What’s the difference in these two questions and why did we divide in one and multiple in one ( also why did we divide by8 in question 2)

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The power function of the energy is e=mc².

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The power function is a polynomial. Given the energy, e, produced in a nuclear reaction is proportional to the mass, m. Therefore, we can write,

e ∝ m

To remove proportionality we need to add a constant of variation which is c², the square of the speed of light

e = m c²

Hence, the power function of the energy is e=mc².

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Answer:

C. 1

Step-by-step explanation:

this is how you solve it

Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly , Option B is the correct answer.

When a quantity of one variable is increased and the value of the other also increases then they are said to be in direct variation.

For the data to be in direct variation

Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly.

The points in any linear equation can only fluctuate directly, therefore all points will lie on the same line.

Option B is the correct answer.

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Answer:

ez b

Step-by-step explanation:

Answer:

I think you may have made a typo, as it is extremely unlikely that a trashcan is 314 feet tall.  I will assume that you meant 3.14 feet.

Step-by-step explanation:

We already have the base, so we can already cut out one step.  If we were not given the base, however, we would simply multiply the length by the width of the prism.  Next we multiply the base by the height (3 X 3.14) to get the volume of the prism, 9.42 cubic feet.  In the case that there was no typo, and 314 was the correct height, the volume would be 942 cubic feet.

Volume

But unfortunately there is no option Present .

Let's correct question

make height =3.14ft

Volume=

Some how nearly present is 9-3/4 ft³ i.e 9.75ft³

Answer:

363=90bags

then you look into it and say

440=200bags

Answer:

A. (-8, 0)

Step-by-step explanation:

The side of the line that is shaded contains the solutions to the inequality. (-8, 0) is in the shaded part of both graphs.

Also, 0 > -15 and 0 [tex]\geq[/tex] -9

I hope this helps :)

The equation of direct variation given that y varies directly with x.

y is 15 when x is 11 will be [tex]y = \dfrac{15}{11} x[/tex].

The proportional relationship between x and y can be written symbolically as

[tex]x \propto y[/tex]

That middle sign is called the sign of proportionality.

Variation: Direct from y to x:

[tex]x \propto y[/tex]

y = 15, x= 11

Write the equation

[tex]x \propto y[/tex]

Express as an equation

[tex]y = kx[/tex]

Where k is the constant of variation

Substitute

y = kx

15 = 11k

Solve for k

k = 15/11

Substitute  in [tex]y = kx[/tex]

[tex]y = \dfrac{15}{11} x[/tex]

Thus, the equation of direct variation given that y varies directly with x.

y is 15 when x is 11 will be [tex]y = \dfrac{15}{11} x[/tex].

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80 * 25 /100 = 20 .........

Answer:

20

Step-by-step explanation:

25% of 80

to turn 25% into a decimal, 25 / 100 = 0.25  

multiply 80 by 0.25, 80 x 0.25 = 20

the degrees Fahrenheit is -9

The inequality that represents the possible length of the patio is √A < 625.

Maddie's backyard is 25 meters by 25 meters.

Therefore,

area of the backyard = 25 × 25  = 625 m²

Hence,

She wants to put a square cement patio in her backyard.

A = area of the patio, in square meters.

Hence,

area of the backyard = 625 m²

Therefore, the inequality that represents the possible length of the patio is √A < 625.

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Answer:

-[tex]\frac{17}{3}[/tex]

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Raise -2 to the power of 3 = -8

9-8= 1

Answer:

1

Step-by-step explanation:

A number raised to the 3rd power is equal to that number multiplied by itself twice. Below I have expanded the expression to visualize this process. If this makes it more confusing, the main way is just to go from line 1 to line 4.

9 + (-2)³                          <---- Original expression

9 + (-2 x -2 x -2)             <---- (-2)³ expanded

9 + (4 x -2)                     <---- -2 times -2

9 + (-8)                           <---- 4 x -2                    

1                                     <---- 9 - 8

if its diameter is 9, that means its radius is half that, or 4.5.

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4.5 \end{cases}\implies \begin{array}{llll} SA=4\pi (4.5)^2\implies SA=81\pi \\\\\\ SA\approx 254.47~in^2 \end{array}[/tex]

The surface area of the basketball with diameter of 9 in will be 254.34 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given that, a basketball has a diameter of 9 inches we need to find its surface area,

Since, the basketball is in the shape of the sphere and the surface area of the sphere = 4π×radius²

Therefore, the surface area of the basketball =

= 4×3.14×(9/2)²

= 4×3.14×4.5×4.5

= 254.34 in²

Hence the surface area of the basketball with diameter of 9 in will be 254.34 in².

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Answer:

oh ok. So, first, you get the equation in the form y=ax2+bx+c. Next, you calculate -b / 2a. This is the x-coordinate of the vertex. Then finally, you plug in the value of -b / 2a into the equation into the x variable and solve for the y variable. This is the coordinate of the vertex.

Step-by-step explanation:

Hope this helps!

Answer:Calvin throws 12 sheets of paper up in the air.

He randomly catches one of the sheets as they float down.

Of the 12 sheets of paper, 9 are white and 3 are red.

Probability = Number of favorable outcomes/ total number of outcomes

The probability that Calvin caught a white sheet is = or 75%.

It is likely that this event occurs as above 70% we say that the event is likely and here the probability is 75%.

The probability that Calvin caught a red sheet is = or 25%

This is unlikely to happen. Thus, we can say that it is not likely event.

Answer:

48 units²

Step-by-step explanation:

Lateral Surface Area :

Answer:

48 units²

Step-by-step explanation:

The lateral area of a square based pyramid comprises the four triangular sides.

Area of a triangle = 1/2 × base × height

                             = 1/2 × 8 × 3

                             = 1/2 × 24

                             = 12 units²

Lateral SA = 4 × area of triangle

                 = 4 × 12

                 = 48 units²

By definition of perimeter and consecutive side, we conclude that the side lengths of the triangle with perimeter of 141 centimeters are 46, 47 and 48 centimeters.

The three sides of a triangle are consecutive if and only if they are represented by three consecutive natural numbers. The perimeter is the sum of the three side lengths, whose formula is presented below:

x + (x + 1) + (x + 2) = 141

3 · x + 3 = 141

3 · (x + 1) = 141

x + 1 = 47

x = 46

By definition of perimeter and consecutive side, we conclude that the side lengths of the triangle with perimeter of 141 centimeters are 46, 47 and 48 centimeters.

The statement is complete, the correct statement is the following:

The triangle has three consecutive sides and its perimeter is 141 centimeters. Work out the value of each side.

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Answer:

A Quadrilateral is a 4 sided figure. In other words any shape that has 4 sides is a quadrilateral for example square, rectangle, trapezium etc

Step-by-step explanation:

Answer:

462

Step-by-step explanation:

Base=π × r²

=> π × 3.5²

=>38.48

Volume:

Base times height

=>38.48 x 12

=>461.81

Answer:

Step-by-step explanation:

Given ;

Volume of cylinder = π2²h

Volume of the cylinder is 426m².

Answer:

The probability is the same.

Step-by-step explanation:

The chances of rolling a 3 with one die is 1/6. The chances of rolling a 6 with 2 dice is 2/12.

Answer:

always, always, never, always, always  

Step-by-step explanation: brainliest?

Step-by-step explanation:

mark me brainlist please!!

the answer is A

The factored expression of the expression 4a^3b^5 - 18a^2b^3 + 8a^3b^3 is 2a^2b^3(2ab^3 - 9 + 4a)

The expression is give as:

4a^3b^5 - 18a^2b^3 + 8a^3b^3

Factor out 2

2(2a^3b^5 - 9a^2b^3 + 4a^3b^3)

Factor out a^2b^3

2a^2b^3(2ab^3 - 9 + 4a)

Hence, the factored expression of the expression 4a^3b^5 - 18a^2b^3 + 8a^3b^3 is 2a^2b^3(2ab^3 - 9 + 4a)

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The step of Talia that's incorrect is: C. step 3 because the slope ratio she calculated is incorrect.

The slope of a line (m) = rise/run = change in y / change in x.

Calculating the slope using two points on the line, (2, 5) and (1, 3), we should have:

Slope (m) = (5 - 3)/(2 - 1)

Slope (m) = (2)/(1)

Slope (m) = 2

This shows that the ratio of the slope calculated by Talia was wrong. The step that is incorrect is: C. Step 3

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Answer:

y=-x+6

Step-by-step explanation:

Start by graphing y=-x+5.  Then mark the point (2,4) for easier reference.  A parallel line just has the same slope, so if you make another line with the same slope, and change the y-intercept until the line goes through (2,4), you will have the answer.

Answer:

3x³ + 12x

Step-by-step explanation:

3x(x² + 4)

3x³ + 12x

Answer:

-18 + x = 11

x = 29

Step-by-step explanation:

To solve this, you can use the formula of a + b = c

[tex]-18 + x = 11\\-18 = 18\\11 + 18 = 29\\x = 29[/tex]

Answer:

29

Step-by-step explanation:

Your equation can be -18+x=11. Since we don't know the number, we can use x. We are trying to find out a number that when it's added to -18, the answer will be 11.

Now, we solve the equation:

-18+x=11

x=11+18

x=29. Answer

To check this answer:

we can use our equation and substitute 29 for x.

-18+x=11

-18+(29)=11

11=11.

They are equal. Therfore, the answer is correct.

This graph represents a function Because it passes the vertical line test.

Let us first understand the Vertical Line Test.

In this test, we draw a few random vertical lines on a graph and check whether any one or more than one lines intersect the graph, no matter once or more.

If there exists a line that intersects the graph, we say the graph passes the vertical line test.

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

Hence this graph passes the vertical line test because there are many vertical lines that intersect it.

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