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3 years ago

6

Marvin used apples to make apple bread the ratio of apples two loaves is 12:2.What is the equivalent fractions for five loaves o

f bread? Explain how you know

1 answer:

nikklg [1K]3 years ago

7 0

Try 6 X 2? Maybe this works

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kyle walked his neighbors dog to earn money.He earned $89.49 during a 3 month period.What was the average amount kyle earned eac

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3 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

so

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)

so

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

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

PLEASE HELP! i have a couple minutes left

swat32

Answer:

1.8

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

(86-32)/(30-0)

54/30

1.8

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4 years ago

Read 2 more answers

The difference between 9 thirty-sevens and 8 thirty-sevens

7nadin3 [17]

37
$37 \times 9 = 333 \\ 37 \times 8 = 296 \\ 333 - 296 = 37$

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3 years ago

Read 2 more answers

PLZZZ HELP ME WITH THESE 4 QUESTIONS <br><br> THX SO MUCH!! ( 80 POINTSSSSS!!!!)

katrin2010 [14]

For section 3.01 black, number 1 is correct, but number 2 is wrong.

When you raise an exponent to an exponent, you multiply the 2 exponents.

(x^4)^5 is x^20.

Number 3 is also right.

For 3.02, you use the interest formula. (1 + i/100)^t times x

x is the amount of money you have originally. i is the interest rate, t is the time.

1,500(1.03)^5 = 1738.91111145

$1738.91

For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.

$\sqrt[4]{a^{3} } = a^{\frac{3}{4} }$

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3 years ago