Billy fills a crate with equal-sized cubes. The volume of each cube is exactly 1 cubic foot. He can fit 7 cubes across the length of the box and 5 cubes along its width. The box can fit 3 layers of cubes. What’s the volume of Billy’s crate?

Answer: 105 cubic feet

Answer:

Option C, 1/35

Step-by-step explanation:

Given

Proportion of town that has blue eyes = 1/5 = 0.2

Proportion of town that has brown eyes = 1/7

The probability of choosing either a blue eye or a brown eye person is

Probability of blue eye individual * Probability of brown eye individual

= 1/5 * 1/7 = 1/35

Hence, option C is correct

Answer:

Domain = All real numbers

Range = x < 6

Hope this helps!

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

x = -2, x = 4

Step-by-step explanation:

(-3x-6)(-3x+12)

foil method:

9x² - 18x - 72

9(x² - 2x - 8) = 0

(x+2)(x-4) = 0

x = -2 and x = 4

B, it's the most logical; 6% as a decimal is (.06 and that's what B has)

Answer:

C

Step-by-step explanation:

If the population of wolves is increasing, then the function will represent exponential growth. So the number inside the parentheses must be greater than 1. That narrows it down to the last 2. But it's exponential growth, so it includes an exponent. D doesn't have an exponent, so you're left with C :)

Answer:

Hence 173.75 pounds of raw potatoes are needed for 500 servings.

Step-by-step explanation:

The edible yield is 72 % means  4 oz in one serving is 72 %

Using ratios to solve

Oz           %

4             72

x             100

Using the cross product rule

x= 400/72= 5.56 oz

1 serving has 5.56 oz of raw potatoes

500 serving must have 5.56 *500= 2780 oz of raw potatoes

but 1 0z = 0.0625 pounds

As we need to calculate the pounds we will multiply it with 0.0625

Therefore

2780*0.0625= 173.75 pounds

Hence 173.75 pounds of raw potatoes are needed for 500 servings.

Answer:

I got for the retail price $367. 50 and for the retail plus tax I got $396.90.

Step-by-step explanation:

To find the retail you have to figure out what 210% of 175 is. To do this you divide 175 by 100. after yiu get that number you multiply it by 210. after you multiply it you should get 367.50 . then to find the retail value plus tax you divide 367.50 by 100 and get 3.675. multiply 3.675 by 8 and then you get 29.40 . add 367.50 and 29.40 and you get $396.90

Answer:

BBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

2,880÷8=360÷40=9

Answer:

answer: 75

Hope that helps you!

Answer:

y = -2x - 3

Step-by-step explanation:

Answer:

y=(10×10)÷(1-2) =N

Step-by-step explanation:

y -is the numerical angle of triangle

10×10because the triangle have a ten angle

1-2 cause the line of triangle

Answer(s):

[tex]\displaystyle y = 4cos\:(2x - \frac{\pi}{2}) - 1 \\ y = 4sin\:2x - 1[/tex]

Explanation:

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4cos\:2x - 1,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex] to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex] which means the C-term will be positive, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex] So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(2x - \frac{\pi}{2}) - 1.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-\frac{\pi}{4}, -5],[/tex] from there to [tex]\displaystyle [\frac{3}{4}\pi, -5],[/tex] they are obviously [tex]\displaystyle \pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

hi

Step-by-step explanation:

Answer: 82.8

Step-by-step explanation:

Answer:

4 home runs

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

The general equation for a circle is

[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]

where (h, k) is the coordinates of the center of the circle and r is the radius. Since the circle passes through (4, 4) and (-4, -4), its center is located at the origin, which means its equation becomes

[tex] {x}^{2} + {y}^{2} = {( \sqrt{ {4}^{2} + {4}^{2} } )}^{2} = 32[/tex]

Answer:

The other point is (-8, 2)

Step-by-step explanation:

A general quadratic equation is something like:

f(x) = a*x^2 + b*x + c

Where a, b, and c are real numbers.

If the function has an axis of symmetry at x₀, this means that:

f(x₀ + x) = f(x₀ - x)

for all values of x.

In this case we have:

x₀ = -1

Then:

f(-1 + x) = f(-1 - x)

Now we know that the point (6, 2) is a solution of the quadratic equation

This means that f(6) = 2

If we write 6 = -1 + x

We can solve this for x to get:

6 = -1 + x

6 + 1 = x = 7

Then we will have:

2 = f(6) = f(-1 + 7) = f(-1 - 7) = f(-8)

Then:

f(-8) = 2

sThis means that the other point on the quadratic eqation is (-8, 2)

Answer:

Step-by-step explanation:

The y-intercept of both functions f(x) = -2x² + 3x + 1 and g(x) = x + 1 are the same, that is (0, 1).

The complete question is given below.

At what point(s) do the following functions y-intercept?

f(x) = -2x² + 3x + 1

g(x) = x + 1

The y-intercept mean the intersection of the function with y-axis. At y-intercept, the value of the x will be zero.

The functions are given below.

f(x) = -2x² + 3x + 1

g(x) = x + 1

For the function f(x) will be

f(0) = -2(0)² + 3(0) + 1

f(0) = 1

For the function g(x) will be

g(x) = 0 + 1

g(x) = 1

Then the y-intercept of both functions are the same, that is (0, 1).

More about the y-intercept link is given below.

https://brainly.com/question/14180189

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Well, split it into 3 shapes

21 x 10 = 210

3 x 6 = 18

2 x 6 = 12

210 + 18 + 12 = 240 square cm

imahe for more context

plzzz give me brainliest

Answer:67.6

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

The values 15ft, 13ft and x are the sides of a right triangle;

According to pythagoras theorem;

15² = 13²+x²

x² = 15² - 13²

x² = 225 -169

x² = 56

x = √56

x = 7.48

Hence the value of x to the nearest tenth is 7.5 to the nearest tenth

Answer:

four nine dollar books

Step-by-step explanation:

36 divivded by 9

Answer:

6 times

Step-by-step explanation:

The theoretical probability of scoring 10 points upon pressing a button = 3 / 5

The expected number of times 10 points is scored if button is pressed 10 times :

This will be ;

(Number of times button is pressed * theoretical probability of scoring 10 when button is pressed)

(10 * 3 / 5)

= 30 / 5

= 6 times

Answer:

5/8 is the probability.

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

Answer:

p = 43

Step-by-step explanation:

Here, we have it that;

(x^22) * (x^7)^3 = x^p

From law of indices

(y^a)^b = y^ab

and also;

y^a * y^b = y^(a + b)

applying these, we have it that;

(x^7)^3 = x^(7* 3) = x^21

Thus, we have it that;

x^22 * x^21 = x^(22 + 21) = x^43

So we have it that the value of p is 43

Answer: [tex]54\ ft^3[/tex]

Step-by-step explanation:

Given

The base side of the box is 3 ft long

The height of the box is 6 ft

For the square base, length and width is the same

Volume of rectangular prism is  [tex]V=l\times w\times h[/tex]

Putting the values

[tex]\Rightarrow V=3\times 3\times 6\\\Rightarrow V=54\ ft^3[/tex]

The volume of the box is [tex]54\ ft^3[/tex]

Answer: 36.576

Step-by-step explanation: The question is asking you to convert 120ft to meters

So if 94ft= 28.65 meters, then 120ft= 36.576 Meters

The length of a tennis court will be;

⇒ 36.57 meters

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The length of a basketball court = 94 feet

Which is approximately = 28.65 meters

Now,

Since, The length of a basketball court = 94 feet

Which is approximately = 28.65 meters

And, The length of a tennis court = 120 feet

So, The length of a tennis court in meters = x

⇒ x = 28.65 × 120 / 94

⇒ x = 36.57 meters

Thus, The length of a tennis court in meters = 36.57 meters

Learn more about the multiplication visit:

https://brainly.com/question/28768606

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Answer:

y = -1/2x + 8

Step-by-step explanation:

y = -1/2x + b

6 = -1/2(4) + b

6 = -2 + b

8 = b

Answer:

B

Step-by-step explanation:

I hope this helped!

Answer:   1132.616

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