Find the x-intercept and y-intercept for 8x-9y=15

The calculated value of the probability of B is (c) 0.25

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

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

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

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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Answer:

To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:

where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:

Simplifying this equation, we get:

Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Anytime you subtract a negative number, it changes it to adding a positive number.

-2 + 0.7

Since we are adding, we will have an arrow going to the right

-2 + 0.7 = -1.3

Therefore, we will have a point starting at -2, an arrow pointing to the right and stopping at -1.3

Best of Luck!

Answer: hope this helps

Let x be the amount borrowed from the bank that charged 6% interest and y be the amount borrowed from the bank that charged 3.5% interest. We know that:

x + y = 21,000 (the total amount borrowed)

We also know that the total interest after 1 year was $1210. The interest charged by the first bank is 6/100x = 0.06x and the interest charged by the second bank is 3.5/100y = 0.035y.

The total interest is the sum of the interest charged by both banks:

0.06x + 0.035y = 1210

We have two equations:

x + y = 21,000

0.06x + 0.035y = 1210

To find the amount borrowed from each bank, we can use the first equation to solve for one of the variables in terms of the other. For example, we can substitute y = 21,000 - x in the second equation:

0.06x + 0.035(21,000 - x) = 1210

0.06x + 735 - 0.035x = 1210

0.025x = 485

x = 19400

Now, we can substitute this value of x back into the first equation to find the value of y:

y = 21,000 - x

y = 21,000 - 19400

y = 1600

Step-by-step explanation:

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

Keeping the bases and adding the exponents, the simplified expression is:

\(x^{\frac{4}{21}}\)

We keep the bases and add the exponents.

Hence:

\(x^{-\frac{2}{3}} \times x^{\frac{6}{7}} = x^{-\frac{2}{3} + \frac{6}{7}} = x^{\frac{-14 + 18}{21}} = x^{\frac{4}{21}}\)

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Answer:

8 \(\frac{2}{3}\) cups of dough

Step-by-step explanation:

2/3 cup for every dumpling

13 dumplings

x = dough

x = 2/3 * 13

x = 26/3

x = 8 \(\frac{2}{3}\) = 8.667

The MPC can increase or decrease based on various factors such as changes in economic conditions, consumer sentiment, and interest rates

1. Fill-in the missing parts of the table:

Income | Consumption | Saving | MPC | MPS

-------------------------------------------

500   | 510         | -10    | 0.02| 0.98

550   | 545         | 5      | 0.01| 0.99

600   | 620         | -20    | 0.03| 0.97

650   | 614         | 36     | 0.06| 0.94

700   | 648         | 52     | 0.07| 0.93

750   | 680         | 70     | 0.09| 0.91

800   | 820         | -20    | 0.10| 0.90

In the table, the MPC (Marginal Propensity to Consume) is calculated as the change in consumption divided by the change in income. The MPS (Marginal Propensity to Save) is the change in saving divided by the change in income.

To calculate the MPC and MPS for each row:

1. For the first row, the change in consumption is 510 - 500 = 10, and the change in income is also 10. Therefore, MPC = 10/10 = 0.02, and MPS = -10/10 = -1.

2. For the second row, the change in consumption is 545 - 550 = -5, and the change in income is 50. Therefore, MPC = -5/50 = 0.01, and MPS = 5/50 = 0.99.

3. For the third row, the change in consumption is 620 - 600 = 20, and the change in income is also 50. Therefore, MPC = 20/50 = 0.03, and MPS = -20/50 = -0.40.

4. Continue the calculations for the remaining rows using the same approach.

2. How will the MPC change (increase or decrease) based on the following events:

a. The stock market crashes by 20%:

When the stock market crashes, it can lead to a decrease in household wealth and confidence. This can result in a decrease in consumption and a higher propensity to save. As a result, the MPC is likely to decrease because people would be less inclined to spend a larger proportion of their income.

b. Most Americans feel far more optimistic about their future:

If Americans feel more optimistic about their future, they may be more willing to spend and consume. This increase in confidence can lead to a higher MPC as people are more likely to spend a larger proportion of their income rather than save.

c. Real interest rates rise sharply:

When real interest rates rise sharply, it can make borrowing more expensive. This can discourage spending and lead to a decrease in consumption. As a result, the MPC is likely to decrease because people would be less willing to spend a larger proportion of their income when borrowing becomes costly.

In summary, the MPC can increase or decrease based on various factors such as changes in economic conditions, consumer sentiment, and interest rates. These factors influence the willingness of individuals to spend or save a larger proportion of their income.

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The equation of the proportional relationship is y = 2x.

Proportional relationships are relationships between two variables where their ratios are equivalent. A proportional relationship is one in which two quantities vary directly with each other.

Therefore, the proportional relationship can be represented as follows:

y ∝ x

y = kx

where

using (2, 4)

y = kx

4 = 2k

k = 4 / 2

k = 2

Therefore, the equation is y = 2x.

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Answer:

Step-by-step explanation:

First, list the fractions in between. 2.41, 2.42, 2.43, 2.44, 2.45, 2.46, 2.47, 2.48, 2.49, then 2.5. When looking at the list, you can see that 2.45 is halfway between 2.4 and 2.5. One other way to find it is thinking what is between 0 to 10? The answer is 5.

Proof:

Let's start of by solving for the length of AC, which is just the sum of lengths AB and BC, which is 10 + 3 = 13 units.

