I am trying to answer this please help?

The image triangle has vertices after the dilation by a scale factor of 3 are M'(0,12), N'(12,6), and P'(6,-6).

To find the image coordinates of a triangle after dilation, we need to multiply the coordinates of each point by the scale factor.

In this case, the scale factor is 3.

So the image coordinates of the triangle with vertices M(0,4), N(4,2), and P(2,-2) after dilation by a scale factor of 3 are:

M' = (3 * 0, 3 * 4) = (0, 12)

N' = (3 * 4, 3 * 2) = (12, 6)

P' = (3 * 2, 3 * (-2)) = (6, -6)

Hence, the image triangle has vertices M'(0,12), N'(12,6), and P'(6,-6).

In summary, the image coordinates of the triangle after dilation by a scale factor of 3 are M'(0,12), N'(12,6), and P'(6,-6).

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We will be able to put out $36598.19. The solution has been obtained by using the concept of present value of annuity.

The present value of an annuity is the current value of its anticipated future payments at a given rate of return, or discount rate. With higher discount rates, the annuity's present value falls.

We are given that $400,000 are saved for retirement. The account earns  6% interest.

Using present value of annuity,

⇒Present value of annuity due = P + P [tex][\frac{1-(1+r)^{-(n-1)} }{r}][/tex]

⇒400,000 = P + P [tex][\frac{1-(1+0.06)^{-(15-1)} }{0.06}][/tex]

⇒400,000 = P [1 + 9.295]

⇒P = 400,000/10.9295

⇒P = $36598.19 (approx.)

Hence, we will be able to put out $36598.19.

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The value of the indicated function instances as required to be determined are as follows;

It follows from the task content that a graph is given and the indicated values are to be determined.

By observation of the graph; it follows that;

On this note, f (π) = -3.

f (π/2) = 0.

f ( -3π/2 ) = 0.

The values above are as obtained from the graph.

Ultimately, the value of the indicated function instances are as evaluated from the graph above.

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The value of f(g(2)) from the given table is -6.

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. Expressions of well-known functions can be found in many frequently used mathematical formulas. For instance, the calculation for a circle's area

Given that,

x –5 –4 –1 2 4 7

f (x) 0 2 7 –1 –6 –4

g(x) –8 –1 2 4 7 1

The value of g(2) = 4

The value of f(g(2)) = f(4) = -6

Hence, the value of f(g(2)) from the given table is -6.

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Answer:

respuesta es : -810 xy

Step-by-step explanation:

:)

Answer:

Let's start by defining some variables to represent the width and length of the pool:

Let w be the width of the pool (in feet).

Let l be the length of the pool (in feet).

We know from the problem statement that the length of the pool is 5 feet more than 3 times its width:

l = 3w + 5

We also know that the deck surrounding the pool is 2 feet wide. This means that the overall width of the pool and the deck combined is:

w_total = w + 2 + 2 = w + 4

Similarly, the overall length of the pool and the deck combined is:

l_total = l + 2 + 2 = l + 4

We are given that the area of the deck is 196 square feet. The area of the deck can be calculated by subtracting the area of the pool from the area of the pool and deck combined:

Area of deck = Area of pool and deck - Area of pool

196 = w_total * l_total - w * l

We can substitute the expressions for w_total and l_total in terms of w and l:

196 = (w + 4) * (l + 4) - w * l

Simplifying this expression gives:

196 = wl + 4w + 4l + 16

We can substitute the expression for l in terms of w:

196 = w(3w + 5) + 4w + 4(3w + 5) + 16

Simplifying this expression gives:

196 = 13w + 36

Solving for w, we get:

w = 14

Therefore, the width of the pool is 14 feet.

Answer:

Step-by-step explanation:

midpoint of AC

[tex]x=\frac{1-1}{2} =0\\y=\frac{4-4}{2} =0\\mid ~point~of~AC=(0,0)[/tex]

midpoint of BD

[tex]x=\frac{4-4}{2} =0\\y=\frac{-1+1}{2} =0\\midpoint ~of~BD=(0,0)[/tex]

so diagonals bisect each other.

The equations of the relationship are

A: y = 1/4x

B: y = 2/5x

From the question, we have the following parameters that can be used in our computation:

The graph

We can see that the lines pass through the origin

This means that the equations can be represented as

y = mx

Where

m = slope

From the graph. we have

A = (8, 2)

B = (5, 2)

When these points are substituted, we have

A: 8m = 2

B: 5m = 2

When solved, we have

A: m = 1/4

B: m = 2/5

So, the equations are

A: y = 1/4x

B: y = 2/5x

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The length of the hypotenuse is approximately 6.7.

What is the Pythagorean theorem and how is it used to find the hypotenuse of a right triangle?

The Pythagorean theorem is a fundamental relationship in Euclidean geometry that relates the lengths of the sides of a right triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, the Pythagorean theorem can be expressed as:

[tex]c^2 = a^2+ b^2[/tex]

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Finding the missing length :

In the given problem, we are given the lengths of two sides of a right triangle, which are 3 and 6. We can use these values to find the length of the hypotenuse using the Pythagorean theorem:

[tex]h^2 = 3^2+ 6^2[/tex]

[tex]h^2 = 9 + 36[/tex]

[tex]h^2 = 45[/tex]

Taking the square root of both sides gives:

[tex]h = \sqrt{45}[/tex]

Using a calculator, we can simplify this to:

[tex]h \approx 6.7[/tex] (rounded to the nearest tenth)

Therefore, the value of the hypotenuse of the right triangle with sides 3 and 6 is approximately 6.7.

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Answer:

Step-by-step explanation:

a. Variables:

D0 = Demand for nurses in 2000 = 2,000,000

S0 = Supply of nurses in 2000 = 1,890,000

D2020 = Projected demand for nurses in 2020 = 2,810,414

S2020 = Projected supply of nurses in 2020 = 2,001,998

Equations:

For 2000: D0 = S0

For 2020: D2020 = S2020

b. Using substitution, we can set the two equations equal to each other:

D0 = S0

2,000,000 = 1,890,000 + m(S0 - 1,890,000) (where m is the rate of increase in supply)

m = 0.063

Now we can use this value of m to find out during which year the supply of nurses was equal to the demand:

2,000,000 = 1,890,000 + 0.063(S - 1,890,000)

S = 2,013,008

Therefore, the supply of nurses was equal to the demand in the year 2013.

Answer:

Step-by-step explanation:

I got you

So,

The perimeter of a square is the sum of the lengths of all its sides, and since a square has all sides equal, we can find the length of one side by dividing the perimeter by 4:

32 cm ÷ 4 = 8 cm

Therefore, each side of the square measures 8 centimeters. To find the area of the square, we can use the formula:

Area = side length x side length

So, the area of the square is:

Area = 8 cm x 8 cm = 64 square centimeters

Therefore, the area of the square with a perimeter of 32 centimeters is 64 square centimeters.

Answer:

Kara has 67 in total

Tyrone has 82 in total

and together they have 149

im not to sure what your asking but heres what i got...

The size of each payment for the sinking fund must be $1586.87.

A sinking fund is a collection of funds that have been put up or saved to pay off bonds or debts. A corporation that issues debt will eventually have to pay that loan back, and the sinking fund lessens the burden of a significant outflow of revenue. The corporation creates a sinking fund so that it may make contributions to it in the years before the bond matures.

The sinking fund formula is given as:

A = P * ((1 + r/n)ⁿˣ - 1) / (r/n)

61000 = P * ((1 + 0.009833/6)⁽⁶⁽⁹⁾ ⁻ ¹⁾/ (0.009833/6)

61000 = P * 38.4647

P = 1586.87

Hence, the size of each payment for the sinking fund must be $1586.87.

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Answer:

y=-3x+7

Step-by-step explanation:

find the slope which is (y1-y2)/(x2-x1). therefore the slope is -3. and then put it in point slope intercept form which is (y-y1)=m(x-x1) = (y-1)=-3(x-2) and simplified the expression is y=-3x+7.

