Rebecca's boss pays her time and a half for overtime work at the comic book store. If her regular wage is $8.50, what is Rebecca paid for overtime work?​

Step-by-step explanation:

f (x)= x-7

= -1-7

= -6

g (x)= x^2

= (-1)^2

=1

The numbers given as 0.868668666866668666668... and 0.868668666866668666668... are  irrational numbers

From the question, the numbers are given as

0.868668666866668666668... and 0.868668666866668666668...

As a general rule.

Numbers that end in three dots are irrational numbers

The above is true because

When numbers cannot be represented as a fraction of integers, then such numbers are irrational numbers

Hence, the numbers are irrational numbers

Read more about irrational numbers at

https://brainly.com/question/20400557

#SPJ1

Both the given values 0.868668666866668666668.. and 0.868668666866668666668... are irrational numbers.

An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.

Here,
Both numbers are irrational numbers, because

Thus, Both the given values 0.868668666866668666668.. and 0.868668666866668666668... are irrational numbers.

Learn more about irrational numbers here:

https://brainly.com/question/4031928

#SPJ1

Answer:

answer to the question is $600

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Answer: the possible answer to your problem could be 32 square feet'

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

Learn more about Profitability index

https://brainly.com/question/30641835

#SPJ11

Answer:

A

Step-by-step explanation: took test

In table, the rows represent whether or not a student signed up for swimming, and the columns represent whether or not a student signed up for canoeing.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To create a two-way table summarizing the data, we need to list the categories we are interested in and then fill in the counts for each combination of categories.

In this case, we are interested in the categories of swimming and canoeing, and we want to know how many students signed up for each combination of the two activities.

                       Canoeing            No Canoeing

Swimming          28                           43

Not swimming    34                           45

Hence,  the rows represent whether or not a student signed up for swimming, and the columns represent whether or not a student signed up for canoeing.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ2

Answer:

1 1/20

Step-by-step explanation:

Answer:

1 1/20

Step-by-step explanation:

Convert any mixed number to fractions:

21/8 ÷ 5/2

Applying the fractions formula for division

=21×2

--------

8×5

Simplifying 42/40 the answer is =1 1/20

The maximum value is; +√21 and the minimum value is; -√21

Function is a type of relation, or rule, that maps one input to specific single output.

We are given that

f(x,y,z) = x² + y² + z²

g(x,y,z) = x⁴ + y⁴ + z⁴ - 7 = 0

Using Lagrange multipliers as follows;

df/dx = λg/dx,

df/dy = λg/dy.

df/dz = λg/dz

Thus, df/dx = 2x, df/dy = 2y, df/dz = 2z

dg/dx = 4x³,  dg/dy = 4y³, dg/dz = 4z³

So, df/dx = λg/dx

2x = 4λx³     (1)

df/dy = λg/dy

2y = 4λy³           (2)

df/dz = λg/dz

2z = 4λz³           (3)

From (1) 4λx³ - 2x = 0

2λx³ - x = 0

x(2λx² - 1) = 0

Now solving; x = 0 or (2λx² - 1) = 0

2λx² = 1

x = ±1/√(2λ)

since x ≠ 0

From (2) 4λy³ - 2y = 0

2λy³ - y = 0

y(2λy² - 1) = 0

Now solving, y = 0 or (2λy² - 1) = 0

2λy² = 1

y = ±1/√(2λ) since y ≠ 0

From (3) 4λz³ - 2z = 0

2λz³ - z = 0

z(2λz² - 1) = 0

now solving, z = 0 or (2λz² - 1) = 0

2λz² = 1

z = ±1/√(2λ) since z ≠ 0

Then we have g(x,y,z) = x⁴ + y⁴ + z⁴ - 7 = 0

(1/√(2λ))⁴ + (1/√(2λ))⁴ + (1/√(2λ))⁴ - 7 = 0

3 (1/√(2λ))⁴ = 7

(1/√(2λ))⁴ = 7/3

1/√(2λ) = ⁴√7/3

√(2λ) = ⁴√3/7

2λ = √3/7

λ = 1/2(√3/7)

Since we know that x = 1/√(2λ) = 1/√(2 [1/2(√3/7)]) = 1/⁴√3/7 = ±⁴√7/3

Also, y = 1/√(2λ) = 1/√(2 [1/2(√3/7)]) = 1/⁴√3/7 = ±⁴√7/3

and, z = 1/√(2λ) = 1/√(2 [1/2(√3/7)]) = 1/⁴√3/7 = ±⁴√7/3

Now Substituting x,y and z into f(x,y,z) we have;

f(x,y,z) = (⁴√7/3)² + (⁴√7/3)² + (⁴√7/3)² = 3(⁴√7/3)² = 3(√7/3) = √(7 × 3) = ±√21

Hence, the maximum value is +√21 and the minimum value is -√21

Learn more about function here:

https://brainly.com/question/2253924

#SPJ1

Answer: so if 45,000 is 45 % then it would be 10,000

Step-by-step explanation:

The equation that relates the total number of visits to the number of days the promotion has been running is v = 96 × \(2^{\frac{d}{5} }\) .

When an equal sign connects two expressions then, it is called an equation.

According to the question, the total number of visits doubled after every 5 days.

So, after 5 days visits= 96×2

After 10 days visits= 96×2×2

After 15 days visists= 96×2×2×2

Therefore, it is a proportional sequence.

Hence, the equation that relates the total number of visits, v, to the number of days the promotion has been running, d comes out to be:

v = 96 × \(2^{\tfrac{d}{5} }\)

Learn more about proportional equations here:

https://brainly.com/question/29864115

#SPJ1

Given:

The given coordinate is (1,2).

The obective is to find the image of (1,2) after a reflection about x=3 followed by x=7.

Consider the coordinate as (x1, y1) = (1,2).

The distance between the given coordinate and the line x= 3 can be calculated as,

After the reflection, the coordinate will shift to d more the x = 3.

So the coordinate (x2, y2) can be calculated as,

Thus, the coordinate will be (x2, y2) = (5, 2).

Now, the distance between the coordinate (x2, y2) and x-7 can be calculated as,

After the reflection, the coordinate will shift to d more than x = 7.

So the coordinate (x3, y3) can be calculated as,

Hence, the image of (1,2) after reflection ove x = 3 and x= 7 will be (9,2).

Answer: There were 115 cats at the pet store.

Step-by-step explanation:

Hi, to answer this question we have to use proportions:

Since the number of cats to dogs at the pet store was 5 to 8.

The proportion is cats / dogs = 5/8

For 184 dogs = x / 184

Where x is the number of cats:

5/8 = x/184

Solving for x:

5/8 (184) =x

115 =x

There were 115 cats at the pet store.

Feel free to ask for more if needed or if you did not understand something.

The main difference is interest charged for a payday loan is typically over a short period, whereas  credit card represents the annualized interest rate over a year.

The payday loan interest is a one-time charge, while the credit card APR accumulates over time if the balance is not paid in full.

For a payday loan, the 30% interest is typically charged over a short period, often within a few weeks.

This means that if you borrow $100, you would need to repay $130, including the $30 interest, within that short timeframe.

On the other hand, a 30% APR on a credit card represents the annualized interest rate charged on the outstanding balance. This interest is spread out over a year.

If you have an outstanding balance of $100 on a credit card with a 30% APR, the interest charged over a year would be $30.

In summary, the main difference is that the 30% interest charged for a payday loan is typically applied over a short period, whereas the 30% APR on a credit card represents the annualized interest rate over a year.

Learn more about APR here:

https://brainly.com/question/14184570

#SPJ1

Answer:

True

Step-by-step explanation:

That graph below is a parabola that can be a function for example f(x)=x^2+3x-12 is a graph of a parabola

Hope that helps :)

Answer:4.62x10^13

Step-by-step explanation:

The probability that student A or B can solve a problem chosen at random is 0.95.

Probability is calculated by dividing the number of favourable outcomes by the number of possible outcomes.

Random: An event is referred to as random when it is not possible to predict it with certainty. The probability that either student A or B will be able to solve a problem chosen at random can be calculated as follows:

P(A or B) = P(A) + P(B) - P(A and B) where: P(A) = probability of A solving a problem = 0.75, P(B) = probability of B solving a problem = 0.7, P(A and B) = probability of both A and B solving a problem. Since A and B are independent, the probability of both solving the problem is:

P(A and B) = P(A) x P(B) = 0.75 x 0.7 = 0.525

Now, using the above formula: P(A or B) = P(A) + P(B) - P(A and B) = 0.75 + 0.7 - 0.525 = 0.925

Therefore, the probability that student A or B can solve a problem chosen at random is 0.95 (or 95%).

To learn more about "Probability": brainly.com/question/31120123

#SPJ11

Answer:

2 63/100

Step-by-step explanation:

There is the whole number 2 in 2.63 (shown on left side) while .63 represents 63/100.

Answer:

\(2\frac{63}{100}\)

Step-by-step explanation:

Covert a decimal to a fraction by placing the decimal number over a power of ten. In this case, since there are 2 numbers to the right, place the decimal number over 100 or 10^2. Finally, add the whole number to the left of the decimal.

Answer:

88°?

Step-by-step explanation:

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we need to find the score that corresponds to the top 6% of scores.

First, we need to find the z-score that corresponds to the top 6%. We can use the standard normal distribution table or calculator to find this.

Using the calculator, we can input:

normalcdf(0.94,9999)

This gives us the area under the curve to the right of z=0.94, which is the z-score that corresponds to the top 6%.

We get: 0.1664

This means that the top 6% of scores correspond to z-scores greater than 0.94.

Now we can use the z-score formula:

z = (x - μ) / σ

where x is the score we want to find, μ is the mean (489), and σ is the standard deviation (112).

Rearranging this formula, we get:

x = z * σ + μ

Substituting in the values we have:

x = 0.94 * 112 + 489

x = 605.08

Rounding this to the nearest whole number, we get:

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we will use the given information about the SAT writing scores being normally distributed with a mean (µ) of 489 and a standard deviation (σ) of 112. We need to find the score that corresponds to the top 6%.

Step 1: Convert the percentage to a decimal. Top 6% = 0.06.

Step 2: Find the Z-score that corresponds to the top 6%. This means we want to find the Z-score that has 1 - 0.06 = 0.94 area to the left. Using a Z-table, you can find that the Z-score is approximately 1.555.

Step 3: Use the Z-score formula to find the minimum score (X):

Z = (X - µ) / σ

1.555 = (X - 489) / 112

Step 4: Solve for X:

1.555 * 112 = X - 489

174.16 = X - 489

X = 663.16

Round to the nearest whole number: X = 663.

So, the minimum score required for the scholarship is 663.

Learn more about z-score at: brainly.com/question/15016913

#SPJ11

Answer:

C) Mrs. Benjamin

C) 9 mrs. Benjamin

Your answer would be D

Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..

What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i

This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.

To know more about amplifier visit:

https://brainly.com/question/32812082

#SPJ11

We are asked to find the values needed for the length CB

The coordinates of points C and B are given as

C(-a, -5b)

Recall that the distance formula is given by

For the given case,

Let us substitute these coordinates into the above distance formula

Therefore, the required values are

Answer:

My hero academia

Step-by-step explanation:

Black butler,attack on titan

Answer:

Pokemon

Step-by-step explanation:

Give the other guy the brainliest he deserved it.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: -178.1

Step-by-step explanation:

-71.24 ÷ 0.4

You have to use the rules for division, meaning that when you are DIVIDING a negative and a positive, it stays a negative. (-) ÷ (+) = (-)

-(71.24 ÷ 0.4)

Then just divide the numbers

Which gives you your answer: -178.1

Answer:

  (a)  -178.1

Step-by-step explanation:

You want the quotient of -71.24 and 0.4.

There is one minus sign (an odd number) in this quotient, so the result will be negative.

Dividing by 0.4 = 2/5 is the same as multiplying by the reciprocal of that: 5/2. That is, the result will be somewhat more than double the value -70. It will not be 17 or 1700. The correct choice of magnitude is 178.1.

When the sign is added to the magnitude, the result is -178.1.

<95141404393>

Answer:

Step-by-step explanation:

The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units.  The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units.  If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).

The next thing to do is to calculate the length of the hypotenuse of this triangle.  Using the Pythagorean Theorem, we get:

d = √(7² + 7²) = 7√2 ft.

The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd

and ...

The area of the triangular shape is A = (1/2)(base)(height), which here is

A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2

According to the given information in the question, by observing the frequency of occurrence there are more philosophers than mathematicians.

The frequency of a particular data is the frequency with which the data value occurs. Denote the frequency of the data values ​​by f.

For example, if 5 students got an A in science, the grade A has a count of 5. 

It gives researchers an easy overview of the entire data. Indicates whether the observations are high or low and whether they are concentrated in one region of her or dispersed across the scale. 

Frequency is a number that indicates how often a particular item appears in a particular data set. There are two types of frequency tables: clustered frequency distributions and unclustered frequency distributions. You can display your data using charts such as histograms, bar charts, frequency polygons, etc. 

To learn more about frequency visit the link below,

https://brainly.com/question/5102661

#SPJ4

The probability of choosing the winning numbers in the Maryland Lotto game is 1 in 13,983,816.

To win the grand prize in the Maryland Lotto game, the contestant must correctly match all six distinct numbers randomly drawn from a pool of 49 numbers.

The probability of choosing the first winning number correctly is 1/49, the second number is 1/48, the third number is 1/47, the fourth number is 1/46, the fifth number is 1/45, and the sixth number is 1/44.

To calculate the probability of choosing all six numbers correctly, we multiply the probabilities of each individual event:

1/49 * 1/48 * 1/47 * 1/46 * 1/45 * 1/44 = 1/13,983,816

Therefore, the probability of choosing the winning numbers in the Maryland Lotto game is 1 in 13,983,816, which is a very low probability. It means that on average, a person would have to buy millions of tickets to have a chance of winning the grand prize.

To know more about probability, refer here:

https://brainly.com/question/30034780#

#SPJ11

Answer:

24 cm

Step-by-step explanation:

We can set up a ratio of 18 m / x cm = 3 m / 4 cm because we know that it's a scale.

Cross multiplying, we get 3x = 72. Divide both sides by 3 and we have x = 24 cm.

We can also consider it by just dividing 18 m by 3 m to find the scale factor, which is 6. We then multiply the 4 cm by 6 to get 24 cm as well.