John is mixing paint so that he can update his apartment. He combines 7L of white paint with 3300 milliliters of blue paint. He uses 1 ½ L of paint to paint a hallway. a) What is the total combined paint? b) How much paint was left after painting? 4.

Answer:

60 degrees

Step-by-step explanation:

sum of interior angles in a triangle is always 180 degrees

find m<E from triangle CED: 43 + m<E + 35 = 180 degrees

m<E = 102 degrees

find m<A: 102 + m<A + 18 = 180

m<A = 60 degrees

Annabeth's bi-weekly gross earnings, including overtime compensation, would be $1,097.56.

Amount is a term used to describe a quantity or size of something. It is used to refer to a number of objects, items, or people, as well as a measure of money, time, or distance. Amount is also used to describe the total sum of money that is owed, received, or spent.

This amount is calculated by multiplying her hourly rate of $21.84 (which is determined by dividing her bi-weekly gross earnings of $913.45 by 40 hours) by 47 hours, which is the total number of hours worked in the week. Then, her overtime compensation of 7 hours is multiplied by her hourly rate of $21.84 multiplied by 1.5, which is the rate for time-and-a-half. The sum of these two amounts is her bi-weekly gross earnings with overtime, which is $1,097.56.

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The number of Democrats available is 15 more, under the condition that the conservatives are present in parliament.

For the given case a country's parliament was made up of 35% members from the democratic party, 20% from the conservative party, 30% from the republican party, and 27 from the labor party as a result of the general elections.
Now

We have to express this as fraction  if the parliament is made up of 35% Democrats, 20% Conservatives, 30% Republicans, and 15% Labour Party members
Republicans: 30% = 30 ÷100 = 0.30
Democrats: 35% = 35 ÷ 100 =  0.35
Conservatives: 20%  =20 ÷ 100 = 0.20
Labor party: 15% = 15 ÷ 100 = 0.15

Evaluating the number of representatives from particular party in parliament is the first step in evaluating how many more Democrats there are than Conservatives.
Democrats: 0.35 x 100 = 35 deputies
Conservatives: 0.20 x 100 = 20 deputies
Republicans: 0.30 x 100 = 30 deputies
Labor party: 27 deputies
Hence there are 35 - 20 = 15

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Answer: The first or the second point (- 2, - 3) or (- 2, 1)

Step-by-step explanation:

Ok, a relation (x, y) is a function only if, for each value x in the domain, we have only one value y in the range such that:

f(x) = y.

Here we have the pairs:

(- 2, - 3), (- 2, 1), (- 4, 3), (0, 4), (1, 1), and (2, 3).

Here, for the value x = -2, we have two different values of y.

y = 1 and y = 3.

So this is not a function, then if we want that this relation becomes a function, we must remove the first or the second point.

Answer:

I think B

Step-by-step explanation:

Answer:

B) The struggle to survive

Step-by-step explanation:

i took the test

Answer:

234

Step-by-step explanation:

Problem N 9

we have that

UW=UV+VW -----> by addition segment postulate

substitute given values

(2x-8)=(x-8)+(12)

solve for x

2x-8=x+4

2x-x=4+8

therefore

The answer is

3a - 4b

substitute a = a and b= 6 in the above

3a - 4(6)

3a - 24

Answer:

14.87

Step-by-step explanation:

Use the distance between 2 points formula:  

d = √(x2 - x1)² + (y2 - y1)²

d = √(12-2)² + (3-14)² = √10² + (-11)² = √100+121 = √221 = 14.87

Without specific grid coordinates for the bell and spoon, it's impossible to calculate the distance between the two artifacts. If such were provided, the distance could be computed by counting the number of grid squares separating the two, given that each square represents 1 foot. This kind of measurement is typical in archaeological digs.

