Jay earns $8 an hour when he works at his uncle’s store. He earns $9 an hour when he does yard work for his neighbor. Which expression represents the total amount he will earn in a week when he works u hours at his uncle’s store and v hours doing yard work for his neighbor?
8 u + 9 v
8 (u minus v) + 9 (v minus u)
17 u v
17 (u + v)

Answer:

It would be (2,5)

Step-by-step explanation:

Right 2

and flip

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Answer:

47

Step-by-step explanation:

To solve for taxes in equilibrium, we can start by substituting the given equations into the equation for YD:

YD = Y - T

Since C and T are constant, we can write:

YD = (c0 + c1YD) - (t0 + t1Y)

Now, we can rearrange the equation to isolate YD:

YD = c0 + c1YD - t0 - t1Y

Simplifying further:

YD - c1YD = c0 - t0 - t1Y

Factoring out YD:

YD(1 - c1) = c0 - t0 - t1Y

Dividing both sides by (1 - c1):

YD = (c0 - t0 - t1Y) / (1 - c1)

Now, let's analyze the effects of a drop in c0. If c0 decreases, it implies that consumption decreases. As a result, YD will decrease, leading to a decrease in Y. Taxes will also decrease because they are determined by YD.

If the government cuts spending to balance the budget, it will lead to a decrease in G. This decrease in spending will reduce Y and further decrease YD. However, the impact on Y will depend on the magnitude of the cut in spending.

If the cut in spending is significant, it can counteract the decrease in output caused by the drop in c0. On the other hand, if the cut in spending is small, it may reinforce the effect of the drop in c0 on output. The overall effect on Y will depend on the relative magnitudes of the changes in c0 and G.

A drop in c0 will decrease both Y and taxes in equilibrium. If the government cuts spending to balance the budget, the effect on Y will depend on the magnitude of the cut in spending relative to the decrease in c0.

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The cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).

In equilibrium, taxes can be solved using the given equations:

C = c₀ + c₁YD

T = t₀+ t₁Y

YD = Y – T

To find taxes in equilibrium, we need to substitute the value of YD into the equation for taxes:

T = t₀ + t₁YD

Now, let's analyze the impact of a drop in c₀ on output (Y) and taxes (T).

When c₀ decreases, it means that the intercept of the consumption function (C) decreases.

This results in a decrease in consumption at every level of income. As a result, the aggregate demand decreases, leading to a decrease in output (Y).

The decrease in output (Y) leads to a decrease in income and, consequently, a decrease in disposable income (YD).

Since taxes (T) depend on disposable income, a decrease in YD will lead to a decrease in taxes (T).

Next, let's consider the effect of a government spending cut to balance the budget.

When the government cuts spending to balance the budget, it reduces its expenditure (G) without changing its tax revenue (T).

This reduction in government spending decreases aggregate demand, which in turn reduces output (Y).

However, since the government is keeping the budget balanced, the decrease in government spending is offset by the decrease in taxes (T) that occurs as a result of the decrease in output (Y).

Therefore, the cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).

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Answer:

x = 23

Step-by-step explanation:

(8x - 27) and (7x - 4) are corresponding angles and are congruent, so

8x - 27 = 7x - 4 ( subtract 7x from both sides )

x - 27 = - 4 ( add 27 to both sides )

x = 23

Answer:

x = 23

Step-by-step explanation:

Answer:

a = 37°

b = 34°

c = 143°

Step-by-step explanation:

Hello!

The measure of Angle A is 37°, because 37° and Angle A are vertical angles, meaning they are equal in measure.

Vertical Angles are the non-adjacent angles formed by the intersection of two lines, and are equal in measure.

The measure of Angle C is 143°, found by subtracting 37° from 180°, the total number of degrees on a line.

The measure of Angle B is 34°, found by subtracting 109° and 37° from 180°. Angle B is inside a triangle, and the sum of angles in a triangle is 180°. The other two angles are 109° and 37° (Angle A), so the measure of Angle B should be 34°.

Answer:

hgyuu by 7vb j 8gv c ryuug

Answer:

\(\displaystyle \\\sum_{k=0}^4 45-2.5k=200\)

Step-by-step explanation:

We start off with the term 45 and decrease by 2.5 each term, ending with four 2.5's subtracted from 45.

Therefore, our index starts at k=0 and ends at 4. The general term can be defined then as \(\displaystyle \\\sum_{k=0}^4 45-2.5k\) and evaluating yields 200.

Answer:

A. x^27/10

B. 1/x^-27/10

Step-by-step explanation:

Mathematically, if we have the same base, we simply add up the index

Thus, we have that;

x^1/5•x^5/2 = x^(1/5 + 5/2) = x^(2 + 25)/10 = x^27/10

A) In the first form, we have that;

x^27/10

a = 27/10

B) We simply negate what we have above in terms of the index according to the indices law below;

a^b = 1/a^-b

Hence, we have that;

1/x^-27/10

Answer: the answer is 9 hours 45 minutes

Answer:

D

Step-by-step explanation:

It's D because 60 +70 +(180-130)=180

= 60+70+50=180

Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1  

Answer: (11-4)*5

Step-by-step explanation:

dim[Null(A)] = 7 - 4 = 3. Hence, the correct answer is option A. 3, which represents the dimension of the null space of matrix A.

The given expression is (AX^(-1)B^(-1))^(-1) = C. We need to determine the expression for matrix X.

