what is the radius of a hemisphere with a volume of 45729 in 3 , 45729 in 3 , to the nearest tenth of an inch?

The approximate distance between Earth and the Andromeda galaxy is 2,500,000 x 365 x 24 x 3,600 x 300,000 km.

To calculate the approximate distance between Earth and the Andromeda galaxy, you should use the given distance in light years, the number of days in a year, the speed of light, and the conversion from days to seconds. Here's the step-by-step explanation:

1. You know that the distance is 2.5 million light years or 2,500,000 light years.
2. One year has 365 days.
3. The speed of light is 300,000 km/second.
4. One day has 24 hours, and one hour has 3,600 seconds.

Now, you can calculate the distance:

Distance = (2,500,000 light years) x (365 days/year) x (24 hours/day) x (3,600 seconds/hour) x (300,000 km/second)
This matches option D.

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Answer:

3.5

Step-by-step explanation:

Answer:

2.5(x)/10 = 50/200

Step-by-step explanation:

hope that helps :)

So 50/200=0.25

therefore, x has to be divided by 10 and be equal to that number, so 2.5/10=0.25 but let's do it with steps

1) Simplify or combine like terms (in this case we need to simplify 50/200 which is 0.25)

2) To isolate x, do the opposite operation on BOTH SIDES.

x/10 ×10 cancels out the 10

x=0.25×10

x=2.5

Answer:

The mean is 128.7

There is no mode

The median is 9

The range is 11.5

Step-by-step explanation:

The coordinates of the triangle A'B'C' which is rotated 90° counterclockwise is  A' (-2,-3) ,  B' (-2,1) , and C' (2,-4).

When the points are rotated 90° counterclockwise then the new coordinates will be transformed to

      (x , y ) = (-y , x)

According to the question we have been the coordinates of the ΔABC which are :

  A = (-3,2)  ,  B = (1,2) and  C = (-4,-2)

When the triangle is rotated 90° counterclockwise the new coordinates will become

        A' = (-2,-3)

        B' = (-2,1)

        C' = (2,-4)

Hence the coordinates of the triangle A'B'C' which is rotated 90° counterclockwise is  A' (-2,-3) ,  B' (-2,1) , and C' (2,-4).

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To find the average rate of change of a function over an interval, we need to calculate the slope of the secant line connecting the points on the function at the two endpoints of the interval.

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. In the case of a secant line, we can calculate the slope by using the formula:

m = (y2 - y1) / (x2 - x1)

For the function y = x^2 + 4x - 1, we can plug in the values of x and y at the two endpoints of the interval, (-4 and 1), to find the slope of the secant line:

m = [(1)^2 + 4(1) - 1] - [(-4)^2 + 4(-4) - 1] / (1 - (-4))

Simplifying this expression, we get:

m = (1 + 4 - 1) - (16 + 16 - 1) / (-3)

This simplifies to:

m = -20 / -3

Therefore, the average rate of change of the function y = x^2 + 4x - 1 over the interval -4 ≤ x ≤ 1 is 6.5.

Answer: x=0 x=2i x=-2i

if your factoring: x(x^2+4)

Step-by-step explanation:

(if your solving for x)

\(x^{3} +4x\\x(x^{2} +4)\\\\x=0\\\\x=\frac{-b}{2a}\frac{+}{-} \frac{\sqrt{b^2-4ac}}{2a} \\\\x=\frac{0}{2}\frac{+}{-} \frac{\sqrt{0^2-16}}{2} \\x={0}}\frac{+}{-} \frac{\sqrt{-16}}{2} \\\)

\(x={0}}\frac{+}{-} \frac{4i}{2} \\\\\\x=\frac{+}{-}2i\)

To find the accurate area, Kevin should have used the value of π, which is approximately 3.14159.

In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

Kevin is incorrect because he multiplied the radius of the circle (4) by an incorrect value of "8" instead of using the correct value of π (pi). The formula for the area of a circle is A = πr^2, where r is the radius. By using the incorrect value of "8" instead of π, Kevin obtained an incorrect result for the area of the circle.

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Answer:

7/-6

Step-by-step explanation:

y2-y1/x2-x1

6--1/-2-4

6+1/-2-4

7/-6

Hope This Helps!!