The question does not provide enough information to calculate the specific distance between the two artifacts. In order to find the distance between the bronze bell and the pewter spoon, you would need information on their respective locations on the grid. Assuming each grid square represents a foot, you could calculate the distance in feet by measuring the number of squares between the two artifacts. This kind of problem stems from the field of coordinate geometry and is quite common during archaeological digs, where scientists use grids to accurately record the location of finds.

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Answer:

28

Step-by-step explanation:

(3)×3 - 2×(-2)×(1) + 5×(3)×(1)

9 - -4 + 15 = 28

Answer:

46

Step-by-step explanation:

Given

a³ - 2bc + 5ac ← substitute values for a, b, c into the expression

= 3³ - (2 × - 2 × 1) + (5 × 3 × 1)

= 27 - (- 4) + 15

= 27 + 4 + 15

= 46

Answer:

The value of x is 9

Step-by-step explanation:

The measure of the exterior angle at a vertex of a triangle equals the sum of the measures of the two opposite interior angles to this vertex

In the given figure

∵ ∠DFG is an exterior angle at vertex F

∵ The angles of measures (5x - 7) and 89° are the opposite interior

    angles to the vertex F

∴ m∠DFG = (5x - 7) + 89

∵ m∠DFG = 14x + 1

→ Substitute it in the equation above

∴ 14x + 1 = 5x - 7 + 89

→ Add the like terms in the right side

∵ 14x + 1 = 5x + 82

→ Subtract 1 from both sides

∵ 14x + 1 - 1 = 5x + 82 - 1

∴ 14x = 5x + 81

→ Subtract 5x from both sides

∴ 14x - 5x = 5x - 5x + 81

∴ 9x = 81

→ Divide both sides by 9

∴ x = 9

∴ The value of x is 9

The correct answer is (a) gas mileage is a response variable, and you expect to find a negative association.

The reason for this is that other things being equal, larger automobile engines require more fuel to operate, which means they are less fuel efficient. Therefore, as engine size (in liters) increases, we would expect fuel efficiency (in mpg) to decrease.

To test this hypothesis, we would need to gather data on the engine size and fuel efficiency of a sample of sport utility vehicles. We could then use regression analysis to determine the strength and direction of the association between engine size and fuel efficiency. If our hypothesis is correct, we would expect to see a negative coefficient for engine size in our regression model, indicating that larger engine sizes are indeed associated with lower fuel efficiency.

In summary, when studying the effect of engine size on fuel efficiency, gas mileage is the response variable and we expect to find a negative association between engine size and fuel efficiency.

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The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

a) The probability that in any given hour zero new visitors will arrive at the website is given by;P(X = 0) = (e^-λ λ^0)/0!Where λ = 2.3Thus;P(X = 0) = (e^-2.3 2.3^0)/0!P(X = 0) = (0.1003)/1P(X = 0) = 0.1003b) The probability that in any given hour exactly one new visitor will arrive at the website is given by;P(X = 1) = (e^-λ λ^1)/1!Where λ = 2.3Thus;P(X = 1) = (e^-2.3 2.3^1)/1!P(X = 1) = (0.2303)/1P(X = 1) = 0.2303c) The probability that in any given hour two or more new visitors will arrive at the website is given by;P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)Thus;P(X ≥ 2) = 1 - 0.1003 - 0.2303P(X ≥ 2) = 0.6694d) The probability that in any given hour fewer than three new visitors will arrive at the website is given by;P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)Thus;P(X < 3) = 0.1003 + 0.2303 + 0.2642P(X < 3) = 0.5948Therefore,The probability that in any given hour zero new visitors will arrive at the website is 0.1003.The probability that in any given hour exactly one new visitor will arrive at the website is 0.2303.The probability that in any given hour two or more new visitors will arrive at the website is 0.6694.The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

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The probability of A or B would be 0.3269. Probability can be used to make predictions and make decisions based on uncertain information in fields such as finance, engineering, and science.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will definitely occur. Events with probabilities closer to 1 are considered more likely to happen, while events with probabilities closer to 0 are considered less likely.

