a³+ b²-c³+d²
A=-3 b=-2 C=-1 D=4

What will the answer be

Answer:

Last option is correct, i.e. (2x/5)-7.

Answer:

I think its number 2 im not quiet sure hope this helps

Step-by-step explanation:

(A U B)C has a cardinality of 4000 - (A U B).

There are 4700 students who didn't watch the movie either the first time or the second time. So, the number of students who watched the movie either the first time or the second time would be:(A U B) = A + B - (A ∩ B)

(A U B) = 850 + 690 - (A ∩ B)

A ∩ B = Students who watched the movie twice.

The number of students who watched the movie twice would be 850 + 690 - (A U B).

A ∩ B = 850 + 690 - (A U B)

A ∩ B= 1540 - (A U B)

The number of students who watched the movie either the first time or the second time would be:

(A U B) = 850 + 690 - (A ∩ B)

(A U B)= 850 + 690 - (1540 - (A U B))

(A U B)= 2000 + (A U B)

We can now calculate the number of students who didn't watch the movie either the first time or the second time by subtracting the number of students who watched the movie either the first time or the second time from the total number of students enrolled in the university during orientation week.

(A U B)C = Total number of students - (A U B)

(A U B)C= 6000 - (2000 + (A U B))

(A U B)C= 4000 - (A U B)

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The given scenario involves cooling a liquid mixture from 90°C to 7°C using a heat exchanger, with heat loss to the surroundings and the coolant.

In the flow diagram, the liquid mixture (20 wt% acid, 80 wt% water) flows through the shell side of the heat exchanger, while the refrigerant fluid (cooling medium) flows through the tube side. The liquid mixture enters at 90°C and exits at 7°C, while the cooling medium enters at 2°C and exits at 50°C. The heat exchanger is not insulated, resulting in heat loss through the walls.

To calculate the amount of heat loss from the acid solution to the surroundings, the heat gained by the cooling medium can be determined using the specific enthalpy values at the respective temperatures. The heat loss is equal to the heat gained by the cooling medium.

If the process can only be cooled down to 15°C instead of 7°C, the heat capacity of the acid will remain the same. The heat capacity represents the amount of heat required to raise the temperature of the acid by 1°C. Therefore, if the cooling process is limited to 15°C, the acid will not experience any change in its heat capacity.

By considering these factors, an economic evaluation can be conducted to assess the impact of heat loss on the overall process efficiency and cost.

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In the united states, 32 percentage of the population age twenty-five and older has a four-year college or university degree.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. In order to make calculations simpler, we employ percentages. Working with parts of 100 is much easier than working with thirds, twelfths, and other fractions, especially since many fractions lack an exact (non-recurring) decimal equivalent.

Given,

In the united states, 32 percentage of the population age twenty-five and older has a four-year college or university degree.

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Answer:

\(\frac{320}{3}\pi\)

Step-by-step explanation:

The cup is a cone.

Volume of a Cone = \(\pi r^2 *\frac{h}{3}\)

r = 4

h = 20

\(16\pi *\frac{20}{3}=\frac{320}{3}\)\(\pi\)

Answer:

72mm

Step-by-step explanation:

it is 72mm because there are 6 cubes and they each are 12mm so you do 6*12 witch is 72

Answer:

A.

Step-by-step explanation:

Answer:

a.12

Step-by-step explanation:

4.8x2.5=12

Answer:

B

Step-by-step explanation:

A: Also could be written as 0-5: its a division.

B: Also could be written as -1(5+5). The final answer is -10 and its an addition of 5 and 5.

C: Its a multiplication

D: Similar to B, it could be written as 5-5=0. Its a division of 5 and 5.

Hope this helps! If you still have a question feel free to ask it in the comment section below!

Cheers!

It will take 12 seconds until Hudson and Knox have run the same number of feet.

Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).

The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.

Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.

To find the time when both runners have covered the same distance, we set their distances equal to each other:

8.8t = 6.3t + 30

Simplifying the equation:

2.5t = 30

Dividing both sides by 2.5:

t = 30 / 2.5

t = 12

Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.

