How do I solve this problem?

How Do I Solve This Problem?

Answers

Answer 1

Answer:

  y = 16(x +2)

Step-by-step explanation:

The equation of the tangent to a curve at a point can be written using the point-slope form of the equation for a line. The point is (x, f(x)), and the slope is the derivative, f'(x).

Point and slope

The point where you want the tangent line has y-value ...

  y = 2(-2)³ -8(-2) = 2(-8)+2(8) = 0 . . . . . point (x, y) = (-2, 0)

The slope at the point where you want the tangent is ...

  y' = 2·3x² -8 = 6(-2)² -8 = 24 -8 = 16 . . . . . slope m = 16

Equation of the tangent line

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -0 = 16(x -(-2)) . . . . . line with slope 16 through (-2, 0)

  y = 16(x +2) . . . . . simplified

An equation of the tangent line is ...

  y = 16(x +2)

How Do I Solve This Problem?

Related Questions

An isolated agricultural country has two distinct regions: a lowland plain and an upland of rugged hills. On one unit of land on the PLAIN, a farmer can raise 10 bushels of grain or graze 10 sheep. On one unit of land in the HILLS, a farmer can raise 2 bushels of grain or graze 4 sheep.
Determine which region has the absolute advantage for sheep production. Explain your answer.

Answers

The region that has the absolute advantage for sheep production is in the hills because food grows faster when exposed to heat and rain water.

How to illustrate the information?

It shouldbe noted as opposed to being exposed to sunlight all day, food develops more quickly in the hills when it is exposed to heat and rain.

For uphill = 10 sheep = 10 bushels

For uphill = 1 sheep = 1 bushels

For down plain = 4 sheep = 2 bushels

For down plain = 1 sheep = (1 / 2 ) bushels

Therefore, then for 1 sheep, it should be noted that 1 bushel is required in the hills.

Therefore, the region that has the absolute advantage for sheep production is in the hills because food grows faster when exposed to heat and rain water.

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5 Four friends volunteered to help Mr. Kirby build a new fence around
his property. If the property had a perimeter of 880 ft., how many feet
of fence would each man, including Mr. Kirby, have to build?

Answers

i just did this it’s 176

If nC3=120 the value of n is

Answers

The value of n in [tex]^nC_3=120[/tex] is 10 .

Combining is defined as "arrangement of objects in any order in which objects are selected", meaning "selection of objects" in any order. The  number of combinations of n different things for each r is " n "  and it is given by [tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]       ....(1) where 0 ≤ r ≤ n. This forms a general combination formula. Prime factorization means that writing a number into its product of prime numbers .

   

It is given that [tex]^nC_3=120[/tex]

Using equation (1) , we get

   [tex]\frac{n!}{3!(n-3)!} =120\\\ \\\frac{n(n-1)(n-2)(n-3)!}{3\times2(n-3)!} =120\\\\\n(n-1)(n-2)=720\\[/tex]            ....(2)

Prime factorization of 720 is given by

  [tex]720=2^4\times3^2\times5\\720=10\times9\times8[/tex]

720 can be written as [tex]10(10-1)(10-2)[/tex]

Putting above value in equation (2) , we get

 [tex]n(n-1)(n-2)=10(10-1)(10-2)[/tex]

On comparing LHS = RHS we get

  n = 10

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thirteen of the 50 digital video recorders (DVRs) in an inventory are known to be defective. what is the probability that a randomly selected item is defective?

Answers

Answer:

13/50

Step-by-step explanation:

P(defective) = Number of defective items ÷ total number of items
= 13 defective ÷ 50 total = 13/50

What’s 8^2x4^2 please help lol

Answers

Answer:

1024

Step-by-step explanation:

8^2=8x8=64

4^2=4x4=16

64x16=1024 :)

Answer: 1024

Step-by-step explanation: 8^2 times 4^2=80. When you square a number, you multiply it by itself. So, 8^2 = 8 times 8 which equals 64. 4^2 = 4 times 4 which equals 16. 64 times 16 = 1024.

