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Describe the effects on the linear parent function y = x when the slope is changed to -5 and the y-intercept is changed to -1. Be sure to use academic vocabulary in your response

The peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:

y = |x - 16| + 24

This equation models the roof line of Terry's house.

To model the roof line of Terry's house, we can use the concept of absolute value. The equation for an absolute value function can be written as:

y = |x - h| + k

where (h, k) represents the vertex of the absolute value graph.

In this case, the peak of the roof line is at 24 feet. Since the width of the house is 32 feet, the vertex of the absolute value graph will be at the midpoint of the width, which is 16 feet. Therefore, h = 16.

Since the peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:

y = |x - 16| + 24

This equation models the roof line of Terry's house.

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After 3 years, all's accounts will have approximately $1302.84.

The interest earned on All's investment after 3 years is $102.84.

We have,

(a)

The formula for the future value of a CD with monthly compounding.

FV = P(1 + r/12)^(12n)

where:

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of years

In this case,

All invest $1200, the interest rate is 1.27% compounded monthly, and the investment is for 3 years.

Plugging these values into the formula, we get:

FV = 1200(1 + 0.0127/12)^(12*3) ≈ $1302.84

(b)

To find the amount of interest earned, we subtract the initial investment from the future value:

Interest = FV - P

= $1302.84 - $1200

= $102.84

Thus,

After 3 years, all's accounts will have approximately $1302.84.

The interest earned on All's investment after 3 years is $102.84.

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Answer:

Step-by-step explanation:

The area of the large rectangle shown in the image is (2 + 3 + 4)a unit square

An equation is an expression that shows the relationship between two or more numbers.

Area is the amount of space occupied by a two dimensional shape or object.

The area of a rectangle is the product of its length and width. It is given by the equation:

Area of a rectangle = length * width

From the diagram:

Width = a; length = 2 + 3 + 4

Area = length * width

Substituting the terms into the equation:

Area = (2 + 3 + 4)a

Further simplification gives:

Area = 2a + 3a + 4a

The area of the rectangle is 2a + 3a + 4a

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The probability that a randomly selected person from the group will have a systolic blood pressure below 112 is 0.0548.

To find the probability that a randomly selected person from the group will have a systolic blood pressure below 112, we need to standardize the variable using the z-score formula:

z = (x - μ) /σ

where x is the value, we want to find the probability for, μ is the mean of the distribution, and σ is the standard deviation.

For this problem, we have:

z = (112 - 120) / 5 = -1.6

Now, we need to find the probability that Z (the standardized variable) is less than -1.6. We can do this by using a standard normal distribution table.

Using a standard normal distribution table, we find that the probability of Z being less than -1.6 is approximately 0.0548.

Therefore, the probability that a randomly selected person from the group will have a systolic blood pressure below 112 is approximately 0.0548 or 5.48%.

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After the correct formula for a reactant in an equation has been written, The solution is balanced by adjusting the subscripts.

It is necessary to change the subscripts in order to balance an equation once the proper formula for a reactant has been written. Make sure there are the same amount of atoms of each element on the reactant and product sides of the equation in order to balance an equation. The chemical formula itself shouldn't be changed in order to achieve this balance, and it might or might not show up on the product side of the equation. However, changing the subscripts is essential. Moreover, provided that they are balanced, the formula's figures may be placed on either side of the equation.

Therefore, after the correct formula for a reactant in an equation has been written, The solution is balanced by adjusting the subscripts.

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Circle M and circle S are the same size. Circle M is shaded to represent a fraction. 2 parts of circle S should be shaded to show an equivalent fraction. Thus, option C is correct.

A circle is a fundamental geometric shape in mathematics. It is a closed curve consisting of all points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius of the circle.

The circle has several important properties:

Diameter: The diameter of a circle is a line segment that passes through the center and has its endpoints on the circle. It is twice the length of the radius.

Circumference: The circumference of a circle is the distance around its outer boundary. It is calculated using the formula C = 2πr, where C is the circumference and r is the radius. The value π (pi) is a mathematical constant approximately equal to 3.14159.

Area: The area of a circle is the measure of the region enclosed by the circle. It is calculated using the formula A = πr^2, where A is the area and r is the radius.

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Answer:

The volume of the triangular prism would be 210.

Step-by-step explanation:

Formula:

Volume of a triangular prism = (1/2) x Base area x Height

or

V = 1/2 x B x H

Find the Base area = l x w

Base area = (10 x 7) 70

Base area = 70 sq.m

V = (1/2) x (70) x 6

V = 210

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the cost of a wardrobe is approximately $850. Since the bed costs $250 more than the wardrobe, the cost of a bed would be approximately $850 + $250 = $1,100.

Let's assume the cost of a wardrobe is x dollars. Since the bed costs $250 more than the wardrobe, the cost of a bed would be x + $250.

