For what value(s) of k will the relation not be a function?
#1: A = {(k^2, 16), (4k, 32)}
#2: B = {(k^2-5k, 10), (k+7, 4)}
#3: R = {(k^3-5k^2+3k, -5), (-k, 4)}
#4: S = {(|k+1|+2, 4), (8, 7)}

The total interest earned by Leila is $ 40 and the total amount at the end of 2 years is $ 440.

Given that:-

Amount deposited by Leila in the savings account = $ 400

Simple interest = 5 % per annum

We have to find the total interest earned by Leila and the amount of money in the account after 2 years.

We know that,

Simple interest = (Principal*Rate*Time)/100

Here,

Principal = $ 400

Rate = 5 % per annum

Time = 2 years

Hence,

Simple interest = (400*5*2)/100 = $ 40

Total amount = Principal + Interest = $ 400 + $ 40 = $ 440.

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To calculate Randy Burgarner's social security tax withholding, we first need to determine his gross monthly salary. Randy's total earnings to date are $14,400.00. Since we know that his gross monthly salary is $3,600.00, we can divide the total earnings by the number of months worked.

Social security tax withholding is $223.20 and medicare tax withholding for Randy Burgarner is $52.20. The solution to this problem is explained as under.

Total earnings to date: $14,400.00
Gross monthly salary: $3,600.00
Months worked = Total earnings to date ÷ Gross monthly salary
Months worked = $14,400.00 ÷ $3,600.00
Months worked = 4
Randy has worked for 4 months. Now we can calculate the social security tax withholding for this month.

The social security tax rate is 6.2% of the gross salary. To find the social security tax withholding, we multiply the gross monthly salary by the social security tax rate.
Social Security tax rate: 6.2%
Gross monthly salary: $3,600.00
Social Security tax withholding = Gross monthly salary × Social Security tax rate
Social security tax withholding = $3,600.00 × 6.2%
Social security tax withholding = $223.20
Therefore, this month's social security tax withholding for Randy Burgarner is $223.20.

Now let's calculate the Medicare tax withholding for this month.
The Medicare tax rate is 1.45% of the gross salary. To find the Medicare tax withholding, we multiply the gross monthly salary by the Medicare tax rate.
Medicare tax rate: 1.45%
Gross monthly salary: $3,600.00
Medicare tax withholding = Gross monthly salary × Medicare tax rate
Medicare tax withholding = $3,600.00 × 1.45%
Medicare tax withholding = $52.20

Therefore, this month's Medicare tax withholding for Randy Burgarner is $52.20.

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The area of the circle is 24300 square centimeters

The given parameters are:

Radius, r = 88 cm

The area is calculated using:

Area = πr²

So, we have:

Area = 3.14 * 88²

Evaluate

Area = 24316.16

Approximate

Area = 24300

Hence, the area of the circle is 24300 square centimeters

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Answer:

320 i think

Step-by-step explanation:

Answer:

Length of an edge=4.0825 inches

Approximately 4.1 inches

Step-by-step explanation:

Lateral surface area of a cube=100 square inches

There are 6 square surfaces on a cube.

6a^2=surface area of a cube

6a^2=100

Divide both sides by 6

a^2=100/6

a^2=16.6667

Find the square root of both sides

√a^2=√16.6667

a=√16.6667

x=4.0825 inches

Length of an edge=4.0825 inches

Answer:

2√5

Step-by-step explanation:

I got it correct on founders edtell

Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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The probability that it will take less than 63 minutes to complete the test is 0.1016, which corresponds to option c) in your list.

To solve this problem, we first need to standardize the value of 63 minutes using the formula:

z = (x - μ) / σ

where:
x = 63 (the given value)
μ = 77 (the mean)
σ = 11 (the standard deviation)

Plugging in these values, we get:

z = (63 - 77) / 11
z = -1.27

Next, we use a standard normal distribution table (or a calculator) to find the probability that a standard normal variable is less than -1.27. The table gives us a probability of approximately 0.1016.

However, we are not dealing with a standard normal distribution, but rather a normal distribution with a specific mean and standard deviation. To account for this, we need to use the following formula:

P(X < 63) = P(Z < -1.27) = Φ(-1.27)

where Φ is the standard normal cumulative distribution function. Using a standard normal distribution table (or a calculator), we find that Φ(-1.27) is approximately 0.1016.

Therefore, the answer is (c) 0.1016.

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Answer:

x=28

Step-by-step explanation:

-2(3x-9)+5x =-10

now we times -2 to to the inside of the parenthese

giving us

-6x+18 +5x= -10

add like terms

add -6x and 5x

-1x+18=-10

now we add like terms of the constants

minus 18 on  both sides

-1x=-28

now divide by -1

x = 28

Answer:

x = 28

Step-by-step explanation:

First, remove the parentheses by distributing -2.

-6x + 18 + 5x = 10

Next, collect the like terms.

-x + 18 = -10

Next, move the constant to the right-hand side and change its sign.

-x = -10 - 18

Next, calculate the difference

-x = -28

Lastly, change the signs on both sides of the equation.

x = 28

These are the steps to answer this equation.

We are given two plots of normal distributions A and B.

The mean of a normal distribution is located at the center of the plot.

Since the centers of both of the normal distributions A and B seems to be aligned, therefore, they both seems to have equal means.

The standard deviation basically determines the shape of the distribution.

As you can see, the normal distribution A is more spread out and thus has a larger standard deviation than normal distribution B.

Therefore, the two correct options are

• The means of A and B are equal.

• A has larger standard deviation.

Answer:

$115

Step-by-step explanation:

Amount Harry had in the account = $450

He had $565 after the deposits.

We need to find the amount deposited by Harry.

Deposited amount = final amount-initial amount

= $565 - $450

= $115

So, each deposit is $115.

Answer:$57.50

Step-by-step explanation:

2x + 450 = 565

2x + 450 - 450 = 565 - 450

2x = 115

2x/2 = 115/2

x = 57.50

The graph of the equation contains the point (-4.-4.5) which is one of many possible solutions to the equation.

From the question, we have the following parameters that can be used in our computation:

9x - 4y = -18

Set x = -4

So, we have

9(-4) - 4y = -18

Evaluate

-4y = 36 - 18

So, we have

-4y = 18

Divide

y = -4.5

This is one of many possible solutions of the equation

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Answer:

A. Alternate Interior

Step-by-step explanation:

A. Alternate interior

Step-by-step explanation:

Angles a and b are alternate interior angles,

Alternate interior angles are equal.

Also,

a = b

The quality control engineer will test the parts every 3 minutes.

To determine how often the quality control engineer tests the parts, we need to find the least common multiple (LCM) of the time it takes for the first machine to make a part and the time it takes for the second machine to make a part.
The first machine makes a part every 12 seconds, while the second machine makes a part every 45 seconds.
To find the LCM, we can list the multiples of each number and look for the smallest number that appears in both lists:
Multiples of 12: 12, 24, 36, 48, 60, 72, ...
Multiples of 45: 45, 90, 135, 180, 225, 270, ...
From the lists above, we can see that the smallest number that appears in both lists is 180.
Therefore, the quality control engineer will test the parts every 180 seconds.
To express the answer in minutes, we can convert 180 seconds to minutes:
180 seconds ÷ 60 = 3 minutes

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The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

42(4 + r) is the answer if I'm reading that correctly.

The description of the graph of function g(x) is 3 units translation up

The equations of the functions are given as

f(x) = 4x + 1

g(x) = (4x + 1) + 3

Substitute f(x) = 4x + 1 in the equation g(x) = (4x + 1) + 3

So, we have

g(x) = f(x) + 3

The above rule implies that:

The function g(x) is a translation of the function f(x)

The unit of the translation is 3 and the direction of the translation is up

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Answer:

A=30

Step-by-step explanation:

Answer:

the answer is c

Answer:

8

Step-by-step explanation:

Answer: $42.65

Step-by-step explanation: multiply

$8.63 by 5

Answer:

42.65$

Hope this helps!

Step-by-step explanation:

1 box = 8.53

5 boxes = 8.53 * 5

8.53 * 5 = 42.65

Answer:

1. X=13

2. X=2

3. X=12

4. X=5

5. X=1

6. X=33

7. X= - 2

8.X= - 6

9.X=3

10.X=1

The probability that the market research will indicate high sales and sales will turn out to be high is 0.48 or 48%.

To obtain the probability that the market research will indicate high sales and sales will turn out to be high, we can use the concept of conditional probability.

Let's define the events:

A: Market research indicates high sales

B: Actual sales turn out to be high

We are provided with:

P(A) = 0.6 (probability that the market research indicates high sales)

P(B|A) = 0.8 (probability that sales turn out to be high given that the market research indicates high sales)

We need to obtain:

P(A ∩ B) (probability that the market research indicates high sales and sales turn out to be high)

The formula for calculating the probability of the intersection of two events is:

P(A ∩ B) = P(A) * P(B|A)

Substituting the values:

P(A ∩ B) = 0.6 * 0.8

         = 0.48

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Answer:

yes, put it in this perspective, for every 4 acres, 800 plant are planted

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

Kendall's shirt cost 18.20

Step-by-step explanation:

12.75+8.50=21.25

39.45-21.25=18.20

To specify the orientation of the plane of a paper, the following single line can be used: "Hold the paper such that the plane of the paper is perpendicular to the direction of the gravity.

This means that if you hold the paper and drop a plumb line, the line should be parallel to the edge of the paper. This way, anyone can hold the paper in the same or a parallel plane, thus ensuring that the orientation is consistent.An alternate line to specify the orientation of the plane of a paper is: "Hold the paper such that the plane of the paper is parallel to the surface of the earth." This means that if you hold the paper and look at it from the top, the surface of the paper should appear to be parallel to the ground. By using either of these lines, one can specify the orientation of the paper's plane.

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The eight term of the geometric sequence 125/9, 25/3,5,3,.... is 243/625.

These steps to answer:

Question above is a geometric sequence consisting of 4 terms to find the 8th term, then we can use the geometric sequence formula below

Tn= a. r^n-1

is known

a= 125/9

r=T4/T2

r=3/5

then to find T4

Tn= a. r^n-1

T8=125/9. (3/5^8-1)

T8=125/9. (3/5)^7)

T8=125/9. (2187/78125)

T8=243/625

A geometric sequence is a sequence that satisfies the quotient of a term with the preceding terms which are of course consecutive. This thing has a constant value. Not only that, geometric sequences are also known as 'measurable sequences' which are still closely related to arithmetic sequences and series.

Examples of geometric sequences are a, b, and c. Then c/b = b/a = constant, this is where the quotient of adjacent terms will be obtained and then it is said to be the ratio of the geometric sequence which is given the symbol "r".

Another example, which is much easier to understand, is for example, if you have a sequence and a series: 2, 4, 8, 16, 32, ….. etc., then from the sequence and series it can be seen between the first and second terms and so on, have the same multiplier.

So, to find the nth term, you can easily find the ratio first. By knowing 'r', then you will easily find Tn.

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