Please help me !!


Nine more than eight times a number (x) is at least forty-nine

What’s the inequality & the solution to the inequality is ..

Answers

Answer 1

Answer:

x = 5.

Sorry if you didn't mean find x and I have no idea about the inequality stuff.

Step-by-step explanation:

We can do a reverse equation in steps. So the first thing we'll do is..

49 - 9 which equals 40.

Then we should do a division since the opposite of multiplication is division.

40 divided by 8 = 5.

To check that we do 5 x 8 = 40 + 9.

Hope that helps. x

Answer 2

Answer:

See below

Step-by-step explanation:

9 + 8x \(\geq\) 49

Subtract 9 from both sides

8x \(\geq\) 40

Divide by 8

x \(\geq\) 5


Related Questions

Fred sold 14 rolls of wrapping paper for a band fundraiser earning the band $17. 50. Sharon sold 16 rolls of wrapping paper and earned $20. 00 for the band. If this relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis, what is the slope of the graph in dollars per roll?.

Answers

Answer: $1.25 Per Roll

Step-by-step explanation:

(14,17.50) and (16,20)

laurague here is your answer:)

laurague here is your answer:)

Answers

Got it :)Thank you!!!!!!!

The cost of 11 identical mobile phones is 91,300rs/-. what is the cost of 1 mobile phone?

Answers

The answer is 8300.

Divide 91300 by 11 you will get the answer.

Problem-solving is the act of defining trouble; figuring out the cause of the problem; figuring out, prioritizing, and choosing alternatives for an answer; and enforcing a solution.

Problem-fixing starts with identifying the difficulty. For instance, a teacher might want to discern the way to improve student performance on a writing talent test. To do that, the trainer will assess the writing checks looking for areas of development.

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After watching the Quest Kickoff video, which examines the work of an astronomer who searches for life on planets outside our solar system, think about the qualities that make for a skilled astronomer. What scientific attitudes are important to the work of an astronomer such as the one in the video? Record your thoughts.
NOTEBOOK

Answers

A deep appreciation for the natural world and a desire to contribute to advancing scientific knowledge is essential for pursuing a career in astronomy.

Astronomers require a combination of scientific attitudes to excel in their work. To begin with, they need to be curious and passionate about exploring the unknown universe. They should also have a strong sense of patience, persistence, and attention to detail, given that astronomical observations can take a long time to produce results. A capacity for critical thinking, creativity, and problem-solving is also crucial in analyzing and interpreting data, developing theories, and testing hypotheses. Additionally, astronomers must be skilled in communication, as they often collaborate with colleagues, present their findings to the scientific community and the public, and engage in public outreach and education efforts.

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28-3(2+4)+9

With explanation

Answers

Answer:

Go through PEMDAS

Step-by-step explanation:

28-3(2+4)+92+4=628-3(6)+96+9=1528-3+1528-3=2525+15=40

Answer:

19

Step-by-step explanation:

Result:

28 - 3(2 + 4) + 9 = 19/1 = 19

Spelled result in words is nineteen.

How do you solve fractions step by step?

   Add: 2 + 4 = 6

   Multiple: 3 * the result of step No. 1 = 3 * 6 = 18

   Subtract: 28 - the result of step No. 2 = 28 - 18 = 10

   Add: the result of step No. 3 + 9 = 10 + 9 = 19

HOPE THIS HELPS!

What is the volume of the cone below?

A. 852 units

B. 3408 units

C. 10,224 units


D. 5112 units

What is the volume of the cone below?A. 852 unitsB. 3408 unitsC. 10,224 unitsD. 5112 units

Answers

Answer:

B. 3408pi

Step-by-step explanation:

formula volume of cone = 1/3 x pi x r x r x h

volume = 1/3 x pi x 12 x 12 x 71

= 3408pi

The volume of the cone is approximately 10,224 cubic units.

Option C is the correct answer.

What is a cone?

It is a shape of a christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is V = (1/3)πr²h,

We have,

The formula for the volume of a cone is V = (1/3)πr²h,

where r is the radius of the base of the cone, h is the height of the cone, and π is a constant approximately equal to 3.14.

Substituting the given values, we get:

V = (1/3)π(12²)(71)

V = (1/3)π(144)(71)

V = (1/3)(3.14)(144)(71)

V = 10,223.04

Rounding this answer to the nearest whole number, we get:

V ≈ 10,224

Therefore,

The volume of the cone is approximately 10,224 cubic units.

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Given U = { a,b,c,d,e,f,g,h,i} P = {a,e,i} and Q = { b, a, g} List the elements of P' *

1 point

{b,c,d,f,g,h}

{a,e,i}

{b,a,g}

{a,b,c,d,e,f,g,h,i}

If A = { 1,2,3} and B = {2,1,3} . A and B are said to be *

1 point

equal sets

equivalent sets

empty set

finite sets

P = { 2,4,6,8} and Q = { a,b,c,d} . Will P =Q *

1 point

True

False

T={ colours of the rainbow} This an example of *

1 point

Choose

B = set of letters in the word ENGLISH. then n(B) = *

1 point

6

7

5

8

What type of set is shown in the diagram below? *

1 point



equal

disjoint

equivalent

infinite

R = { cars that fly}. R is an _____________ set *

1 point

empty

equivalent

equal

infinite

If P={m,n,l,} determine the number of subsets that can be formed from P *

1 point

4

12

8

16

Convert 17/3 to a mixed number *

2 points

5 2/3

10/3

3 1/3

51/3

48/60 reduced to its lowest term = *

2 points

12/15

4/5

10/14

3/4

Name the angles below in the order given *

3 points



right, acute, reflex

acute, right, obtuse

reflex, straight, full

obtuse, right, acute

What is the size of the missing angle? *

2 points



90

220

140

100

What is the size of y? *

2 points



115

245

295

65

What type of triangle is shown below? *

1 point



Equilateral

Isosceles

Right angled

Scalene

Calculate the value of x *

3 points



65

245

112

133

Calculate the value of x *

3 points



112

22

158

180

What is the value of e? *

3 points



65

130

50

100

A quadrilateral with two pairs of parallel sides and all angles equal is called a _____________ *

1 point

parallelogram

rectangle

trapezium

kite

*

3 points



75

100

260

50

*

3 points



129

309

160

51

*

3 points



120

128

52

90​

Answers

Step-by-step explanation:

Given U = { a,b,c,d,e,f,g,h,i} P = {a,e,i} and Q = { b, a, g} List the elements of P' *

1 point

{b,c,d,f,g,h}

{a,e,i}

{b,a,g}

{a,b,c,d,e,f,g,h,i}

since P and Q share the same letter you're putting “A” in the middle where the two intersect. since U have B and Q have b we're putting it outside. so Q only supposed to have G. P is empty and U now have B,C,D,F,H.

p^1- p complement means everything outside of P so that will be b,c,d,f,g,h.

Can someone please answer this question.

Can someone please answer this question.

Answers

Use the Pythagorean theorem to solve for the diagonal distance

Diagonal = sqrt(50^2 + 150^2)

Diagonal distance = sqrt(25,000)

Diagonal distance = 158.11 feet

Round to 158 feet.

If the stayed on the sidewalk they would walk 50 + 150 = 200 feet.

The distance they saved = 200-158 = 42 feet

Answer: 42 feet.

Describe a pattern in the sequence of numbers. Predict the next number.

1.) 256, 64, 16, 4, ... ________.
2.) 2, 6, 18, 54, ... _______

Answers

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

In the first sequence,

let's take ratio of the next term with its preceding term, so we will get the common ratio ~

\(\qquad \sf  \dashrightarrow \: \cfrac{4}{16} = \dfrac{1}{4} \)

So, we can imply that The next term of the sequence is 1/4 times the previous term.

hence, the unknown term will be 1/4 times of previous term.

That is : 1/4 × 4 = 1

Therefore, the next term here is 1

In the second sequence,

Do the same procedure as above, we will get common ratio as :

\(\qquad \sf  \dashrightarrow \: \cfrac{18}{6} = 3\)

So, the next term is 3 times the preceding term, that is :

3 × 54 = 162

Therefore, the next term is 162

1.
pattern: divide by 4
next term: 1

2.
pattern: multiply by 3
next term: 162

The position of a particle moving along the y axis has a position given by y=0. 20+8. 0t−10t2. Is there a time interval during which the particle is not moving?

