Solve for x.

14.25=x−19.15

Answer:

14

Step-by-step explanation:

112 / 8 = 14

Answer: 14

112 / 8 = 14

The input is 8, the output of the function f(x) would be -5.

What is the function?

Function is a relationship or expression involving one or more variables.  It has a set of input and outputs.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet

To find the output of the function f(x) when x is 8, we substitute x = 8 into the function and simplify:

f(x) = 8/x - 6

f(8) = 8/8 - 6

f(8) = 1 - 6

f(8) = -5

Hence, if the input is 8, the output of the function f(x) would be -5.

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Answer: The probability that both events A and B will occur is 5/18 or 0.28.

Step-by-step explanation:

To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.

Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.

Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.

To find the probability that both events A and B occur, we multiply the probabilities:

Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.

Answer:

b. Use an AD/AS diagram to show how a decrease in the inflation target can keep inflation and short-run output from starting to rise in 2021. Explain your diagram and what it reveals about monetary policy.

Answer:

938583

Step-by-step explanation:

Answer:

24 : 15 : 20

Step-by-step explanation:

express ratios in fractional form and express b and c in terms of a

\(\frac{a}{b}\) = \(\frac{8}{5}\) ( cross- multiply )

8b = 5a ( divide both sides by 8 )

b = \(\frac{5}{8}\) a

also

\(\frac{b}{c}\) = \(\frac{3}{4}\) ( cross- multiply )

3c = 4b ( divide both sides by 3 )

c = \(\frac{4}{3}\) b = \(\frac{4}{3}\) × \(\frac{5}{8}\) a = \(\frac{5}{6}\) a

Then

a : b : c

= a : \(\frac{5}{8}\) a : \(\frac{5}{6}\) a ( multiply each part by 24, the LCM of 8 and 6 )

= 24a : 15a : 20a ( divide each part by a )

= 24 : 15 : 20 ← in simplest form

Answer:

option 2

Step-by-step explanation:

The graph represents the following piecewise defined function is attached below.

A function is an expression that illustrates the connection between two or more variables and numbers. A function defined by several subfunctions, each of which is applicable to a distinct interval in the domain, is said to be piecewise.

We have a function,

g(x) = { x², x<0

         1/2 x , 0<x<4

A function defined by several subfunctions, each of which is applicable to a distinct interval in the domain, is said to be piecewise.

The below-attached piecewise function is available.

Given the following piecewise function, the graph is attached below.

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Answer:

Uhm if this is the square root of 16 it's B.) 4

Answer:

-0.06 left-middle

0.28 right-middle

0.03 right-top

0.1 middle-top

0.12 middle-bottom

Step-by-step explanation:

column-row

Answer:

44.

Step-by-step explanation:

The work is in the photo, I suppose.

Answer:

30°

Step-by-step explanation:

k and 30° are vertical angles

Therefore, k = 30°

Answer:

Second option

Step-by-step explanation:

For a set to represent a function, each input value in the set domain should match with one and only one output value of set range.

The option that follows this rule os second option as 1 is matched with 2 only, and 3 is matched with 3 only, and 5 is matched with 7 only.

The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

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

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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Answer:

4.1

Step-by-step explanation:

cos 63° = WX/9

WX = 9 × cos 63°

WX = 4.1

Answer:

$155.25

Step-by-step explanation:

I believe this is the answer to your question! 9 hope its correct!!

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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(a) This utility function represents a person who has equal preferences for both goods x and y. (b) This utility function represents a person who has a budget constraint and can only afford to buy either x or y, but not both. (c) This utility function represents a person who has a preference for either x or y but not both.

(a) U(x, y) = x + 2y

This utility function represents a person who has equal preferences for both goods x and y. To sketch the indifference curves, we will keep the total utility constant and increase the quantity of one good while decreasing the quantity of the other good.

For example, the first indifference curve can be represented by the equation x + 2y = 10. As we increase x by 1 unit, we decrease y by 0.5 units to keep the total utility constant.

Similarly, we can create a second indifference curve by keeping the total utility constant at a higher value, such as x + 2y = 20. The graph would show that as the total utility increases, the person is willing to have more of both goods x and y.

(b) U(x, y) = min{2x, y}

This utility function represents a person who has a budget constraint and can only afford to buy either x or y, but not both. To sketch the indifference curves, we will keep the minimum of 2x and y constant and show the different combinations of x and y that the person finds equally desirable.

For example, the first indifference curve can be represented by the equation min{2x, y} = 2. This means that the person can either buy 2 units of x or 2 units of y, but not both. As x increases, y decreases and vice versa.

Similarly, we can create a second indifference curve by keeping the minimum of 2x and y constant at a higher value, such as min{2x, y} = 4. The graph would show that as the minimum value increases, the person is willing to have more of both goods x and y.

(c) U(x, y) = max{2x, 3y}

This utility function represents a person who has a preference for either x or y but not both. To sketch the indifference curves, we will keep the maximum of 2x and 3y constant and show the different combinations of x and y that the person finds equally desirable.

For example, the first indifference curve can be represented by the equation max{2x, 3y} = 6. This means that the person either has 6 units of x or 6 units of y, but not both. As x increases, y decreases and vice versa.

Similarly, we can create a second indifference curve by keeping the maximum of 2x and 3y constant at a higher value, such as max{2x, 3y} = 9. The graph would show that as the maximum value increases, the person is willing to have more of both goods x and y.

