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lions [1.4K]
3 years ago
14

Find each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase

or a decrease.
1. 15 yards to 18 yards
Mathematics
2 answers:
Alexxandr [17]3 years ago
8 0
Percent of change is 20% rounded
KATRIN_1 [288]3 years ago
7 0

Answer:

Percent of change: 20% (rounded) It is an increase

Step-by-step explanation:

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Amanda reads 15 pages of her 150 page book in 2 hours at this rate how long will it take her to read the entire book
Crazy boy [7]
Ratio and proportion 15 pages/2hours=150 pages/x hours cross multiply 15x= 300 x-20 it will take Amanda 20 hours to read the entire book
3 0
4 years ago
The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f
Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

h(t)=-16t^{2}+25t+5

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

so

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

h(t)=-16(t^{2}-\frac{25}{16}t)+5

Complete the square

h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}

h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}

Rewrite as perfect squares

h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}

The vertex is the point (\frac{25}{32},\frac{945}{64})

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}

16(t-\frac{25}{32})^{2}=\frac{945}{64}

(t-\frac{25}{32})^{2}=\frac{945}{1,024}

square root both sides

(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}

t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}

the positive value is

t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec

8 0
3 years ago
F(x) = 4x2 – 7x + 7<br> Find f (7)
Colt1911 [192]

Answer:

4×2÷8

so 8+7=15

=7x=15

so,x=15/7

5 0
3 years ago
Read 2 more answers
If you do 12 minutes of a 45 minute workout how many calories is it? (the 45 minutes is 1000 calories in total)
velikii [3]

Answer:

266\frac{2}{3}

Step-by-step explanation:

if a 45 minute workout is 1000 calories, at the same rate, a 12 minute workout would be 266 calories and 2 thirds. \frac{12}{45} x 1000 = 266\frac{2}{3}

7 0
2 years ago
How much money do you have if you have 3 one-dollar bills, 2 half dollars, 5 quarters, 6 dimes, 2 nickels, and one penny.
Advocard [28]

Answer:

$5.91

Step-by-step explanation:

3+2*0.50+5*0.25+6*0.10+2*0.05+0.01=$5.91

7 0
4 years ago
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