a number divided by 3 minus 5 is less than 10

The required transformation of the function is 1 unit left and 5 unit down.

Given that,
To determine the transformation of the parent function y=|x|. y=|x-1|-5.

The graph is a demonstration of curves which gives the relationship between the x and y-axis.

Here,
The function y=|x| is an absolute function,
when we add 1 unit left and 5 unit down to the function, the function arises as y=|x-1|-5. It implies the transformation of function as -1 on the x-axis and -5 units on the y-axis.

Thus, the required transformation of the function is 1 unit left and 5 unit down.

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Answer:20 pints of blue paint and 8 pints of yellow paint

Step-by-step explanation:

5 pints of blue and 2 pints of yellow make 7 pints of green. (5 + 2 = 7)You must do this four times to get 28 pints of green. (4  · 7 = 28)So you need 20 (4 · 5) pints of blue and 8 (4 · 2) pints of yellow.

What's happening is that every subtraction can be written as "addition of the opposite."

18-5 = 18 + (-5)

One reason this is done in the work you showed is that they're trying to show why you distribute the negative and the 1 into the parentheses, why you multiply everything in the parentheses by "-1" and not just 1.

The other reason is to later to be able to move the individual terms around, so you'll be able to combine like terms.

When you move terms around, the sign has to stay attached to the term, so writing all the subtractions as addition helps keep the sign attached.

In the Stackelberg case, Firm 1 has a higher profit (562.5 > 277.78) and Firm 2 has a lower profit (156.25 < 277.78) than in the simultaneous-move case.

1. In the Stackelberg case, let Firm 1 choose output y1 first, and then Firm 2 decides y2 after observing y1. Firm 1 is the leader and Firm 2 is the follower. Thus, the optimization problem for Firm 2 is as follows:

Max p(y1 + y2) * y2 - c2(y2), where y1 is chosen by Firm 1.

Thus, the profit function of Firm 2 is Π2(y1, y2) = (100 − 2(y1 + y2))y2 − 4y2

                                                                              = (100 − 2y1 − 2y2)y2

Differentiating with respect to y2, we obtain:

∂Π2(y1, y2) / ∂y2 = 100 − 2y1 − 4y2

Setting this equal to zero, we obtain:

50 − y1 = 2y2

Thus, Firm 2's best response function is: yˆ2(y1) = (50 − y1)/2

Now, Firm 1 knows that Firm 2 will choose yˆ2 given that it already chose y1.

Firm 1 chooses y1 to maximize its own profit, which is:

Π1(y1) = (100 − 2(y1 + yˆ2(y1)))y1 − 2y1

= (100 − 2y1 − 25 + 0.5y1)y1

= (75 − 1.5y1)y1

Differentiating with respect to y1, we obtain:

∂Π1(y1) / ∂y1 = 75 − 3y1

Setting this equal to zero, we obtain:

y1 = 25

Thus, yˆ1 = 25, and yˆ2 = (50 − y1)/2 = 12.5.

The profit of Firm 1 is Π1(y1) = (75 − 1.5y1)y1 = 562.5, and the profit of Firm 2 is

= Π2(y1, y2)

= (100 − 2y1 − 2y2)y2

= 156.25.2.

In the simultaneous-move case, the optimization problem for Firm 1 is as follows:

Max p(y1 + y2) * y1 - c1(y1) - c2(y2)

Similarly, the optimization problem for Firm 2 is: Max p(y1 + y2) * y2 - c1(y1) - c2(y2)

These two problems can be combined into a single problem by substituting

p(y1 + y2) = 100 − 2(y1 + y2) and

c1(y1) = 2y1 and c2(y2) = 4y2.

Thus, the profit function of each firm is:

Π1(y1, y2) = (50 − y1 − y2)y1Π2(y1, y2) = (50 − y1 − y2)y2

The first-order conditions for maximizing these profit functions are:

= ∂Π1(y1, y2) / ∂y1

= 50 − 2y1 − y2

= 0

∂Π2(y1, y2) / ∂y2 = 50 − y1 − 2y2 = 0

Solving these equations simultaneously, we obtain:

y1 = 16.67, y2 = 16.67, and Π1(y1, y2) = Π2(y1, y2) = 277.78.

Comparing this to the Stackelberg case, we see that both firms are worse off in the simultaneous-move case. In the Stackelberg case, Firm 1 has a higher profit (562.5 > 277.78), and Firm 2 has a lower profit (156.25 < 277.78) than in the simultaneous-move case. Thus, Firm 1 is better off in the Stackelberg case, and Firm 2 is worse off.

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Answer:

<

Step-by-step explanation:

1/2 = 4/8

=> 1/8 < 4/8

=> 1/8 < 1/2

Answer:

92 pounds

Step-by-step explanation:

Here is the complete question ;

4 people are going to a dinner party. Each person at the party will eat 23 pound of cake. If you can only buy whole pounds of cake, how many pounds should you buy?

total pounds to be bought = number of people at the party x total pounds they would eat

4 x 23 = 92 pounds

To determine the required sample size for a political poll with a 4% margin of error and a 97.5% confidence level, a formula can be used. For this scenario, the sample size required would be approximately 862 respondents.

To calculate the sample size needed for a political poll with a 4% margin of error and a 97.5% confidence level, the following formula can be used:

n = (Z^2 * p * (1-p)) / E^2

Where:

n is the sample size

Z is the Z-score associated with the desired confidence level (in this case, it is 2.24)

p is the expected proportion of support for the candidate (this value is typically unknown, so a conservative estimate of 0.5 is often used to get the maximum sample size)

E is the margin of error

Plugging in the values for this scenario, we get:

n = (2.24^2 * 0.5 * (1-0.5)) / 0.04^2

n ≈ 862

Therefore, the required sample size for this political poll is approximately 862 respondents. This sample size would provide a margin of error of 4% at a 97.5% confidence level, meaning that there is a 97.5% chance that the true proportion of support for the candidate lies within the range of the survey results plus or minus the margin of error.

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Answer:

The order of the clocks listed below

Step-by-step explanation:

1) 7:01

2) 12:12

3) 4:29

4) 1:11

5) 3:46

6) 6:33

7) 10:15

8) 6:59

9) 2:23

ANSWER

(a) 40 miles

(b) 40

EXPLANATION

(a) In the graph, for each hour passed, the line increases 40 miles vertically,

Hence, the distance increases by 40 miles each hour.

(b) The slope is the ratio between the vertical increase and the horizontal increase:

Hence, the slope is 40.

The statement "Quadrilaterals A and B are both squares" does not provide enough information to determine whether A and B are scale copies of one another.

To determine if two quadrilaterals are scale copies of each other, we need to compare their corresponding sides and angles. If the corresponding sides of two quadrilaterals are proportional and their corresponding angles are congruent, then they are scale copies of each other.

In this case, since both A and B are squares, we know that all of their angles are right angles (90 degrees). However, we do not have any information about the lengths of their sides. Without knowing the lengths of the sides of A and B, we cannot determine if they are scale copies of each other.

Therefore, the statement cannot be determined as true or false based on the given information.

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The expression 2 + 5i - i( 3 - 6i ) simplified in a+bi form is -4 + 2i.

Given the expression in the question:

2 + 5i - i( 3 - 6i )

To simplify the expression 2 + 5i - i( 3 - 6i ), first, apply the distributive property to remove the parenthesis:

2 + 5i - i( 3 - 6i )

2 + 5i - i × 3 - i × - 6i

2 + 5i - 3i + 6i²

Note that: i²  is the same as (-1).

Hence:
2 + 5i - 3i + 6( -1 )

Simplifying, we get:

2 + 5i - 3i - 6

Collect and add like terms:

2 - 6 + 5i - 3i

-4 + 2i

Therefore, the simplified form is -4 + 2i.

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Answer:

7.4 cm

Step-by-step explanation:

cos 52 = x/12

x = 12 cos 52

x = 7.4 cm

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AB}{BC}\) = \(\frac{AB}{12}\) ( multiply both sides by 12 )

12 × cos62° = AB , thus

AB ≈ 5.6 cm ( to 1 dec. place )

Answer:

second number = - 28

Step-by-step explanation:

let the first number be x and the second number y , then

x + y = - 18 , that is

10 + y = - 18 ( subtract 10 from both sides )

y = - 28 , that is

the second number is - 28

Answer:

Step-by-step explanation:

The equation that represents the situation is -28 + 10 = -18

The second number is -28.

Answer:

x = 17

Step-by-step explanation:

\(45 + 68 + (3x+16) = 180 \\ \\ 113 + 3x + 16 = 180 \\ \\ 129 + 3x = 180 \\ \\ 3x = 180 - 129 \\ \\ 3x = 51 \\ \\ x = \frac{51}{3} \\ \\ x = 17\)

Answer:

7.5

Step-by-step explanation:

The values 15ft, 13ft and x are the sides of a right triangle;

According to pythagoras theorem;

15² = 13²+x²

x² = 15² - 13²

x² = 225 -169

x² = 56

x = √56

x = 7.48

Hence the value of x to the nearest tenth is 7.5 to the nearest tenth

Answer:

45%

Step-by-step explanation:

In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?

P (no bro / yes sis) = P(no bro) - P(sis and bro)

       = 12/20 - 3/20

       = 9/20

       or 45%

Answer:

you just do 1x2x3x4

and then that equals 24

so now you have 24 and then you add 4 zeros because their are 4 zeros in the equation so then the final answer is

240000

Step-by-step explanation:

We have the following:

In this case, what we must do is calculate the weighted average, as follows:

The mean salary is $28112

Answer:

132 sq units

Step-by-step explanation:

===============================================

Work Shown:

1 gallon = 16 cups

3 gallons = 48 cups ... multiply both sides by 3

(2 cups of milk)/(1 cake) = (48 cups of milk)/(x cakes)

2/1 = 48/x

2x = 1*48

2x = 48

x = 48/2

x = 24

He can make 24 cakes.

The work done by the force is approximately 1.9 Joules.

The force experienced by an object moving along the parametrized curve r(t) = t, t², t³ with 0 ≤ t ≤ 1

when the force is given by f = 2x²y, -xz, 2z can be computed using the equation,W = ∫F.dr,where F is the force vector and dr is the displacement vector of the object.

Therefore, the work done by the force is given byW = ∫F.dr = ∫(2x²y, -xz, 2z).(dx, dy, dz)

Here, we need to express the given parametric equation of the curve in terms of x, y, and z.t = x, t² = y, t³ = z.

Then, dx = dt, dy = 2tdt, dz = 3t²dt.

Substituting these values, we haveW = ∫(2x²y, -xz, 2z).(dx, dy, dz)= ∫(2x²t², -x.t³, 2t³).(dt, 2tdt, 3t²dt)= ∫(2t².x² + 6t⁵)dt = [2/3.t³.x² + 1/2.t⁶]₁₀= (2/3.1³.x² + 1/2.1⁶) - (2/3.0³.x² + 1/2.0⁶)= 2/3.x² + 1/2.≈ 1.9J

Therefore, the work done by the force is approximately 1.9 Joules.

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Answer:

2/5 * 4/5 =  8/25        7/9 * 2/3 = 14/27   4/7 * 2/3 = 8/21  1/6 * 7/8 = 7/48  2/3 *3/9 = 2/9

Step-by-step explanation: Just multiply the top with top and bottom with the bottom    To draw = just use a ruler for the width  we know if you measure the square box say it is already { 20 mm } wide  then you 2 * 4 = 8 is 2/5 of 20 so you shade the 8mm    Then to get the 4 as ultiplier we know 20/5 =4  

The algebraic expression to represent the cost of buying r records and c CDs is given as, Cost = 3r + 1.5c

The music store is selling the records for a price of $3.00 and the CDs for $1.50 each. Let us say someone buys r number of record and c number of CDs.

So, the final algebraic expression that we will get from the above mentioned information is Cost = 3r + 1.5c.

Here, 3r represents the cost of buying "r" number of records at $3.00 each, and 1.5c represents the cost of buying "c" number of  CDs at $1.50 each. By adding these two costs together, we can find the total cost of buying r number of records and c number of CDs.

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Angles Formulas at the center of a circle can be expressed as:

Central angle, θ = (Arc length × 360º)/(2πr) degrees

Sum of Interior angles=180°(n-2)

The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.

The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.

There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...

We use the central angle formula to determine the angle of a segment made in a circle.

We use the sum of the interior angles formula to determine the missing angle in a polygon.

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It's important to note that the ratio doesn't mean that it takes akiko 6 min to get to school.

Ratio simply means the comparison of numbers. In this case, when akkiko rides her bike to school ahe travels 1 mi for every 6 min.

In this case, let's day the school is 10 miles, the minutes used will be:

= 10 × 6

= 60 minutes.

In this case, it doesn't mean that he will get to school in 6 minutes.

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Step 01:

Data

total math problems = 60

problems solved = 1/4

problems

Step 02:

Answer:

i may be wrong but itcould be 1/3 butt i dont know ur A.B.C.D

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

First, find 5/8 of 48

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

48

1

So now that we've converted 48 into a fraction, to work out the answer, we put the fraction 5/8 side by side with our new fraction, 48/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

5 x 48/8 x 1 = 240/8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 240 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

240/8 = 30

8/8 = 1

When we put that together, we can see that our complete answer is:

30/1

The complete and simplified answer to the question what is 5/8 of 48 is:

Now that we have found 5/8 of 48. It can be confirmed that Sue gave her sister 30 dolls.

The variance (σ^2) for the given pmf is 0.416.

To find the variance and standard deviation of a random variable with a given probability mass function (pmf), you can use the following formulas:

Variance (σ^2):

σ^2 = Σ((x - μ)^2 * p(X=x))

Standard Deviation (σ):

σ = √σ^2

However, before calculating the variance and standard deviation, we need to find the expected value (μ) of the random variable. Let's start by calculating the expected value:

X=x       1       2      3

p(X=x)   1/5    2/5    2/5

Step 1: Calculate the expected value (μ):

μ = (1 * 1/5) + (2 * 2/5) + (3 * 2/5)

  = 1/5 + 4/5 + 6/5

  = 11/5

  = 2.2

Now that we have the expected value (μ), we can calculate the variance and standard deviation:

Step 2: Calculate the variance (σ^2):

σ^2 = ((1 - 2.2)^2 * 1/5) + ((2 - 2.2)^2 * 2/5) + ((3 - 2.2)^2 * 2/5)

   = (1.2^2 * 1/5) + (0.2^2 * 2/5) + (0.8^2 * 2/5)

   = (1.44/5) + (0.04/5) + (0.64/5)

   = 2.08/5

   = 0.416

Step 3: Calculate the standard deviation (σ):

σ = √(0.416)

  ≈ 0.645

Therefore, the variance (σ^2) is 0.416, and the standard deviation (σ) is approximately 0.645 for the given pmf.

Complete question: Find the variance and of a random variable whose p.m.f is.

X=x       1        2 3

p(X=x)    1/5    2/5    2/5

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