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Each cube inside the rectangular prism has an edge length of inch. What is the volume of
the rectangular prism?
256 in.
81 in
3 in
9 in.

Answer:

0.125 cubic feet

Step-by-step explanation:

Since the container has a shape of a cube with a measure of its side 0.5 ft, then;

Volume of the container, V = \(s^{2}\)

where s is the measure of its side.

s = 0.5 ft, then;

V = \((0.5)^{3}\)

    = 0.125

V = 0.125 cubic feet

The cubic feet of slime that would fit in the container is 0.125.

Step-by-step explanation:

Step:1

          From given, the rate is

                          = 15 miles per gallon

                          = \frac{15}{1}115 = 15 miles.........................(1)

Step:2

         Check for Option A,

                           = 30 miles per 3 gallons

                           = \frac{30}{3}330 = 10 miles.....................(2)

         From the eqn (1) and (2),

                                 Eqn (1) ≠ Eqn (2)

Step:3

           Check for Option B and C are not match with given because, Miles provided first or top then the gallons provided the last or bottom.

Step:4

         Check for Option  D,

                           = 60 miles per 4 gallons

                           = \frac{60}{4}460 = 15 miles.........................(3)

           From the eqn (1) and (3),

                              Eqn (1) ≠ Eqn (3)

Result:

         The equivalent unit rate for 15 miles per gallon is 60 miles per 4 gallons (\frac{60 miles}{4 gallons}4gallons60miles ) .

Answer:

Step-by-step explanation:

Answer:

7.22?

Step-by-step explanation:

Answer: So if you do 50 dollars - 70% you get, 15 U.S. dollars

Hope this helps :)

Let's begin by listing out the information given to us:

To solve this 3 variable equation, let's eliminate one of the variables

add equation 1 & 3, we have:

Substitute z into equation 1, 2 & 3

Solve as a simultaneous equation, we have:

Substitute y = -4 into x + 6y = -23, we have:

Substitute y = -4 into z = 5y + 24, we have:

Answer:

It would equal -3

Step-by-step explanation:

you are trying to find how to get a positive 21 so you would have to divide 21 by -7

21 ÷ -7 = -3

to make sure it's correct muiltply it

-7 × -3 = 21

So therefore n = -3

Answer:

The answers are A B and C

they could be whole numbers

Step-by-step explanation:

need brainliest

Answer:

5

Step-by-step explanation:

Fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of first prism with sides 2, 1.5 and 3.2

Volume=2×1.5×3.2

=9.6 in³

The volume of second prism with sides 1.5, 1.5 and 6

Volume=1.5×1.5×6

=13.5 in³

The volume of third prism with sides 2, 5/2 and 7/2

Volume=2×2.5×3.5

=17.5 in³

The volume of fourth prism with sides 1/2, 1/2 and 1/2

Volume=0.5×0.5×0.5

=0.125 in³

Hence fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.

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The percentage of NFL players retire at a younger age is A ) 0.62 % and the age is C ) 34.8 years .

Given :

The retirement age for NFL players follows a normal distribution with a mean of 33 years and a standard deviation of 2 years. A player gets injured and decided to retire at 28 years old.

percentage of NFL players retire at a younger age is :

P ( X < 28 ) = P ( x - μ / σ < 28 - 33 / 2 )

= P ( z < -5 / 2 )

= P ( z < -2.5 )

we know that at z score using calculator we can know the probability :

= 0.0062

= 0.0062 * 100%

= 0.62%

The age would he be if he played longer than 90% of all players is B ) 34.8 years old .

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The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

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Answer: 14 bottles

Step-by-step explanation:

To find out how many bottles Miko can fill with 3.5 liters of water, you can divide the total volume of water by the volume of each bottle:

number of bottles = total volume of water / volume of each bottle

Plugging in the given values, you get:

number of bottles = 3.5 L / 0.25 L

Performing the calculation gives you:

number of bottles = 14

So Miko can fill 14 bottles with 3.5 liters of water if each bottle holds 0.25 liters of water.

I hope this helps! Do you have any other questions?

Option A

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if any doubt leave a comment

Answer:

A equilateral

Step-by-step explanation:

hey, its equilateral because all sides of the triangle are the same length

Answer:

18

correct me if I'm wrong❌

The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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5.04 × 10³

This is the scientific notation.

Answer:

5.04*10³

Step-by-step explanation:

5.04*10³

For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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Answer:

Add 4    linear

Multiply by 3/2   exponential

Multiply by 1/2     exponential

Add -10        linear

Step-by-step explanation:

Look at what you need to do to the y value to get the next y value.  Linear is when you add  and exponential is when you multiply.

Answer:

Option D. is the correct option

Step-by-step explanation:

The graph of g(x) is the translation of y = ∛x, which passes through origin (0, 0).

The graph in the figure is showing a shift of 1.5 units downwards.

Therefore, the new translated function g(x) will be represented by

g(x) = ∛x - 1.5

This graph can create a confusion of being shifted on x-axis but when we plug in the values of x in the options A and B, parent graph gets changed.

Therefore, option D. is the answer

The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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Answer:

obtuse it is more than 90 so not a right and a straight angles is 180 degrees so it obtuse

We have the formula for the area of the triangle as:

If h and b are functions of x, we can replace them in the area function and have the area in function of x:

Answer: A = 9*x^4 + (15/2)*x^3

The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (41 + 46)/2 = 43.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (32 + 32)/2 = 32

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (50 + 51)/2 = 50.5

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 29

Lower quartile (Q1): 32

Median (Q2): 43.5

Upper quartile (Q3): 50.5

Maximum: 53

Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5

the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

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Answer:

Value of x = 7° & y = 45°

Step-by-step explanation:

According to the question m || n.

For x:

\( \rm \implies (7x + 13) \degree = (6x + 20) \degree \\ \\ \rm \implies 7x - 6x = 20 \degree - 13\degree \\ \\ \rm \implies x = 7 \degree\)

For y:

\( \rm \implies (3y - 17)\degree + (6x + 20) \degree = 180\degree \\ \\ \rm \implies (3y - 17)\degree + (6 \times 7 + 20)\degree = 180\degree \\ \\ \rm \implies (3y - 17)\degree + (42 + 20)\degree = 180\degree \\ \\ \rm \implies 3y - 17\degree + 62\degree = 180\degree \\ \\ \rm \implies 3y + 45\degree = 180\degree \\ \\ \rm \implies 3y = 180\degree - 45\degree \\ \\ \rm \implies 3y = 145\degree\\ \\ \rm \implies y = \bigg( \frac{145}{3} \bigg) ^\degree \\ \\ \rm \implies y = 45\degree\)

Answer:

C

Step-by-step explanation: