Which expression is the simplest form of 2(4x + 3) + 3(x - 63) + x??
OOO
A. x2 +11x-17y
B. x2 + 11x- 4y
C. x2 + 9x-17y
D. x2 +11x-16y

Answers

Answer 1

Answer:

12x-183

Step-by-step explanation:

2(4x+3)+3(x-63)+x

8x+6+3x-189+x

12x+6-189

12x-183


Related Questions

20.

When starting your credit history, a low-credit-limit, high-interest-rate credit card should be paid

as much as you can when due

in even payments each time

at least the minimum due

in full, on time, every time

Answers

Answer:

in full, on time, every time

Step-by-step explanation:

in full, on time, every time because even if little is left out it would again a large amount together with the interest. Also as the limit is low it can easily be reimbursed


Bryce can afford a $350-per-month car payment. If he is being offered a 6-
year car loan with an APR of 4.2%, compounded monthly, what is the value of
the most expensive car he can afford?
O
A. $25,196.78
B. $22,241.32
O
c. $25,167.83
O D. $24,880.83

Answers

Answer: $22,241.32 APEX

Final answer:

By calculating the present value of an annuity using the monthly payment, interest rate, and number of payments, we find that Bryce can afford a car with a value of approximately $22,241.32.

Explanation:

To calculate the value of the most expensive car Bryce can afford based on a $350-per-month car payment with a 6-year loan at an APR of 4.2%, compounded monthly, we use the formula for the present value of an annuity:

PV = PMT × ¶ [(1 - (1 + r)^-nt) / r]

Where:

PV = Present Value (what we're solving for, the cost of the car)

PMT = Monthly Payment ($350)

r = monthly interest rate (APR divided by 12)

n = number of times the payment is made per year (12)

t = number of years (6)

Given:

APR = 4.2% per year or 0.042

Monthly interest rate, r = 0.042 / 12 = 0.0035

nt = 12 × 6 = 72 payments in total

Now we substitute the given values into the formula:

PV = $350 × [(1 - (1 + 0.0035)^-72) / 0.0035]

PV = $350 × [(1 - (1 + 0.0035)^-72) / 0.0035]

PV ≈ $350 × [(1 - (1.0035)^-72) / 0.0035]

Using a calculator to find (1.0035)^-72 and then the whole expression, we get:

PV ≈ $350 × 60.4774

PV ≈ $21,167.09

The value that's closest to our calculation and offered in the options is $22,241.32, so the most expensive car Bryce can afford is approximately $22,241.32.

What is 10 to the power of 10

Answers

Is 10000000000, 10 to the power of 10
10000000000 is the answer

Which of these is a complex number?
A. 9 + 375
OB. 5/1 3 - 2
oc. 2 - 1 / 1
OD. + A

Answers

Explanation:

Note: As you haven't clearly specified the answer choices. But, I am assuming one of the answer choices may have included some negative number under a square root, as a real number cannot have a negative number under a square root. So, whatever the choice may have contained the negative number under a square root would represent the complex number. Anyhow, I would try to clear your concept.

So, lets move forward.

A complex number is basically the combination of a real number and imaginary number which can be expressed in the form of [tex]a+ib[/tex]. where a and b are termed as real numbers and i is a solution of the equation x² = -1.

So,

In  [tex]a+ib[/tex],

"i" is called iota.[tex]i=\sqrt{-1}[/tex]

For example, let us consider

[tex]2 + \sqrt{-1}[/tex]

Here, 2 is a real part, And [tex]\sqrt{-1}[/tex] is imaginary part, meaning [tex]i=\sqrt{-1}[/tex], which is imaginary part.

Therefore, [tex]2 + \sqrt{-1}[/tex] is a complex number.

Keywords: complex number, iota

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How is the graph of y = log (x) transformed to produce the graph of y = log (2 x) + 3?

Answers

Answer:

Step-by-step explanation:

The graph of log 2x has the same shape as that of log x, except that it is compressed horizontally by a factor of 2.

Additionally, that +3 indicates that we must translate the above graph upwards by 3 units.

we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.

We can transform [tex]y = \log x[/tex] into [tex]y = \log 2\cdot x +3[/tex] by means of the following operations:

Replace [tex]x[/tex] by [tex]2\cdot x[/tex]. (Dilation factor: 2)Translate the resulting expression 3 units in the +y direction. (Vertical translation)

That is, we represent the operations defined above mathematically:

1) [tex]y = \log x[/tex]

2) [tex]y = \log 2\cdot x[/tex]

3) [tex]y = \log 2\cdot x + 3[/tex]

In a nutshell, we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.

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What is 5/2 - blank = 1/3

Answers

Step-by-step explanation:

taking that blank as x

5/2 -x = 1/3

the x will go to the right hand side of the equation which then would make it positive ( making x the subject) and 1/3 will come to the left hand side of the equation becoming -1/3

so the equation will become 5/2-1/3=x

solving the fraction then gives 13/6 or 2.17 as the value of x

The value of the equation is x = 13 / 6

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the unknown number be represented as x

Substituting the values in the equation , we get

( 5/2 ) - x = 1/3   be equation (1)

Adding x on both sides of the equation , we get

( 5/2 ) = ( 1/3 ) + x

Subtracting ( 1/3 ) on both sides of the equation , we get

x = ( 5/2 ) - ( 1/3 )

On simplifying the equation , we get

x = ( 15 - 2 ) / 6

x = 13 / 6

Therefore , the value of x is 13/6

Hence , the equation is x = 13/6

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Can yall help me pls i really need help Pls

Answers

Answer:

Step-by-step explanation:

Money spent on jersey and pant = 65 * 17.50 + 65*11 = 65 * (17.50+11)

                                                       = 65 * 28.50 = $1852.50

Note: Remember to show all the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Note: Remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Harry rides his bike 25 Start Fraction 3 over 8 End Fraction miles. Karen rides her bike 25two-fifths miles. Who rides farther?

PLEASE HELP! I WILL MARK BRAINLIEST. 15 POINTS

Answers

Answer:

Harry rides further.

Step-by-step explanation:

First, you have to find the least common denominator of 8 and 5, which is 40.

3*5=15, 2*8=12

Hope this helps!!!

Karen rides farther.

What is comparison?

Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.

Given that, Harry rides his bike 25 3/8 miles. Karen rides her bike 25 2/5 miles, we are asked to find who rides farther,

Harry's distance = 25 3/8 = 203/8

Karen's distance = 25 2/5 = 127/5

Subtracting Harry's distance by Karen's distance,

203/8 - 127/5

= 1015-1016/40

= -1/40

Since, the result is in minus that means 127/5 is greater than 203/8.

Therefore, Karen's covers more distance than Harry.

Hence, Karen rides farther.

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15 POINTS!!!!!! HELPPPPP ASAP A music store has 500 guitar picks. They order 15 boxes with 9 picks each. They sell 19 boxes that have 10 picks each. The store manager says they now have about 450 guitar picks.

Is the manager's estimate reasonable?

Answers

500 guitar picks

order 15 boxes with 9 picks each

sell 19 boxes with 10 picks each

-> the store ordered about 150 picks (15 x 9 -> 15 x 10)

-> the store sold about 200 picks (19 x 10 -> 20 x 10)

it is reasonable, since they have 50 fewer picks which is about 450.

(second option)

If the volume of a cube is 729 cm3, what is the surface area of the cube?
A) 462 cm2
B) 474 cm2
C) 486 cm2
D) 494cm2

Answers

D hope i can helppppppp

Answer:

Step-by-step explanation:

The answer is C because V = s3 → 729 = s3 → 9 = s

Therefore, SA = 6s2 = 6(9)2 = 486 cm2

with the exception of the first house, all the houses on sequence lane have an address whose numerical portions are greater than that of the prior house. if ainsley and lane are next door neighbors and the sun of the numerical portions of their addresses is 49, what are their addresses ?

Answers

Answer:

The address of Ainsley is 24 and that of Lane is 25.

Step-by-step explanation:

All the houses on sequence lane have an address whose numerical portions are greater than that of the prior house.

Now, if Ainsley and Lane are next-door neighbors and the sum of the numerical portions of their addresses is 49.

Let the Ainsley has the address with numeric portion x, then Lane has the address with numeric portion x + 1.

Therefore, x + (x + 1) = 49

⇒ 2x = 48

x = 24

So, the address of Ainsley is 24 and that of Lane is 25. (Answer)

Mike invested a total of $25,000, some money in stocks and some money in bonds. The stocks earned 7% simple interest while the bonds earned 11% simple interest. Mike earned $2010 interest on his investments. How much money did he invest in bonds?

Answers

He invested $6500 in bonds

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

P is the invested amountr is the rate of interest in decimalt is the time of investment

Assume that Mike invested $x in stocks and $y in bonds

∵ Mike invested $x in stocks

∵ Mike invested $y in bonds

∵ Mike invested a total of $25,000

x + y = 25000 ⇒ (1)

∵ The interest rate of the stocks is 7%

∴ r of the stocks = 7 ÷ 100 = 0.07

∴ I (stocks) = x(0.07)(1)

I (stocks) = 0.07x

∵ The interest rate of the bonds is 11%

∴ r of the bonds = 11 ÷ 100 = 0.11

∴ I (bonds) = y(0.11)(1)

I (bonds) = 0.11y

∵ Mike earned $2010 interest on his investments

- Equate the sum of I (stocks) and I (bonds) by 2010

0.07x + 0.11y = 2010 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -0.11 to eliminate y

-0.11x - 0.11y = -2750 ⇒ (3)

- Add equations (2) and (3)

∴ -0.04x = -740

- Divide both sides by -0.04

x = 18500

- Substitute the value of x in equation (1) to find y

∵ 18500 + y = 25000

- Subtract 18500 from both sides

y = 6500

∵ y represents the amount of money he invested in bonds

∴ He invested $6500 in bonds

He invested $6500 in bonds

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Evaluate If
a = 3 and c= 6:
(a + c2 - 1) - a3 + 7 =

Answers

Answer:

the answer is 12

Step-by-step explanation:

[tex] = (3 + 2(6) - 1) - 3(3) + 7 \\ = (14) - 9 + 7 \\ = 14 - 2 \\ = 12[/tex]

Frederick buys a can of three tennis balls. The empty can weighs 20 grams, and each tennis ball weighs 60 grams. What is the total weight of the can with 3 tennis balls

Answers

The total weight of the can with tennis balls is 200 grams

Step-by-step explanation:

Let b be the weight of one ball

and

c be the weight of can

Then

c = 20 grams

b = 60 grams

The weight of three balls will be:

[tex]3b\\=3*60\\=180\ grams[/tex]

Hence,

The total weight will be:

[tex]c+ 3b\\= 20+180\\= 200\ grams[/tex]

So,

The total weight of the can with tennis balls is 200 grams

Keywords: Measurement, weights

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Answer:

200

Step-by-step explanation:

Find the measure of (Full question above)

Answers

Answer:

∠RUS = 90°

Step-by-step explanation:

PT is a line. This means that it has a measure of 180°

This means that all of the angles that it is broken up into must add together to equal 180°.