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The monthly loan payment for a $60,000 loan with a $4,000 down payment, 13% interest rate, and a term of 60 months is approximately $1,289.49.

To calculate the monthly loan payment, we need to use the loan amount, down payment, interest rate, and term.

Loan amount: $60,000

Down payment: $4,000

Principal amount: Loan amount - Down payment = $60,000 - $4,000 = $56,000

Interest rate: 13% per annum (or 0.13 as a decimal)

Monthly interest rate: 13% / 12 = 0.0133 (approx.)

Term: 60 months (5 years)

Now, let's calculate the monthly loan payment using the formula for a fixed-rate loan:

Monthly payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

P = Principal amount

r = Monthly interest rate

n = Total number of payments

Substituting the values into the formula:

Monthly payment = $56,000 * (0.0133 * (1 + 0.0133)^60) / ((1 + 0.0133)^60 - 1)

Using a calculator, the approximate monthly loan payment comes out to be $1,289.49.

Therefore, the monthly loan payment for a $60,000 loan with a $4,000 down payment, 13% interest rate, and a term of 60 months is approximately $1,289.49.

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Answer:

  2

Step-by-step explanation:

You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.

The slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.

  slope = rise/run = 2/1 = 2

The slope of DC is 2.

<95141404393>

        Thanks for reposting the pertinent question:

        Therefore the SLOPE of DC:

         DC  =   2

        POINTS:  D, C, B, and A  are COLLINEAR

       SLOPE of:  DC  is  Equal (=)  To the SLOPE  of: AB

       AB  =   2/1   =  2

       Therefore the SLOPE of DC:

       DC  =   2

I hope this helps you!

Answer:

The median is 20

Step-by-step explanation:

They are already in order so you would just have to find the middle.......

Hope this helps.......if not then sorry for wasting your time and may God bless you

Answer: 39 in^2

Step-by-step explanation: To find the area of this polygon, we can break it down into two triangles and one rectangle. The following formulas are to solve for the area of each polygon:

Area of a Triangle: A = b x h / 2

Area of a Rectangle: A = l x w

We can plug in the values by what we are given. The triangle to the top has a base of 6 in and a height of 5 in. We can multiply these to get 30 in but cut it in half to get 15 in. The second triangle has a base of 3 in and a height of 4 in, so when we multiply, we get 12 in / 2 to get 6 in. The rectangle's length is 6 in and the width is 3 in. So, 6 x 3 is 18. Add all these values together, and you get 39 in^2.

Let me know if this is right! :)

The length segment of the circle indicated is 6 units.

A circle is a round-shaped figure that has no corners or edges. Therefore, let's find the length segment of the circle.

Therefore, the diameter of a circle is the line that passes through the centre and meets the circumference at opposite ends.

Therefore, the radius of a circle is the distance from the centre of the circle to any point on it's circumference.

The radius is half of a diameter.

Therefore, the length x is the radius of the circle and it is 6 units.

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Answer:

crrfhjgbnjjjhhbnmlpoutdxcjkougfsweee

Answer:

8/9 OR 32/36, depending on whether or not you need it simplified.

Step-by-step explanation:

We know one yard has 36 inches. Since Dennis buys 32, we'll simply put that over 36 to find our fraction. You'll then get 32/36, and the most simplified form of that is 8/9.

Answer:

a. 0.8837

b. 0.6914

c. 10 student

Step-by-step explanation:

a. using markov's inequality; P(u >= X)<= E(u) / X

   mean u = 76

   X, test score = 86

= 76 / 86 = 0.8837

b. variance v = 25

   The test is between 65 and 85 P(65 <= X <= 85);

   P(|65 - X|<= |X - u| <= |85 - X|) = P(65 - 76 <= |X - u| <= 85 -76)

   = P(-11 <= |X - u| <= 9)

   = P(|X - u| <= 9)

using the chebyshev's inequality;

P(|X - u| <= 9) = 1 - variance / (standard deviation of individual test score)^2

   = 1 - 25/ 9^2

   = 1 - 25/81 = 1 - 0.3086 = 0.6914

c. P(|X - 76| <= 5) = 0.9

still using chebyshev's inequality;

= 1 - variance / lower limit^2 (E)

where E = 1 - 0.9 = 0.1

lower limit = 5

= 1 - 25/ 5^2 (0.1) = 10

Answer:

31.334... years

Step-by-step explanation:

Initial value = $500

r = 1.5%

t = ?

A = (500)\(e^{.015*t}\)

I was unsure if the question was asking to express the equations in terms of t =, but i did those steps anyway just in case.

A/500 = \(e^{.015*t}\)

ln A/500 = ln\(e^{.015*t}\)

ln A/500 = .015*t

ln(A/500)/.015 = t

t = ln(A/500)/.015

To find the amount of time it takes for the account balance to reach $800, we plug in $800 for A in the equation that solves for t.

t= ln(800/500)/.015 = 31.334...(rounded) years

We also could have solved by plugging in $800 into the original equation and then solving for t, but i found it to be easier to find the equation for t prior to solving. Hope this helps!

Answer:

46;&74)474:&48&4:&48&

Step-by-step explanation:

For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.

Answer:

-4,-1.79,2,2.54

Step-by-step explanation:

You'll have to do the explanation yourself, but here are a few pro tips!

-Explain which numbers are farthest from 0.

-Explain where each number will go on the plot.

-Use words like farthest, less than, greater than, negative, and integer.

-Make your explanation at least 2 sentences long!

You got this, I know you can do it-! Have a meme to help! <3