Select the correct answer.
Which equation represents a function?
OA. x=13
B.
x-12=34
OC. 2y = -12
D. 2x-4x=7
= 15
OE.

Answer:

c = 75

Hope this helps!

Step-by-step explanation:

c + 38 = 113

c + 38 - 38 = 113 - 38

c = 113 - 38

c = 75

Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

Let's calculate the final amount paid by Alice and Jeff for their purchases.

Alice:

Jeff:

So, Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

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simple interest = $1092

Total amount = $6292

Principal = $5200

rate = 3% = 0.03

time = 7 years

Applying simple interest formula:

I = 5200 × 0.03 ×7

I = $1092

simple interest = $1092

We are to find total amount after getting the interest:

Amount = principal + interest

Amount = $5200 + $1092

Amount = $6292

Answer:

sorry i think a

Step-by-step explanation:

Solution of the inequality representing charges of company A is less than the company B for the mileage of 75miles or more.

As given in the question,

Let 'x' miles be the number of miles driven by company A.

For the given conditions:

Equation of company A is:

110 + 0m

Equation of company B is

65 + 0.60x

Inequality between company A and company B is:

110 + 0m < 65 + 0.60x

⇒0.60x > 110 - 65

⇒x > 45 / 0.60

⇒ x > 75 miles or more

Therefore, from the inequality 75 miles or more company A charges less than the company B.

The complete question is:

Laura is going to rent a truck for one day. there are two companies she can choose from, and they have the following prices. company A charges $110 and allows unlimited mileage. company B has an initial fee of $65 and charges an additional $0.60 for every mile driven. For what mileages will company A charge less than company B? use for the number of miles driven, and solve your inequality for .

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Answer:

A because its not the one that maintains congruence

Step-by-step explanation:

^^^^^

Answer:

2.35

Step-by-step explanation:

Answer:

hello!

The answer is 2.35.

This always helped me. Lets ignore the whole numbers until the very end so we end up with 3/5-1/3.

With adding and subtracting, you have to have the same denominator so what can we multiply to each denominator to make them the same. Usually you want the lowest number so you have less simplifying at the end.

What we can do is 5*3 and 3*5. whatever you multiply the bottom with you have to multiply the top with, so 3*3 and 3*5 for the first one and it would come out as 9/15 and for the second one it would be 1*5 and 3*5 and it would come out as 5/15.

Your equation now is 9/15-5/15. For addition and subtraction you keep the denominator the same so you would only do 9-5=4

So your equation now is 4/15. Now go on to your whole numbers basically you just do 4-2=2

If you add those two solutions together you get 2 4/15

The rate of interest is 6%.

Let's assume the principal amount is P.

According to the problem, the simple interest is 36% of the principal. Mathematically, this can be expressed as:

Simple Interest = (36/100) * P

The number of years is equal to the rate of interest, so let's denote it as R.

Now, we can calculate the interest using the formula for simple interest:

Simple Interest = (Principal * Rate * Time) / 100

Substituting the given values:

(36/100) * P = (P * R * R) / 100

Simplifying the equation:

36P = PR^2

Dividing both sides by P:

36 = R^2

Taking the square root of both sides:

R = ±√36

R = ±6

Since the number of years cannot be negative, we take the positive value: R = 6

Therefore, the rate of interest is 6%.

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The sides of a rhombus are equal hence DG is 12.

Rhombus is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.

All sides of a rhombus are equal. The diagonals bisect each other at 90 degrees.

DH = DG= 12 (all the sides of a rhombus are equal).

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The probability can be calculated as given because there are a total of 52 cards.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of card = 52

Number of king of heart = 1

P(getting a king of hearts) = 1/52

P(getting a spade) = 13/52 = 1/4

P (getting a 5 or a club) = (16/52) = 4/13

P(getting a 5 or a 7) = 4/52 + 4/52 = 8/52 = 2/13

P(getting a card which is not a spade) = 1 - 1/4 = 3/4

P(getting 11 of clubs) = 1/52

Thus, the probability can be calculated as given because there are a total of 52 cards.