In this case, ∠PUQ +∠QUR +∠RUS +∠SUT =  180°

As we have the measures for all of the angles aside from ∠RUS, we can solve for that

First, let us input each of the measures of the angles

39+23+∠RUS+28=180

Now all we need to do is isolate ∠RUS by subtracting everything to the other side

Once that is done, we get

∠RUS = 90°

Answer:

[tex]\large\boxed{m\angle RUS=90^o}[/tex]

Step-by-step explanation:

[tex]m\angle PUT=m\angle PUQ+m\angle QUR+m\angle RUS+m\angle SUT\\\\\text{We have:}\\\\m\angle PUT=180^o,\ m\angle PUQ=39^o,\ m\angle QUR=23^o,\ m\angle SUT=28^o\\\\\text{Substitute:}\\\\180^o=39^o+23^o+m\angle RUS+28^o\\\\180^o=90^o+m\angle RUS\qquad\text{subtract}\ 90^o\ \text{from both sides}\\\\90^o=m\angle RUS[/tex]

What is the value of 5(x+2)−4(x+1) when x=1.5

Answers

Answer:

7.5

Step-by-step explanation:

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

5x+10-4x-4

5x-4x+10-4

x+6

1.5+6=7.5

Answer:

7.5

Step-by-step explanation:

Substitute 1.5 into the equation

5(1.5+2) − 4(1.5+1)

5(3.5) − 4(2.5)

17.5 - 10 = 7.5

Ryan is installing new flooring in his house. Ryan can install 121 square feet of flooring in 3 hours. How much new flooring can Ryan install in 24 hours?

Answers

Answer:

968 square feet

Step-by-step explanation:

Let x be the new flooring install in 24 hours.

Given:

Ryan can install 121 square feet of flooring in 3 hours.

So, Ryan can install flooring in one hour = [tex]\frac{121}{3} feet^{2}[/tex]

Ryan can install flooring in 24 hours.

[tex]x= 24\times flooring\ in\ one\ hour[/tex]

[tex]x=24\times \frac{121}{3}[/tex]

[tex]x=8\times 121[/tex]

[tex]x=968\ feet^{2}[/tex]

Therefore, Ryan can install 968 square feet of flooring in 24 hours.

Solve for m.

3.6m=14.4



Enter your answer in the box.

Answers

Answer:

10.8

Step-by-step explanation:

we move the 3.6 to tge other side so the sighn of it will be negative the we subtract them so m=10.8

Answer:

m=4

Step-by-step explanation:

y-x=15 y-x=5 using elimination

Answers

Answer:

No solution

Step-by-step explanation:

To eliminate is to get rid of one of the variables.

You can choose to either add each term in the equations or subtract each term in the equation.

For a variable to be eliminated, there must one pair that have the same constant with it. Each equation already has the same constant with a variable.

Try adding them.

.     y - x = 15

+    y - x = 5

2y - 2x = 20   No variables were eliminated.

Try subtracting.

.     y - x = 15

-     y - x = 5

0y - 0x  = 10   All variables were eliminated.

.         0 = 10     This is false.

This system of equations cannot be solved.

Graphically, these two lines would have the same slope and are parallel. The solution to a system is same as the point of intersection. Parallel lines never meet, never intersect, therefore there is no solution.

Using the diagram, find the value of x.
14x+4
◀----▶-▶--------------▶
A. -8
B. -7
C. 9
D. 11

Answers

Answer:

c are the correct answer

For each trip they charge on intail fee of 100 in additoin to a constant fee for each vertical letter climbed for instance the price for climbing to the shura volcianc cone which in 3000 meters above the base of the mountain in 400. Let f represent the fee in dollors of a trip they climbed d vertical meters

Answers

Answer:

f = 100 + 0.133d

Step-by-step explanation:

For each trip, they charge an initial fee of 100 in addition to a constant fee for each vertical meter climbed.

For example, for 3000 meters of climbing, they charged the additional constant fee of 400.

Therefore, per meter climbing they charges [tex]\frac{400}{3000} = 0.133[/tex].

Therefore, if f represents the fee in dollars of a trip they climbed d vertical meters then we can model the situation as  

f = 100 + 0.133d (Answer)

PLEASE ANSWER ASAP!!

