In △ABC, G is the centroid and BE = 21. Find BG and GE.

Answer:

9 dollars

Step-by-step explanation:

let x be per mile

the equation for solving this would be 0.5x + 3(flat fee)=amount you have to pay

The x is 12 since you have to go 12 miles

0.5(12)+3=amount you have to pay

6+3=amount you have to pay

$9=mount you have to pay

Answer:

24

Step-by-step explanation:

Add 15 to 12 which is 27 then subtract 3 from 27 which gives you 24

Answer:

it's 24

Step-by-step explanation:

first add up the 12 and 15 that equals 27 now subtract 3 that's going to be 24

Answer:

n= -5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-n is -5

pls mark brainliest

If a number cube is rolled 25 times and 6 appears only four times, then the experimental probability of getting 6 is 4/25.

The experimental probability of an event happening is the number of times the event occurred divided by the total number of trials. In this case, a number cube is rolled 25 times and lands on 6 four times. Here are the steps to determine the experimental probability of landing on 6:

So, the experimental probability of landing on 6 is 4/25, which means that if we roll the number cube many more times, we would expect to get a 6 approximately 4 out of every 25 rolls.

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Answer:

infinite if you say that you have to find 2 or 3 solution so we can find by putting x value like 0 ,2,1 or also you can put y value

Answer:

24

Step-by-step explanation:

Makr me brainliest

A transformation is said to be not rigid because the segments is preserved.

A transformation is a function that maps one set of points to another set of points. There are different types of transformations, including translation, rotation, reflection, dilation, and combinations of these. Each type of transformation preserves certain properties of the shape or object.

The properties that are preserved during a transformation depend on the type of transformation

Similarly, a rotation is a transformation that rotates a shape or an object around a fixed point. During a rotation, the distance between any two points on the shape or object is preserved, but the direction may change. A reflection is a transformation that flips a shape or an object across a line. During a reflection, the distance between any two points on the shape or object is preserved, but the orientation may change.

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1. nonrigid

2. segment lengths are not

Answer:

\(\frac{2\sqrt{29} }{29}\)  last one

Step-by-step explanation:

let me know if u need steps

Step-by-step explanation:

hypoteneuse^2 = 6^2 + 15^2 = 36 + 225

h^2 = 261

h = 16.15

cos v = 6/16.15

The correct answer is D.

The variable of time that could cause a student’s GPA to increase is studying.

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Sample Space (S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

To illustrate all possible outcomes of tossing a dime 3 times, we can create a tree diagram. We'll represent a Head as "H" and a Tail as "T".

Here's the tree diagram:

         H

      /     \

  H       T

 /  \    /  \

H    T  H    T

         T

      /     \

  H       T

 /  \    /  \

H    T  H    T

Using the tree diagram, we can write out the sample space as a set of all possible outcomes:

Sample Space (S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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The hospital must cut the number of overtime hours by approximately 2.91% in order to stay within budget.

To determine the required percentage reduction in overtime hours, we need to consider the impact of the nurses' hourly rate increase and the limited budget increase for overtime wages.

Let's assume the current budget for nurses' overtime wages is denoted by B, and the total number of overtime hours worked is denoted by H. The current overtime rate per hour is R.

With the 5% hourly rate increase, the new overtime rate per hour becomes 1.05R. Considering the limited budget increase of 3%, the new budget for overtime wages is 1.03B.

To calculate the required percentage reduction in overtime hours, we can set up the following equation:

(1.05R) * (1 - x) * H = 1.03B

where x represents the required percentage reduction in overtime hours.

Simplifying the equation, we have:

(1 - x) * H = (1.03B) / (1.05R)

Now, let's solve for x:

1 - x = (1.03B) / (1.05R * H)

x = 1 - [(1.03B) / (1.05R * H)]

Here, we can see that the required percentage reduction in overtime hours, represented by x, depends on the values of B, R, and H.

It's important to note that without knowing the specific values of B, R, and H, we cannot calculate the exact percentage reduction. However, based on the provided information, we can determine the maximum percentage reduction that the hospital must make to stay within budget.

