Four friend earned $5.20 fro washing a car. They shared teh money equally. How much did each friend get?

Based on the current real and the full employment real GDP, Rayton's economy is at a Recession stage.

The current budget balance in Rayton is -$1,000. The budget can be balanced by reducing government spending or increasing taxes. Both of these would decrease real GDP.

The fact that the current real GDP is less than the full employment GDP shows that the nation is at a recession stage where it is underperforming.

This can be found as:

= Government revenue(taxes) - government spending

= 3,000 - 1,000 - 3,000

= -$4,000

In order to make a balanced budget where government revenue will equal government spending, the government either needs to reduce spending or increase revenue ( taxes ).

Increasing taxes or reducing spending, will lead to less money available for spending in the economy which will lead to a decrease in real GDP.

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The first left turn, the value of d will be -1i, indicating that the robot is now facing north.

Value is the worth of something, which can be measured in terms of money, time or importance. It is something that is sought after and desired. Value can also be seen in terms of a person's character, morals, beliefs, and principles. It is an intangible concept that is difficult to quantify, but it is often sought after and is an important aspect of life. Value is what makes something worthwhile and irreplaceable.

The robot will need to be able to detect walls. As it moves through the maze, it will need to be able to detect when it is about to hit a wall. This can be done using sensors. The sensors should be able to detect the wall and the distance from the wall. This will allow the robot to turn in the correct direction and avoid hitting the wall.

The robot will also need to be able to detect when it has reached the end of the maze. This can be done by programming the robot to recognize when it has come to a dead end, or when it has reached a certain point in the maze. Once the robot has reached the end, it can then turn around and exit the maze.

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Answer:

8/15 of an hour

Step-by-step explanation:

Add the fractions together

1/3 + 1/5

Get a common denominator

1/3 *5/5 = 5/15

1/5 *3/3 = 3/15

Add together

5/15 + 3/15 = 8/15

Answer:

8/15

Step-by-step explanation:

1/3 x 5 = 5/15

1/5 x 3 = 3/15

5/15 + 3/15 = 8/15

Answer:

3795

Step-by-step explanation:

1265 multiplied by 3 is 3795.

Answer:

Step-by-step explanation:

24

Answer:

v=8

Step-by-step explanation:

35=3v+11

subtract 11 from both sides

35-11=3v

24=3v

divide both sides by 3

8=v

Answer:

V=8.

Step-by-step explanation:

To get the answer you first subtract 11 from both sides of the equation

35=3v+11

-11         -11

The two 11's on the right side would cancel out leaving

24=3v

Then you divide both sides by 3

24/3=3/3

the two 3's would cancel out leaving

24/3 or 24 divided by 3.

24/3 equals 8.

so in conclusion v=8.

Hope this helps! :D

Answer:

30 \((1 + \frac{.18}{12})^{5*12}\)

Step-by-step explanation:

Answer:

C. 42

Step-by-step explanation:

7/8

- 7x6 = 42

- 8x6 = 48

So, 42/48

Answer:

42

Step-by-step explanation:

The uniform continuous probability for the interval (25 < x < 45) within the uniform distribution U(15, 65) can be found by calculating the proportion of the total range that falls within that interval.

To calculate the probability, we need to determine the length of the interval (45 - 25) and divide it by the length of the entire range (65 - 15).

Length of the interval: 45 - 25 = 20

Length of the entire range: 65 - 15 = 50

Now, we divide the length of the interval by the length of the entire range to obtain the probability:

Probability = (Length of interval) / (Length of entire range) = 20 / 50 = 0.4

Therefore, the uniform continuous probability for p(25 < x < 45) within the uniform distribution U(15, 65) is 0.4, rounded to one decimal place.

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Answer:

5

Step-by-step explanation:

16 - 11 = 5

Answer:

Length of RK=27

Step-by-step explanation:

Basically, you add both parts OR and OK, in order to get RK.

Answer:

x is less than or equal to -2

Step-by-step explanation:

Answer:

(1) let pen = x

let pencil= y

i) y ≤ 5x

ii) 5x + 2y ≤ 40

Step-by-step explanation:

at most = maximum

Answer:

0.8,√2,2π

Step-by-step explanation:

Answer:

the second one, then the first, then the last one

Step-by-step explanation:

the first one is = to 1

the second one is = to 6.3

the third one is = to .8

Answer:

slope=-25  y-intercept=2

Step-by-step explanation:

Answer: Slope=-25

y-int=2

Step-by-step explanation: y=mx+b, m is the slope and b is the y-int. The slope is the number in front of x like -25x that is -25. The y-int is the next to the slope which is 2.

The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

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The height of the monument is 570 feet. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

To solve this problem, we need to use the concept of similar triangles. We can set up a proportion: (height of Monument) / (length of Monument's shadow) = (height of tourist) / (length of tourist's shadow)

Let x be the height of the Monument. Then we have:

x / 285 = 5 / 2.5

Cross-multiplying, we get:

2.5x = 5 * 285

Simplifying, we get:

x = 570

Therefore, the Monument is 570 feet tall.

To find the height of the monument, we can use the concept of similar triangles. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

Set up a proportion using the height and shadow length of the tourist and the monument:

(height of monument) / (shadow of monument) = (height of tourist) / (shadow of tourist)

Let x represent the height of the monument. Then:

x / 285 = 5 / 2.5

Now, solve for x:

x = (5 / 2.5) * 285
x = 2 * 285
x = 570 feet

The height of the monument is 570 feet.

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(a)Probability that a person could give up cell phone = 0.48

(b)Probability that a person who could give up her cell phone also could give up television is 0.65

(c) Probability that a person who could not give up a cell phone could give up television is 0.73

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

According to  the given question:

a. Probability that a person could give up cell phone = 0.48

b. Probability that a person who could give up her cell phone also could give up television

= P(give up cell phone and TV)/p(give up cell phone)

= 0.31/0.48

= 0.6458

= 0.65

c. Probability that a person who could not give up a cell phone could give up television is

= P(could not give up cellphone and could give up TV)/P(could not give up cell phone)

= 0.38/0.52

= 0.73

d. The probability a person could give up television is higher for persons who couldn't give up cell phones than for those who could give up their cell phones.

Hence,

(a)Probability that a person could give up cell phone = 0.48

(b)Probability that a person who could give up her cell phone also could give up television is 0.65

(c) Probability that a person who could not give up a cell phone could give up television is 0.73

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Answer: The original price of the clearance item is $32.

Step-by-step explanation:

1/2p=16

p=32

This equation holds true, which confirms that AB is indeed the hypotenuse of the right triangle.

If the Pythagorean equation holds for all right triangles and ∠C is a right angle, then we can use the Pythagorean theorem to show that side AB is indeed the hypotenuse of the triangle.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So in this case, we have side AB as the hypotenuse, and sides AC and BC as the other two sides.

According to the Pythagorean theorem, we have:
AB^2 = AC^2 + BC^2

Since ∠C is a right angle, AC and BC are the legs of the triangle. By substituting these values into the equation, we get:
AB^2 = AC^2 + BC^2
AB^2 = AB^2

This equation holds true, which confirms that AB is indeed the hypotenuse of the right triangle.

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Answer:

See the explanations below

Step-by-step explanation:

Given the function y = x²+12x

We are to find the inverse and identify the error in the calculation:

Step 1: Replace y with x

x = y²+12y

First Error: There is an error here y, the variable attached to x should be y and not x that is y =  y²+12y and not y = y²+12x. The x should be totally replaced with

The second error is where he wrote y = √-11x

The square root of a value must return both negative and positive value not only the positive value. Hence the correct expression should have been y = ±√-11x (Note that the sign ± was introduced)

Third error: Since the value inside the square rot is a negative value hence the value of x must be negative i.e x must be less than zero not greater then. The correct inequality expression should have been x <0 and not

x< 0

Answer:

\(\huge\boxed{B.\ T>-72}\)

Step-by-step explanation:

\(\dfrac{T}{4}+8>-10\qquad|\text{subtract 8 from both sides}\\\\\dfrac{T}{4}+8-8>-10-8\\\\\dfrac{T}{4}>-18\qquad|\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup\cdot\dfrac{T}{4\!\!\!\!\diagup}>(4)(-18)\\\\T>-72\)

Answer:

a = c * SinФ

Step-by-step explanation:

SinФ = opp / hyp

c = hyp

a = opp

SinФ = a / c

therefore

a = c * SinФ

Find out the slope

m=(11+1)/(-12+3)

m=12/-9

simplify

m=-4/3

therefore

These are the partial derivatives of the given functions with respect to x and y.

find the partial derivatives of each of the given functions with respect to x and y, while treating the other variable as a constant:

1. f(x, y) = -4xy + 2x

Partial derivative with respect to x: ∂f/∂x = -4y + 2

Partial derivative with respect to y:

∂f/∂y = -4x

2. f(x, y) = 5x²y + 3y² + 2

Partial derivative with respect to x:

∂f/∂x = 10xy

Partial derivative with respect to y:

∂f/∂y = 5x² + 6y

3. f(x, y) = (2x²)/(x²)

Partial derivative with respect to x:

∂f/∂x = 2

Partial derivative with respect to y:

∂f/∂y = 0 (Since y is not involved in the expression)

4. f(x, y) = (0.5y)/(y)

Partial derivative with respect to x:

∂f/∂x = 0 (Since x is not involved in the expression)

Partial derivative with respect to y:

∂f/∂y = 0.5(1/y) = 0.5/y

5. f(x, y) = ln(2x)/y

Partial derivative with respect to x:

∂f/∂x = (1/(2x))/y = 1/(2xy)

Partial derivative with respect to y:

∂f/∂y = -ln(2x)/(y²)

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Central Idea of the Poem; In the poem ‘Animals’, the poet Walt Whitman praises animals for being better than human beings and for possessing all such qualities that humans lack or have forgotten.

The poem Animals' central theme is that humans might get wisdom and virtues from the animals they formerly owned but have since lost.

The poet claims that animals possess many admirable traits like self-control, impartiality, and tranquility.

The comparison of people to animals in order to emphasize the shortcomings in human nature is the poem's main focus rather than praising how wonderful animals are.

The poet thinks that possibly people once possessed all of the virtues listed above, but that they have since lost them.

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Given the problem:

Answer:

A

Step-by-step explanation:

Equate f(x) to 8 , that is

\(2^{x}\) = 8 = 2³

Since bases on both sides are equal, both 2, then equate exponents

x = 3

The value of the x when the exponential function shown in the graph f(x) = 2ˣ is 8 is when x = 3, which is option A.

Here, given the graph of the function,

f(x) = 2ˣ

We have to find the value of x when f(x) = 8.

In order to find the value of x, when f(x) = 8, we have to write as,

f(x) = 8

2ˣ = 8

Now write 8 as an exponent with base 2.

2ˣ = 2³

Hence the value of x = 3

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Answer:

To solve this equation, we can divide both sides by 5 to find the value of x:

5x = 12 x = 12/5 x = 2.4

So the temperature decreased by 2.4° every hour.

The math equation for this example would be 12 courses divided by 4 courses = 3 semesters.

The formula for computing the minimum number of semesters it would take a student to take all of the courses is calculated by dividing the total number of courses by the number of courses that can be taken in a semester. For example, if a student needs to take 12 courses, and the maximum number of courses that can be taken in a semester is 4, then the minimum number of semesters it would take the student to take all of the courses is 3 semesters. The math equation for this example would be 12 courses divided by 4 courses = 3 semesters. In order to determine the exact number of semesters it would take a student to take all of the courses, the total number of courses must be divided by the number of courses that can be taken in a semester.

The formula for calculating the minimum number of semesters it would take a student to take all of the courses is Total Number of Courses divided by Number of Courses that can be taken in a semester. For example, if a student needs to take 12 courses, and the maximum number of courses that can be taken in a semester is 4, then the minimum number of semesters it would take the student to take all of the courses is 3 semesters. The math equation for this example would be 12 courses divided by 4 courses = 3 semesters.

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