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Answer:

1. 1

2. 51

3. 7

4. 9

Step-by-step explanation:

hope i helped

Answer:

or if you wanted to factor it you can not

it would just be  -5 x - 3

Step-by-step explanation:

to solve this would be simple you just have to divide

-5x/-5=-3/5

x=-3/5

The statement about regression line that is true is "it indicates a linear relationship between dependent variable and independent variable(s)."

In statistics, regression is a method of modeling the connection between a dependent variable (also known as a response variable) and one or more independent variables (also known as explanatory variables or predictors). It's also known as a linear regression model.

A regression model is established in order to identify the linear relationship between the dependent variable and one or more independent variables. The line of best fit is represented by the regression line in a simple linear regression model, which represents the relationship between the dependent variable and independent variable(s).

The line of best fit is determined by minimizing the sum of the squares of the residuals (errors). The objective of the regression model is to obtain a relationship between the dependent variable and the independent variable that explains the variance of the dependent variable based on the independent variable(s).

Hence, the correct option is: it indicates a linear relationship between dependent variable and independent variable(s).

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Answer:

Step-by-step explanation:

Sum of all the angles is 180

<A + 90 + 50 = 180

<A + 140 = 180

<A =  40

Use cos x = adjacent side/hypotonuse

Use 50 as your reference angle

cos 50  = 19/c          >cross multiply

c cos 50 = 19            >divide both sides by cos 50 to solve for c

c= 19/cos 50            >plug in

c=29.6

Now use tan x = opposite side/ adjacent side

Use 50 as your reference angle

tan 50 = b/19             >multiply both sides by 19

b= 19 tan 50              >plug in

b= 22.6

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.

We are given the diameter of the sphere, which is 8 cm. The radius, r, is half the diameter, so:

r = 8/2 = 4 cm

Substituting this value of r into the formula for the volume of a sphere, we get:

V = (4/3)π(4³) ≈ 268.08

Rounding this to the nearest whole number, we get:

V ≈ 268

Therefore, the volume of the sphere to the nearest whole number is 268 cm³, which is option D.

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a) Differential equation (initial value problem) for the mass of the copper sulfate would be dm/dt = 0

b) m(t)=0

What is Differential equation?

A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions. Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to create a relationship between the two.

a) Solution is flowing out of the tank. This can be expressed mathematically as:

dm/dt = (flow rate of solution into tank) - (flow rate of solution out of tank)

= (2 l/min) - (2 l/min)

= 0

Therefore, the differential equation for the mass of the copper sulfate in the tank is:

dm/dt = 0

This is a simple differential equation with a constant coefficient of 0, and it can be easily solved by integrating both sides of the equation with respect to time.

b. To solve the differential equation, we can write:

m(t) = integral(0, t, dm/dt)

= integral(0, t, 0)

= 0

Since the coefficient of the derivative is 0, the solution to the differential equation is a constant function with a value of 0. This means that the mass of the copper sulfate in the tank will remain constant over time, regardless of the flow rates of the solution into and out of the tank.

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Answer:

x=-4

Step-by-step explanation:

First, write the expression and distribute.

-2(2x+11)=5x+14

-4x-22=5x+14

Add one of the variables to the other side (it makes solving a lot easier). I'll add 4x to both sides because it won't result in a negative x.

-4x-22=5x+14

+4x      +4x

-22=9x+14

Now, subtract 14 on both sides.

-22=9x+14

-14        -14

-36=9x

Divide both sides by 9.

-36=9x

/9   /9

-4=x  or  x=-4 (they both mean the same thing)

Have a wonderful day! I hope this helped :3

Answer:

19

Step-by-step explanation:

20+5+13 / 2 = 19

Based on the cost of the property to Julie in 2007 and the various costs incurred since then, the amount of gain would be $166,350.

