Evaluate the expression
(4p - m) = -4 and p=2.

The y-axis reflection of f, followed by a translation 7 units to the right.

A function is a special type of relationship in which each input has exactly one output. In other words, for each input value, the function returns exactly one value. Because one is mapped to two different values, the graph above depicts a relation rather than a function. If the relation above were instead mapped to a single value, it would become a function. Also, output values can be the same as input values.

The function machine is fed the x-values. The function machine then runs its code and returns the y-values. Any function can be found within.

This corresponds to the y-axis graph of f(x).

Step 2 requires us to translate the reflected graph 7 units to the right. To accomplish this, we add 7 to the x-coordinate of each point on the f(-x) graph, yielding:

g(x) = f(-x + 7)

This gives us the equation for the graph of g, which is the y-axis reflection of f, followed by a 7-unit translation to the right.

As a result, f is reflected in the y-axis, followed by a translation 7 units to the right.

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For all positive integer, (i) The result of 3 • 7 is 1. (ii) The result of 7 • 21 is 7. (iii) The result of 1 + 3 is 3. (iv) The result of 3 + 21 is 21. (v) The result of 3′ is 7.

(i) 3 • 71

To find the result of 3 • 7, we need to calculate the greatest common divisor (gcd) of 3 and 7.

The gcd(3, 7) = 1, which means that the only positive integer that divides both 3 and 7 without leaving a remainder is 1.

The result of 3 • 7 is 1.

(ii) 7 • 21

7

To find the result of 7 • 21, we need to calculate the gcd of 7 and 21.

The gcd(7, 21) = 7, which means that the only positive integer that divides both 7 and 21 without leaving a remainder is 7.

The result of 7 • 21 is 7.

(iii) 1 + 3

3

To find the result of 1 + 3, we need to calculate the least common multiple (lcm) of 1 and 3.

The lcm(1, 3) = 3, which means that the smallest positive integer that is divisible by both 1 and 3 is 3.

The result of 1 + 3 is 3.

(iv) 3 + 21

21

To find the result of 3 + 21, we need to calculate the lcm of 3 and 21.

The lcm(3, 21) = 21, which means that the smallest positive integer that is divisible by both 3 and 21 is 21.

The result of 3 + 21 is 21.

(v) 3′

7\

To find the result of 3′, we need to divide n (which is 21) by 3.

21 divided by 3 equals 7.

The result of 3′ is 7.

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The interest rate is 10.89%

1. Given,С = 200+ 0.69YI = 80 - 1,000rG = 20NX = 850.09ee = 90M = 115YL = 0.5Y - 200rY = 300Using the equation for National Saving, we get,National Saving = Investment + Government Saving + Net exports(S – I) + (T – G) + (X – M) = 0T = 0, hence (S – I) + (X – M) = 0(1 – t)Y – C – (I + G) + NX = 0Where t = 0, we get,0.5Y – 200r – 200 – 69/100Y + 80 – 850.09e = 0.5Y – 200r – 970.09e – 120 = 0.5Y – 200r – 970.09e – 120 = 0Therefore, Y = 325.0454 - 0.5r + 4.851eThis is the equation for the IS curve.On the other hand, the equation for the LM curve is given by,Ms / P = YL(i)115 / 1 = 0.5Y - 200rTherefore, Y = 400 + 400rThis is the equation for the LM curve.The interest rate is given by the point of intersection of the two curves. Equating Y from both equations, we get,325.0454 - 0.5r + 4.851e = 400 + 400rSolving the above equation for r, we get r = 0.1089 or 10.89%..

The size of the nominal money supply in the new short-run equilibrium is 121.07.

2. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate.Flexible Exchange Rates:In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output.Real exchange rate will fall.Increase in output will be higher compared to the fixed exchange rate case.Fixed Exchange Rates:In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.Real exchange rate will remain unchanged.Increase in output will be less compared to the flexible exchange rate case.The nominal money supply in the new short-run equilibrium will change in the case of Fixed Exchange Rates. In the fixed exchange rate case, the domestic interest rate will increase, leading to an inflow of capital. This will increase the money supply and the LM curve will shift downwards until it intersects the IS curve at the new equilibrium point.

Real exchange rate will remain unchanged.

3. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate. Flexible Exchange Rates :In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output .Real exchange rate will fall. Value of the real exchange rate in the new equilibrium is 0.891.Fixed Exchange Rates: In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.

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Answer:

625=63 to the nearest whole number

Step-by-step explanation:

= 4/100×25%

= 625

= 63 to the nearest whole number

Answer:

16

Explanation:

Reasoning:

You know that 4 students = 25% of the class,

and that ? students = 100% of the class,

So you would want to plan it out like this:

4 ----- 25%

? ----- 100%

This is how you would solve it:

            4 x 100

               25

Multiply 100 x 4 = 400

Divide  400/ 25 = 16

Hope this helped ya!

Answer:

The cost of 7 pens is Rs. 60,  so 2.45

Step-by-step explanation:

find the cost of 7 pens. so 3 divided by 1.05 = 0.35 then multiply by 7 =  2.45 hope this helps can i get brainlyesti tried my best;]

Answer:

30

Step-by-step explanation:

12-3= 9

75-48= 27

This is quadratic because it is like saying what is in between 9 and 27.

So the pattern is 9, 18, 27

so 12-3= 9

30-12= 18

48-30= Also 18

75-48= 27

Hope this helped :)

Answer:

Step-by-step explanation:

The population after 15 years become according to the doubling time is 470000000.

According to the statement

We have given that the nation of 200 million people is growing at a rate of 9% per year.And we have to find that the What will its population be in 15 years.

So, For this purpose, we know that the

The doubling time is the time it takes for a population to double in size/value. It is applied to population growth etc.

So,

Population of nation is 200 million and growing at a rate of 9% per year.

So, 9% of the population is

Percentage population = 9/100*200,000,000

Percentage population = 9* 200,000,0

Percentage population = 1800,000,0.

It means 18000000 number of population is increased per year.

So, The total population increased in 15 years is  15*18000000

The total population increased in 15 years is  270000000.

The population after 15 years is 270000000 + 200,000,000

The population after 15 years is 470000000.

So, The population after 15 years become according to the doubling time is 470000000.

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Answer:

x = 4, y = 5.

Step-by-step explanation:

4x-2=3y-1

y+3=3x-4

Rearranging:

4x - 3y =  1       (A)

-3x + y = -7      (B)

Multiply  B by 3:

-9x + 3y = -21   (C)
Adding A and C:

-5x = -20

x = 4

Substitute for x in equation A:

4(4) - 3y = 1

3y = 15

y = 5.

The effect on net income with a 3 percent reduction in material costs is a decrease of $150,000. The effect on net income with a 15 percent increase in sales is an increase of $1,200,000.

To calculate the effects on net income, we need to consider the impact of the changes in material costs and sales on the company's financials.

First, let's calculate the effect of a 3 percent reduction in material costs. The current material costs are $5,000,000, so a 3 percent reduction would be 0.03 * $5,000,000 = $150,000. Since material costs are an expense, a reduction in material costs would lead to a decrease in expenses, which in turn would increase net income by the same amount.

Next, let's calculate the effect of a 15 percent increase in sales. The current sales are $8,000,000, so a 15 percent increase would be 0.15 * $8,000,000 = $1,200,000. An increase in sales would directly increase revenue, leading to an increase in net income.

Therefore, the effects on net income with a 3 percent reduction in material costs is a decrease of $150,000, and the effect with a 15 percent increase in sales is an increase of $1,200,000.

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\( \sqrt{ - x + 72} = x \\ = > {( \sqrt{ - x + 72)} }^{2} = {x}^{2} \\ = > - x + 72 = {x}^{2} \\ = > {x}^{2} + x - 72 = 0 \\ = > {x}^{2} + 9x - 8x - 72 = 0 \\ = > x(x + 9) - 8(x + 9) = 0 \\ = > (x - 8)(x + 9) = 0 \\ = > x = 8 \: \: or \: \: - 9\)

Answer:

x = 8 or -9

Hope you could get an idea from here.

Doubt clarification - use comment section.

Cost of dozen eggs = 72 cents

Cost of 1 egg = 72÷12

= 6cents

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Answer:

Step-by-step explanation:

Answer:

look it up i need my coins

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x.

To find the y-intercept, substitute 0 for x and solve for y.

x-intercepts : (4, 0), (1, 0)

y-intercepts : (0, 4)

Answer:

Cost of 3 pounds:

5.25(3)−4.75=11

Cost of p pounds:5.25p-4.75

5.25p−4.75

Step-by-step explanation:

Since 1 pound of apples costs $5.25, 3 pounds of apples would cost $5.25 5.25×3 or $15.75. The coupon would save $4.75, so the final cost is $15.75-$4.75 or $11.

