parallel and perpendicular line math homework

Parallel And Perpendicular Line Math Homework

Answers

Answer 1

a. The slopes of the lines are:

Slope of line 1 = -5/2

Slope of line 2 = 7/5

Slope of line 3 = -5/2

b.

Line 1 and Line 2 : Neither

Line 1 and Line 3 : Parallel

Line 2 and Line 3 : Neither

Calculating the slope of lines

From the question, we are to determine the slope of each of the given lines:

Using the formula,

m = (y₂ - y₁) / (x₂ - x₁)

Where m is the slope

(-4, 7) and (-2, 2)

m = (2 - 7) / (-2 - (-4))

m = (-5) / (2)

m = -5/2

(0, -1) and (-5, -8)

m = (-8 - (-1)) / (-5 - 0)

m = (-7) / (-5)

m = 7/5

(-2, 8) and (2, -2)

m = (-2 - 8) / (2 - (-2))

m = (-10) / (4)

m = -5/2

b.

NOTE: Two lines are said to be parallel if they have equal slopes; and they are said to be perpendicular if the slope of one is the negative reciprocal of the other.

Thus,

Line 1 and Line 2 : Neither

Line 1 and Line 3 : Parallel

Line 2 and Line 3 : Neither

Learn more on Calculating the slope of lines here: https://brainly.com/question/3493733

#SPJ1


Related Questions

Which function is represented by the graph?
A f(x) = -12x + 6f(x) = - 1 2 x + 6
B f(x) = 12x + 6f(x) = 1 2 x + 6
C f(x) = -2x + 6f(x) = -2x + 6
D f(x) = 2x + 6

Answers

Answer:

B

Step-by-step explanation:

Notice that all y-intercepts are the same (doesn't give a clue to the answer).

The line has a downward slant as you move from left to right, so the slope is negative (eliminating A & C as answers).

Determine the actual slope by identifying the y-intercept and x-intercept, and calculate Rise over Run:

  Rise = -6 (goes from +6 to 0)

  Run = +12

  -6/12 = -1/2

A sphere is pictured below. Select the type of cross section formed when the figure is cut by a horizontal plane.
A) circle
B) triangle
C) hexagon
D) rectangle

Answers

Answer:

A) circle.

When a sphere is cut by a horizontal plane, the resulting cross section is a circle. This is because a sphere is a three-dimensional object that is perfectly symmetrical in all directions, so any plane that intersects it will create a circular cross section.

Answer:

the answer is A) circle.

if 3x+2y=36 and (5y)/(3x)=5, what is the value of x+y?

Answers

Answer:

16

Step-by-step explanation:

5y/3x = 5

3x = 5y/5

3x = y

3x + 2y = 36

y + 2y = 36

3y = 36

y = 36/3

y = 12

3x = y

3x = 12

x = 12/3

x = 4

x + y

= 4 + 12

= 16

x + y = 16

1. The rectangle shown is dilated by a scale factor of 3. (a) Calculate the length of each side of the dilated image. (b) Draw the new image and label it .

Answers

According to the information, the dilated rectangle would have the dimensions of 2.66cm on the side and 5cm on the base.

How to calculate the length of each side of the dilated image?

To calculate the dimensions of each side of the dilated figure we must identify the dilation factor. In this case it is 3, so we must divide the length of each side into the number of the expansion factor as shown below:

8 / 3 = 2.6615 / 3 = 5

According to the above, the dilated rectangle would remain with the dimensions of 2.66cm on the side and 5cm on the base.

Learn more about scale factor in: https://brainly.com/question/30215119

#SPJ1

how do you do comparison for percents

Answers

In order to do a comparison for percents, you must convert them to decimal form and then juxtapose the decimal values side by side to see which is greater or less.

What are percents?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent sign is commonly used, however the acronyms pct., pct, and sometimes pc are also used. A % is a number with no dimensions; it has no unit of measurement.

To calculate the percentage, divide the amount by the total value and multiply the result by 100.

Divide a percentage by 100 to get a decimal. So 25% is equal to 25/100, or 0.25. Multiply a decimal by 100 (simply shift the decimal point two places to the right) to convert it to a percentage. For example, 0.065 equals 6.5% and 3.75 equals 375%.

Learn more about percents:
https://brainly.com/question/28670903
#SPJ1

Find the value of m + n + 22 if m is 34 and n is 47.

Answers

the answer is 103!!!

What is the area of this figure?
8 m
6 m
5 m
2 m
13 m
8 m

Answers

Answer:

It's not clear what figure is being referred to. The provided numbers could be dimensions of a shape, but without additional information or context, it's impossible to determine the area of the figure. Can you please provide more details or a diagram?

Step-by-step explanation:

-2(-2/3) x 3/5

Write in simplest form .

Answers

Answer:

4/5

Step-by-step explanation:

in the diagram below A, B, C are points in the same horizontal plane with AC =BC=22.3 meters.AD is a vertical tower which is anchored at B and C.The angle of elevation of D from B is 25.4. BDC=58.6 and ACB= 50.8.​

Answers

The length of AB is 27.3m and AD is 113 m.

Using Trigonometry in Triangle ABC

tan 50. 8 = P / B

tan 50.8 = AB / 22.3

1.2261 = AB/ 22.3

AB =  27.34 m

Now, again using Trigonometry

tan 25.4 = P / B

tan 50.8 = AD / 27.34

0.474 = AD/ 27.34

AD =  12.95916 m

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ1

please help, will give brainiest!

Answers

Answer:

See explanation.

Step-by-step explanation:

Let's analyze each solution to determine if it's viable or non-viable based on the given constraints: Johnnie and Amy have $38.50, and they cannot buy more than 7 lunches.

1. 8 slices of pizza and 0 hamburgers

This solution is non-viable because they are not allowed to buy more than 7 lunches. In this case, they would be buying 8 lunches.

2. 5 slices of pizza and 2 hamburgers

Cost: 5×4.75+2×5.55=23.75+11.10=34.85

This solution is viable because the total cost is within their budget, and they are buying 7 lunches.

3. 4 slices of pizza and 3 hamburgers

Cost: 4×4.75+3×5.55=19.00+16.65=35.65

This solution is viable because the total cost is within their budget, and they are buying 7 lunches.

4. 3 slices of pizza and 2 hamburgers

Cost: 3×4.75+2×5.55=14.25+11.10=25.35

This solution is non-viable because they are only buying 5 lunches, which is less than the maximum allowed. But if it is acceptable to only buy below 7 lunches, then this solution can be viable.

5. 2 slices of pizza and 6 hamburgers

Cost: 2×4.75+6×5.55=9.50+33.30=42.80

This solution is non-viable because the total cost exceeds their budget.

6. 0 slices of pizza and 7 hamburgers

Cost: 7×5.55=38.85

This solution is non-viable because the total cost exceeds their budget.

In conclusion, the viable solutions are:

5 slices of pizza and 2 hamburgers

4 slices of pizza and 3 hamburgers

Possible in being viable:

3 slices of pizza and 2 hamburgers

The lion population in a certain reserve drops by 5% every year. Currently, the population's size is 325. i.Write a function that gives the lion population size,P(t), t years from today ii. What will the population be in 4 years. Write an exponential function for all three

Answers

Answer:

1. The function that gives the lion population size P(t), t years from today is:

P(t) = 325(0.95)^t

2. To find the population in 4 years, we can substitute t=4 in the function:

P(4) = 325(0.95)^4

P(4) = 279.14

So the population will be approximately 279 lions in 4 years.

3. The exponential function for all three years is the same as in part 1:

P(t) = 325(0.95)^t

please help me

What degree of rotation about the origin will cause the triangle below to map
onto itself?