Since A and B are mutually exclusive events, they cannot occur at the same time. Therefore, the probability of A or B is the sum of their individual probabilities.

p(A or B) = p(A) + p(B) = 0.07692 + 0.25 = 0.32692

To four decimal places, the probability of A or B is 0.3269.

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Answer:

144 in^2

Step-by-step explanation:

Using the A = s^2 and the text says that s= 12in

 the answer is 12 in * 12 in = 144 in^2

In terms of using specific terms in your answer, you should incorporate any keywords or phrases from the student's question that are relevant to your response.

For example, in response to the question "a restaurant wants to know if its customers like its new menu. in surveys 100 randomly selected customers over one week. what is the population in this study?" you might write:"

In this study, the population refers to the entire group of customers who might potentially like or dislike the restaurant's new menu.

While the study only surveyed 100 randomly selected customers over one week, the population could include all customers who visited the restaurant during that time period or even a larger group of potential customers who have not yet visited the restaurant."

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If two ratios have the same value when simplified, then they are called Equivalent Ratios.

Equivalent ratios can be obtained by multiplying or dividing both sides by the same non-zero number.

As we want 3 equivalent ration in higher terms we will multiply it

4 : 7

by multiply with 2

4* 2 : 7* 2

8 : 14

by multiply with 3

4* 3 : 7* 3

2 : 21

by multiply with 4

4* 4 : 7* 4

16 : 28

you can multiply with any nonzero number

Hope this helped!

Have a great day!

The rate at which the base of the triangle is changing when the altitude is 20 cm and the area is 120 cm^2 is 0 cm/s.

To solve this problem, we need to use the formula for the area of a triangle, which is:

A = (1/2)bh

Where A is the area, b is the base, and h is the altitude.

We know that the area is 120 cm^2 and the altitude is 20 cm. So we can plug in these values and solve for the base:

120 = (1/2)b(20)

240 = 20b

b = 12 cm

Now we need to differentiate both sides of the equation with respect to time (t):

dA/dt = (1/2)(db/dt)h

We are given the value of dh/dt (which represents the rate at which the altitude is changing) is 3 cm/s. We need to find db/dt (which represents the rate at which the base is changing).

Plugging in the values we know, we get:

dA/dt = (1/2)(db/dt)(20)

Solving for db/dt, we get:

db/dt = (2dA/dt)/h

Plugging in the values we know, we get:

db/dt = (2)(0)/20

db/dt = 0 cm/s
Since the area is constant (120 cm²) and the altitude is constant (20 cm), the base of the triangle is not changing. Therefore, the rate at which the base is changing is: 0 cm/s

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Answer:

Machine 1: 165

Machine 2: 210

Step-by-step explanation:

Machine 1: 11 bottle per minute

11 * 15 = 165 labeled bottles per minute

Machine 2: 14 bottles per minute

14*15 = 210 labeled bottles per minute

Answer:

y+2= 3(x-1)

y=3x-3-2

y=3x-5

The y - intercept is at (0,-5)

The only graph that has the y-intercept at -5 is C

Answer is =C

Answer:

GRAPH B!!!

Step-by-step explanation:

hope this helps :)

a. The expected holding-period return of Business Adventures is 1.17 with a standard deviation of 0.40. b. The expected return of a portfolio invested half in Business Adventures and half in Treasury bills is 0.605 with a standard deviation of 0.20.

a. The expected holding-period return can be calculated by taking the weighted average of the returns in each scenario, where each scenario has an equal probability of occurring:

Expected Return = (Return in Boom * Probability of Boom) + (Return in Normal Economy * Probability of Normal Economy) + (Return in Recession * Probability of Recession)

Expected Return = (2.00 * 1/3) + (1.00 * 1/3) + (0.50 * 1/3)

Expected Return = 1.17

To calculate the standard deviation of the holding-period return, we need to calculate the variance first. The variance is the average of the squared deviations from the expected return:

