Mathematics College

2.   An earthquake was felt throughout a circular area of 1,808.64 square miles. What was the radius of the circular area? 

       A. 24 miles   B. 12 miles   C. 576 miles   D. 20 miles

Answers

Answer 1

Answer:

A. 24 miles

Step-by-step explanation:

Using 3.14 for π, we have ...

... Area = πr^2

... √(Area/π) = r = √(1808.64/3.14) = √576 = 24 . . . . miles

Answer 2

Answer:

its 24 miles so the correct answer would be A

Step-by-step explanation:


Related Questions

a hiker walks 12 miles north. then she walks 9 miles west. What is the shortest distance the hiker can travel to return tonher starting point

Answers

If we were to draw the distance walked, it would be the "legs"  of a right triangle. So, to determine the return distance we calculate the hypotenuse which equals:
hypotenuse^2 = 12^2 + 9^2 = 225 return distance = 15 miles.

A bag of rice weights 3.18 lbs find its mass in kilograms

Answers

[tex]\bf \begin{array}{ccll} lbs&kgs\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2.2&1\\ 3.18&k \end{array}\implies \cfrac{2.2}{3.18}=\cfrac{1}{k}\implies k=\cfrac{3.18\cdot 1}{2.2}[/tex]

what is the positive solution to the equation 0=⅓x²-3

Answers

Add 3, multiply by 3, and take the positive square root.
  3 = (1/3)x²
  9 = x²
  √9 = 3 = x

The positive solution to the equation is x = 3.

1. Assume you buy 100 shares of stock at a price of $63.75 per share and incur brokerage fees of $200. You own the stock for 5 years and receive dividends of 50 cents per share at the end of each quarter. Immediately after receiving the 20th quarterly dividend, you sell the stock at a price of $48.63 per share and incur brokerage fees of $200. Calculate your rate of return. (IRR)

2. You own a thriving restaurant but want to change careers. Your brother offers to buy the business with the following monthly payments: $2,750 at the end of each month for 4 years, followed by $3,000 at the end of each month for 3 years. Assuming that you can earn 9% compounded monthly, what is the equivalent cash price of your brother’s offer? (NPV)

Answers

1. Your cash flow is as follows.
  initial outlay: $63.75*100 +200.00 = $6575
  quarterly dividend: $0.50*100 = $50 . . . for 19 quarters
  income from sale: $48.63*100 -200.00 +50.00 = $4713
A suitable financial calculator computes the IRR as -3.23% per year.


2. Your cash flow is as follows.
  initial income/outlay: 0
  monthly income: $2750 . . . for 48 months
  monthly income: $3000 . . . for 36 months
  applicable interest rate: .09/12 = 0.0075 . . . per month
A suitable financial calculator computes the NPV as $176,415.70.

James bought $175 in accessories for his video game console. He spent $15 on a new power cord and the rest of his money on 5 new video games. Each video game cost the same amount. Write two equations you could use to find the cost of each video game.

Answers

Hello!

I believe two equations you can make to represent the question are...

(175-15)/5
and
5x+15=175

The first equation, (175-15)/5, makes you subtract 15 from 175 to get 160. You'll then divide 160 by 5 to get 32.

The second equation, 5x+15=175, makes you subtract 15 from 15 and 175, so you'll equation will look like this...
5x=160
You'll then divide 5x and 160 by 5 to get x=32.

So for both equations, you'll get an answer of 32.

I hope this helps!

The solution is, two equations are: (175-15)/5 and, 5x+15=175

the cost of each video game is 32.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, we have,

two equations we can make to represent the question are...

(175-15)/5

and

5x+15=175

The first equation, (175-15)/5, makes you subtract 15 from 175 to get 160. You'll then divide 160 by 5 to get 32.

The second equation, 5x+15=175, makes you subtract 15 from 15 and 175, so you'll equation will look like this...

5x=160

You'll then divide 5x and 160 by 5 to get x=32.

