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3 years ago

Here attached: 8 and 9. 23 pointz

Mathematics

1 answer:

Elza [17]3 years ago

3 0

8) Since the labels just cover the sides...

A=2πrh and the difference between these two labels will then be:

A=2π(1.5*4.5-1*3)

A=2π(6.75-3)

A=7.5π in^2

A≈23.56 in^2 (to nearest hundredth of a square inch)

9)

V=hπr^2 (the picture appears to show diameters and not radii so)

V=(hπd^2)/4

Since the volume is proportional to hd^2 we can just see when that product is equal...

4^2(h)=6^2(6)

16h=216

h=13.5 in

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Simplify the following expression. 4a^-2b A.) b/4a^2 B.)4b/a^2 C.)1/4a^b2

Sergio [31]

ANSWER

The correct answer is B

$\frac{4b}{ {a}^{2} }$

EXPLANATION

The given exponential expression is

$4 {a}^{ - 2} b$

We can rewrite this as,

$4b \times {a}^{ - 2}$

We need to simplify to obtain a positive index, so we apply the following property,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that,

$4b \times {a}^{ - 2} = 4b \times \frac{1}{ {a}^{2} }$

This will finally simplify to,

$4b \times {a}^{ - 2} =\frac{4b}{ {a}^{2} }$

Therefore the correct answer is B

6 0

3 years ago

Read 2 more answers

Write a polynomial that represents the length of the rectangle help please !!

disa [49]

Answer:

$\textsf{Length}=0.8x^2-0.7x+0.7\quad \sf units$

Step-by-step explanation:

Area of a rectangle = width × length

Therefore, to find the length of the rectangle, we need to divide the area by the width.

Using long division:

$\large\begin{array}{r}0.8x^2-0.7x+0.7\phantom{)} \\x+0.5{\overline{\smash{\big)}\,0.8x^3-0.3x^2+0.35x+0.35\phantom{)}}}\\-~\phantom{(}\underline{(0.8x^3+0.4x^2)\phantom{-b))))))))))))))}}\\0-0.7x^2+0.35x+0.35\phantom{)}\\ \underline{-~\phantom{()}(-0.7x^2-0.35x)\phantom{-b)))))}}\\ 0.7x+0.35\phantom{)}\\\underline{-~\phantom{()}(0.7x-0.35)}\\ 0\phantom{)}\end{array}$

Therefore, the length of the rectangle is:

$0.8x^2-0.7x+0.7$

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2 years ago

MN0 with vertices M(4,-5), N(5,-8), O(8, -6) ; translate the new figure M'N'O' (-2,5)

Aleks04 [339]

If you are translating a graph (-2,5), the easiest way to find the new points is to subtract the x value of each coordinate (M, N, and O) by 2. This will give you the new x values for the translated coordinates. Then, to find the new y values, add 5 to the y values of each coordinate. Then put the new x value and new y value in the form of a coordinate, and that will be your answer.

5 0

3 years ago

Please help! ~Find the volume of the triangular prism~

12345 [234]

Answer:

23.04 m^2

Step-by-step explanation:

The volume of a prism is base * height. In the case of a triangular prism, you need to find the area of the base first (aka the triangle).

The area of a triangle is base * height / 2. Since we have the values for those we can substitute the values into the formula and solve.

2.4 * 3.6 / 2 = 3.84.

Now multiply that by height of the prism, which is 6, and we get 23.04 m^2.

Hope this helps!

7 0

3 years ago

The following frequency distribution shows the yearly tuitions (in $1,000s) of a sample of private colleges.

hoa [83]

Answer:

19.714

Step-by-step explanation:

Given :

Yearly Tuition Frequency

12-16 5

17-21 4

22-26 3

27-31 2

We calculate the midpoint (x) = (lower + upper) / 2

The mean yearly tuition :

The midpoint (x) :

X ___ F ___ Fx

14 __ 5

19 __ 4

24 __ 3

29 __ 2

The mean = Σfx / Σf

Σfx / Σf = (14*5 + 19*4 + 24*3 + 29*2) / (5+4+3+2)

Mean = 276 / 14

Mean yearly tuition = 19.714

8 0

3 years ago