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3 years ago

Max read 100 pages in 2 h. Express this rate in the simplest fraction form.

Mathematics

1 answer:

Delicious77 [7]3 years ago

5 0

Answer:

50 pages per hour

Step-by-step explanation:

$\frac{100 pages}{2 hr} =\frac{50(2)}{1(2)} =\frac{50}{1} =50$

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On a spelling test, Marcy got 15% of the questions incorrect. If there were 40 questions on the spelling test, than how many que

marissa [1.9K]

Answer:

Step-by-step explanation:

Marcy got 15% of the 40 wrong

.15 *40

If she got 6 wrong, then she got the rest right

40-6 = 34

She got 34 right

4 0

2 years ago

For a certain drug, the rate of reaction in appropriate units is given by Upper R prime (t )equalsStartFraction 2 Over t plus 1

Tems11 [23]

Answer:

a) 8.13

b) 4.10

Step-by-step explanation:

Given the rate of reaction R'(t) = 2/t+1 + 1/√t+1

In order to get the total reaction R(t) to the drugs at this times, we need to first integrate the given function to get R(t)

On integrating R'(t)

∫ (2/t+1 + 1/√t+1)dt

In integration, k∫f'(x)/f(x) dx = 1/k ln(fx)+C where k is any constant.

∫ (2/t+1 + 1/√t+1)dt

= ∫ (2/t+1)dt+ ∫ (1/√t+1)dt

= 2∫ 1/t+1 dt +∫1/+(t+1)^1/2 dt

= 2ln(t+1) + 2(t+1)^1/2 + C

= 2ln(t+1) + 2√(t+1) + C

a) For total reactions from t = 1 to t = 12

When t = 1

R(1) = 2ln2 + 2√2

≈ 4.21

When t = 12

R(12) = 2ln13 + 2√13

≈ 12.34

R(12) - R(1) ≈ 12.34-4.21

≈ 8.13

Total reactions to the drugs over the period from t = 1 to t= 12 is approx 8.13.

b) For total reactions from t = 12 to t = 24

When t = 12

R(12) = 2ln13 + 2√13

≈ 12.34

When t = 24

R(24) = 2ln25 + 2√25

≈ 16.44

R(12) - R(1) ≈ 16.44-12.34

≈ 4.10

Total reactions to the drugs over the period from t = 12 to t= 24 is approx 4.10

3 0

2 years ago

Although she’s only in middle school, Tameka loves to drive go - carts! Her favorite place to drive go - carts, driver’s delight

slavikrds [6]

Answer:

Although she's only in middle school, Tameka loves to drive go-carts! Her favorite place to drive go-carts, Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.

a. Compute the circumference of Track 1.

b. Compute the circumference of Track 2.

Step-by-step explanation:

6 0

2 years ago

Help me wick show you work

expeople1 [14]

3 to 9 clouds are smiley faces Explaintion- hope it’s right

3 0

2 years ago

Read 2 more answers

The function y= -16t^2 +24t represents the height y (in feet) of a tennis ball bouncing straight up from the ground t seconds af

taurus [48]

We want to know the time, t, it takes the ball to reach a height (y) of 0.
$0=-16t^2+24t$
We can factor out the GCF first. The largest number that will divide evenly into 16 and 24 is 8. Also, both terms have a t, so we can factor that out as well:
$0=8t(-2t+3)$ (-16/8 = -2 and 24/8 = 3)
Using the zero product property, we know that either 8t=0 or -2t+3=0. Solving the first equation, we would divide both sides by 8:
8t/8=0/8
t=0
This is at 0 seconds, before the ball is in the air at all.
Solving the second equation, we start by subtracting 3 from both sides:
-2t+3-3=0-3
-2t=-3
Now we divide both sides by -2
-2t/-2=-3/-2
t=1.5
After 1.5 seconds, the ball will hit the ground again.

5 0

3 years ago