A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 56 feet less than the height of the pole. If the wire is to be 8 feet longer than the height of the pole, what is the height of the pole?

Answers

The distance first from bottom of both the pole to the anchor point is approximately 56 feet smaller than the height of the pole, hence 44 feet cannot be the height of the pole. the height of both pole is 496 feet.

What exactly is a quadratic equation?

In mathematics, a quadratic equation is a second-degree equation of both the form ax2 + bx + c = 0. The coefficients are a and b, the constant term is c, and the variable is x. Because the variable x has a second degree, this quadratic equation has two roots or answers.

According to the given data:

A telephone pole is said to have a cable attached to its top that is secured to the ground. The distance from the pole's bottom to the anchor point is 56 feet less than the pole's height. So the distance from the bottom of the pole to the anchor point is:

x - 56

The wire must be 8 feet longer than just the height of the pole, thus the wire length would be:

x + 8

We know that the length of the wire is the hypotenuse of a right triangle, thus we can apply Pythagoras' theorem as follows:

(x + 8)²  = x² + (x - 56)²

x² + 16x +64 = x² +  x² - 112x + 3136

x² + 16x +64 = 2x²  - 112x + 3136

2x² + 32x + 128 = x² - 56x + 1568

2x² + 32x + 128 - x² + 56x - 1568 = 0

x² - 88x + 1440 = 0

The value pf x will be:

x = 44

x = 496

The distance first from bottom of both the pole to the anchor point is approximately 56 feet smaller than the height of the pole, hence 44 feet cannot be the height of the pole. the height of both pole is 496 feet.

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There are 48 people at a party. There are seven times as many adults as children. There are twice
s many females as males. If there are 5 girls (female children) at the party, how many men (male
adults) are there?

Answers

48 persons are present at the gathering. There are seven times more adults than children in the world. The number of women is two times that of men. If there are five females (young women) in attendance. The total number of male adults are15

The total number of people are in the party is equal to 48

Let the number of children be x

So, the number of adults in the party is equal to 7 x

x + 7 x =48 ( This is a linear equation)

So, the number of children in the comes to be 6

Number of adults in the party = 6 * 7 = 42

Now let the number of males be y

So total number of females = 2 y

Y+2y = 48 ( This is a linear equation)

Y=16

Therefore, the number of males is 16 and the number of females is 32

The number of children in the party is 6 and the female child is equal to 5

Then, the number of male children =6-5 = 1

So total number of males in the party is equal to 16

Adult males =total number of males - number of male children

=16 - 1 = 15

Hence the total number of male adults =15

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Please help me with this. I will give an Brainly and bunch of extra points.

Answers

Answer: Door 2

Step-by-step explanation:

Only one of the doors can be true. If the sign on door 2 is false, that means there is neither a lady or tiger behind the doors. That means door 1 is false. Which means the lady is not in door 1, so she must be behind door 2.

Answer: Door 2

Explanation: If one of the signs is false and we know that there is a tiger in one of the rooms and a lady in the one of the rooms than the lady is in door 2 and tiger is in door 1 because the sign on door 1 is false.

What is the solution for Elena's equation

Answers

Answer:

Step-by-step explanation:

The equation which has exactly one solution is .

The equation which has exactly infinitely many solutions is .

A p e x Algebra II

f(x) = |2x +1| + 3
g(x) = -2

Find (f + g) (x).


A. (f + g) (x) = |2x + 2|

B. (f + g) (x) = |2x + 1| + 1

C.(f + g) (x) = |2x + 4| - 2

D. (f + g) (2) = |2x| + 2

Answers

The solution to  (f + g) (x) is Option B: |2x +1| + 1

How to add functions?

We are given the functions;

f(x) = |2x +1| + 3

g(x) = -2

Now, we want to solve for  (f + g) (x). From operations of functions, we know that there are different operations which could  include addition, division, multiplication and subtraction. However, in this case;

(f + g) (x) simply means;

(f + g) (x) = f(x) + g(x)

Thus, we have;

(f + g) (x) =  |2x +1| + 3 + (-2)

=  |2x +1| + 3 - 2

=  |2x +1| + 1

Thus, the solution to  (f + g) (x) is Option B: |2x +1| + 1

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f(1)=30,f(n)=2•f(n-1)-50

Answers

The explicit formula of the sequence is Tn = 30 - 20(n - 1)

How to determine the explicit formula of the sequence?

The recursive formula of the sequence is given as

f(1) = 30, f(n) = 2 • f(n - 1) - 50

The above means that

f(n) = 2 • f(n - 1) - 50

f(1) = 30

Substitute 2 for n

So, we have

f(2) = 2 • f(2 - 1) - 50

Evaluate the difference

So, we have

f(2) = 2 • f(1) - 50

Substitute f(1) = 30 in f(2) = 2 • f(1) - 50

f(2) = 2 • 30 - 50

Evaluate

f(2) = 10

Substitute 3 for n

So, we have

f(3) = 2 • f(3 - 1) - 50

Evaluate the difference

So, we have

f(3) = 2 • f(2) - 50

Substitute f(2) = 10 in f(3) = 2 • f(2) - 50

f(3) = 2 • 10 - 50

Evaluate

f(3) = -30

So, we have the first three terms to be

30, 10, -10

The above represents an arithmetic sequence, where

First term, a = 30

Common difference = -20

The nth term of the sequence is

Tn = a + (n - 1)d

So, we have

Tn = 30 - 20(n - 1)

Hence, the explicit formula of the sequence is Tn = 30 - 20(n - 1)

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Roger hiked 7 ½ miles in 3 hours. At this constant rate, how many miles can he hike in 1 hour?

Answers

Answer: 2.5 mi/hr. 7.5/3= 2.5

Step-by-step explanation:

Answer: 2.5 miles

Explanation: divide 7.5 by 3

4. Marilyn purchased 2,000 shares of stock for $25.43 per share. She
sold them for $44.10 per share. Express her capital gain to the near-
est tenth of a percent.
O $37,340.0
O $18.67
O $18.7
O $139,060.0

Answers

Answer: c

Step-by-step explanation:

A farm stands sells oranges in 3lb bags for 3.75 what equation repesnts the cost pounds of oranges

Answers

Two equal expressions combine to make an equation, where c=1.25p.

How do equations work?

When two equal expressions are combined with the aid of the equal sign "=," an equation is created!

Considering that the farm stand charges $3.75 for 3-lb bags of oranges. As a result, the price of a pound of oranges is

A pound of oranges costs $3.75/3.

= $1.25

If the price, then, is, for p pounds of oranges,

Cost, c = Oranges' price per pound times the quantity of pounds

= $1.25 x p

c = 1.25p

Therefore, the cost pounds of oranges c-1.25p.

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30. Place the following values in order from
greatest to least:
3п, 4√5, 5√4

Answers

5(square root)4
3(pi)
4(square root)5

Zoie is painting a picture that is 15 by 27 inches. She plans to frame it in a frame x inches wide.
Write a polynomial that will be the area of the framed picture.

What will be the area of the picture with the frame if x=3?​

Answers

If the width of the painting is w, then its length is 2w. Then, since the frame is 2 inches thick on each side of the painting, its width is w+4 and its length is 2w+4. So the area of the rectangle bounded by the frame (which includes both the area of the frame and the area of the painting) is (w+4)(2w+4).

The area of the painting is w×2w=2w2, and the area of the frame is 196 square inches, so the area of the two combined is 2w2+196. However, that is the same area as the other one I described, so we can then equate the two, i.e. (w+4)(2w+4)=2w2+196. You can then solve that equation for w, and hence find all of the relevant dimensions.