So for both equations, we'll get an answer of 32.

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In general, the y-intercept of the function F(x)=a•b^x is the point what????

Answers

F(0) = a

The y-intercept is the point (0, a).

draw 8 lines that are between 1inch and 3 inches long

Answers

This is not something we can really help you with, you'll have to do on your own paper. Just get a ruler and draw 8 different lines that measure 1-3 inches.

ABC Bookstore sells new books according to the demand function P = -Q + 25, where P is the price and Q is the quantity. If the bookstore charges $18 for a new book, how many new books can the store expect to sell?

Answers

P = -Q + 2518 = -Q + 2518-25 = -Q-7 = -Q-7/-1 = -Q/-1Q = 7
Therefore, the store can expect to sell 7 new books if they will charge $18 for the new books. 

Answer:

P = -Q + 2518 = -Q + 2518-25 = -Q-7 = -Q-7/-1 = -Q/-1Q = 7

Therefore, the store can expect to sell 7 new books if they will charge $18 for the new books.



A survey was conducted at Springdale High to find the number of hours students sleep at night. The histogram shows the data collected in this survey. Which statement about the number of hours students sleep is true? Seventeen students sleep between 6 and 8 hours at night. Seventeen students sleep for 6 hours at night. Ten students sleep for 4 hours at night. Six students sleep between 2 and 4 hours at night. Four students sleep for 10 hours at night.

Answers

17 students sleep between 6 and 8

Hey can you please help me posted picture of question

Answers

If you observe, the graph of G(x) is first reflected along x-axis and then shifted down by 3 units to obtain F(x).

Reflection along x-axis can be obtained by multiplying the function by -1.

So, G(x) reflected along x-axis will be: - x²

Next the function is shifted down by 3 units. So this can be obtained by subtracting 3 from the function.

So, we can write 

F(x) = -x² - 3

Thus, option C is the correct answer

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. –2y2 + 6y = –2

–0.61, 6.61

–0.3, 3.3

–3.3, 0.3

–11.5, 14.5

Answers

For this case we have the following equation:
 -2y2 + 6y = -2
 Rewriting we have:
 -2y2 + 6y + 2 = 0
 Using the quadratic formula we have:
 x = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a)
 Substituting values:
 x = (- (6) +/- root ((6) ^ 2 - 4 * (- 2) * (2))) / (2 * (- 2))
 Rewriting:
 x = (- 6 +/- root (36 + 16)) / (- 4)
 x = (- 6 +/- root (52)) / (- 4)
 x = (- 6 +/- root (4 * 13)) / (- 4)
 x = (- 6 +/- 2 * root (13)) / (- 4)
 x = (- 3 +/- root (13)) / (- 2)
 The roots are:
 x1 = (- 3 - root (13)) / (- 2)
 x2 = (- 3 + root (13)) / (- 2)
 Rewriting:
 x1 = -0.3
 x2 = 3.3
 Answer:
 –0.3, 3.3

What is the value of x, if 105% of 90 is equal to 200% of x?

Answers

x = 47.25 because 105/200 equals 0.525. 0.525 times 90 equals 47.25

From the given equation

105% * 90 = 200% * x

105/100 * 90 = 200/100 * x

105*90 = 200*x

x = 105*90/200

X = 21*9/4

X = 189/4

x = 47.25

Value of x = 47.25 or 47 1/4

The scale factor of the dilation of figure ABCD is

Answers

D' = (-2, 0) = 2*(-1, 0) = 2*D

The scale factor is 2.

Aisha wants to make two quilts, each with the same area. The first quilt will be square with sides s feet long. The second quilt will be a rectangle with a width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt. Which quadratic equation can be used to find s, the side length of the square quilt?
s^2 =(1/2s) (s + 6)
s^2 = (s)(s + 6)
s^2 =(1/2s) (6s)
s^2 = (s)(6s)

Answers

Sides of a square shape = S

Then, Area (A) = S^2

Width of rectangular shape = S/2
Length of rectangular shape = S+6

Then, Area (A) = (1/2S)(S+6)

The two area are equal. Therefore,
S^2 = (1/2S)(S+6)

The first option is the correct quadratic equation to solve for S.

