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lesya [120]
3 years ago
11

Write 3,507.25 in expanded form

Mathematics
1 answer:
jekas [21]3 years ago
5 0

Answer:

3000+500+7+0.20×0.05

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After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th
lubasha [3.4K]

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

h=-16t^{2}+64t+3

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

-16t^{2}+64t+3=0

The formula to solve a quadratic equation of the form

at^{2} +bt+c=0 is equal to

t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^{2}+64t+3=0  

so

a=-16\\b=64\\c=3

substitute in the formula  

t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}

t=\frac{-64(+/-)\sqrt{4,288}} {-32}

t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec  ---> the time cannot be a negative number

t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec

therefore

The ball will take 4.05 seconds to hit the ground.

4 0
3 years ago
Is 9.465 an irrational number
Sunny_sXe [5.5K]

Answer:

yes is a 9.465 an irrational number

Step-by-step explanation:

7 0
4 years ago
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What equation is represented by this graph?
Mademuasel [1]

Answer:

y= 1.2x+1

Step-by-step explanation:

(0,1) and (-5,-5) are coordinates that you already know and are fs about. So you just see rise over run. 6/5 = 1.2 which is your slope. the y-int is 1 bc thats where it intersects. so your equation is y=1.2x+1

double check:

y = 1.2(-5) + 1

y = -6 + 1

y = -5

coordinates : (-5,-5)

5 0
3 years ago
aron is reading a graph of equivalent ratios. If one of the ratios is represented as (6, 2), which could be another ratio? (1, 3
Usimov [2.4K]

Answer

(3,1)

Explanation

(6,2) is the same as (3,1) because the x value and y value are proportional, meaning you multiplied or divided both the x value and y value by the same number.

6 divided by 2 is 3.

2 divided by 2 is 1.

(1,3) doesn't work because the x value and y value are switched.

6 divided by 6 is 1.

2 divided by 6 is not 3.

(8,12) doesn't work because the x value and y value are switched... and it wouldn't work anyways.

6 divided by 3/4 is 8.

2 divided by 3/4 is not 2.

(12,8) doesn't work because the x value and y value aren't proportional.

12 divided by 2 is 6.

8 divided by 2 is not 6.

Therefore only (3,1) could be another ratio to (6,2).

3 0
3 years ago
Alice is paying her bill at a restaurant. The tax on the cost of her meal is 5%. She decides to leave a tip of 20% of the cost o
iogann1982 [59]
M* .20 + m * 1.05 =
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3 years ago
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