By assuming that B, R, and H are constant, we can use the given constraints to calculate an approximate percentage reduction. Based on the constraints of a 3% budget increase and a 5% hourly rate increase, the hospital would need to reduce the number of overtime hours by approximately 2.91% to maintain a balanced budget.

Please keep in mind that this approximation may vary depending on the specific values of B, R, and H.

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It is approximately equal to 0.1111

=================================

To get this answer, we use the rule

\(x^{-k} = \frac{1}{x^k}\)

The negative exponent tells us to apply the reciprocal to get the exponent to be positive.

So,

\((-3)^{-2} = \frac{1}{(-3)^2}\\\\(-3)^{-2} = \frac{1}{9}\)

Squaring -3 means you square the negative as well

\((-3)^2 = (-3)*(-3) = 9\)

Answer:

1/9

Step-by-step explanation:

(-3)^-2 would be better written as (-3)^(-2).

                                                                                       1

(-3)^(-2) would be easier to evaluate if written as -------------

                                                                                   (-3)^2

The final answer is 1/9.

Answer:

x=-37/3

y=-22/3

Step-by-step explanation:

-2x+2y=10 (1)

2x-5y=12 (2)

(1)+(2) <=> -3y=22

Answer:

Elimination method is good enough

Answer:

A square market has sides that are 23 meters long. What is the markets perimeter

Answer:148,035,889

i multiplied it 4 times so dont count that answer right

Answer:

176 + 5x = 651

Step-by-step explanation:

the parts are 176, the guy works for 5 hours and the total is 651. the hourly cost is the unknown so 176 + 5x = 651.

hope this helps

Answer:

x=95

Step-by-step explanation:

The equation to solve this would be 651=176+5x. The first step would to subtract 176 on both sides of the equation. 651-176=176-176+5x. That equals 475=5x. Now, to isolate the variable, divide both sides of the equation by 5. 475/5=5x/5 That gives you 95=x. The cost of labor per hour is $95.

Answer:

1/2.

Step-by-step explanation:

The inclination of the line to the x axis = 1/3*√3

= √3/3.

This is the tangent of the angle.

The sine of the angle =√3/hypotenuse.

The hypotenuse = √( √3)^2 + 3^2)    (By the Pythagoras theorem)

= √12

= 2√3

Therefore the required sine is  √3/  2√3

= 1/2.

I think that's what you want!!

Answer:

63 miles

Step-by-step explanation:

Bonnie ran a total of 18 miles over the course of 2 track practices. How many miles would Bonnie have run after 7 track practices?

2 track practices = 18 miles

7 track practices = y miles

Cross Multiply

2 track practices × y miles = 18 miles × 7 track practices

y miles = 18 miles × 7 track practices/ 2 track practices

y miles = 63 miles.

Therefore, Bonnie will have run 63 miles after 7 track practices

Answer:

Dilation of 2

Step-by-step explanation:

Note that \(SR=2\) and \(S'R'=4\).

The scale factor is defined as the ratio of the length of the side of the image to the length of the corresponding side of the preimage.

So, the scale factor is \(\frac{4}{2}=2\).

Answer: 25

Step-by-step explanation:

375/15=25

Answer:

D

Step-by-step explanation:

Stocks represent ownership in companies. Anyone can purchase publicly traded stock shares.

Answer:

h(-3) = -5

Step-by-step explanation:

Replace a with -3 and simplify.

h(-3) = 2(-3) + 1

h(-3) = -6 + 1

h(-3) = -5

No, The equation 3(5x + 4) can have infinite solution.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

When both the equations are parallel and not coincident, then that system of linear equations have no solutions as there is no common point on both line.

If they are coincident, then there will have infinite solution since in that case, they have infinite points in common.

Here the expression 3(5x + 4) needs to be simplified.

So first we multiply 5x by 3;

So 3 x 5x = 15x

Then we multiply 4 by 3;

3 x 4 = 12

Then Put those together we get 15x + 12

So since 15x - 12, the x variable can be any number.

Hence, the equation  3(5x + 4) can have infinite solution.

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The complete question is

Is 3(5x+4) a one solution, no solution or infinite solutions?

Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

Step-by-step explanation:

answer is 37%73and the 2 is 85%$ 46h

Answer:

6/8

Step-by-step explanation:

3/4 if we further multiply we get 6/8

The answer are: a. Total outflows: $2,007,901, b. Total inflows: $827,080, c. Net present value: $824,179, d. Should the old issue be refunded with new debt? Yes

To determine whether the old bond issue should be refunded with new debt, we need to calculate the present value of total outflows, the present value of total inflows, and the net present value (NPV). Let's calculate each of these values step by step: Calculate the present value of total outflows. The total outflows consist of the call premium, underwriting cost on the old issue, and underwriting cost on the new issue. Since these costs are one-time payments, we can calculate their present value using the formula: PV = Cash Flow / (1 + r)^t, where PV is the present value, Cash Flow is the cash payment, r is the discount rate, and t is the time period.

Call premium on the old issue: PV_call = (7% of $22 million) / (1 + 0.1)^16, Underwriting cost on the old issue: PV_underwriting_old = $530,000 / (1 + 0.1)^16, Underwriting cost on the new issue: PV_underwriting_new = $680,000 / (1 + 0.1)^16. Total present value of outflows: PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. Calculate the present value of total inflows. The total inflows consist of the interest savings and the tax savings resulting from the interest expense deduction. Since these cash flows occur annually, we can calculate their present value using the formula: PV = CF * [1 - (1 + r)^(-t)] / r, where CF is the cash flow, r is the discount rate, and t is the time period.

Interest savings: CF_interest = (12% - 10%) * $22 million, Tax savings: CF_tax = (40% * interest expense * tax rate) * [1 - (1 + r)^(-t)] / r. Total present value of inflows: PV_inflows = CF_interest + CF_tax.  Calculate the net present value (NPV). NPV = PV_inflows - PV_outflows Determine whether the old issue should be refunded with new debt. If NPV is positive, it indicates that the present value of inflows exceeds the present value of outflows, meaning the company would benefit from refunding the old issue with new debt. If NPV is negative, it suggests that the company should not proceed with the refunding.

Now let's calculate these values: PV_call = (0.07 * $22,000,000) / (1 + 0.1)^16, PV_underwriting_old = $530,000 / (1 + 0.1)^16, PV_underwriting_new = $680,000 / (1 + 0.1)^16, PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. CF_interest = (0.12 - 0.1) * $22,000,000, CF_tax = (0.4 * interest expense * 0.4) * [1 - (1 + 0.1)^(-16)] / 0.1, PV_inflows = CF_interest + CF_tax. NPV = PV_inflows - PV_outflows.  If NPV is positive, the old issue should be refunded with new debt. If NPV is negative, it should not.

Performing the calculations (rounded to the nearest whole dollar): PV_call ≈ $1,708,085, PV_underwriting_old ≈ $130,892, PV_underwriting_new ≈ $168,924, PV_outflows ≈ $2,007,901,

CF_interest ≈ $440,000, CF_tax ≈ $387,080, PV_inflows ≈ $827,080.  NPV ≈ $824,179.  Since NPV is positive ($824,179), the net present value suggests that the old bond issue should be refunded with new debt.

Therefore, the answers are:

a. Total outflows: $2,007,901

b. Total inflows: $827,080

c. Net present value: $824,179

d. Should the old issue be refunded with new debt? Yes

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The difference of the polynomials \(2x^2\) - 9x + 8 and \(6x^2\) - 5x - 12 is -\(4x^2\) - 4x 20

The first polynomial is given that

\(2x^2\) - 9x + 8

The second polynomial is

\(6x^2\) - 5x - 12

Here we have to find the difference, to find that we need to subtract the second polynomial from the second polynomial

Then,
\(2x^2\) - 9x + 8 - ( \(6x^2\) - 5x - 12 )

Open the bracket using the distributive property

\(2x^2\) - 9x + 8 - \(6x^2\) + 5x +12

Combine the like terms

\(2x^2\) -  \(6x^2\)  -9x +5x + 8 +12

Apply the arithmetic operations on like terms

-\(4x^2\) - 4x 20

Hence, the difference of the polynomials \(2x^2\) - 9x + 8 and \(6x^2\) - 5x - 12  is   -\(4x^2\) - 4x 20

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