Nathan hit 19 homeruns. He scored 3 fewer homeruns than twice the number of homeruns hit by jason. Write and solve an equation to show how many homeruns Jason hit

Answers

Answer 1

Jason hit 11 homeruns.

Step-by-step explanation:

Homeruns hit by Nathan = 19

Let,

Homeruns hit by Nathan = x

Homerun hit by Jason = y

According to given statement;

x = 2y - 3   Eqn 1

We know that Nathan hit 19 homeruns, therefore, putting x=19 in Eqn 1

[tex]19=2y-3\\19+3=2y\\22=2y\\2y=22[/tex]

Dividing both sides by 2;

[tex]\frac{2y}{2}=\frac{22}{2}\\y=11[/tex]

Jason hit 11 homeruns.

Keywords: linear equations, addition

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Related Questions

Students at a high school were polled regarding whether or not they would like to change the vending options at the school. Use the tree diagram to determine how many students responded “yes”.
A. 250
B. 550
C.750
D.450

Answers

A total of 750 students responded yes.

As it is given in the tree diagram that is lower there was a total of 450 students who responded yes.

Now, in upper there were a total of 400 students of which 100 students responded no which means (400-100), students responded yes i.e., a total of 300 students responded yes.

So,  upper+lower responses of yes will be total responses of students as yes.

So, a total of 300+450=750  students responded yes.

Hence, 750 students responded yes.

Therefore, option C is the correct answer.

What is meaning of the respond?

1 : to say something in return : make an answer respond to criticism. 2a : to react in response responded to a call for help. b : to show favorable reaction respond to surgery. 3 : to be answerable respond in damages.

What are examples of respond?

Respond is defined as to answer or reply or to act in return. An example of to respond is to answer a question in class. An example of to respond is for an ambulance to rush to the scene of an accident after a phone call requesting their service. (intransitive) To say something in return; to answer; to reply.

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Solve for x.
7x + 14 – 2x = −x + 12 – x − 19

A. x = −3
B. x = −1
C. x = 1
D. x = 3

Answers

Answer:

x=-3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A

A.K.A – 3.

Step-by-step explanation:

on a field trip the ratio of students who brought a water bottle to those who didnt was 7 to 4. If 60 students did not bring a water bottle, determine the total number of studens on the field trip​

Answers

We have to determine a ratio that is equivalent to 7:4. We already know that 60 students didn’t bring a water bottle. So in order to determine the conversion, we divide 60 by 4 to get 15. Now that we know how to produce the ratio we must determine, we can multiply 15 by 7 as well (number of students who brought a water bottle) and get 105. Now all we have to do is add these up 105+60 is 165 total students:)

Can anyone help solve this equation?

Answers

Answer:

13

Step-by-step explanation:

3 x 3 = 9

7 + 3 = 10

7 + ? = 3 + 7 + 3 + 7

7 + ? = 20

? = 13

Answer:

13

Step-by-step explanation:

[tex]p\times p=9\\\\p^2=9\to p=\sqrt9\to \boxed{p=3}\\\\c+p=10\qquad\text{put the value of}\ p\\\\c+3=10\qquad\text{subtract 3 from both sides}\\\\\boxed{c=7}\\\\c+s=p+c+p+c\qquad\text{put the values of}\ p\ \text{and}\ c\\\\7+s=3+7+3+7\\\\7+s=20\qquad\text{subtract 7 from both sides}\\\\\boxed{s=13}[/tex]

In a psychological experiment, a person is able to memorize M words in t minutes, where M= -0.001t^3 + 0.1t^2. Find the average rate of change in the number of words a person can memorize between 10 minutes and 20 minutes

Answers

I think it’s 80085 bc you have to power it to the 43110

Boxes of different sizes are stacked to create a small sculpture. The openings of the boxes are all similar rectangles. The bottom edge of the smallest rectangular opening 3 centimeters, while the bottom edge of the largest rectangular opening is 9 centimeters. The perimeter of the smallest rectangular opening is 15 centimeters What is the perimeter of the largest rectangular opening?

