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nordsb [41]
3 years ago
6

Does anybody know how to do this??

Mathematics
1 answer:
boyakko [2]3 years ago
3 0

just divide 200 until u get 25 i think but idk the second one

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What is the first term of the geometric sequence presented in the table below?
Leto [7]
Fron the table given:

A3 = 112,
A8 = - 3,584

An = A1 *r ^ (n-1)

=> A3 = A1 (r^2) = 112

A8 = A1(r^7) = - 3,584

=> - 3584 / 112 = (r^7) / (r^2)

=> (r^5) = - 32

=> r = - 2

=> A1 (- 2)^2 = 112

=> A1 = 112 / 4 = 28

Answer: a1 = 28
8 0
3 years ago
An octagonal swimming pool has a base area of 22 square feet The pool is 3 feet deep How many cubic feet of water can the pool h
LenKa [72]

The pool can hold 65.84 ft³ of water

<u>Explanation:</u>

Given:

Shape of pool = octagonal

Base area of the pool = 22 ft²

Depth of the pool = 3 feet

Volume, V = ?

We know:

Area of octagon = 2 ( 1 + √2) a²

22 ft² = 2 ( 1 + √2 ) a²

\frac{11}{1+\sqrt{2} } = a^2

a² = \frac{11}{2.42}

a² = 4.55

a = 2.132 ft

Side length of the octagon is 2.132 ft

We know:

Volume of octagon = 2(1+\sqrt{2} ) X (a)^2 X h

V = 2(1+\sqrt{2})X (2.132)^2 X 3\\ \\V = 2 ( 2.414) X 4.5454 X 3\\\\V = 65.84 ft^3

Therefore, the pool can hold 65.84 ft³ of water

8 0
3 years ago
Which of the following p values will lead us to reject the null hypothesis if the level of significance equals .05?
V125BC [204]

Answer:

So then our significance level is \alpha=0.05 and we need to remember these two conditions:

1) If the p value p_v we have enough evidence to reject the null hypothesis at the significance level given

2) If the p value p_v \geq \alpha we have enough evidence to FAIL reject the null hypothesis at the significance level given

And baed on the options we see that the only possibility would be:

d. 0.015

Step-by-step explanation:

We want to know for which value we would REJECT the null hypothesis.

So then our significance level is \alpha=0.05 and we need to remember these two conditions:

1) If the p value p_v we have enough evidence to reject the null hypothesis at the significance level given

2) If the p value p_v \geq \alpha we have enough evidence to FAIL reject the null hypothesis at the significance level given

And baed on the options we see that the only possibility would be:

d. 0.015

7 0
3 years ago
Sinplify this expression -3(10x+4y)+6(6x-2y)
ad-work [718]

Answer:

6x-24y

Step-by-step explanation:

Step 1: -30x-12y+36x-12y

Distribute-3 to 10x and 4y

Then distribute 6 to 6x and -2y

Step 2: 6x-24y

After that add up like terms

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7B1150%3F%20%7D%20%20%3D%20" id="TexFormula1" title=" \sqrt[5]{1150? } = "
zimovet [89]
=4.0939
If you only need 1 d.p then it’s 4.1
3 0
2 years ago
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