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3 years ago

A train goes at a constant speed. If it covers 150 miles in 2 1/2 hours,

Mathematics

1 answer:

emmasim [6.3K]3 years ago

6 0

Answer:

120 miles

Step-by-step explanation:

if you represent 2 1/2 hours in 5 sections of 30 minute and devide 150 by 5 you get 30 so the train is traviling 1 mile per minute so just subtract 30 and you get 120

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PLEASE HELP ATTACHED BELOW

ddd [48]

I’m not sure but i think it is 126 pi IM SORRY IF IM WRONGGGGG

6 0

3 years ago

Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x

BaLLatris [955]

Answer:

The area of the region is 25,351 $units^2$ .

Step-by-step explanation:

The Fundamental Theorem of Calculus: if $f$ is a continuous function on $[a,b]$ , then

$\int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) | {_a^b}$

where $F$ is an antiderivative of $f$ .

A function $F$ is an antiderivative of the function $f$ if

$F^{'}(x)=f(x)$

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function $x^5 + 8x^4 + 2x^2 + 5x + 15$ and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

$\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx$

$\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2$

3 0

3 years ago

How do you solve number 29? Please step by step

trapecia [35]

Answer:

a) Junnie walked farther than Maurice

b) Junnie walked .62 miles farther than Maurice

Step-by-step explanation: Because speed times time equals distance, to find how far each person traveled you multiply their speed and time.

Distance=speed×time

Junnie:

2.5hrs×3.2mph=8 miles

Maurice:

1.8hrs×4.1mph=7.38 miles

8-7.38=.62 (the difference between the two)

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3 years ago

What is the largest square factor of 49896

alexira [117]

Answer:

The biggest factor of 49896 is 24948

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3 years ago

During the day, the temperature in Nome, Alaska rose 35°. The low temperature for the day was −22°F. What was the high temperatu

Marysya12 [62]

For this one add 35 to the -22 degrees. So the equation is 35+(-22) which would equal 13 degrees F for a high.

5 0

3 years ago