A movie theater designs a bag of popcorn to hold 96 cubic inches of popcorn. Each bag is shaped as a rectangular prism. The base of the bag is 3 inches by 4 inches. What is the height of the bag?

Answer:

Step-by-step explanation:

I'll give you a guide — use the formula

[tex]y = mx + b[/tex]

For Question 1, [tex]y = \frac{2}{3}x + 2[/tex]

[tex]y = mx + b[/tex]

So,  m = [tex]\frac{2}{3}[/tex]  and  b = 2

For question 3,

[tex]y = mx + b[/tex]

if  m = [tex]\frac{1}{3}[/tex]  and  b = 3

[tex]y = \frac{1}{3}x + 3[/tex]

For the graphs, You label the center as 0, and go up/down 1 right to left and up down

You use every number on the x-axis (horizontal left-right line) and put it in your equation (e.g. [tex]y = \frac{2}{3}x + 2[/tex]) to get the value for the y-axis.

Answer:

60,60,60

Step-by-step explanation:

The angle measures for the triangle is 60, 60 and 60.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

We have,

The measure of three sides are 6 ,6 and 6.

Now, we know a triangle whose three sides are equal is called as Equilateral Triangle.

Also, three angles are Equal.

Using Angle Sum property

x + x + x = 180

3x= 180

x= 60

Thus, the measure of three angles are 60, 60 and 60.

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Answer:

30 Minutes is the answer

Step-by-step explanation:

Since 360 degrees =60

Then 180 degrees =30

[tex]2\sin^2 x =\sin x \\\\\implies 2 \sin^2 x - \sin x=0\\\\\implies \sin x(2 \sin x -1) =0\\\\\implies \sin x = 0~~\text{or}~~ 2 \sin x -1 =0\\\\\implies \sin x = 0~~ \text{or}~ ~ \sin x = \dfrac 12\\\\\text{For}~~ \sin x = 0\\\\x=n\pi \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=0, \pi\\\\\text{For}~~ \sin x = \dfrac 12\\\\x=n\pi+(-1)^n \dfrac{\pi}6 \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=\dfrac{\pi}6,~ \dfrac{5\pi}6\\\\\text{Hence,}~ x = 0,~\pi,~ \dfrac{\pi}6, ~\dfrac{5 \pi}6[/tex]

Answer:

[tex]x=0, \dfrac{\pi}{6},\dfrac{5\pi}{6},\pi \:\sf(for\:the\:given\:interval)[/tex]

Step-by-step explanation:

given interval [0, 2π) = 0 ≤ x < 2π

[tex]2\sin^2(x)=\sin(x)[/tex]

subtract sin(x) from both sides:

[tex]\implies 2\sin^2(x)-\sin(x)=0[/tex]

factor:

[tex]\implies \sin(x)[2\sin(x)-1]=0[/tex]

[tex]\sin(x)=0[/tex]

[tex]\implies x=0 \pm2 \pi n, \pi \pm2 \pi n[/tex]

[tex]\implies x=0, \pi \:\sf(for\:the\:given\:interval)[/tex]

[tex]2\sin(x)-1=0[/tex]

[tex]\implies \sin(x)=\dfrac12[/tex]

[tex]\implies x=\dfrac{\pi}{6} \pm2 \pi n, \dfrac{5\pi}{6} \pm2 \pi n[/tex]

[tex]\implies x=\dfrac{\pi}{6},\dfrac{5\pi}{6}\:\sf(for\:the\:given\:interval)[/tex]

Final solution:

[tex]x=0, \dfrac{\pi}{6},\dfrac{5\pi}{6},\pi \:\sf(for\:the\:given\:interval)[/tex]

1. 1 hour = 60 minutes

We convert 3 hours and 25 minutes to minute : 3 x 60 + 25 = 205 (minutes). Since 205 < 230, it took longer to get home than getting to the beach.

2. (Same convertion)

5 hours and 10 minutes = 5 x 60 + 10 = 310 (minutes)

So, the last day rained longer than the day before it.

3. 1 day = 24 hours.

We convert 3 days to hours : 3 x 24 = 72 (hours)

Since 72 > 68, Wendy's family lost their power longer than their neighbors.

4. 1 minute = 60 seconds

Convert 2 minutes and 2 seconds to seconds : 2 x 60 + 2 = 122 (seconds)

Since 122 > 121, it means Paul took longer to finish his race, which mean Jeff finished first (Rip Paul)

5.

