HELP! What is the ordered pair that represents the point (6, −5) after a reflection over the x-axis?

(6, 5)
(−6, −5)
(−5, −6)
(5, −6)

Answer:

$5 for a case of soda

Step-by-step explanation:

I hope this helps! :)

Step-by-step explanation:

From the image, let Angle 1 be x, and angle 2 be 16°

\({ \tt{x + 16 = 180}} \\ { \tt{x = 164 \degree}}\)

The implicit solution to the differential equation \(dy/dx - y = exy^5\), using C as the constant of integration, is: \(e^(-x) * y - (1/10) * e^(^2^x^) * y^5 = C\)

To solve the differential equation, we used the integrating factor method. By multiplying the given equation by the integrating factor \(e^(^-^x^)\), we transformed it into the derivative of the product \(e^(^-^x^) * y\)with respect to x.

Next, we integrated both sides of the equation with respect to x. The left-hand side is simply the integral of the derivative of \(e^(^-^x^) * y\), which gives us \(e^(^-^x^) * y.\)

On the right-hand side, we integrated the function\(e^(^2^x^) * y^5\) using the substitution \(u = y^5\). After applying the substitution and simplifying, we obtained \((1/10) * e^(^2^x^) * y^5\) as the integral.

Combining the results, we rearranged the equation to solve for y and obtained the implicit solution\(e^(-x) * y - (1/10) * e^(^2^x^) * y^5 = C\), where C represents the constant of integration.

This implicit solution represents a family of curves that satisfy the given differential equation. Different values of C will give different curves within the family.

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The value of the triple integral ∭f(x, y, z) dV over the solid E is 27π.

The function f(x, y, z) = z, and the region B is defined as {(x, y, z): \(x^2 + y^2 < 9\), x > 0, y = 0, 0 < z < 3}.

To evaluate the triple integral, we need to express it in the appropriate coordinate system. In this case, cylindrical coordinates are more convenient.

In cylindrical coordinates, we have:

x = ρcos(θ)

y = ρsin(θ)

z = z

The Jacobian of the transformation from Cartesian to cylindrical coordinates is ρ.

The limits of integration are as follows:

ρ: 0 to 3

θ: 0 to 2π

z: 0 to 3

The triple integral becomes:

∭f(x, y, z) dV = ∫[0 to 3]∫[0 to 2π]∫[0 to 3] z ρ dz dθ dρ

Now, let's evaluate the integral:

∫[0 to 3]∫[0 to 2π]∫[0 to 3] z ρ dz dθ dρ

= ∫[0 to 3]∫[0 to 2π] [\(z^2\)/2] [from 0 to 3] dθ dρ

= ∫[0 to 3]∫[0 to 2π] (9/2) dθ dρ

= (9/2) ∫[0 to 3] [θ] [from 0 to 2π] dρ

= (9/2) ∫[0 to 3] 2π dρ

= (9/2) (2π) ∫[0 to 3] dρ

= 9π ∫[0 to 3] dρ

= 9π [ρ] [from 0 to 3]

= 9π (3 - 0)

= 27π

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The correct answer is an age value is unusual, we need the z-score corresponding to that age value.  the z-score for an age of 31, and I can assist you in determining whether it is unusual.

(a) Transform the age to a z-score: To transform the age to a z-score, we need the mean and standard deviation of the age distribution. Please provide those values so that I can assist you further.

(b) Interpret the results:

Without the z-score, it is not possible to interpret the results accurately. Once you provide the mean and standard deviation of the age distribution or any specific values, I can help you interpret the results.

(c) Determine whether the age is unusual:

To determine whether an age value is unusual, we need the z-score corresponding to that age value.  the z-score for an age of 31, and I can assist you in determining whether it is unusual.

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Answer:

-11/10

Step-by-step explanation:

-7/10-2/5

-7/10-4/10

-11/10

Answer:4

x

+

8

=

32

Step-by-step explanation:Isolate for

x

. Start by subtracting

8

from both sides of the equation.

4

x

+

8

−

8

=

32

−

8

4

x

=

24

Divide both sides of the equation by

4

.

4

x

4

=

24

4

x

=

6

Answer:

10

Step-by-step explanation:

4x-8=32

4x=32+8

4x=40

x=40/4

x=10

The largest value that should appear on the x-axis assuming that the tick marks will be separated by 5 is 95.

Since the tick marks are separated by 5, we can start with the smallest tick mark at 0 and add 5 for each subsequent tick mark.