Answers

360 because it is going to be in the same spot

Olivia Jackie. Play? The game with the spinner Olivia's funny 2 out of 12 out of fift. Do you watch Jackie's fun 2 on 19 of a 100? Find each experimental probability of spinning a 2.

Answers

The experimental probability of spinning a 2 on Olivia's spinner is 0.1667.

The experimental probability of spinning a 2 on Jackie's spinner is 0.02 or 2%.

Olivia and Jackie are playing a game with a spinner. Olivia's spinner has 12 equal sections, two of which are marked as "funny 2". Jackie's spinner has 100 equal sections, and two of them are marked as "fun 2".

To find the experimental probability of spinning a 2 in Olivia's spinner, we first need to determine the total number of possible outcomes, which is the number of sections on the spinner. In this case, the spinner has 12 sections. Out of these, two sections are marked as "funny 2". Therefore, the number of favorable outcomes is 2.

Experimental probability of spinning a 2 in Olivia's spinner can be calculated as Experimental probability = Number of favorable outcomes / Total number of possible outcomes

= 2 / 12

= 1 / 6

= 0.1667

Therefore, the experimental probability of spinning a 2 on Olivia's spinner is 0.1667.

To find the experimental probability of spinning a 2 in Jackie's spinner, the total number of possible outcomes is the number of sections on the spinner, which is 100. Out of these, two sections are marked as "fun 2". Therefore, the number of favorable outcomes is 2.

Experimental probability of spinning a 2 in Jackie's spinner can be calculated as Experimental probability = Number of favorable outcomes / Total number of possible outcomes

= 2 / 100

= 0.02

Therefore, the experimental probability of spinning a 2 on Jackie's spinner is 0.02 or 2%.

To know more about Probability here

https://brainly.com/question/11234923

#SPJ1

The angle of depression from the window of a building to a parked car is 38°. If the car is parked 320 feet away from the base of the building, what is the distance between the window and the car to the nearest tenth?

Answers

Answer:

Set your calculator to degree mode.

Please sketch the figure to confirm my answer.

cos(38°) = 320/d

d•cos(38°) = 320

d = 320/cos(38°) = 406.1 feet

Place the indicated product in the proper location on the grid.
a²b(3a² +4ab²)

Answers

The simplified expression based on tej values given is 3a⁴b + 4a³b³.

How to solve the expression

An expression is a combination of variables, constants, and operators that can be evaluated to produce a single value. In programming languages, expressions are used to represent computations and are often used to assign values to variables, compare values, or perform mathematical operations. Expressions can be simple, such as a single variable or constant, or complex, involving multiple operations and variables.

It should be noted that to simplify the expression a²b(3a² +4ab²), we can distribute the a²b term to the terms inside the parentheses using the distributive property of multiplication:

a²b(3a² +4ab²) = 3a⁴b + 4a³b³

Therefore, the simplified expression is 3a⁴b + 4a³b³.

Learn more about expressions on;

https://brainly.com/question/2164351

#SPJ1

Write the following Babylonian numeral as a Hindu-Arabic numeral.

<|| <<||||

Answers

Answer:

The Babylonian numeral <|| <<|||| represents the number 51 in the Babylonian numeral system.

To convert it to the Hindu-Arabic numeral system, we first need to determine the place values of the symbols. The symbol <|| represents 50 and <<|||| represents 1.

So, we can write the number as:

50 + 1 = 51

Therefore, the Hindu-Arabic numeral equivalent of the Babylonian numeral <|| <<|||| is 51.

25 POINTS
Which is the BEST definition of dilation?
A: a transformation that either reduces or enlarges an object in the coordinate plane
B: a transformation that spins an object in the coordinate plane
C: a transformation that either slides or shifts an object in the coordinate plane
D: a transformation that flips an object in the coordinate plane

Answers

Answer: A

Step-by-step explanation:

A dilation is not a rigid transformation, which means it has to scale the object into a different measure. So, enlarging or reducing the size of an object is a dilation.

