A box in the shape of a rectangular prism measures 2 feet by x feet by 4 feet. Write a simplified expression for the volume (in cubic feet) of the box.

Question:

Use the expression to complete the statements.

[tex](0.5)^{10\\[/tex]

________ is the  power .

(0.5) is the  ________

A ______ is another way to write

Answer:

0.5 is the base

10 is the power

[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex] -- another way to write

Step-by-step explanation:

Given

[tex](0.5)^{10\\[/tex]

Required

Fill ion the gaps

[tex](0.5)^{10\\[/tex] is pronounced as; 0.5 raise to the power of 10

From the above statement, we can deduce the following:

0.5 is the base

10 is the power

Lastly, another way to write [tex](0.5)^{10\\[/tex]

Express 0.5 as a fraction

[tex](\frac{5}{10})^{10}[/tex]

Simplify the fraction

[tex](\frac{5/5}{10/5})^{10}[/tex]

[tex](\frac{1}{2})^{10}[/tex]

Hence:

[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex]

Answer:

3 1/2 puzzles

Step-by-step explanation:

I believe the answer is x=-2

Answer: -3

Step-by-step explanation: just multiply

The best estimate of the average rate of change for the function graphed over the interval 1 ≤ x ≤ 3 is 3.

Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.

The interval given is 1 ≤ x ≤ 3.

The graph of the function is given below.

It can be clearly seen that,

The y value corresponding to x = 1 is y = f(1) = 2.

So one point on the graph is (1, 2).

The y value corresponding to x = 3 is y = f(3) = 8.

So the other point on the graph is (3, 8).

Average rate of change over 1 ≤ x ≤ 3 = [f(3) - f(1)] / [3 - 1]

                                                               = [8 - 2] / [2]

                                                               = 6/2

                                                               = 3

Hence the best estimate for the average rate of change of function over the interval 1 ≤ x ≤ 3 is 3.

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Answer:

[tex]A.\ ~~x=16,~ y=9\sqrt{2}[/tex]

Step-by-step explanation:

We have completed the diagram with some lengths that come directly from the figure's symmetry.

Note the triangle formed at the left side of the trapezium is isosceles because it has an angle of 90° and another angle of 45°.

This means the base of the triangle has the same length as the height of 9.

This means the total base of the trapezium is x = 9 + 7 = 16

The right triangle must satisfy Pythagora's Theorem:

[tex]y^2=9^2+9^2[/tex]

[tex]y^2=2*9^2[/tex]

[tex]y=\sqrt{2*9^2}[/tex]

Simplifying the radical:

[tex]y=9\sqrt{2}[/tex]

The correct answer is: [tex]\mathbf{A.\ ~~x=16,~ y=9\sqrt{2}}[/tex]

The rate of change from 2015 to 2017 is -$250 per year.

Given that,

According to the scenario, computation of the given data are as follows,

Total change = $300 - $800

= -$500

Total years from 2015 to 2017 = 2 years

So rate of change = -$500 [tex]\div[/tex] 2

= - $250

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Answer:

3rd option

Step-by-step explanation:

The input(x) does not repeat

Answer:

2/3 card per hour

Step-by-step explanation:

The correct calculation is given below

The number of cards she can make per hour is :

12 hours = 8 cards

1 hour = x cards

Cross Multiply

12 hours × x cards = 8 cards × 1 hour

x cards = 8 cards × 1 hour/12 hours

x cards = 2/3 card

She can make 2/3 card per hour

Answer:

a

not C B D   A

Step-by-step explanation:

Answer:

A is correct

Step-by-step explanation:

Here, we want to write an inequality

If the water level drops by 14 feet

what this mean is that we are subtracting 14 from the original level L

Thus, we have

L-14

Higher than 20 means that we have;

L-14 > 20

L > 20 + 14

L > 34

Answer:

16 p plus 32 q equals 1280

16p + 32q = 1,280

Step-by-step explanation:

A pint = 16 ounces

A quart = 32 ounces

p = number of pints he canned

q = number of quarts he canned

if Chin canned a total of 1,280 ounces?

Total ounces canned = 1,280

Equation:

p × 16 ounces + q × 32 ounces = 1,280

16p + 32q = 1,280

The options:

1280 plus 16 p equals 32 q

1,280 + 16p = 32q

1280 plus 32 q equals 16 p

1,280 + 32q = 16p

32 q minus 16 p equals 1280

32q - 16p = 1,280

16 p plus 32 q equals 1280

16p + 32q = 1,280

The correct answer is

16 p plus 32 q equals 1280

16p + 32q = 1,280

Answer:

16p+32q=1280

Step-by-step explanation:

edge

Answer: 14/6

Step-by-step explanation:

A line passes through point A(14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

Answer:

x²y (10x²y + 4x - 3y)

Step-by-step explanation:

Factorise xy out first.

