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Simora [160]
3 years ago
8

PLEASE HELPPPPP!!!!!!!!!!!!!!! SHOW WORK

Mathematics
1 answer:
larisa [96]3 years ago
5 0

Answer:

  • 17. A. 180 in²
  • 18. B. 234 in²

Step-by-step explanation:

#17

<u>Total surface area is:</u>

  • A = 8(3*2 + 6*2) + 2(3*6) = 180 in²

Correct option is A

#18

<u>Total surface area is:</u>

  • A = 2(9*9) + 4(2*9) = 234 in²

Correct option is B

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Find the following integral. <br> Integrate x + 5/x^2 +10x +26 dx
sweet-ann [11.9K]

Given :

Polynomial , f(x)=x+\dfrac{5}{x^2}+10x+26 .

To Find :

Integration of f(x) .

Solution :

We know , integration of x^n is :

\int x^n \, dx = \dfrac{x^{n+1}}{n+1}+C

( Here , is C is a constant )

Now ,

\int f(x)\ dx=\int( x+\dfrac{5}{x^2}+10x+26)dx\\                  \\                 \int f(x)\ dx= \int x\ dx+\int 5x^{-2}\ dx+\int 10 x \ dx +26\ dx\\                 \\                 \int f(x)\ dx=\dfrac{x^2}{2}+\dfrac{5\times x^{-1}}{(-1)}+\dfrac{10x^2}{2}+26x+C\\\\                 \int f(x)\ dx=\dfrac{11x^2}{2}+26x-5x^{-1}+C

Therefore , the integration is \dfrac{11x^2}{2}+26x-5x^{-1}+C .

Hence , this is the required solution .

6 0
3 years ago
What's the surface area of this figure? (figure shown on picture)
KIM [24]

Answer:

800 in²

Step-by-step explanation:

Let’s find the area of all the shapes in the net.

10 · 10 = 100

100 · 2 = <u>200</u>

15 · 10 = 150

150 · 4 = <u>600</u>

200 + 600 = <u><em>800</em></u>

3 0
3 years ago
2.
Jet001 [13]

Answer:

119.2

Step-by-step explanation:

Given the following :

Mean (m) = 100 years

Standard deviation (sd) = 15 years

closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the

distribution?

Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28

Zscore = (X - mean) / standard deviation

1.28 = (X - 100) / 15

1.28 × 15 = X - 100

19.2 = X - 100

19.2 + 100 = X

X = 119.2

3 0
3 years ago
2x-7=117 what is the value of x
Tcecarenko [31]

2x - 7 = 117

Add 7 to both sides

7 + 2x - 7 = 117 + 7

At the left hand side 7 will cancel 7

At the right hand side 7 will add up

2x = 124

Divide through by 2

x =  \frac{124}{2}

simplify the fraction

x = 62

4 0
2 years ago
There are 9321 leaves on a tree explain why the digit 3 stay the same when
Nat2105 [25]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ The 3 remains the same when 9,321 is rounded because if you look to the right of the number in the hundreds place, you see 2. 5 and above, give it a shove (round up). 4 and below, leave it alone (round down). Since 2 is below 5, we leave it alone. So 9,321 is rounded to 9,300.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

6 0
3 years ago
Read 2 more answers
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