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3 years ago

2 quarters and 2 dimes is what percent of 1 dollar?

Mathematics

1 answer:

9966 [12]3 years ago

5 0

Answer: 70%

Step-by-step explanation:

2 quarters and 2 dimes is 70 cents. 100 cents total in a dollar so no need for further calculation. 70%

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The monarch butterfly population is estimated at 18,000. It decreased at a

Natasha_Volkova [10]

Answer:

I think, yes?

Step-by-step explanation:

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3 years ago

What is the value of the expression shown below? 2 over 3 to the power of 2 + 5 × 2 − 4 (4 points)

kondor19780726 [428]

Answer: It equals 8.

Step-by-step explanation:

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2 years ago

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6

katrin2010 [14]

Answer:

Part a) The height of the ball after 3 seconds is $49\ ft$

Part b) The maximum height is 66 ft

Part c) The ball hit the ground for t=4 sec

Part d) The domain of the function that makes sense is the interval

[0,4]

Step-by-step explanation:

we have

$h(t)=-16t^{2} +63t+4$

Part a) What is the height of the ball after 3 seconds?

For t=3 sec

Substitute in the function and solve for h

$h(3)=-16(3)^{2} +63(3)+4=49\ ft$

Part b) What is the maximum height of the ball? Round to the nearest foot.

we know that

The maximum height of the ball is the vertex of the quadratic equation

Convert the function into a vertex form

$h(t)=-16t^{2} +63t+4$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$h(t)-4=-16t^{2} +63t$

Factor the leading coefficient

$h(t)-4=-16(t^{2} -(63/16)t)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$h(t)-4-16(63/32)^{2}=-16(t^{2} -(63/16)t+(63/32)^{2})$

$h(t)-(67,600/1,024)=-16(t^{2} -(63/16)t+(63/32)^{2})$

Rewrite as perfect squares

$h(t)-(67,600/1,024)=-16(t-(63/32))^{2}$

$h(t)=-16(t-(63/32))^{2}+(67,600/1,024)$

the vertex is the point (1.97,66.02)

therefore

The maximum height is 66 ft

Part c) When will the ball hit the ground?

we know that

The ball hit the ground when h(t)=0 (the x-intercepts of the function)

$h(t)=-16t^{2} +63t+4$

For h(t)=0

$0=-16t^{2} +63t+4$

using a graphing tool

The solution is t=4 sec

see the attached figure

Part d) What domain makes sense for the function?

The domain of the function that makes sense is the interval

[0,4]

All real numbers greater than or equal to 0 seconds and less than or equal to 4 seconds

Remember that the time can not be a negative number

6 0

3 years ago

What is the output of the function when the input is 0

bearhunter [10]

Answer:

y = -1

Step-by-step explanation:

Any ordinate pair (x, y) represents the input output values of a function to be graphed.

For any input value of x, there will be an output value (y).

If input value for the graph attached is x = 0,

Output value will be represented by the y-value along y-axis as, y = -1

Therefore, y = -1 will be the answer.

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3 years ago

(2a^-2)(3a^3b^2)(c^-2)

aalyn [17]

Answer:

Step-by-step explanation:

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2 years ago