I’ll put you as brainliest
A) 90 cm
B)42cm
C) 45 cm

Answers

Answer:

I believe C)45cm but I know for sure its not B)42cm

Step-by-step explanation:

A jar contains a mixture of 10 black balls, 8 red balls, and 2 white balls all the same size. What is the probability of
drawing either a red, black, or white ball in one draw?

Answers

Answer:

black balls: 10/20 or 1/2

red balls :8/20 or 2/5

white balls: 2/20 or 1/10

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

8/20 or 0.4- probability of red ball in one draw

2/20 or 0.1 - probability of white ball in one draw

10/20 or 0.5 - probability of black ball in one draw

0.4 + 0.5 + 0.1 = 1

Sorry I'm late just wanted to put the right answer!

Bryan wants to purchase a skateboard. He has $50 to spend. he finds one that regularly sells for $70.00 and is on sale for 40% off. Sales tax is 7%. Bryan says he has enough money to buy the skateboard. is he correct?

Answers

Bryan has enough to buy skateboard as it will cost $44.94

Step-by-step explanation:

Original price = $70.00

Discount = 40%

Amount of discount = 40% of original price

Amount of discount = [tex]\frac{40}{100}*70[/tex]

Amount of discount = [tex]\frac{2800}{100}[/tex]

Amount of discount = $28

Price after discount = Original price - amount of discount

[tex]Price\ after\ discount=70-28 = $42\\[/tex]

Sales tax = 7% = [tex]\frac{7}{100} = 0.07[/tex]

Sales tax amount = Price after discount (0.07)

[tex]Sales\ tax\ amount= 42(0.07) = $2.94\\[/tex]

Price of skateboard = Price after discount + sales tax

Price of skateboard = 42+2.94 = $44.94

Bryan has enough to buy skateboard as it will cost $44.94

Keywords: sales tax, subtraction

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the ratio of berries to Oranges is 10:1 if there are 25 oranges how many berries would there be​

Answers

Answer:

250 berries

Step-by-step explanation:

10 to 1 means 10 times as many berries as oranges

25x10=250

If there are 25 oranges then the number of berries would be​ 250 and this can be determined by using the arithmetic operations.

Given :

The ratio of berries to Oranges is 10:1.

The following steps can be used to determine the number of berries if there are 25 oranges:

Step 1 - Let the total number of berries be 'a' and the total number of oranges be 'b'.

Step 2 - As per the given data:

[tex]\dfrac{a}{b}=\dfrac{10}{1}[/tex]

Step 3 - If there are 25 oranges then the number of berries would be:

[tex]\dfrac{a}{25}=\dfrac{10}{1}[/tex]

[tex]a = 25\times 10[/tex]

a = 250

So, if there are 25 oranges then the number of berries would be​ 250.

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A runner finished the hundred meter race in 20 seconds. What was his speed in meters per second?

Answers

Answer:

5 meters/second

Step-by-step explanation:

100meters/20 seconds gives the average of 5 m/s

Final answer:

The runner's speed in the hundred meter race completed in 20 seconds is 5 meters per second. To calculate this, divide the total distance (100 meters) by the total time (20 seconds).

Explanation:

To calculate the speed of the runner in meters per second, we divide the distance travelled by the time it took to complete that distance. In this case, the runner completed a 100 meter race in 20 seconds. Using the formula speed = distance/time, we find that the speed is 100 meters / 20 seconds = 5 meters per second.

If the sprinter accelerates for the first 20 meters and then maintains that speed for the remainder of the 100-meter dash, we must first calculate the acceleration period's average speed. As it takes 20 seconds to run 100 meters, the speed over those 20 meters is also 5 meters per second. Once the sprinter reaches this speed at 20 meters, he will continue at this constant speed for the remaining 80 meters. Thus, the time to complete the race is the time taken to accelerate for 20 meters plus the time taken to run the remaining 80 meters at 5 m/s.

Which of the following charts showing angle measures implies that quadrilateral ABCD and quadrilateral EFGH are not congruent

Answers

Answer:

D

Step-by-step explanation:

One or more corresponding angles are not congruent.