Variance = [(Return in Boom - Expected Return)² * Probability of Boom] + [(Return in Normal Economy - Expected Return)² * Probability of Normal Economy] + [(Return in Recession - Expected Return)² * Probability of Recession]

Variance =\([(2.00 - 1.17)^2 * 1/3] + [(1.00 - 1.17)^2 * 1/3] + [(0.50 - 1.17)^2 * 1/3]\)

Variance = 0.1611

Finally, the standard deviation is the square root of the variance:

Standard Deviation = √Variance

Standard Deviation = √0.1611

Standard Deviation ≈ 0.40

b. To calculate the expected return of the portfolio, we need to find the weighted average of the returns of Business Adventures and Treasury bills:

Expected Return of Portfolio = (Weight of Business Adventures * Expected Return of Business Adventures) + (Weight of Treasury bills * Expected Return of Treasury bills)

Expected Return of Portfolio = (0.5 * 1.17) + (0.5 * 4%)

Expected Return of Portfolio = 0.585 + 0.02

Expected Return of Portfolio ≈ 0.605

The standard deviation of the portfolio can be calculated using the formula for a two-asset portfolio:

Standard Deviation of Portfolio = √[(Weight of Business Adventures^2 * Variance of Business Adventures) + (Weight of Treasury bills^2 * Variance of Treasury bills) + (2 * Weight of Business Adventures * Weight of Treasury bills * Covariance)]

Since Treasury bills have no variance and covariance with Business Adventures, the equation simplifies to:

Standard Deviation of Portfolio = Weight of Business Adventures * Standard Deviation of Business Adventures

Standard Deviation of Portfolio = 0.5 * 0.40

Standard Deviation of Portfolio = 0.20

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Answer:

10 gallons of Apple Juice

Step-by-step explanation:

Answer:

181?

Step-by-step explanation:

I saw a thing that it was A-squared plus B-squared=C.

9 squared=81. 10 squared=100. 100+81=181.

(If you have checks, I would definetely try it. But if you don't, and it's like a quiz or test, I wouldn't try it cuz I'm not 100% sure.

Answer:Y=190

Step-by-step explanation:I finished my exam and this answer was y=190 :) I hope I helped

Answer:

4x2 + 5x + 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

would highly recommend using the FOIL method, a mnemonic device that I was taught in my Algebra class. It's simple and very easy to learn and memorize.

So first, let's start off with the equation:

y

=

(

x

−

8

)

(

x

+

10

)

Using the FOIL method, I will:would highly recommend using the FOIL method, a mnemonic device that I was taught in my Algebra class. It's simple and very easy to learn and memorize.

So first, let's start off with the equation:

y

=

(

x

−

8

)

(

x

+

10

)

Using the FOIL method, I will:

Answer:

yes

Step-by-step explanation:

Answer:

7(y-1)

Step-by-step explanation:

First find the difference ( subtraction) of y and 1

y-1

Then multiply by 7

7(y-1)

Answer:

log₃(-2x - 3) = 2

Step-by-step explanation:

logₓ(36) = 2:

To solve this equation, we need to find the value of x for which logₓ(36) equals 2. Rewriting this equation in exponential form, we have x² = 36. Taking the square root of both sides gives us x = 6.

log₃(2x - 9) = 3:

3^(log₃(2x - 9)) = 3³

By applying the property of logarithms that states logₓ(x^a) = a, we can simplify the equation further:

2x - 9 = 27

Now, let's solve for x:

2x = 27 + 9

2x = 36

x = 36/2

x = 18

log₃(216) = x:

log₃(6³) = x

3log₃(6) = x

3 + 3log₃(2) = x

log₃(-2x - 3) = 2:

- 2x - 3 = 3²

- 2x - 3 = 9

- 2x + 3 = 9 + 3

- 2x = 9 + 3

- 2x = 12

- 2x / -2 = 12/-2

x = -6

In summary, the equation that has x = -6 as the solution is the last equation: log₃(-2x - 3) = 2