Question : Bob bought 2 pizzas for him and his friend, Kevin. They both ate 1 pizza. Bob finished his pizza in 6 minutes and 45 seconds. Kevin finished his pizza in 400 seconds. Who finished first?

Solution : Convert 6 minutes and 45 seconds to seconds : 6 x 60 + 45 = 405 (seconds)

Since 405 > 400, Bob took longer to finish his pizza -> Kevin finished first.

Answer: B

Step-by-step explanation:

In order to isolate 'x', we can use the number 'e' to cancel the natural log. The 'e' will cancel the natural log because they are inverse to each other:

[tex]e^l^n^(^x^)=e^-^3[/tex]

[tex]x=e^-^3=\frac{1}{e^3} =0.049787[/tex]

Answer:

$62.50

Step-by-step explanation:

Answer:

hombre by. h God j inc. hchhhi

Answer:

solve with v=l*b*h

Step-by-step explanation:

cut in into two piece and solve

Answer:

-5/2

Step-by-step explanation:

x= -b/2a

x= -6/4= -3/2

y=2×(9/4)+6(-3/2)+2= -5/2

Answer:

If the candy was in whole of in peices

Step-by-step explanation:

A dependant variable is something you do to change a result, so breaking tha candy would be the dependant variable because they werre trying to see if breaking the candy would lead to diffrent results.

Just so you remember for next time:

an Indipendent variable is something that is constant that we can not change

and a dependent variable is something that we change to get a diffrent response.

Answer:

the answer is 2

Step-by-step explanation:

Answer:

  ? = 1000

Step-by-step explanation:

Zarea is making use of the fact that the cube root of a product is the product of the cube roots. She is factoring out the largest perfect cube in the number 6000.

  [tex]\displaystyle \sqrt[3]{6000}=\sqrt[3]{1000\cdot6}=\sqrt[3]{\boxed{1000}}\cdot\sqrt[3]{6}=10\sqrt[3]{6}[/tex]

The missing value in Zarea's work is 1000.

Answer:

6in³

Step-by-step explanation:

get the volume by the formula: L x W x H

L = Length

W = Width

H = Height

there are 3 units required to know for getting the volume, if that's true, then, do the inverse operation of finding the volume. That can be done by using the formula:

a= edge

Solving for a

a=V⅓=216⅓=6

So each of the Cube shaped Fish Tank is 6in³

to find out if  the answer is right or wrong we have to do

6x6=36

36x6=216

So the answer is right!

Answer:

19,19

Step-by-step explanation:

It will be a square

76 / 4 = 19 m sides

Answer:

eat them

Step-by-step explanation:

Answer:

$ 54 331.11

Step-by-step explanation:

21  years semi-annually is 42 periods

interest rate per period = 10% /2 = .10 /2 = .05

7000 (1 + .05)^42 =

Answer:

Step-by-step explanation:

You have:

[tex](x+5)^2+(y-1)^2=16[/tex]

[tex](x+5)^2+(y-1)^2=4^2[/tex]

To find the center of the circle, you want to find the 'x' and 'y' values which make their respective term equal zero:

[tex](x+5)^2=0[/tex]

[tex](y-1)^2=0[/tex]

[tex]x=-5[/tex]

[tex]y=1[/tex]

The radius of the circle would be 4 due to the right side of the circle equation. Our circle is centered at (-5, 1) and has a radius of 4 units.

The area of the rectangle is the product of its base and height

The height of the rectangle is 4x - 2 units

The given parameters are:

Area = 4x^2 - 2x

Base = x

The area of the rectangle is:

Area = Base * Height

This gives

4x^2 - 2x = x * Height

Divide through by x

4x - 2 = Height

Rewrite as:

Height = 4x - 2

Hence, the height of the rectangle is 4x - 2 units

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Answer:

could you show the triangle?

Hello Brainly user,

A. Multiply by 2 three times if you want to multiply by 8.

Proof:

For example, if you want to multiply 2 by 8 --> 2x8  then you can just do 2x2 = 4  4x2 = 8  8x2 = 16.

TO CHECK:

You can do 8x2 = 16.

Hence, this answer is 100% correct.

Answer:

6x-3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The table shows the ratio 1:7 pretty well

Answer:

Just find the 91% of 103

103 * 91% = 103 * 0.91 = 93.73

About 94 are present from the 103 people

Step-by-step explanation:

hope this helps

pls mark brainliest

Answer:

5)9):3=12

Step-by-step explanation:

yan na yung sagot sana makatulong

Answer:

1-100 pages are in the favorite books of my age