Cost of 3 pounds:

5.25(3)−4.75=11

Cost of p pounds:5.25p-4.75

5.25p−4.75

Answer:

\(\sf y =\dfrac{-1}{5}x-\dfrac{1}{4}\)

Step-by-step explanation:

Here, m is the slope and b is the y-intercept.

Substitute the values of m and b in the above equation.

  \(\sf m = \dfrac{-1}{5} \\\\b = \dfrac{-1}{4}\)

       Slope y-intercept form:

              \(\sf \boxed{y=\dfrac{-1}{5}x - \dfrac{1}{4}}\)

Answer:

the scale factor is times 0.5

Explanation:

20 plus 10 is 30. Half of 20 is 10 so that is 0.5

It is also like that for the others

The empirical probability of the red car moving a specific number of times in 8 rolls of the die can be estimated by rolling the die many times and counting the number of times the red car moves a specific number of times, then dividing this count by the total number of rolls.

Assuming that the probability of the red car moving is independent and equal for each roll, the number of times the red car moves in 8 rolls can be modeled using a binomial distribution.

Let's say that the probability of the red car moving in a single roll is p, and we want to find the empirical probability of the red car moving k times in 8 rolls.

To find the empirical probability, we would need to roll the die 8 times and record how many times the red car moves. We can repeat this process many times to collect a large sample of outcomes and estimate the probability based on the proportion of times the red car moves k times in 8 rolls.

For example, if we roll the die 8 times and observe that the red car moves 4 times, we would record that as 4 occurrences of the red car moving in 8 rolls. We can repeat this process many times and record the number of occurrences for each possible value of k (from 0 to 8).

Then, we can calculate the empirical probability of the red car moving k times in 8 rolls as:

The empirical probability of k red car moves = (number of occurrences of k red car moves) ÷ (total number of trials)

For each value of k, we would calculate this empirical probability based on the collected sample.

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Hope this help!!!

Have a nice day!!!

Answer:

Central angle = 98 degrees

Step-by-step explanation:

Radius (r) = 10 Arc length = 49\(\pi\)/9

Let 0 be the central angle

Arc Length = 2\(\pi\)r0/360

49\(\pi\)/9 = 2\(\pi\)r0/360

49\(\pi\)/9 = \(\pi\)x0/18

49\(\pi\)/9 x 18/\(\pi\) = 0

0 = 49x2

0 = 98 degrees

Answer:

Need to add picture

Step-by-step explanation:

The square root of the number 23 is 5 after using the division method the answer is 25.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The number is 23 which is a real number and positive number.

As we know we can find the square root of a positive numbers only, the square root of a negative number cannot exist

The square root of the number 23 = \(\sqrt{23}\)

The sign √ is a radical sign.

After using the division method:

\(\sqrt{23} = 4.7958\)

After reducing the number up to two decimal places:

\(= 4.79\)

Rounding the above number to the whole:

\(= 4.79 \thickapprox 5\)

\(5\times5 = 25\)

Thus, the square root of the number 23 is 5 after using the division method the answer is 25.

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Vector that is perpendicular to the level curve at the point (a, b) is the opposite of the gradient vector:

-∇f(a, b) = (\(-e^a\) + 1, a sin b)

We can use the gradient of f(x, y) at that point.

The gradient of f(x, y) is given by:

∇f(x, y) = ( ∂f/∂x , ∂f/∂y )

So, we have:

∂f/∂x = \(e^x\) - 1

∂f/∂y = -x sin y

At the point (a, b), the gradient vector is:

∇f(a, b) = ( \(e^a\) - 1 , -a sin b )

The level curve of f(x, y) is the set of points (x, y) where f(x, y) = k for some constant k. In other words, the level curve is the curve where the surface s intersects the plane z = k.

Let (a, b, c) be a point on the surface s that lies on the level curve at the point (a, b). Then, we have:

f(a, b) = c

Differentiating both sides with respect to x and y, we get:

∂f/∂x dx + ∂f/∂y dy = 0

This equation says that the gradient vector of f(x, y) is orthogonal to the tangent vector of the level curve at the point (a, b).

Therefore, the vector that is perpendicular to the level curve at the point (a, b) is the opposite of the gradient vector:

-∇f(a, b) = (\(-e^a\) + 1, a sin b)

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Vector that is perpendicular to the level curve at the point (a, b) is the opposite of the gradient vector:

-∇f(a, b) = (\(-e^a\) + 1, a sin b)

We can use the gradient of f(x, y) at that point.

The gradient of f(x, y) is given by:

∇f(x, y) = ( ∂f/∂x , ∂f/∂y )

So, we have:

∂f/∂x = \(e^x\) - 1

∂f/∂y = -x sin y

At the point (a, b), the gradient vector is:

∇f(a, b) = ( \(e^a\) - 1 , -a sin b )

The level curve of f(x, y) is the set of points (x, y) where f(x, y) = k for some constant k. In other words, the level curve is the curve where the surface s intersects the plane z = k.

Let (a, b, c) be a point on the surface s that lies on the level curve at the point (a, b). Then, we have:

f(a, b) = c

Differentiating both sides with respect to x and y, we get:

∂f/∂x dx + ∂f/∂y dy = 0

This equation says that the gradient vector of f(x, y) is orthogonal to the tangent vector of the level curve at the point (a, b).

Therefore, the vector that is perpendicular to the level curve at the point (a, b) is the opposite of the gradient vector:

-∇f(a, b) = (\(-e^a\) + 1, a sin b)

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Answer:

4.75t + 7.50b = 790

b = 2t

Step-by-step explanation:

Let t represent the number of tacos that he sold, and let b represent the number of burritos he sold.

4.75t can represent how much money he earned from selling tacos, and 7.50b can represent how much money he earned from selling burritos.

Create an equation that adds these together and sets them equal to 790:

4.75t + 7.50b = 790

Next, create another equation that represents how there were twice as many burritos sold than tacos.

This can be represented by b = 2t.

The system of equations is:

4.75t + 7.50b = 790

b = 2t

Answer:

56/125

Step-by-step explanation:

1. The object's position at t = 1.44 is equal to 16.496.

2. The object's average velocity between the times t = 4.1 s and t = 6.65 s is 40.632 m/s.

3. The object's instantaneous velocity is 21.6 m/s at 4.93 seconds.

Question 1:

For the given expression, the object's position as a function of time in one dimension is given by: 3.38t² + 2.66t + 5.47. We have to find the object's position at t = 1.44.

Given expression: 3.38t² + 2.66t + 5.47.

Thus, the object's position at t = 1.44 is equal to 16.496.

Question 2:

For the given expression, the object's position as a function of time in one dimension is given by: 3.18t² + 2.73t + 5.81. We have to find the object's average velocity between the times t = 4.1 s and t = 6.65 s.

Given expression: 3.18t² + 2.73t + 5.81.

The object's velocity v(t) will be the derivative of the given expression: v(t) = dv/dt (3.18t² + 2.73t + 5.81). Simplifying the derivative, we get v(t) = 6.36t + 2.73.

Average velocity between the times t = 4.1 s and t = 6.65 s will be:

Therefore, the object's average velocity between the times t = 4.1 s and t = 6.65 s is 40.632 m/s.

Question 3:

For the given expression, the object's velocity as a function of time in one dimension is given by: v(t) = 3.23t + 7.68. We have to find at what time the object's instantaneous velocity is 21.6 m/s.

Given expression: v(t) = 3.23t + 7.68.

The instantaneous velocity is the derivative of the given expression: v(t) = dv/dt (3.23t + 7.68). Simplifying the derivative, we get v(t) = 3.23.

The object's instantaneous velocity is 21.6 m/s.

Thus, the object's instantaneous velocity is 21.6 m/s at 4.93 seconds.

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The equation of the line in slope intercept form is y  = 2/3x + 8/3

The given parameters from the question are

Points = (5, 6) and (8, 4)

These points can be represented as

We have the following points

(x, y) = (5, 6) and (8, 4)

The equation of a line can be represented as

y  = (y₂ - y₁)/(x₂ - x₁) * (x - x₁) + y₁

Where

(x, y) = (5, 6) and (8, 4)

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

y  = (4 - 6)/(8 - 5) * (x - 5) + 6

Evaluate

y  = 2/3 * (x - 5) + 6

Open the brackets

y  = 2/3x - 10/3 + 6

Evaluate the sum

y  = 2/3x + 8/3

Hence, the line has an equation of y  = 2/3x + 8/3

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