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Elden [556K]
3 years ago
9

A horse galloped at a rate of 42 mph at this rate what is the closest to the number of meters that the horse for travel in a sec

ond
Mathematics
1 answer:
a_sh-v [17]3 years ago
6 0
Convert miles/hour to meters/second: 42mi/hr(0.447) = 18.77m/sec
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Determine whether the improper integral converges or diverges, and find the value of each that converges.
Vanyuwa [196]

Answer:

The integral diverges

Step-by-step explanation:

Consider the integral from 0 to infinity of

xe^{4x}

We can do this in parts

\int {xe^{4x} } \, dx =\int {x} \, d(e^{4x})/4\\ = x/4 e^{4x}-e^{4x}/16

When we substitute limits infinity we find that the values become infinity

Hence the integral diverges

The given improper integral diverges

8 0
3 years ago
How to find compound rate from given values, 10 years after, and initial
dybincka [34]

The formula that calculates the compound rate from the given values is r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})

<h3>How to determine the compound interest rate?</h3>

The compound interest formula is:

I = P(1 + \frac rn)^{nt} - P

Where:

  • P represents the principal amount
  • r represents the compound interest rate
  • n represents the number of times the interest is compounded
  • t represents the time in years
  • I represents the interest

We start by adding P to both sides

P + I = P(1 + \frac rn)^{nt}

Divide through by P

\frac{P + I}{P} = (1 + \frac rn)^{nt}

Take the nt-th root of both sides

\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn

Subtract 1 from both sides

-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn

Multiply through by n

r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})

In this case, t = 10

So, we have:

r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})

Hence, the formula that calculates the compound rate is r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})

Read more about compound interest at:

brainly.com/question/13155407

#SPJ1

3 0
2 years ago
Leslie cuánto de interés ganara Leslie sí presta 5000 durante tres años con el interés simple anual de 5%
alisha [4.7K]

Answer:

lokókà

haha

Step-by-step explanation:

góbôńìkásó

4 0
3 years ago
Read 2 more answers
Is it true that a triangle sometimes has exactly one acute angle?
alex41 [277]
No
if it has 1 acute angle, then the other 2 must be more than 90 each in other words, the other 2 angles must be over 180

all angles add to 180 no more

so no is answer
3 0
3 years ago
Which of the following expressions has a coefficient of 10 and a constant of 5?
Darya [45]

Answer:

C)

Step-by-step explanation:

Constant means there is no variable attached to the number.

Coefficient means there is a variable attached to the number.

6 0
2 years ago
Read 2 more answers
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