A total of 3 elements of the list will be checked to find 25 using binary search.

The following list of sorted elements: {12, 13, 15, 20, 23, 24, 25, 36, 40} will be checked to find 25 using binary search.The binary search is a search algorithm that finds the position of a target value in a sorted array. The binary search method searches for the element by repeatedly dividing the search interval in half. We compare the target element with the middle element. If the target value is the same as the middle element, the search is completed. Otherwise, if the target value is less than the middle element, the search continues in the lower half of the array, else the search continues in the upper half of the array. So, to find the element 25 in the array, binary search will start at the midpoint of the array. Then it will compare the value 25 to the midpoint 20 and determine that the element must be in the upper half of the array. Binary search will then continue its search by dividing the upper half of the array in half, comparing the midpoint value 24 to the target value 25, and again determining that the target value must be in the upper half of this remaining subarray. The search continues in this manner, cutting the search interval in half on each iteration, until the target element is found or determined to be not in the array.

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To conduct a hypothesis test to determine if there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode, we can follow these steps:

1. Define the null hypothesis (H0) and alternative hypothesis (Ha):
  - Null hypothesis (H0): The true percentage of those in the first group who suffer a second episode is the same as the true percentage of those in the second group who suffer a second episode.
  - Alternative hypothesis (Ha): The true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode.

2. Determine the significance level: The significance level is given as 0.1, which means we need to find evidence that is strong enough to reject the null hypothesis with a 10% chance of making a Type I error (incorrectly rejecting a true null hypothesis).

3. Calculate the test statistic: We need to compare the observed proportions in both groups to determine if they are significantly different. The test statistic used for this situation is the z-test for comparing proportions.

4. Calculate the test statistic value: The formula for the z-test for comparing proportions is:
  - Test statistic value = (p1 - p2) / √((p * (1 - p)) * ((1/n1) + (1/n2)))
  - where p1 and p2 are the observed proportions of second episode occurrences in the first and second groups respectively, n1 and n2 are the sizes of the first and second groups respectively, and p is the pooled proportion calculated as (x1 + x2) / (n1 + n2), where x1 and x2 are the number of second episode occurrences in the first and second groups respectively.

5. Determine the critical value(s): The critical value(s) depend on the significance level and the type of test (one-tailed or two-tailed). Since the alternative hypothesis is two-tailed, we will find the critical values for a two-tailed test with a 0.1 significance level.

6. Compare the test statistic value with the critical value(s): If the absolute value of the test statistic value is greater than the critical value(s), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

7. Draw a conclusion: Based on the results of the hypothesis test, we can draw a conclusion regarding whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode.

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Answer:

m = 2

Step-by-step explanation:

3m / 4 = 12/8

6m / 8 = 12/8

48m = 96

m = 2

Hopefully this helped!

Brainliest please?

Step-by-step explanation:

Daily income = $350 ÷ 5 = $70

If they want to use all of the flour and sugar they have then they make 1 cake and 6 pies.

Now, we assume that:

Then by a linear equation, we have:

Multiplying equation (1) by 2 and equation (2) by 3, we get:

After solving this equation we obtain:

Hence, if they want to use all of the flour and sugar they have then they make 1 cake and 6 pies.

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Sample variance and standard deviation The sample variance and standard deviation for the data set 7.58, 14, 47, 33, 28, 30, 28, 26, and 27 are given below:

To find the sample variance, first, we need to calculate the mean of the data set.(7.58+14+47+33+28+30+28+26+27)/9 = 26.56Now, subtract the mean from each data value. These deviations are -18.98, -12.56, 20.44, 6.44, 1.44, 3.44, 1.44, -0.56, and 0.44.Then, square each of these deviations. The squared deviations are 360.4804, 157.7536, 417.7936, 41.4736, 2.0736, 11.8336, 2.0736, 0.3136, and 0.1936.

Sum the squared deviations and divide by n - 1, where n is the number of data values. (360.4804+157.7536+417.7936+41.4736+2.0736+11.8336+2.0736+0.3136+0.1936)/8 = 441.7. Therefore, the sample variance is 441.7/8 = 55.21.Now, to find the standard deviation, we simply take the square root of the variance. Standard deviation = sqrt(55.21) ≈ 7.43.So, the correct option is OB. SE.

