4 points

3. The area of the base of a can is 45 square inches. Its height is 12 inches. If 1/3 of the

height is cut off, what will be the volume of the can?*

a) 540 cubic inches

b)180 cubic inches

c) 280 cubic inches

d) 360 cubic inches

Answer:

It seems to be D)9 from intervals 1 to 3...

Step-by-step explanation:

Can't really explain that well, but the rate of change in an exponential function should always be decreasing or increasing. Instead of it being constant like a linear equation.

I.E. Not additive, instead to find it we need to divide.

[tex]\frac{27}{3} =9[/tex]

So, it should be 9. However, It does not seem to be maintained for the values after 3. Oh well!

Hope this helps!

The average rate of change of the function is 12.

The rate of change function represents the rate at which one quantity changes in relation to another. Simply put, the rate of change is the difference between the amount of change in one item and the comparable amount of change in another.

Rate of change = [ y₂ - y₁ ] / [ x₂ - x₁ ]

The rate of change for x₁ = 1 to x₂  = 3 at x₁ = 1 ,y₁ = 3 and at x₂= 3, y₂ = 27.

Rate of change =  [ y₂ - y₁ ] / [ x₂ - x₁ ]

                          = [ 27 - 3 ] / [ 3 - 1 ]

                          = [ 24 / 2 ]

                          = [ 12 ]

Hence, the correct option is A.

To know more about the rate of change follow

https://brainly.com/question/27219722

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Answer:

the answer will be x=-9

Step-by-step explanation:

-5(x+6)=15

-5x-30=15

-5x=15+30

-5x=45

×=-9

Answer:

[tex]x=-9[/tex]

Step-by-step explanation:

[tex]-5(x+6)=15[/tex]

Use the distributive property.

[tex]-5x-30=15[/tex]

Add [tex]+30[/tex] on both sides of the equation.

[tex]-5x=15+30[/tex]

[tex]-5x=45[/tex]

Divide [tex]-5[/tex] on both sides of the equation.

[tex]x=45/-5[/tex]

[tex]x=-9[/tex]

Answer:

First parentheses

7-3=4

4^3 / 4 x 2

Next exponents

do 4^3

4 x 4 x 4 = 64 x 4 = 256

256 / 4 x 2 is left

256 / 4 = 64

64 x 2 = 128

128

Hope this helps

Step-by-step explanation:

Answer:

5.7x

Step-by-step explanation:

Addition, 4.2x+1.5x=5.7x

Answer:

the ans is 5.7 x

..........

Answer: 12 inches

Step-by-step explanation:

Vol = 1/3 x b x h

240 = 1/3 x b x 15

b = 240/5 = 48 in = area of triangle base

Area = 1/2 x b x h

48 = 1/2 x 8 x h

h = 48/4 = 12 inches

Answer:

Step-by-step explanation:

D 33.9 minutes I just took the test and got it right

Answer:

d

Step-by-step explanation:

Answer:

64=2✖️2✖️2✖️2✖️2✖️2

80=2✖️2✖️2✖️2✖️2✖️5

Common factors=2✖️2✖️2✖️2

As HCF= Product of common factors

HCF =2✖️2✖️2✖️2

HCF=16

Step-by-step explanation:

I hope this will help you:)

Answer:

Its 16.2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

around 48 times

Step-by-step explanation:

the total is 5

the red and orange equals to 2

2/5 times 120

240/5

Answer:

64+24x

Step-by-step explanation:

first multiply 2 and 4

(inside the parenthesis)Combine like terms, 4 &4

Distribute the outside 8 to 8 and 3x

8(8)= 64

3(3x)=24x

Answer: 4x^6+6x^5+8x^4

Step-by-step explanation:

2x^4 (2x^2+3x+4)

=(2x^4)(2x^2+3x+4)

=(2x^4)(2x^2)+(2x^4)(3x)+(2x^4)(4)

=4x^6 + 6x^5 +8x^4

Answer:

x = 0 or x = 4

Step-by-step explanation:

x² + y² = 25 and y = -2x + 5

Here,

x² + y² = 25 ...(1)

Now,

Put the value of y = -2x + 5 in equation (1)

we get,

x² + (-2x + 5)² = 25

x² + {(-2x)² + 2(-2x) (5) + (5)²} = 25

x² + {4x² - 20x + 25} = 25

x² + 4x² - 20x + 25 = 25

5x² - 20x = 25 - 25

5x² - 20x = 0

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0/5 or x = 4

x = 0 or x = 4

Answer:

x = 0, x = 4

Step-by-step explanation:

I hope its helpful

Answer:

see below

Step-by-step explanation:

The line segment is the hypotenuse of a right triangle with legs 1 and 3 so using Pythagorean Theorem its length is √10.

Answer:

Step-by-step explanation:

(-2, -2 )  ;   (-3, - 5)

[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\\\=\sqrt{(-5-[-2])^{2}+(-3-[-2])^{2}}\\\\=\sqrt{(-5+2)^{2}+(-3+2)^{2}}\\\\ =\sqrt{(-3)^{2}+(-1)^{2}} \\=\sqrt{9+1}\\\\=\sqrt{10}[/tex]

Answer:

X=20

70 x 2 for the other side = 140

every triangle has 180 degrees

180-140=40

There are 40 remaining degrees

there are two x's so we divide by 2

40 = X2

20 = X

Hope this helps

Step-by-step explanation:

Answer:

x = 7.5

Step-by-step explanation:

5/6 = 10/2x-3

Solve using cross products

5 ( 2x-3) = 6*10

Divide each side by 5

2x-3 = 6*10/5

2x-3 =12

Add 3 to each side

2x-3+3 = 12+3

2x =15

Divide each side by 2

2x/2 = 15/2

x = 7.5

Answer:

[tex]y=ax^2+bx+c[/tex]

Step-by-step explanation:

[tex]y=ax^2+bx+c[/tex] because in a quadratic, there is a exponent 2, 1, and 0

Answer:

(x – 1)(x^2 + x + 1) = x^3 - 1.

(x + 4)(x^2 - 4x + 16) = x^3 + 64.

Step-by-step explanation:

The identities are:

(a - b)(a^2 + ab + b^2) = a^3 - b^3   and

(a + b)(a^2 - ab + b^2) = a^3 + b^3

Answer:

C and E

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

14%

Step-by-step explanation:

first, you would have to find how many skittles there are in total. You would add the red, blue, green, and purple skittles together and get 72. Next you would take the number of red skittles (10) and put it over the number of total skittles (72) and get the fraction 10/72. Lastly divide 10 by 72 and get the decimal .13888889 which would round up to .14 move the decimal over 2 places and get 14%

hope this helped :)

Answer:

C. x+2

Step-by-step explanation:

a factor of polynomial is where polynomial = 0

in this case it's -2 so (x+2)

Answer:

Step-by-step explanation:

In circle C, RT= 6, RS = 10, and QT= 3. What is the length of line segment PQ?

In circle C, RT= 6,

RS = 10, and

QT= 3.

What is the length of line segment PQ?

[tex](RT) (RS) = (QT) (PQ)[/tex]

so plug that in

[tex](6)(10)=(PQ)(3)[/tex]

[tex](6)(10)=(PQ)(3) \\\\60=(PQ)(3)\\\\PT=\frac{60}{3} \\\\PQ=20[/tex],

Answer:

-5 ≤x≤5

Step-by-step explanation:

The domain is the values that are allowed for the input

As we can see from the graph, X can be from -5 to 5 inclusive

-5 ≤x≤5

Given as 6x-7=0

the value for x will be 7/6

Answer:

7/6 or 1.666666666

Step-by-step explanation:

6x-7=0

6x=7

x=7/6

Answer:

95%

Step-by-step explanation:

it's within 2 empirical jumps

Answer:

There is a local maximum at the point (-1,6), therefore, for x = -1

Step-by-step explanation:

Notice that the function adopts values smaller than 6 to the left of x = -1, and to the right of it:

(-3, -2), (-2, 0) to the left of x = -1 where the function's value is 6

and (0, 0), and (1, -2) to the right of x = -1

therefore, it looks like (-1, 6) is a maximum, that is for x = -1, where the function renders a value of 6.

Answer:

D is the correct answer

Answer: B

Step-by-step explanation:

If there is a change in something it normal means you subtract 1 number from another.

In this case the two values were 5 and -11.

At midday for answer b, it was 5  and at midnight it -11. It then wants to know the change in temperature which would result in an expression of 5-(-11).

Answer: always

Step-by-step explanation:

A right triangle is a kind of triangle with one right angle.

A theorem of right triangle says that :-

Hence, the statement "The altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse."  is always true.

Thus , the correct answer is "always".

Your answer should be always :)

(I know this has already been answered, but it can be reassuring to some people that the answer is correct ^-^)

Answer:

1 not rectangle

2 not rectangle

3 rectangle

Answer:

84ft

Step-by-step explanation:

6 * 14 = 84