The sides of the base of a right square pyramid are 10 feet long. The slant height is 15 feet. When the side lengths of the base and the slant height are both multiplied by a factor of 4, by what factor is the surface area multiplied?

Answer:

C.  20 ≤ h < 30

Step-by-step explanation:

Median

The value in the middle of the data set when all the data values are placed in order of size.

As this is grouped data, we can only estimate the median.

Add an extra row to the table showing the Cumulative Frequency:

[tex]\begin{array}{|c|c|c|}\cline{1-3} \sf Height & \sf Frequency & \sf Cumulative\:Frequency \\\cline{1-3} \sf 0 \leq h < 10 & 1 & 1 \\\cline{1-3} \sf 10 \leq h < 20 & 9 & 10 \\\cline{1-3} \sf 20 \leq h < 30 & 7 & 17 \\\cline{1-3} \sf 30 \leq h < 40 & 13 & 30 \\\cline{1-3}\end{array}[/tex]

To find which class the median is in, divide the total number of data values by 2:

[tex]\implies \sf \dfrac{n}{2}=\dfrac{30}{2}=15[/tex]

Therefore, there are 15 values less than or equal to the median.

From the table, the 11th to 17th data values are in class 20 ≤ h < 30.  Therefore, the median must be in the 20 ≤ h < 30 class.

Answer:

C (look at explain!)

Step-by-step explanation:

Answer:

15.1 gallons are needed to shut off the alarm.

Answer:

c.) -3x + 6 = -9

Original question answer:

2x - 4 = 6

2x = 6 + 4

2x = 10

x = 10/2 = 5

===========

a) 5x - 6 = -11

5x = -11 + 6

5x = -5

x = -1

b) -4x - 2 = 10

-4x = 10 + 2

-4x = 12

x = 12/-4 = -3

c) -3x + 6 = -9

-3x = -9 - 6

-3x = -15

x = -15/-3 = 5

d) 2x + 3 = 7

2x = 7 - 3

2x = 4

x = 4/2 = 2

Answer:

Step-by-step explanation:

2x - 4 = 6    |add 4 to both sides

2x = 10    |divide both sides by 2

x = 5

a)

5x - 6 = -11   |add 6 to both sides

5x = -5    |divide both sides by 5

x = -1 ≠ 5

b)

-4x - 2 = 10   |add 2 to both sides

-4x = 12    |divide both sides by  (-4)

x = -3 ≠ 5

c)

-3x + 6 = -9     |subtract 6 from both sides

-3x = -15     |divide both sides by (-3)

x = 5 √

d)

2x + 3 = 7    |subtract 3 from both sides

2x = 4    |divide both sides by 2

x = 2 ≠ 5

Answer:

$2,400

Step-by-step explanation:

Total Amount withdrawn from bank = Withdrawn amount spent + Withdrawn amount remaining = $450+$150 = $600

1/4 of Savings in bank = $600

Total savings in bank = [tex]600/\frac{1}{4}[/tex]

= 600 * 4

= $2,400

The original amount of the bill is $90.

Given that, the gratuity on a restaurant bill = $18 and tip = 20%.

We need to find the original amount of the bill.

A gratuity is a sum of money customarily given by a customer to certain service sector workers such as hospitality for the service they have performed, in addition to the basic price of the service.

The tip is directly proportional to the total cost

[tex]=\frac{18}{0.20} =x[/tex]

= $90

Therefore, the original amount of the bill is $90.

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Answer:

I think it’s C

Step-by-step explanation:

I think

Answer:

183

Step-by-step explanation:

The absolute value of a number is the number's distance from zero, which will always be a positive value. To find the absolute value of a number, drop the negative sign if there is one to make the number positive.

Answer: 183 ✅

Step-by-step explanation:

Hii, do you need to know the absolute value of "-183"? No problem! (:

The absolute value of a number is that number's distance from zero.

That's why absolute value is always positive, because negative distances don't exist.

That's why the absolute value of a number is always positive.

| | denotes absolute value

[tex]\large\boldsymbol{\therefore,\;the\;absolute\;value\;of\;-183\;is\;183}}[/tex]

Voila! There's our answer, cheers! (:

Hope that this helped! Best wishes.      