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The solution to the system of equation graphed is (-1, -3)

Given the system of equations graphed on the plane expressed as:

f(x) = 3x

g(x) = 4x + 1

Equate

f(x) = g(x)

3x = 4x + 1

3x - 4x = 1

-x = 1

x = -1

Determine the value of y

y = 3x

y = 3(-1)

y = -3

Hence the solution to the system of equation graphed is (-1, -3)

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Answer:

4 or 7

Step-by-step explanation:

First job: 1 penny

Second job: Double the first one, 2*1, so 2

Third job: Double the second job, 2*2, so 4

On the third job you make 4 pennies. Overall you make 1+2+4=7. I'm not sure if you mean just the third job, or after the third job. I put both answers just in case.

To determine the payment for the third job, we need to find the payment for the second job, as the payment for the third job will be double that of the second job.

The payment for the first job is 1 penny. The payment for the second job will be double the payment for the first job, which is 2 pennies.

Therefore, the payment for the third job will be double the payment for the second job, which is 4 pennies.

This situation is an example of exponential growth, where the quantity being measured increases at a constant percentage rate with respect to time or some other independent variable.

Exponential growth is commonly seen in many real-world situations, such as population growth, compound interest, and the spread of diseases.

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Therefore, the Net Present Value(NPV) of extending credit for one month to a new customer ≈ $229.70.

To calculate the Net Present Value (NPV) of extending credit for one month to a new customer, we need to consider the cash flows associated with the transaction.

1. Calculate the cash inflow from the sale:

  Average Sale = $383

  Variable Cost = $260

  Gross Profit = Average Sale - Variable Cost = $383 - $260 = $123

2. Calculate the probability of default:

  Default Rate = 8% = 0.08

  The probability of not defaulting is given by:

  Probability of Not Defaulting = 1 - Default Rate = 1 - 0.08 = 0.92

3. Calculate the cash inflow from a repeat customer (assuming no default):

  Cash Inflow from Repeat Customer = Average Sale = $383

4. Calculate the cash inflow from a defaulting customer:

  Cash Inflow from Defaulting Customer = 0 (since defaulting customers do not pay their bills)

5. Calculate the expected cash inflow:

  Expected Cash Inflow = (Probability of Not Defaulting × Cash Inflow from Repeat Customer) + (Probability of Defaulting × Cash Inflow from Defaulting Customer)

                     = (0.92 × $383) + (0.08 × $0)

                     = $352.76

6. Calculate the Net Present Value (NPV):

  Monthly Required Return = 1.65% = 0.0165

  Number of days in a month = 30

  NPV = Expected Cash Inflow / (1 + Monthly Required Return)^(Number of days in a month)

      = $352.76 / (1 + 0.0165)^(30)

      ≈ $352.76 / (1.0165)^(30)

      ≈ $352.76 / 1.5342

      ≈ $229.70

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Answer:

87*0.5 = 43.5

43.5

Step-by-step explanation:

Answer:

84 feet

Step-by-step explanation:

4 inches× 7 inches=28inches

28 inches×3feet=84feet

When two numbers appear side by side, the number and number should be written together for clarity. The statement is true.

The term numeric expression consists of two words, number for a number and expression for a sentence. Therefore, it is a word containing numbers. Teaching mathematics is the combination of numbers and mixed numbers using mathematical operations such as addition, subtraction, division, or division. There are many number expressions such as word form and number form. Numerical expressions are mathematical expressions that contain only numbers and one or more operators.

Examples of symbol operations are addition, subtraction, multiplication, and division. It can be represented by a radical symbol (square root symbol) or a real value.

Equations consist of numbers and contain multiple digits. There is no limit to the number of operators a shared account can have. Some numbers use only one operator of the two numbers, while others may have more than one operator. The only requirement for a numeric expression is that it only contains a number and an operator. Some numbers have only one operator code others have two or more.

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a) So the solution to this equation is m = -6.  b) So the solution to this equation is m = -3. c) So the solution to this equation is t = -9.

Explanation:

a) To solve for m, we need to isolate the variable on one side of the equation.