10[tex]x^{4}[/tex]y² + 4x³y - 3x²y² = xy (10x³y + 4x² - 3xy)

Then factorise another x out.  

xy (10x³y + 4x² - 3xy) = x²y (10x²y + 4x - 3y)

Step-by-step explanation:

Let's see

Firstly produce the line to Q such that it passes through and dives Q into two.

The interior angle of the Pentagon at the point Q=sum of its interior angle/5

The angle=540°/5=108°

That would make the exterior angle there=180°-108°=72°

Again,find the interior angle of the heptagon at the point Q=(sum of its interior angles)/7

Angle=900°/7=128.57°≈129°

That would make the exterior angle there=180°-129°=51°

Since Q was divided into the two exterior angles,we sum them up to obtain the angle value of Q

That is 51°+72°=123°

Answer:

D

Step-by-step explanation:

I'm pretty sure it's D

Answer:

yes

Step-by-step explanation:

because they are all faced up and not touching each other

Answer:

it s A

Step-by-step explanation:

if the two to the power of ten is on the outside, you will always need to add that to the other powers of ten

Brianliest plz thanks

Answer:

Y=(1/2)x + 3

Step-by-step explanation:

The equation of the line is y = (1/2)x + 3.

We have,

The equation of a line is written as:

y = mx + c

Where m is the slope and c is the y-intercept.

Now,

From the line,

We have the following coordinates:

(2, 4) and (4, 5)

Now,

Slope.

m = (5 - 4) / (4 - 2) = 1/2

And,

(2, 4) = (x, y)

Substituting.

y = mx + c

4 = (1/2) x 2 + c

4 = 1 + c

c = 4 - 1

c = 3

Now,

y = (1/2)x + 3

Thus,

The equation of the line is y = (1/2)x + 3.

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Answer:

D and A

Step-by-step explanation:

8. 1+8n^2-5n-7

8n^2-5n-6

9. -6-7

-13

Answer:

9 total cups. 3 cups of sugar. 3 cups of flour, 3 cups of milk

Step-by-step explanation:

9514 1404 393

Answer:

  [tex]f(x)=\left\{\begin{array}{rl}-x-1,&\text{for $-6\le x<2$}}\\-\dfrac{1}{2}x-4,&\text{for $2<x<6$}\end{array}\right.[/tex]

Step-by-step explanation:

The upper piece of the graph is defined on the interval -6 ≤ x < 2. It has a slope of -1 and a y-intercept of -1, so its equation is y = -x-1.

The lower piece of the graph is defined on the interval 2 < x < 6. It has a slope of -1/2 and would cross the y-axis at -4 if it were extended. Its equation is ...

  y = -1/2x -4

The two pieces together give the function ...

  [tex]f(x)=\left\{\begin{array}{rl}-x-1,&\text{for $-6\le x<2$}}\\-\dfrac{1}{2}x-4,&\text{for $2<x<6$}\end{array}\right.[/tex]

Answer:

6 is ur answer hope it help u

lol :)

☃️✌

Merry christmas~

Answer:

1:101

2:15

3:11

4:56

Source:trust me bro

Answer:

x = -4037/127

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

14x + 18 + x = -112(x + 36) + 13

Step 2: Solve for x

Answer:

The correct answer is a.) x=-6

Step-by-step explanation:

Answer:

840

Step-by-step explanation:

2% of 700 is 14. Multiply 14 by 10 years, and then add that result (140) to the original amount

Answer:

I can find all the x-values in the domain of the function f(x)=4:

Domain = (−∞, ∞), {x | x∈R}

Here’s the range if you need it:

Range: {4}

Hope this helps! :)

The answer is Range: {4} or,  x is a member of the real numbers and that it can be anything from negative infinity to positive infinity.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

Here, we have,

f (x) =4

now,

we can find all the x-values in the domain of the function f(x)=4:

Domain = (−∞, ∞), {x | x∈R}

Here’s the range if you need it:

Range: {4}

There are x’s in the equation.

It’s actually all numbers are x’s because anything you put into the function f(x)=4, y will always equal 4.

So the value of x in f(x)=4 is all numbers.

To be more specific, all real numbers.

That’s why I put (−∞, ∞), {x | x∈R} because x is a member of the real numbers and that it can be anything from negative infinity to positive infinity.

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Answer:

Part 4

4 | a. When Peter wrote: I = 275(.8)(12), he wrote the rate of 8% as 0.80 instead of 0.08.

4 | b. The correct interest is $264.

Part 5

5 | a. Isabella multiplied 3000*0.04*6 incorrectly, she probably forgot that she multiplied 3000 into the expression.

5 | b. The correct interest is $720.