MATHEMATICS HIGH SCHOOL

Olivia runs 15 miles in 3 hours how many miles will she run in 8 hours if she stays the same rate

Answers

Answer 1

Answer:

Answer:

Olivia will run 40 miles in 8 hours if she maintains the same rate.

Step-by-step explanation:

If Olivia runs 15 miles in 3 hours at a constant rate, we can find her rate of running:

Rate = Distance / Time

Rate = 15 miles / 3 hours

Rate = 5 miles per hour

Now, we can use this rate to calculate how many miles Olivia will run in 8 hours:

Distance = Rate × Time

Distance = 5 miles/hour × 8 hours

Distance = 40 miles

Olivia will run 40 miles in 8 hours if she maintains the same rate.

Answer 2

Answer:

Answer:

If Olivia stays running at the same rate, She will run 40 miles in 8 hours.

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Answer:

To begin this problem we call "the sum of the number" x. Now we have the equation 2(x)+5=20. This is the answer because it said to translate the equation. I think 2x+5+20 would be the correct translation.

Negative six over seven minus three over five ( symplify)

Answers

-6/(7-3/5)=-6/(4/5)=-6 times 5/4= -30/4= -15/2 final answer.

Normal distribution models what type of variable?Question 12 options:

random continuous variable

discrete random variable

discrete continuous variable

random variable

Answers

Answer:

Random continuous variable.

Step-by-step explanation:

Its a random continuous variable.

It is a continuous curve in the shape of a bell.

Mike is looking for a loan. He is willing to pay no more than an effective rate of 8.000% annually. Which, if any, of the following loans meet Mike’s criteria?Loan X: 7.815% nominal rate, compounded semiannually
Loan Y: 7.724% nominal rate, compounded monthly
Loan Z: 7.698% nominal rate, compounded weekly
a. Y only
b. X and Z
c. Y and Z
d. None of these meet Mike’s criteria.

Answers

Answer:

b. X and Z

Step-by-step explanation:

Since, the effective annual rate is,

$i_a=(1+(r)/(m))^m-1$

Where r is the nominal rate per period,

m is the number of periods in a year,

For loan X,

r = 7.815 % = 0.07815

m = 2,

Thus, the effective annual rate,

$i_a=(1+(0.07815)/(2))^2-1$

$=(1+0.039075)^2-1$

$=1.07967685563-1=0.07967685563=7.967685563\% \approx 7.968\%$

Since, 7.968\% < 8.000 %

Thus, Loan X meets his criteria.

For loan Y,

r = 7.724%= 0.07724

m = 12,

Thus, the effective annual rate,

$i_a=(1+(0.07724)/(12))^(12)-1$

$=(1.00643666667)^(12)-1$

$=1.08003395186-1=0.08003395186=8.003395186\% \approx 8.003\%$

Since, 8.003 > 8.000 %

Thus, Loan Y does not meet his criteria.

For loan Z,

r = 7.698% = 0.07698

m = 52,

Thus, the effective annual rate,

$i_a=(1+(0.07698)/(52))^(52)-1$

$=(1.00148038462)^(52)-1$

$=1.07995899887-1=07995899887=7.995899887\% \approx 7.996\%$

Since, 7.996 % < 8.000 %

Thus, Loan Zmeets his criteria.

Hence, option 'b' is correct.

Answer:

X and Z

Step-by-step explanation:

In the diagram, point O is the center of the circle and mADB = 43°. If mAOB = mBOC, what is mBDC?A) 45°
B) 43°
C) 41°
D) 37°
E) 33°

Answers

The answer is B) 43°
Angle ADB is an inscribed angle which means arc AB has an angle twice that of angle ADB. The angle of the arc would be the same as that of the central angle AOB. So, mAOB = 86°. And since, mAOB = mBOC, then mBOC = 86° and arc BC has a measure of 86° as well. Angle BDC intercepts the arc BC which means half of the angle of arc BC is mBDC. So, mBDC = 43°.

It is B 43. This is correct for sure.

Write the definition of a function absoluteValue, that receives an integer parameter and returns the absolute value of the parameter's value. So, if the parameter's value is 7 or 803 or 141 the function returns 7, 803 or 141 respectively. But if the parameter's value is -22 or -57, the function returns 22 or 57 (same magnitude but a positive instead of a negative). And if the parameter's value is 0, the function returns 0.

Answers

Answer:

Step-by-step explanation:

The value absolute is the function $|*|: \mathbb{R}\rightarrow \mathbb{R}^+$ defined by $|x|= x$ if $x$ is a positive number and $|x|=-x$ if $x$ is a negative number.

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