Fred earned $5,000 during the month of June.

Use the paycheck statement to find the missing amounts and percent rates of the taxes Fred paid.

Answers

Answer:

Fred paid US$ 310 to Social Security as a payroll tax

Fred paid US$ 72.50 to Medicare as a payroll tax

Fred paid 18% of his income to the Federal government as an income tax

Fred paid 5% of his income to the state government as an income tax

Step-by-step explanation:

Fred's earnings in June were $ 5,000

A. Payment to Social Security

5,000 * 6.2% = 5,000 * 0.062 = 310

B. Payment to Medicare

5,000 * 1.45% = 5,000 * 0.0145 = 72.50

C. Federal Income Tax

900/5,000 = 0.18 = 18%

D. State Income Tax

250/5,000 = 0.05 = 5%

Final answer:

Calculating net income, monthly income, and tax rates based on Fred's earnings in June.

Explanation:

Mathematics

Calculate the Net Annual Income for Fred:

Calculate Social Security deduction: $5,000 * 6.2% = $310Calculate Medicare deduction: $5,000 * 1.45% = $72.50Calculate Federal and State taxes: $5,000 * 15% = $750Net Annual Income for Fred: $5,000 - $310 - $72.50 - $750 = $3,867.50

Calculate Monthly Income for Fred: $3,867.50 / 12 = $322.29

Percent Rates of Taxes Paid by Fred:

Percent of Social Security Tax: ($310 / $5,000) * 100 = 6.2%Percent of Medicare Tax: ($72.50 / $5,000) * 100 = 1.45%Percent of Federal and State Taxes: ($750 / $5,000) * 100 = 15%

(5x)+ (9y)+90 what is x and y

Answers

Answer:

Step-by-step explanation:

5x+9y+90

This is just an algebraic expression.

Solve 2 1/4 - 1 2/5=?

Answers

Answer:

17/20

Step-by-step explanation:

2 1/4=9/4

1 2/5=7/5

--------------

9/4-7/5

45/20-28/20

17/20

Marcella bought 12/14 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.

How many yards of ribbon does Marcella have left?

Enter your answer as a mixed number in simplest form by filling in the boxes.


Answers

Answer:

[tex]6\frac{1}{12}\ yd[/tex]

Step-by-step explanation:

The correct question is

Marcella bought 12 1/4 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.

How many yards of ribbon does Marcella have left?

we know that

To find out how many yards of ribbon Marcella has left, add up the yards of ribbon used for the gift packages plus the yards of ribbon used to tie the balloons. and subtract this result from the total yards of ribbon bought by Marcella

so

[tex]12\frac{1}{4}-(2\frac{1}{2}+3\frac{2}{3})[/tex]

but first convert mixed number to an improper fractions

[tex]12\frac{1}{4}=\frac{12*4+1}{4}=\frac{49}{4}[/tex]

[tex]2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}[/tex]

[tex]3\frac{2}{3}=\frac{3*3+2}{3}=\frac{11}{3}[/tex]

substitute in the expression above

[tex]\frac{49}{4}-(\frac{5}{2}+\frac{11}{3})[/tex]

[tex]\frac{49}{4}-(\frac{5*3+2*11}{6})[/tex]

[tex]\frac{49}{4}-(\frac{37}{6})[/tex]

[tex]\frac{3*49-37*2}{12}[/tex]

[tex]\frac{73}{12}\ yd[/tex]

Convert to mixed number

[tex]\frac{73}{12}\ yd=\frac{72}{12}+\frac{1}{12}=6\frac{1}{12}\ yd[/tex]

Final answer:

After calculating the total ribbon used in yards and subtracting it from the amount Marcella bought, we find that she has 5 13/42 yards of ribbon left.

