Help please it’s due tomorrow I’ve been trying and I just can figure it out so if someone could help…

Help Please Its Due Tomorrow Ive Been Trying And I Just Can Figure It Out So If Someone Could Help

Answers

Answer 1

Answer:

\(1.357*10^4\)

Step-by-step explanation:

A star is 2.3 x 10^2 light years away

We know that one light year is about 5.9 x 10^12 miles away

So, we know the star is 2.3 x 10 ^2 x 5.9 x 10^12 = 13.57 x 10^14 = 1.357 x 10^14

Hope this helps :)

Have a nice day!


Related Questions

Michael's mom loves Bright Scents candles. A 4-inch candle will burn for 8 hours. Michael bought his mom a 10-inch candle for Mother's Day.
If Bright Scents candles all burn at the same rate, how many hours will the 10-inch candle burn?

Answers

Answer:

Step-by-step explanation:

Mrs. A has 76 wonderful seventh graders that she teaches this year. She took a random survey of 20 students and
found that seven students like twizzlers, 12 like jolly ranchers, and one does not eat sweets. pls help meh

Answers

Answer:

what kind of a question is this? lol. seems liek u need to subtract those 20 students from 70. im not sure wat ur askin but here. try this.

WHAT IS THE QUESTION??? im confused. welp.

At a local Frozen yogurt store their special includes any 4 toppings from their list of 16 toppings. How many different orders are possible?

A. 43,680
B. 65,536
C. 64
D. 1,820

Do I use the equation nCn or nPn to find the answer?

Answers

There are 1820 different orders possible for selecting any 4 toppings out of a list of 16 toppings.

How many different orders are possible?

To calculate the number of different orders possible for selecting any 4 toppings out of a list of 16 toppings,

we can use the combination formula:

nCr = n! / r!(n-r)!

where n is the total number of items, r is the number of items to be selected, and ! represents the factorial operation.

Substituting the given values, we get:

16C4 = 16! / 4!(16-4)!

16C4 = (16 × 15 × 14 × 13) / (4 × 3 × 2 × 1)

16C4 = 1820

Therefore, there are 1820 different orders possible.

Option D. 1,820 is the correct option.

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I need help with this question.​

I need help with this question.

Answers

Answer:

Complement = 15 Degrees

Supplement = 105 Degrees

Step-by-step explanation:

The complement of an angle refers to the measure that will make the angle 90 degrees.  So, the complement of 75 would be 15, since 90 - 75 = 15.

The supplement of an angle refers to the measure that will make the angle 180 degrees.  So, the supplement of 75 would be 105, since 180-75 = 105.

Cheers.

the bakery sold 60 cheesecakes yesterday. 4/5 of the cheesecakes were vanilla. How many vanilla cheesecakes were sold?​

Answers

Answer:

60 x 4/5 = 240/5 = 48

48 vanilla cheesecakes

A university claims its recent graduates earn an average annual salary of
$45,000. You draw a random sample of 40 recent graduates and find that their
average salary is $46,000, and calculate the standard error of the sample mean
as 436.81. What is the t ratio for this result?

Answers

Answer:

t-ratio = 0.362

Step-by-step explanation:

In hypothesis testing,

The t-ratio is given by the formula:

\(\dfrac{X-\mu}{s}\)

where μ is the hypothesized mean, X the sample mean and s the sample standard deviation

The Standard Error of the Mean SEM = \(\large \text{{$\dfrac{s}{\sqrt{n}}$}}\)  where n is the sample size.

We We are given:

X = 46,000
μ= 45,000

SEM = 436.81

n = 40

We can find the sample standard deviation
s = SEM x √n
s = 436.81 x √ 40

s = 2762.3

Therefore

t-ratio = (46000 - 45000)/2762.3 = 0.362

This equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.
P = P0 (1+r/n)nt
Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account, what will be the approximate value of the account in 7 years?
А. $889.57
B. $887.77
C. $714.13
D $805.10​

Answers

Answer:D

Step-by-step explanation:

Plug in 700 for P0, .02 for r, 12 for n and n, and 7 for 5.

Approx value of the account in 7 years will be 805.10$.

What is compound interest?

Simple interest and compound interest are the two methods for calculating interest. Simple interest is computed on a loan's principal, or initial loan amount. Compound interest is sometimes referred to as "interest on interest" since it is computed using both the principal and the accrued interest from prior periods.

Given that equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.

P = P0 (1+r/n)nt

Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account.

Hence, initial deposit:$700.00

Interest rate:2% yearly

Time:7 years

Compounding: Monthly so n = 12

put these values in the given equation. we will get P = 805.10

Therefore the value of the account in 7 years will be 805.10$.

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Delaney gave her nail technician a $4.50 tip. The tip was 5% of the cost of the manicure. Write an equation to find b, the cost of the manicure.
If all percents are expressed as decimals, the equation can be used to find b, the cost of the manicure.
(Use the operation symbols in the math palette as needed. Type an equation. Use whole numbers or decimals for any numbers in the equation. Do not simplify.)
Help me solve this
View an example Get more help.

Answers

The cost of the manicure (b) is,

⇒ b = $4.275

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Delaney gave her nail technician a $4.50 tip.

And, The tip was 5% of the cost of the manicure.

Now, Let the cost of the manicure = b

Hence, We get;

⇒ b = $4.50 - 5% of 4.50

⇒ b = 4.50 - 5/100 × 4.50

⇒ b = 4.50 - 5 × 0.045

⇒ b = 4.50 - 0.225

⇒ b = $4.275

Thus, The cost of the manicure (b) is,

⇒ b = $4.275

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Right triangle with a hypotenuse of 159 ft and Angle A = 34 degree
Calculate the length of the sides they should be rounded to the nearest whole foot. The rounded for the legs (side) should be used to calculate the area of the triangle

Answers

the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

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I'm using system of equations and I have to use either substitution or elimination. My two equations are

2x - 6y = 13
8x - 24y = 8​

Answers

You can multiply the equation of 2x by 4 so you can cancel out 8x
Here’s the explanation and answer with both of the methods :)
I'm using system of equations and I have to use either substitution or elimination. My two equations

he table below shows all of the possible outcomes for rolling two six-sided number cubes. A table with 36 possible outcomes. There are 9 desired outcomes. What is the probability of rolling an even number first and an odd number second? StartFraction 1 over 9 EndFraction StartFraction 1 over 6 EndFraction One-fourth One-half

Answers

The probability of rolling an even number first and an odd number second is equal to ( 1 / 4 ). The correct option is C.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that a table with 36 possible outcomes. There are 9 desired outcomes.

The probability will be calculated as below:-

Probability = 9 / 36

Probability = 1 / 4

Therefore, the probability of rolling an even number first and an odd number second is equal to ( 1 / 4 ). The correct option is C.

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Please help me ASAP it’s times THANK U

Please help me ASAP its times THANK U

Answers

Answer:

Only choices C and D are solutions

Step-by-step explanation:

6x + 3y = -15

y = -2x - 5

6x + 3y = -15

6x + 3(-2x - 5) = -15

6x - 6x - 15 = -15

0 = 0

Since 0 = 0 is a true statement, both equations of this system are the same equation and represent a single line on the coordinate plane.

We need to check each choice in just one equation.

Let's use the second equation.

y = -2x - 5

A.

(2, 7)

7 = -2(2) - 5

7 = -4 - 5

7 = -9   False

Not a solution

B.

(5, 0)

0 = -2(5) - 5

0 = -10 - 5

0 = -15     False

Not a solution

C.

(-3, 1)

1 = -2(-3) - 5

1 = 6 - 5

1 = 1   True

Solution

D.

-13 = -2(4) - 5

-13 = -8 - 5

-13 = -13    True

Solution

Answer: Only choices C and D are solutions

Find a, b & c value

Find a, b & c value

Answers

The value of a, b and c are found as 6, 10 and 2 respectively.

Explain about the exponents of the number?

Values for exponents, commonly referred to as powers, indicate how many often to multiply a quantity by itself.

For instance, 43 instructs you to divide by three the number four. The base of a power is the integer being increased, and the exponent or power is the superscript number it above base.A number's exponent shows the amount of times the number has been multiplied by itself.

The given expression is;

\(4x^{8} y^{c} = \frac{24x^{b}y^{-3} }{ax^{2} y^{-5} }\)

Solving expression using the law of indices.

\(x^{8} y^{c} = \frac{6x^{b-2}y^{-3+5} }{a}\)

\(ax^{8} y^{c} = {6x^{b-2}y^{2} }\)

Comparing powers of both sides:

a = 6

8 = b-2 : b = 10

c = 2

Thus, the value of  a, b and c are found as 6, 10 and 2 respectively.

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Which has the greater circumference, circle A with radius = 6 inches, or circle B with diameter = 10 inches. Explain how you know​

Answers

Answer:

skp

Step-by-step explanation:

Answer:

The answer would be circle A

Step-by-step explanation:

circle A: 12 inches for diameter

circle B: 10 inches for diameter

What is the volume of the rectangular prism?

