If the area of ​​the isosceles triangle in the figure is 128 cm2
, find the value of x.

Answer:

907

Step-by-step explanation:

Circumference = 34pi

radius, r = 34pi/2pi = 17

Area, A = pi r^2 = pi (17^2) = 289pi=907 approximately

A household with a credit score of 525 will pay $9,256.00 more than a household with a credit score of 675.

According to my findings, a household with a credit score of 525 will pay $9,256.00 more compared to a household with a credit score of 675.

Mortgage lenders typically charge higher interest rates to individuals with lower credit scores than to those with higher credit scores.

So, if you have a poor credit score, you'll have to pay more for your mortgage than if you had a strong credit score.

You can use the following data to calculate how much more a household with a credit score of 525 will pay compared to a household with a credit score of 675.

The total cost of a $200,000, 30-year fixed-rate mortgage with a 525 credit score and a 4.5% interest rate is $446,668.

The total cost of a $200,000, 30-year fixed-rate mortgage with a 675 credit score and a 3.1% interest rate is $437,412.A household with a credit score of 525 will pay $9,256.00 more than a household with a credit score of 675.

The answer is $9,256.00.

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Answer:

y= 6/5x+7

Step-by-step explanation:

y=6/5x+7 will hit (-5, 1) and will always be parallel to y=6/5x+7/5

Answer:

x-2

hope it helps

Answer: The answer I got is 44.2178 so it can be either 44.21 or .22

Step-by-step explanation:

I don't know but I'll tell you as soon as I find out

Answer: 5000

Step-by-step explanation:

To find y′(9) by implicit differentiation given x*y = 9 and y(9) = 36: Differentiating both sides of the equation x*y = 9 with respect to x:
  - Apply the product rule for differentiation, which is (u*v)' = u'*v + u*v'.
    Here, u = x and v = y, so the equation becomes:
    (x*y)' = x'*y + x*y'
Replacing x' and y' with dx/dx and dy/dx, respectively:
  - Since x' = dx/dx = 1, the equation becomes:
    1*y + x*(dy/dx) = 0
Solving for dy/dx:
  - Rearrange the equation to isolate dy/dx:
    dy/dx = -y/x

Substitute x = 9 and y = 36:
  - According to the given information, y(9) = 36, so when x = 9, y = 36.
    Substitute these values into the equation:
    y'(9) = -36/9
Simplify the result:
  - y'(9) = -4

So, y′(9) = -4.

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The solution of the initial-value problem for the separable differential equation y' = ³x +2y, y (0) = 4 is

y = 4e^(3/2)x²+2xy+3.

To solve the initial-value problem for the separable differential equation, y' = ³x +2y, y (0) = 4, we follow these steps;

First, we want to rewrite the given equation using the separation of variables. Therefore, we have

y' = ³x +2ydy/dx

³x +2y dy = (³x +2y)dx

To solve the above equation, we integrate both sides concerning their variables as shown below;`

∫dy/y = ∫(3x + 2y)dx`

ln|y| = (3/2)x² + 2xy + C, where C is the constant of integration.

Next, we exponentiate both sides to eliminate the natural logarithm, as shown;

|y| = e^(3/2)x²+2xy+C

Evaluate the constant using the initial condition y (0) = 4. Therefore, we have;

|4| = e^(3/2)(0)²+2(0)(4)+C

4 = 1 + C

C = 3

Thus, the general solution of the differential equation is;

y = ±e^(3/2)x²+2xy+3

We can now use the initial condition to obtain the particular solution. If we use the positive root, we have;

y(0) = 4

y(0)= 4/e^(3/2)(0)²+2(0)(4)+3

y'(0) = 4/e^(3/2)

Thus, the solution is; y = 4e^(3/2)x²+2xy+3. Therefore, the solution of the initial-value problem for the separable differential equation y' = ³x +2y y (0) = 4 is y = 4e^(3/2)x²+2xy+3.

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Answer:

2/10 is the an

Step-by-step explanation:

Mark would need a total of 824 feet of fencing to surround all four rectangular gardens.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

To calculate the total length of fencing Mark needs to surround all four gardens, we first need to determine the perimeter of one rectangular garden.

The perimeter of a rectangle is given by the formula:

P = 2l + 2w,

where P is the perimeter, l is the length, and w is the width.

For one rectangular garden with a length of 60 feet and a width of 43 feet, the perimeter would be:

P = 2(60) + 2(43) = 120 + 86 = 206 feet.

Therefore, to surround all four gardens, Mark would need a total of:

4 x 206 feet = 824 feet of fencing.

Thus,

Mark would need a total of 824 feet of fencing to surround all four rectangular gardens.

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The complete question:

Mark wants to fence 4 rectangular gardens, each with a length of 60 feet and a width of 43 feet. What is the total length of fencing Mark need to

surround all 4 gardens?

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

Explanation:

The -1 and -7 of x-1 and x-7 respectively multiply to (-1)*(-7) = 7

Let m be some unknown value such that 7m = -21. The solution is m = -3

This means (-1)*(-7)*(-3) = -21

Therefore the factorization is

\(\text{x}^3-11\text{x}^2+31\text{x}-21 = (\text{x}-1)(\text{x}-7)(\text{x}-3)\)

You can confirm this by expanding out the right hand side using the distributive rule. You should arrive at the original cubic after everything is simplified.

--------------

Another approach:

(x-1) and (x-7) are the two dimensions given to us.

They multiply to \(\text{x}^2-8\text{x}+7\) using either the box method, distributive rule, or FOIL rule. Feel free to pick your favorite method.

Then the task from here is to compute \(\frac{\text{x}^3-11\text{x}^2+31\text{x}-21}{\text{x}^2-8\text{x}+7}\) using polynomial long division. Unfortunately synthetic division will not work because the denominator isn't linear.

The polynomial long division is shown below.

Answer:

white sold = 16

yellow sold = 12

Step-by-step explanation:

w = # of white sold

y = # of yellow sold

w + y = 28   solve this for w

w = 28 - y

9.95w + 13.5y = 321.20     substitute w = 28-y into this expression and solve for y

9.95(28-y) + 13.5y = 321.20

278.60 - 9.95y + 13.50y = 321.20

278.60 + 3.55y = 321.20

3.55y = 321.20 - 278.60 = 42.60

y = 42.60/3.55 = 12   substitute this into w = 28 - y and solve for w

w = 28 - 12 = 16

The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

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Given:

The equation is,

Explanation:

Simplify the equation for y.

So answer is, -2w + 10

Answer:

Step-by-step explanation:

The percentage obtained from the pie chart for different colors are Blue =29%, Green = 25%, Yellow = 24%, & Pink = 22%.

As per the results of the survey, Blue color received 29% votes so it must be chosen as the new color for receiving majority votes but as the other three colors also received almost similar percentage of votes. So, the manufacturer must do more research in order to reach on any conclusion.

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The value of X in the Venn diagram that shows information about the genres of films would be = 26

To determine the value of X, the two variables that are mutually exclusive shows that both of them cannot occur the same time.

That is to solve for X the formula that should be used would be ;

n ( F ∪ R) = n(F) + n(R) – n ( F ∩ R)

Where nF= x-12

nR = 7x

n ( F ∪ R)= 2x-1

n ( F ∩ R) = 5x-15

2x-1 = x-12+7x-5x-15

Bring like terms together;

2x-x-7x+5x= 1-15-12

-x = -26

X= 26

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Answer:

I think it would be a curtain holder correct me if I’m wrong or got it wrong

Step-by-step explanation:

Answer:

1/8 will be 0.125 as a decimal so that is greater than 0.12! so it will be this \(1.8 \geq 0.12\)

Answer:

Step-by-step explanation:

4. 1/8   > 0.12

5. -6/7  < -5/6

6. 3/10 + (-7/10) = -4/10= -2/5

7. -4/9 - 1/9 = -5/9

Answer: That is a fraction. As an improper fraction, it's 17/6.

Step-by-step explanation:

Answer:

Now, 2 5/6 is a mixed fraction. To convert a mixed fraction to an improper fraction, we have to calculate (2 + 5/6). 2 + 5/6 = (12 + 5) / 6 = 17/6. Hence, 2 5/6 as a fraction is equal to 17/6.

Answer:

option 4

Step-by-step explanation:

y = 4x-3

y = 4(1)-3

y = 1

y = 4(3)-3

y = 9

y = 4(5)-3

y = 17

y = 4(7)-3

y = 25

If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.

To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)ᴺ

In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.

Using the formula:

Future Value = \(\$10,000 * (1 + 0.04)^6\)

Future Value = \(\$10,000 * (1.04)^6\)

Future Value = $10,000 * 1.1265319

Future Value ≈ $12,653.19

Therefore, the amount will be approximately $12,653.19. Option b is correct.

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6x54= 324

6x50=300

6x4=24

300+24=324

The previous nearest cube root is 216 and the next cube root would be 343.

p/q could be any prime number which there are a lot of.

im going to say p is 1 and q is 3

next you would divide 1 by 3

1/3=0.666666667

324x0.666666667=216 exact

Given the division of polynomials

Separate the numerators.

which equals x - 3.

So, the division of the given polynomial gives x - 3.

The expected value of the number of Republicans in a random sample of 50 voters from the population can be calculated using the formula for the expected value of a random variable.

Step 1: Calculate the proportion of Republicans in the population:
The proportion of Republicans in the population is 225/500 = 0.45.

Step 2: Multiply the proportion by the sample size:
The expected value is calculated by multiplying the proportion of Republicans in the population (0.45) by the sample size (50).
Expected value = 0.45 * 50 = 22.5.

Step 3: Interpret the result:
The expected value of the number of Republicans in a random sample of 50 voters is 22.5. This means that, on average, we would expect approximately 22.5 Republicans in a random sample of 50 voters from this population.

It's important to note that the expected value represents the long-term average and may not always match the actual observed value in any given sample. However, over many samples, the average number of Republicans is expected to converge to 22.5.

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Answer:

epresented on the horizontal axis and elevation on the vertical axis. For each situation, decide if the ... (from Unit 3, Lesson 4). 4. Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines. 1. - 7 / 1. C.

Step-by-step explanation:

Answer:

3n + 8 < 5n

n > 4

Step-by-step explanation:

Let

n = cost of viewing videos

Plan A: $3 per video viewed, plus a flat rate of $8 per month

Total cost for plan A = 3n + 8

Plan B: $5 per video viewed and no additional flat rate

Total cost for plan B = 5n

Plan A is less than the cost of viewing n videos using Plan B

The inequality

3n + 8 < 5n

8 < 5n - 3n

8 < 2n

8/2 < n

4 < n

n > 4

Answer:

no solutions

Step-by-step explanation:

7x - 3 = 7(x - 1) + 14 ← distribute parenthesis by 7

7x - 3 = 7x - 7 + 14

7x - 3 = 7x + 7 ( add 3 to both sides )

7x = 7x + 10 ( subtract 7x from both sides )

0 = 10 ← False statement

This indicates the equation has no solution