To determine the largest value that should appear on the x-axis, we need to find the largest multiple of 5 that is less than or equal to the largest value in the data set. In this case, we don't have any information about the data set, so we can't determine the largest value.

However, we can assume that the x-axis should be long enough to accommodate the largest value that we expect to see. If we assume that the largest value is 100, then the largest multiple of 5 that is less than or equal to 100 is 95.

Therefore, the largest value is 95.

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Answer:

Step-by-step explanation:

2x+16= 3(x-9)

2x+16= 3x-27

3x-2x^^

16= x-17

16+17

x= 33

Answer:

x=43

Remove parentheses, move the terms, collect the terms, calculate, change the signs!

Answer:

s = 17 units

Step-by-step explanation:

In triangle ABD,

(AB)² + (BD)² = (AD)² (by Pythagoras Theorem)

=> 8² + 15² = s²

=> 64 + 225 = s²

=> s = \(\sqrt{289}\)

=> s = 17 units

Hope it helps :)

Please mark my answer as the brainliest

Answer:

Hey there :) The answer is 0.25 minutes.

Step-by-step explanation:

1 minute = 60 seconds

So, 15 ÷ 60 = 0.25 minutes

Answer:

151.18

Step-by-step explanation:

I can't really show my work on this, sorry.

Answer:

151.18

Step-by-step explanation:

210.58-59.40=151.18

For the following net shapes:

Question 5:

The cardboard needed to make the chocolate bar box is; The four faces are two triangles and two rectangles. The area of a triangle is (1/2)bh, where b = base and h = height. The area of a rectangle is bh.

The two triangles have bases of 6 cm and 5 cm and heights of 30 cm. The two rectangles have dimensions of 6 cm by 5 cm and 4 cm by 5 cm.

The total area of the four faces is:

(1/2)(6)(30) + (1/2)(5)(30) + 6(5) + 4(5) = 564 sq. cm.

So the answer is 564

Question 7

The area of the image is the sum of the areas of the three rectangles. The three rectangles have dimensions of 3 ft by 1 ft, 1 ft by 1 ft, and 4 ft by 1 ft.

The total area of the three rectangles is:

3(1) + 1(1) + 4(1) = 8 square feet

So the answer is 8

Question 9:

The surface area of a cube is the sum of the areas of all the faces of the cube. A cube has six faces, each of which is a square. The area of a square is equal to the square of the length of its side. In this case, the side length of the cube is 7 mm, so the area of each face is 7² = 49 square mm.

The total surface area of the cube is therefore 6 × 49 = 294 square mm.

So the answer is 294

Question 10:

The surface area of a rectangular prism is the sum of the areas of all its faces. A rectangular prism has six faces, each of which is a rectangle. The area of a rectangle is equal to the product of its length and width.

In this case, the rectangular prism has dimensions of 9 inches by 6 inches by 7 inches. The area of each face is therefore:

Top and bottom: 9 × 6 = 54 square inches

Front and back: 6 × 7 = 42 square inches

Left and right: 9 × 7 = 63 square inches

The total surface area of the rectangular prism is therefore:

2 × 54 + 2 × 42 + 2 × 63 = 336 square inches

So the answer is 336

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The interest payment and the principal repayment for the first payment are:-

Interest: -$12,213.48

Principal repayment: $14,980

1. Calculation of annual loan payments:

Present value = $14,000

Number of periods = 6

Annual interest rate = 7%

Payment per period = ?

Formula for payment per period in amortized loan: PV = Pmt × [1 – (1 + r/100)-n]/(r/100)

Where, PV = Present Value

Pmt = Payment per period

r = Annual interest rate

n = Number of periods

On substituting the values, we get: $14,000 = Pmt × [1 – (1 + 7/100)-6]/(7/100)

Pmt = $2,766.52

Approximate answer: $2,766.522.

Calculation of interest and principal repayment for the first payment: Principal repayment for the first payment: Out of the total loan of $14,000, the first payment will be made after a year.

Hence, the present value of the loan will be equal to the future value of the principal repayment. The interest rate for one year is 7%, and hence future value of the principal is:$14,000 × (1 + 7/100) = $14,980

Interest payment for the first payment: The total payment for the first year is $2,766.52. Out of this amount, the principal repayment is $14,980 and the remaining amount is interest payable. Hence, interest payable for the first year = Total payment - Principal repayment = $2,766.52 - $14,980 = -$12,213.48 (negative value)

Therefore, the interest payment and the principal repayment for the first payment are:- Interest: -$12,213.48- Principal repayment: $14,980

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Answer:

c = 5

Step-by-step explanation:

13² - 12² = c²

169 - 144 = c²

√25 = c

5 = c

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Cal must earn at least $130 on his next paycheck in order to reach his goal of at least $131 average weekly income.

