PLEASE NEED DONE ASAP WHOLE THING

Answer:

27

Step-by-step explanation:

If  \(f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}\),  then the value of  \(f(8)\) is  \(f(8) = \frac{-93}{4480}\).

A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of \(ax^{2} + bx + c = 0\), where \(a,b,c\)  are the real numbers.

We have

\(f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}\)

According to Quadratic Equation,

\(f(x)=ax^{2} +bx+c\)

And we have,

\(f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}\)

So,

\(f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}\)

i.e. putting \(x=8\),

\(f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}\)

\(f(8) = \frac{1}{128} - \frac{1}{35}\)

Solving the above part,

\(f(8) = \frac{ 35-128 }{ 128*35 }\)

\(f(8) = \frac{-93}{4480}\)

Hence, we can say that value of  \(f(8) = \frac{-93}{4480}\) .

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In question 27, the price elasticity of supply for shampoo is given as 20, and the price of shampoo increases by 0.7%. The expected change in the quantity of shampoo supplied can be determined using the concept of price elasticity of supply. However, the specific percentage change in quantity supplied is not provided, so a precise answer cannot be given based on the given information.

In question 20, an inferior good in which the income effect dominates the substitution effect is referred to as a Giffen good. It is not classified as a normal good, luxury good, mass-produced good, or favored good.

In question 30, the cross elasticity of demand measures the responsiveness of the quantity demanded of a particular good to changes in the prices of its substitutes and complements. The correct answer is that the cross elasticity of demand measures the responsiveness to changes in both substitutes and complements.

In question 27, without the specific percentage change in quantity supplied, we cannot determine the exact outcome based on the given information. The price elasticity of supply of 20 suggests that the quantity supplied is highly responsive to changes in price, but the specific percentage change in quantity supplied cannot be calculated without additional data.

In question 28, the relationship between pasta being a Giffen good and other characteristics is not specified. While pasta being a Giffen good indicates that the quantity demanded increases as the price increases, it does not imply whether pasta is a normal good, luxury good, or how price changes affect quantity demanded.

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Answer:

Number of children = x = 88

Number of Adults = y = 252

Step-by-step explanation:

Let us represent:

Number of children = x

Number of Adults = y

On a certain hot​ summer's day, 340 people used the public swimming pool.

Hence:

x + y = 340..... Equation 1

x = 340 - y

The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $677.00.

$1.25 × x + $2.25 × y =$ 677

1.25x + 2.25y = 677..... Equation 2

Let us substitute: 340 - y for x in Equation 2

1.25(340 - y) + 2.25y = 677

= 425 - 1.25y + 2.25y = 677

Collect like terms

- 1.25y + 2.25y = 677 - 425

1y = 252

y = 252

Solving for x

x = 340 - y

x = 340 - 252

x = 88

Therefore the number of children and adults that swam at the public pool that​ day are: 88 children and 252 Adults.e

Answer:

You could buy 12 DVDs when one DVD costs $16.

Step-by-step explanation:

192 / 16 = 12

Answer:

it’s f(x)=135cos(34 pi t)+262

Step-by-step explanation:

got it right on edge

The function represents the height, in feet, of the tip of this blade after t minutes is h = 135sin(π3.5t)+262. Then the correct option is A.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The height of the blade as a function f time can be written in the following way:

h = Asin(xt) + B, where:

B- The initial height of the blade above the ground.

A- The amplitude of the length of the blade.

x - period.

The initial height is 262 ft, therefore, B = 262ft. The amplitude of the length of the blade is 135ft. Therefore, A = 135.

The period is two rotations every minute, therefore the period should be:-

x =60/17

x = 3.5π

Finally, the equation that can be used to model h is:

h = 135sin(π3.5t)+262

Hence, the correct option is A.

The complete options are given below:-

A. h = 135sin(π3.5t)+262

B. h = 262sin(π3.5t)+135

C. h = 3.5sin(π262t)+135

D. h = 135sin(π262t)+ 3.5

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Answer:

b=4

Step-by-step explanation:

3(b + 2) - 3= 15

3b + 6 - 3 = 15

3b + 3 = 15

3b = 12

b = 4

To check the if a table represents a linear function we have to find the rate of change between the first two ordered pairs can be compared to the rate of change between the first and last ordered pairs to see if they are the same.

Well, a straight line is proportional to a linear function (on a graph). And the answers to the numbers can't be the same. If the X input is 5, for instance, and the Y output is 7, then Another non-linear X input of 5 and Y output of 8 follows.

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

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(Answer: 1/3.)

Step-by-step explanation:

3/10 = 0.3 (Nonrepeating decimal)

1/3 = 0.333..... 1 divided by a prime number always will be an irritational number (Repeating decimal)

6/12 = 1/2 = 0.5 (Nonrepeating decimal)

3/4 = 0.75 (Nonrepeating decimal)

Answer:

x= 89°

Step-by-step explanation:

Let's use the rule of corresponding angles.

x+ 32°= 121° (corr. ∠s)

x= 121° -32°

x= 89°

Answer:

4

Step-by-step explanation:

an=-4+3(n-1)=-4+3n-3=3n-7

a1=3×1-7=3-7=-4

a5=3×5-7=15-7=8

a1+a5=-4+8=4

Answer:

slope = \(\frac{4}{3}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = C (1, 3 ) and (x₂, y₂ ) = B (4, 7 )

m = \(\frac{7-3}{4-1}\) = \(\frac{4}{3}\)

The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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Answer:

3.625 gpm

Step-by-step explanation:

Answer

He needs to buy 27 Cows

Step-by-step explanation:

if the ratio from horses to cows is 5-3 then you multiply 5 by the number to get 45 and also multiply it by 3

5 x 9 = 45

3 x 9 = 27

The seasonal index (SI) for Q1 can be found by first obtaining the average data. The ratio-to-moving average data can be converted to actual data by multiplying it by the moving average. The table for actual data obtained from ratio-to-moving average data is given below.

The seasonal index (SI) for Q1 can be found by first obtaining the average data. The ratio-to-moving average data can be converted to actual data by multiplying it by the moving average. The table for actual data obtained from ratio-to-moving average data is given below.

Year    Quarter 1    Quarter 2   Quarter 3    Quarter 4

2019       34.416        50.412         51.8            26.364

2020      22.995       40.164         41.58          20.244

2021           x                  x                  x                 x

The value of the moving average is the average of the four quarters of each year. They are obtained as shown below:

Year    Quarter 1    Quarter 2    Quarter 3    Quarter 4

2019      43.498        43.498        43.498        43.498

2020     31.495         31.495         31.495         31.495

2021          x                  x                  x                   x

The actual data can be used to determine the SI for each quarter. They are given by dividing the actual data for a quarter by the average of the corresponding quarters for all years. This gives:

SI for Q1 = (34.416 + 22.995 + x)/(43.498 + 31.495)

SI for Q1 = (57.411 + x)/74.993

The average data is obtained by adding up all the actual data and dividing by the total number of quarters. This gives:

Average data = (34.416 + 50.412 + 51.8 + 26.364 + 22.995 + 40.164 + 41.58 + 20.244 + x)/(4 x 3)

Average data = (267.971 + x)/12

Thus, the SI for Q1 is given by:

SI for Q1 = (57.411 + x)/(267.971 + x)

Therefore, To find the seasonal index (SI) for Q1 from the ratio-to-moving average data, first convert the ratio-to-moving average data to actual data by multiplying it by the moving average. Next, determine the moving average for each year by finding the average of the four quarters. Then, use the actual data to find the SI for each quarter by dividing the actual data for a quarter by the average of the corresponding quarters for all years.

Finally, use the SI equation (SI for Q1 = (57.411 + x)/(267.971 + x))

to find the seasonal index for Q1. The average data is also obtained by adding up all the actual data and dividing by the total number of quarters.

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After answering the provided question, we can conclude that As a result, function the automobile is worth $5,131.11 after 12 years after its acquisition in 2004.

In mathematics, a function seems to be a link between two sets of numbers in which each member of the first set (known as the domain) corresponds to a specific member of the second set (called the range). In other words, a function takes input from one collection and creates output from another. The variable x has frequently been used to represent inputs, whereas the variable y has been used to represent outputs. A formula or a graph can be used to represent a function. For example, the formula y = 2x + 1 depicts a functional form in which each value of x generates a unique value of y.

The worth of the automobile at the end of each year should be computed using the value at the start of that year, not the initial purchase price.

We may use the following formula to accurately predict the car's value:

Value = $25,000 multiplied by (1 - 0.14)n

where n is the number of years since 2004.

To calculate the value of the automobile after 12 years from its acquisition in 2004, use n = 12:

monetary value = $25,000 x (1 - 0.14)12

Value = $5,131.11

As a result, the automobile is worth $5,131.11 after 12 years after its acquisition in 2004.

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The symbol to make the following statement true is 3 lb > 32 oz.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

In other words, Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Therefore, let's choose the symbol that represents the statement.

Firstly, we will convert the units.

1 pounds = 16 ounce

3 pounds = 48 ounces.

Hence,

48 ounces is greater than 32 ounces.

Therefore, the correct symbol for the statement is   3 pounds > 32 ounces.

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The value of the constant c that makes the probability statement P(-esz Sc) = 0.252 correct is 0.68. To determine the value of the constant c that makes the probability statement P(-esz Sc) = 0.252 correct, we need to use the complement rule, which states that P(A) = 1 - P(A').

In this case, we can rewrite the statement as P(-esz Sc)' = 0.748 (since the complement of the event "-esz Sc" is "esz Sc'").

Next, we need to use the standard normal distribution table or calculator to find the z-score that corresponds to a probability of 0.748. The closest value we can find is 0.7464, which corresponds to a z-score of -0.68 (rounded to two decimal places).

Now we can use the standard normal distribution formula

\(z = (x - mu) / sigma,\)

where mu is the mean (which is 0 for the standard normal distribution) and sigma is the standard deviation (which is 1 for the standard normal distribution).

Plugging in the values we have, we get -0.68 = (-c - 0) / 1, which simplifies to -0.68 = -c. Solving for c, we get c = 0.68 (rounded to two decimal places).