Answer:

Option 1 - [tex]s^2=(\frac{1}{2}s)(s+6)[/tex]

Step-by-step explanation:

Given : Aisha wants to make two quilts, each with the same area. The first quilt will be square with sides s feet long. The second quilt will be a rectangle with a width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt.

To find : Which quadratic equation can be used to find s, the side length of the square quilt?

Solution :

The first quilt will be square,

Let the side of square be s

The area of the square is [tex]A=s\times s[/tex]

The second quilt will be a rectangle,

A width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt.

Width of the rectangle = [tex]\frac{1}{2}s[/tex]

Length of the rectangle = s+6

Area of the rectangle is [tex]A=(\frac{1}{2}s) \times (s+6)[/tex]

According to question,

Area of square and rectangle are equal,

So, [tex]s\times s=(\frac{1}{2}s) \times (s+6)[/tex]

[tex]s^2=(\frac{1}{2}s)(s+6)[/tex]

Therefore, Option 1 is correct.

The required equation is [tex]s^2=(\frac{1}{2}s)(s+6)[/tex]

During the first stages of an epidemic, the number of sick people increases exponentially with time. Suppose that at = 0 days there are 2 people sick. By the time = 3, 40 people are sick. a) Let be the number of sick people at time . Find an exponential equation = expressing in terms of .



b) How many people will be sick by the time = 6?

Answers

t = days passed

r = rate of growth

by 0 day, or t = 0, there are 2 folks sick,

[tex]\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\to &2\\ P=\textit{initial amount}\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\to &0\\ \end{cases} \\\\\\ 2=P(1+r)^0\implies 2=P\cdot 1\implies 2=P\qquad \boxed{A=2(1+r)^t}[/tex]

 by the third day, t = 3, there are 40 folks sick,

[tex]\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\to &40\\ P=\textit{initial amount}\to &2\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\to &3\\ \end{cases} \\\\\\ 40=2(1+r)^3\implies 20=(1+r)^3\implies \sqrt[3]{20}=1+r \\\\\\ \sqrt[3]{20}-1=r\implies 1.7\approx r\qquad \boxed{A=2(2.7)^t}[/tex]

how many folks are there sick by t = 6?   [tex]\bf \stackrel{that~many}{A=2(2.7)^6}[/tex]

Complete the equation of the line whose slope is − 2 and y-intercept is ( 0 , 3 )

Answers

Y-3= -2(x-0)

This is the equation in slope point form.

In a string of 100 christmas lights, there is
a.015 chance that a given bulb will fail within the first year of use (if one bulb fails, it does not affect the others). find the approximate probability that six or more bulbs will fail within the first year. (round your answer to 4 decimal places.) probability

Answers

We want to find [tex]\mathbb P(X\ge6)[/tex], where [tex]X[/tex] is a binomial distribution with [tex]n=100[/tex] and [tex]p=0.015[/tex]. So

[tex]\mathbb P(X\ge6)=1-\mathbb P(X<6)=1-\displaystyle\sum_{x=0}^5\binom{100}x0.015^x(1-0.015)^{100-x}\approx0.0041[/tex]

The approximate probability that six or more bulbs will fail within the first year is approximately 0.1461, rounded to four decimal places.

To find the approximate probability that six or more bulbs will fail within the first year, we can use the binomial probability formula:

P(X ≥ k) = 1 - P(X < k)

where:

P(X ≥ k) is the probability of getting "k" or more successes (bulbs failing).

P(X < k) is the probability of getting less than "k" successes (bulbs failing).

