Please help me

"The verticles of ABC are A(-4,5,)B(-2,4), and C(-3,2). If ABC is reflected across the line y = - 2 to produce the image ABC, find the coordinates of the vertex C.

The coordinates of C' after a reflection across the line y = -2 are ___

Answer:

23 Cm(2)

Step-by-step explanation:

Sincerest Apologies if it is incorrect

if it's not 23 it may be:

26 Cm(2)

Answer:

2 cups

Step-by-step explanation:

to find the extra cup of coffee

\(3\frac{1}{2}-1\frac{1}{2}=\frac{7}{2}-\frac{3}{2}=\frac{4}{2}=2 cups\)

Answer:

that means the system has no solutions

Answer: 24

Step-by-step explanation:

8 x 6 x 3 is 144

5 x 4 x 3 is 60

144 minus 60 is 84

Answer:

6

Step-by-step explanation:

3 x 2 =6

6 / 2 =3

3 x 6 = 18

18 / 3 = 6

                     So your answer is 6

Answer:

z ≤ 25

Step-by-step explanation:

multiply each side by 3 to get:

8 - z ≥ 33

-z ≥ 25

z ≤ -25

(you have to switch the inequality symbol when dividing or multiply by a negative)

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Group B has lower range.

Group A shows variability.

Mean is the best to make concussion about age of Salsa students.

Upon visual examination, it appears that Group A is likely to have a lower average age of music students compared to Group B.

This inference is supported by the observation that the majority of data points in Group B are concentrated around younger ages.

In contrast, Group A exhibits a more dispersed distribution of data points across a wider range of ages, including higher.

So, Group B has lower range.

and, Group A shows variability.

Lastly, Mean is the best to make concussion about age of Salsa students.

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The width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.

What is width in rectangle ?

In a rectangle, the width refers to the measurement of the shorter side of the rectangle, which is perpendicular to its length.

Let x be the width of the blanket in inches. Then the length of the blanket is x + 18 inches.

The area of the blanket is given by:

Area = Length x Width

5760 sq inches = (x + 18) inches * x inches

Expanding the right-hand side and solving for x, we get:

\(x^2 + 18x - 5760 = 0\)

We can solve this quadratic equation using the quadratic formula:

\(x = (-b \pm \sqrt{(b^2 - 4ac)}) / 2a\)

where a = 1, b = 18, and c = -5760. Plugging in these values, we get:

\(x = (-18 \pm \sqrt{(18^2 - 4(1)(-5760))}) / 2(1)\)

\(x = (-18 \pm \sqrt{(18^2 + 23040)}) / 2\)

x ≈ 67.42 or x ≈ -85.42

Since the width cannot be negative, the width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.

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The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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Answer:

Step-by-step explanation:

There are 36 inches in a yard.

1 /36  = x / 450    Multiply by 450

450/36 = x

x = 12.5 yards.

The quadratic functiοn in standard fοrm that wοuld represent the data in the table is y = 2x² + x - 9.

A quadratic functiοn is a type οf pοlynοmial functiοn that can be written in the fοrm οf f(x) = ax² + bx + c, where a, b, and c are cοnstants, and x is an unknοwn variable. The graph οf a quadratic functiοn is a parabοla, and the rοοts οf the equatiοn (the x-intercepts) are the pοints where the parabοla crοsses the x-axis. Quadratic functiοns are used tο mοdel a variety οf natural phenοmena, such as the trajectοry οf a prοjectile οr the grοwth οf a pοpulatiοn οver time.

This can be determined by putting the given values intο the standard fοrm equatiοn: y = ax²  + bx + c  and sοlving fοr a, b and c.

When x = 2, y = 3. Therefοre, 3 = 2a + b - 9, which gives b = 11.

When x = 4, y = 1. Therefοre, 1 = 8a + 11 - 9, which gives a = -1/4.