Therefore, the value of the constant c that makes the probability statement P(-esz Sc) = 0.252 correct is 0.68.

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Nora could run 7.5 minutes per mile to qualify for the state cross-country championships. The correct answer is option c.

To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. So, her average rate should be:

average rate = total time / total distance

If she runs at the slowest rate possible to still qualify, then her average rate would be:

average rate = 30 / 4 = 7.5 minutes per mile

Therefore, the correct option is c) 7.5.

If she runs slower than this average rate, then her total time would exceed 30 minutes and she would not qualify.

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Answer:

I believe the answer is A: 2,557.51 yards^3

Step-by-step explanation:

Ok, I may be wrong, but I did my best!!!!!! Don't hate me!!!

The formula for the volume of a cone is pi times the radius squared times the height divided by 3:

9.6^2 = 92.16

92.16 * 3.14 = 289.3824

26.5/3 = 8.83333333

289.3824 * 8.83333333 = 2556.2112 ~ 2,557.51

Since A is the closest number to this one, I would go with A: 2,557.51 yards^3

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The probability that a woman with breast cancer will survive after her surgery is less than -1.33 is approximately 0.0918.

Therefore P(X < 6) = 0.0918 or 9.18%.

 To find the probability that a woman with breast cancer will survive after surgery, we need to use the normal distribution formula.

z = (x - μ) / σ

where z =z-score

x=survival time in years,

μ =mean survival time,

and σ= standard deviation of survival time.

Let X be the survival time, then \(X ~ N(8, 1.5^2).\)

a) 10+ year survival probability:

I would like to find P(X > 10). Using the formula above, we get:

z = (10 - 8) / 1.5 = 1.33

A standard normal distribution table or calculator tells us that the probability that z is greater than 1.33 is approximately 0.0918.

Therefore P(X > 10) = 0.0918 or 9.18%. b) 5- to 7-year survival probabilities:

b) 5- to 7-year survival probabilities: I would like to find P(5 < X < 7).

Using the formula above, we get: z1 = (5 - 8) / 1.5 = -2

z2 = (7 - 8) / 1.5 = -0.67

From a standard normal distribution table or calculator, we know that the

probability that z is between -2 and -0.67 is approximately 0.1841.

Therefore P(5 < X < 7) = 0.1841 or 18.41%.

c) Probability of survival <6 years:

Find P(X < 6). Using the formula above, we get:

z = (6 - 8) / 1.5 = -1.33

A standard normal distribution table or calculator tells us that the probability that z is less than -1.33 is approximately 0.0918. Therefore P(X < 6) = 0.0918 or 9.18%.  

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The function; g(x)=f(x+ 2)+2, it follows that the vertex of the function is;

(5, 3+2) +2 = (5, 5) + 2

Given,

A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (5, 3)(5,3).

To find the what is the vertex of the function defined as g(x)=f(x+2)+2g(x)=f(x+2)+2

Now,

What is the equation of the parabola?

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (5, 3).

Hence, if the function; g(x)=f(x+ 2)+2, it follows that the vertex of the function is; (5, 3+2) +2 = (5, 5) + 2.

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This question is incomplete

Complete Question

Joe needs to transfer 28 quarts of oil into gallons containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error

Joe's error:

28 quarts × 4 quarts/ 1 gallon

= 28 quarts/1 × 4 quarts/ 1 gallon

= (28 × 4)/ ( 1 × 1) = 112 gallons

Answer:

7 gallons is the correct answer

Joe needs to transfer 28 quarts of oil into 7 gallons

Step-by-step explanation:

Joe's error:

28 quarts × 4 quarts/ 1 gallon

= 28 quarts/1 × 4 quarts/ 1 gallon

= (28 × 4)/ ( 1 × 1) = 112 gallons

Correcting Joe's error, we have:

4 quarts = 1 gallon

28 quarts = x

Cross Multiply

4 quarts × x = 28 quarts × 1 gallon

x = 28 quarts × 1 gallon/ 4 quarts

x = 7 gallons

= 28 quarts/x gallons × 1 gallon/4 quarts

= (28 × x)/ ( 1 /4) = 7 gallons

Therefore, Joe needs to transfer 28 quarts of oil into 7 gallons

3xX

Step-by-step explanation:

Hey there!

The answer is D

We solve this by multiplying the exponents, and we get 15:

3 x 5 = 15

So, the answer is 2^15

Hope it helps and have a great day!

Answer:

1099.2 pounds

Step-by-step explanation:

Given data

Weight= 133 pounds

Percentage of far= 12.1%

Let the total fat be x

So

12.1/100*x= 133

0.121*x=133

x= 133/0.121

x= 1099.1735 pounds

x= 1099.2 pounds

Answer:

x=3

z=112

Step-by-step explanation:

9x-27 needs to be solved for x.

Set the equation equal to zero.

9x-27=0

Now add 27 to both sides.

9x=27

Divide both sides by 9

x=3

Plug 3 into 5x+53 to find the angle.

5(3)+53=15+53=68.

Since 5x+53 and Z are  on the same line, that means, when added together, they equal 180 degrees. Subtract 68 from 180.

z=112

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.