Calculate the average GPA for Andy after each of his four years of high school if he gets a good start his Freshman year?​

Answers

Answer:

Freshman      Sophomore     Junior      Senior
      3.5                  3.25             3.0           3.2

Step-by-step explanation:

Average GPA = Total GPA / number of years

Freshman Year (1 year): 3.5 = 3.5

Sophomore Year (2 years) = (3.5 + 3.0) = 6.5/2 = 3.25

Junior Year(3 years) =  (3.5 + 3.0 + 2.5)/3 = 9.0/3 = 3.0

Senior Year(4 years) = (3.5 + 3.0 + 2.5 + 3.8) = 12.8/4 = 3.2

the gas/oil ratio for a certain chainsaw is 20 to 1 a.how much oil (in gallons) shouls be mixed with 8 gallons of gasoline b.if 1 gallon equals 128 fluid ounces write the answer to part a in fluid ounces

Answers

As per the given ratio

a. Quantity of oil mixed with 8 gallons of gasoline is (8/20) gallons.

b. If 1 gallons=128fluid ounces then (8/20)gallons=51.2 fluid ounces.

As given in the question,

(Gas /oil) ratio=20: 1

Let x gallons of oil mixed with 8 gallons of gasoline

a.

21:1=8 : x

⇒x=(8/20) gallons

b.

1 gallon=128 fluid ounces

⇒(8/20)gallons=(8/20)×128

                         =51.2fluid ounces

Therefore,  as per the given ratio

a. Quantity of oil should be mixed with 8 gallons of gasoline is (8/20) gallons.

b. If 1 gallons = 128fluid ounces then (8/20)gallons=51.2 fluid ounces.

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Chelsea is trying out for her school play. Using subjective probability, she estimates that she has an 80% chance of getting a part and a 25% probability of landing a lead role.

Answers

From the given probabilities, the odds are given as follows:

Getting a part: 4:1.Lead role: 1:3.

What is the missing information?

This problem asks for the odds of both events whose probabilities are given.

What are probabilities and odds?

A probability is given by the number of desired outcomes divided by the number of total outcomes.An odd is given by the number of desired outcomes divided by the number of non-desired outcomes.

Hence, an odd can also be expressed as follows:

Odd = probability/(1 - probability)

Hence the odds are given as follows:

Getting a part: 0.8/(1 - 0.8) = 0.8:0.2 = 4:1.Lead role: 0.25/(1 - 0.25) = 0.25:0.75 = 1:3.

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Find the horizontal limit(s) of the following function:

f(x)=2x3−8x2−9x/11−10x−5x3

Answers

The horizontal limit of the given function is given as follows:

y = -2/5.

What is a limit?

A limit is given by the value of function f(x) as x tends to a value. For a standard function, we just calculate the numeric value of a function.

However, in this problem, an horizontal limit means that x goes to infinity, hence it we replace and calculate the numeric values we would have a fraction of infinity divided by infinity as a result, which is an undetermined limit.

Then, we use the algorithm to solve an infinity limit, in which we consider just the term with the highest exponent of both the numerator and of the denominator.

Hence:

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{2x^3}{-5x^3} = \lim_{x \rightarrow \infty} -\frac{2}{5} = -\frac{2}[5}[/tex]

Because the limit of a constant is the constant, hence the horizontal limit of the given function is given as follows:

y = -2/5.

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If a function is differentiable, then it is continuous. True or false?​

Answers

a function is differentiable then continuous true

T value and degrees of freedom for this data step by step

Answers

Answer:

resposta é 400

Step-by-step explanation:

não sei a explicação para isso

The closest star to Earth is approximately 3.99 x 10¹3 kilometers away.
When written in standard notation, how many zeros does this number contain
before the decimal point?
A. 11
B. 12
C. 13
D. 15

Answers

When written in standard notation, there are 11 zeroes before the decimal point.

We have the distance of earth from a closest star.

We have to write it in the standard notation and determine how many zeros does this number contain before the decimal point.

What is Standard notation ?

Standard notation of a number is when a number is written with only number digits.

According to the question -

Distance from the star to earth = d = 3.99 x 10¹³ Km

In Standard notation, it will be written as -

399 , 000 , 000 , 000 , 00.00

Before the decimal point the standard notation consists of 11 zeroes.

Hence, when written in standard notation, there are 11 zeroes before the decimal point.

