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2 years ago

8. A person throws a ball as high as he can and it reaches a height of 25

Mathematics

1 answer:

tino4ka555 [31]2 years ago

7 0

Answer:

B (The vertex is 2 seconds to go 25 feet high)

Step-by-step explanation:

First, keep in mind that the x-axis represents seconds since the ball was thrown and the y-axis represents its height in feet. Also that the zeros are (0,0) and (4,0) as they represent how many seconds have to pass after the ball is thrown for it to have a height of 0 feet.

You can start by ruling out D because the y intercept is actually (0,0) as the ball hasn't traveled any distance since you haven't thrown it yet.

You can also rule out choice C as the roots are supposed to be x-values (time when the ball's height is 0). In this case, a y-value appears to be a root, which doesn't make sense.

The ball reaching a height of 25 feet implies that 25 is the y coordinate of the vertex. When you average the x-coordinates of both the zeros (0,0) and (4,0),

you find out that the x-coordinate of the vertex is 2. This means 2 seconds.

In the end, this means that the ball takes 2 seconds to reach 25 feet.

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At sea level, earths atmosphere exerts a pressure of 1 atmosphere. Atmospheric pressure P (in atmospheres) decreases with altitu

PtichkaEL [24]

Answer:

Initial Amount=1

Decay Factor=0.99987

Decay Rate=0.013%

Step-by-step explanation:

If P = 0.99987ᵃ

I. Initial amount

The initial amount is when a=0

P = 0.99987⁰ = 1

The Pressure at Sea Level=1

II. Decay factor

This is like the decay constant. From the model, P = 0.99987ᵃ, the decay constant/factor is 0.99987.

III. Decay Rate = 1-0.99987 = 0.00013

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3 years ago

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Hey I really need help on this question please

Dmitry_Shevchenko [17]

A circle’s standard form of an equation is:
(x-h)^2 + (y-k)^2 = radius^2

Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.

So now you have:
(x+4)^2 + (y-2)^2 = radius^2

So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.

The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.

Plug that in and you get:
(x+4)^2 + (y-2)^2 = 29

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2 years ago

What is the quotient of 2 3/4 and 5 1/2?

Juli2301 [7.4K]

Answer:

1/2

Step-by-step explanation:

This can be done several ways. Perhaps the easiest is to use the decimal equivalents:

(2 3/4)/(5 1/2) = 2.75/5.5 = 0.5

If you want to use the numbers given, the usual procedure is to convert them to improper fractions and do the division that way:

2 3/4 = (4·2 +3)/4 = 11/4

5 1/2 = (2·5 +1)/2 = 11/2

Now, the problem can be written as ...

(2 3/4) / (5 1/2) = (11/4) / (11/2)

This sort of division problem can be solved two ways:

<u>invert and multiply</u> (the denominator is inverted)

= (11/4) × (2/11) = (11·2)/(11·4) = 2/4 = 1/2

<u>use a common denominator</u> (for the two fractions)

= (11/4) / (11/2) = (11/4) / (22/4) = 11/22 = 1/2

The quotient is 1/2.

_____

<em>Additional comments</em>

It is helpful in many cases to just use decimal equivalents for the calculation. To do that, you need to be familiar with the equivalents of commonly used fractions. I find it is usually sufficient to know the unit fractions in each case. Then you can multiply or add to find the others.

1/9 = 0.1...(1-digit repeat), 1/8 = 0.125, 1/7 = 0.142857...(6-digit repeat), 1/6 = 0.16...(1-digit repeat), 1/5 = 0.2, 1/4 = 0.25, 1/3 = 0.3...(1-digit repeat), 1/2 = 0.5

I learned the "invert and multiply" method for dividing fractions when I was in school. The Common Core math apparently also teaches the method of matching the denominators of a compound fraction. Then the result is the ratio of numerators. (A variation not taught is that you can match the numerators and use the inverse of the ratio of denominators. Both of these methods can be validated using the "invert and multiply" method. (11/4)/(11/2) = 2/4)

"Invert and multiply" is another way of saying that division is the same as multiplication by the reciprocal. This applies everywhere, not just in fraction problems.

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3 years ago

Jeremy bought a new pair of jeans. The jeans regulary cost $30, but they are on sale for 10 percent off. There is a 6 percent sa

diamong [38]

Step-by-step explanation:

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%D=10%=%D=D/M.p×100

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3 years ago

What is the solution to the equation 9(w – 4) – 7w = 5(3w – 2)?

Yuliya22 [10]

Answer:

W= -2

Step-by-step explanation:

Simply the expression: 9(w – 4) – 7w = 5(3w – 2)

First step: 9w -36-7w = 15w-10

Second step: 2w-36=15w-10

Third step:-36+10=15w-2w

Fourth step:-26=13w

Fifth step: w= $\frac{-26}{13}$

Six step: w=-2

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3 years ago

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