When x = 6, y = 3. Therefοre, 3 = 18a - 1/4 + 11 - 9, which gives c = -5/4.

The quadratic equatiοn in standard fοrm, y = 2x²  + x - 9, can then be written using the values οf a, b and c fοund.

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Answer:

(-7, -4)  which is your answer D in the list of options

Step-by-step explanation:

The center of the circle should be located half way in between the given points on the plane.

Then the center ahs to be located half way for the x coordinates of both points:

half way between -12 and -2 (notice that there is a difference of 10 units between them), therefore half way would be at 5 units to the right from the furthest point, that is  -12 + 5 = -7

Similarly, for the y coordinate, we see that the difference is between -5 and -3 (a difference of two units) therefore the center point will be located half way  (that is one unit) up from the lowest y coordinate: -5 + 1 = -4

Then the center of the circle is located at (-7, -4)

The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.

To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.

Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.

Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction

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Answer:

Step-by-step explanation:

7x + 9 = 9x - 19. [Corresponding Angles]

=> 9x - 19 = 7x + 9

=> 9x - 7x = 19 + 9

=> 2x = 28

\( = > x = \frac{28}{2} \)

=> x = 14 (Ans)

Answer:

249798.8

Hope this helps! <3

The solutions to the equation x² + 6x + 1 = 0 are x = -3 + 2√(2) or x = -3 - 2√(2)

What is a quadratic equation?

A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0 where a, b, and c are constants, and x is the variable. The solutions can be found using the quadratic formula x = (-b ± √(b² - 4ac)) / (2a) or by factoring the quadratic expression into two linear factors.

To solve the quadratic equation x² + 6x + 1 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

where a, b, and c are the coefficients of the quadratic equation. Substituting the values from our equation, we get:

x = (-6 ± √(6²- 4(1)(1))) / (2(1))

Simplifying inside the square root, we get:

x = (-6 ± √(32)) / 2

We can simplify the square root further by factoring out a 4:

x = (-6 ± 4√(2)) / 2

Simplifying the fraction, we get:

x = -3 ± 2√(2)

Therefore, the solutions to the equation x² + 6x + 1 = 0 are:

x = -3 + 2√(2) or x = -3 - 2√(2)

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Answer:

well. 372.

You don't have to buy a house. It doesn't really matter tho

You can live in an apartment or even hotel/motel. Enjoy

Step-by-step explanation:

Answer:

y = -(4/5)x + 7

Step-by-step explanation:

recall that the point-slope form of a linear equation is given as

y - y₁ = m (x - x₁)

in our case, we are given

slope, m = -4/5

and a point (x₁, y₁) = (5,3)

hence we simply substitute these values into the equation

y - y₁ = m (x - x₁)

y - 3 = -(4/5) (x - 5)    (we will simplify this to convert to slope-intercept form)

y - 3 = -(4/5) (x) - (-4/5)(5)

y - 3 = -(4/5)x +4   (add 3 to both sides)

y = -(4/5)x +4  +3

y = -(4/5)x + 7

The expected value E ( X ) of the probability distribution is E ( X ) = 2.5

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

The mean of probability distribution is also known as expected value. It is denoted by E ( X ). E(X), or mean μ of a discrete random variable X is calculated by multiplying each value of the random variable by its probability and taking the sum of the values.

E ( X ) = μ = ∑x P ( x )

Given data ,

Let the mean of the probability distribution be represented as E ( X )

Now , the expected value E ( X ) is calculated as

The values of x = { 5 , 6 , 7 , 8 , 9 }

The values of P ( X = x ) = { 0.1 , 0.1 , 0.3 , 0.1 , 0.4 }

Now , the expected value E ( X ) is

E ( X ) = ( 5 x 0.1 ) + ( 6 x 0.1 ) + ( 7 x 0.3 ) + ( 8 x 0.1 ) + ( 9 x 0.4 )

On simplifying , we get

The mean of probability distribution is

E ( X ) = 0.5 + 0.6 + 0.21 + 0.8 + 0.36

E ( X ) = 2.47

E ( X ) = 2.5

Hence , the mean of probability distribution is 2.5

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Answer:

20

Step-by-step explanation:

120*1/5= 24

120*1/3= 40

120*3/10= 36

120-24-40-36= 20

Answer:

91.3 and 0913

Step-by-step explanation:

91 + 91 + 91 is an expression that can be simplified into a multiplication problem, because there is a number being added by itself a certain amount of times. So we have to look for a multiplication problems within our answers.