ABC is not congruent to EFG

BCD is not congruent to FGH

CDA is not congruent to GHE

DAB is congruent to HEF

Answer: D

Step-by-step explanation:

6 Which expression is equivalent to 2x2 + 7x +4?
F
(2x - 1)(x + 4)
G
(2x + 1)(x - 4)
H
(2x + 1)(x+4)
J None of these

Answers

Answer: F. (2x – 1)(x + 4)

Step-by-step explanation:

https://socratic.org/questions/how-do-you-factor-2x-2-7x-4-1

The expression that should be equivalent to given equation is (2x – 1)(x + 4)

Given information:

The equation is [tex]2x^2 + 7x +4[/tex]

Calculation of expression:

[tex]2x^2 + 7x +4[/tex]

[tex]2x^2 +8x - x + 4\\\\2x (x + 4) - 1(x + 4)[/tex]

(2x -1 ) (x + 4)

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Please need help on this

Answers

Answer:

Culinary school because it is shorter schooling and costs less

Step-by-step explanation:

What operation must be done to both sides of the equation to solve for p- -3 7/9 = 5/6?

A) add 5/6. B) subtract 3 7/9. C) subtract 5/6. D) add 3 7/9

Answers

Given equation:  p - -3 7/9 = 5/6

When you subtract a negative number you automatically change it to adding a positive number.

p - -3 7/9 = 5/6 → p + 3 7/9 = 5/6

To isolate p in this equation we need to subtract 3 7/9 to both sides.

p + 3 7/9 - 3 7/9 = 5/6 - 3 7/9

p = -161/18

_______

Best Regards,

Wolfyy :)

Stephanie knows that don has a bunch of nickels and dimes in his pocket and that the total amount is $3.25

Answers

Answer:

The quantity of currency  in the pockets does Stephanie has is 45 nickles and 10 dims  .

Step-by-step explanation:

Given as :

The total amount of money does Stephanie have = $ 3.25

The total money is in the form of nickels and dimes

Let the number of nickels = n

And The number of dims = d

∵ we know that 20 nickles makes 1 dollar

And 10 dimes makes 1 dollar

So , in total of 3.25 dollar the number of dime and nickles be

∵ 20 nickles makes 1 dollar

∴ 45 nickles will makes [tex]\frac{1}{20}[/tex] × 45 dollar

I.e 45 nickles will makes 2.25 dollar

Now, ∵ 10 dimes will make 1 dollar

So, The total number of nickles and dimes satisfying equation

45 nickles + 10 dimes = 2.25 dollar + 1 dollar = 3.25 dollar

Hence The quantity of currency  in the pockets does Stephanie has is 45 nickles and 10 dims  . Answer

Answer:

4.40

Step-by-step explanation:

The amount of money Ivan has in his pocket is n.

Meg has $3.25 more than Ivan. Meg has $7.65.

Complete the equation that models the situation. Then, give the value of n.

$3.25

÷

+

$7.65

×

$10.90

$4.40

The table below shows the numbers of tickets sold at a movie theater on Friday.
NUMBER OF TICKETS SOLD
Day
Adult Tickets
Children's
Tickets
1,678
976
Friday
Saturday
The number of each type of ticket sold on Saturday is described below.
• Adult tickets—2 times as many as the number of adult tickets sold
on Friday
• Children's tickets-3 times as many as the number of children's
tickets sold on Friday
Complete the table above to show the numbers of tickets sold on Saturday.
What is the total number of tickets sold over these two days?

Answers

The complete table:

NUMBER OF TICKETS SOLD ON FRIDAY AND SATURDAY

Day           →    Adult    →    ChildrenFriday       →    1,678     →    976  Saturday  →    3,356    →    2,928

The total number of tickets sold over these two days is 8,938

Step-by-step explanation:

The table below shows the numbers of tickets sold at a movie theater on Friday.