According to the given information, the total cost of 4 beds and 3 wardrobes is $6,950. We can set up an equation to represent this:

4 * (x + $250) + 3 * x = $6,950

Simplifying the equation:

4x + $1,000 + 3x = $6,950

Combining like terms:

7x + $1,000 = $6,950

Subtracting $1,000 from both sides:

7x = $5,950

Dividing both sides by 7:

x ≈ $850

Therefore, the cost of a wardrobe is approximately $850. Since the bed costs $250 more than the wardrobe, the cost of a bed would be approximately $850 + $250 = $1,100.

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\(\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}\)

so ,

\(new \: selling \: price = 150 + \frac{26}{100} \times 150 \\ = > 150 + 39 \\ = > 189 \: rs\)

hσpє hєlpful~

Based on the information given the selling price of the pen set is $189.

Using this formula

Selling price=Selling price of pen+(Profit percentage× Selling price of pen)

Let plug in the formula

Selling Price=$150 +( 26% ×$150)

Selling Price=$150 +$39

Selling Price=$189

Inconclusion  the selling price of the pen set is $189.

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Answer:

9/100

Step-by-step explanation:

% = over 100

9% = 9/100

Answer:

9/100

Step-by-step explanation:

Since each of the box is a cube, we use the formula for volume of a cube, which is a^3 [edge of the cube raised to the power 3] = (2)^3 = 8 cm^3 [2x2x2]

Now, the volume of the carton can be calculated using the formula length x breadth x height = 56 x 30 x 36 = 60,480 cm^3

Remember, all the units of the dimensions should be same and the final unit will be cm^3

The number of boxes of tea that can fit into the carton can be calculated by using the following formula: volume of the carton/volume of one tea box

= 60480/8

So, 7560 boxes of tea will fit in the carton

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Using the binomial distribution, it is found that the standard deviation of the distribution is of 0.67.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

The parameters are:

n = 5, p = 0.1.

Hence the standard deviation is:

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5 \times 0.1 \times 0.9} = 0.67\)

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By following the steps above, you will find the balance in both scenarios and the increase in balance when the annual interest rate increases by 1 percent.

the balance and increase in the balance in two different scenarios, given a continuous compounding interest formula.

First, let's define the given variables and formula:
- Amount: Initial investment, which is $10,000.
- Balance: The total amount in the account after a certain period.
- Integer: A whole number, without decimal points.
- Formula: Balance = 10,000 * e^(0.01 * r * t), where r is the annual interest rate and t is the time in years.

Scenario (a):
1. Find the balance for 5 years (t) with an interest rate of 3% (r).
2. Balance = 10,000 * e^(0.01 * 3 * 5).
3. Calculate the balance and round to an integer.

Scenario (b):
1. Find the balance for 5 years (t) with an interest rate of 4% (r).
2. Balance = 10,000 * e^(0.01 * 4 * 5).
3. Calculate the balance and round to an integer.
4. Find the increase in balance by subtracting the balance from scenario (a) from the balance in scenario (b).

By following the steps above, you will find the balance in both scenarios and the increase in balance when the annual interest rate increases by 1 percent.

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The required value of partial derivative of the given function is,

fy(3,1/6) ≈ 1.607.

To find fy,

We have to take the partial derivative of f with respect to y while holding x constant.

Using the chain rule, we have,

⇒ f(x, y) = y sin⁻¹(xy)

⇒ ∂f/∂y = sin⁻¹(xy) + y d/dy[sin⁻¹(xy)]

             = sin⁻¹(xy) + y / √(1 - (xy)²)  x

So, to find fy(3,1/6),

Substitute x = 3 and y = 1/6,

⇒ fy(3,1/6) = sin⁻¹(3/6) + (1/6) / √(1 - (3/6)²) x 3

                 = sin⁻¹(1/2) + 1/2

                 ≈ 1.107 + 0.5

                 ≈ 1.607

Therefore,

fy(3,1/6) ≈ 1.607 is the required value.

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Answer:

-114

Step-by-step explanation:

f(6) it means f(x=6) so substituting x=6 in your equation gives us

f(6)= -4*(6)²+5*(6)

= -4*36+30

= -144+30

= -114

Tim bought a pair of running shoes marked 25% down at a price of $60

The formula to find the discount of an item on sale is

Where

Let k represent the original price

Substitute the values into the formula above

Hence, the original price, k, of the pair of Zeus running shoes is $240

Answer:

yea I cant really do this over a screen

Answer:

16) photo

Step-by-step explanation:

- parallel lines never meet (a, b, c have no points in common)

- perpendicular lines meet other lines at one point, forming two angles of 90 °

Answer:

x +15 + x -1 =1

x+x +15-1 =1

2x-14=1

2x-14-14=1-14

2x =-13

2x÷2=-13÷2

x=-6 and a half

Answer:

yo if i aint mistaken, x is 42

Step-by-step explanation:

Answer:

20

2/5x-3/10x=2

Step-by-step explanation:

5 times 7 times 7 since there are two sevens that means both sides are the same and thar means it is a square and that the other sides are the same makeing it so Q=5

↝ Quadratic Function has the domain of all real numbers. (Even not given the specific domain.)

↝ The equation \(y=-3(x-5)+8\) is a parabola with (5,8) as a vertex. We call the equation \(y=a(x-h)^2+k\) as vertex equation.

The domain of -3(x-5)+8 is all set of real numbers.

↝ Interval Notation ↝

Since the domain of the equation is set of all real numbers.

Therefore, the domain is x ∈ R or (-∞,∞) or -∞<x<∞

There of them work. Recall that the domain of quadratic function is all set of real numbers.

Answer:

The rational function f(x) = P(x) / Q(x) in lowest terms has no horizontal asymptotes if the degree of the numerator, P(x), is greater than the degree of denominator, Q(x)

Step-by-step explanation:

thank me later

Algebraically, this means that the dependent variable y is a linear function of the independent variable x, with no coefficient multiplying x.

When β₂=0, the regression model simplifies to yᵢ = β₁xᵢ + eᵢ. This means that the dependent variable y is solely determined by the intercept β₁ and the error term e, with no effect from the independent variable x.

This means that the best estimate for β₁, when β₂ = 0, is the mean of the dependent variable y.This is because when β₂ = 0, the value of x does not contribute to the variation in y. The line is parallel to the x-axis and has a constant intercept β₁

.

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Answer:

8

Step-by-step explanation:

16 inchers = 128 feet

128/16=8

so 1 inch = 8 feet

Answer:

16 inches:128 feet = 1 inch:8 feet

Answer:

c

Step-by-step explanation:

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a) The monthly payment for the 7-year loan would be approximately $406.37, and for the 10-year loan, it would be approximately $282.16.

b) By choosing the 7-year loan, Florine would save approximately $9,298.32 in interest compared to the 10-year loan.

c) Florine might choose the 10-year loan because the lower monthly payments fit better within her budget, even though it results in higher overall interest costs.

To calculate the monthly payment for each time period and determine the interest savings, we can use the formula for calculating the monthly payment on a loan:

\(P = \(\frac{{r(PV)}}{{1 - (1 + r)^{-n}}}\)\)

Where:

P = monthly payment

PV = present value (loan amount)

r = monthly interest rate (annual interest rate divided by 12)

n = total number of months

a) Monthly payment for the 7-year loan:

PV = $25,000

r = 9.6% per year / 12 months = 0.96% per month

n = 7 years * 12 months per year = 84 months

Using the formula:

\(P = \(\frac{{0.0096(25000)}}{{1 - (1 + 0.0096)^{-84}}}\)\)

Calculating this value will give us the monthly payment for the 7-year loan.

b) Monthly payment for the 10-year loan:

PV = $25,000

r = 9.6% per year / 12 months = 0.96% per month

n = 10 years * 12 months per year = 120 months

Using the formula mentioned above, we can calculate the monthly payment for the 10-year loan.

c) Florine might choose the 10-year loan, even though the interest costs are greater, for the following reasons:

- Lower monthly payment: The 10-year loan will have a smaller monthly payment compared to the 7-year loan. This could make it more affordable for Florine on a monthly basis and give her more financial flexibility.

- Other financial obligations: Florine might have other financial obligations or expenses that require her to have a lower monthly payment. By choosing the 10-year loan, she can manage her cash flow better and meet her other financial needs.

- Investment opportunities: Florine might have other investment opportunities where she can earn a higher return on her money than the interest rate on the loan. By choosing the 10-year loan and investing the saved monthly payment difference, she can potentially earn more than the additional interest costs.

It's important to consider that these reasons are subjective and depend on Florine's individual circumstances and financial goals.

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To calculate the molarity of a solution, we divide the number of moles of solute by the volume of the solution in liters.

In this case, we have 0.512 moles of NaCl dissolved in 0.24 L of solution. The molarity can be determined by dividing the number of moles by the volume in liters.

Molarity (M) is defined as the number of moles of solute per liter of solution. In this case, we have 0.512 moles of NaCl dissolved in 0.24 L of solution. To calculate the molarity, we divide the number of moles by the volume in liters:

Molarity (M) = moles of solute/volume of solution (in liters)

Molarity (M) = 0.512 moles / 0.24 L ≈ 2.133 M

Therefore, the molarity of the solution is approximately 2.133 M.

In summary, the molarity of the solution containing 0.512 moles of NaCl dissolved in 0.24 L of the solution is approximately 2.133 M.

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Answer:

14

Step-by-step explanation:

Because your total is 182 desserts and you want to arrange them into 13 rows you will divide the two numbers. So, 182/13 is 14. so 14 is your answer.

Hope that helped

Answer:

14 Tropical cupcakes per row

Hope this helped :)

Step-by-step explanation:

182 ÷ 13 = 14

Check:

14 × 13 = 182 ✓