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Lady bird [3.3K]
2 years ago
9

The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation h =

a sine (b (t minus h)) k. what is the height of the ball at its equilibrium? a feet b feet h feet k feet
Mathematics
1 answer:
shusha [124]2 years ago
4 0

The function is a sine function and, the height of the ball at equilibrium is a feet

<h3>How to determine the height at equilibrium?</h3>

The function of the height is given as:

h = a sin(b (t - h)) k

The above function is a sine function, and the amplitude of the function is the variable a

The amplitude is the height of the ball at equilibrium

Hence, the height of the ball at equilibrium is a feet

Read more about sine functions at:

brainly.com/question/9565966

#SPJ4

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Suppose you have a pocketful of change. You have some pennies (p) and some quarters (q). One expression could be used to describ
faltersainse [42]

Answer:

13

1.57

Step-by-step explanation:

So we have two equations regarding the number of quarters <em>q</em> and the number of pennies <em>p:</em>

<em />p+q<em />

Which represents the total amount of coins and

0.01p+0.25q

Which represents the total amount of money in dollars.

So we are asked to evaluation each expression for the situation in which we have 6 quarters and 7 pennies. Thus, plug 6 in for <em>q</em> and 7 in for <em>p:</em>

<em />p+q\\(7)+(6)=13<em />

This tells us that we have 16 coins in total.

0.01(7)+0.25(6)\\=0.07+1.50\\=1.57

This tells us that we have a total amount of $1.57.

5 0
3 years ago
Read 2 more answers
Suppose the linear regression line y = 2.009x - 37.131 predicts a pizza
VARVARA [1.3K]

Answer:

Pizza parlor's profit = $515.344

Step-by-step explanation:

Given that:

Linear regression line for pizza parlor's profit

y = 2.009x - 37.131

x represents the number of pizzas sold

y represent the profit in dollars

Profit for 275 pizzas

Putting x = 275 in given equation

y = 2.009(275) - 37.131

y = 552.475 - 37.131

y = 515.344

Hence,

Pizza parlor's profit = $515.344

6 0
3 years ago
The fourth question please.
garik1379 [7]
Going from the left to the right. 9, 4, 13, 15, 12, 6, 11. The total cost is the sum of these, or $70,000.
8 0
3 years ago
Answers? Thanks so much in advance for any help :)
LuckyWell [14K]
13. AC=6 

sorry it's just a guess i'm like 99% sure tho
8 0
3 years ago
A shooting star forms a right triangle with the Earth and the Sun, as shown below:
frez [133]

The positions of the sun, earth and shooting star form a right angled triangle, where distance between earth and sun is 'y', and the angle 'x°' is given

Now, in a right angled triangle using trigonometry, we can determine a side of the triangle is one of the sides and one of the angles is known

Here, if we use cos x = \frac{Base}{Hypotenuse} we can determine the distance between the shooting star and the sun. This can be done because we know that the base is 'y', the angle is x° and the hypotenuse represents the distance between the sun and the shooting star

Note: cos values for each x are definite.

3 0
3 years ago
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