NUMBER OF TICKETS SOLD

Day      →    Adult    →    ChildrenFriday  →    1,678     →    976  

The number of each type of ticket sold on Saturday is described below

Adult tickets—2 times as many as the number of adult tickets sold  on FridayChildren's tickets-3 times as many as the number of children's  tickets sold on Friday

We need to complete the table above to show the numbers of tickets sold on Saturday and find the total number of tickets sold over these two days

∵ The number of adult tickets on Saturday is 2 times as many as

   the number of adult tickets sold  on Friday

∵ The number of adult tickets on Friday = 1,678

∴ The number of adult tickets on Saturday = 2 × 1,678 = 3,356

∵ The number of children's tickets on Saturday is 3 times as many

   as the number of children's tickets sold  on Friday

∵ The number of children's tickets on Friday = 976

∴ The number of children's tickets on Saturday = 3 × 976 = 2,928

The complete table:

NUMBER OF TICKETS SOLD ON FRIDAY AND SATURDAY

Day           →    Adult     →    ChildrenFriday       →    1,678     →    976  Saturday  →    3,356    →    2,928

∵ Adult tickets sold over the 2 days = 1,678 + 3,356 = 5,034

∵ Children's tickets sold over the 2 days = 976 + 2,928 = 3,904

∴ The total tickets sold over the 2 days = 5,034 + 3,904 = 8,938

The total number of tickets sold over these two days is 8,938

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Isosceles JAM has convex angle M. JM=35,MA=4n+3, angle J=14w-1, and angle m=98 Find n. Find w. Find the perimeter of JAM

Answers

Answer:

n = 8, w = 3 and perimeter = 122.83 units.

Step-by-step explanation:

Let the angle M is the angle between the equal sides of isosceles JAM.

So, JM = MA

35 = 4n + 3

⇒ 4n = 32

n = 8 (Answer)

Now, if ∠ J = 14w - 1 and ∠ M = 98°, then

2(14w - 1) + 98 = 180

⇒ 2(14w - 1) = 82

⇒ 14w - 1 = 41

w = 3 (Answer)

Now, draw a perpendicular bisector on JA from vertex M and it meets JA at P say.

So, Δ MPJ will be a right triangle with ∠ J = (14w - 1) = 41° {Since w = 3}

Hence, [tex]\cos 41 = \frac{JP}{JM} = \frac{JP}{35}[/tex]

JP = 35 cos 41 = 26.415

So, JA = 2 × JP = 52.83  

So, the perimeter of Δ JAM is = 35 × 2 + 52.83 = 122.83 units (Answer)

how do you find x in y=4x+6

Answers

Answer:

impossible!

Step-by-step explanation:

There is no solution! 0=0

Answer:

x = (y/4) - (3/2)

Step-by-step explanation:

y=4x+6  (subtract 6 from both sides)

y - 6 = 4x (divide both sides by 4 and rearrange)

x = (y-6) / 4

x = (y/4) - (6/4)

x = (y/4) - (3/2)

To perform car maintenance, a mechanic
charges for parts and $45 an hour for
labor. The total cost that Terri spent for
2 hour of car maintenance is $125.
Assume the relationship is linear. Find
and interpret the rate of change and the
initial value​

Answers

Answer:

C = 35 + 45h

In the equation above $35 is the initial value which interprets the cost for motor parts and $45/hour is the rate of charge of the mechanic per hour.

Step-by-step explanation:

Charges for parts and $45 per hour for  labor that takes a mechanic for maintenance of a car.

It costs $125 as Terri spent 2 hours for car maintenance.

Since the function is linear, so we can write  

125 = 45 × 2 + x {Where x is the charges for parts}

x = 35

Therefore, the equation that models the situation is given by  

C = 35 + 45h ......... (1)

where C is the total cost and h is the number of hours.

Here, in equation (1) $35 is the initial value that interprets the cost for parts and $45/hour is the rate of charge of the mechanic per hour. (Answer)

3 11/16 into a decimal

Answers

Answer:

3.6875

Step-by-step explanation:

Answer:

3.6875

Step-by-step explanation:

First, let's leave 3 alone since its a whole number. So now we're dividing the actual fraction. Remember that the top dog goes under, which means that the place where the numerator goes is where the dividend should be, and the denominator is where the divisor should be. Add a decimal point and then after that a few zeros to the 11. Divide like a decimal. You should get 0.6875. Now take that 3 that we left alone before and add it, so you should get 3.6875.

