T3) The value of y varies directly with x, and y =6 when x =18 Find y when x = 12

Answer:

what's your question really about. are u asking true or false

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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The original price of iPhones if the prices are reduced by 35% is $2,041

Let

Sale price = Original price - (Percentage discount × Original price

714.35 = x - (35% of x)

714.35 = x - 0.35x

714.35 = 0.65x

divide both sides by 0.65

x = 714.35 / 0.65

x = $2,041

In conclusion, the original price of iPhones after the discount is $2,041

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Answer:

(A) a triangle with a base of 6m and height of 4m:

Area = 1/2 x base x height = 1/2 x 6m x 4m = 12m^2

(B) a parallelogram with a base of 48m and a height of 0.5m:

Area = base x height = 48m x 0.5m = 24m^2

(C) a trapezoid with bases 9m and 3m and height of 4m:

Area = 1/2 x (base1 + base2) x height = 1/2 x (9m + 3m) x 4m = 24m^2

(D) a triangle with a base of 8m and a height of 3m:

Area = 1/2 x base x height = 1/2 x 8m x 3m = 12m^2

So the shapes that have an area of 24 m^2 are A (triangle) and C (trapezoid).

I Hope This Helps!

Answer:

3 expodent 12

Step-by-step explanation:

The calculated measure of m∠PNM is 87 degrees

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

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

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Answer:

50 liters

Step-by-step explanation:

Amount of salt in the 35% solution + amount of salt in the 70% solution = amount of salt in the 45% solution

0.35 x + 0.70 (20) = 0.45 (x + 20)

0.35 x + 14 = 0.45 x + 9

5 = 0.1 x

x = 50

The volume of the 35% solution is 50 L

Known parameter;

The percentage concentration of the salt solution with unknown volume = 35%

The percentage concentration of the 20 liters salt solution = 70%

The percentage concentration of the resulting solution = 45%

Unknown parameter;

The volume of the 35% salt solution

Strategy;

Let x represent the volume of the 35% salt solution that must be mixed  to obtain the 45% salt solution

Balance the masses of the salts before and after mixing

The mass of the salts before mixing = 70% × 20 L + 35% × x

The mass of the salt solution mixture after mixing = 45% × (20 L + x)

By conservation principles, we get;

70% × 20 L + 35% × x = 45% × (20 L + x)

0.7 × 20 L + 0.35 × x = 0.45 × (20 L + x)

14 L + 0.35·x = 9 L + 0.45·x

14 L - 9 L = 0.45·x - 0.35·x = 0.1·x

5 L = 0.1·x

x = 5 L/(0.1) = 5 L × 10 = 50 L

The volume of the 35% solution that must be mixed with the 70% salt solution x =  50 L

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Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The word basketball has 10 letters.

Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:

\(P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333\)

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Answer: 2/45

The question asks for choosing the letter B, which we know that there is two of in basketball, so 2/10, and then we multiply it by the amount of vowels, which is 2/9, and when we multiply we get 4/90 which can be simplified to 2/45.

Solving a system of equations we can see that the washer costs $750, and the dryer costs $250.

Let's define the variables:

x = cost of the washer.

y = cost of the dryer.

We know that the cost combined is $1000, then:

x  + y = 1000

And the washer cost 3 times the cost of the dryer, then we will get:

x = 3y

So we have a system of equations, we can replace the second equation into the first one, so we will get:

3y + y = 1000

4y = 1000

y = 1000/4

y = 250

The cost of the washer is:

x = 3*250 = 750

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Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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Step-by-step explanation:

mark me as a brainlist hope its helpful yo you

The function is increasing from (–∞, 0). Then the correct option is A.

If the value of y increases as the value of x increases, then increasing function.

And if the value of y decreases as the value of x increases, then decreasing function.

From the graph, the function is increasing from (–∞, 0).

Then the correct option is A.

The complete question is attached below.

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60 ; 100

Hi there !

HCF = 20 = 4×5 = 2²×5

LCM = 300 = 3×100 = 3×4×25 = 2²×3×5²

LCM/HCF = 2²×3×5²/2²×5 = 3×5

a = 3×hcf = 3×20 = 60

b = 5×lcm = 5×20 = 100

Good luck !

Answer: The total distance covered by the car is 331 9/16 km.

Step-by-step explanation:

We know that, speed= distance/time taken

Therefore, distance = speed x time taken

= 132 5/8 x 2 1/2

= 5/2 x 1061/8

= 5305/16

= 331 9/16 km

Therefore, total distance is 331 9/16 km.

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Answer:

5:11

Step-by-step explanation:

Since they are asking for apples there is only 5 apples cause they tell us.

For fruit you add all the fruit together minus the apples which is 11. I think.

I think this is correct and If I am wrong my apologizes.

Answer:

x=50

Step-by-step explanation:

x+37=3x-63

Subtract x from each side

x-x+37=3x-x-63

37 = 2x-63

Add 63 to each side

37+63 = 2x-63+63

100 =2x

Divide by 2

100/2 =2x/2

50=x

Answer:

Step-by-step explanation:

x - 37 = 3x - 63

x - x + 37 = 3x - x 63

37 = 2x - 63

2x = 63 + 37

2x = 100

x = 100 : 2

x = 50

Answer:

12

Step-by-step explanation:

12

For 3, 4 and 6 the smallest number which would be perfectly divisible by them is their LCM which is 12.

Have a nice day!

Answer:

12

Step-by-step explanation:

We want to find the least common multiple of 4,6,3

4:

4,8,12,16,20

6:

6,12,18,24

3:

3,6,9,12,15

The first number that appears in all 3 lists is 12

The total measure of all the angles in a triangle is 180°.

Since there is already a 90° angle, the other 2 angles must also add up to 90°.

The only answer that fits is x = 9.

Check:

9x7 = 63°

3x9 = 27°

Add up = 90°

:)

C (x=18)

is your answer

Answer:

asd

Step-by-step explanation:

sadasdasdasdasnst465557

Answer:

Step-by-step explanation:

The probability of 3 or more deaf people in a sample of 100 is given as follows:

0.3633 = 36.33%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of the parameters for this problem are given as follows:

p = 0.02, n = 100.

The probability of 3 or more deaf people are given as follows:

P(X >= 3) = 1 - P(X < 3).

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Hence:

Thus:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.1326 + 0.2707 + 0.2334

P(X < 3) = 0.6367.

P(X >= 3) = 1 - P(X < 3).

P(X >= 3) = 1 - 0.6367.

P(X >= 3) = 0.3633.

We suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.

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Answer:

See Image below:)

Step-by-step explanation:

You can use the app photo math, you just take a picture of the question and it shows you the steps.

If you do in fact mean \(f(1)=f(6)=0\) (as opposed to one of these being the derivative of \(f\) at some point), then integrating twice gives

\(f''(x) = -\dfrac1{x^2}\)

\(f'(x) = \displaystyle -\int \frac{dx}{x^2} = \frac1x + C_1\)

\(f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2\)

From the initial conditions, we find

\(f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0\)

\(f(6) = \ln|6| + 6C_1 + C_2 = 0 \implies 6C_1 + C_2 = -\ln(6)\)

Eliminating \(C_2\), we get

\((C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))\)

\(-5C_1 = \ln(6)\)

\(C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)\)

Then

\(\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}\)

To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.

1. Determine the midpoint of the line segment:

  - The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:

    \(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

    In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).

2. Calculate the midpoint coordinates:

  - Substitute the values into the midpoint formula to find (x_mid, y_mid).

3. Find the slope of the line segment:

  - Use the slope formula: slope = (y2 - y1) / (x2 - x1).

    Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.

4. Determine the negative reciprocal of the line segment's slope:

  - Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.

5. Write the equation of the perpendicular bisector:

  - Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.

6. Substitute the point (å, ä) into the equation:

  - Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.

7. Verify that the equation holds true:

  - If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.

By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).

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The height of the box needs to be at least 14 mm to fit the pyramid. So option C is correct.

The volume of a pyramid is given by the formula:

V = (1/3) * B * h

where V is the volume, B is the area of the base, and h is the height.

In this case, we are given that the volume of the pyramid is 224 mm^3, and the dimensions of the base are 8 mm and 6 mm. Therefore, the area of the base is:

B = 8 mm * 6 mm = 48 mm^2

We are also given the height of the box, but we need to check if it is sufficient to fit the pyramid. We can rearrange the formula for the volume of a pyramid to solve for the height:

h = (3V) / (B)

Plugging in the given values, we get:

h = (3 * 224 mm^3) / (48 mm^2) = 14mm

Therefore, the height of the box needs to be at least 14 mm to fit the pyramid.

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Answer: hello your question is poorly written hence I will provide the required matrix

answer :

A = \(\left[\begin{array}{ccc}1&0&1\\0&1&1\\1&-1&0\end{array}\right]\)

Step-by-step explanation:

Given that the basis of the orthogonal complement have been provided already by you in the question I will have to provide the Matrix

The required matrix

\(\left[\begin{array}{ccc}1&0&1\\0&1&1\\1&-1&0\end{array}\right]\)

column1 = column 3 - column2

where column 3 and column 2 are the basis of the orthogonal complement of the column space of the Matrix

It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Yes, the turning point at (-4, -16) is a local minimum. It is a minimum because the curve goes upward either side of it. It is local (not global) because the curve has values that are lower than -16 at other values of x.

__

Similarly, the point (4, 16) is a local maximum.