You earn $15 per hour to babysit. After babysitting for 3 hours, you will earn $50. Write an equation in slope-intercept form to represent the relationship between hours worked (x) and earnings in dollars (y).

Answer:

I'm gonna go with b to be honest sorry if I'm wrong

Jimmy will take 24 hours to do the given job alone.

What is the teamwork equation for problem solving?
Problems with teamwork are resolved using this technique. If the first person completes a task in 'A' units of time and a second person completes a task in 'B' units of time, they can complete a task in 'T' units of time together (total).
The teamwork equation can be applied, that is: (1/A) + (1/B) = (1/T)

Given, time taken by Britney to do the job individually = B = 12 hours
Also, time taken by Britney and Jimmy to do the job together = A = 8 hours
Let the time taken by Jimmy to do the job individually = A hours
Thus, using the equation established in the literature above and substituting the given values, we have:
(1/A) + (1/B) = (1/T) ⇒ (1/A) + (1/12) = 1/8 ⇒ 1/A = (1/8) - (1/12)
⇒ 1/A = (3/24) - (2/24) ⇒ 1/A = 1/24 ⇒ A = 24
Thus, Jimmy will take 24 hours to do the given job alone.

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(a) The area of the triangle determined by the lines y = -x + 9, y = 10x, and the y-axis is 0 square units.

(b)  The area of the triangle determined by the line y = mx + b, where b > 0 and m < 0, is -1/2 * (b^2 / m).

(c) There is no value of m that allows the triangle determined by the lines y = mx + 5, y = x, and the y-axis to have an area of 10 square units.

(a) The lines y = -x + 9, y = 10x, and the y-axis form a triangle in the first quadrant. To find the area of this triangle, we can calculate the base and height.

The base of the triangle is the x-coordinate where y = 0, which is the y-intercept of the line y = -x + 9. So, the base is 9.

The height of the triangle is the y-coordinate where x = 0, which is the y-intercept of the line y = 10x. So, the height is 0.

The area of a triangle is given by the formula: area = 1/2 * base * height.

Substituting the values we found:

Area = 1/2 * 9 * 0

Area = 0

The area of the triangle determined by the lines y = -x + 9, y = 10x, and the y-axis is 0 square units.

(b) If b > 0 and m < 0, then the line y = mx + b cuts off a triangle from the first quadrant. The base of this triangle is determined by the x-coordinate where y = 0, which is x = -b/m.

The height of the triangle is determined by the y-coordinate where x = 0, which is y = b.

The area of the triangle is given by the formula: area = 1/2 * base * height.

Substituting the values we found:

Area = 1/2 * (-b/m) * b

Area = -1/2 * (b^2 / m)

The area of the triangle determined by the line y = mx + b, where b > 0 and m < 0, is -1/2 * (b^2 / m).

(c) The lines y = mx + 5, y = x, and the y-axis form a triangle in the first quadrant. Given that this triangle has an area of 10 square units, we can find the value of m.

The base of the triangle is determined by the x-coordinate where y = 0, which is x = -5/m.

The height of the triangle is determined by the y-coordinate where x = 0, which is y = 0.

The area of the triangle is given by the formula: area = 1/2 * base * height.

Substituting the values we found and given that the area is 10:

10 = 1/2 * (-5/m) * 0

10 = 0

Since the equation 10 = 0 is not possible, there is no value of m that satisfies the condition.

There is no value of m that allows the triangle determined by the lines y = mx + 5, y = x, and the y-axis to have an area of 10 square units.

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Answer:

41.16 m³

Step-by-step explanation:

Volume = area triangle x height

1/2(2.8x4.2) = 1/2( 11.76) = 5.88

5.88 x 7 = 41.16

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Given:

$2,500 deposit into an account that earns 5% simple interest for 6 years

Required:

How much interest earn?

Explanation:

The equation for simple interest

Where, P principal amount

r rate per year

t time

We have principal amount 2500, rate per year 5% for 6 years

Now,

Answer:

The simple interest accumulated on a principal of $2500 at a rate of 5% per year for 6 years is $750.

The cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

A Cartesian equation is essential in mathematics. It corresponds to a mathematical formula that expresses the connection between elements as a function of their positions on a plane known as Cartesian.

A two-dimensional coordinate scheme called the Cartesian plane employs a horizontal x-axis and an upward y-axis to identify locations in space.

Given that, \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\).

So, \(csc\hspace{0.1cm}\theta=cosec \hspace{0.1cm}\theta\).