Explanation:

To determine how many yards of ribbon Marcella has left, we need to subtract the total amount of ribbon she used from the initial amount she bought. Marcella originally bought 12/14 yards of ribbon. She used 2 1/2 yards for gift packages and 3 2/3 yards for tying balloons.

To make the subtraction easier, we'll first convert the mixed numbers to improper fractions. The mixed number 2 1/2 becomes 5/2 when we multiply 2 (the whole number) by the denominator (2) and then add the numerator (1), resulting in 4 + 1 = 5 over the original denominator 2. Similarly, 3 2/3 becomes 11/3 when we multiply 3 (the whole number) by the denominator (3) and then add the numerator (2), resulting in 9 + 2 = 11 over the original denominator 3.

Now, let's perform the subtraction:

First, simplify 12/14 to 6/7 by dividing both the numerator and denominator by 2.

Next, find a common denominator for all three fractions. The least common denominator for 2, 3, and 7 is 42.

Convert each fraction to have the denominator of 42.

12/14 yards (or 6/7 yards when simplified) is (6/7) * (42/42) which equals 36/42 yards.

2 1/2 yards as an improper fraction is 5/2, and when converted to have a denominator of 42, it becomes (5/2) * (21/21) which equals 105/42 yards. Similarly, 3 2/3 yards is 11/3, and when converted to have a denominator of 42, it becomes (11/3) * (14/14) which equals 154/42 yards.

Now subtract both of these amounts from 36/42 to find out how much ribbon Marcella has left:

36/42 - 105/42 - 154/42 = (36 - 105 - 154)/42 = -223/42

Because we cannot have a negative amount of ribbon, we realize we made an error. We should add the fractions instead of subtracting:

36/42 - (105/42 + 154/42) = (36/42) - (259/42)

This simplifies to -223/42, which is an improper fraction. To convert this back to a mixed number, we divide 223 by 42.

223 divided by 42 is 5 with a remainder of 13, so Marcella has 5 13/42 yards of ribbon left. However, we need the positive value since ribbon length cannot be negative. Thus, we keep the positive difference:

Marcella has 5 13/42 yards of ribbon remaining.

In conclusion, after Marcella uses ribbon for gift packages and tying balloons, she is left with 5 13/42 yards of ribbon.

what is the process of changing a mixed fraction into an improper fraction, like 4 1/3 into 13/3 ?

Answers

Answer:

multiply the whole number by the denominator, then add the number you get to the numerator.  :) hope this was helpful!!!

Step-by-step explanation:

Answer: You have to multiply the Main number by the denominator, then add the numerator to that number, and put it above the original denominator.

Step-by-step explanation:

Marcus has a part-time job at the water park. He makes between $77.26 and $83.67 a day. Which is a reasonable amount of money that Marcus makes for working 5 days a week for 10 weeks? A. $4,202 B. $4,213 C. $4,001 D. $3,843

Answers

Answer:

c

Step-by-step explanation:

If you arrange the like terms in the same columns, you can perform addition of polynomials in ”column” form. Find the following sums:

Answers

Answer:   im going to solve it in one second

Step-by-step explanation:

Use the Distributive Property to rewrite the the expression -6 (r-8)

Answers

-6r+48

Step-by-step explanation:

What is the equation of the line in slope-intercept form?
y = x –
y = x +
y = x –
y = x +

Answers

Answer:

Step-by-step explanation:

All of the answer choices are in slope-intercept form.

The slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Answer:

B

Step-by-step explanation:

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What is one purpose for writing nonfiction text about historical events and issues?Select one:a. Nonfiction histories are more widely read than fictional narratives.b. Describing and analyzing history helps us learn from the past.c. Nonfiction texts about history cause readers to doubt historical events.d. History texts can predict future occurrences with great accuracy.Which skill is most useful when writing expository texts about historical events?Select one:a. comparing and contrasting beliefs of the past and presentb. using the first-person point of view to sound like an authorityc. gathering material from primary and/or secondary sourcesd. taking a stand on an issue related to the historical eventWhat is the most appropriate point of view for narrating or describing a historical event?Select one:a. first-person point of viewb. second-person point of viewc. third-person point of viewd. shifting points of viewWhich sentence best describes the purpose of a historical essays conclusion?Select one:a. to persuade the reader to view the event differentlyb. to describe the historical event in detailc. to explain the significance of the historical event or issued. to make judgments about the present based on the past How do u say u have to go to the supermarket and by groceries in German? What BEST describes the ethical consideration that comes into play when soliciting referrals from current clients? A farmer uses a lot of fertilizer to grow his crops. The farmers manager thinks fertilizer products from distributor A contain more of the nitrogen that his plants need than distributor Bs fertilizer does. He takes two independent samples of four batches of fertilizer from each distributor and measures the amount of nitrogen in each batch. Fertilizer from distributor A contained 23 pounds per batch and fertilizer from distributor B contained 18 pounds per batch. Suppose the population standard deviation for distributor A and distributor B is four pounds per batch and five pounds per batch, respectively. Assume the distribution of nitrogen in fertilizer is normally distributed. Let 1and 2 represent the average amount of nitrogen per batch for fertilizers A and B, respectively. Which of the following is the appropriate conclusion at the 5% significance level? The test statistic calculated in Excel with these data is 1.5617. the local music activities coordinator sold 300 tickets to the orchestra concert. student tickets were $4 and adult tickets were $6. if the total sales were $1,600 how many student tickets were sold How is volume calculated given mass and density? (1 point) Question 8 options: 1) Sum of mass and density 2) Mass divided by density 3) Mass multiplied by density 4) Difference of mass and density Mary is in contract negotiations with a publishing house for her new novel. She has two options. She may be paid $100,000 up front, and receive royalties that are expected to total $26,000 at the end of each of the next five years. Alternatively, she can receive $200,000 up front and no royalties. Which of the following investment rules would indicate that she should take the former deal, given a discount rate of 8%?Rule I: The Net Present Value ruleRule II: The Payback Rule with a payback period of two yearsRule III: The internal rate of return (IRR) RuleA) Rule II and IIIB) Rule I and IIC) Rule III onlyD) Rule I only A football team loses a total of 12 yards in 4 plays. On average how many yards did the team move the ball per play? Item 13 After winning a prize in a speaking contest, Zitkala-Sa feels a moment of triumph, but this is followed by feelings of __ Which is a characteristic of the takeoff stage of Rostow's Five Stages of Economic Growth? A) The population as a whole has its basic needs met and enjoys a high standard of living focused on consumer goods. B) The labor of a country is unskilled and focuses on agricultural production, animal husbandry, and the harvesting of timber. C)Advancements in technology require a skilled tabor force competent in electronics, medicine, and engineering D) A country begins to grow rapidly and new industries start to emerge that drive further economic development Select the name(s) that the people who opposed the purchase of Alaska gave the new territory.A. Sewards treasure B. Sewards folly C. Sewards icebox D. Russias gift Match each word to its meaningThe Secret Garden On October 1, 2021, Oberley Corporation loans one of its employees $27,000 and accepts a 12-month, 10% note receivable.Calculate the amount of interest revenue Oberley will recognize in 2021 and 2022. Nour and Rana are shopping for a Christmas tree. They are deciding between 2 different types of trees (real and fake) and 4 colors for the ornaments (white, silver, gold, and purple). They each created a display to represent the sample space of randomly picking a type of tree and a color for the ornaments. Which option for drinking water uses the fewest resources from theenvironment if it is used many times?A. Tap water out of a plastic cupB. Bottled water out of a plastic bottlec. Bottled water out of a steel battleD. Tap water out of a steel bottle Devin inveated $750 in a CD that pays 6% simple interest, calculated quarterly. How much money will Devin earn in 3 years? Describe the quantization of energy at the atomic level Steam Workshop Downloader