First find cost Julie has incurred in total:
= 236,500 + 5,250 + 25,000 - 4,100

= $262,650

The gain is therefore:

= Selling price - Total cost incurred

= 429,000 - 262,650

= $166,350

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Answer:

9/2

Step-by-step explanation:

1 Simplify the expression

2 Subtract 6 from both sides

3 Simplify the expression

4 Divide both sides by the same factor

5 Simplify the expression

Answer:

1/2*4x +1/2*6=12

2x+3=12

2x=12-3

2x=9

x=9/2

Answer:

3 times as great

Step-by-step explanation:

The most amount of water is 3/4 full

The least amount of water 1/4 full

To get from 1/4 to 3/4, you multiply by 3:

\(\frac{1}{4} * \frac{3}{1} = \frac{3}{4}\)

(I made 3 into 3/1 to show how you multiply across easier)

The next minimum monthly payment is $149,244

Calculation of next minimum monthly payment can be calculated as follows:

Monthly interest rate = APR / 12 = 21.99% / 12 = 0.2199 / 12 = 0.018325

Balance at the end of the current month = Current balance + Purchases - Current minimum monthly payment = $3,651.21 + $791.25 - $210.00 = $4652.46

the next minimum monthly payment = (Balance at the end of the current month + (Balance at the end of the current month x Monthly interest rate)) x Minimum monthly payment rate

the next minimum monthly payment = ($4652.46+ ($4652.46 x 0.018325)) x 3.15%

the next minimum monthly payment = $149,244

hence,The next minimum monthly payment is $149,244

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The values of the given functions are as follows: [f∘g](x) = 1/2x - 8, [g∘f](x) = 1/2x - 1, [f∘g](x) = x^3 + 3x^2 + 3x + 1, [f∘g](x) = 8x^3 + 4x^2 + 1 and [g∘f](x) = 2x^3 + 2x^2 + 2.

To find [f∘g](x) and [g∘f](x), we need to substitute the values of g(x) in f(x) and then find the result for [f∘g](x) and vice versa.

If f(x) = 1/2x - 7 and g(x) = x + 6, then [f∘g](x) is calculated as follows:

f[g(x)] = f(x + 6) = 1/2(x + 6) - 7 = 1/2x - 8

Therefore, [f∘g](x) = 1/2x - 8.

If f(x) = 1/2x - 7 and g(x) = x + 6, then [g∘f](x) is calculated as follows:

g[f(x)] = g(1/2x - 7) = 1/2x - 7 + 6 = 1/2x - 1

Therefore, [g∘f](x) = 1/2x - 1.

If f(x) = x^3 and g(x) = x + 1, then [f∘g](x) is calculated as follows:

f[g(x)] = f(x + 1) = (x + 1)^3 = x^3 + 3x^2 + 3x + 1

Therefore, [f∘g](x) = x^3 + 3x^2 + 3x + 1.

If f(x) = x^3 and g(x) = x + 1, then [g∘f](x) is calculated as follows:

g[f(x)] = g(x^3) = x^3 + 1

Therefore, [g∘f](x) = x^3 + 1.

If f(x) = x^3 + x^2 + 1 and g(x) = 2x, then [f∘g](x) is calculated as follows:

f[g(x)] = f(2x) = (2x)^3 + (2x)^2 + 1 = 8x^3 + 4x^2 + 1

Therefore, [f∘g](x) = 8x^3 + 4x^2 + 1.

If f(x) = x^3 + x^2 + 1 and g(x) = 2x, then [g∘f](x) is calculated as follows:

g[f(x)] = g(x^3 + x^2 + 1) = 2(x^3 + x^2 + 1) = 2x^3 + 2x^2 + 2

Therefore, [g∘f](x) = 2x^3 + 2x^2 + 2.

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Congruent quadrilateral related parts are congruent.

The true statements are:

Statements 2, 4, and 6 are Not Congruent

Statements 1, 3, and 5 are Congruent

From the given figure:

Quadrilaterals 1, 2 and 4 are congruent

Quadrilateral 3 is not congruent to any of the other quadrilaterals.

The true statements are:

Quadrilateral 1 and quadrilateral 2 Congruent

Quadrilateral 1 and quadrilateral 3 Not Congruent

Quadrilateral 1 and quadrilateral 4 Congruent

Quadrilateral 2 and quadrilateral 3 Not Congruent

Quadrilateral 2 and quadrilateral 4 Congruent

Quadrilateral 3 and quadrilateral 4 Not Congruent

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Write the scale of the drawing as a fraction. Put the shorter length in the numerator.

\( \frac{7 \: cm}{1 \: cm} \\ \)

First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.

\( \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ \)

Write the scale factor as a ratio, using a colon

7/100   →  7:100

The scale factor is 7:100.

\( \\ \)

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Answer:

1. B. The bag of candy produced last Monday is different from the standard bag.

2. A. The bag of candy produced last Monday are like the standard bag.

3. B. The bag of candy produced last Monday is different from the standard bag.

Step-by-step explanation:

Given - A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.

To find - 1. What is the alternate hypothesis for this exercise?

              2. What is the null hypothesis for this exercise?

              3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance).  What is your conclusion about the bags based on this result?

Proof -

1.

The alternate hypothesis is - B. The bag of candy produced last Monday is different from the standard bag.

2.

The null hypothesis is - A. The bag of candy produced last Monday are like the standard bag.

3.

The conclusion is - B. The bag of candy produced last Monday is different from the standard bag.

The value of the given linear equation to satisfied the given expression of the equation is = \(\frac{-9}{10}\)

What about linear equation?

A linear equation is a mathematical equation that represents a straight line in a Cartesian coordinate system. It is an algebraic equation in which the highest power of the variable is 1.

The general form of a linear equation in one variable is:

ax + b = 0 where "a" and "b" are constants and "x" is the variable. The solution to this equation is: x = -b/a

The general form of a linear equation in two variables is:

ax + by + c = 0

Define equation:

An equation is a mathematical statement that asserts that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Equations can be used to represent a wide range of relationships between variables.

According to the given information:

Here, the value of x and y are given

Put the value of x and y in the given expression we have that,

⇒ 4y - x

⇒ 4 x \(\frac{-3}{20}\) - \((\frac{3}{10} )\)

⇒ \(\frac{-12}{20}\) - \((\frac{3}{10} )\)

⇒ \(\frac{-18}{20}\)

⇒ \(\frac{-9}{10}\)

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The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

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The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units

The figure is a trapezoid with the following parameters:

Area = 107.95

Base= 12

Height = 12.7

Length = x

The area of a trapezoid is:

Area = 0.5 * (Base + Length) * Height

So, we have:

0.5 * (12 + Length) * 12.7 = 107.95

Evaluate the product

(12 + Length) * 6.35 = 107.95

Divide both sides by 6.35

12 + Length = 17

Subtract 12 from both sides

Length =  5

Hence, the length of the trapezoid is 5 units

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Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

Therefore, when Savannah is 42 feet above the ferris wheel's horizontal diameter, her angle of rotation is approximately 68.6 degrees.

Given by the question.

Let's first draw a diagram to visualize the situation.

      *

    *    *

  *        * <-- Ferris wheel at 3 o'clock position

 *          *

*            * <-- Highest point

*______________*______

      62 ft

The Ferris wheel is a circle with radius 62 feet, and Savannah is sitting in a bucket that moves along the circle. When she is at the highest point, she is 62 feet away from the center of the circle, and when she is on the horizontal diameter, she is 62 feet - 42 feet = 20 feet away from the center of the circle.

To find Savannah's angle of rotation, we can use the cosine function.

cos(theta) = adjacent / hypotenuse

In this case, the adjacent side is 20 feet, and the hypotenuse is 62 feet.

cos(theta) = 20/62

To solve for theta, we need to take the inverse cosine of both sides.

theta = cos^-1(20/62)

Using a calculator, we get:

theta = 68.6 degrees

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