Answers

At t = 0.4, the velocity of the particle is zero. This indicates that the particle is momentarily at rest at this time.

To determine whether there is a time interval during which the particle is not moving, we need to examine the velocity of the particle. The velocity of the particle is the derivative of its position with respect to time.

The given position function is y = 0.20 + 8.0t - 10t^2.

To find the velocity function, we take the derivative of the position function with respect to time (t):

v(t) = d/dt (0.20 + 8.0t - 10t^2)

= 8.0 - 20t

The velocity function v(t) represents the rate of change of the position of the particle with respect to time. If the velocity is zero at any point in time, it means the particle is momentarily at rest.

Setting the velocity function equal to zero, we have:

8.0 - 20t = 0

Solving for t, we find:

20t = 8.0

t = 0.4

So, at t = 0.4, the velocity of the particle is zero. This indicates that the particle is momentarily at rest at this time.

Therefore, there is a time interval during which the particle is not moving, specifically at t = 0.4. Before and after this time point, the particle is in motion either upward or downward along the y-axis.

It's worth noting that we should consider the full domain of the position function (y) to determine if there are any other time intervals during which the particle is not moving. In this case, the given function does not specify any constraints on time, so the time interval t = 0.4 is the only time interval during which the particle is at rest.

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25.0% complete question two cars, x and y, started from the same point and traveled on a straight course in opposite directions for 2 hours, at which time they were 208 miles apart. if car x traveled, on average, 8 miles per hour faster than car y, what was the average speed, in miles per hour, of car x for the 2-hour trip?

Answers

The average speed, in miles per hour, of car X for the 2-hour trip is 56 mph.

The average speed, in miles per hour, of car x for the 2-hour trip is 56 mph.Let’s first identify what the given is.The problem states that car X and car Y started from the same point and traveled on a straight course in opposite directions for 2 hours, at which time they were 208 miles apart. The problem also states that car X traveled, on average, 8 miles per hour faster than car Y.So we have two cars, X and Y, that traveled in opposite directions.

In this problem, we are asked to find the average speed of car X for the 2-hour trip.Let’s use the formula that relates distance, speed, and time. For any given problem, this formula will help us determine which variable we need to solve for.distance = speed × timeSo, in this problem, we know the time and distance, but we need to find the speed.

We can use the information given in the problem to set up an equation for the two cars.Using the formula, we can set up the following equation for car X:dX = speedX × 2Using the same formula, we can set up the following equation for car Y:dY = speedY × 2Since car X traveled, on average, 8 miles per hour faster than car Y, we can write this as speedX = speedY + 8.

Now we know that the sum of the distances that car X and car Y traveled is equal to the total distance that separates them. Using this information, we can set up the following equation:dX + dY = 208To solve for the speed of car X, we need to isolate speedX in the equation that relates speedX and speedY. We can do this by substituting the equation for dX and dY in the equation that relates speedX and speedY.

This gives us the following equation:(speedY + 8) × 2 + speedY × 2 = 208Simplifying this equation, we get:4 speedY + 16 = 2084 speedY = 192speedY = 48 mphNow that we know the speed of car Y, we can use the equation for speedX and speedY to find the speed of car X. This gives us:speedX = speedY + 8 = 48 + 8 = 56 mph.

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d. The time taken to complete the UWI half marathon road race has a normal distribution with a mean of 280 minutes and a standard deviation of 45 minutes. 1. Calculate the proportion of the runners who completes the marathon in a time that is less than 240 minutes. [5] il. Suppose 12 participants of the UWI half marathon race were selected randomly, what is the probability that 8 out of the 12 complete the marathon in a time that is less than 4 hours? (6) e. Given that the time taken for a computer part to break down is described by the following probability distribution FC) = = {1 - (1 - 73.57 0, 20 elsewhere what is the probability that a computer part will last for more than 4 years? [4]

Answers

The proportion of runners who complete the UWI half marathon in less than 240 minutes is approximately 0.4013.

What is the likelihood that a runner finishes the UWI half marathon in under 4 hours?

The probability of completing the UWI half marathon in less than 4 hours can be calculated using the normal distribution with a mean of 280 minutes and a standard deviation of 45 minutes. We can convert 4 hours to minutes, which is 240 minutes. By finding the z-score for 240 minutes using the formula (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation, we get a z-score of (240 - 280) / 45 = -0.8889.

Using a standard normal distribution table or a calculator, we can find that the proportion of runners who complete the marathon in a time less than 240 minutes is approximately 0.4013. Therefore, about 40.13% of the runners finish the marathon in under 4 hours.

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Use place value in the distributive property to match each multiplication expression an equivalent expression

Answers

Answer: I HOPE IT HELPS

Results 1 - 24 of 2262 - Also included in: Properties of Multiplication Centers & Games ... match each expression to a simplified version and glue to pairs to the ... Math, Basic Operations, Place Value ... Students will match multiplication expressions with cards that show equivalent expressions using the distributive property.

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Step-by-step explanation:

Answer:This is the real answer

Step-by-step explanation:Need brainliest award

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Use place value in the distributive property to match each multiplication expression an equivalent expression

The graph of the function y=h(x) is given below A) State in correct order the transformations that must be performed to graph the function: y=2h(x+4)+3 B) Graph y=2h(x+4)+3 and label the coordinates of three points on the graph

The graph of the function y=h(x) is given below A) State in correct order the transformations that must

Answers

Transformations of Functions

We are given the graph of a function y=h(x).

A)

We must apply transformations to get the funcion:

y=2h(x + 4) + 3

The first transformation must be a translation by 4 units to the left. That will give us h(x + 4).

Secondly, we must stretch the function obtained above by a factor of 2 to get:

2h(x + 4).

Finally, we must translate the function above by 3 units up and get the required result:

y=2h(x + 4) + 3

B)

Let's call the points of the original function:

P(-2,-1) Q(0,1) R(2,-3)

Now we map those points to the transformed points by using the rules:

Translate 4 units left

Stretch by a factor of 2

Translate 3 units up

The point P has x=-2 and will map to:

y = 2(-2+4)+3 = 2(2) + 3 = 7

P'(-2,7)

The point Q has x=0 and will map to:

y = 2(0+4)+3 = 2(4) + 3 = 11

Q'(0,11)

The point R has x=2 and will map to:

y = 2(2+4)+3 = 2(6) + 3 = 15

P'(2,15)

We use the mapped points to produce the new graph as follows:

The graph of the function y=h(x) is given below A) State in correct order the transformations that must

1. Amy invested $250 in the bank and a year later has $285.72. By what percent has the amount changed?
87% increase
14% increase
13% increase
36% increase

Answers

Answer:

14%

Step-by-step explanation:

i took a test and it was right

Answer:

14%

Step-by-step explanation:

Please help me with this question thank you

Please help me with this question thank you

Answers

Answer:

∠DCB = 32

Step-by-step explanation:

∠A + ∠B = 90

∠B = 90 - ∠A = 90 - 32 = 58

∠DCB + ∠B = 90

∠DCB = 90 - ∠B = 90 - 58 - 32

The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?

Answers

Answer:

$3900.71 is the amount of money subtracted from the next model

51099.29 is the cost of the second model

Step-by-step explanation:

what is definition of accuracy?

Answers

Answer: The fact of being correct and without any mistakes:

Step-by-step explanation: Hope this helps!

What is the nith term for each sequence below. use the formula: \( a_{n}=d n+c \) 1.) \( 1,5,9,13 \) 2.) \( 13,9,5,1 \) 3. \( -7,-4,-1,2 \). 4. \( 5,3,1,-1,-3 \) \( 5,1,5,9,13 \ldots \)

Answers

The formula for the nth term for the sequences are

a(n) = 1 + 4(n - 1)a(n) = 13 - 4(n - 1)a(n) = -7 + 3(n - 1)a(n) = 5 - 2(n - 1)a(n) = 1 + 4(n - 1)How to determine the nth term for the sequence

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

1.) ( 1,5,9,13 )

2.) ( 13,9,5,1 )

3. ( -7,-4,-1,2 )

4. ( 5,3,1,-1,-3 )

5. (1,5,9,13 )

The nth term can be calculated using

a(n) = a + (n - 1) * d

Where,

a = first term and d = common difference

Using the above as a guide, we have the following:

1.) ( 1,5,9,13 )

a(n) = 1 + 4(n - 1)

2.) ( 13,9,5,1 )

a(n) = 13 - 4(n - 1)

3. ( -7,-4,-1,2 )

a(n) = -7 + 3(n - 1)

4. ( 5,3,1,-1,-3 )

a(n) = 5 - 2(n - 1)

5. (1,5,9,13 )

a(n) = 1 + 4(n - 1)

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Question

What is the nth term for each sequence below. use the formula: a(n) = dn + c.