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It takes 90 pounds of seed to completely plant a 12 acre field. How many acres can be planted per pound of seed?

Answers

Answer:

There are 0.13 acres per pound of seed.

Step-by-step explanation:

Give Brainliest if I helped!

What Is the correct answer?

Answers

The correct answer is x/ 7 = 9. Option D

What are algebraic expressions?

Algebraic expressions are simply defined as expressions comprising of terms, variables, coefficients, constants and factors.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc.

It is important to note that quotient represents division.

Example;

The quotient of 1 and 2 is 1/ 2

The quotient of 3 and 4 is 3/ 4

From the information given, we have that;

The quotient of a number and 7 is 9

Let the number be x

We have;

x/ 7 = 9

Thus, the correct answer is x/ 7 = 9. Option D

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In any given year, a factory has a 10% probability of having a serious accident. About every how many years might the factory expect to have an accident?

Answers

Since the probability of having a severe accident is 10% in any given year, the factory might expect to experience one accident every 10 years.

What is probability?

Probability refers to the likelihood of an event occurring from many possible outcomes.

Probability shows the ratio or percentage of an outcome happening.

Probability is always stated as a proportion of an occurrence.

Data and Calculations:

The probability of a severe accident = 10%

The number of years when an accident should be expected = 100/10 = 10 years

In 10 years, when an accident might occur = 1 times (10 x 10%).

Thus, under probability, the factory might expect to experience one accident every 10 years.

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PLEASE BE FAST
Faith is going to use a computer at an internet cafe. The cafe charges $0.80 for every minute using a computer on top of an initial charge of $3. Make a table of values and then write an equation for C,C, in terms of t,t, representing the total cost of using a computer for tt minutes at the internet cafe.

Answers

Here is the table of values:

Minutes   Total cost

0                 $3

1                   $3.80

2                  $4.60

3                  $5.40

The equation representing the total cost is C = $3 + $0.80tt

What is the total cost?

The total cost of using a computer is a function of the initial charge, cost per minute and total number of minutes the computer was used.

Total cost = initial charge + (cost per minute x number of minutes)

C = $3 + ($0.80 x tt)

C = $3 + $0.80tt

Total cost when the computer is used for one minute:  C = $3 +( $0.80 x 1) = $3.80

Total cost when the computer is used for two minutes:  C = $3 +( $0.80 x 2) = $4.60

Total cost when the computer is used for three minutes:  C = $3 +( $0.80 x 3) = $5.40

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what values of a and b make this equaltion true? /sqrt648 = /sqrt2^a x 3^b

Answers

The values of a and b make this equation true/sqrt648 = /sqrt2^a x 3^b will be a = 3 and b = 4.

How to illustrate the information?

It should be noted that from the information given, the equation is given as:

✓648 = ✓(2^a × 3^b)

when a = 3

b = 4

This will be illustrated as:

✓648 = ✓(2^a × 3^b)

✓648 = ✓(2³ × 3⁴)

✓648 = ✓(8 × 729)

Therefore, the values of a and b make this equation true? /sqrt648 = /sqrt2^a x 3^b will be a = 3 and b = 4.

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In selecting a day care center for your lit-
tle brother, your parents have narrowed the
choice to three centers. They will choose the
center with the smallest child-adult ratio.
Center Adults
Sunnyside
11
Westside
11
Little Ones
13
What is the least child - adult ratio?
Children
77
88
39

Answers

The day care center with smallest child to adult ratio is Little Ones Day Care Center with the ratio 3 : 1.

What is Ratio?

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

Given is a table that shows the number of adults and children in a given day care center.

The day care center with smallest child - adult ration can be found by separately finding the child - adult ratio for each center.

1 → Sunnyside Day Care Center.

The ratio of children to adult at Sunnyside Day Care Center is given by -

77/11 = 7 : 1

2 → Westside Day Care Center.

The ratio of children to adult at Westside Day Care Center is given by -

88/11 = 8 : 1

3 → Little Ones Day Care Center.