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Answer:

3

Step-by-step explanation:

A function cannot have two y values for any value of x

answer three has two y values for x =1

The equation which represents the function is y=-1/3x

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find equation of line passing through points (-9, 3) and (-12, 4)

slope = 4-3/-12+9

=1/-3

=-1/3

Now let us find y intercept

3= -1/3(-9)+b

3=3+b

b=0

Hence, the equation which represents the function is y=-1/3x

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Answer:

25

Step-by-step explanation:

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

To find the mean value of the activity time, we can use the three estimates provided: optimistic, most likely, and pessimistic time.

1. The optimistic time is the shortest possible time for completing the activity, which is 11 units.
2. The most likely time is the time that is most likely to be taken to complete the activity, which is 21 units.
3. The pessimistic time is the longest possible time for completing the activity, which is 35 units.

To calculate the mean value, we can use the following formula:
Mean value = (optimistic + 4 * most likely + pessimistic) / 6

Substituting the given values, we get:
Mean value = (11 + 4 * 21 + 35) / 6

Calculating the numerator first:
11 + 4 * 21 + 35 = 11 + 84 + 35 = 130

Now, we can calculate the mean value:
Mean value = 130 / 6

Dividing 130 by 6, we get:
Mean value = 21.67 (rounded to two decimal places)

Therefore, the mean value of the activity time is 21.67.

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

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The Kakapo is 27 inches tall.

Let the length of the kakapo be x.

length of emu is given by = 43 inches.

Given that, an emu that measures 43 inches in height is 65 inches less than 4 times the height of a kakapo.

In mathematical equation form the relation will be look like,

Length of emu = 4 (Length of Kakapo) - 65

43 = 4 x - 65

4x = 43 + 65, adding 65 to both sides

4x = 108

x = 108/4, on dividing both sides by 4

x = 27

Hence the kakapo is 27 inches tall.

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The points that would form a square are (2, 2), (2, -2), (-2, 2), (-2, -2)

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

Forming a square

As a general rule

A square has equal sides and the angles at the vertices are 90 degrees

Since it must make a point with origin at its center, then the center must be (0, 0)

So, we have the following points (2, 2), (2, -2), (-2, 2), (-2, -2)

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The quadratic function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).

In this question we have a graph of a quadratic equation translated to another place of a Cartesian plane, whose form coincides with the vertex form of the equation of the parabola, whose form is:

g(x) = C · (x - h)² - k     (1)

Where:

By direct comparison we notice that (h, k) = (5, 1) and C = 1. Now we proceed to check if the points (x, y) = (2, 10) and (x, y) = (8, 10) belong to the parabola.

x = 2

g(2) = (2 - 5)² + 1

g(2) = 10

x = 8

g(8) = (8 - 5)² + 1

g(8) = 10

The quadratic function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).

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Answer: B

Step-by-step explanation:

looked at the points from the dude above, or below, anyway i hope this helps

Answer:

D, because it just has 4 times more squares

Answer:

it means there are five books left, and the 36 boxes are filled

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Endocrine glands secrete powerful chemical substances that are carried throughout the body by the bloodstream. The chemical substances secreted by the endocrine glands are hormones.

What does hormones do to your body?

They regulate many of the body's activities, including growth, development, and reproduction. The endocrine system includes several glands, including the pituitary gland, thyroid gland, parathyroid glands, adrenal glands, pancreas, and reproductive glands. Each of these glands produces hormones that regulate specific functions in the body.

Hormones are chemical messengers that control the activities of cells and organs throughout the body. Hormones are secreted into the bloodstream, where they travel to target organs and tissues to initiate specific actions. The endocrine system regulates many of the body's physiological processes, including metabolism, growth and development, reproduction, and stress response.

The endocrine system is responsible for maintaining homeostasis, which is the balance of the body's internal environment. Hormones help the body respond to changes in the environment, such as changes in temperature or stress.

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5 more than a number is greater or equal to 27

The "number" can be represented as x.

\(\boxed{x+5\geq 27}\)

The functions f and g that could accurately represent the given composite function (fg)(x) = h(x), where h(x) = √(6x + 4) is :

(E) None of these.

We can test each option by computing (fg)(x) and verifying if it matches the given h(x).

