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noname [10]
3 years ago
8

a fountain that is 5 feet tall sprays water into the air withan upward velocity of 22ft/s. What function gives the height h of t

he water in feet t seconds after it is sprayed upward? what is the maximum height of the water
Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Below is the solution:

<span>Equation:
h(t) = -16t^2+22t+5

</span><span>Max occurs when t = -b/2a = -22/(2*-16) = 11/16 seconds

</span><span>Max height = h(11/16) = 12.563 ft.</span>

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What is 1 4/7 as a improper fraction
Serhud [2]

Hello there,

To write an improper fraction you will have to divide whole number by denominator than add the numerator...

7 * 1 = 7

7 + 4 = 11

The denominator stays the same...

11/7


Answer: 11/7


Hope I helped!!

-Char

3 0
3 years ago
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On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte
statuscvo [17]

Answer:

Option 4.

Step-by-step explanation:

The vertex form of a parabola is

g(x)=a(x-h)^2+k                    ... (1)

where, a is a constant (h,k) is vertex.

The given function is

f(x)=x^2

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).

It is given that the vertex of function g(x) is at (5,2).

Substitute h=5 and k=2 in equation.

g(x)=a(x-5)^2+2

g(x) is passes through (3, 6).

6=a(3-5)^2+2             .... (2)

6-2=4a

4=4a

Divide both sides by 4.

a=1

Substitute a=1 in equation (2).

g(x)=1(x-5)^2+2

g(x)=(x-5)^2+2

The function g(x) is g(x)=(x-5)^2+2.

Therefor, the correct option is 4.

3 0
2 years ago
Read 2 more answers
Line segment Z E is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the a
ladessa [460]

Answer:

C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

Step-by-step explanation:

The center of insribed circle into the triangle is the point where the angle bisectors of the triangle meet.

The center of circumsribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.

Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides, so the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle. Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

5 0
2 years ago
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The equation y = 155x + 110, 419 approximates the total cost in dollars, of raising a child in the United States from birth to 1
faust18 [17]

Answer: Third option.

Step-by-step explanation:

According to the information given in the exercise, you can find an approximation of the the total cost in dollars of raising a child in the United States ( from birth to 17 years) given a household's annual income, with the following equation:

y = 1.55x + 110, 419

Where "x" represents the household's annual income in dollars.

Therefore, if the annual income is $62,500; you can identify that:

x=62 ,500

Then, in order to calculat the approximated cost to raise a child in a household with that annual income given in the exercise, you need to substitute that value of "x" into the equation and then you must evaluate in order to find the value of "y".

Through this procedure you get the following result:

y = 1.55(62 ,500) + 110, 419\\\\y=96,875+ 110, 419\\\\y=207,294

6 0
2 years ago
The army bus has 12 seats on one side. Two soldiers can sit in each seat. If five seats are reserved for equipment, how many bus
marissa [1.9K]

Answer:

<u>80 buses</u> will be required for 1120 soldiers.

Step-by-step explanation:

Given:

Number of seats on One side = 12 seats.

Now Given:

five seats are reserved for equipment.

So we can say that;

Number of seats used by soldiers = 12-5=7\ seats

Number of soldiers on Each seat =2

So we will now find number of soldiers on each bus.

number of soldiers on each bus is equal to Number of seats used by soldiers multiplied by Number of soldiers on Each seat.

framing in equation form we get;

number of soldiers on each bus = 7\times2 = 14\ soldiers

Now we know that;

For 14 soldiers = 1 bus

So 1120 soldiers = Number of buses required for 1120 soldiers.

By Using Unitary method we get;

Number of buses required for 1120 soldiers = \frac{1120}{14} =80

Hence <u>80 buses</u> will be required for 1120 soldiers.

3 0
3 years ago
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