[tex]\bigstar\underbrace[/tex]

The rule that describes the composition of transformations that maps figure PQRS to figure P"Q"R"S"is r y-axis • RO, 90° (x, y)

See attachment for complete question

From the image, we have:

P = (1,1)

Q = (1,5)

R = (3,5)

S = (3,1)

Start by reflecting PQRS across the y-axis. i.e. r y-axis

This is done by

(x, y) -> (-x,y)

So, we have:

P' = (-1,1)

Q' = (-1,5)

R' = (-3,5)

S' = (-3,1)

Next, we rotate by 90 degrees counterclockwise i.e. RO, 90° (x, y)

This is done by

(x, y) -> (-y, x)

So, we have:

P'' = (-1,-1)

Q'' = (-5,-1)

R'' = (-5,-3)

S'' = (-1,-3)

Hence, the rule that describes the composition of transformations that maps figure PQRS to figure P"Q"R"S"is r y-axis • RO, 90° (x, y)

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To form equations from word problems, we can derive mathematical operations as well as variables from the given information.

In this case, each time Walker reads a certain number of pages, we subtract that from the total number of pages left to know how many pages is left to read.

Let r represent the pages left to read.

792 pages in total

Walker reads 15 pages a day during the week and 25 pages a day during the weekend.

5 weeks have passed

r = 792 - (5×15 + 2×25)×5

Sorry, I think my answer to your question is wrong.

The transformation of C(9, 3) when dilated by a scale factor of 3, using the origin as the centre of dilation is C'(27,9).

The given coordinate is C(9, 3) and a scale factor is 3.

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

If any figure is dilated by a scale factor k with the centre of dilation as the origin.

Then the change pr transformation in each of the vertices of the figure is given by (x,y) ⇒ (kx, ky).

Here, k=3.

So, C(9,3) ⇒ C'(9×3,3×3)

= C(9,3) ⇒ C'(27,9)

Therefore, the transformation of C(9, 3) when dilated by a scale factor of 3, using the origin as the centre of dilation is C'(27,9).

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There are 175 students out of the 1,000 would you expect to prefer a silver car.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

We have to given that;

Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car.

Now, We have there are 14 students out of 80 prefer silver car for their first car.

Hence, By using proportion, we get;

⇒ 14/80 = x / 1000

⇒ 14 × 1000 / 80 = x

⇒ x = 175

Thus, There are 175 students out of the 1,000 would you expect to prefer a silver car.

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Answer:

                     175

（￣︶￣）↗　

Step-by-step explanation:

Answer:

x-int=(2,0)

y-int=(0,4)

Step-by-step explanation:

The value of x is 5.

Two angles that have the same vertex and a side in common.

Here, m∠2 = m∠6

       5x + 5 = 30

       5x = 25

        x = 25/5

       x = 5

Thus, The value of x is 5.

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The degrees of freedom in testing for differences between the means of two dependent populations where the variance of the differences is unknown are: df = n - 1

In statistics, degrees of freedom refers to the number of distinct values that can change in an evaluation without exceeding any constraints.

The degree of freedom is crucial and necessary when attempting to comprehend the significance of a test statistic and the validity of the null hypothesis.

In testing for differences between the means of two dependent populations where the variance of the differences is unknown, the degrees of freedom are: df = n - 1

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The important similarity between the uniform and normal probability distributions is that the mean and the median of both distributions are equal

In a normal probability distribution, we have:

Mean = Median

In a uniform probability distribution, we have:

Mean = Median

This means that:

In both distributions, the mean and the median are equal

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Answer:

46,57/4

Step-by-step explanation:

area = π.r^2 = π.(d^2)/4

d^2 = AB^2= 5,6^2+3,9^2 =46,57

----> area = π.46,57/4

Answer:

The answer would be D    7mn+3m/2+5n/4

Step-by-step explanation:

A polynomial is a combination of terms separated by +

or  − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Answer:

Step-by-step explanation:

Formula

a = 9 / (f - 7)

Note

If you are going to try and isolate f, you must take the 7 with it, assuming that getting f to the left hand side will the your first step. It will be mine.