In this case, "k" is 6 (six or more bulbs failing), and the probability of a bulb failing in the first year is 0.015.

Now, let's calculate the probability of getting less than six failures (k < 6):

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

Using the binomial probability formula:

P(X = k) = C(n, k) *[tex]p^k * (1 - p)^{n - k}[/tex]

where:

C(n, k) is the binomial coefficient (n choose k).

n is the number of trials (total bulbs, which is 100 in this case).

p is the probability of success (a bulb failing, which is 0.015).

k is the number of successes (bulbs failing).

Now, calculate P(X < 6):

P(X = 0) = C(100, 0) * 0.015⁰ * (1 - 0.015)^(100 - 0)

P(X = 1) = C(100, 1) * 0.015¹ * (1 - 0.015)^(100 - 1)

P(X = 2) = C(100, 2) * 0.015² * (1 - 0.015)^(100 - 2)

P(X = 3) = C(100, 3) * 0.015³ * (1 - 0.015)^(100 - 3)

P(X = 4) = C(100, 4) * 0.015⁴ * (1 - 0.015)^(100 - 4)

P(X = 5) = C(100, 5) * 0.015⁵ * (1 - 0.015)^(100 - 5)

After calculating each term, add them up:

P(X < 6) ≈ 0.8539

Now, find the probability of getting six or more failures:

P(X ≥ 6) = 1 - P(X < 6)

P(X ≥ 6) ≈ 1 - 0.8539 ≈ 0.1461

So, the approximate probability that six or more bulbs will fail within the first year is approximately 0.1461, rounded to four decimal places.

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If a body moves in a straight line according to the law s = 24t + 3t2 - t3 , where s is the distance measured in meters from the origin and t is the time in seconds after it starts to move, calculate the body's velocity as a function of time. A. V = 30t - t2 B. V = 24 + 6t - 3t2 C. V = 24 + 3t - t2 D. V = 30t - 3t2

Answers

Remember that the velocity as a function of time is the derivative of the position as a function of time. 
To solve this we are going to take the derivative of our position function [tex]s=24t+3t^2-t^3[/tex]. To do that er are going to apply the power rule of calculus: [tex] \frac{dy}{dx} x^n=nx^{n-1}[/tex]

[tex] \frac{dy}{dx} 24t+\frac{dy}{dx}3t^2-\frac{dy}{dx}t^3[/tex]
[tex]24+2(3)t-3t^2[/tex]
[tex]v=24+6t-3t^2[/tex]

We can conclude that the correct answer is: B. V = 24 + 6t - 3t2

Get Brainliest if you answer What was Hammurabi's most important achievement as the ruler of Babylon? A. He built extensive canals, which carried water to many parts of his kingdom. B. He established permanent armies, which he used to control his empire. C. He appointed governors to rule over conquered cities. D. He was responsible for a codification of laws that influenced later societies.

Answers

Thee answer would be D

Answer:

Its D

Step-by-step explanation:

I did the quiz

if you change the sign of a point’s x -coordinate from positive to negative, how will the location of the point change?

Answers

the complete question in the attached figure

we know that
If you add a negative to the x-coordinate of a point, then the point will move to another quadrant
example
if the point is on the first quadrant
then 
the point will move to the second quadrant

if the point is on the fourth quadrant
then 
the point will move to the third quadrant

in both cases the y-coordinate remains the same
hence

the answer is
The point will cross over the y-axis

Answer:

The point will cross over the y-axis

Step-by-step explanation:

Hope it help because i Just Answer the same question and got it before i come on Brainly

The area of an artist's square canvas can hold 113 square inches of paint. What is the approximate length of one side of the canvas? (Approximate to the nearest hundredth inch.)
10.62 inches
10.63 inches
10.64 inches
10.65 inches

Answers

10.63

You'll need a calculator to find this exactly. 

Answer:

The approximate length of one side of the canvas is 10.63 inches

Step-by-step explanation:

Given :The area of an artist's square canvas can hold 113 square inches of paint.

To Find :What is the approximate length of one side of the canvas?

Solution:

Canvas is in the shape of square

Area of square = [tex]Side^2[/tex]

Let the side of the canvas be x

Area of canvas = [tex]x^2[/tex]

Since we are given that The area of an artist's square canvas can hold 113 square inches

So,  [tex]113=x^2[/tex]

[tex]\sqrt{113}=x[/tex]

[tex]10.630=x[/tex]

So, the approximate length of one side of the canvas is 10.63 inches

Hence Option B is correct.

circle the fraction in the set with the least value 4/3 5/5 4/4 1/2 1/1

Answers

when looking at fractions if the top number ( numerator) is larger then the bottom number ( denominator) the value of the fraction is greater than 1

if both the top and bottom numbers are the same, the fraction equals 1

if the top number is smaller than the bottom number then the fraction is less than 1
 so with the fractions you have:

4/3 ( 4 is larger than 3 so this is greater than 1)
5/5 ( 5 = 5, so this = 1 )
4/4 ( 4=4, so this = 1)
1/2 ( 1 is smaller than 2 so this is less than 1)
1/1 ( 1 =1 so this = 1)

since 1/2 is less than 1, this is the fraction with the least value


The radius of a cone can be found using the formula r=3⁢Vπ⁢h , where V stands for the volume of the cone and h stands for the height. If r=3 , h=8 , and π is 3.14, find the volume (V). Round the answer to the nearest hundredths place.

Answers

The right expression for r is give as follows:

r = Sqrt [(3V)/(πh)]

Making the V the subject of the formula
r^2 = (3V)/(πh)
V = πr^2h/3

Substituting,
V= 3.14*3^2*8/3 = 75.36 sq. units

Using the formula for the radius of a cone and the given values of r = 3, h = 8, and [tex]\pi[/tex] = 3.14, the volume of the cone is calculated to be approximately 25.12 [tex]cm^3[/tex].

To find the volume V of a cone, we need to solve for V in the given formula [tex]\( r = \frac{3V}{\pi h} \). With \( r = 3 \),[/tex]  h = 8, and  [tex]\pi = 3.14[/tex], let's proceed as follows:

Rearrange the Formula

1. Given that [tex]\( r = \frac{3V}{\pi h} \)[/tex], isolate V to get:

 [tex]\[ V = \frac{r \cdot \pi \cdot h}{3} \][/tex]

2. Using r=3, h=8, and [tex]\( \pi = 3.14 \)[/tex]:

 [tex]\[ V = \frac{3 \cdot 3.14 \cdot 8}{3} \][/tex]

3. Simplify and solve:

[tex]\[ V = 3.14 \cdot 8 \approx 25.12 \][/tex]

Rounding to the nearest hundredths place, the value for the volume V is approximately 25.12 cubic units.

Han has 410,000 in a retirement accounts that earns 15,785 each year find the simple interest rate for this investment

Answers

the simple interest rate on this investment is.0385 or 3.85%:
Interest = principle * rate * time
I=prt
r=I/(pt)=15785/(410,000*1)= .0385

The simple interest rate on this investment is.0385 or 3.85%:

What is Simple Interest?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given:

Han has 410,000 in a retirement accounts that earns 15,785 each year.

Using Simple Interest

Interest = principle x rate x time / 100

Rate = Interest / ( principle x time )

Rate = 15785/(410,000x1)

Rate = 0.0385

Rate= 3.85 %

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What is the quotient when 0.75 is divided by 5?

Answers

0.15
(its just 0.75 ÷ 5)
What I got was: 0.75÷5=0.15

two cylindrical candles have a scale factor of 3:5. The larger candle has a volume of 40(3.14) cubic inches. Fund the volume of thel the smaller candle. Write your answer in term of (3.14)

Answers


[tex]5 = 40\pi \\ 3 =( (40 \div 5) \times 3)\pi \\ = 24\pi[/tex]

The volume of the smaller candle is 8.64π cubic inches.

How to find the volume

The volume of a cylinder is given by the formula

V = π r² h,

where

r is the radius and

h is the height.

The scale factor is given as 3:5, which means the ratio of the volumes is (3³ : 5³)

Using the ratio, let volume of the the smaller candle. be x

3³ : 5³

x  :  40π

cross multiply

x = 40π * 3³ / 5³

x = 40π * 27 / 125

x = 8.64π cubic inches.

which expression defines the given series for seven terms? -13 + (-16) + (-19) +...

Answers


[tex] - 13 + ( - 3) = - 16 \\ - 16 + ( - 3) = - 19 \\ - 19 + ( - 3) = - 22 \\ - 22 + ( - 3) = - 25[/tex]
you have to plus (-3) for each numbers

Answer:

[tex]a_n =-3n-10[/tex]

Step-by-step explanation:

-13 + (-16) + (-19) +...

Difference between two terms = -3

-16 -(-13)= -3

-19 -(-16)= -3

Common difference is a constant so it is arithmatic

[tex]a_n = a_1+(n-1)d[/tex]

where 'd' is the difference = -3

a1 is the first term that is -13

[tex]a_n = -13+(n-1)(-3)[/tex]

[tex]a_n = -13-3n+3[/tex]

Combine like terms

[tex]a_n =-3n-10[/tex]

Adair had 6 1/2 cups of tomato juice. He used 4/5 of the juice to make soup. How many cups of tomato juice did Adair use to make soup?

Answers

Adair used 4/5 of 6 1/2 cups of tomato juice. To figure out this amount, we must multiply 4/5 by 6 1/2.

However, first we must convert 6 1/2 from a mixed number to an improper fraction to simplify the multiplication process. To do this, we have to multiply the whole number (6) by the denominator (2) and then add the numerator (1).

6*2=12, 12+1=13. Therefore, 6 1/2 = 13/2.

Now, we must multiply 4/5 by 13/2 to figure out how much tomato juice Adair used. To do this, we must multiply the two numerators and the two denominators together and simplify the resulting fraction.

4/5 * 13/2 = 4*13/5*2=52/10

To simplify 52/10, we must find the GCF, or greatest common factor of 52 and 10, which is 2.

52/2 = 26, 10/2 = 5, 52/10 = 26/5.

Therefore, Adair used 26/5, or 5 1/5 cups of tomato juice in his soup.

Hope this helps!
Final answer:

To find how many cups of tomato juice Adair used to make soup, we multiply the fraction representing the portion of tomato juice used (4/5) by the total amount of tomato juice Adair had (6 1/2 cups). The answer is 5 1/5 cups.

Explanation:

To find how many cups of tomato juice Adair used to make soup, we need to multiply the fraction representing the portion of tomato juice used (4/5) by the total amount of tomato juice Adair had (6 1/2 cups). First, we can convert 6 1/2 cups to an improper fraction: 6 1/2 = 13/2 cups. Next, we multiply the fractions: 4/5 * 13/2 = 52/10 = 5 2/10 = 5 1/5 cups.

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9.
Leola Hain purchases 220 shares of Circuit City stock at $42.75 per share.

Find the annual dividend if the dividend per share is $0.0625.

$43

$55

$9,460

$9,405

Answers

42.75 + 0.0625*220 = 56.5

$55 is the answer

If there are 4 math​ courses, 3 psychology​ courses, and 5 english courses offered in​ non-overlapping times so that you could select one of each for your​ schedule, how many different schedules would be​ possible?

Answers


[tex]4 \times 3 \times 5 = 60[/tex]

Answer:

there are many different answers that is because there are four different ways to answer this one question.

Step-by-step explanation:

4*3*5=60

4-+5+3=12

1) 435 2) 435 3) 435

Other Questions
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