A once thriving company in teaneck had its monthly profits, in thousands of dollars, modeled by the equation? f(t) = t^2 9/ 1t^2 2 where t is in months after june 1st, 2002. estimate the company's profits on june 1st, 2002. estimate the company's profits many years into the future

Answers

Answer 1

The company's profits on June 1, 2002 is $4500 and the company's profits many years into the future is $1000 per month.

The equation f(t) = (t^2 + 9) / (t^2+2) provides the monthly profits, in thousands of dollar, where t refers to months after June 1, 2002.

The company’s profit on June 1, 2002 using the equation is when t = 0 months

f(0) = (0^2 + 9) / (0^2+2) = 9/2 = 4.5 or $4500.

The company’s profit on many years into the future using the equation is given by:

Limit(t→∞)((t^2+9)/(t^2+2))= Limit(t→∞)(2t/2t)=1

Hence the monthly profit is $1,000.

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Related Questions

Can SOMEONE PLZ HELPP

Can SOMEONE PLZ HELPP

Answers

Answer:

The domain is all real numbers

The range is y > 0

Step-by-step explanation:

Find the P-value for the test value.
t = 1.619, n = 23, right-tailed
0.0299
0.1196
0.0598
0.0704

Answers

The P-value represents the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true.

In this case, the null hypothesis is not provided, so we cannot determine the exact P-value.
However, we can use the t-distribution table or a calculator to estimate the P-value for a one-sample t-test with a sample size of 23 and a right-tailed alternative hypothesis.
Using a t-distribution table with 22 degrees of freedom (n-1), we find that the t-critical value for a 0.05 level of significance (alpha) is 1.717. Since the observed t-value of 1.619 is less than the critical value, we can conclude that the P-value is greater than 0.05.
Using a calculator or software, we can obtain a more accurate estimate of the P-value. For a one-sample t-test with the given parameters, the P-value is approximately 0.1196. This means that if the null hypothesis is true, we would expect to obtain a t-value as extreme or more extreme than 1.619 in about 11.96% of all possible samples of size 23.
Therefore, the answer is 0.1196.

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Lauren and Shayla have ½ pound of Skittles. They want to share the Skittles between themselves and 2 friends.

How many pounds of Skittles will each of them receive?

Answers

Using division we know that each person will have 1/4 pound of Skittles.

What is division?

In mathematics, the division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed.

For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

The division sign, "," or occasionally "/," is used in computer code.

So, we know that:

Lauren and Shayla have 1/2 pound of Skittles

They will share it with 2 more people.

Then, each will have:

(1/2)/2

1/2 / 2

1/2 * 1/2

1/4

Therefore, using division we know that each person will have 1/4 pound of Skittles.


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OFFERING 88 POINTS AND BRAINLIEST TO THE FIRST ANSWER PLEASE HELP ME FAST

OFFERING 88 POINTS AND BRAINLIEST TO THE FIRST ANSWER PLEASE HELP ME FAST

Answers

108 because 2 times 6 equals 12 and 9 x 12 equals 108

Answer

\(168in^{2}\)

Step-by-step explanation:

SA=2(wl+hl+hw)

2·(6·2+9·2+9·6)

=168

CAN SOMEONE HELP ME PLEASE ASAP!?

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

3:10

Step-by-step explanation:

3:10 is the ratio form of 3/10

In an analysis of variance problem if SST = 120 and SSTR-80, then SSE is
a. 200
b. 40
c. 80
d. 120

Answers

The value of SSE (sum squared error) is 40 in the given analysis of the variance problem if SST = 120 and SSR = 80. Option b is correct.

How to find SSE in an analysis of variance problems with the SST and SSR values?

Here the words SSE means Sum Squared Error, SST means Sum of Squares Total and SSR means Sum of Square Regression.

In the SSE accuracy measure, errors are squared and then added. It is used when the data points are similar in magnitude.

The formula is SST = SSR + SSE ⇒ SSE = SST - SSR

Calculation:

The given values of the analysis of the variance problem are

SST = 120; SSR = 80

Then, the value of SSE = SST - SSR = 120 - 80 = 40

So, option b is correct.

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Find the mean, median, mode, range, and standard deviation of the data set that is obtained after multiplying each value by the given constant. Round to the nearest tenth, if necessary. If there is no mode, write none.
1, 5, 4, 2, 1, 3, 6, 2, 5, 1; x6.5

Answers

Answer:

Step-by-step explanation:

First, organize the numbers; 1,1,1,2,2,3,4,5,5,6. The median is the middle number, in this case, 2 and 3 are in the middle. You'd add 2+3 which equals 5, then divide by 2 to get 2.5. The median is 2.5, to find the mode you need to see how many times one number appears. The mode is 1, the range is the largest number minus the smallest number. The range is 5, to find the mean you add all numbers up, then divide by how many numbers there are. All the numbers added up are 30, now divide that by 10 to get 3. The mean is 3. The standard deviation is 1.7 x 6.5 = 20.8

I'm only an algebra student so I may not be entirely correct.

ASAP
Which equation has no solution?

ASAP Which equation has no solution?

Answers

The equation 32.1y + 3.1 + 2.4y - 8.2 = 34.5y - 5.1 has no solution.

What is zero solution?

In Mathematics, an equation is said to have zero solution or no solution when the left hand side and right hand side of the equation are not the same or equal when simplified. This ultimately implies that, an equation would have zero solution or no solution when both sides of the equal sign are not the same and the variables cancel out when simplified.

How to determine the number of solutions?

Based on the rule given above, the third equation fails. In order to determine the number of solutions that this equation has, we would simplify the equation by collecting like terms and then compare both sides of the equation as follows:

32.1y + 3.1 + 2.4y - 8.2 = 34.5y - 5.1

34.5y - 5.1 = 34.5y - 5.1

34.5y - 34.5y = - 5.1 + 5.1

0 = 0

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Consider the map 0:P2 P2 given by → (p(x)) = p(x) - 2(x + 3)p'(x) - xp"() ('(x) is the derivative of p(x) etc). Let S = {1, x, x2} be the standard basis of P2, and let B = {P1 = 1+x+x2, P2 = 2 - 2x + x2, P3 = x - x?}. Show: 1) B is a basis of P, and give the transition matrix P = Ps<--B 2) Show o is linear and give the matrix A = [ø]s of the linear map in the basis S. 3) Find the matrix A' = [0]B of the linear map o in the basis B.

Answers

Here,  [0]B = [-2 -2 0] with respect to the basis B.

1) To show that B is a basis of P2, we can show that the vectors in B are linearly independent and span P2.

Linear independence:

To show linear independence, let α1P1 + α2P2 + α3P3 = 0 for some α1, α2, α3 ∈ R.

Then we have

(α1 + 2α2 + α3) + (α1 - 2α2 + α3)x + (α1 + α2 - α3)x2 = 0

for all x ∈ R. In particular, we can evaluate this at x = 0, 1, and -1.

At x = 0, we get α1 + 2α2 + α3 = 0.

At x = 1, we get α1 = 0. Finally, at x = -1, we get -α1 + α2 - α3 = 0.

Putting these together, we get α1 = α2 = α3 = 0.

Therefore, B is linearly independent.

Span:

To show that B spans P2, we can show that any polynomial p(x) ∈ P2 can be written as a linear combination of the vectors in B.

Let p(x) = a + bx + cx2. Then we have

a + bx + cx2 = (a + b + c)P1 + (2 - 2b + c)P2 + (b - c)P3

Therefore, B is a basis of P2.

We can find the transition matrix P = Ps<-B as the matrix whose columns are the coordinate vectors of P1, P2, and P3 with respect to the basis B.

We have

P = [1 2 0; 1 -2 1; 1 1 -1]2)

To show that o is linear, we need to show that for any polynomials p(x), q(x) ∈ P2 and any scalars a, b ∈ R, we have

o(ap(x) + bq(x)) = aop(x) + boq(x).

Let's do this now:

First, let's compute op(x) for each p(x) ∈ S. We have

o(1) = 1 - 2(3) = -5o(x) = x - 2 = -2 + xo(x2) = x2 - 2(2x) - x = -x2 - 2x

Therefore, [ø]s = [-5 -2 -1]

Finally, to find the matrix A' = [0]

B of the linear map o in the basis B, we need to find the coordinates of

o(P1), o(P2), and o(P3) with respect to the basis B.

We have

o(P1) = o(1 + x + x2)

= -5 - 2(2) - 1(-1)

= -2o(P2) = o(2 - 2x + x2)

= -5 - 2(-2) - 1(1)

= -2o(P3)

= o(x - x2)

= -(-1)x2 - 2x = x2 + 2x

Therefore, [0]B = [-2 -2 0]

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Fractions: three oil tankers together contain 37 5/7 litres of oil. If two tankers have 11 3/14 litres and 12 3/7 litres of oil. Find the oil in the third tanker

Answers

Step-by-step explanation:

It is given that, three oil tankers together contain 37 5/7 litres of oil.

Total volume of oil is \(\dfrac{264}{7}\ L\)

If two tankers have 11 3/14 litres and 12 3/7 litres of oil.

Oil in first tanker is \(\dfrac{157}{14}\ L\)

Oil in second tanker is \(\dfrac{87}{7}\ L\)

Oil in first and second tanker is :

\(\dfrac{157}{14}\ L+\dfrac{87}{7}\ L=\dfrac{331}{14}\ L\)

Noo, oil in the third tanker = total volume - (Oil in first tanker + second tanker )

\(=\dfrac{264}{7}\ L-\dfrac{331}{14}\ L\\\\=\dfrac{197}{14}\ L\)

Hence, this is the required solution.

Which two points on the number line are opposites? A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is half-way between negative 1 and 0. Point C is half-way between 0 and 1. Point D is half-way between 1 and 2. points A and B points B and C points C and D points A and D

Answers

Answer:

Points B and C are opposite

Step-by-step explanation:

0 on the number line marks the center of the number line. To the right on the number line are positive integers and to the left from zero are negative integers.

Points B and C are opposite because they are each half way between 0 and 1 on the right and 0 and -1 on the left

Which two points on the number line are opposites? A number line going from negative 2 to positive 2

Answer:

b and c are opposites

Step-by-step explanation:

other guy was right

HELP PLS!! Find the distance between (-3, 11) and (-6, 4). Round to the nearest tenth.

Answers

Answer:

Your input: find the distance between P=(−3,11)

P

=

(

3

,

11

)

and Q=(−6,4)

Q

=

(

6

,

4

)

.

The distance between two points is d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

d

=

(

x

2

x

1

)

2

+

(

y

2

y

1

)

2

.

We have that x1=−3

x

1

=

3

, y1=11

y

1

=

11

, x2=−6

x

2

=

6

, y2=4

y

2

=

4

.

So, d=(−6−(−3))2+(4−(11))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=58‾‾‾√

d

=

(

6

(

3

)

)

2

+

(

4

(

11

)

)

2

=

58

.

Answer: d=58‾‾‾√≈7.61577310586391

d

=

58

7.61577310586391

.

Step-by-step explanation:

Hey! Got this off of someone else ages ago.. hope this helps tho

how many integers must you pick in order to be sure that at least two of them have the same remainder when divided by 11?

Answers

We need to start by choosing some 10 integers so that we can ensure that when they are divided by 11, at least two of the integers will give the same remainder.

The following is the explanation:

If you divide a number by 11, the answer will be a fraction. There are 11 remainders which might occur, which are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

If for example we choose one number and divide it by 11, there is a chance that the remainder may be any of the 11 (0 reminders 1). Therefore, if we choose 10 numbers, we will have the opportunity to pick 10 unique remainders, ranging from 0 to 10.

In conclusion, if we select one more integer, that is we pick 10 integers, then at least two of them would have the same remainder since there are only 10 remainders.

Because of this, we need to choose 10 numbers such that we can guarantee that at least two of them will provide the same remainder when they are divided by 11.

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Solve from question 1 to 10 ( I NEED THIS ASAP! TY )

Solve from question 1 to 10 ( I NEED THIS ASAP! TY )

Answers

Answers:

1. 65 + x = 90

  x =25

2. 51 + x = 180

   x =129

3. 107 + x = 180

   x = 73

   y = 107

   z = 73

4. angle + 13 = 180 (supplementary means 180)

   angle = 167

5. angle + 38 = 180 (supplementary means 90)

   angle = 52

6. (5x + 9) + (3x +11) = 180

   8x + 20 = 180

   8x = 160

   x = 20

angle 1 = 109            angle 2 =  71

7. 17x + 1 = 20x - 14

   1 = 3x - 14

   15 = 3x

   5 = x

angle 1 = 86            angle 2 =  86

8. (3x + 3) + (10x - 4) = 90

   13x -1 = 90

   13x = 91

   x = 7

angle 1 = 24            angle 2 =  66

9. p = 2q - 3; q + p = 180

   p = 2(180 - p) - 3

   p = 360 - 2p - 3

   3p = 357

   p = 119

   ______________

   q + (119) = 90

  q = 61

10. b = 3c + 2; b + c = 90

   b = 3(90 - b) + 2

   b = 270 - 3b + 2

    4b = 272

   p = 68

   ______________

   c + (68) = 90

  q = 22

Evaluate this function at X = 6.express your answer as an integer or a simplified fraction that is the function is undefined at the given value, indicate “undefined”.

Evaluate this function at X = 6.express your answer as an integer or a simplified fraction that is the

Answers

Since this is a pieciwise function we need to determine which expression to use for the value of x given. For the definition of the function we notice that for every x grater than 4 we need to use the function:

\(-2x-6\)

Since in this case we want to evaluate the function at x=6 and this value is greater that four we need to use this expression.

Then we have that:

\(\begin{gathered} f(6)=-2(6)-6 \\ =-12-6 \\ =-18 \end{gathered}\)

Therefore the value of the function at x=6 is -18

Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.

Answers

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

Hong Kong Budget:
Contents: The Hong Kong budget comprises revenue and expenditure. It provides a detailed analysis of expected sources of income and the allocation of funds.Format: The Hong Kong budget is presented in a clear and concise format, including charts and graphs to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability.Disadvantages: It does not provide detailed information on tax expenditures and lacks public participation in the budget process.

United States Budget:

Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.

Korean Budget:

Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.

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Imagine you have a barrel that contains thousands o candies with several different colors. We know that the manufacturer produces 35% yellow candles Five students each take a random sample of 20 candies, one at a time, and record the percentage of yellow candies in their sample. Which sequence below is the most plausible for the percent of yellow candies obtained in these five samples? 30%, 35%, 15%, 40%, 50%. 35%, 35%, 35%, 35%, 35%. 5%, 60%, 10%, 50%, 95%. Any of the above.

Answers

The most plausible sequence for the percent of yellow candies obtained in the five samples is 35%, 35%, 35%, 35%, 5%, 60%.

Determine the sample?

Since the manufacturer produces 35% yellow candies, it is reasonable to expect that the majority of the samples will have a percentage close to 35%.

The first four samples are all 35%, which is the most likely outcome considering the manufacturer's production rate. The fifth sample of 5% is also plausible since it is possible to randomly select a sample with a lower percentage of yellow candies.

The last sample of 60% is less likely but still within the realm of possibility, as some random samples may have a higher concentration of yellow candies.

Therefore, the sequence of percentages 35%, 35%, 35%, 35%, 5%, 60% is the most realistic among the given options.

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Which is least likely to be an application where statistics will be useful?O Deciding whether offering Rice Krispies improves restaurant salesO Predicting whether an airfare is likely to rise or fallO Designing the most desirable features for a ski passO Choosing the wording of a corporate policy prohibiting smoking

Answers

The option that is least likely to be an application where statistics will be useful is "Choosing the wording of a corporate policy prohibiting smoking".

This is because statistics are generally used to analyze numerical data and make predictions or decisions based on that data.

However, choosing the wording of a corporate policy does not involve numerical data and therefore would not require the use of statistics.

The other options, such as deciding whether offering Rice Krispies improves restaurant sales, predicting whether an airfare is likely to rise or fall, and designing the most desirable features for a ski pass, all involve the analysis of numerical data and therefore would benefit from the use of statistics.

Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data.

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a drawer in a darkened room contains 100100 red socks, 8080 green socks, 6060 blue socks and 4040 black socks. a youngster selects socks one at a time from the drawer but is unable to see the color of the socks drawn. what is the smallest number of socks that must be selected to guarantee that the selection contains at least 1010 pairs? (a pair of socks is two socks of the same color. no sock may be counted in more than one pair.)

Answers

The smallest number of socks that must be selected is 2023.

How to calculate smallest number of socks that must be selected?

Red socks = 100100

Green socks = 8080

Blue socks = 6060

Black socks = 4040

Because, the drawer has 4 types of socks. So if you choose 5 socks then you have at least 1 pair. Now, you have 3 unpaired socks and 1 pair of socks, if you choose 2 more socks it will guarantee you at least 1 more pair of socks. Repeat this process until you get 1010 pairs. Mathematically you can calculate with this formula,

smallest number = previously selected + select 2 more socks × (total pairs required - 1 pair already existing)

= 5 + 2 × (1010 - 1)

= 5 + 2 × 1009

= 5 + 2018

= 2023

Thus, the smallest number of socks that must be selected is 2023.

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Help me with this question please

Help me with this question please

Answers

the answer is 991^2/80
The answer is 991^2/80

What is 2/3 divided by 4/5

Answers

What is 2/3 divided by 4/5

0.83333333333

Answer:

5/6

Step-by-step explanation:

4/5 should be flipped upside down and then multipled by 2/3.

