the consecutive odd integers have a sum of 36. find the integers

Answers

Answer 1

how many consecutive odd integers are there, or else I can't help you

Answer 2
Answer:  17 and 19

==================================================

Work Shown:

x = some integer

2x = even integer

2x+1 = odd integer

(2x+1)+2 = 2x+3 = odd integer just after 2x+1

The integers 2x+1 and 2x+3 add to 36

(2x+1)+(2x+3) = 36

2x+2x+1+3 = 36

4x+4 = 36

4x+4-4 = 36-4 ... subtract 4 from both sides

4x = 32

4x/4 = 32/4 .... divide both sides by 4

x = 8

With x = 8, we can say

2x+1 = 2*8+1 = 17 is the first odd integer

2x+3 = 2*8+3 = 19 is the next odd integer

17+19 = 36, so the answer is confirmed

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

A non-algebraic way to get the answer is to divide 36 in half to get 18

Then try odd integers around 18, so 19+21 = 40 but thats too high

then maybe try 15+17 = 32, thats too low

17+19 = 36 is right on the money


Related Questions

round 7,834 to the nearest hundred​

Answers

Answer:

7,800

Step-by-step explanation:

Because the 3 goes down.

Brian borrowed a 20 foot extension ladder to use when he paints hes house. If he sets the base of the ladder 6 feet from the house, as shown below, how far up will the top of the ladder reach?round to one decimal place.

Answers

Answer:

It is 20.9feet

Step-by-step explanation:

Answer:19.1

Step-by-step explanation:

Write 6,219 in expanded
form.

Answers

Answer: 6000+200+10+9

Step-by-step explanation:

The ones place multiplies by 1 so 9*1=9

The tens place multiplies by 10 so 10*1=10

The hundreds place multiply by 100 so 100+2=100

The thousands place multiply by 1000 so 1000*6=6000

Hope This Helps!!!

6000+200+10+9=6219 expanded

sharon rives 30 mi at 60 mi/h and 60 mi at 30 m/h. what is sharons average speed, in miles per hour, for the whole trip ?

Answers

Answer: 45mph

Step-by-step explanation: to solve this, all you have to do is add all of your data, and divide it by the number amount of data you have

Answer:

36 miles per hour

90miles/2.5hr = 36

Hey yall It's been a while Wassup but da question is : What term best describes 3x+5 . If u dont know da answer dont waste my time typin junk dat dont make sense

Answers

Hi. Your answer would be 5/3. This is because 3x+5=0, you’d move -5 on both sides, divide 3 on both sides, and get x=5/3. Hope this helps!

what is the equation of the line that passes through (1,5) and (-2,14) in slope intercept form

Answers

Answer: y = -3x + 8

Step-by-step explanation:

The formula for finding equation of line when two points are given is :

[tex]\frac{y-y_{1}}{x-x_{1}}[/tex] = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]x_{1}[/tex] = 1

[tex]x_{2}[/tex] = -2

[tex]y_{1}[/tex] = 5

[tex]y_{2}[/tex] = 14

Substituting the values , we have

[tex]\frac{y-5}{x-1}[/tex] = [tex]\frac{14-5}{-2-1}[/tex]

[tex]\frac{y-5}{x-1}[/tex] = [tex]\frac{9}{-3}[/tex]

[tex]\frac{y-5}{x-1}[/tex] = [tex]\frac{-3}{1}[/tex]

y-5 = -3(x-1)

y -5 = -3x + 3

writing the equation in slope - intercept form , we will make y the subject of the formula:

y = -3x + 3 + 5

y = -3x + 8

what fractions are less than and greater than 1/2

Answers

Answer:

Less than:  1/4, 1/8, 1/16,...

Greater than: 5/8, 3/4, 1,...

Hope this helps :)

I will mark free Brainlyest and free point if answered correctly.


How good is Pizza to you? And what is 8/2?

Answers

Answer:

Pizza is pretty good tbh. Also the answer is 4.

Answer:

Pizza is great

Step-by-step explanation:

And 8/2 is 4. Pls mark brainliest thx! :)

Stefan sells Jin a bicycle for ​$140 and a helmet for ​$16. The total cost for Jin is 130​% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Final answer:

Stefan spent $120 originally to buy the bike and helmet and made $36 by selling them to Jin.

Explanation:

To find out how much Stefan spent originally, we need to divide the total cost for Jin by 130%.

Let's call the original amount x.

Jin's total cost is 130% of x, which can be expressed as 1.3x.