1.) ( 1,5,9,13 )

2.) ( 13,9,5,1 )

3. ( -7,-4,-1,2 )

4. ( 5,3,1,-1,-3 )

5. (1,5,9,13 )

4.What number falls between -28 and -34 on the number line?
A.-29
B. 0
C.-25
D. -35

Answers

The answer is a -29 I know this a lot

You buy a new wheel for your bicycle. The diameter of the bicycle wheel is 22 inches. What is the radius of the bicycle wheel? What is the circumference of the bicycle wheel? What is the area of the bicycle wheel?

Answers

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Given f(x) = 70 + 11x, find x when f(x) =158

Answers

Answer:

\( \huge \boxed{x = 8}\)

Step-by-step explanation:

f(x) = 70 + 11x

To find the value of x when f(x) =158 , equate f(x) to 158

We have

\(70 + 11x = 158 \\ 11x = 158 - 70 \\ 11x = 88\)

Divide both sides by 11

\( \frac{11x}{11} = \frac{88}{11} \\ \)

We have the final answer as

x = 8

Hope this helps you

Help


-5-(-26)=


Plz help

Answers

Answer:

Step-by-step explanation:

21

Answer:

21

Step-by-step explanation:

Please Help ! File is attached

Please Help ! File is attached

Answers

Answer:

Domain: 0 </= x </= 20

Range 0 </= y </= 10

Step-by-step explanation:

Domain is the x values, so 0 to 20, and range is the y values, so 0 to 10

Spencer took $21 with him to the mall. At the music store he spent 2/3 of his money on a DVD. He spent ¼ of what he had left on a drink. How much money did Spencer have left after he bought the drink?

Answers

Answer:

$10.50

Step-by-step explanation:

2/3 of $21 = $14

1/4 of $14 = $3.50

$14 - $3.5 = $10.50

if the fed determines the amount of money in circulation, the nominal interest rate is determined by the

Answers

The nominal interest rate is determined by the interaction of various factors in the economy, including the actions and policies of the Federal Reserve (Fed). While the Fed plays a significant role in controlling the money supply, it is not the sole determinant of the nominal interest rate. Other factors such as inflation expectations, market forces, and the overall state of the economy also influence the nominal interest rate.

The Fed has the authority to control the money supply through various monetary policy tools, such as open market operations, reserve requirements, and interest rate policies. By adjusting these tools, the Fed can influence the amount of money in circulation. When the Fed increases the money supply, it generally leads to a decrease in the nominal interest rate, and vice versa.

However, the nominal interest rate is also influenced by other factors. One key factor is inflation expectations. If people expect higher inflation in the future, lenders will demand a higher nominal interest rate to compensate for the expected loss in purchasing power. Similarly, borrowers may be willing to pay a higher nominal interest rate to hedge against potential inflation.

Market forces such as supply and demand for credit, investor sentiment, and global economic conditions also affect the nominal interest rate. If there is high demand for credit or positive investor sentiment, the nominal interest rate may increase. Conversely, during periods of low demand or economic uncertainty, the nominal interest rate may decrease.

Therefore, while the Fed's actions impact the money supply, the determination of the nominal interest rate is a complex process that involves the interplay of multiple factors, including the actions of the Fed, inflation expectations, and market forces.

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The slot size limit for Fish A is from 28 to 32 inches. The minimum size limit for Fish B is 11 inches. Write the ranges of Fish A and Fish B in interval notation and in set-builder notation. Does the range for the Fish B seem reasonable? Explain.

Answers

Notations are used to specify the range of a function. The range of fish A is [28,32] while the range of fish B is [11,infinity).

Also, the range of fish B is not reasonable.

