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3 years ago

A COFFEE POT HOLDS 5 QUART OF COFFEE. HOW MUCH IS THIS IN CUPS.

Mathematics

2 answers:

son4ous [18]3 years ago

6 0

Answer:

20 cups

Step-by-step explanation:

Rashid [163]3 years ago

3 0

Answer:

24 racks on god

Step-by-step explanation:

My n i 4 g a, 4 quarts is 24 racks my g on god furreal keep it a

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The probability that a fair coun tossed 10 times will lsndheads up on all ten tosses is 1 out of ?

boyakko [2]

It is one out of ten

4 0

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

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

Using your answer from the previous question, state the value of 't' if Josephine is going to run a dis-

gogolik [260]

Using the relation between velocity, distance and time, it is found that t = 3 hours.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, hence:

$v = \frac{d}{t}$

For this problem, the parameters are given as follows:

d = 15 miles, v = 5 mph

Hence the time in hours is found as follows:

$v = \frac{d}{t}$

$5 = \frac{15}{t}$

5t = 15

t = 15/5

t = 3 hours.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

#SPJ1

8 0

2 years ago

Please help me with this! I will rate you brainliest!!

lesya [120]

do 6x8.(theres two x's and two y's)

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3 years ago

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Amir is sorting his stamp collection. He has made a chart of what countries the stamps are from

natulia [17]

Answer:

Step-by-step explanation:

Given that Amir is sorting his stamp collection. He has made a chart of what countries the stamps are from

He got results as

France 1/3

Morocco 5/12

Spain 1/6

To find out what fraction of Amir's stamps are from France, Morocco, or Spain, we have to simply add the three as there is common element between any two pairs

Hence answer is

$\frac{1}{3} +\frac{5}{12} +\frac{1}{6}\\ =\frac{11}{12}$

8 0

3 years ago

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