We know that the total cost for Jin is $140 for the bike + $16 for the helmet = $156.

So we have the equation 1.3x = $156. To solve for x, divide both sides of the equation by 1.3. x = $156 / 1.3 = $120.

Therefore, Stefan spent $120 originally to buy the bike and helmet.

To find out how much money Stefan made by selling the bike and helmet, we subtract the original amount spent from the total cost for Jin.

Money made = $156 - $120 = $36.

Write the equation of a line that contains (2,-4) and that is perpendicular to y=2/3x+2

Answers

Answer:

y = - [tex]\frac{3}{2}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{3}[/tex] x + 2 ← is in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex], thus

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, - 4) into the partial equation

- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1

y = - [tex]\frac{3}{2}[/tex] x - 1 ← equation of perpendicular line

What is 2,731 divided by 31 with a remainder

Answers

Answer:?

Step-by-step explanation:

not sure..

the sum of the 5th term of the 7th term of an ap is 52 and the 10th term is 46 find the AP​

Answers

Answer:

The AP is, 1 , 6, 11, 16, 21, 26, 31, .....................

Step-by-step explanation:

From the question;

Sum of fifth term and 7th term is 52 That is; 5th term + 7th term = 5210th term is 46

We are required to find the AP;

We need to know that in an AP ;

nth term = a + (n-1) d , where a is the first term and d is the common difference

Therefore, In this case;

5th term = a + 4d

7th term = a + 6d

Therefore;

5th term + 7th term = 2a + 10d = 52  ..........eqn 1

10th term = a + 9d

Thus, a + 9d = 46 ............. eqn 2We can solve eqn 1 and eqn 2 simultaneously to get the value of a and d

2a + 10d = 52

a + 9d = 46

Multiplying the second equation by 2, we get;

2a + 10d = 52

2a + 18d = 92

Eliminating a by subtracting the two equations; we get;

-8d = -40

   d = 5

Solving for a

a + 9d = 46

   a = 46 - 9d

      = 46 - 9(5)

      = 46 - 45

   a  = 1

Thus, the first term, a= 1 and the common difference, d= 5

Therefore;

First term = a = 1

Second term = a + d = 1 + 5 = 6

Third term = a + 2d = 1 + 2(5) = 11

Fourth term = a + 3d = 1 + 3(5) =16

Fifth term = a + 4d = 1 + 4(5) = 21

Sixth term = 1 + 5d = 1 + 5(5) = 26

Seventh term = 1 + 6d = 1 + 6(5) = 31

Thus,

The AP is, 1 , 6, 11, 16, 21, 26, 31, .....................

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. The oil change for one car required 5 quarts of oil and cost $24.80. The oil change for the other car required 7 quarts of oil and cost $29.30. How much is the labor fee and how much is each quart of oil?

Answers

The labor fee is $13.55 and each quart of oil is $2.25

Step-by-step explanation:

Let,

x be the amount of each quart of oil

y be the amount of labor fee

According to given statement;

5x+y=24.80        Eqn 1

7x+y=29.30        Eqn 2

Subtracting Eqn 1 from Eqn 2

[tex](7x+y)-(5x+y)=29.30-24.80\\7x+y-5x-y=4.50\\2x=4.50[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{4.50}{2}\\x=2.25[/tex]

Putting x=2.25 in Eqn 1

[tex]5(2.25)+y=24.80\\11.25+y=24.80\\y=24.80-11.25\\y=13.55[/tex]

The labor fee is $13.55 and each quart of oil is $2.25

Keywords: linear equation, subtraction

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Mary just got a new job at Justice. She makes $10 an hour plus 4% commission on her sales. If she worked 6 hours
on Saturday and did $350 in sales how much did she make for the day?

Answers

Answer:
$74

Explanation:
10•6+350•1,04= 60+ 14=$74

Answer: $74

Step-by-step explanation:

cost for an hour = $10

since she worked for 6 hours , this means that she made $(6x10) = $60

Also , she made 4% commission on her sale and she sold $350 , this means that she made 4% of 350 =$14

Therefore: she made $ 60 + $14 for the day. Thai is , she made $74 for the day

A submarine hovers at 66 and two-thirds yards below sea level. If it ascends 24 and StartFraction 1 over 8 EndFraction yards and then descends 78 and three-fourths yards, what is the submarine’s new position, in yards, with respect to sea level? Negative 169 and StartFraction 13 over 24 EndFraction Negative 121 and StartFraction 7 over 24 EndFraction Negative 12 and StartFraction 1 over 24 EndFraction 12 and StartFraction 1 over 24 EndFraction

Answers

A submarine hovers at 66 and 2/3 yards below sea level. If it ascends 24 and 1/8 yards and then descends again 78 and 3/4 yards, what is the submarine’s new position, in yards, below sea level?