Triangle ABC has the following side lengths: 4 cm, 6 cm and 9 cm. How many different triangles can be drawn with these side lengths? Question 8 options: Exactly 2 triangles are possible. No triangle is possible. Exactly 1 triangle is possible. More than 2 triangles are possible.

Answers

Answer:

Exactly 1 triangle is possible

Step-by-step explanation:

For any given 3 side lengths, (in our case 4 cm, 6 cm, 9 cm) exactly one triangle is possible

Which value from the et 1/2 2/3 4/3 and 5/2 i a value of X that will make the equation 3/4 divided by X equal 9/8 true

Answers

On solving the provided question wecan say that - By BODMAS the value x is = x = 9/8 - 3/4 + 9/8 - 6/8 = 3/8

What is BODMAS?

BODMAS is an abbreviation for bracket, of, division, multiplication, addition, and subtraction. The BODMAS is used to describe how a mathematical expression operates in a certain sequence. The PEDMAS acronym for Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction is another name for the BODMAS in some places.

what is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. The quotient of the numerator divided by the denominator is how a number is stated in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. When a fraction is true, its numerator is smaller than its denominator.

x = 9/8 - 3/4 + 9/8 - 6/8

x = 3/8

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The length of a rectangle is 2m-1 and the width is m+3. Simplify an expression for the perimeter of the rectangle.

Answers

Answer:

6m+ 4

Step-by-step explanation:

2(2m-1) + 2(m+3)

4m - 2 + 2m + 6

6m + 4

A company that makes haircare products had 9000 people try a new shampoo. Of the 9000 ​people, 63 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer:

63/9000 = 0.007 = %0.7

Step-by-step explanation:

,&,;=;#,÷,÷

If 4 people can fit in one car how many people can fit in 78 cars

Answers

Analyze problem

find ratio

4-1

find how many people(given)

78/1=78

78*4=

312

312 people

Answer:

19 people remaining 2 people.
Give Branliest please!

HELP PLEASE!!!!!!!!!!

HELP PLEASE!!!!!!!!!!

Answers

Answer:

The answer is x+12.

Step-by-step explanation:

So because the triangle formula is base times height divided by 2 which in this case would give you 12.

Hope this helps!

7.
Grace built this pyramid using 55 blocks.
She glued the blocks together and glued
them onto a board. If she paints the pyramid
blue how many blocks will have no painted
faces?
27

Answers

Answer: 31

Step-by-step explanation:

55-24 because she said that she painted 24 blue so you would subtract them.


Create an accurate number line. PLEASE HELPP!!!!

Create an accurate number line. PLEASE HELPP!!!!

Answers

Answer:

I hope that is useful for you :)

If it right tell me in the comments plz thanks alot

Create an accurate number line. PLEASE HELPP!!!!

HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2
(5x − 1)(x + 4) 2(5x − 4)(x + 1) 2(5x + 2)(x − 2) 2(5x − 2)(x + 2)

Answers

Answer:

2(5x - 4)(x + 1)

Step-by-step explanation:

10x^2 + 2x − 8 =

First, factor out the GCF of all terms which is 2.

= 2(5x^2 + x - 4)

5x^2 factors into 5x and x.

= 2(5x      )(x       )

-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.

= 2(5x - 4)(x + 1)

Answer:

\(\large \boxed{2(5x-4)(x+1)}\)

Step-by-step explanation:

\(10x^2 + 2x - 8\)

Rewrite 2x as 10x - 8x.

\(10x^2 + 10x-8x - 8\)

Factor out the two groups.

\(10x(x+1)-8(x+1)\)

Take x+1 as a common factor.

\((10x-8)(x+1)\)

Factor 10x - 8.

\(2(5x-4)(x+1)\)

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ursula wants to freeze the header row so that it remains visible while she scrolls down the worksheet. to do so, she can click the view tab and then click freeze top row. true false Two objects of masses 1 kg and 3 kg are held stationary on a frictionless surface with a compressed massless spring between them. When the blocks are released, the 1 kg object moves to the left with velocity 9 m/s. What is the velocity with which the 3kg object moves to the right. Two blocks with masses 0.432 kg (A) and 0.834 kg (B) sit on a frictionless surface. Between them is a spring with spring constant 26.5 N/m, which is not attached to either block The two blocks are pushed together, compressing the spring by 0.302 meter, after which the system is released from rest. What is the final speed of the block A? Hint: you will need to use both conservation of energy and conservation of momentum to solve this problem). The Divergence of a Vector Field OPEN Turned in a ITEMS INFO 9. Try again Practice similar Help me with this You have answered 1 out of 2 parts correctly. Let + = (36ax + 2ay?)i + (223 3ay); (32 + 2x2 + 2y?)k. (a) Find the value(s) of a making div F = 0 a a = (Enter your value, or if you have more than one, enter a comma-separated list of your values.) (b) Find the value(s) of a making div a minimum a = 1 24 (Enter your value, or if you have more than one, enter a comma-separated list of your values.) The de source supplying a single-phase inverter with a bipolar PWM switching scheme is 99 V. The load is an R L series combination with R=30 N and L=20 mH. The output voltage has a fundamental frequency of 50 Hz. Specify amplitude modulation ratio ma to provide a 42-V rms output voltage at the fundamental frequency You are a doctorate student in biology doing a dissertation about the insect Desmolithica Geogebra. This insect causes serious damage to plums, apricot and flowering cherries. The female insect lays as many as thirty to sixty eggs on the leaves of the host trees. The time when the insect larva hatches from its egg up to the moment in finding its host tree is called the searching period. Once the insect finds the plum, it squirms into the fruit and begin to ruin it. After approximately four weeks, the insect will crawl back under the bark of the plum tree or directly to the soil where it forms a cocoon. The observation regarding the behavior of the insect demonstrate the length of the searching period S(t), and the percentage of the larvae that survive this period N(t), depend on the air temperature denoted by t. The data from the observations suggest that if the air temperature is measure in degree celsius, where 20S(t) = (-0.03t^2+1.6t-13.65)^(-1) days and N(t)= -0.85t^2+45.4t-547S(25) in days N(25) in % T when ds/dt=00.1316 56.75 26.67 1. Explain comprehensively the models for S(t) and N(t). Elaborate mathematically these formulae in predicting for the length of searching period and percentage of larvae surviving the searching period when t=25. 2. Find the rate of change of the searching period with respect to temperature t. When does this rate equal to zero? What will happen when t=0? 3. Find the rate of change of the percentage of larvae surviving the searching period with respect to length of the searching period. What information does this provide? As a ball falls from a cliff, its potential energy...A. increases.B. decreases.C. remains unchanged. Create a program that manages employees payroll in JAVA EclipseCreate an abstract class with the name Employee that implements Comparable. (8 pts)The constructor is to receive name, id, title, and salary; and sets the correspondent variables.Implement the getters for all variables.Create an abstract method setSalary, that receives the hours worked as inputs.Create another two classes inheriting the Employee class. The two classes are SalaryEmployee and HourlyEmployee, and implement their constructors as well. Both classes provide a full implementation of the setSalary to include the bonus (extra money) for the employee based on: (5 pts)SalaryEmployee can work additional hours on the top of the monthly salary, and for every hour, s/he gets extra $27/hr.HourlyEmployee base salary is 0 since s/he works per hour, and total salary is number of hours multiplied by $25.Create an ArrayList of 3 employees (one object of SalaryEmployee and two objects of HourlyEmployee). Use Collections.sort function to sort those employees, on the basis of: (7 pts)Use an anonymous class that sorts by name high to low.Print the sorted employees using foreach and above anonymous class.Use a lambda expression that sorts by name low to high.Print the sorted employees using foreach and above lambda expression.Use a lambda expression that sorts by title then by salary.Print the sorted employees using foreach and above lambda expression 5. What did women gain from working during the war? What we can do for our country and the world? T/F: when investing with a mutual fund, your return comes when the value of the fund increases. -3 multiplied by 8.2 Identify the stages of braindevelopment and how those stagesrelate to the decisions we make. What is the SI unit that is equal to 0.01 meters? Can someone help me please ill give brainy Approximately 67% of adult Americans are overweight or obese and this estimate continues to rise each year. A.True B.False. Define what a flexible workforce is. What type of flexible worker would you like to be? Support your response with examples and references to your text (Chapter 12) or independent research you have conducted. Post at least one substantive comment to another student's post. Can someone plz help me with this one problem!!!!I WILL MARK BRAINLIEST!!!! What led to European imperialism in Africa solve for y-5y + 8 = -3y + 10whats the answer During a race sample of five sports cars has a mea speed of 175mph. The speeds in miles per hour of cars are 186,181,170,151, find the speed of the five car