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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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Please help! Find the approximate location of the decimal form of 2/3 on the number line below
kirill115 [55]

Answer:

C

Step-by-step explanation:

The answer would be C because 2/3 as a decimal is 0.6666 and it goes on forever. D is at 0.75 which is too big and a and b are less than 0.5, so C is the correct answer.

8 0
3 years ago
Solve absolute value of x-2=4
nika2105 [10]

Answer:

6

Step-by-step explanation:

2+4=6

you need to do the oppsite opporation and that the answer for example x-2=4 just add 2 and 4 and thats the answer that is aslo the same rule as divsion and multiplecation sorry for spelleng mistakes hope this helps!!!!!!

4 0
3 years ago
Read 2 more answers
3 years ago, the residents of Planet X found a black hole leading to another galaxy. Since then, they have been leaving Planet X
Llana [10]

Answer:

A total of 360 residents left Planet X in the past 3 years.

Step-by-step explanation:

120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.

8 0
2 years ago
Read 2 more answers
Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost
zhenek [66]

Answer:

Carrots cost $ 1.75 a pound which is more than potatoes cost.

Step-by-step explanation:

Let,

Carrots cost $ x per pound and potatoes cost $ y per pound.

Buying 2 pounds of carrots  and 3 pounds of potatoes will cost her

$ (2\times x + 3\times y)

and

Buying 4 pounds of carrots and 4 pounds of potatoes will cost her

$ (4\times x + 4\times y)

According to the question,

(2\times x + 3\times y) = 8-----(1)

(4\times x + 4\times y) = 13-----(2)

multiplying (1) by 2 we get,

(4\times x + 6\times y) = 16-----(3)

Deducting (2) from (3) we get,

2\times y = 3

⇒ y = \frac{3}{2} = 1.5------------------(4)

Putting value of y in (1) we get,

(2\times x = 8 - 3\times 1.5) = 3.5

⇒  x =\frac{3.5}{2} = 1.75 ------------(5)

8 0
3 years ago
(2 points) An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans have brown eyes. A
lara31 [8.8K]

Answer: a) z=1.43

b) 0.1528

Step-by-step explanation:

The given set of hypothesis :

H_0:p=0.45

H_a:p\neq0.45

Since the alternative hypothesis H_a is two-tailed , so we perform two-tailed test.

Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.

Sample proportion: \hat{p}=\dfrac{28}{76}=0.3684

a) The z-statistic would be :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

\Rightarrow\ z=\dfrac{0.3684-0.45}{\sqrt{\dfrac{0.45(1-0.45)}{76}}}=-1.4299121397\approx-1.43

b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)

=2P(z>1.43)

=2(1-P(z≤1.43)

=2-2P(z≤1.43)

= 2-2(0.9236)[Using standard z-table]

= 2-1.8472=0.1528

Hence,  the P-value of the test= 0.1528

6 0
3 years ago
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