First, we can subtract 4 from both sides:

3m + 4 - 4 = -14 - 4

3m = -18

Then, we can divide both sides by 3:

m = -6

So the solution to this equation is m = -6.

b) Similar to part a, we want to isolate the variable on one side of the equation.

First, we can subtract 4 from both sides:

-3m + 4 - 4 = 13 - 4

-3m = 9

Then, we can divide both sides by -3:

m = -3

So the solution to this equation is m = -3.

c) This equation has a decimal, but we can still solve it the same way as the others.

First, we can add 0.5 to both sides:

5t - 0.5 + 0.5 = -45.5 + 0.5

5t = -45

Then, we can divide both sides by 5:

t = -9

So the solution to this equation is t = -9.

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For every 3 squares, there are 5 total shapes. Therefore, the simplified ratio of squares to total shapes is 3 : 5.

If the unsimplified ratio of squares to total shapes is 6 : 16, then we can express this as 6/16, then,we can simplify this ratio by dividing both the numerator and denominator by 2, giving us 3/8.

This means that for every 3 squares, there are 5 total shapes. Therefore, the simplified ratio of squares to total shapes is 3 : 5.

Full question "Unsimplified ratio of squares to total shapes: 6 : 16. For every 3 squares, there are ____ total shapes; Therefore, the simplified ratio of squares to total shapes is __ : __.

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The answer is (d) 100, which is the expected frequency for each group.

To determine the expected frequency for each group under the assumption of a uniform distribution of opinions, we can use the formula:

Expected frequency = (total sample size) x (proportion of group in population)

The total sample size is 300, and the proportions of Democrats, Republicans, and Independents in the population are not given, so we cannot use those directly. However, if we assume that the population proportions are roughly the same as the sample proportions, we can estimate the expected frequencies as follows:

Expected frequency for Democrats = 300 x (100/300) = 100

Expected frequency for Republicans = 300 x (120/300) = 120

Expected frequency for Independents = 300 x (80/300) = 80

Therefore, the answer is (d) 100, which is the expected frequency for each group if the opinions of the individuals of the three groups are uniformly distributed.

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Answer:

x=133 y=-25

Step-by-step explanation:

I'll do both ways for you. So let's start with Substitution:

With the sub method, you have to set both equations equal to each other by setting them equal to the same variable. Since there is no coefficient in front of both x's in both equations, that variable will be easiest to solve for.

x + 2y = 83    &    x + 5y = 8

Solve for x.

x = 83 - 2y     &    x = 8 - 5y

Once you have solved for x, set each equation equal to one another and solve for y now.

83 - 2y = 8 - 5y

Isolate all variables to one side:

83 = 8 - 3y

Now subtract the 8 to fully isolate the y variable:

75 = -3y

Divide by -3:

-25 = y   Now that you have your first variable, plug it into one of the original equations and solve for x.

x + 2(-25) = 83

x - 50 = 83

x = 133

Now for the Elimination method. For this method you need to get rid of a variable by either subtracting/adding each equation together. Again, since you can subtract and x from both equations, you will be left with only the y variable to solve:

Put each equation on top of one another and subtract:

  x + 2y = 83

- (x + 5y = 8)

The x's will cancel out:

(x - x) + (2y - 5y) = (83 - 8)

Simplify:

-3y = 75

Solve for y

y = -25

Then, plug y = -25 into one of the original equations:

x + 5(-25) = 8

Solve for x:

x - 125 = 8

x = 133

Hope this helps!

To obtain the mixed number answer to 19 ÷ 6 from the whole-number-with-remainder answer, divide the numerator (19) by the denominator (6).

To find the mixed number answer to 19 ÷ 6, we divide 19 by 6. The whole-number quotient is obtained by dividing the numerator (19) by the denominator (6), which in this case is 3. This represents the whole number part of the mixed number answer, indicating how many complete groups of 6 are in 19. Next, we consider the remainder. The remainder is the difference between the dividend (19) and the product of the whole number quotient (3) and the divisor (6), which is 1. The remainder, 1, becomes the numerator of the fractional part of the mixed number.

This method makes sense because it aligns with the division process and provides a clear representation of the result. It shows the whole number part as the number of complete groups and the fractional part as the remaining portion. This representation is helpful in various real-world scenarios, such as dividing objects or quantities into equal groups or sharing items among a certain number of people.

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