Because of our second given, AC ≅ EG, we know that EG is also 13 units in length. Also, from our first given, BC ≅ EF, we know that EF is 3 units.

We also know that the length of EG is the sum of lengths EF and FG so we can write the equation

EG = EF + FG

13 = 3 + FG

FG = 10 meaning FG is 10 units

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Answer:

(14,-1)

Step-by-step explanation:

okay so first you need to use the "x=4y+10" in the first equation.

Rewrite as

3(4y+10) +11y=7

Distribute the 3(4y+10)

Rewrite as

12y+30

You'll have the equation

12y +30 +11y= 7

Subtract the 7 from both sides

12y+30+11y-7= 0

Combine like terms

23y+23=0

the best thing to do here is divide the equation by 23.

23/23 = 1

you'll have

y + 1 = 0

this simplifies to

y= -1

use this y value to solve for x

the easiest way to do this is start with the equation

x = 4y +10

Substitute the y for -1

x = -4(-1) +10

x = 4 +10

x = 14

the solution point is

(14,-1)

Answer:

4,261

Step-by-step explanation:

after 23 hours, the number of bacteria =

4,000.

so, after 26 hours = 4,000+ (3/23 ×4000)

= 4,000 + 261 = 4,261

Answer:

7 tenths

21 tenths. 2 ones and 1

7 hundredths.

34, 3,4

7

44, 4 , 4

507

48

6016

Step-by-step explanation:

The statement that describes a key feature of function g if g(x) = f(x + 4) is C. horizontal asymptote of y = 0.

It should be noted that a function is an expression that shows the relationship between the variables.

In this case, the statement that describes a key feature of function g if g(x) = f(x + 4) is that the horizontal asymptote of y = 0.

The horizontal asymptote is vital for guiding the variables

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Answer:

Step-by-step explanation:

45+8x+21+90=180 degree(sum of interior angles of a triangle)

156+8x=180

8x=180-156

8x=24

x=24/8

x=3

Given :

\(F(x)=3(x^2-1)\)

To Find :

the absolute minimum and absolute maximum values of f on the given interval

[-1,2] .

Solution :

Now , getting first order differential equation and equating its equal to zero.

\(\dfrac{d(3x^2-3)}{dx}=0\\\\6x=0\\x=0\)

So , x=0 is critical point .

Now , coefficient of \(x^2\) is positive .

Therefore , it is increasing function after  x=0 .

So , min value will be at , x=0.

\(Min = (0^2-1)\times 3=-3\)

And maximum value will be the maximum at the x=2 because it is increasing function .

\(Max=(2^2-1)\times 3=9\)

Therefore , max and min value is 9 and -3 respectively .

Hence , this is the required solution .

Answer:

The answer is H.

Step-by-step explanation:

By adding the two longer sides, you get 6x+4. if you combine the like terms of the shorter sides and the longer sides, you get the equation 6x+4+2x. 6x+4+2x= 8x+4.

Answer:

Step-by-step explanation:

Its A

Answer:A

Step-by-step explanation:A cylinder with 8 units.

Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

It should be noted that the correct matching of the expressions illustrated will be:

a. (2^3)(2^2) = 32

b. 2^(-2) x 2^(-3) = 1/32

C. (2^3) x (2^-3) = 1

d. (2^2)^3 = 64

e. 2^2/2^3 = 1/2

f. 2^3/2^2 = 2

It should be noted that (2^3)(2^2) will be:

= 2³ × 2²

= 8 × 4

= 32

b. 2^(-2) x 2^(-3) will be illustrated as:

= 1/4 × 1/8

= 1/32

C. (2^3) x (2^-3)

= 8 × 1/8

= 1

d. (2^2)^3

= 4³

= 64

e. 2^2/2^3

= 4 / 8

= 1/2

f. 2^3/2^2

= 2³ / 2²

= 8 / 4

= 2

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Answer:

Does this answer your question − 16 n  +  16

The answer of given the expression is  \(-16n+16\).

Quadratic expression is defined as an expression of the variable with the highest degree power of two.

given that,

\(-m^{2} n+m^{2}\)

Substitute the value of  \(m=-4\) in the expression

⇒ \(-(-4)^{2} n+(-4)^{2}\)

⇒ \(-16n+16\)

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Proving  that the maximum spanning tree of g contains the widest paths between every pair of vertices .

Suppose now we were to add an edge from the widest path into the spanning tree in a place that it won't cause a cycle.

so every path between our two nodes must contain some edge between two previously unconnected nodes.

The weight of the edge we removed was equal to the width of the original path, and because the path was that every edge in the new path must have had more weight than that edge.

This means that our new spanning tree must have strictly more total weight than the original, which contradicts the definition of the original 'maximum' spanning tree.

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We are given the diagrams:

We are required to find the length of AC

When two triangles are similar, the ratio of their corresponding sides are congruent.

Hence, we can write:

Solving for AC:

Answer: 10

Answer:

It 2 that is the mean it is that because the median is the middle score in a set of given numbers. The mode is the most frequently occurring score in a set of given numbers.

Step-by-step explanation:

Answer:

its 0.4 :)

Step-by-step explanation:

Answer:

this is the answer :))

0.4

Answer:

opposite sides are equal

opposite angles are congruent

same side interior angles are complentary

diagonals of a parallelogram bisect each other

Answer:

(5.6x10^4)x(1.3x10^8) = 7.28 x 10^12

Answer: =7.28x100010001

Step-by-step explanation: 5.6x104x(1.3x108)

Simplifies to:

7.28x100010001