Somebody help me w this!!!

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of phones produced abroad and y represent the number of phones produced locally.

The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:

30x + 20y = 6000            (1)

Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:

20x + 60y = 12000           (2)

Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:

70x = 6000

x = 600/7 ≈ 86

Put x = 86 in equation 1:

30(86) + 20 y = 6000

20y = 3420

y = 171

86 phones should be produced abroad and 171 phones locally

Answer:

0.765 km

Step-by-step explanation:

85*9=765 m

765/1000 to get km

0.765 km

Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

Answer:

\(28a {}^{2} + 47a + 15\)

Step-by-step explanation:

Multiply what's inside the brackets with the outside brackets:

\((4a + 5)(7a + 3) = \)

\((4a \times 7a) + (4a \times 3) + (5 \times 7a) + (5 \times 3) = \)

\(28a {}^{2} + 12a + 35a + 15 = \)

\(28a {}^{2} + 47a + 15\)

\(\textit{sum of all interior angles in a regular polygon}\\\\ \theta n=180(n-2) ~~ \begin{cases} \theta =\stackrel{degrees}{angle}\\ n=\stackrel{side's}{number}\\[-0.5em] \hrulefill\\ n=13 \end{cases}\implies \theta (13)=180(13-2) \\\\\\ 13\theta =180(11)\implies 13\theta =1980\implies \theta =\cfrac{1980}{13}\implies \theta \approx 152.3^o\)

The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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Answer:

b; vertically compressed by a factor of 2

Step-by-step explanation:

Here, we want to select from the options, the transformation that was not done on the parent function;

a) shifted up seven units

This was done

as we can see, we have + 7 from the initial 0 point

b) vertically compressed by a factor of 2

This is wrong

What we had is 1/2 multiplied by x

If there is any compressor done, it is to a factor of 1/2 and not 2

This, is thus our answer

The measure of ∠A is greater than the measure of ∠D

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

The positions of the swing

By comparing the angle measurements, we have

∠A > ∠D

The above is true if

The segments AB and DE are congruent

Hence, the measure of ∠A is greater than the measure of ∠D

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Answer:

'x' only has one solution

Step-by-step explanation:

First multiply both sides by 'x^2'

40x = -5x^2

(bring both values to one side and factorize to solve for 'x')

5x^2 +40x=0

5x(x+8)=0

5x= 0 ; x+8 = 0

x=0 ; x=-8

x cannot equal to '0' as zero cannot be a denominator.

Hence, x=-8 is the only correct solution.

So, 'x' only has one solution.

The matrix A does not eigenvector v corresponding to the given eigen value.

λ.A = [ -11  60 ]

v = [ 1   3λ ]

v is an eigenvector of A calculate corresponding eigenvalue,

A × v = λ × v

where A is the given matrix.

v is the given vector.

λ is the corresponding eigenvalue.

× denotes matrix multiplication.

Let's first calculate A × v we have,

A × v

= [-11 60] × [ 1 3λ]

= [-11-33λ    60+ 180λ]

Check A× v is equal to λ × v ,

λ × v =

λ × [ 1 3λ]

= [λ  3λ^2]

Set these two vectors equal to each other and get the following system of equations ,

-11-33λ = λ  __(1)

60+ 180λ = 3λ^2  ___(2)

From equation (1) we get,

⇒34λ = -11

⇒ λ = -11/34

Substituting this value of λ into the second equation, we have,

60+ 180λ = 3λ^2

⇒ 60 + 180(-11/34) = 3(-11/34)^2

⇒ (2040 -1980)/ 34 = 3(-11/34)^2

⇒ 60/34 = 3( 11/34)^2

⇒ 60 × 34 = 3 × 11 × 11

⇒20× 34 = 11 × 11

Which is not true.

so the value of λ does not satisfies both equations.

Therefore, v is not an eigenvector of A with corresponding eigenvalue λ.

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The above question is incomplete, the complete question is:

Check whether v is an eigen vector of A  if yes find the corresponding eigen value.

λ.A = [ -11  60 ]

v = [ 1   3λ ]

f is constant on [a,b], which proves Theorem 17.3.

Theorem 17.3: If f is continuous on [a,b] and differentiable on (a,b), and if f'(x) = 0 for all x in (a,b), then f is constant on [a,b].

Theorem 17.5: If f is continuous on [a,b] and differentiable on (a,b), and if f'(x) = g'(x) for all x in (a,b), then there exists a constant C such that f(x) = g(x) + C for all x in [a,b].

Proof of Theorem 17.3 using Theorem 17.5:

Let f be a function that satisfies the conditions of Theorem 17.3. Then f'(x) = 0 for all x in (a,b).

Define g(x) = 0 for all x in [a,b]. Then g'(x) = 0 for all x in (a,b).

Since f'(x) = 0 = g'(x) for all x in (a,b), by Theorem 17.5, there exists a constant C such that f(x) = g(x) + C for all x in [a,b]. That is, f(x) = C for all x in [a,b].

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Solution

Transform figure using the rule (x , y) = (-x , y - 8)

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

\(a=-1\)

Using the midpoint formula directly from the topic meaning

\(\frac{x_{1}+x_{2} }{2} or \frac{y_{1}+y_{2} }{2}\)

so

\(\frac{a+a+4}{2} =1\\a=-1\)

Using the volume x³ + 10x² + 19x  - 30, the missing side of the rectangular prism is (x + 6)

Two sides of a rectangular prism are x + 5 and x - 1. The volume of the rectangular prism is given as x³ + 10x² + 19x  - 30.

Let's find the missing side of the rectangular prism.

Therefore,

volume of a rectangular prism = lwh

where

Therefore,

volume of the prism = x³ + 10x² + 19x  - 30

Let's factorise it to find the missing side length

x³ + 10x² + 19x  - 30  = 0

(x - 1)(x² + 11x + 30)

let's factorise x² + 11x + 30

x² + 11x + 30

x² + 5x + 6x + 30

x(x + 5) + 6(x + 5)

(x + 6)(x + 5) = 0

Therefore, the side length of the rectangular prism are (x - 1), (x + 5) and (x + 6)

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B or a because they are negative  numbers

To find the surface area of the new rectangular prism after subtracting 8 from the length, we need to consider the effect on each face.

The original rectangular prism has six faces:

Top face: Area = l * w

Bottom face: Area = l * w

Front face: Area = l * h

Back face: Area = l * h

Left side face: Area = w * h

Right side face: Area = w * h

After subtracting 8 from the length, the new length becomes (l - 8). The other dimensions (width and height) remain unchanged.

The surface area of the new rectangular prism can be calculated as follows:

Top face: Area = (l - 8) * w

Bottom face: Area = (l - 8) * w

Front face: Area = (l - 8) * h

Back face: Area = (l - 8) * h

Left side face: Area = w * h

Right side face: Area = w * h

To find the total surface area, we add up the areas of all six faces:

Total Surface Area = 2 * (l - 8) * w + 2 * (l - 8) * h + w * h

So, the surface area of the new rectangular prism in terms of l, w, and h is given by the expression:

2 * (l - 8) * w + 2 * (l - 8) * h + w * h

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(OCF): OCF = Net Income + Depreciation & Amortization - Changes in Working Capital, (CapEx): CapEx = Investment in Property, Plant & Equipment + Investment in Intangible Assets. therefore, (FCFF): FCFF = OCF - CapEx

The Free Cash Flow to Firm (FCFF) is a measure of a company’s cash flow available for distribution to shareholders and debt holders. To calculate FCFF, the following three steps are taken:

1. Calculate Operating Cash Flow (OCF): OCF is calculated by taking net income, adding back depreciation and amortization, and subtracting any changes in working capital.

2. Calculate Capital Expenditures (CapEx): CapEx includes investments in property, plant, and equipment, as well as any investments in intangible assets.

3. Calculate Free Cash Flow to Firm (FCFF): FCFF is calculated by subtracting CapEx from OCF. This figure represents the cash flow available for distribution to shareholders and debt holders.

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Answer:

c) at least seven

Step-by-step explanation:

Answer:

5323

Step-by-step explanation:

453

Answer:

C(p) = 0.25p + 5

Step-by-step explanation:

$5 is the amount of money you have to pay when you don't get a pumpkin (a pumpkin that's 0 lbs), so the y-intercept is 5. 0.25 is the rate at which the price increases as the weight increases, so the slope is 0.25.

m = slope, b = y-intercept

C(p) = mp + b

C(p) = 0.25p + 5

Answer:

B. ΔRMS ≅ ΔRQS by AAS

I just took the test :)

Answer:B

Step-by-step explanation:just took the test

If the triangles are similar but no congruent, then the triangles have different size, thus the only correct option is the dilation (first option).

We know that two figures are congruent if the figures have the same shape and size, while two figures are similar only if have the same shape (but the figures can have different size).

Here we know that the triangles are similar but no congruent, so the triangles must have different size. From the given transformations, the only one that changes the size is the first option, a dilation.

And for example, if we apply a dilation AND the other transformations, then we still will get a similar figure, but if we apply a reflection/rotation/translation alones, we will get a congruent triangle.

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At most, they can wash 96 cars and mow 96 lawns.

To determine the maximum number of cars they can wash and lawns they can mow, we need to consider the work rates of each person and the total number of hours they work.