To simplify the given expression, we can start by taking the inverse of both sides:

(AX^(-1)B^(-1)) = C^(-1)

Next, we can rearrange the equation by multiplying both sides by the inverse of B and A:

AX^(-1) = C^(-1)B

Now, to solve for X, we can multiply both sides by the inverse of A:

X^(-1) = A^(-1)C^(-1)B

Finally, taking the inverse of both sides, we get the expression for X:

X = (A^(-1)C^(-1)B)^(-1)

Therefore, the correct answer is option B. A^(-1)B^(-1)C. This expression represents the matrix X in terms of the given matrices A, B, and C.

For the second question, we are given that matrix A is of size 5x7 and Rank(A) = 4. The dimension of Null(A), also known as the nullity of A, can be calculated using the rank-nullity theorem.

According to the rank-nullity theorem, the dimension of the null space of a matrix is equal to the difference between the number of columns and the rank of the matrix. In this case, dim[Null(A)] = number of columns - Rank(A).

Therefore, dim[Null(A)] = 7 - 4 = 3.

Hence, the correct answer is option A. 3, which represents the dimension of the null space of matrix A.

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To calculate the flux of the vector field F = (x/e)i + (z-e)j - xyk across the surface S, which is the ellipsoid x²/25 + y²/5 + z²/9 = 1, we can use the divergence theorem.

The divergence theorem states that the flux of a vector field across a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface.

First, let's calculate the divergence of F:

div(F) = (∂/∂x)(x/e) + (∂/∂y)(z-e) + (∂/∂z)(-xy)

= 1/e + 0 + (-x)

= 1/e - x

To calculate the surface integral of the vector field F = (x/e) I + (z-e)j - xyk across the surface S, which is the ellipsoid x²/25 + y²/5 + z²/9 = 1, we can set up the surface integral ∬S F · dS.

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Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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Answer:

14.0625 = \(\frac{225}{16}\)

6.41666666666... = \(\frac{77}{12}\)

Hope that this helps!

The option that would give the most money after 2 years would be Option 1.

The amount that Option 1 would give after 2 years is:

= Amount invested x ( 1 + rate / number of periods ) ^ number of periods in quarters

= 1, 000 x ( 1 + 12 % / 4 ) ⁴ ˣ ²

= $ 1, 267

The amount Option 2 would give after 2 years with continuous compounding is:

= Amount to invest x e ^ ( rate  x number of periods)

= 1, 000 x e ^ ( 6 % x 2 years )

= $1, 127 .50

Option 1 is the better option.

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Answer:

B. It is between 4 and 5

Step-by-step explanation:

When you square 4 you get 16. Do the same to 5 and you get 25.

Answer:

y = (- 4/3) x + 2

Step-by-step explanation:

Remark

The y intercept is (0,2)

The other point is you could use is (3,-2)

First find the slope

The two given points are (0,2) and (3,-2)

Givens

y2 = - 2

y1 = 2

x2 = 3

x1 = 0

Formula

m = (y2 - y1)/(x2 - x1)

Solution for m

m = (-2 - 2)/(3-0)

m = -4/3

Solution for the line

m = - 4/3

y intercept = 0,2

y = mx + b

y = (- 4/3) x + 2

Answer:

5x - 30 = 176

Step-by-step explanation:

5/8 = 22/(x-6)

Cross multiply.

5(x-6) = 22 × 8

Expand and multiply.

5x - 30 = 176

\(\frac{5}{8} = \frac{22}{x-6} \\\)

5(x-6) = 22 x 8

5x - 30 = 176

Therefore, the correct answer is 5x - 30 = 176.

Answer:

1185 bin

Step-by-step explanation:

i rounded so i and i multiply and didved and i got that i got 1185 bin

Answer:

if your solving for y the answer would be y= - 3sin(2x)+3cos(2x)X√3 -1,x∈R /2

Step-by-step explanation:

If you also want extra help with these math problems you can also download Photomath

Answer:

Formula for circumference;

C = 2πr

replace those values

C = 2 x 3.14 x 9

C = 56.52 inches, C

Answer:

The circumference would be 56.52

Step-by-step explanation:

Place your radius into the formula for circumference (C=2πr)

C = 2 × 3.14 × 9

C = 56.52

Answer:

56

Step-by-step explanation:

The easiest way to solve this is by cross multiplying. We can make an equation to find the answer of this by simply taking a side from each triangle and then the variable and equal side on the other triangle, shown below.

\(let \: \: ? = x\)

\( \frac{7}{49} = \frac{8}{x} \)

Now we solve with cross multiplication

\(7 x = 392 \\ x = 56\)

Now we know the mystery number is 56

Answer:

Step-by-step explanation:

600 ml

A study was conducted in order to explore the relationship between the number of beers a person drinks, and his/her blood alcohol content. This is an example of Case Q→Q.

In the given question, a study was conducted in order to explore the relationship between the number of beers a person drinks, and his/her blood alcohol content. We have to explain this study is an example of.

As the quantity of beer cans increases, the BAC readings rise as well. All points are also getting closer to a linear pattern. As a result, x and y have a moderately positive and high association.

This is an example of Case Q→Q since the explanatory (number of beers) and response (BAC) variables in this case are both quantitative.

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The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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Answer:0.35

Step-by-step explanation:you will have to multiply 70% by 50% and that would give you your answer