Leading us up to 91(3) and (91)(3), these are both examples of multiplcation.

91.3 would happen if you were adding .3 to 91

And 0913 would happen if you added 91 and 822

Answer:

y = - 14/3 +7x/3

Step-by-step explanation:

The reason for my answer is because let us move the -3y so it is before the equal sign. Let us also move 7x to the other side but make it so 14 would be to the right side of the equal sign. Now, that would mean 7x would be after 14. Our equation is now -3y=14-7x. We need to divide both sides of the equation by -3. There, we just divided -3y by 3 which equals to y. 14 divided by -3 equals to -14/3. -7x divided by -3 would equal to +7x/3. Finally, we get the answer of y = - 14/3 +7x/3.

Answer:

Step-by-step explanation:

● 7x-3y = 14

This a 1st degree equation with two variables.

● 7x-3y = 14

Substract 7x from both sides

● 7x-7x -3y = 14-7x

● -3y = 14-7x

Mulitply both sides by -1

● (-1)×(-3y) = (-1)×(14-7x)

● 3y = -14+7x

● 3y = 7x+14

Divide both sides by 3

● 3y/3 = (7x+14)/3

● y = (7/3)x + 14/3

There are infinite solutions for this equation. Keep replacing x with value and the output will change everytime.

It would take a total of 20 days to produce the batch of pens.

Let's calculate the work done by the 3 machines for the first 8 days:

Work done by 3 machines in 8 days = (3/12) * 8 = 2 days' worth of work

The remaining work that needs to be done by all 12 machines is:

Remaining work = 1 - (2/20) = 0.9

Now, we can use the work formula to find the total number of days needed to complete the remaining work with 12 machines:

Total work = 0.9

Work done by 12 machines in one day = 12/20 = 0.6

Total number of days needed = 0.9/0.6 = 1.5

Therefore, the total number of days needed to produce the batch of pens is:

8 (days with 3 machines) + 1.5 (days with 12 machines) = 9.5 days

However, we also need to add the 10.5 days it would take for all 12 machines to complete the batch from the beginning:

10.5 + 9.5 = 20 days

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The unit cost of an apple in a crate of 250 apples is $2.63.

Given the following data:

To determine the unit cost of an apple:

In this exercise, you're required to calculate the cost of one apple in a crate, knowing that there are 250 apples in total at a cost of $95.

Thus, we would divide the total number of apples by the total cost of all the apples as follows:

\(Unit\;cost = \frac{Total\;apples}{Total\;cost}\)

Substituting the given parameters into the formula, we have;

\(Unit\;cost = \frac{250}{95}\)

Unit cost = $2.63

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Answer:

To find out how many years it would take to double an initial investment with a 1% annual interest rate, you can use the rule of 72. The rule of 72 states that you can divide 72 by the annual interest rate to find out how many years it would take to double an investment.

In this case, you would divide 72 by 1 to get 72 years. Therefore, it would take 72 years for an investment of $1,000 at a 1% annual interest rate to have a future value of $2,000.

Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.

To determine which package is the better buy, we need to compare the cost per hook for each package.

For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:

Cost per hook = $9.95 / 25 = $0.398

Rounding to the nearest cent, the cost per hook is $0.40.

For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:

Cost per hook = $13.99 / 40 = $0.3498

Rounding to the nearest cent, the cost per hook is $0.35.

Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.

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The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50