Answer:

The submarine's new position is [tex]-121\frac{7}{24}\text{ yards}[/tex] below sea level.

Solution:

Given that a submarine hovers at [tex]66\frac{2}{3}[/tex] yards below sea level. This means that the position of submarine is negative

Therefore, we get [tex]-66\frac{2}{3}[/tex]

Also given that it ascend [tex]24\frac{1}{8}[/tex] yards

So we have to add [tex]-66\frac{2}{3}[/tex] and [tex]24\frac{1}{8}[/tex]

[tex]\rightarrow -66\frac{2}{3} + 24\frac{1}{8}\\\\\text{Convert mixed fractions to improper fractions }\\\\\rightarrow -\frac{66 \times 3+2}{3} + \frac{24 \times 8+1}{8} = \frac{-200}{3} + \frac{193}{8}\\\\\rightarrow \frac{-200 \times 8}{3 \times 8} + \frac{193 \times 3}{8 \times 3}\\\\\text{Simplify the above expression }\\\\\rightarrow \frac{-1600}{24} + \frac{579}{24} = \frac{-1021}{24}[/tex]

The submarine descends again 78 and 3/4 yards

This means we need to subtract [tex]-78\frac{3}{4}\text{ yards from } -\frac{1021}{24}\text{ yards}[/tex]

[tex]\rightarrow \frac{-1021}{24} -(78\frac{3}{4})\\\\\rightarrow \frac{-1021}{24} - \frac{78 \times 4 + 3}{4}\\\\\rightarrow \frac{-1021}{24} - \frac{315}{4} = \frac{-1021}{24} - \frac{315 \times 6}{4 \times 6}\\\\\rightarrow \frac{-1021 -1890}{24} = \frac{-2911}{24}\\\\\text{Simplify the expression }\\\\\rightarrow \frac{-2911}{24} = -121\frac{7}{24}[/tex]

Therefore, the submarine's new position is [tex]-121\frac{7}{24}\text{ yards}[/tex] below sea level.

Answer:

The answer-121 and 7/24

Hope this helps

:D

If I'm wrong sorry

And sorry that I'm super late

YOU WILL BRAINLIST ALSO 47 POINTS!!!
1. It takes 1 banana and 3 scoops of ice cream to make a banana split. If an ice cream shop scooped 42 scoops of ice cream into banana splits, how many bananas did they use? [Type your answer as a number.]
a0 bananas ___

2. At an amusement park, Corey spends 7 minutes on a ride for every 20 minutes he spends waiting in lines. If he waits in line for 60 minutes, how many minutes does he spend on rides? [Type your answer as a number.]
a0 minutes __

3. A zoo has 3 mammals for every 5 reptiles. If the zoo has 72 mammals, how many reptiles does it have? [Type your answer as a number.] __

Answers

Answer:

Please Mark Brainliest!

Step-by-step explanation:

i think it would be 14 bananas if u take 3 divided by 42

hope that is right.

he rides for 7 min and waits in line for 20 min, if he was to wait in line for 60 min then he would ride for 21 min, if you divide 20/60 then you'll get 3. Multiply the 7 with that 3 and you'll get "21".

120

When 238 is divided by the natural number n, the quotient is 3 more than n, and there is no remainder. What is n?

Answers

Answer:

n = 14

Step-by-step explanation:

Write the equation in algebraic (numbers and symbols) form

[tex]\frac{238}{n}[/tex] = n + 3              Rearrange the equation

[tex]n\frac{238}{n}[/tex] = n(n + 3)           Multiply both sides by 'n'

238 = n(n + 3)          On the left, multiplying and dividing by 'n' cancels out

238 = n² + 3n           Distributed right side

0 = n² + 3n - 238        Rearranged to standard form for quadratic equations

Remember standard form for quadratic equations is: ax² + bx + c = 0

State the variables a, b and c:

a = 1; b = 3; c = -238

When a quadratic equation is in standard form, you can use the quadratic formula to solve for 'n'. (Usually, you see the variable 'x', but the quadratic formula can solve for 'n' as if it is 'x', as long as it's in standard form.)

[tex]n = \frac{-b±\sqrt{b^{2}-4ac}}{2a}[/tex]  (ignore the Â, it's a formatting error)

[tex]n = \frac{-(3)±\sqrt{(3)^{2}-4(1)(-238)}}{2(1)}[/tex]  Substitute the values for 'a', 'b' and 'c' from the equation

[tex]n = \frac{-3±\sqrt{9-(-952)}}{2}[/tex]     In the root, two negatives make a positive

[tex]n = \frac{-3±\sqrt{9+952}}{2}[/tex]     Add inside the root

[tex]n = \frac{-3±\sqrt{961}}{2}[/tex]       Find the square root of 961

[tex]n = \frac{-3±{31}{2}[/tex]     Split the equation at the ±

Split for adding:

[tex]n = \frac{-3+31}{2}[/tex]    Simplify

n = 14

Split for subtracting:

[tex]n = \frac{-3-31}{2}[/tex]      Simplify

n = -17

You get the answers 14 and -17 for 'n'. Decide which one is 'inadmissible', meaning it can't be right even if it solves the equation.

The problem says 'n' is a natural number. Natural numbers are all non-partial numbers count up from 1. (Non-partial means as a fraction, they are reduced to a number over 1). Since -17 is less than 1, it is inadmissible because it is not a natural number.

Therefore, 'n' is 14.

Simplify: 18³×18²×18³

Answers

18 to the 8th power

Answer:

18 to the 8th power

Step-by-step explanation:

18 + 2 + 3 + 3

What is 321 in standard and expanded form

Answers

Answer:

321 300 20 1

Step-by-step explanation:

In written for: Three hundred twenty-one

Expanded form: 300 + 20 + 1

Standard form: 321

Fraction form: 321/1

Decimal form: 321.00

If Damian is able to read 80 pages in 2 hours how long does it take for him to reach each page

Answers

Answer:

Step-by-step explanation:

If he reads 80 pages in 2 hours, that means he reads 80 pages in 120 minutes. 80 pages/120 minutes simplifies to 2 pages/3 minutes. It also means it takes him 1 and a half minutes to read each page.

The width of a photograph is 4 centimeters more than three tenths of the length. If the width is 13 centimeters, what’s the length?

Answers

Answer:

30 centimeters

Step-by-step explanation:

since the width is 4 centimeters more than 3/10 of the length, then 13 is 4 centimeters more than 3/10 of the length. 4 less than 13 is 9, so nine is 3/10 of the length. if 9 is 3/10, then 3 is 1/10 because 3/10 is three times 1/10. If 3 is 1/10, that means that 30 is the length because 1/10 multiplied by 10 is 10 tenths, or 1.

Please help! Also, show work, please!

Answers

if each person had to run 1/25 of a mile then you would need to have 5 people per team. it takes 5/25 to equal 1/5. So your answer is 5!!

Hope this helps! :)

25. Belle had the choice of taking out a 4-year car loan at
8.5% simple interest or a 5-year car loan at 7.75%
simple interest. If she borrows $15,000, how much
interest would she pay for each loan? Which option
will require less interest?

Answers

Answer:

the first loan is cheaper

Step-by-step explanation:

convert percent values to decimals

8.5/100=.085

7.75/100=.0775

find the value for the first loan

1550*.085*4=527

find the value for the first loan

1550*.0775*5=600.625

compare

Final answer:

Belle would pay $5100 in interest for the 4-year loan at 8.5% and $5812.50 for the 5-year loan at 7.75%. Therefore, less interest would be paid with the 4-year loan.

Explanation:

To calculate the simple interest, we use the formula I = P*R*T, where P is the principal amount, R is the interest rate, and T is the time in years.

For the 4-year loan at 8.5%, interest would be: I = $15,000 * 8.5/100 * 4 = $5100

For the 5-year loan at 7.75%, interest would be: I = $15,000 * 7.75/100 * 5 = $5,812.50.

So, the 4-year loan at 8.5% will require less interest payment.

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How do we solve for “p”, when
P= 75 + 45h

Answers

Answer:

See below.

Step-by-step explanation:

The equation is already solved for p.

p = 75 + 45h

Final answer:

To solve for the fluid density 'p', use the hydrostatic pressure formula P = pgh. By rearranging the formula to p = P / (gh) and inputting the known values for P (atmospheric pressure) and h (height of the water column), the density can be calculated.

Explanation:

To solve for density 'p' when given the equation P = 75 + 45h, where P represents atmospheric pressure and h is the height of a column of fluid, we need to incorporate the concept of hydrostatic pressure. The formula for hydrostatic pressure is P = pgh, where 'p' is the fluid density, 'g' is the acceleration due to gravity, and 'h' is the height of the fluid column. If we know the value of 'P' and the value of 'h', we can isolate 'p' by rearranging the equation to p = P / (gh). This calculation assumes that 'g', the acceleration due to gravity, is a known constant.

Let's assume 'P' is given as 1.00 atm (standard atmospheric pressure) for a water column which is the fluid we're working with. The density 'p' of water that creates this pressure can be calculated by inserting the known values into the expression for 'h'. For instance, if 'h' is 10 meters, the equation would be p = 1.00 atm / (9.81 m/s² × 10 m). To get 'p' in appropriate units, we would convert atm to pascals, and the result will provide the density in kg/m³.

A saleswoman earns 20% commission on all the merchandise that she sells . Last month she sold $800 worth of merchandise . How much commission (in dollars) did she earn last month ?

Answers

Answer:

160

Step-by-step explanation:

20 percent of 800 is 160

Final answer:

The saleswoman earned a commission of $160 last month from selling $800 worth of merchandise, given that her commission rate was 20%.

Explanation:

The subject of your question lies in the domain of Mathematics, specifically, a concept taught in Middle School known as percentages. In this case, we're tasked with finding out how much commission a saleswoman earned by selling $800 worth of merchandise, given that she earns a 20% commission on all items sold.

The process for calculating this is straightforward. You multiply the total amount of the sold merchandise by the percentage commission to find out the amount earned. In mathematical form:

Total commission earned = Total amount of items sold * Commission Rate

Substitute the given values into this equation:

Total commission earned = $800 * 20%

To convert the percentage to a decimal, you divide by 100, thus, 20% = 20/100 = 0.2

Hence, Total commission earned = $800 * 0.2 = $160

Therefore, the saleswoman earned a commission of $160 last month from selling the merchandise.

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What is are if a rectangle of length of 5 and width of 3x-5y+6What is the area of a rectangle with a length of 5 and a width of 3x-5y+6

Answers

The area of rectangle is 15x - 25y + 30 sqaure units

Solution:

Given that, a rectangle with a length of 5 and a width of 3x - 5y + 6

To find: Area of rectangle

The area of rectangle is given by formula:

[tex]Area = length \times width[/tex]

From given,

Length = 5

Width = 3x - 5y + 6

Substituting the values in formula, we get,

[tex]Area = 5 \times (3x - 5y + 6)\\\\\text{Multiply 5 with each term inside the bracket }\\\\Area = 5(3x) -(5)(5y) +5(6)\\\\\text{Simplify the above expression }\\\\Area = 15x -25y + 30[/tex]

Thus area of rectangle is 15x - 25y + 30 sqaure units

4/5 is greater than less then or equal to 1/2

Answers

Greater Than!

First make the denominator (the bottom number) the same for both fractions. So you can multiply the 1/2 by 5 and the 4/5 by 2.

This will make them 5/10 and 8/10.

Then, you see that 8/10 (4/5) is greater than 5/10 (1/2)

Hope that’s makes sense! :)

Final answer:

The fraction 4/5 is greater than 1/2. This conclusion can be reached by converting the fractions to decimal form, where 4/5 becomes 0.8 and 1/2 becomes 0.5, highlighting that 0.8 is indeed greater than 0.5.

Explanation:

The question is whether the fractional value of 4/5 is greater than, less than, or equal to 1/2. To compare these fractions, it may be helpful to first convert them to decimal form, as this is often easier to understand than comparing fractions directly. 4/5 as a decimal is 0.8 and 1/2 as a decimal is 0.5. Hence, 0.8 is greater than 0.5. Therefore, 4/5 is greater than 1/2.

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The green goober a wildly unpopular hero mixes 3 L of yellow paint was 5 L of blue plate to make a leader is a special green paint for his costume right in equation that relate to why the amount of yellow paint and leaders and be the amount of blue paint in liters needed to make the green goobers special green paint

Answers

Answer:

The equation can be y = 3b/5 or b = 5y/3

Correct statement and question:

The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.  

Write an equation that relates the amounts (in liters) of yellow paint (y) and blue paint (b) needed to make the Green Goober's special green paint.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Let y to be the amount of liters of yellow paint needed to make the Green Goober's special green paint.

Let b to be the amount of liters of blue paint needed to make the Green Goober's special green paint.