What is the volume of the rectangular prism?

Answers

the answer would be 22.5

I need help completing the proving Statement

I need help completing the proving Statement

Answers

This looks like a fill-in the blanks question for a two column proof :]

3. CPCTC

The reasoning for this is that because triangle ABC and EDC are congruent, their corresponding parts are also congruent, (CPCTC; Corresponding Parts of Congruent Triangle are Congruent) or AC = EC

4. ACE

Because AC = EC, triangle ACE is isosceles

5. Base Angles Theorem

The base angles of a isosceles triangle are congruent

:]

If you do all of them and finish the mystery sentence you will get a thanks, 5.0/5.0 and a brainly

If you do all of them and finish the mystery sentence you will get a thanks, 5.0/5.0 and a brainly

Answers

9514 1404 393

Answer:

  THEN IT WOULD BE A FOOT

Step-by-step explanation:

The list of products  begins with the numbers you already have:

  2599, 14652, 61404, 17034,

  46176, 67704, 14735, 19392,

  28084, 23907, 11172, 23340, 3712,

  10476, 63364, 23208, 14769, 40128

__

I found it tedious to compute these and do the look-up, so I wrote a little program to do it for me. Even typing the numbers and letters into the program was tedious enough.

The answer to the riddle is ...

  THEN IT WOULD BE A FOOT

If you do all of them and finish the mystery sentence you will get a thanks, 5.0/5.0 and a brainly

What is the answer I need help and I can’t seem to figure it out

What is the answer I need help and I cant seem to figure it out

Answers

The new dimension of the rectangular field are 45 ft by 120ft.

How to find the new dimensions of the field?

If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:

lenght = K*L

width = K*W

In this case the original dimensions are:

L = 30ft

W = 80ft

And the scale factor is K = 1.5, then the new dimensions are:

L' = 1.5*30ft = 45ft

W' = 1.5*80ft = 120ft

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A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)

Note: MPG stands for miles per gallon of gas.

IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.

A local congressman must decide whether or not to vote for a bill to reduce the speed limit. Supporters

Answers

The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

How to explain the variables

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

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What is the equation of the line that is perpendicular to the line y= 3/5x+10 and passes through the point (15,5)?

What is the equation of the line that is perpendicular to the line y= 3/5x+10 and passes through the

Answers

Answer:

Step-by-step explanation:

This is really super super simple as long as you know the rules for finding a perpedicular slope from a given line. The perpendicular slope of a line is the opposite reciprocal of the given slope. Our given slope is 3/5, therefore, the perpendicular slope is -5/3. There's only one line with that exact slope, so the choice is the last one. (BTW, check the coordinate you gave. It should be

(15, -5), not (15, 5)!)

A collage student spends 3,500 on gas and insurance for their car in 1 year. If they drive 9,000 miles per year, what is their cost per mile?

A.0.50
B.0.40
C.0.39
D.0.25

Answers

Answer:

0.50

Step-by-step explanation:

The answer is 0.50 because to find the cost per mile, we divide the cost by the miles. So we would have 3,500/9,000. When we do this, we get 0.50, which is the answer.

Answer is D 0.25 per mile

Please help!! (Solve for x)

Please help!! (Solve for x)

Answers

The value of x using the theorem of intersecting secants is 10

How to calculate the value of x

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

intersecting secants

Using the intersecting secants equation, we have

8 * (8 + x) = 6 * (6 + 18)

Evaluate the like terms

So, we have

8 * (8 + x) = 6 * 24

Divide both sides by 8

8 + x = 6 * 3

So, we have

8 + x = 18

Subtract 8 from both sides

x = 10

Hence, the value of x is 10

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please help guys asap

please help guys asap

Answers

Answer:

28 i think

Step-by-step explanation:

3. A new restaurant has been open for 6 days. The owner is tracking the number of customers served for these 6 days (day 1, 2, 3, 5, and 6). She determines the least regression equation estimating the number of customers on a given day is y = 1.03x + 229.4. If thus far the restaurant has been making a net profit of $5.82, on average per customer, which of the following statements is correct? OA. On day 7, the owner can expect 15 more customers than she has served on day 6. B. If the number of customers continues to follow the current trend, the restaurant will make a net profit of $1,377 on day 7. C. On day 12, the owner can expect a net profit of $1,300. D. Net profit for days 6 and 7 combined is expected to be less than the earned net profit on day 1.

Answers

In conclusion, none of the given statements are correct based on the information provided.

To determine the correct statement, let's analyze the given information and the regression equation:

The regression equation for estimating the number of customers on a given day is y = 1.03x + 229.4, where x represents the day number and y represents the number of customers served.

We are also given that the restaurant has been making a net profit of $5.82, on average per customer:

Now let's evaluate each statement:

A. On day 7, the owner can expect 15 more customers than she has served on day 6.

To determine the number of customers on day 7, we substitute x = 7 into the regression equation:

y = 1.03(7) + 229.4 = 7.21 + 229.4 = 236.61

So, the number of customers on day 7 is approximately 237, which is not 15 more than the number of customers served on day 6.

Therefore, statement A is incorrect.

B. If the number of customers continues to follow the current trend, the restaurant will make a net profit of $1,377 on day 7.

To calculate the net profit on day 7, we need to multiply the average net profit per customer ($5.82) by the number of customers on day 7:

Net profit on day 7 = $5.82 \(\times\) 237 ≈ $1,379.34

So, statement B is incorrect as the net profit on day 7 is not expected to be $1,377.

C. On day 12, the owner can expect a net profit of $1,300.

Since the question only provides information about the number of customers served for the first 6 days, we cannot determine the net profit on day 12.

Therefore, statement C is incorrect.

D. Net profit for days 6 and 7 combined is expected to be less than the earned net profit on day 1.

To calculate the net profit for days 6 and 7 combined, we need to calculate the number of customers on both days using the regression equation and then multiply it by the average net profit per customer.

Let's substitute x = 6 into the regression equation:

y = 1.03(6) + 229.4 = 6.18 + 229.4 ≈ 235.58

Now, let's calculate the net profit for days 6 and 7 combined:

Net profit on days 6 and 7 = ($5.82 \(\times\) 235) + ($5.82 \(\times\) 237) ≈ $2,735.2

Comparing this to the earned net profit on day 1, we cannot determine if it is less or greater without the information provided.

Therefore, statement D is incorrect.

In conclusion, none of the given statements are correct based on the information provided.

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3. Find the value of x? ​

3. Find the value of x?

Answers

Answer: 7

Step-by-step explanation:

y = 180 - (17x+13) = 167 - 17x

As sum of the angles of a triangle is 180, we get that (4x+7) + 97 + 167 - 17x = 180

-13x + 271 = 180

-13x = -91

x = 7

The answer would be 7
Have a great day

WILL GIVE BRAINLEST plz help mee

WILL GIVE BRAINLEST plz help mee

Answers

Answer:

-2 3/4

Step-by-step explanation:

i gotchu

Number 1) is the right answer

Solve the problem below. Be sure to show all calculations. Explanations given to justify your solutions must be given in complete sentences.

Given the figure to the right and the fact that m∠ABD= 133°, find the measurements of the angles below.

m∠ABC=___ m∠BCD=___ m∠ACB=___

Solve the problem below. Be sure to show all calculations. Explanations given to justify your solutions

Answers

The angle measures for this problem are given as follows:

m∠ABC = 112º.m∠BCD =  34º.m∠ACB = 34º.

How to obtain the angle measures?

ADC is an isosceles triangle, with an angle of 44º, hence the base angles have the measure given as follows:

2x + 44 = 180. (sum of the internal angles of a triangle).

2x = 136

x = 136/2

x = 68º.

Hence the measure of angles ACB and BCD is of 34º, as the bisection divides the angle into two angles of equal length.

Considering the two base angles of 34º, the measure of angle ABC is given as follows:

m < ABC + 2 x 34 = 180

m < ABC = 112º.

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Which one is the correct answer ? Find the amplitude , period. Phase shift asymptotes domain range Use the fact that cos(x)=0 will be an asymptote

Which one is the correct answer ? Find the amplitude , period. Phase shift asymptotes domain range Use

Answers

Answer:

3. is your correct answer ok

(3×10 – 4)(2×1010) whats the scientific notion

Answers

The result of the multiplication in scientific notation is given by:

\(6 \times 10^{6}\)

What is scientific notation?

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.

For this problem, the numbers are given by:

\(3 \times 10^{-4}, 2 \times 10^{10}\)

The result of the multiplication is given by:

\(3 \times 10^{-4} \times 2 \times 10^{10} = 6 \times 10^{-4 + 10} = 6 \times 10^{6}\)

The result of the multiplication in scientific notation is given by:

\(6 \times 10^{6}\)

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HELPPPP

I NEED TO TURN THIS IN TODAY

HELPPPP I NEED TO TURN THIS IN TODAY

Answers

The provided remark indicates that option (D) is the appropriate choice. r + y = 1,032   1.25r + 0.75y = 979

A linear equation illustration is what?

Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3. The meaning of linear equations, the normal form for linear equations involving one element, two variables, or three variables, and instances of each will all be covered in detail in this essay.

Let r and y stand for the quantity of red and yellow passes sold, respectively.

We know that the total number of tickets sold was 1,032, so we can write the equation:

r + y = 1,032

We also know that the total sales was $979, and that the red tickets were $1.25 each and the yellow tickets were $0.75 each. Therefore, we can write the equation:

1.25r + 0.75y = 979

Therefore, the pair of linear equations that can be used to find the number of red tickets sold is:

r + y = 1,032

1.25r + 0.75y = 979

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The formula for the surface area S of a cone is S = nr + rs, where r is the radius and s is the slant height. Solve the formula for s. Justify each step. Then find the slant height of the cone when the surface area is 113 square feet and the radius is 4 feet. Approximate to the nearest tenth. according to modernization theory, some countries remain underdeveloped because How did the plan for disposal of bodies change as the realization of advancing enemy troops hit the nazi leadership? a. instead of cremation, they began to dig mass graves in which to dump the bodies. b. the mass graves were exhumed, and the bodies were cremated to hide the evidence. c. bodies were sent on trains to the camps inside german borders. d. proper caskets and grave markers were used to give an appearance of order. What are some examples that are considered modern in todays society Which of the following could cause a change in the demand for a resource (choose all that apply):Question options:Change in demand for the final product.Change in the price of a substitute for the resource.Change in the price of a complement for the resource.Change in technology. Suppose a student in your classroom has a learning disability and an accompanying IEP (Individualized Education Program) that designates reduced assessment time, how will you differentiate the product? Escribe. Can you figure out the question by reading theanswer? Write the question that triggered each of theseresponses. application software for new information systems always requires having it custom-designed to meet the needs of the organization.T/F Discuss the importance of understanding how to calculate drug doses and what steps you will take to make sure you make no mistakes. Research a story where the wrong medication caused a death, add in a summary with your post, the incorrect dose, the proper dose, and who made the mistake. Explain how you think this could have been avoided. Highlight details that explain why it is important to use current information.Whenever you read nonfiction, it's a good idea to check and see what the author has to say about how he or she found out about the topic. It helps you figure out how reliable the information is. (However, even reliable work gets outdated -- especially in science, where new information and discoveries can take surprising turns.)A Black Hole Is NOT a Hole,Carolyn Cinami DeCristofanoWhy would it be a problem if someone used old scientific research as a source?A. New discoveries might have replaced old research.B. The author might not have used reliable sources.C. Reliable research seldom changes.D. Old scientific research cannot still be valid. Why does U.S. e-waste get sent overseas? which of the following aspect of mathematics provides an example of making science and mathematics connections using data collection and expression? A transverse travelling sinusoidal wave on a string has a frequency of 100hz a wavelength of 0.040m and an amplitude of 2mm the max velocity of any point on the string is FIFA Footballs acquired a patent in 2018 at a cost of $600 million and amortizes the patent on a straight-line basis. During 2021 management decided that the benefits from the patent would be received over a total period of 8 years rather than the 20-year legal life being used to amortize the cost. FIFA's 2021 financial statements should include: Multiple Choice A patent balance of $600.0 million. Patent amortization expense of $60.0 million. A patent balance of $408.0 million. Patent amortization expense of $30.0 million. Outsourcing has been particularly detrimental to employment in which American industries?A. manufacturing and customer serviceB. health care and dental careC. agriculture and food processingD. research and development Expand z/(z-1)(2-z) in a Laurent series valid for (a) 1 < |z| 2, (b) |z 1| > 1, (d) 0 < |z 2| < 1. Two firms can control emissions at the following marginal costs: MC1 $200q1, MC = $10042, where 9 and 92 are, respectively, the amount of emissions reduced by the first and second firms. Assume that with no control at all, each firm would be emitting 20 units of emissions or a total of 40 units for both firms. a. Compute the cost-effective allocation of control responsibility if a total reduction of 21 units of emissions is necessary. b. Compute the cost-effective allocation of control responsibility if the ambient standard is 27 ppm, and the transfer coefficients that translate a unit of emissions into a ppm concentration at the receptor are, respectively, a = 2.0 and a = 1.0. What is one thing you would want to know about Benoist or how he created this work to better determine its reliability? Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches 5 where f of x equals 5 minus x when x is less than 5, 8 when x equals 5, and x plus 3 when x is greater than 5 can someone pls pls help me?