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ahrayia [7]
3 years ago
13

A window has the shape of a rectangle with a semicircle at the top.

Mathematics
1 answer:
Sidana [21]3 years ago
7 0

Answer:

8+pi/2

Step-by-step explanation:

The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi

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Abraham ha $16 to spend on five pencils. After buying them, he has $6.25 left. How much was each pencil?​
Serhud [2]

Answer:

$ 1.95 per pencil

Step-by-step explanation:

16 - 6.25 = 9.75

9.75 / 5 = 1.95

3 0
3 years ago
How do you do these questions?
algol [13]

Answer:

-x¹⁴ / 5040

-½ < x < ½

Step-by-step explanation:

f(x) = e^(-x²)

The Taylor series for eˣ centered at 0 is:

eˣ = ∑ (1/n!) xⁿ

Substitute -x²:

e^(-x²) = ∑ (1/n!) (-x²)ⁿ

e^(-x²) = ∑ (1/n!) (-1)ⁿ x²ⁿ

The 14th degree term occurs at n=7.

(1/7!) (-1)⁷ x¹⁴

-x¹⁴ / 5040

ln(1 + x) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ xⁿ / n

If we substitute 4x²:

ln(1 + 4x²) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ (4x²)ⁿ / n

Using ratio test:

lim(n→∞)│aₙ₊₁ / aₙ│< 1

lim(n→∞)│[(-1)ⁿ⁺² (4x²)ⁿ⁺¹ / (n+1)] / [(-1)ⁿ⁺¹ (4x²)ⁿ / n]│< 1

lim(n→∞)│-1 (4x²) n / (n+1)│< 1

4x² < 1

x² < ¼

-½ < x < ½

7 0
3 years ago
The utility industry had 428.5 thousand jobs in 2010 and is expected to decline at an average rate of 3 thousand jobs per year f
e-lub [12.9K]

Answer:

Utility's percent Change from 2010 to 2020 = 7%

Step-by-step explanation:

Jobs available at the utility industry in 2010= 428.5 thousand

Average rate of decline = 3 thousand

Years between 2010 and 2020

Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100

Total change in jobs:

There are 10 years between 2010 and 2020

Jobs decline at an average of 3 thousand per year

Total change in jobs= 10 years × 3 thousand

= 30 thousand

Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100

= 30 thousand / 428.5 thousand × 100

= 0.07 × 100

= 7%

Utility's percent Change from 2010 to 2020 = 7%

4 0
4 years ago
Select the correct answer. A model rocket was launched from the top of a building. The rocket's approximate height can be modele
garri49 [273]

Answer:

13 seconds.

Step-by-step explanation:

Given

h = -4.9(t - 13)(t + 2).

Required

Determine a reasonable solution for t

To do this, we equate h to 0.

h = -4.9(t - 13)(t + 2). becomes

0 = -4.9(t - 13)(t + 2).

Divide through by -4.9

0 = (t - 13)(t + 2).

Reorder the expression

(t - 13)(t + 2) = 0.

Split

t-13 = 0 or t + 2 = 0

This gives:

t = 13 or t = -2

But time can't be negative, So:

t = 13

6 0
3 years ago
Number 25 someone help me
Fittoniya [83]
The area of a triangle is given by the formula A= \frac{1}{2}Bh, where B is the base and h is the height. We can rearrange this formula to solve for B.

\dfrac{A}{ \frac{1}{2}h} = B\\ \\\\\dfrac{2A}{h} = B.

We plug in the given area, 640 square millimeters, and the given height, 32 millimeters.

B= \dfrac{2(640)\ mm^2}{32 \ mm} = 40 \ mm.

40 mm is our final answer.
5 0
3 years ago
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