We know that:

y:b = 3:5

Therefore,

5y = 3b, dividing by 5 at both sides we have:

y = 3b/5

And also dividing by 3 at both sides we have:

b = 5y/3

Both equations relate the amounts (in liters) of yellow paint and blue paint needed to make the Green Goober's special green paint.

A total of $30,000 is invested in two corporate bonds that pay 5.5% and 6.25% simple interest. the investor wants an annual interest income of %1800 from the investments. what is the most that can be invested in the 5,5% bond?

Answers

Answer:

  $10,000

Step-by-step explanation:

Let x represent the amount invested in the 5.5% bond.

For an annual income of $1800, we want ...

  (5.5%)x + (6.25%)(30,000-x) = 1800

  (-0.75%)x + 1875 = 1800

  -0.0075x = -75 . . . . . . . . . subtract 1875

  x = 10,000 . . . . . . . . . . . . . divide by -0.0075

At most $10,000 should be invested at 5.5% to obtain at least $1800 in interest.

how do you convert decimals into fractions?

Answers

Just put it over 100
Example 0.45 = 45/100
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For markets to work, the government should help citizens make the right decisions. c. For markets to work, people must be free to pursue their self-interest. d. For markets to work, people and the government need to coordinate their decisions. 2. T/F. Chromosomes are replicated a second time just prior to the start of Meiosis II. As leaders and advocates, professional school counselors need to re-examine professional roles and think Dave's Duds reported cost of goods sold of $1,300,000 this year. The inventory account increased by $170,000 during the year to an ending balance of $495,000. What was the cost of merchandise that Dave's purchased during the year?A. $3,445,000.B. $2,750,000.C. $2,355,000.D. $3,050,000. Particles in 2.15 moles of gold The handford high school basketball team scored 79, 68, 86, 91 and 72 points in their first five games. What was the average number of points scored in these five games? "A researcher wants to determine if consuming oatmeal regularly reduces the level of bad cholesterol. She finds 120 adults over the age of 40 who regularly consume oatmeal in their daily diets, and she matches each one with a similar adult who does not regularly eat oatmeal as part of their daily diet. She measures the levels of bad cholesterol for each adult for 6 months and compares the results" what type of study is this? Is Copper (II) Sulphate soluble in water? Please explain your answer. Thank youuuu A Treasury bill has a face value of 100K, 119 days to maturity, and is selling for $90 thousand. What is the effective annual yield on this bill? Enter answer in percents, accurate to two decimal places. Anthropological research illustrates that people make a religious tradition come alive in their own context through local expressions and adaptations. Which of the following is an example of this What does an antigen presenting cell encounter that allows the activation of both the humoral response and the cell mediated response in your immune system? The comprehensive doctrine of air warfare supported the conclusion that high-altitude, daylight bombing of an enemy's war-supporting industries and transportation systems could win a war. True or false? An energy company is seeking to build a pipeline across multiple Canadian provinces and U.S. states. Though __________________ managers identify the people interested in the company's activities and prioritize them by their impact on and interest in the pipeline project. In certain parts of the world, at certain times, a remarkable light display appears in the night sky. Aurora borealis is its scientific name; since it occurs in the Northern Hemisphere, this phenomenon is more commonly known as the northern lights. The northern lights occur when electromagnetically charged particles from the sun are pulled toward Earth's two magnetic poles, in the North and the South. This causes molecules in the air to glow. The northern lights take various forms, including rays, arcs, bands, and patches of light. The lights appear in striking and beautiful shaded of red, blue, green, yellow, and violet. The farther north they appear, the brighter they are. While you could easily find a picture or a video of the northern lights, you would have to see them for yourself to truly appreciate them.What is the BEST summary of paragraph 2?Group of answer choicesThe northern lights have many forms, including bands and rays, and they have striking colors that look beautiful in pictures.The northern lights appear in shades of red, green, violet, yellow, and blue.In order to truly appreciate the beauty of the northern lights, people should see them in person.The northern lights appear in a variety of forms and beautiful colors. a.The James-Lange theory of emotion states that a cognitive experiences of emotion determine the extent of our physiological arousal. b to experience emotion is to be aware of our physiological responses to an emotion-arousing event. c the expression of emotion reduces our level of physiological arousal. d to experience emotion we must be physically aroused and able to cognitively label the emotion. e an emotion-arousing stimulus simultaneously triggers both physiological arousal and the subjective experience of emotion. Incan priests were often aided by what to heal people?an assistant who lit the incensesurgeons who could perform successful bone transplantshealing ceremonieschieftains who calmed anxious patients What is the arc length of the semicircle Steam Workshop Downloader