = 10log(63,096*Io/Io) = 10log(63,096)

Using a calculator, we find:

D ≈ 47.1 dB

Rounding this to the nearest whole number, we get:

The decibel level is 47 dB when I is 63,096 times Io.

I hope this helps mate.

11. Reason Inductively Complete the statement: If 8 = 2, then
m-12=. Explain.

Answers

The complete statement is, if 8 = m/4, then m - 12 = 20.

Describe Algebra?

Algebra is a branch of mathematics that deals with the study of mathematical symbols and the rules for manipulating these symbols. It involves solving equations and inequalities, manipulating expressions, and working with mathematical formulas to describe and analyze relationships between variables. Algebraic equations and expressions are used to represent and solve problems in a wide range of fields, including science, engineering, economics, and finance. Algebra is an essential tool for problem-solving and critical thinking, and it provides the foundation for more advanced mathematical concepts such as calculus, statistics, and linear algebra.

The main goal of algebra is to find unknown values or variables, typically represented by letters such as x, y, or z. Algebraic equations involve a variety of mathematical operations, including addition, subtraction, multiplication, and division. These equations may also include exponents, logarithms, and other advanced mathematical concepts.

To solve the problem, we can use algebraic manipulation.

Given 8 = m/4, we can solve for m by multiplying both sides by 4:

8 × 4 = m

32 = m

Now we can substitute m = 32 into the expression m - 12 to find:

m - 12 = 32 - 12 = 20

Therefore, if 8 = m/4, then m - 12 = 20.

To know more about expression visit:

https://brainly.com/question/4265798

#SPJ1

The complete question is:

Complete the statement: if 8= m/4, then m-12=

Las ecuaciones de la demanda y la oferta de cierto producto están dadas por espacio 4 q al cuadrado más p al cuadrado igual 1405 y p igual q más 10 donde p está en dólares por unidad y q está en unidades. Para un precio de 27 dólares por unidad, determine el gasto real del consumidor.

Answers

The actual consumer spending at a price of $27 per unit is $268.26.

How to calculate the price

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

Leans more about price on

https://brainly.com/question/1153322

#SPJ1

The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

Help please i would appreciated it


here is the picture is about Row Ops

Answers

The matrix operation add -4(row 1) to row 3 is[tex]\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right][/tex]

Evaluating the matrix expression

From the question, we have the following parameters that can be used in our computation:

[tex]\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\4&-1&6&-8\end{array}\right][/tex]

From the question, we understand that

We are to add -4(row 1) to row 3

This means that

row 3 = row 3 - 4 * row 1

When these values are evaluated, we have

4: 4 - 4 * 1 = 0

-1: -1 - 4 * 2 = -9

6: 6 - 4 * 1 = 2

-8: -8 - 4 * -5 = 12

This means that we relace 4, -1, 6, and -8 in row 3 with 0, -9, 2 and 12

Using the above as a guide, we have the following:

[tex]\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right][/tex]

Hence, the result of the matrix expression is [tex]\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right][/tex]

Read more about matrix at

https://brainly.com/question/11989522

#SPJ1

Other Questions
After a recent collapse of a structure in which many people died, an Engineer came to know about a bridge which is marginally safe. He informed his superior who asked him to stay calm and not to discuss with anyone, while waiting for the next year budget sessions to get some financial help for the repair required. What should the engineer do? can someone explain this to me. traveling 60 mhp in the car after 3 hours how long would that be The graph below shows the relationship between temperature in degrees Fahrenheit and degrees Celsius. What is the meaning of the y-intercept? A the change in degrees Fahrenheit for each change of one degree Celsius Bel change in degrees Celsius for each change of one degree Fahrenheit the temperature in degrees Fahrenheit when the temperature is zero degrees Celsius D the temperature in degrees Celsius when the temperature is zero degrees Fahrenheit What do historians mean by "universalizing empires"? discuss two ways either imperial rome or han dynasty china fit this definition. add a comma or semicolon if needed. Otherwise, submit the text without any additional punctuation.Mother yaks climb to higher altitudes than do males or females without calves researchers believe the steepmountain slopes may help protect calves from predators and provide a richer source of food. fill in the blanks with suitable idiom, I need help please blank g = blank kg =3/10kg Corey Corporation manufactures joint products W and X. During a recent period, joint costs amounted to $300,000 in the production of 20,000 gallons of W and 60,000 gallons of X. Both products will be processed beyond the split-off point, giving rise to the following data: W X Separable processing costs $ 40,000 $ 160,000 Sales price (per gallon) if processed beyond split-off $ 14 $ 12 The joint cost allocated to W under the net-realizable-value method would be: Find the necessary sample size. A population is normal with a variance of 99. Suppose you wish to estimate the population mean . Find the sample size needed to assure with 68. 26 percent confidence that the sample mean will not differ from the population mean by more than 4 units. A. 9B. 7C. 613D. 25 Find the square root of 1681 Consider the function f(x) = 3x^2 +4x - 5 on the closed interval [ - 1,2). Find the exact value of the slope of the secant line connecting ( - 1, f( - 1)) and (2, f(2)). m = ? An isosceles triangle has legs measuring 9 feet and a base of 12 feet. Find the measure of the base angle, x, to the nearest degree Cam put 4 12/25 pounds of rice in bags that each weigh 7/25 pound. She uses 1/8 of the bags of rice. How many bags of rice are left? Simplify and evaluate A 0. 41 kg spike is hammered into a railroadtie. The initial speed of the spike is equal to1. 4 m/s. If the tie and spike together absorb 40. 4percent of the spikes initial kinetic energyas internal energy, calculate the increase ininternal energy of the tie and spike. Answer in units of J. please and thank you Pls help, I need to pass geometry. Guess I'm failing Find the balance and net ionic equation for the statements below. Answer what you can.1. Calcium + bromine >2. Aqueous nitric acid, HNO3, is mixed with aqueous barium chloride 3. Heptane, C7H16, reacts with oxygen4. Chlorine gas reacts is bubbles through aqueous potassium iodide (write both the balanced and net ionic equation)5. Zn (s) + Ca (NO3)2 (aq) >6. Aqueous sodium phosphate mixes with aqueous magnesium nitrate (write both the balanced and net ionic equation)7. Aluminum metal is placed in aqueous zinc chloride8. Iron (III) oxide breaks down9. Li(OH) (ag) + HCI (aq) >(write both the balanced and net ionic equation)10A. Solid sodium in water. Hint: Think water, H2O, as H(OH) 10B. What would happen if you bring a burning splint to the previous reaction?A- The burning splint continues to burn.B - The burning splint would make a "pop" sound.C - The burning splint would go out. What are two results of the uneven heating of Earth's surface?A. Ocean currentsB. Earth's axis tiltc. Global windsD. Coriolis effectSUBMIT Pls tell me the answe According to Buddhist tradition, what do the Four Noble Truths describe? Suffering and how to overcome it O Dharma and the natural law O How the caste system is organized Medical knowledge and skills