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o-na [289]
3 years ago
14

Water is pouring into a container at a rate given by ri = t^3(gallons/hour), and water is pouring out of the same container at a

rate given by ro(t) = e^t(gallons/hour). If there are 100 gallons of water at time t = 0, how many gallons of water will be in the container at t=4 hours?
Mathematics
1 answer:
Reptile [31]3 years ago
5 0
There are 400 you have to multiply
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An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa
Setler [38]

Answer:

b=0.5 in

b=2 in

Step-by-step explanation:

we know that

The perimeter of triangle is equal to

2a+b=15

Solve for a

a=\frac{15-b}{2} -----> equation A

Applying the Triangle Inequality Theorem

a+a > b

2a > b -----> inequality B

<u>Verify each case</u>

case 1) b=-2 in

This value not make sense, the length side cannot be a negative number

case 2) b=0 in

This value not make sense

case 3) b=0.5 in

substitute the value of b in the equation A and solve for a

a=\frac{15-0.5}{2}=7.25\ in

substitute the values of b and  a in the inequality B

2a > b

2(7.25) > 0.5

14.50 > 0.5 -----> is  true

therefore

b=0.5 in  make sense for possible values of b

case 4) b=2 in

substitute the value of b in the equation A and solve for a

a=\frac{15-2}{2}=6.5\ in

substitute the values of b and  a in the inequality B

2a > b

2(6.5) > 2

13 > 2 -----> is true

therefore

b=2 in  make sense for possible values of b

case 5) b=7.9 in

substitute the value of b in the equation A and solve for a

a=\frac{15-7.9}{2}=3.55\ in

substitute the values of b and  a in the inequality B

2a > b

2(3.55) >7.9

7.1 > 7.9 -----> is not true

therefore

b=7.9 in  not make sense for possible values of b

5 0
3 years ago
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Billy ate 5/4 pizzas and John ate 5/3 pizzas. How much more pizza did John eat than Billy?
zaharov [31]

Answer:

Step-by-step explanation:

5/12

7 0
2 years ago
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Points A B C D and E are collinear and in that order. Find AC if AE=x+50 and CE=x+32
Lana71 [14]

Answer:

18

Step-by-step explanation:

Points A B C D and E are collinear.

\therefore AE = AC + CE\\\therefore AC = AE - CE\\\therefore AC = x + 50 - (x + 32) \\\therefore AC = x + 50 - x - 32 \\\therefore AC =  50 - 32 \\ \huge \red{ \boxed{\therefore AC = 18}}

3 0
3 years ago
Nina purchased a meal for $24. She left a 20% tip. How much was the tip?
k0ka [10]

Answer:

She left a $4.80 tip.

6 0
2 years ago
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Marco made 2 errors in solving the following inequality. Identify the mistakes and correctly solve.
seraphim [82]

Answer:

Step-by-step explanation:

When moving -18 to the other side, he didn’t do 20 + 18. (Mistake 1)

When dividing 2/-4 he didn’t flip the inequality from > to <. (Mistake 2)

Correct:

-18-4y

7 0
2 years ago
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