For fish A, we have:

\(Minimum = 28\)

\(Maximum = 32\)

For Fish B, we have:

\(Minimum = 11\)

For fish A, the minimum and the maximum are inclusive. So, the range is:

\(Range= [Minimum, Maximum]\)

This gives:

\(A = [28,32]\)

For fish B, the minimum is known (and inclusive). The maximum is not known, so we represent the maximum with infinity.

So, the range is:

\(Range= [Minimum, Maximum)\)

\(B = [11,\infty)\)

The range of fish B is not reasonable because there is a limit to the size of fish a slot can take.

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health programs routinely study the number of days that patients stay in hospitals. in one study, a random sample of 12 men had a mean of 7.95 days and a standard deviation of 6.2 days, and a random sample of 19 women had a mean of 7.1 days and a standard deviation of 5.0 days. the sample data will be used to construct a 95 percent confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital. have the conditions been met for inference with a confidence interval?

Answers

The conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days.

What is confidence interval ?

A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence.

To determine if the conditions for inference with a confidence interval have been met, we need to check the following assumptions:

Random Sampling: The sample of men and women should be random and representative of the population.Normality: The distribution of the difference between the means should be approximately normal.Independence: The two samples should be independent of each other.

Since the sample sizes are greater than 30 for both men and women, we can assume normality based on the Central Limit Theorem.

Also, since the samples are selected independently and randomly, the assumption of independence is met.

Therefore, the conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital.

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Wouldn’t it be 120 degrees too?

Wouldnt it be 120 degrees too?

Answers

Answer:

I think you would be right.

Tell whether the relationship shown in the mapping diagram is a function or not.

Tell whether the relationship shown in the mapping diagram is a function or not.

Answers

Answer:

It is a function

Step-by-step explanation:

The x-values do not repeat so it is a function.

Other Questions
a nurse is preparing to administer a cleansing enema to a client who has poor sphincter control. which of the following actions should the nurse take 3. Use a 4-bit binary counter with parallel load and logic gatesto construct a binary counter that counts from 0010 through1100. Find F 05 where v1 = 8 and v2 = 11 A) 2.95 B) 2.30 C) 4.74 D) 3.66 What is epistasis?traits where one gene interferes with the effect of anothertraits whose genes are inherited separatelytraits whose genes are inherited togetherwhen a single gene controls a trait Write the equation for newtons third law the hepatic portal system collects blood from the __________ and then routes it to the __________. Which is larger, 5^2 or 3^3? Explain how the levels of national,proverbial and local government address the interest of civil society The board of a firm wanted to get value for money by employing the right number of workers. Thus, it hired an economist to estimate the firm's production function. Based on the economist's report, the board now knows that the firm's production function is given by Q=K^1/2 L^1/2. Capital is fixed at 9unit. Suppose the firm can hire labor at a wage of GHS 15 per hour and output can be sold at a price of GHS 500 per unit. Determine the profit-maximizing levels of labor and output what is e(s + t) = es + Required information A current source in a linear circuit has is = 25 cos( A pi t+ 25) A. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Calculate is at t= 2 ms, where A = 22. The current is at t= 2 ms is A. Solve the given proportion.x/2=8/4x= Is a virus alive?No. Although viruses exhibit many of the characteristics of life, they are not considered to be alive.No, because viruses do not exhibit any of the properties that are considered characteristic of life.Yes, because a virus has an ordered structure. It can respond to its environment, and viral populations can evolve.Yes, because viruses can use host cells to reproduce. Define buisness collaboration. What are the things to be considered in buisness collaboration? - 2(3x + 4) - 2x - 5 Adam Smith is best known for describing *The French Revolution.Capitalism and Laissez Faire.The Industrial Revolution.The revolution of the planet in space. A PMMC instrument has a coil of dimensions 12 mm 12 mm. Theflux density in the air gap is 1.5 x 10-3 wb/m2 and the springconstant is 0.10 x10-6 N-m/rad. Determine the number of turns required to produce an angular deflection of 120 when a current of 6 mA is flowing through the coil. Evaluate the iterated integral by converting to polar coordinates. ./2 - y2 5(x + y) dx dy 12- 2v2 3 x Which inequality has like variable terms on each side of the inequality symbol? At Piedmont High School, 3 out of every 8 students are athletes. If there are 1280 students at the school, how many are not athletes?