The ratio of children to adult at Little Ones Day Care Center is given by -

39/13 = 3 : 1

On comparing -

3 : 1 < 7 : 1 < 8 : 1

Hence, the day care center with smallest child to adult ratio is Little Ones Day Care Center with the ratio 3 : 1.

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The least child-adult ratio will be the division of the numbers 11 by 88. Then the least child-adult ratio will be 1/8.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Your parents have limited the field of options for your younger brother's daycare to only three facilities. They'll pick the facility with the lowest child-to-adult ratio.

Center                  Adults             Children

Sunnyside               11                       77

Westside                 11                       88

Little Ones              13                      39

The least child-adult ratio will be the division of the numbers 11 by 88. Then the ratio will be given as,

⇒ 11 / 88

⇒ 1/8

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The time is now 9am on the analogue clock. Determine the number of times in the next 12 hours the hour hand and the minute hand coincided​

Answers

In analog clock, The number of times in the next 12 hours the hour hand and the minute hand coincided​ is the 11 times.

According to the statement

We have to find that the number of times in the next 12 hours the hour hand and the minute hand coincided.

So, For this purpose, we know that the

An Analog Clock is a clock having the numbers 1 to 12 or equivalent Roman numerals around its face and three distinct moving hands to show seconds, minutes, and hours.

From the given information:

The time is now 9am on the analogue clock. Determine the number of times in the next 12 hours the hour hand and the minute hand coincided​

Then

we know that the

The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).

AM

12:00,1:05,2:11,3:16,4:22,5:27,6:33,7:38,8:44.

So, In analog clock, The number of times in the next 12 hours the hour hand and the minute hand coincided​ is the 11 times.

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Put in order from negative to positive: blistering, hot sweltering and tropical Read the scenario. Scientists are studying compounds in a newly discovered rain forest plant. The plant produces an unusual substance that local people say acts as an anesthetic. What color change should the scientists look for when testing for carbohydrates? brown to dark blue purple to blue dark blue to brown blue to purple The part of the brain that "sounds the alarm" when stress is present is called the:____. Determine the probability of following event, rolling a pair of dice and not getting a 3 46 + 81 rounds to LOOK AT THE PIC HELPZ? What requirements would you set for students to serve in your school legislature? write two to four sentences answering these questions. The actual cost of the work performed to date is $40k. what is the schedule variance for the project? 2 A square has sides of length (x + 2) cm. A right-angled isosceles triangle has its two equal sides of length (2x + 1) cm. The area of the square is equal to the area of the triangle. (x + 2) cm (2r + 1) cm Diagram NOT accurately drawn (2r + 1)cm a) Write down an equation in .x. b) Show that your equation simplifies to 2x - 4x - 7 = 0 Determine the relationship between set A and set B if A intersects B=B. Which of the following is NOT TRUE about President Grants name? A. His birth name was Hiram Ulysses Grant. B. When he was registered at West Point, he was mistakenly listed as Ulysses S. Grant. C. His birth name was Ulysses Simpson Grant. D. The S does not actually stand for anything. E. Grant joked with his wife about what the "S" could stand for. Jennifer paid $13.44 for a pack of 12 pairs of sport socks. What was the price of a pair of sportsocks?$Box 1: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172Enter DNE for Does Not Exist, oo for InfinityPoints possible: 1This is attempt 1 of 3.Submit Jump to AnswerLicense In a two tailed normal distribution function, what is the confidence level created at 2 standard deviations? What is another phrase for "stockholder equity"?O retained earningsO earnings re-investedcommon or preferred stockO a company's net worth If a toxin blocked the action of voltage gated sodium channels, which part of this action potential would be most directly affected? which chemical can we only get from eating protein What would be the mean and standard deviation of a distribution created by multiplying the standard normal distribution by 5 and then adding 8? Find the values of the trigonometric functions of from the information given.cot() = 5/9 , cos() > 0 Can a student's cultural background affect his or her learning? someone help me please. Find the first differences for each data set, and write an equation to represent the data pattern