The equation becomes as follows:

\(r=2cosec\hspace{0.1cm} \theta\)

By using the trigonometric equation \(cosec\hspace{0.1cm} \theta=\frac{1}{sin\hspace{0.1cm}\theta}\), we get

\(r= \frac{2}{sin \hspace{0.1cm} \theta}\)

Multiplying both sides by \(sin\hspace{0.1cm}\theta\), we get

\(r \hspace{0.1cm}sin\hspace{0.1cm}\theta =2\hspace{0.1cm}\frac{sin\hspace{0.1cm}\theta}{sin\hspace{0.1cm}\theta}\)

\(rsin\hspace{0.1cm}\theta=2\)

By the parametric equations \(x=rcos\hspace{0.1cm}\theta\) and \(y=rsin\hspace{0.1cm}\theta\), we get

\(y=2\)

It is a horizantal line.

Hence, the cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

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The cartesian equation for the curve is: y = 2 This is a horizontal line passing through the point (0,2).

To find a Cartesian equation for the curve given by the polar equation r = 2 csc(θ), we will convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) using the following relationships:

x = r * cos(θ)
y = r * sin(θ)

Step 1: Express r in terms of θ
r = 2 csc(θ)

Step 2: Since csc(θ) = 1 / sin(θ), rewrite the equation as
r = 2 / sin(θ)

Step 3: Express x and y in terms of r and θ
x = r * cos(θ)
y = r * sin(θ)

Step 4: Substitute r from Step 2 into the y equation
y = (2 / sin(θ)) * sin(θ)

Step 5: Simplify the equation
y = 2

The Cartesian equation for the given polar equation is y = 2, which represents a horizontal line passing through the point (0, 2).

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Answer:

option D is the correct answer

hope it helps you

make me brainliest if u are satisfied with this answer

Answer:

option D

hope it helps you

Answer:

$3,700

Step-by-step explanation:

12% of 9,250 is 1,110

so each year 1,110 is subtracted from the original price of the tractor.

So if you subtract 1,110 five times from 9,250 you get 3,700.

The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable).

It is denoted by r-squared and typically takes values between 0 and 1. A value of 0 indicates that the independent variable does not explain any of the variance in the dependent variable, while a value of 1 indicates that the independent variable explains all of the variance in the dependent variable. The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable). A higher R-squared value indicates a stronger regression relationship between the two variables.

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Answer:

  see below

Step-by-step explanation:

Each point and line moves to half its previous distance from the center of dilation, the origin. So, the point (-10, -10) moves to (1/2)(-10, -10) = (-5, -5). The dilation factor applies in the same way to other coordinates.

I find it easy enough just to spot the points on the graph and draw the lines between them.

Solution

For this case we have the following equation given:

12x - 14y = -1

We need to write the following expression in this form:

y = mx +b

And if we solve for it we have:

12x +1 = 14y

Then if we divide both sides by 14 we got:

y = 12/14 x + 1/14

And if we simplify we got:

y = 6/7 x + 1/14

The probability that a randomly selected person from the photography club is over 65 and male is approximately 50.7%.

To calculate the probability that a randomly selected person from the photography club is over 65 and male, we need to find the ratio of the number of men over 65 to the total number of members.

Given that there are 71 men in total and 36 of them are 65 years of age or older, the chances of selecting a man over 65 can be calculated as:

\(\[\frac{36}{71}\]\)

Simplifying the fraction, we have:

\(\[\frac{36}{71} \approx 0.507 \approx 50.7\%\]\)

The concept used in this question is probability. The concept of probability is applied to determine the chances of selecting a specific category (over 65 and male) from a given population.

Therefore, the chances that a randomly selected person from the photography club is over 65 and male is approximately 50.7%.

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Answer:

6x+9

(2x+3)3

you would distribute 3 into 3 and 2x to get...

6x+9

Answer:  6.33 cups of flour

Step-by-step explanation:

The ratio of cups of cashews to cups of flour is 4:5.  We can set this as a ratio:  (4 cups cashews)/(5 cups flour).

If we have 3 cups of cashews, we can multiply by uasing the inverse of the above ratio:  (5 cups fluor)/(4 cups cashews)

(3 cups cashews)*((5 cups fluor)/(4 cups cashews) = (15/4)*( cups fluor) = 3.75 cuops of fluor.

The required diameter of dwarf planet is \(10^{6} m\).

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

The given statement is the diameter of 3 planet is

planet A= \(10^{9} m\)= 1000000000m

planet B=\(10^{7} m\)=10000000m

planet C= \(10^{8} m\)=100000000m

According to given question we have

A dwarf planet is discovered with a radius is 1/100 times of radius of planet C.

Radius of planet C =100000000/2=  50000000m

Radius of  dwarf planet = 1/100 times of radius of planet C.

Radius of  dwarf planet = 1/100 * 50000000m

Radius of  dwarf planet = 500000 m=\(5*10^{5} m\)

Diameter of dwarf planet =2*500000 m=1000000 m=\(10^{6} m\)

Therefore, the required diameter of dwarf planet is \(10^{6} m\).

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X AND Y INTERCEPTS

1st Answer:

x = 9

Step-by-step explanation:

first you want to substitute the y

move the expression to the left

divide both sides

move the constant to the right

calculate

change the signs

2nd Answer:

x = -65/9  OR x = - 7 2/9, x = - 7.2

Step-by-step explanation:

first you want to substitute the y

move the expression to the left

divide both sides

move the constant to the right

calculate

Answer: 79 kilograms is equal to 173.776 pounds.

Step-by-step explanation:

To convert kilograms to pounds, you can multiply the number of kilograms by 2.20462.

So, to convert 79 kilograms to pounds:

79 kg * 2.20462 = 173.776 lbs

Therefore, 79 kilograms is equal to 173.776 pounds.

the solution to the equation 32x - 1 = 243 is x = 7.625

To solve the equation 32x - 1 = 243, we can follow these steps:

1. Add 1 to both sides of the equation to isolate the term with the variable:

  32x - 1 + 1 = 243 + 1

  32x = 244

2. Divide both sides of the equation by 32 to solve for x:

  (32x) / 32 = 244 / 32

  x = 244 / 32

Simplifying further:

  x = 7.625

Therefore, the solution to the equation 32x - 1 = 243 is x = 7.625.

None of the given options (A, B, C, D) match the solution.

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The amount of metal used to make the can = surface area of cylindrical can, which is: D. 42π in².

A can is a cylinder.

Surface area of a cylinder = 2πrh + 2πr²

Thus:

Amount of metal used to make the can = surface area of the can

r = 6/2 = 3 in.

h = 4 in.

Therefore:

Surface area = 2×π×3×4 + 2×π×3²

Surface area = 24π + 18π

Surface area = 42π in².

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Answer:

B.) 25 mph

 2 5

4 | 1 0 0

8

2 0

2 0

0      0

Answer:

25mph

Step-by-step explanation:

100/4

On solving the provided question, we can say that By the help of trigonometry the angle elevation is 45.

The area of mathematics known as trigonometry looks at how triangle side lengths and angles relate to one another. In the Hellenistic era, roughly in the third century BC, the region had its initial appearance due to the use of geometry in astronomical study.

Exact mathematics focuses on specific trigonometric functions and how calculations could employ them. There are six well-known trigonometric functions in trigonometry.

They go by a variety of names and abbreviations, including sine, cosine, tangent, cotangent, secant, and cosecant (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. In geometry, the characteristics of every geometric figure are explored.

Let the pole's height be denoted by AB = h.

A pole's shadow will create the base BC.

Let the elevation angle be 9,

By the help of trigonometry

tan x = AB/BC

tan x = h/h = 1

x = tan^(-1)

x = 45

Hence, the angle elevation is 45

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Answer: 568000

Step-by-step explanation:

To find the left limit as x approaches 6, we evaluate the function from the left side:

lim x→6- f(x) = lim x→6- (x^2 + 9x)

Substituting 6 into the function:

lim x→6- f(x) = lim x→6- (6^2 + 9(6))

= lim x→6- (36 + 54)

= lim x→6- (90)

= 90

To find the right limit as x approaches 6, we evaluate the function from the right side:

lim x→6+ f(x) = lim x→6+ (x^3 - x)

Substituting 6 into the function:

lim x→6+ f(x) = lim x→6+ (6^3 - 6)

= lim x→6+ (216 - 6)

= lim x→6+ (210)

= 210

To ensure that the function is continuous at x = 6, the left and right limits must match. In this case, since the left limit is 90 and the right limit is 210, they are not equal. Therefore, the function is not continuous at x = 6.

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Answer:

-4

Step-by-step explanation:

The y-intercept of this graph is -4

The required rate of return for DAK Corporation is 12.34%.

What is the required rate?

The minimal profit (return) an investor will seek or expect in exchange for taking on the risk of investing in a stock or other type of security is known as the required rate of return (RRR). RRR can also be used to determine a project's potential profitability in relation to its funding costs.

Here, we have

Given Information

Beta =   1.25

The yield on 30-year T bonds (rf)=     5.65%

Return on S&P (rM) =    11%

Required Return for DAK = rf + Beta*(rM - rf)

= 5.65% + 1.25*(11% - 5.65%)

=  12.34%

Hence,  the required rate of return for DAK Corporation is 12.34%.

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Answer:

24.75$

Step-by-step explanation:

Answer:

Step-by-step explanation: