Let W be the set of all points in R2 of the form (3,2 + 5t). Determine
if W is a subspace of R2.

Answer:

24

Step-by-step explanation:

24/6  = 4

24/ 8 = 3

7/8 = (7*3) / (8*3) = 21/24

5/6 = (5*4) / (6*4) = 20/24

The least common denominator of the fractions is:

24

Answer:

More than likely no full answer key however there might be answers for each individual question.

88 kilometers per hour in miles per hour is 54.68 mi/hr

Note that:

1 km = 0.6214 miles

The measurement to convert is 88 kilometers per hour

Multiply 88 kilometers per hour by 0.6214 to convert to miles per hour

88 kilometers per hour = 88 x 0.6214 miles per hour

88 kilometers per hour = 54.6832 miles per hour

88 kilometers per hour =  54.68 mi/hr

Therefore, 88 kilometers per hour in miles per hour is 54.68 mi/hr

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Solution

We have the function

The graph of the function is

Answer: To determine the range of input (L) over which production should take place, we need to find the point at which the marginal product of labor (MPL) is zero:

MPL = 20 - 0.4L

0 = 20 - 0.4L

0.4L = 20

L = 50

So production should take place for values of L less than or equal to 50.

To find the range of output over this range of labor, we can use the average product of labor (APL) equation:

APL = 20 - 0.2L - 320/L

Substituting L = 50, we get:

APL = 20 - 0.2(50) - 320/50

APL = 20 - 10 - 6.4

APL = 3.6

So the range of output over the range of labor from 0 to 50 is approximately 0 to 3.6 units of output.

Step-by-step explanation:

Answer:

c = 41 ft

Step-by-step explanation:

To solve this problem, we can use the pythagorean theorem, which is defined by the formula \(a^2+b^2=c^2\). We are given both the lengths of the legs, so all we need to do is to plug them both in and solve for c:

\(9^2+40^2 = c^2\\c^2 = 81 + 1600\\c^2 = 1681\\c = 41\)

This is the first option.

Answer:

 4π cm

Step-by-step explanation:

The length of an arc of a circle with radius r and central angle θ is given by ...

  s = rθ

where θ is in radians.

Here, your arc measures 60° = π/3 radians, so the arc length is ...

  s = (12 cm)(π/3) = 4π cm

Answer:

3/4^ 8/3= 24/12= 2 so d.2bags

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Answer: No real solutions.

Step-by-step explanation: −x2=8x+20

Step 1: Subtract8x+20  from both sides.

−x2−(8x+20)=8x+20−(8x+20)

−x2−8x−20=0

For this equation: a=-1, b=-8, c=-20

−1x2+−8x+−20=0

Step 2: Use quadratic formula with a=-1, b=-8, c=-20

The rounded answer is that approximately 68% of scores were between 473 and 559.

To calculate this, we can use the formula for a normal distribution: P(μ−σ < X < μ+σ) = 68%, where μ is the mean and σ is the standard deviation.

For our problem, our mean is 516 and our standard deviation is 43. Therefore, our equation becomes P(473 < X < 559) = 68%. This means that 68% of scores were between 473 and 559, which is our answer.

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Answer:

B) 10-6x is the answer ...

The probability that:

First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).

So,

np = 700.83 = 58.1,

n(1-p) = 700.17 = 11.9.

Both quantities are larger than 5, so use the normal approximation.

Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.

(a) within 2 years 47 or more fall:

This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.

So the probability that 47 or more products fail is approximately 0.9525.

(b) within 2 years 58 or fewer fail:

This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.

So the probability that 58 or fewer products fail is approximately 0.5250.

(c) within 2 years 15 or more succeed:

Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.

The probability that a standard normal variable is greater than -0.567 is 0.7151.

So the probability that 15 or more products succeed is approximately 0.7151.

(d) within 2 years fewer than 10 succeed:

This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.

The probability that a standard normal variable is less than 0.377 is 0.6478.

However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.

So the probability that fewer than 10 products succeed is approximately 0.3522.

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Answer:

C. 240 in^2

Step-by-step explanation:

is it stated that two triangles are similar.

If they are similar then their area must be proportional too.

The side lengths' proportion is :

12/60 = 1/5 this can be used to find the area of the smaller triangle, ABC
Let x represent the are of triangle ABC

1/5 = x/1200 cross multiply both sides

5x = 1200 divide both sides by 5

x = 240 since the area is indicated with square value so the answer is

C. 240 in^2

Answer:

b

Step-by-step explanation:

Answer:

I am guessing , atleast 8

Step-by-step explanation:

Answer:

-0.5

Step-by-step explanation:

Answer: -0.5

-5 - (-0.5) = -4.5

Answer:

11 you have to put the numbers in order and then if there is an even amount then the middle two numbers you add them and then divide by 2

Answer:

The median is 11

Step-by-step explanation:

1. You have to arrange the numbers from smallest to largest

2, 8, 10, 11, 11, 11, 13, 14, 18, 19

2. If the number of data points is odd, the median is the middle data point in the list. But since this number of data points is even, the median is the average of the two middle data points in the list.

So you would add the two numbers that are in middle, in this case they're both 11

11 + 11 = 22

22 divided by 2 = 11

Hope this helps :)

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

B. 2 miles

Step-by-step explanation:

Find out how many total feet the student runs.

2,640 + 7,920 = 10560

10560 feet = 2 miles

Answer:

b

Step-by-step explanation:

its B cuz for every 5280 feet its 1 mile

Answer:

A dependent is a person other than the taxpayer or spouse who entitles the taxpayer to claim a dependency exemption. Each dependency exemption decreases income subject to tax by the exemption amount.

Step-by-step explanation:

Two calculations that she can do to find the cost are:

Remember that if we have a value A, and we want to apply a discount X (where X is a percentage) then the value after the discount is:

A' = A*(1 - X%/100%)

Here we know that the initial value of the pants is c dollars, and the discount is of the 15%, then the expression that we need to solve is:

cost = c*(1 - 15%/100%)

Now we can simplify that expression to get:

cost = c*(1 - 0.15)

cost = c*0.85

These the calculations that she needs to do.

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Step-by-step explanation:

huh. ftgjthyghdrujgvj

fnjdtddg

The system of equations has a solution such that x = -3 and y = 2.

To solve the system of linear equations:

3x - y = -11

-x + y = 5

We can use the method of elimination:

Add the two equations together to eliminate y:

3x - y + (-x + y) = -11 + 5

Simplifying:

2x = -6

Divide both sides by 2:

x = -3

Substitute x = -3 into one of the equations to solve for y:

-x + y = 5

-(-3) + y = 5

3 + y = 5

Subtract 3 from both sides:

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2.

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Answer: x = 3

Step-by-step explanation:

Simplifying

10x + -4 = 6x + 8

Reorder the terms:

-4 + 10x = 6x + 8

Reorder the terms:

-4 + 10x = 8 + 6x

Solving

-4 + 10x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-4 + 10x + -6x = 8 + 6x + -6x

Combine like terms: 10x + -6x = 4x

-4 + 4x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

-4 + 4x = 8 + 0

-4 + 4x = 8

Add '4' to each side of the equation.

-4 + 4 + 4x = 8 + 4

Combine like terms: -4 + 4 = 0

0 + 4x = 8 + 4

4x = 8 + 4

Combine like terms: 8 + 4 = 12

4x = 12

Divide each side by '4'.

x = 3

Simplifying

x = 3

Add

to both sides of the equation

Simplify

Add

to both sides of the equation

Simplify

6

Divide both sides of the equation by the same term

Answer:

  33

Step-by-step explanation:

Let n represent the number. 99 less than 4 times the number is 4n-99. That is equal to the number:

  4n -99 = n

  3n = 99  . . . . . .  add 99-n

  n = 33 . . . . . . . . . divide by 3

The number is 33.

The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.

In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.

The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}

This includes all the possible lights that could be seen on the two mornings by Julie.

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Answer:3

Step-by-step explanation: i think

Answer:

He can by 3 candy bars.

Step-by-step explanation:

15.00-9.95=5.05

5.05-1.50=3.55

3.55-1.50=2.05

2.05-1.50=0.55 cents