For positive acute angles A and B, it is known that tanA= 4/3 and sinB= 53/28 ​ . Find the value of sin(A−B) in simplest form.

Answers

The value of sin(A-B) is 2334/6625

What is trigonometric identity?

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

Example of trigonometric identity include;

cos 2 θ + sin 2 θ = 1 cos 2 θ + sin 2 θ = 1.

1 + cot 2 θ = csc 2 θ 1 + cot 2 θ = csc 2 θ

1 + tan 2 θ = sec 2 θ 1 + tan 2 θ = sec 2 θ

Sin(A-B) = = sin A cos B- cos Asin B

if tan A = 4/3, then 4 is the opp and 3 is the adj,

hyp² = 4²+3²

= 16+9

hyp² = 25

hyp = √25

= 5

cos A = 3/5 and sinA = 4/5

if sinB = 28/53, then opp is 28 is the opp and 53 is the hyp

adj = √ 53²-28²

adj = √ 2809 - 784

adj = √2025

adj = 45

cos B = 45/58

sin(A-B) = 4/5 × 45/58 - 3/5× 28/53

= 18/29 - 84/265

= (4770-2436)/6625

= 2334/6625

therefore the value of sin(A-B) = 2334/6625

learn more trigonometric identities from

https://brainly.com/question/7331447

#SPJ1

Write null and alternative hypothesis, test statics, p-value, and inference.

For Climate Change Beliefs, use variables: climate change and certainty.
For Class time use, use variables: income class, and sleeping.

Answers

The value of null and alternative hypothesis are change beliefs and certainty test statics, p-value, and inference are the null hypothesis and conclude that there is insufficient evidence to suggest a significant relationship.

Climate Change Beliefs:

Null Hypothesis (H0): There is no significant relationship between climate change beliefs and certainty.

Alternative Hypothesis (Ha): There is a significant relationship between climate change beliefs and certainty.

Test Statistic: Pearson's correlation coefficient (r)

The Pearson correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, we will use it to determine the relationship between climate change beliefs and certainty.

P-Value: The p-value is the probability of obtaining a test statistic as extreme as the observed value, assuming that the null hypothesis is true.

Inference: If the p-value is less than the significance level (usually 0.05), we reject the null hypothesis and conclude that there is a significant relationship between climate change beliefs and certainty. If the p-value is greater than the significance level, we fail to reject the null hypothesis and conclude that there is insufficient evidence to suggest a significant relationship.

Class Time Use:

Null Hypothesis (H0): There is no significant relationship between class time use, income class, and sleeping.

Alternative Hypothesis (Ha): There is a significant relationship between class time use, income class, and sleeping.

Test Statistic: Multiple regression analysis

Multiple regression analysis is used to determine the relationship between a dependent variable and two or more independent variables. In this case, class time use, income class, and sleeping will be the independent variables, and we will use it to determine the relationship with the dependent variable.

P-Value: The p-value is the probability of obtaining a test statistic as extreme as the observed value, assuming that the null hypothesis is true.

Inference: If the p-value is less than the significance level (usually 0.05), we reject the null hypothesis and conclude that there is a significant relationship between class time use, income class, and sleeping.

To know more about hypothesis here

https://brainly.com/question/29576929

#SPJ1

Consider the following. Circle: x = h + r cos(theta), y = k + r sin(theta) Use the above to find a set of parametric equations for the conic. Circle: center: (−2, −3); radius: 6

Answers

Answer:

Step-by-step explanation:

The standard parametric equations for a circle with center (h, k) and radius r are:

x = h + r cos(theta)

y = k + r sin(theta)

Here, center is (−2, −3) and the radius is 6. Therefore, we have:

h = -2

k = -3

r = 6

Substituting these values into the standard equations, we get:

x = -2 + 6 cos(theta)

y = -3 + 6 sin(theta)

So the set of parametric equations for the circle is:

x(t) = -2 + 6 cos(t)

y(t) = -3 + 6 sin(t)

where t = theta.

1. Find the mean absolute deviation of this set of data. I 11, 20, 38, 5, 4 Data Mean Difference Sum Mean Absolute Deviation SUGRE Absolute Value​

Answers

mean = 11+20+38+5+4/5 = 78/5 = 15.6

PLS HELP ME WITH THIS QUESTION PLS
PLS SHOW YOUR WORKING OUT

Answers

A formula for y in terms of x and c is y = c⁵√x

How to determine the expression

In inverse variation, as the value of one of the variables increases, the value of the other decreases and as the value of one of the variable decreases, the other increases.

From the information given, we have that;

y ∝1/√x

Now, let's find the constant value, k, we have;

y√x = k

We have that their values are;

y = c⁴, x = c²

Substitute the values, we have;

c⁴√c² = k

k = c⁵

Now, substitute the values

y = k√x

y = c⁵√x

Learn about inverse variation at: https://brainly.com/question/13998680

#SPJ1

The data set shown below represents the distribution of daily high temperatures in a city for 8 days.

79
,

73
,

72
,

70
,

72
,

66
,

81
,

75
79, 73, 72, 70, 72, 66, 81, 75

What is the median high daily temperature, in degrees Fahrenheit, in the city?

Answers

For the given data set of temperatures, the median temperature is 72.5 degree Fahrenheit.

In order to find the median temperature, we first need to arrange the temperatures in order from lowest to highest:

The temperatures arranged in order is : {66, 70, 72, 72, 73, 75, 79, 81}

There are 8 temperatures in total, which is an even-number, so the median will be the average of fourth and fifth day temperature.

In this case, the temperature of the fourth day is 72, and fifth day is 73,

The average will be = (72+73)/2 = 72.5,

Therefore, the median high daily temperature in the city is 72.5 degrees Fahrenheit.

Learn more about Median here

https://brainly.com/question/27353809

#SPJ1

The given question is incomplete, the complete question is

The data set shown below represents the distribution of daily high temperatures in a city for 8 days.

79,73,72,70,72,66,81,75.

What is the median high daily temperature, in degrees Fahrenheit, in the city?

Solve the system of equations
x+y=15
Y=x^(2)-5

(-5,20) and (4,11)
(3,4) and (7,8)
(5,10) and (-4,19)
(5,20) and (4,11)

Answers

Answer:

  (a)  (-5,20) and (4,11)

Step-by-step explanation:

You want the solutions to the system of equations ...

x + y = 15y = x² - 5

Substitution

Using the second equation to substitute for y in the firs equation, we have ...

  x +x² -5 = 15

  x² +x -20 = 0 . . . . . subtract 15, put in standard form

  (x +5)(x -4) = 0 . . . . . factor

Zero product rule

A product is zero only when one or more factors is zero. The values of x that make the factors zero are ...

  x = -5  and  x = 4

The corresponding values of y are ...

  y = 15 -x

  y = 15 -{-5, 4} = {20, 11}

The solutions are (x, y) = (-5, 20) and (4, 11).

Malachi asks students in his class, "How long does it take you to get to school?" The histogram
shows the data.
Which statement best describes the distribution?

Answers

Answer:

The distribution is symmetric

Step-by-step explanation:

Because in both sides it has the same structure, so that means that the value is the same in both sides

Drag tiles to fill in the blanks for o complete the experience that could be used to predict the number of possible outcomes

Answers

The first blank will be filled by Option A: Total Number of Possible Outcomes. The second blank will be filled by Option B: Number of Winners

How to explain the probability

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

= n(E) / n+S)

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Thus, the first blank will be filled by Option A: Total Number of Possible Outcomes. The second blank will be filled by Option B: Number of Winners

Learn more about probability here:

brainly.com/question/1210781

#SPJ1

Drag tiles to fill in the blanks to complete the expression that could be used to predict the number of winners of a game. Tiles may be used once or not at all. A)Total Number of Possible Outcomes B)Number of Winners C)Number of Unfavorable Outcomes D)Number of Games P(event) = Number of Favorable Outcomes _________________________ ????????????????????????????? = ????????????????????????????? _________________________ 11 Total Number of Contestants

An animal shelter has 96 animals if 5/8 of the animals are dogs and 1/4 of the animals are cats how many animals are neither dogs nor cats?

Answers

There are 12 animals that are neither dogs nor cats.

How many animals are neither dogs nor cats?

If 5/8 of the animals are dogs, then the remaining 3/8 of the animals are not dogs.

3/8 x 96 = 36

if 1/4 of the animals are cats, then the remaining 3/4 of the animals are not cats.

3/4 x 96 = 72

The number of animals that are neither dogs nor cats is calculated as;

96 - 36 - 72 = 12

Learn more about fractions here: https://brainly.com/question/78672

#SPJ1

Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42

Answers

Answer: X = 25

Step-by-step explanation: Since 36 divided by 2 equals 18, which would cancel out the two on the left side leaving us with. (x - 7) = 18 we can add 7 to both sides to get. X = 25


Edit: To whoever said my math is incorrect is wrong, I even double checked with multiple sources and people. It must’ve been a different equation or number. Sorry for not being able to help, however the math was correct.

given that ab is the diameter of a circle o find the missing angle and arc measures show your work look at the photo of the circle

Answers

The given angles are:

M arc CB=64°,M<AOC= 116° ,M arc AD=26°,M arc DFB=154°,M<CDB=32°.

How to solve this

First, we use the property that the measure of a central angle is equal to the measure of the intercepted arc.

Given that <COB = 64°, we know that the measure of arc CB is also 64°.

Next, we use the fact that the measure of an angle made on the circumference is half the measure of the angle made at the center.

We know that the measure of intercepted arc AD is 26°, and since the angle made at the center, <ABD, is 13°, we can calculate that the measure of arc AD is 2 x 13° = 26°.

Using the fact that a semicircle has a measure of 180°, we know that the measure of arc DFB is 180° - 26° = 154°.

Finally, we can use the angle CDB to find the missing angle.

We know that <CDB is an angle made on the circumference and that the measure of arc CB is 64°.

Thus, we can calculate that <CDB = 64°/2 = 32°.

Therefore, the missing angle is 32°.

Read more about angles here:

https://brainly.com/question/25716982

#SPJ1

algebra pls helpppppppppp

Answers

The correct answers are:

They are inverses of one another

They are symmetric over the line y=x

What is exponential form?

When a number is too big or too little, exponential notation can express it as a single number and 10 increased to the power of the appropriate exponent.

The exponential form [tex]y=5^x[/tex]

The logarithmic form [tex]y = log_5\ x[/tex] are inverse functions of each other.

If we [tex]y = 5^x[/tex], then [tex]x = log_5\ y[/tex].

As long as x is a real number and y is positive, this is true for any value of x and y.

The graphs of [tex]y = 5^x[/tex] and [tex]y = log_5\ x[/tex] are symmetric over the line y = x.

We obtain the other graph by reflecting the first graph across this line.

Over the line y = x, the inverse functions are always symmetric.

If we swap the x and y coordinates of any point on one graph, we get a comparable position on the other graph.

To know more about exponential form, visit:

https://brainly.com/question/30240560

#SPJ1

Other Questions
In a typical lightning strike, 2. 5 c flows from cloud to ground in 0. 20 ms. How does language whose primary function is to serve as an instrument of communication, serves to help establish aspects of the social identity of it's speaker? explain account for the difficulties encountered by the magi on the way to Bethlehem in J-s Elliot's Journey of the magi" Find the number(s)bsuch that the average value off(x)=6x 238x+40on the interval[0,b]is equal to 16 . Select the correct method. Setb1f(3)=16and solve forbSetf(b)=16and solve forbSet 0bf(x)dx=16and solve forbSetb1 0bf(x)dx=16and solve forbb=Use a comma to separate the answers as needed. Assume that demand equation is given by q=6000-100p. Find the marginal revenue for the given production levels (values of q). (Hint: Solve the demand equation for p and use R(q)=qp)a). 1000 unitsThe marginal revenue at 1000 units is ____. (simplify your answer)b). 3000 unitsThe marginal revenue at 3000 units is ____. (simplify your answer)c). 6000 unitsThe marginal revenue at 6000 units is ____. (simplify your answer) Solution A Solution BParticle Size of Salt large clumps tiny grainsTemperature of Solvent cold water hot waterLevel of Agitation slow stirring fast stirringWhat conclusion can be drawn from these solutions?A. Solution A will take less time to dissolve, because gently stirring will allow it to combine more evenly. B. Solution B will take longer to dissolve and might have some undissolved salt remaining at the bottom of the solution due to the high temperature. C. Solution B will take less time to dissolve, because hot water will cause some of the salt to evaporate. D. Solution A will take longer to dissolve and might have some undissolved salt remaining at the bottom of the solution due to the low temperature the the mpc, the greater the tax cut needed to induce a specific initial increase in consumption. Can someone please help me ASAP? Its due tomorrow. Show work please A 54.0 cm long string is vibrating in such a manner that it forms a standing wave with two antinodes. (The string is fixed at both ends.) (a) Which harmonic does this wave represent? first harmonic second harmonic third harmonic fourth harmonic none of the above (b) Determine the wavelength (in cm) of this wave ____ cm (c) How many nodes are there in the wave pattern? 1234none of the above (d) What If? If the string has a linear mass density of 0.00472 kg/m and is vibrating at a frequency of 261.6 Hz, determine the tension (in N) in the string. Question 10 9 pts 1 De Let f(x) = 2.3 + 6x? - 150 +3. (a) Compute the first derivative of f'(x) = (c) on what interval is f increasing? interval of increasing = (d) On what interval is f decreasing? interval of decreasing = **Show work, in detail, on the scrap paper to receive full credit. the battery life of the iphone has an approximately normal distribution with a mean of 10 hours and a standard deviation of 2 hours. if you randomly select an iphone, what is the probability that the battery will last more than 10 hours? in the early 20th century, which of the following is a characteristic of a prepaid group practice?insurance company reimburses beneficiary for out-of-pocket expensesphysician is paid a flat fee per person regardless of services renderedphysicians are employees of the hmophysicians are paid for the specific services they render A school wants to rent out a laser tag arena the table shows the cost of renting the arena for different numbers of hours suppose the arena charges a constant hourly rate fill in the missing value in the table hours _______ 5 9 -___________cost (in dollars ) 500 1,250 __________ 3,500 Natalie saves money in her piggy bank. Maria saves money in a savings account at a bank.Which statement about the savings plans is true? ResponsesNatalie uses a safer way to save money because she can protect her piggy bank.Maria's way of saving money allows her to earn interest and make her money grow.Maria will have less money because she must pay sales tax on her money.Natalie's method of saving is better because Maria must pay interest on her money. Which of the following lists includes only abiotic factors?Plants, animals, average daily temperatureRainfall amounts, average daily temperature, minerals in soilMinerals in soil, plants, rainfall amountsAnimals, rainfall amounts, soil composition In "To the Maiden," how does Crane develop the idea that experience often determines how people perceive things? Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of [tex]12ft^{3}[/tex]Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of [tex]16ft^{3}[/tex]What are the widths of Kyle and Myla's boxes? Explain how you know.help please! and please have easy explanation that's easy to understand :)) Find the area of the shaded region. Provide an answer accurate to thenearest tenth.18 ft10 ft PLEASE HELP WITH THE IMAGE!! DUE TOMORROW!!! Solve the trigonometric equation in the interval [0, 2). give the exact value, if possible; otherwise, round your answer to two decimal places. (enter your answers as a comma-separated list.) 2 cos2(x) + cos(2x) = 0 x =