(A) f(x) = 6x + 4 and g(x) = √x:

(fg)(x) = (6x + 4) √x ≠ √(6x + 4) ≠ h(x)

(B) f(x) = √(6x + 4) and g(x) = x:

(fg)(x) = √(6x + 4) * x ≠ √(6x + 4) ≠ h(x)

(C) f(x) = x and g(x) = √(6x + 4):

(fg)(x) = x √(6x + 4) = √(x^2(6x + 4)) ≠ √(6x + 4) ≠ h(x)

(D) f(x) = √x and g(x) = 6x + 4:

(fg)(x) = √x * (6x + 4) = √(x(6x + 4)) = √(6x^2 + 4x) ≠ √(6x + 4) ≠ h(x)

None of the options (A), (B), (C), or (D) accurately represent the functions f and g for the given composite function (fg)(x) = h(x) = √(6x + 4).

Therefore, (E) none of the provided options accurately represent f and g.

The correct question is :

If (fg)(x) = h(x) such that h of x is equal to the square root of the quantity 6 times x plus 4 end quantity which of the following could accurately represent f and g?

(A) f(x) = 6x + 4 and g(x) = √x

(B) f(x) = √(6x + 4) and g(x) = x

(C) f(x) = x and g(x) = √(6x + 4)

(D) f(x) = √x and g(x) = 6x + 4

(E) None of these.

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In mathematics, the operation in question is function composition. For example, with h(x) = x^2 + 2, f(x) could be x^2 and g(x) could be x + 2, since substituting g(x) into f gives you the original function h(x).

In function composition, specifically (fg)(x), you are applying function g to x, and then applying function f to the result. A simple example could be where h(x) = x^2 + 2.

An option for function f could be f(x) = x^2 and for function g could be g(x) = x + 2. This is because if you substitute g(x) into function f, f(g(x)) = (x + 2)^2, you get the original function h(x). Thus, the functions f and g meet the condition (fg)(x) = h(x).

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The -1 part is not inside the natural log.

==============================================

Work Shown:

1 + 2*e^(x+1) = 9

2*e^(x+1) = 9-1

2*e^(x+1) = 8

e^(x+1) = 8/2

e^(x+1) = 4

x+1 = Ln(4)

x = Ln(4) - 1

To find Rachel's unit rate, we divide the distance she travelled by the time she took:

Rachel's unit rate = 45 miles / 4.5 hours = 10 miles per hour

Eleanor's speed was given as 10.5 miles per hour.

Comparing the two speeds, we see that Eleanor was riding faster with a speed of 10.5 miles per hour compared to Rachel's speed of 10 miles per hour.

Therefore, the correct answer is D. 10.2 miles per hour, Eleanor was faster.

Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.

initial height = 5

final height =20

height to travel =20-5 =15

\(15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0\)

solving we get, t = 0.255 or -2.44

since, -2.44 is not possible,

t = 0.255 seconds.

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The number of pages that are in the book is 1 31/45 pages.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, Tyler reads 2/15 pages on Monday 1/3 on Tuesday and 2/9 on Wednesday and 3/4 on thursday .and has 14 pages left on friday how many pages are in the book.

The fraction for pages will be:

= 2/15 + 2/9 + 1/3 + 3/4 + 1/4

= 2/15 + 5/9 + 1

= 6 / 45 + 25/45 + 1.

= 1 31/45

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Complete question

tyler reades 2/15 pages on monday 1/3 on tuesday and 2/9 on wendsday and 3/4 on thursday .and has 1/4 pages left on friday how many pages are in the book

Answer:

The account balance after 24 months will be $23,092.70

Step-by-step explanation:

Given data

P= $20,000

r= 7.77%= 0.077

t= 2 years

A= ?

n= 24

The compound interest formula is

\(A= P(1+t)^t\)

Inserting our values to solve for A we have

\(A= 20000(1+\frac{0.077}{24} )^2^*^2^4\\\\A= 20000(1+0.003 )^2^*^2^4\\\\A= 20000(1.003 )^2^*^2^4\\\A= 20000(1.003 )^4^8\\\A= 20000*1.15463517818\\\A= 23092.7035636\\\A= 23,092.70\)

By using the vertex of the quadratic equation, we will get the equation:

y = -2*(x + 6)^2

For a quadratic equation with a leading coefficient "A" and a vertex (h, k), the equation can be written as:

y = A*(x - h)^2 + k

Here we can see that the vertex is (-6, 0), so we have:

y = A*(x + 6)^2

We also can see that the parabola passes through the point (-4, -8), replacing these values above we will get:

-8 = A*(-4 + 6)^2

-8 = A*(2)^2

-8 = 4A

-8/4 = A

-2 = A

Then the quadratic equation is:

y = -2*(x + 6)^2

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