The cost of 2 pounds of coffee is $17.95. To the nearest dollar, what is the cost of 5 pounds of coffee?

Answers

Answer 1

Answer:

89.75

Step-by-step explanation:

Sorry if its wrong!


Related Questions

Find the midpoint of AB when A=(1,-2) B=(1,-1)

Find the midpoint of AB when A=(1,-2) B=(1,-1)

Answers

Answer:

Midpoint Of AB = ( 1+1/2 , -2-1/2)

= (2/2 , -3/2)

= ( 1 , -1.5)

Hope this helps

Please mark Branliest.

Answer:

-2,0

Step-by-step explanation:

The employee who created the chart made an error when computing the number of pounds of meat for one of the serving sizes .for which serving size is the ratio of size to pounds of meat different from the other ratios? A. 20 b.50 c.80 d.120
I NEED A ANSWER ASAP !!!!!!!!!!

Answers

Answer: b. 50

Step-by-step explanation:

Hence the employee made an error for 50 serving size.

Answer:

Hello there hope you are having a wonderful day. your answer would most likely be B. which is 50

Step-by-step explanation:

I took the test and got a 100%

Happy to help :)

A​ salesperson's commission rate is 5 ​%. What is the commission from the sale of 32,000 worth of​ furnaces? Use pencil and paper. Suppose sales would double. What would be true about the​ commission? Explain without using any calculations. The commission is ​$ .

Answers

Answer: Answer:

Its sad that you have to uses this app to get the right answers.

Have you ever stopped to ponder if someone is trying to scam/Catfish you?

Also I bet that you haven't even tried reading this question.

I know that you can do it yourself!

If not then, Sorry to hear.

Also

The answer is:

Do it yourself, Because if you try..You'll have a better answer then I ever could. Or anyone TBH

Chip Ahoy
The number of chocolate chips in an 18-ounce bag of
Chips Ahoy! chocolate chip cookies is approximately
normally distributed with a mean 1262 chips and a
standard deviation of 118 chips according to a study
by cadets of the U.S. Air Force Academy. (Why are
they studying chocolate chip cookies?}

What percent of bags has between 1026 and 1380 chocolate chips? Write your percent without the percent sign.


What percentage of the 18-ounce bags of chips ahoy! Cookies contains fewer than 1144 chocolate chips? Write the percent without the percent sign.

What percentage of the 18-ounce bags of chips ahoy! Cookies contains more than 1498 chocolate chips? Write the percent without the percent sign.

Answers

Using the normal distribution, it is found that:

81.85% of bags has between 1026 and 1380 chocolate chips.15.87% of the bags contain fewer than 1144 chocolate chips.2.28% of bags contain more than 1498 chocolate chips.

Normal Probability Distribution

The z-score of a measure X of a variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is given by the fraction presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The z-score measures how many standard deviations the measure X is above or below the mean of the distribution, depending if the z-score is positive or negative.From the z-score table, the p-value associated with the z-score is found, and it represents the percentile of the measure X in the distribution.

The mean and the standard deviation of the number of chips are given as follows:

\(\mu = 1262, \sigma = 118\)

The proportion of bags that has between 1026 and 1380 chocolate chips is the p-value of Z when X = 1380 subtracted by the p-value of Z when X = 1026, hence:

X = 1380:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (1380 - 1262)/118

Z = 1

Z = 1 has a p-value of 0.8413.

X = 1026:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (1026 - 1262)/118

Z = -2

Z = -2 has a p-value of 0.0228.

0.8413 - 0.0228 = 0.8185.

Hence the percentage is 81.85%.

The proportion that has fewer than 1144 chips is the p-value of Z when X = 1144, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (1144 - 1262)/118

Z = -1

Z = -1 has a p-value of 0.1587.

Hence the percentage is of 15.87%.

The proportion that has more than 1498 chips is one subtracted by the p-value of Z when X = 1498, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (1498 - 1262)/118

Z = 2

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228

Hence the percentage is of 2.28%.

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A farmer planted 3,060 tomato plants in his garden. Due to a severe drought, the number of tomato plants is decreasing according to the following function.



Which expression represents the number of months, x, it will take for the number of tomato plants in his crop to reach 51?
A.


B.


C.


D.

Answers

The number of months to reach 51 can be illustrated as 3060 - 100x = 51.

What is an expression?

The expression simply refers to the mathematical statements which have at least two terms that are related by an operator and contain either numbers, variables, or both.

The farmer planted 3,060 tomato plants in his garden.

Let's assume there's a decrease of 100 monthly.

The number of months, x, it will take for the number of tomato plants in his crop to reach 51 = c

This will be:

3060 - 100x = 51.

This illustrates the equation for the number of months.

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TRUE OR FALSE ANYONE ❗️

TRUE OR FALSE ANYONE

Answers

Answer:

True

Can you answer my question please and mark this one brainliest?

If you wanna answer my question just go to my account and look at my most recent question made. thx

over a period of a week the 4 people in group C ran a total pf 27 miles while the 6 people in group D ran a total lf 39 miles. On avarage who ran more miles Group C or Group D.

Answers

Group C ran more miles than Group D

the central value of a set of data is expressed by the average of a list of data. It is defined mathematically as the ratio of the total number of data points to the number of units in the list. In terms of statistics, the term "mean" also refers to the average of a certain set of numerical data. The average of 2, 3, and 4 is, for instance, (2+3+4)/3 = 9/3 = 3. The center value of 2, 3, and 4 in this instance is 3, thus. Finding the mean value of a bunch of numbers is the definition of average.

Average = Total Values / Total Values

Group C = 27/4 = 6.75

Group D = 39 /6 = 6.5

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A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.

Answers

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

Finding the equation perpendicular to the tangent

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

The smallest slope on the curve

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

The equation of the tangent line

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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What is the answer 5+5*5-5/5

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

..........................

The highest and lowest scores on a test taken by 80 students are within 19 points of the average of the exam. The average for this exam was a 72. Set up an equation to solve for the highest and lowest scores. Show your original equation and the process used to find the highest and lowest exam score.

Answers

1. So start off by asking yourself, how will I get this answer? Absolute values!

2. So what the question is asking is for you to build and equation that shows us how to solve for the highest and lowest grades that are 19 points above and below the average of 72.

3. So your unknown is x, and for us to be able to plug in our highest and lowest scores it will always have to = 19 (that’s the rule we got from the question)

So now this is where your absolute value comes in.

4. Set it up

| x - 72 | = 19

5. Solve it

72-19=53 Minimum

72+19=91 Maximum

6. | 53 - 72 | = 19

| 91 - 72 | = 19

Which statement accurately describes the relationship between JKL and MNP?

Which statement accurately describes the relationship between JKL and MNP?

Answers

The triangles are not similar

Given data ,

Let the first triangle be ΔJKL

Let the second triangle be ΔMNP

Now , the corresponding sides are

JK / JL ≠ NM / MP

where the corresponding sides of similar triangles are not in the same ratio

And , the common angle to both the triangles is ∠J = ∠M

So , ∠J = ∠M and JK / JL ≠ NM / MP

Hence , the triangles are not similar

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Can someone help me. Can you show work. Please don’t answer anything that isn’t related, I’ll report or flagged you if u do.

Can someone help me. Can you show work. Please dont answer anything that isnt related, Ill report or

Answers

Answer:

Yes, Chris will score.

Step-by-step explanation:

To get the ball in the goal, the ball must be below 8ft (the height of the goal) when the ball passes the 25ft mark; ie, Chris will score if f(x)<8 when x=25:

f(x)=-0.05(x-16)²+11

f(25)=-0.05(25-16)²+11

=-0.05(9²)+11

=-0.05(81)+11

=11-4.05

=6.95

Since 6.95<8, we can see that Chris will score if Deshawn doesn't block the ball.

Values of f(t) are given in the following table.

t 0 2 4 6 8 10
f(t) 132 129 120 109 94 77

a. Does this function appear to have a positive or negative first derivative? Second derivative?
The function appears to have a _____ first derivative, and a ____ second derivative.
b. Estimate f'(2) and f'(8) . Use difference quotients to the right.
f'(2) = ____
f'(8) = ____

Answers

The estimated values of f'(2) and f'(8) are -4.5 and -8.5, respectively.

What is function?

In programming, a function is a self-contained block of code that performs a specific task or set of tasks. It is a reusable piece of code that can be called multiple times from different parts of a program. Functions typically take inputs, called arguments or parameters, and produce outputs, which can be returned to the calling code.

Given by the question.

a.

To determine whether the function has a positive or negative first derivative, we can examine the change in values of f(t) between adjacent values of t. Since the values of f(t) decrease as t increases, the function appears to have a negative first derivative.

To determine the second derivative, we can examine the change in the first derivative. Since the first derivative is negative, it is decreasing as t increases, suggesting a negative second derivative.

Therefore, the function appears to have a negative first derivative and a negative second derivative.

b.

To estimate f'(2) and f'(8) using difference quotients to the right, we can use the following formula:

f'(t) ≈ [f (t + h) - f(t)] / h

where h is a small positive value. To estimate f'(2), we can use h = 2:

f'(2) ≈ [f (4) - f (2)] / 2 = (120 - 129) / 2 = -4.5

To estimate f'(8), we can use h = 2:

f'(8) ≈ [f (10) - f (8)] / 2 = (77 - 94) / 2 = -8.5

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Out of 20 people how many would you expect to say that they like all seasons

Answers

Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

MARK AS BRAINLIEST!!!

a hungry statistician analyzed nutritional information from 77 food items available for purchase at a popular coffee shop (seattle's worst). the statistician produces a multiple regression model with response variable calories, and three predictors.

Answers

For given  regression model, the number 59.89 in the table tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

In this question we have been given a summary of regression model.

We need to explain the meaning of the number 59.89 in the table.

For given regression model, to view the results of the model, we can use the summary() function in R programming.

In given summary consider the 'Coefficients' table.

The first row gives the estimates of the y-intercept, and the second row gives the regression coefficient of the model.

The 'Estimate' column is the estimated effect, also called the regression coefficient or r² value.

The number 59.89 in the table is coefficient for IsSandwich.

This number tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

Therefore, the meaning of the number 59.89 in the table: for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

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The complete question is as shown in the following image

a hungry statistician analyzed nutritional information from 77 food items available for purchase at a

Using the prototype oblique triangle shown below and the information given, find the measure of the remaining sides and angles in the triangle.
find:
beta:
a:
b:

Using the prototype oblique triangle shown below and the information given, find the measure of the remaining

Answers

Using the law of sines, the remaining angles and sides of the triangle are given as follows:

\(\beta = 20^\circ\)a = 8.2.b = 6.

What is the law of sines?

Suppose we have a triangle in which:

Side with a length of a is opposite to angle A.Side with a length of b is opposite to angle B.Side with a length of c is opposite to angle C.

The lengths and the sine of the angles are related according to the equation presented as follows:

\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)

The remaining angle measure is given as follows:

\(\beta = 180 - (132 + 28) = 20^\circ\)

(this is because the sum of the internal angles of a triangle is of 20º).

Then side a is calculated from the law of sines as follows:

sin(28º)/a = sin(132º)/13

a = 13sin(28º)/sin(132º)

a = 8.2.

Side b is also calculated from the law of sines, as follows:

sin(20º)/b = sin(132º)/13

b = 13sin(20º)/sin(132º)

b = 6.

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A culture if salmonella bacteria is started with 0.01 gram and tripled in weight every 16 hours.
Write a function for the weight of the culture as a function of time.
How long will it take for the culture to weigh 0.5 gram? Round to the nearest integer.

Answers

The time taken by the bacteria to grow by 0.5 grams is 14.6 minutes.

What is an exponential function?

The mathematical expression f(x)=exp or e^x denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

Given that culture, if salmonella bacteria is started with 0.01 gram and tripled in weight every 16 hours.

The exponential equation will be written as,

\(P(t) = P_oe^{t T}\)

The time required will be,

\(P(t) = P_oe^{t T}\)

\(0.5 = 0.01e^{ 16t}\)

ln(50) = 16tx ln(e)

t = (ln50)/16

t = 0.24 hours

t = 14.6 minutes

Therefore, the time taken by the bacteria to grow by 0.5 grams is 14.6 minutes.

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Please help (easy economics question)!!!

Please help (easy economics question)!!!

Answers

The dollar value of total revenue at each price is $\(0\), $\(10\), $\(12\), $\(12\), $\(10\), and $\(6\). Total revenue will be the greatest at a price of $\(4\), with \(3\) units sold.

To find the dollar value of total revenue at each price, we can multiply the price by the corresponding quantity in the demand schedule:

Price: $\(6\)

Quantity: \(0\)

Total Revenue: $\(6 \times 0\) = $\(0\)

Price: $\(5\)

Quantity: \(2\)

Total Revenue: $\(5 \times 2\) = $\(10\)

Price: $\(4\)

Quantity: \(3\)

Total Revenue: $\(4 \times 3\) = $\(12\)

Price: $\(3\)

Quantity: \(4\)

Total Revenue: $\(3 \times 4\) = $\(12\)

Price: $\(2\)

Quantity: \(5\)

Total Revenue: $\(2 \times 5\) = $\(10\)

Price: $\(1\)

Quantity: \(6\)

Total Revenue: $\(1 \times 6\) = $\(6\)

To determine at which price the total revenue will be the greatest, we observe that the highest total revenue occurs at the price with the highest quantity sold. In this case, the price with the highest quantity is $\(3\), and the corresponding quantity sold is \(4\) units.

Therefore, at a price of $\(3\), the total revenue will be the greatest, with \(4\) units sold.

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Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Answers

Answer:

Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In which of the following functions would it be appropriate to use only positive integers for the domain? Select all that apply.

The function c(p) represents the cost for (p) people to attend the movies.

The function m(t) represents the miles driven over t hours.

The function t(m) represents the average high temperature for a given number of months.

The function p(w) represents the profit of a farmer who sells (w) whole watermelons.

The function h(n) represents the number of person-hours it takes to assemble (n) engines in a factory.

Answers

Answer:

a,d,e (first, second to last, last)

Step-by-step explanation:

To compute a student's Grade Point Average (GPA) for a term, the student's grades for each course are weighted by the number of credits for the course. Suppose a student had these grades:

3.7 in a 5 credit Math course
2.1 in a 2 credit Music course
3.0 in a 5 credit Chemistry course
3.2 in a 5 credit Journalism course

What is the student's GPA for that term? Round to two decimal places.

Student's GPA =

Answers

Answer:

It would be about 3.16

Step-by-step explanation:

what is the slope of the line that passes through the points (3,8) and (-2,13)? (write answer in simplest form)

Answers

Answer:

slope=-1

Step-by-step explanation:

Slope formula= y1-y2/x1-x2

8-13/3-(-2)=-5/5=-1

The slope of the line that passes through points (3,8) and (-2,13) is -1 / 2.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.

Given:

The coordinates of point = (3,8) and (-2,13),

Calculate the slope of the line from the formula given below,

m = (y₂ - y₁) / (x₂ - x₁)

Here m is the slope.

Substitute the values,

m = (13 - 8) / (-2 - 8)

m = - 1 / 2,

Therefore, the slope of the line that passes through points (3,8) and (-2,13) is -1 / 2.

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This year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year

Answers

Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

Graphs of a function and its inverse are shown on the same coordinate grid.



Which statements accurately compare the function and its inverse? Check all that apply.

The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.

Answers

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

How to determine the correct statements

To accurately compare a function and its inverse based on the graphs, we have to know the following;

The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.

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Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are shown below. Find mean, median, and mode. Fill in blanks.

0.26, 0.18, 0.18, 0.16 0.13, 0.24
0.29, 0.24, 0.14, 0.16, 0.10, 0.16

The mean is:________________. The median is: _____________. The mode(s) is (are): _______________

Answers

The mean is 0.19 (originally 0.18666667)
The median is 0.25
The mode is 0.16

Explanation:
You find the mean by adding all of the numbers given then divide them by the number of variables given. Ex. The sum of all those numbers is 2.24, then divide that by 12, because when you count them it’s 12 numbers. So you get a big number, and you can round it to 0.19.

You find the median by putting the numbers in order from least to greatest and taking one from left then one from right until you get to the number(s) I’m the middle with a even number of variables marked off on both sides. (Sorry bad explanation )

You find the mode by figuring out how many times numbers are repeated, and the one repeated the most is your answer. Ex. There’s 1 0.26, 2 0.18, 3 0.16, 1 1.13, 2 0.24, 1 0.29, 1 0.14, 1 0.10. There’s more 0.16’s than any of them, so your answers 0.16.

Really hope this helps and you can actually understand my explanation

What is the range of the function graphed below?

What is the range of the function graphed below?

Answers

Answer:

\(\boxed{-\infty < y\leq 2}\)

Step-by-step explanation:

See the appendix.

The set of values ​​is the interval  \(y\in (-\infty , 2 >\) .

\(y\in (-\infty , 2 > ~~\Leftrightarrow ~~\boxed{-\infty < y\leq 2}\)

What is the range of the function graphed below?

Keep getting stuck on this question don’t really understand what to do

Keep getting stuck on this question dont really understand what to do

Answers

The Solution:

Given the functions below:

\(\begin{gathered} f(x)=-4x-8 \\ \text{and} \\ g(x)=3x^2+x \end{gathered}\)

We are required to find the value of f(-1)g(2)

So,

\(f(-1)\text{ means that we should substitute -1 for x in f(x)}\)\(f(-1)=-4(-1)-8=4-8=-4\)

Similarly,

g(2) means we should substitute 2 for x in g(x).

\(g(2)=3(2)^2+2=3(4)+2=12+2=14\)

Now, we shall multiply f(-1) and g(2) together.

\(f(-1)g(2)=f(-1)\times g(2)=-4\times14=-56\)

Therefore, the correct answer is [option C]

What is the area of the shaded region?

What is the area of the shaded region?

Answers

Answer:

80 mm²

Step-by-step explanation:

Even for slanted triangles, the area is base x half height! The base is 10 mm, half the height is 8 mm, so the area is 8x10=80 mm.



If you borrow $60.00 at 10% interest, how much will you pay in one month?

Answers

Answer:

In one month we have to pay an interest of $0.5.

Step-by-step explanation:

We are given that you borrow $60.00 at 10% interest and we have to find how much we have to pay in one month.

Let the Principal sum of money = P = $60

the rate of interest = R = 10%

Time period = T = \(\frac{1}{12}\)

Assuming the interest is simple interest, so the formula for simple interest is given by;

              Amount = Principal + Simple interest

                 A = P + ( \(\frac{\text{P}\times \text{R}\times \text{T}}{100}\) )

                 A = \(60 + \frac{60 \times 10 \times 1}{100 \times 12}\)

                 A = 60 + 0.5 = $60.5

So, in one month we have to pay an interest of $0.5.

If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p
when q is equal to 5.

Answers

Answer:

p = 9 when q = 5.

Step-by-step explanation:

p is inversely proportional to the square of q

This means that:

\(p = \frac{k}{q^2}\)

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.

\(p = \frac{k}{q^2}\)

\(25 = \frac{k}{3^2}\)

\(k = 25*9 = 225\)

So

\(p = \frac{225}{q^2}\)

Determine p when q is equal to 5.

\(p = \frac{225}{q^2} = \frac{225}{5^2} = 9\)

p = 9 when q = 5.

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