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2 years ago

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The motives for developing calculus in the 1700s were: A. problems in physics. B. problems in biology. C. problems in psychology

. D. problems in computer science. E. problems in economics.

1 answer:

IRINA_888 [86]2 years ago

5 0

Answer:

the answer is A

Step-by-step explanation:

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The current of a river is 3 miles per hour. A boat travels to a point 176 miles upstream and 176 miles back in 19 hours. What is

serious [3.7K]

Answer:

If I am understanding your question, the total upstream is 8 miles and another 8 miles downstream.

Let s = the speed of the boat in still water

d = rt

8 = 5(s + 3) downstream

8 = 5s + 15 equation 1

8 = 5(s - 3) upstream

8 = 5s - 15 Add equation 1

8 = 5s + 15

16 = 10s Divide both sides by 10.

s = 16/10 = 8/5 = 1.6 mph

4 0

2 years ago

Working her way through school, Kathy works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Jo

trapecia [35]

Answer:

<u>Kathy worked 11 hours at job A and 12 hours at job B, the week she made US$ 146.70.</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Rate per hour of Job A = US$ 5.70

Rate per hour of Job B = US$ 7.00

Earnings received by Kathy during the week = US$ 146.70

Total time worked by Kathy during the week = 23 hours

Hours at job A = x

Hours at job B = 23 -x

2. Let's find how many hours Katy worked at each job:

This is the equation that we'll use:

5.70x + 7 (23 - x) = 146.70

5.70x + 161 - 7x = 146.70

- 1.3x = 146.70 - 161 (Subtracting 161 at both sides)

-1.3x = - 14.30

1.3x = 14.3 (Multiplying by - 1 at both sides)

x = 14.3/1.3 = 11 (Dividing by 1.3 at both sides)

<u>Kathy worked 11 hours at job A and 12 hours at job B.</u>

3. Proof of x = 11

5.70 x + 7 (23 - x) = 146.70

5.70 (11) + 7 (23 - 11) = 146.70

62.70 + 7 (12) = 146.70

62.70 + 84 = 146.70

146.70 = 146.70

<u>The value of x = 11 is correct.</u>

Note. I provided the same answer to question 13954115.

3 0

3 years ago

Which is a unit rate?

ss7ja [257]

Answer:

18 miles driven in a week

Step-by-step explanation:

a unit rate is x/1, x being 18 miles and 1 being 1 week

6 0

3 years ago

What is the solution of x+8/5x-1>0?

DerKrebs [107]

Answer:

x<-8 or x>1/5

Step-by-step explanation:

$\frac{x+8}{5x-1} >0$

First we replace > symbol by = sign

$\frac{x+8}{5x-1} =0$

To solve for x we multiply 5x-1 on both sides

x+8 =0

x=-8

5x-1=0 solve for x

x= 1/5

WE got two values x=-8 and x= 1/5

Now we make a number line and check with each interval

x<-8, -8<x<1/5, x>1/5

Pick x= -9 and check with the given inequality

$\frac{-9+8}{5(-9)-1} >0$

1/46 >0 is true, so x<-8 satisfies our inequality

Pick x= 0 and check with the given inequality

$\frac{0+8}{5(0)-1} >0$

-8 >0 is false , -8<x<1/5 does not satifies our inequality

Pick x= 2 and check with the given inequality

$\frac{2+8}{5(2)-1} >0$

10/9>0 is true , x>1/5 satisfies our inequality

3 0

3 years ago

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Evaluate: 10x when x=10<br> The answer is_______( just type in your final number answer)

Kisachek [45]

Answer:

100

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers