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2 years ago

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A sphere has a radius of 5.3 ft. What is the volume of the sphere to the nearest tenth? use 3.14 for pi. Question 3 options:

1 answer:

Alenkinab [10]2 years ago

5 0

Your answer would be c
623.3 ft^3

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The Hudson Bay tides vary between 3 feet and 9 feet. The tide is at its lowest point when time (t) is 0 and completes a full cyc

BaLLatris [955]

Answer:

$y(t)= 6-3cos(\dfrac{2\pi}{14}t )$

Step-by-step explanation:

The function that could model this periodic phenomenon will be of the form

$y(t) = y_0+Acos(wt)$

The tide varies between 3ft and 9ft, which means its amplitude $A$ is

$A =\dfrac{(9-3)ft}{2} \\\\\boxed{A = 3ft}$

and its midline $y_0$ is

$y_o=3+3 \\\\\boxed{y_o= 6ft}$ .

Furthermore, since at $t=0$ the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is $-cos(\omega t)$ .

The period of the full cycle is 14 hours, which means

$\omega t =2\pi$

$\omega (t+14)= 4\pi$

giving us

$\boxed{\omega = \dfrac{2\pi}{14}.}$

With all of the values of the variables in place, the function modeling the situation now becomes

$\boxed{y(t)= 6-3cos(\dfrac{2\pi}{14}t ).}$

8 0

3 years ago

5 days = ? hours <br> Can you please show work so i can understand better?

son4ous [18]

24 Hours in one Day

5 Days

24 <span>× 5 = 120 Hours

Hope that helps! </span>

8 0

2 years ago

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John has 367 stamps And his uncle gave him some more stamps now he have 462 stamps how many stamps did he get from his uncle

Ulleksa [173]

Answer:

The answer is 829 because you are adding

Step-by-step explanation:

7 0

3 years ago

What two numbers multiply to give you -64 and add up to 0?

aksik [14]

I think it’s Positive 5

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2 years ago

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Use the given information to determine if the geometric series converges or

lana66690 [7]

Answer:

c) The series diverges. There is no sum.

Step-by-step explanation:

A geometric series is a series of the form:

$S = \Sigma_{i=0}^{n} a\cdot r^{i}$ , $\forall i \in \mathbb{N}_{O}$

Where:

$a$ - First term of the series, dimensionless.

$r$ - Common ratio, dimensionless.

A geometric series converges only if $|r| < 1$ . As $r > 1$ , the geometric series diverges. Hence, the right answer is C.

8 0

3 years ago