To determine the lowest amount on Cal's next paycheck that he must earn in order to reach his goal of at least $131 average weekly income, we need to consider the current total income and the number of weeks.

Cal's first two weekly paychecks were $128 and $135, so his current total income is $128 + $135 = $263.

To calculate the lowest amount on his next paycheck, we can set up an equation:

(263 + x) / 3 ≥ 131

Here, x represents the amount of Cal's next paycheck.

Simplifying the equation:

263 + x ≥ 131 * 3

263 + x ≥ 393

x ≥ 393 - 263

x ≥ 130

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Answer:

I can't see the last answer choice.

9/LM = 6/4.5

Step-by-step explanation:

9cm is to 6cm as LM is to 4.5cm

9/6 = LM/4.5

Rewriting:  9/LM = 6/4.5

Answer:

C. producer

Step-by-step explanation:

producers are plants and they provide food and shelter for small animals and stuff.

The steps to algebraically solve a system of linear and quadratic equations involve solving each equation for y, solving for x, setting the two equations equal to each other, and inserting the x value back into one of the equations to find the corresponding y value.

1. To algebraically solve a system of linear and quadratic equations, the following steps can be used: 1) Solve each equation for y. 2) Solve for x. 3) Set the two equations equal to each other. 4) Insert the value of x back into one of the equations to find the corresponding y value.

2. To begin solving a system of linear and quadratic equations, it is often helpful to isolate the variable y in both equations. This involves rearranging the equations so that y is on one side and all other terms are on the other side. Once both equations are solved for y, we can move on to the next step.

3. The next step is to solve for x. With the equations in terms of y, we can substitute one equation into the other, setting them equal to each other. This allows us to eliminate the variable y and solve for x. By solving the resulting equation, we obtain the value of x.

4. After finding the value of x, we can proceed to the final step. We substitute this x value back into one of the original equations to determine the corresponding y value. This completes the process of solving the system of equations, providing us with the solution in terms of x and y.

5. In summary, the steps to algebraically solve a system of linear and quadratic equations involve solving each equation for y, solving for x, setting the two equations equal to each other, and inserting the x value back into one of the equations to find the corresponding y value. These steps help in finding the values of x and y that satisfy both equations simultaneously, giving the solution to the system of equations.

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The inverse of the statement is M be the point on PQ since PM is congruent to QM than M is midpoint on the PQ.

Inverse of the statement means that explain the condition in reverse way or vice versa.

Since, M is the midpoint of PQ, then PM is congruent to QM.
Proving in reverse way, let m be the point between P and Q the distance M from P is equal to the distance from M to Q. Which implies that M lies as the mid of the P and Q.

Thus, the inverse of the statement is M be the point on PQ since PM is congruent to QM than M is midpoint on the PQ.

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Hence the given statement if p is an invertible m x m matrix, then rank PA = rank A is proved.

what is invertible matrix?

An invertible matrix is a matrix for which matrix inversion operation exists, given that it satisfies the requisite conditions.

proof:

Let A be an m × m matrix and P be an invertible m × m matrix.

We know that Rank(A) is the number of non-zero rows in A based on the definition of matrix rank.

Therefore,

Rank(PA) = Number of non-zero rows in PA

Therefore,

Rank(PA) = Number of non-zero rows in PA

               = Number of non-zero rows in A

               = Rank(A)

Hence, we can conclude that if P is an invertible m × m matrix, then Rank(PA) = Rank(A).

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The cone has a radius of 4 feet and a height of 6 feet when its volume is 32. A volume expression is used to describe an object's capacity.

Space is occupied in some way by every three-dimensional object. This region's size is measured in terms of volume. An object's volume is the area that it takes up inside of its three-dimensional boundaries. It might also be called the object's capacity. Volume serves as a unit of measurement for an object's capacity. For example, if a cup can carry 100 ml of water in its brim, it is said to have a 100 ml capacity. Volume is another name for how much room a three-dimensional object occupies.

given

A weight of 712.04 grams is provided.

Where B is the area of the base and h is the cone's height, we can calculate the volume of the cone as V = 1/3 B * h.

32 π = 1/3 B x 6 ft.

96 π = B x 6 ft.

16 π = B

Its radius is,

B =   π r², where r is the cone's radius, is the area formula for a circle.