Huey can wash 6 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 6 \(\times\) 8 = 48 cars or mow 3 \(\times\) 8 = 24 lawns.

Dewey can wash 3 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 3 \(\times\) 8 = 24 lawns.

Louie can wash 3 cars or mow 6 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 6 \(\times\) 8 = 48 lawns.

Since two of them wash cars and one mows lawns, the maximum number of cars they can wash is the sum of the maximum cars each person can wash, which is 48 + 24 + 24 = 96 cars.

The maximum number of lawns they can mow is the sum of the maximum lawns each person can mow, which is 24 + 24 + 48 = 96 lawns.

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Answer:

k = -3 or 5

Step-by-step explanation:

The given parameters are;

The line extends from points (-1, 1) to point (2, k)

The length of the line = 5 units

The formula for the length, l, of a line given its coordinates can be  found by the following formula;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Therefore, we have;

\(5 = \sqrt{\left (k-1 \right )^{2}+\left (2-(-1) \right )^{2}}\)

Which, by squaring both sides, gives;

25 = (k - 1)² + (2 - (-1))² = (k - 1)² + (2 + 1)² = (k - 1)² + 3²

25 = (k - 1)² + 3² = k² - 2·k + 1 + 9

25 - 25 = 0 = k² - 2·k + 1 + 9 - 25 = k² - 2·k - 15

0 = k² - 2·k - 15

0 = (k +3) × (k - 5)

Therefore, k = -3 or 5

When k - -3, we have;

\(\sqrt{\left ((-3)-1 \right )^{2}+\left (2-(-1) \right )^{2}}= \sqrt{(-4)^2+3^2} = \sqrt{16 + 9} = \sqrt{25} = 5\)

When k = 5, we have;

\(\sqrt{\left (5-1 \right )^{2}+\left (2-(-1) \right )^{2}}= \sqrt{4^2+3^2} = 5\)

Avery write an explicit equation is  t(n)=19+(n-1)*(-2)=21-2n and a  Collin write a recursive equation is t(n+1)=t(n)/6-10/3.

What is explicit equation & recursive equation?

A closed-form expression or a mathematical expression expressed in terms of a limited set of well-known functions are examples of explicit formulas. the mathematical formula expressed analytically, using a limited or infinite number of well-known functions.

A recursive function is one that generates a series of phrases by repeating or using its own prior term as input. The arithmetic-geometric sequence, which has words with a common difference between them, is typically the basis on which we learn about this function.

To write an explicit equation, we can use the given recursive equation and find the value of the first term, t(1).

Substituting n=1 into t(n+1)=t(n)−2

gives t(2)=t(1)−2.

We know that t(2)=19, so t(1)=19+2=21.

Thus, the explicit equation for the sequence is t(n)=19+(n-1)*(-2)=21-2n. This is an arithmetic sequence.

To write a recursive equation, we can use the explicit equation that Avery wrote, t(n)=6n+8.

Rearranging this equation gives n=(t(n)-8)/6.

Substituting this expression into the recursive equation t(n+1)=t(n)−2 gives t(n+1)=(t(n)-8)/6−2.

Expanding t(n) on the right-hand side and simplifying gives t(n+1)=t(n)/6-10/3.

A explicit equation is  t(n)=19+(n-1)*(-2)=21-2n and a recursive equation is t(n+1)=t(n)/6-10/3.

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Answer: The width of the rectangle is 9 feet and the length is 18 feet.

Step-by-step explanation:

Let's use algebra to solve the problem.

Let w be the width of the rectangle in feet. Then, the length of the rectangle is 9 feet longer than its width, so the length is w + 9 feet. The area of the rectangle is the product of its length and width, so:

Area = (w + 9)w = w^2 + 9w

If each side of the rectangle is increased by 9 feet, then the new width is w + 9 feet and the new length is (w + 9) + 9 = w + 18 feet. The new area is 3 times the original area, so:

3(Area) = 3(w^2 + 9w)

We can set these two expressions for the area equal to each other and solve for w:

w^2 + 9w = 3w^2 + 27w

2w^2 - 18w = 0

2w(w - 9) = 0

w = 0 (extraneous solution) or w = 9

Since w cannot be 0, the width of the rectangle is 9 feet. The length is 9 feet longer than the width, so the length is w + 9 = 18 feet.

To check our answer, we can calculate the original area:

Area = 9 × 18 = 162 square feet

If we increase each side by 9 feet, the new area should be 3 times this amount:

(9 + 18) × (18 + 9) = 27 × 27 = 729 square feet

729 ÷ 162 = 3, so the new area is indeed 3 times the original area.

Therefore, the width of the rectangle is 9 feet and the length is 18 feet.

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Answer:

BC = 46cm

option D) $3,386,617