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2 years ago

8.

Mathematics

2 answers:

azamat2 years ago

8 0

Answer:

Step-by-step explanation:

2[3(4^2+1)] -2^3

2[3×(16+1)] -2^3

2[3×17] -8

2(51) -8

102-8

=94

Hope this helps

Viktor [21]2 years ago

3 0

Answer:

The choice C.94

Step-by-step explanation:

$2(3( {4}^{2} + 1)) - {2}^{3} \\ \\ 2(3(16 + 1)) - 8 \\ \\ 2(3(17)) - 8 \\ \\ 2(51) - 8 \\ \\ 102 - 8 = 94$

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Find the first term of the arithmetic sequence in which a38= -5 and the common difference is -2.9

mestny [16]

Answer:

102.3

Step-by-step explanation:

a_38 = -5

difference d= -2.9

We use general formula

$a_n = a_1 + (n-1)d$

WE make the formula for a_38 th term

Plug in 38 for n

$a_{38} = a_1 + (38-1)d$

Now plug in -2.9 for d and -5 for a_38

$-5 = a_1 + (38-1)(-2.9)$

$-5 = a_1 - 107.3$

Now add 107.3 on both sides

102.3 = a_1

option A is correct

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2 years ago

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The volume of this cylinder is 1,909.92384 cubic millimeters. What is the radius? Use n=3.14 and round your answer to the neares

klemol [59]

Remember that the volume of a cylinder is

$\begin{gathered} V=\pi\cdot r^2\cdot h \\ \end{gathered}$

so we have that

$r=\sqrt[]{\frac{V}{\pi\cdot h}}=\sqrt[]{\frac{1909.92384}{3.14\cdot6.6}}=\sqrt[]{92.12}=9.6$

so the radius is 9.6 milimeters

6 0

1 year ago

Find the probability that<br> x <= -3

Slav-nsk [51]

Answer:

30%

Step-by-step explanation:

there are two numbers that fit in the x<=3 category, those being -3 and -5, so you add the two decimals for them (.17 and .13) to get .30 and move the decimal two times to the right to make it in percentage form.

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2 years ago

Area of a circle with a diameter of 4cm

makkiz [27]

Answer:

A≈12.57cm²

Step-by-step explanation:

A=1

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3 years ago

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If PQR ~ UTV, find the value of x.

user100 [1]

The value of x is 15.

Solution:

Given ΔPQR $\sim$ ΔUTV.

<em>If two triangles are similar, then the corresponding parts are congruent.</em>

$$\Rightarrow \frac{PR}{UV} =\frac{RQ}{VT}$

$$\Rightarrow \frac{14}{x + 6} =\frac{8}{x -3}$

Do cross multiplication, we get

⇒ 14(x - 3) = 8(x + 6)

⇒ 14x - 42 = 8x + 48

Add 42 on both sides.

⇒ 14x = 8x + 90

Subtract 8x on both sides.

⇒ 6x = 90

Divide by 6 on both sides.

⇒ x = 15

The value of x is 15.

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3 years ago