Answer:

eeeeejjbbvvv g gyuuu u grrtyyu

1. The loan term of the truck is 5 years.

2. The contractor has to pay R30,801.67 per month towards the truck, including the insurance cover amount.

3. In in June 2022, the contractor owed the financer R669,050.10, excluding the insurance amount.

1. The loan term of the truck in years is calculated as follows:

Number of years = Loan term in months / 12

Number of years = 60 months / 12

Number of years = 5 years

Therefore, the loan term of the truck is 5 years.

2. Monthly repayments = Monthly instalment of the truck + Insurance premium

Monthly repayments = R22,301.67 + R8,500

Monthly repayments = R30,801.67

Therefore, the contractor has to pay R30,801.67 per month towards the truck, including the insurance cover amount.

3. Number of instalments paid = Loan term in months / 2

Number of instalments paid = 60 months / 2

Number of instalments paid = 30 months

The total amount of money owed to the financer excluding the insurance in June 2022 would be:

Total amount owed = Remaining instalments x Monthly instalment of the truck

Total amount owed = (Loan term in months - Number of instalments paid) x Monthly instalment of the truck

Total amount owed = (60 months - 30 months) x R22,301.67

Total amount owed = 30 months x R22,301.67

Total amount owed = R669,050.10

Therefore, in June 2022, the contractor owed the financer R669,050.10, excluding the insurance amount.

The significance of including an insurance cover when a contractor purchases a water tanker is to protect the asset from unforeseen circumstances such as accidents, theft, or damage. If the contractor did not have insurance, they would have to pay for any repairs or replacements out of pocket, which could be expensive and financially devastating. Insurance also provides peace of mind and allows the contractor to focus on their business operations without worrying about potential risks to their asset.

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Answer:

32 : 1

Step-by-step explanation:

dimensions of the parts of the ratio must be in the same units

convert 9 feet to inches

1 foot = 12 inches

then

9 feet = 9 × 12 = 108 inches

then ratio

9 feet : 3 [tex]\frac{3}{8}[/tex] inches

= 108 inches : 3 [tex]\frac{3}{8}[/tex] inches ( change mixed number to improper fraction )

= 108 : [tex]\frac{27}{8}[/tex] ( multiply both parts by 8 to clear the fraction )

= 864 : 27 ( divide both parts by 27 )

= 32 : 1

The value of function f(x) at x =1 will be 4.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given a function f(x) = -3x + 7

To calculate the value of the function at x = 1,

We need to substitute the value of x = 1 in the function,

thus,

f(1) = -3 * 1 + 7

f(1) = -3+ 7

f(1) = 4

This represents the point (1, 4) on function f(x) = -3x +7.

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The cardinality of (B ⋃ C) will be n(B ⋃ C)=3.

In mathematics, cardinality refers to the size or number of elements in a set. It is a concept used to compare the sizes of sets, regardless of their specific elements. For instance, the cardinality of the set {1, 2, 3} is 3, while the cardinality of the set {2, 4, 6, 8, 10} is 5. Cardinality is typically denoted using vertical bars, such that |S| represents the cardinality of set S.

Now,

The symbol "n(S)" represents the cardinality

To find the cardinality of the sets:

We have to see how many elements are there in (B ⋃ C) and

As we can see from Venn diagram there are 23 elements in (B ⋃ C) i.e.

5+3+1+2+4+8

Hence,

           The cardinality of n(B ⋃ C) will be 23.

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Answer:

The answer you're looking for is: (4, -9), (6, -9), (4, -1)

Step-by-step explanation:

When translating an image 90º counterclockwise you go one quadrant to the right and use the scale factor: (x, y) --> (y, -x).

When using this scale factor you switch the x and y coordinates and also make sure that x is the opposite operation, it doesn't always mean it's going to be negative.

In this case points (-9, -4), (-9, -6), and, (-1, -4) were translated to (4, -9), (6, -9), (4, -1) accordingly.

I hope this was helpful!

The pet store donated 5 percent of $7,900 to hospitals.

How to find the percentage of a number?

To find the percentage of a number, we can use the formula:

(percent) = (part / whole) x 100

Where "part" is the portion we want to find the percentage of, and "whole" is the total amount. The result gives us the percentage of the part relative to the whole.

Calculation of the percentage donated to hospitals -

In this problem, we are given that a pet store donated a percentage of every sale to hospitals, and we need to find out what percentage of $7,900 was donated. We are also given that the total donation amount was $395.

To solve this problem, we can use the percentage formula, with the part being the donation amount ($395) and the whole being the total sales ($7,900).

Substituting these values into the formula, we get:

(percent donated) = (395 / 7,900) x 100

Simplifying the fraction, we get:

(percent donated) = 0.05 x 100

Multiplying 0.05 by 100 gives us 5

Therefore, the pet store donated 5% of $7,900 to hospitals.

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Jack does have enough length of rope to tie his packages.

The same attribute is presented using a unit conversion, but in a differing unit of measurement. For examples, time can be indicated in minutes rather than hours, and distance can be depicted in kilometers, feet, or other types of measurement unit instead of miles.

So, concert all units in inches:

7 yards = 7*36 = 252 inches

4 feet = 4*12 = 48 inches.

Total length of rope = 252 inches.

Required rope = 84 inches + 48 inches

Required rope = 132 inches.

Thus,  Jack does have enough rope to tie his packages.

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As a result, 7 is the number of w that solves the problem.

In mathematics, a denominator is the lowest integer in a proportion that indicates how many equal portions are split into a whole. It is a fraction's division. In this case, the fraction is 4, so there are four components overall.

To solve for w in the equation (W+3)/4 = (W-2)/2, we can start by cross-multiplying to eliminate the denominators:

2(W+3) = 4(W-2)

Expanding the brackets:

2W + 6 = 4W - 8

Simplifying:

2W = 14

W = 7

Therefore, the value of w that satisfies the equation is 7.

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Answer:

4.5%

Step-to-Step Explanation:

[tex]y=8700*1.045^{x}[/tex]

[tex]y=a(1+r)^{x}[/tex]

1 + r = 1.045

r = 1 - 1.045

r = 0.045

Multiply 0.045 by 100 to ger 4.5%

r = 4.5%

9. The discriminant is 33. And the roots are real and distinct.

10. The discriminant is 4. And the roots are real and distinct.

11. The discriminant is -23. And the roots are imaginary roots.

12. The discriminant is -4. And the roots are imaginary roots.

What is the discriminant?

The quadratic equation is ax² + bx + c = 0. Then the discriminant is given as,

D = b² - 4ac

9. 2x² + 3x - 3 = 0, the discriminant is given as,

D = 3² - 4 × 2 × (-3)

D = 33

Roots are real and distinct.

10. 4x² - 6x + 2 = y, the discriminant is given as,

D = (-6)² - 4 × 4 × (2)

D = 4

Roots are real and distinct.

11. 0 = x² - 3x + 8, the discriminant is given as,

D = (-3)² - 4 × 1 × (8)

D = - 23

Roots are imaginary.

12. y = 5x² + 4x + 1​, the discriminant is given as,

D = (4)² - 4 × 5 × (1)

D = -4

Roots are imaginary.

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The volume of the figure is 93π

From the question, we have the following parameters that can be used in our computation:

The composite figure

The volume is calculated as

Volume = Cone + Cylinder

Using the above as a guide, we have the following:

Volume = 1/3πr²(H - h) + πr²h

Substitute the known values in the above equation, so, we have the following representation

Volume = 1/3π * 3² * (15 - 8) + π * 3² * 8

Evaluate

Volume = 93π

Hence, the volume is 93π

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Answer:

$62.70

Step-by-step explanation:

of means "x"

and means "+"

6 hours of mowing and 1 hour of babysitting

(6 hours of mowing) + ( 1 hour of babysitting)

6 hours of mowing

6 hours x mowing

6x9.20 = answer 1

1 hour of babysitting

1 hour x babysitting

1 x 7.50 = answer 2

add both answers together to get final answer

Answer:

the largest area that can be enclosed with 700 feet of fencing is 61,250 square feet

Step-by-step explanation: