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3 years ago

Please help asap 40 pts

Mathematics

2 answers:

ch4aika [34]3 years ago

6 0

73.32. ft/sec is the correct answer

good luck

Korolek [52]3 years ago

3 0

$v=\sqrt{64h}=\sqrt{64}\cdot\sqrt{h}=8\sqrt{h}\\\\h=84\ ft.\\\\substitute\\\\v=8\sqrt{84}\approx8\cdot9.1651\approx73.32$

$Answer:\ 73.32\ ft/sec$

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the numbers 2-12 are written on cards and placed in the bag.what is the probability of picking an even number then replacing it

lorasvet [3.4K]

We have the cards numbered as 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

Sample number is, n(S)=11.

We pick a card and want to get even number like 2, 4, 6, 8, 10, and 12.

Probability of picking an even number would be :-

P(even numbers) = $\frac{6}{11}$

Now we replace the card and want to get a 7 in second attempt.

Probability of picking a 7 would be :-

P(number 7) = $\frac{1}{11}$

Now Probability of this event = P(even numbers) × P(number 7)

Probability = $(\frac{6}{11} )(\frac{1}{11} ) = \frac{6}{121}$

So final answer is $\frac{6}{121}$ .

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3 years ago

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madam [21]

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3 years ago

A rectangle has a height of k2 + 3 and a width of k2 + 7.

ElenaW [278]

Answer:

The area of the rectangle in polynomial form is $k^4 +10 k^2 + 21$

Step-by-step explanation:

Given

Shape: Rectangle

$Height: k^2 + 3$

$Width: k^2 + 7$

Required

Area of the rectangle

The area of a rectangle is calculated as thus;

$Area = Length * Width$

By substituting $k^2 + 3$ for height and $k^2 + 7$ for width; This gives

$Area = (k^2 + 3)(k^2 + 7)$

Expand the bracket

$Area = k^2(k^2 + 7) + 3(k^2 + 7)$

Open each bracket

$Area = k^2*k^2 + k^2*7 + 3*k^2 + 3*7$

$Area = k^4 +7 k^2 + 3k^2 + 21$

$Area = k^4 +10 k^2 + 21$

Hence, the area of the rectangle in polynomial form is $k^4 +10 k^2 + 21$

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3 years ago

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Ivahew [28]

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Fish tank B
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The volume of fish tank A is 200 ft^3, and the volume of fish tank B is 160 ft^3, so fish tank A has a greater volume. Its volume is greater by 40 ft^3.

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3 years ago

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olasank [31]

Answer:

1a. 4

1b. 10

2a. 12

2b. 15

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4a. 14

4b. 5

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3 years ago