16 π = π r²

16 = r²

r = 4 ft

The cone has a radius of 4 feet and a height of 6 feet when its volume is 32. A volume expression is used to describe an object's capacity.

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Answer:

4 in.

Step-by-step explanation:

4 inches not 4 feet.

Answer:

x=7

Step-by-step explanation:

You graph it and find the middle point that would create a line through it and see where it his the x-axis.

The value of c in the joint probability density function f(x, y) is determined by integrating the function over the entire domain, which results in c = 3/2.

The given joint probability density function is defined for -y ≤ x ≤ y and 0 < y < infinity. To find the constant c, we need to integrate the given function over the given range of x and y and set it equal to 1 (since it is a probability density function).

Integrating f(x,y) with respect to x from -y to y gives c(y^2 - x^2), which can be further integrated with respect to y from 0 to infinity to get 1 = c*(2/3). Thus, c = 3/2.

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Answer:

You are correct

Step-by-step explanation:

According to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

According to the liquidity preference hypothesis, the interest rate for a long-term investment is expected to be equal to the average short-term interest rate over the investment period. In this case, the expected forward rate for the third year is stated as 4.28%.

To calculate the expected forward rate for the third year, we first need to calculate the prices of zero-coupon bonds for each year. Let's start by calculating the price of a four-year zero-coupon bond, which is determined to be $731.74.

The rate of return on a four-year zero-coupon bond is then calculated as follows:

Rate of return = (1000 - 731.74) / 731.74 = 0.3661 = 36.61%.

Next, we use the yield of the four-year zero-coupon bond to calculate the price of a three-year zero-coupon bond, which is found to be $526.64.

The expected rate in the third year can be calculated using the formula:

Expected forward rate for year 3 = (Price of 1-year bond) / (Price of 2-year bond) - 1

By substituting the values, we find:

Expected forward rate for year 3 = ($959.63 / $865.20) - 1 = 0.1088 or 10.88%

If ∆ (delta) is 1%, we can calculate the expected forward rate in the third year as follows:

Expected forward rate for year 3 = (1 + 0.1088) × (1 + 0.01) - 1 = 0.1218 or 12.18%

Therefore, according to the liquidity preference hypothesis, the expected forward rate in the third year, when ∆ is 1%, is 12.18%.

Additionally, the yield to maturity on a three-year zero-coupon bond can be calculated using the formula:

Yield to maturity = (1000 / Price of bond)^(1/n) - 1

Substituting the values, we find:

Yield to maturity = (1000 / $526.64)^(1/3) - 1 = 0.1035 or 10.35%

Hence, the yield to maturity on a three-year zero-coupon bond is 10.35%.

In conclusion, according to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

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The probability is 0.2137

Explanation:

Given a particular telephone number is used to receive both voice calls and fax messages. Suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls.

The probability that in a sample of 25 incoming calls, exactly 5 of them involve fax messages is calculated as follows;

P(X = 5) = 25C5(0.25)⁵(0.75)²⁰= 53130(0.25)⁵(0.75)²⁰= 0.2137

Therefore, the probability that in a sample of 25 incoming calls, exactly 5 of them involve fax messages is 0.2137.

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To find the quantity that will maximize profit, we need to first calculate the total revenue and total cost functions. Total revenue is given by the product of the price and quantity, which is p*x.

Therefore, the total revenue function is R = (700-1/2x)*x = 700x - 1/2x^2. Total cost is given by the sum of the average fixed cost and average variable cost, which is C = 400 + 2x. Therefore, total cost function is C = (400+2x)*x = 400x + 2x^2.

Next, we can find the profit function by subtracting total cost from total revenue:
P = R - C = 700x - 1/2x^2 - 400x - 2x^2 = -5/2x^2 + 300x.

To maximize profit, we need to take the first derivative of the profit function and set it equal to zero:
dP/dx = -5x + 300 = 0
x = 60

Therefore, the quantity that will maximize profit is 60 units.

To find the selling price at this optimal quantity, we can substitute x=60 into the demand function:
p = 700 - 1/2(60) = $670 per unit.

Therefore, the selling price at this optimal quantity is $670 per unit.

To find the maximum profit, we can substitute x=60 into the profit function:
P = -5/2(60)^2 + 300(60) = $12,000.

Therefore, the maximum profit is $12,000.

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Answer:

A) 15

Step-by-step explanation:

a = 3   b = 5  c = 7

a + b + c

3 + 5 + 7 = 15

Answer:

I believe it is A 15

Step-by-step explanation: