b) Write down the output y in terms of x.
Input
X
+4
+3
Output
y
6

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

Answer:

\(2. \: x > 0 \\ 3. \: - 1 \leqslant x < 3 \\ 4. \: 0 > x > 2\)

To solve this problem, we need to calculate the volume of water in Container A, the volume of Container B, and subtract the volume of water from Container B from the volume of Container A.

The volume of water in Container A can be found using the formula for the volume of a cylinder:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

For Container A, we have:

V(A) = π(6^2)(15)

V(A) = 1,620π

The volume of Container B can be found using the same formula:

V(B) = π(7^2)(8)

V(B) = 1,232π

After pumping the water from Container A into Container B, Container B is completely full, which means its volume is equal to the volume of the water from Container A.

So, the volume of water in Container A is:

V(water) = V(B)

V(water) = 1,232π

To find the volume of the empty space inside Container A, we need to subtract the volume of water in Container A from the total volume of Container A:

V(empty space) = V(A) - V(water)

V(empty space) = 1,620π - 1,232π

V(empty space) = 388π

V(empty space) ≈ 1,219.8 cubic feet

Therefore, the volume of the empty space inside Container A is approximately 1,219.8 cubic feet (rounded to the nearest tenth of a cubic foot).

Hope you understood it...

The answers to each part is mentioned above.

Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

Equation for tank {1} -

y = 175 - 25x

Equation for tank {2} -

y = 200 - 30x

For the solution we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5

and

y = 200 - 150

y = 50

For the same amount of water we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5 hours

In tank (1), there is : 175 - 25 x 5 = 50 gallons

In tank (2), there is : 200 - 30 x 5 = 50 gallons

Therefore, the answers to each part is mentioned above.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

Answer:

y=15/16x+19/8

Step-by-step explanation:

Hi there!

We are given the points (6,8) and (-10, -7) and we need to find the equation of the line

There are 3 ways to write the equation of the line, but the most common format is slope-intercept form, or y=mx+b form, where m is the slope and b is the y intercept

First, we need to find the slope

The formula for the slope calculated from two points is (y2-y1)/(x2-x1), where (x1, y1) and (x2,y2) are points

Our (x1,y1), and (x2,y2) are (6,8) and (-10, -7)

we can label their values to avoid confusion:

x1=6

y1=8

x2=-10

y2=-7

substitute into the formula

m=(-7-8)/(-10-6)

m=15/16

so the slope is 15/16

here's our equation so far:

y=15/16x+b

we need to solve for b

Because the line will pass through (6,8) and (-10,-7), we can substitute either one of them into the equation to solve for b

Let's take (6,8) as an example

Substitute x as 6 and y as 8

8=15/16(6)+b

Multiply

8=45/8+b

subtract

19/8=b

therefore, the equation of the line is:

y=15/16x+19/8

Hope this helps! :)

The x-coordinate of the endpoint of the line segment is 2.

The y-coordinate of the endpoint is -6.

To find the x-coordinate of the endpoint of the line segment, we can use the midpoint formula.

Given that one endpoint is at (10, 12) and the midpoint is at (6, 9), we can denote the coordinates of the other endpoint as (x, y).

Using the midpoint formula, we have:

x-coordinate of the endpoint = 2 * x-coordinate of the midpoint - x-coordinate of the known endpoint

x = 2 * 6 - 10

x = 12 - 10

x = 2

To find the y-coordinate of the endpoint of the line segment, we can use the midpoint formula. We know that the midpoint of the line segment is (6, 9) and one endpoint is (10, 12).

Let the coordinates of the other endpoint be (x, y). Using the midpoint formula, we can set up the following equation:

(10 + x) / 2 = 6

Simplifying the equation, we have:

10 + x = 12

Subtracting 10 from both sides:

x = 2

Therefore, the x-coordinate of the endpoint is 2. Now, we need to find the y-coordinate. Since we know that the endpoint is (2, y), we can use the given endpoint (10, 12) to find the y-coordinate:

12 + y / 2 = 9

Subtracting 12 from both sides:

y / 2 = -3

Multiplying both sides by 2:

y = -6

For more such questions on line segment

https://brainly.com/question/24778489

#SPJ8

We want to find what we need to mix to get 10 cups of lemonade.

We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.

We know that the lemonade recipe is:

1 cup of lemon juice and 4 cups of water.

This gives us a total of:

1 cup + 4 cups =  5 cups of lemonade.

Then if we want 10 cups of lemonade, we just need to use the double of each one of the ingredients.

this is:

2*(1 cup) = 2 cups of lemon juice

2*(4 cups) = 8 cups of water.

We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.

If you want to learn more, you can read:

https://brainly.com/question/19777343

Answer:

We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.

Answer:

Answer A.

Since the graph show a straight horizontal line towards the x axis .. Theres no change or increase in the Y axis.

Therefore... Time increases... But there's no Change in the percentage raise in Pay(It remains constant).

Option A

Answer:

A. As time with the company increases, the percentage raise in pay remains constant.

Step-by-step explanation:

The true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm is; 0.2717 or 27.17%

We are given;

Sample size; n = 173

Number of people who had  a resting heart rate over 100 bpm = 47

Now, formula for true proportion is;

p' = x/n

where;

x represents the number of successes

n represents the sample size.

p′ is the sample proportion which is the point estimate for the true population proportion.

Thus;

p' = 47/173

p' = 0.2717

Read more about True Proportion at; https://brainly.com/question/5761944

#SPJ4

Answer:

h = 40 cm

Step-by-step explanation:

The volume of a sphere is given by :

\(V_s=\dfrac{4}{3}\pi r^3\)

The volume of a cone is given by :

\(V_c=\dfrac{1}{3}\pi r^2h\)

r is radius and h is height

ATQ,

A sphere and a cone both have a radius of 10 cm and they have same volume.

\(V_s=V_c\\\\\dfrac{4}{3}\pi r^3=\dfrac{1}{3}\pi r^2h\\\\4r=h\\\\h=4\times 10\\\\=40\ cm\)

So, the height of the cone is 40 cm.

Celina says true that each of the following expressions is actually a binomial expression.

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

Celina says that each of the following expressions is actually a binomial in disguise:

a.  5abc - 2a² + 6abc = 11abc - 2a²

The is a binomial expression.

b.  5x³∙2x² - 10x⁴ + 3x⁵ + 3x∙(-2) x⁴ = 7x⁵ - 10x⁴

The is a binomial expression.

c.  (t+2)² - 4t = t² + 4

The is a binomial expression.

d.  5(a - 1) - 10(a - 1) + 100(a - 1) = 95a - 95

The is a binomial expression.

e.  (2πr - πr² )r - (2πr - πr²)∙2r = -2πr² + πr³

The is a binomial expression.

Celina says true that each of the following expressions is actually a binomial expression.

More about the binomial expansion link is given below.

https://brainly.com/question/12249986

#SPJ1

The correct scientific notation for the number 0.00050210 is 5.0210 x 10^(-4).

Here's a step-by-step explanation:

1. To convert a decimal number to scientific notation, we need to move the decimal point until we have a number between 1 and 10. In this case, we need to move the decimal point 4 places to the right to get 5.0210.

2. Next, we determine the power of 10 by counting the number of places we moved the decimal point. In this case, since we moved it 4 places to the right, the power of 10 is -4.

3. Finally, we write the number in the form of "a x 10^n", where "a" is the number between 1 and 10 (5.0210 in this case), and "n" is the power of 10 (-4 in this case).

So, the correct scientific notation for 0.00050210 is 5.0210 x 10^(-4).

to know more about scientific notation here:

brainly.com/question/19625319

#SPJ11

Question- The correct scientific notation for the number 0.00050210 is: a. 5.0210 x 10° b. 5.021 x 10 c. 5.021 x 10 d. 5.0210 x 10 e. None of the choices listed are correct.

The scientific notation for 0.00050210 is 5.0210 x 10^-4. It was calculated by moving the decimal point 4 places to the right, resulting in 5.0210, and then multiplying by 10 to the power of -4.

The given number is 0.00050210. We're trying to express it in scientific notation which is a shorthand way to write numbers that are either very large or very small by representing them as the product of a number (between 1 and 10) and a power of ten.

First, let's consider the number 0.00050210. We shift the decimal point 4 places to the right until we have a number that is between 1 and 10. So, we get 5.0210. Then, we multiply by 10 to the power of minus the number of places we moved the decimal (in this case, -4) to write the scientific notation.

So, the scientific notation of 0.00050210 is 5.0210 x 10^-4.

https://brainly.com/question/2005529

#SPJ11

A normal distribution centered at 0 with a standard deviation of approximately 0.05 is most likely to be a representation of the simulated sampling distribution of the difference between the two sample proportions.

The difference in sample proportions between the two groups can be approximated by a normal distribution if the sample size is large enough. In this case, we have a sample size of 100 for each group, which is considered large enough.

The expected value of the difference in sample proportions is 0.25 - 0.22 = 0.03. The standard deviation of the difference can be calculated as follows:

Therefore, the most likely representation of the simulated sampling distribution of the difference between the two sample proportions is a normal distribution centered at 0 with a standard deviation of approximately 0.05.

To learn more about sample proportions, here

https://brainly.com/question/29912751

#SPJ1

The complete question is:

Suppose that 25 percent of women and 22 percent of men would answer yes to a particular question. In a simulation, a random sample of 100 women and a random sample of 100 men were selected, and the difference in sample proportions of those who answered yes, Pwomen menwas calculated. The process was repeated 1,000 times. Which of the following is most likely to be a representation of the simulated sampling distribution of the difference between the two sample proportions?

The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .

Here's how to solve for the average rate of return:

Total income = $382,000

Residual value = $69,000

Total cost = $695,000

Total profit = Total income + Residual value - Total cost

Total profit = $382,000 + $69,000 - $695,000

Total profit = -$244,000

The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.

Average rate of return = Total profit / Total investment x 100

Average rate of return = -$244,000 / $695,000 x 100

Average rate of return = -0.3518 x 100

Average rate of return = -35.18%

Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.

Average rate of return = Absolute value of (-35.18%)

Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.

Learn more about the "Average rate of return": https://brainly.com/question/23896994

#SPJ11

Step-by-step explanation:

F(x) = 4x^3 - 3x^2 + 5 neither

F(x) = -7x^2+1 even

y = cos (-x) even

y = csc x odd

y = sin x/cos x odd

The function for the graph of the parabola indicates;

The vertex form of the equation of a parabola is; y = a·(y - h)² + k. where;

(h, k) = The coordinates of the vertex of the parabola

The axis of symmetry is the line; x = h

The value of the a indicates if the parabola opens up or down, that is if the parabola has a minimum point or maximum.

The parabola has a maximum point if a is negative, and the parabola has a minimum point if a is positive

The function of the graph of the parabola; y = -2·(x - 1)² + 6, indicates;

The vertex, (h, k) = (1, 6)

The coefficient, a = -2, therefore, the graph has a maximum point

The correct option is; The graph has a maximum point

Learn more on the graph of a parabola here: https://brainly.com/question/29592664

#SPJ1

Answer:

1,980 would be the area and the perimeter would be 39 im pretty sure

Answer:

Answer is (f + g)(x) = 3x^2 - 4

Step-by-step explanation:

Answer:

(0,12)

Step-by-step explanation:

substitute!

7x + 2y

6,3

7(6) + 2(3) = 48

4,0

7(4) + 2(0) = 28

3,9

7(3) + 2(9) = 39

0,12

7(0) + 2(12) = 24

this is the smallest, or minimum of these points!

Answer:

16

Step-by-step explanation:

Apply PEMDAS:

Solve the exponent, multiply from left to right, and then subtract and add from left to right.

\(3-2^2+4*3+5\\\\3-4+4*3+5\\\\3-4+12+5\\\\-1+12+5\\\\11+5\\\\\boxed{16}\)

Answer: 16

Step-by-step explanation:

The important thing to remember here is the Order of Operations

The Order of Operations states that first solve Parentheses, then Exponents, then Multiplication and Division, then Addition and Subtraction.

There are no parentheses.

Exponents: 3 - 4+4*3+5

Multiplication and Division: 3 - 4 + 12 + 5

Addition and Subtraction:

-1+12+5

11+5

16

Hope it helps <3

Answer:3:9

Step-by-step explanation: in this problem, it means "pears to apples". The "to" refers to the : . You put the amount of pears (3), then the "to" (:) then the amount of apples (9) to get your answer of 3:9. You can use this to help with other problems like this :D

Answer:

0.097%

Step-by-step explanation:

Since this is a series of events probability question, in order to calculate the probability you need to first find the probability of getting each individual answer right and then multiplying those probabilities together. This will give you the probability of getting 100% on the entire test. Since the questions are multiple-choice with 4 choices and only 1 correct choice then the probability of getting one right is 1/4 or 25%. Now that we have that probability we simply need to multiply it 5 times for each individual question.

1/4 * 1/4 * 1/4 * 1/4 * 1/4 = 1/1024 or 0.0009765 or 0.097%

Therefore, Linda bought 21 yards of ribbon. Hence, Linda bought 94 yards of ribbon.

The number of yards of ribbon Linda bought, we need to calculate the difference between the initial balance on the card and the remaining balance after the purchase.

The initial balance on the card was $20. To find the amount spent on ribbon, we subtract the remaining balance ($17.06) from the initial balance. $20 - $17.06 = $2.94

Now, we need to determine how many yards of ribbon Linda could purchase with $2.94, given that the price of the ribbon is 14 cents per yard.

To find the number of yards, we divide the total amount spent ($2.94) by the price per yard (14 cents): $2.94 ÷ $0.14 = 21

Therefore, Linda bought 21 yards of ribbon.

Hence, Linda bought 94 yards of ribbon.

Learn more about yards

https://brainly.com/question/14516546

#SPJ11

1. One mean 2. One proportion 3. Proportions from dependent samples 4. Two independent means 5. Means from dependent samples 6. Proportions from dependent samples

1. You want to estimate the typical salary for women working in the nursing field.
  Answer: One mean
2. You want to estimate the proportion of nurses that quit after working for only one year.
  Answer: One proportion
3. You want to estimate the difference in the number of men and women that quit the nursing field after only one year.
  Answer: Two independent means
4. You want to estimate the difference in the salaries of men and women working in the nursing field.
  Answer: Two independent means
5. The same one hundred people were asked in 2000 and in 2006 how much they had spent on medical bills. Has there been an increase in medical cost?
  Answer: Means from dependent samples
6. The same one hundred people were asked in the year 2000 and again in the year 2006 if they trusted their local hospitals. Has there been a change in people's trust?
  Answer: Proportions from dependent samples

Learn more about mean here : https://brainly.com/question/31101410

#SPJ11

Answer:

A.

80t3

Step-by-step explanation:

80t^3

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

80t^3

The completed table represents the values of the missing entries for the given equation y = x² - 4x + 4.

To determine the values of the missing entries and complete the table, we need to substitute the given values of x into the equation y = x² - 4x + 4 and evaluate the corresponding y-values. Let's start:

For x = 0:

y = (0)² - 4(0) + 4

y = 0 - 0 + 4

y = 4

So, the ordered pair is (0, 4).

For x = 1:

y = (1)² - 4(1) + 4

y = 1 - 4 + 4

y = 1

So, the ordered pair is (1, 1).

For x = 2:

y = (2)² - 4(2) + 4

y = 4 - 8 + 4

y = 0

So, the ordered pair is (2, 0).

For x = 3:

y = (3)² - 4(3) + 4

y = 9 - 12 + 4

y = 1

So, the ordered pair is (3, 1).

For x = 4:

y = (4)² - 4(4) + 4

y = 16 - 16 + 4

y = 4

So, the ordered pair is (4, 4).

Completing the table:

x y

0 4

1 1

2 0

3 1

4 4

Therefore, the completed table represents the values of the missing entries for the given equation y = x² - 4x + 4.

Visit here to learn more about  equation:

brainly.com/question/10413253

#SPJ11

Answer:

5 hours

Step-by-step explanation:

(450-200)÷50=5

The correct answer is option D, i.e., 1, 2, and 3.

Project stakeholders are people or entities who have an interest in a project's outcome, either directly or indirectly. In general, project stakeholders are classified into three categories, which are internal, external, and marginal stakeholders.

The following are the various kinds of project stakeholders:

Users, such as the ultimate beneficiary of the project's outcome

Partners, such as in joint venture projects

Potential suppliers or contractors

Members of the project team and their unions

Interested groups in society

So, the correct answer is option D, i.e., 1, 2, and 3.

To know more about outcome visit

https://brainly.com/question/2561133

#SPJ11