There were 215 students who attended the school play. If there are a total of 250 students in the school, what percent of the students attended the play?

Answer:

Surface area of a cube = 384 mm²

Step-by-step explanation:

Surface area of a cube = 6 s²

Where

s = side length of the cube

s = 8 mm

Surface area of a cube = 6 s²

= 6 * 8²

= 6 * 64

= 384 mm²

Surface area of a cube = 384 mm²

Answer:

The answer is "C" 384 mm²

Step-by-step explanation:

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Answer:

term

Step-by-step explanation:

Answer:

p=117.25

Step-by-step explanation:

441/4=110.25

110.25+7=117.25

103.25

Step-by-step explanation:

rewrite

4p - 28 = 441

-28. -28

----- -----

0. 413

413÷4= 103.25

Answer:

[tex] \frac{287}{50000} [/tex]

Step-by-step explanation:

hope it helps you.

Answer:

The area decreases.

Answer:

The area decreases.

Step-by-step explanation:

If we decrease both dimension on a figure, the figure is smaller.

The answer is the first answer is the first option.

[tex]x = - 2[/tex]

Answer:

y=-3

Step-by-step explanation:

I hope this works

Answer:wow

Step-by-step explanation:sad

Answer:

15 m5

Step-by-step explanation:

Answer: 15m^5

ty!! Np!

Have a good day!! You too

Step-by-step explanation:

A camera is positioned 5000 ft from the base of a rocket launching pad. the angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. let's assume the rocket rises vertically and its speed is 800 ft/s when it has risen2548 ft. (round your answers to three decimal places.)

Answer: B

Step-by-step explanation:

We are given an angle and a distance, and to solve for the height we need to make a triangle.

First, I'm going to assign sides to the triangle:

Side a: This is going to be the distance from the camera to the launch pad.

Side b: This is going to be the distance from the launch pad to the rocket (the rocket's height)

Side c: This is going to be the distance from the rocket to the camera (this is the hypotenuse of the triangle)

Now that we have sides, we can solve for the height. The height is the distance from the launch pad to the rocket, so it will be side b. We know that the camera is 5000 ft away from the launch pad, so we can say that side a is 5000 ft. It also tells us the camera is angled up at 27 degrees, so we can say angle B is 27 degrees.

We have a known side that length that is adjacent to a known angle inside of a right triangle, and we want to find the length of the opposite side. In this situation we can use the function tangent.

tan(theta) = opposite / adjacent

If we plug values into this equation we get:

tan(B) = b / a

tan(27 degrees) = b / 5000

b = tan(27 degrees) * 5000

b = 2547.627

b rounded to the nearest foot is 2548 ft, which is answer B

Step-by-step explanation:

First, I decided to determine the vertical asymptote! You can determine the vertical asymptote by taking the denominator and setting it equal to zero.

−4x+4=0

−4x=−4

x=1

There's a vertical asymptote at x=1.

Now for the horizontal asymptote! The horizontal asymptote is determined by looking at the leading coefficients in the numerator and denominator. Here's a helpful visual.

content://com.cryptotab.android.FileProvider/images/screenshot/16159519510813476709092178134526.jp

In our case, the leading coefficient in the numerator (x2) is larger than the leading coefficient in the denominator (−4x). This means there is no horizontal asymptote!

In some cases, a slant asymptote may be present in a graph. These are sometimes present in graphs that have a stronger leading coefficient in the numerator than the denominator. To determine the slant asymptote, we need to divide the numerator by the denominator.

content://com.cryptotab.android.FileProvider/images/screenshot/16159520052041557972364765603410

The slant asymptote is y=−x4−1

Holes are determined by finding numbers that when plugged into x, return undefined. On a graphing calculator these values will give us an error. Luckily for us, there are no holes, so we can move on.

X-intercepts are values that make the numerator equal zero. We can find these by setting the numerator equal to zero and solving.

x2+3x=0

x(x+3)=0

x+3=0

x=−3

Another number that makes the numerator equal zero is, well, zero!

x2+3x=0

(0)2+3(0)=0

0=0

So we know our x-intercepts are 0 and -3.

To find the y-intercepts, set x equal to zero and solve the equation!

y=x2+3x−4x+4

y=(0)2+3(0)−4(0)+4

y=04

y=0

So we have a y-intercept at y=0!

Answer:

Option (2)

Step-by-step explanation:

If a polygon is dilated by a scale factor = k

Rule to be followed,

(x, y) → (kx, ky)

Here, k = Scale factor

If 0 < k < 1, size of the image will be reduced.

If k > 1, size of the image will be enlarged.

Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.

Rule used for the transformation,

(x, y) → [tex](\frac{1}{4}x,\frac{1}{4}y)[/tex]

Here, scale factor by which MNPQR has been dilated is [tex]\frac{1}{4}[/tex]

Since, scale factor is between 0 and [tex]\frac{1}{4}[/tex], size of M'N'P'Q'R' will be reduced.

Therefore, size of pentagon M'N'P'Q'R' will be  smaller than pentagon MNPQR.

Option (2) will be the answer.

Answer:

the answer is C-supplementary.

Step-by-step explanation:

Hope This Helps!!

Answer:

20 weeks

Step-by-step explanation:

The calculation of The number of weeks it will take to save £360 is given below:

Now  $250 should be divided into a ratio of 3:2

He keeps = 150

And, he gives her = 100

As he saves 12% of his share

i.e.

= 12% of 150

= 18

Now the number of weeks is

= 360 ÷ 18

= 20 weeks

Answer:

(10/2)×3 = Ceiling height of living room

Step-by-step explanation: it is 15 feet tall in the living room ._.