Solution

a = 9 / (f - 7)                     Multiply both sides by (f - 7) leave the brackets around (f - 7)

a(f - 7) = 9(f - 7)/(f - 7)      Combine

a(f  -  7) = 9                       Remove the brackets

fa - 7a  = 9                        Add 63 to both sides

fa - 7a + 7a = 9 + 7a         Combine

fa = 9 + 7a                        Divide by a

fa/a = (9 + 7a)/a                Simplify

f = (9 + 7a)/a

Answer

f = (9 + 7a)/a

Answer:

i dont even have the first one on my computer

Step-by-step explanation:

The only increasing function is the last option:

[tex]f(x) = 5^x[/tex]

Here we only need to see that, is as x increases also do f(x). Then the function will be increasing.

The cases for exponential functions is actually more trivial than that.

In the given options there is only one function with a base larger than 1, which is the last option:

[tex]f(x) = 5^x[/tex]

That is the correct option.

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Step-by-step explanation:

2600 = 2000•e^3k

e^3k = 2600/2000

e^3k = 13/10

3k = ln(13/10)

k ≈ 0.087

P = 2000•e^0.087•9

P = 4376

Answer:

See below

Step-by-step explanation:

This is a line and a parabola......where they intersect the two equations are      equal :

2x+7 = x^2 - 1

x^2 - 2x -8 = 0

(x-4)(x+2) = 0         shows the x-coordinate for intersections at x = 4 and -2

sub these x values into one of the equations to calculate the y coordinate

 y = 2(4) + 7 = 15      so one point is  4,15

y = 2(-2) + 7 = 3      the other point is then  -2, 3

An equation is formed when two equal expressions. There are 21 $20 bills and 24 $5 bills.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of $5 bills be x, while the number of $20 bills be y.

Given there were 3 more $5 bills than $20 bills. Therefore, this can be represented as

x = y + 3

Also, The total worth of the dominations is $540. Therefore, we can write,

5x + 20y = 540

Substitute the value of x form the first equation,

5x + 20y = 540

5(y+3) + 20y = 540

5y + 15 + 20y = 540

25y = 525

y = 21

Substitute the value of y in the first equation,

x = 21 + 3

x = 24

Hence, there are 21 $20 bills, and 24 $5 bills.

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Answer:

An expression for the temperature on February 10  =  -15F +42F = 27F

Step-by-step explanation:

the problem given is based on the algebra of simple addition : -

Addition of Algebraic Expressions : -

In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.

Two ways to solve addition of algebraic expressions.

Horizontal Method: In this method, all expressions are written in a horizontal line and then the terms are arranged to collect all the groups of like terms and then added.

Column Method: In this method each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column wise.

so the question can be solved using Horizontal method :-

temperature on 9 Feb = -15F

temperature rose on 10th Feb = 42F

so the temperature on 10th Feb is :

-15F +42F = 27F

therefore, an expression for the temperature on February 10 is

-15F +42F = 27F (answer)

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Finding the proportionality constant :

Finding y when x = 17 :

The value of y is 8/17 when x = 17.

Answer:

A. Corresponding Angles

Step-by-step explanation:

1. ∠4 and ∠6 = 180°

2. ∠3 and ∠5 = 180°

3. So, ∠5 and ∠6 are the same angles.

Answer:

[tex]\huge\boxed{\sf Option \ D}[/tex]

Step-by-step explanation:

[tex]\displaystyle =\frac{36}{25} \\\\[/tex]

36 and 25 have no common factor as:

and

So, No factor can be cancelled out and thus, the expression can not be simplified further. So, It will remain the same.

[tex]\rule[225]{225}{2}[/tex]

Answer:

d

Step-by-step explanation:

i did it

Answer:

Option d

Step-by-step explanation:

BC = YZ

AC cannot be equal to XZ else it will be SAA congruency

The standard equation is:  y = (-2)x² + 8x + 5

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0, with a ≠ 0 .

We know,

y = ax² + bx + c

For (-1, -5)

-5 = a - b + c..................(1)

For (0, 5)

5 = c

For (1, 11)

11 = a + b + c.....................(2)

From (1) and (2), we get

a=-2

and b= 8

Hence, the standard equation is:

y = (-2)x² + 8x + 5

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