Answer:

choice 1) x = 2

Step-by-step explanation:

7x-6 = 12-2x    because point B is in the middle of AC

reduce:

add 2x to each side:

9x-6 = 12

add 6 to each side:

9x = 18

divide both sides by 9:

x = 2

Answer:

angular velocity = 12π Radians per second

Step-by-step explanation:

The angular velocity is a measure of the rotation/revolution speed of an object, relative to another point.

In order to present the answer in radians per second, let us first establish the relationship between radians and rotations/revolution.

one complete revolution = 360° = 2π Radians

∴ 1 roration = 2π Radians

12 rotations = 12 × 2π Radians = 24π Radians

Angular velocity in radians = 24π Radians in 2 seconds

Now let us convert to radians per seconds.

24π Radians = 2 seconds

2 seconds = 24π Radians

∴ 1 second = (24π Radians) ÷ 2

1 second = 12π Radians

∴ angular velocity = 12π Radians per second

Answer:

Where is the questions?

Step-by-step explanation:

Me + The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three students share a ride, on average, you will create the app.

You conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. The following data are collected:

6 5 5 5 3 2 3 6 2 2

5 4 3 3 4 2 5 3 4 5

You and your partner will construct a 90% confidence interval and 95% confidence interval for the mean number of students who share a ride to school, then you will compare and interpret the results.

Part A: Decide which partner will construct each confidence interval, and then state the parameter and check the conditions.

Part B: Construct the confidence interval. Be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process.

Part C: Interpret the meaning of the confidence interval, and describe the difference in the width of the interval and the margin of error.

Part D: Use your findings to explain whether you should develop the ride-share app for the football game. = My brain hurts!!!

The vertical asymptotes are x= 0 and x = -1 option (D) and option (F) are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

F(x) = (x-5)/3x(x+ 1)

To find the vertical asymptotes:

3x = 0

or

x = 0

x + 1 = 0

or

x = -1

Thus, the vertical asymptotes are x= 0 and x = -1 option (D) and option (F) are correct.

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Answer:

3:4:7

Step-by-step explanation:

2/7 is apple juice

1/2 is orange juice

2/7 + 1/2=4/14+7/14=11/14

14/14 - 11/14=3/14

3/14 is cranberry juice

4/14 is apple juice

7/14 is orange juice

the ratio is 3/14 to 4/14 to 7/14

the ratio simplified is 3:4:7

for y=2x the x intercept is 0 and the y intercept is 0. for 7y=6x-20 the x intercept is 3.1 and the y intercept is 3

Mean of the data is 62.12, median is 60, mode is 53, range is 32, Q3 is 69.

Mean is the sum of numbers divided by the numbers. It is also known as average.

Fow calculating mean we have to find sum of  numbers which is calculated in figure as 1553.

Mean=1553/25=62.12

Mode is basically the number having higher frequency which is 53.

Median is[ (n+1/2)th term,(n/2)th term]/2

=(60+60)/2

= 60.

Range is basically the difference of smallest number and largest number divided by 2=82-49=32

Q3=3(N+1)/2

=3(25+1)/2

=18.5th term which is 69.

Hence mean of the data is 62.12, median is 60, mode is 53, range is 32, Q3 is 69.

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Answer:  solving for x would be x ≤ 3

Step-by-step explanation:

Hope this helps! have a good day!

Answer:

Inequality form:

x≤3

Interval Notation:

(-∞,3]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

The correct solution is "x = -5 and x = -8".

Step-by-step explanation:

The given equation is:

⇒ [tex]x^2+13x+40=0[/tex]

On factorizing the above equation, we get

⇒ [tex]x^2+5x+8x+40=0[/tex]

On taking "x" common, we get

⇒ [tex]x(x+5)+8(x+5)=0[/tex]

⇒         [tex](x+5)(x+8)=0[/tex]

Now,

⇒                       [tex]x+5=0[/tex]

On subtracting "5" from both sides, we get

⇒                 [tex]x+5-5=0-5[/tex]  

⇒                             [tex]x=-5[/tex]

Or,

⇒                        [tex]x+8=0[/tex]

On subtracting "8" from both sides, we get

⇒                  [tex]x+8-8=0-8[/tex]

⇒                              [tex]x=-8[/tex]

Answer:

system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is   and    .

Step-by-step explanation:

Here we have , A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. We need to find Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y . Let's find out:

Let the price in dollars of each large candle, x, and each small candle, y .So

A customer at a store paid $64 for 3 large candles and 4 small candles

Equation is  :

⇒   .....(1)

At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

Equation is  :

⇒   .......(2)

3(2)-(1) i.e.

⇒

⇒

⇒

So ,  

⇒  

⇒  

Therefore , system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is  and    .

System of equations which can be used to find the price in dollars of each large candle x and each small candle y is;

3x + 4y = 64

x + 8y = 68

Here we have,

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. Price of each large candles are same and price of small candles are same for both customers.

What is system of equation?

A system of equations is a set of two or more equations with the same variables.

Now,

Let the price in dollar of each large candle = x

and, the price in dollar of each small candle = y

A customer at a store paid $64 for 3 large candles and 4 small candles.

So equation is;

⇒3 x + 4 y = 64 ----(i)

At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

So equation is;

⇒ x + 8y = 68 ------(ii)

3 (ii) - (i) ⇒

20 y = 140

    y = 7

And,  x = 12

Hence, System of equations which can be used to find the price in dollars of each large candle x and each small candle y is;

3x + 4y = 64

x + 8y = 68

And, price in dollars of each large candle is 12 and price in dollars of each small candles is 7.

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