PLEASE HELP ME

I REALLY NEED IT

ITS DUE TODAY

PLEASE

Answers

Answer:

[tex]A=16\pi\ units^{2}[/tex]

[tex]A=50.24\ units^{2}[/tex]

Step-by-step explanation:

we know that

The shape of the figure is a quarter of circle

so

The area of the figure is equal to the area of a circle divided by 4

[tex]A=\frac{1}{4}\pi r^{2}[/tex]

we have

[tex]r=8\ units[/tex]

substitute

[tex]A=\frac{1}{4}\pi (8)^{2}[/tex]

[tex]A=16\pi\ units^{2}[/tex] ----> exact answer

assume

[tex]\pi =3.14[/tex]

[tex]A=16(3.14)=50.24\ units^{2}[/tex] ----> decimal answer

Is x÷9=-4 an expression or equation

Answers

The answer is equation
The answer to the question would be equation

What is 7 divided by 24.15

Answers

Answer:

20/69=0.2898550724637...

Step-by-step explanation:

a calculator

Final answer:

The result of 7 divided by 24.15 is approximately 0.29 when rounded to two decimal places.

Explanation:

The student has inquired about the result of the mathematical operation, division, specifically what is 7 divided by 24.15. To solve this question, you simply divide 7 by 24.15 on a calculator or by manual long division. The answer is approximately 0.29 when rounded to two decimal places. It should be noted that the exact quotient might vary depending on the number of decimal places you consider.

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When Sierra gets home 3/4, of a sandwich is left in the refrigerator. She cuts the remaining part into three equal
parts and eats two of them. What fraction of the whole sandwich did she eat?

Answers

The fraction of the whole sandwich she ate is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The given is:

When Sierra gets home 3/4, of a sandwich is left in the refrigeratorShe cuts the remaining part into three equal  partsShe eats two of them

We need to find What fraction of the whole sandwich she ate

∵ The remaining of the whole sandwich in the refrigerator is [tex]\frac{3}{4}[/tex]

∵ Sierra cuts the remaining part into 3 equal parts

- That mean divide [tex]\frac{3}{4}[/tex] by 3

∴ Each part = [tex]\frac{3}{4}[/tex] ÷ 3

- Replace ÷ by × and reciprocal 3

∴ Each part = [tex]\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex]

∴ Each part = [tex]\frac{1}{4}[/tex] of the whole sandwich

∵ She ate two of them

∴ She ate = 2 × [tex]\frac{1}{4}[/tex] = [tex]\frac{2}{4}[/tex]

- Divide up and down by 2 to simplify it

∴ She ate = [tex]\frac{1}{2}[/tex] of the whole sandwich

The fraction of the whole sandwich she ate is [tex]\frac{1}{2}[/tex]

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Two parallel lines are intersected by another line, as shown below.



What is the measure of ∠1?

A
61°

B
74°

C
81°

D
119°

Answers

The answer is // A - 61*

The measure of the angle 1 for the given figure is 61 degree.

Hence the correct option is (A).

From the given figure we have two parallel lines and a transversal which intersects them.

The 119 degree angle and the angle above the angle 1 are corresponding angles, so they are equal.

And the angle above angle numbered 1 and the angle numbered 1 are straight line angles, so the sum of them is 180 degrees.

119 + angle 1 = 180

angle 1 = 180 - 119

angle 1 = 61

Hence the measure of the angle 1 for the given figure is 61 degree.

Hence the correct option is (A).

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Which equation has NO solution? A) 10x + 5 2 = 3x + 6 B) 8 − 6x 4 = 4 + 2x C) 12x − 11 4 = 3x − 2 D) 18x − 10 2 = 9x − 5

Answers

Answer:

B) 16x+11/4 =4x+5-2

Step-by-step explanation:

the equation that has no solution is B)[tex]\( \frac{16x + 11}{4} = 4x + 5 \).[/tex]

The correct option is (B).

To find out which equation has no solution, let's solve each equation and see if any leads to a contradiction.

A)[tex]\( \frac{10x + 5}{2} = 3x + 6 \)[/tex]

  Multiply both sides by 2 to eliminate the fraction:

[tex]\( 10x + 5 = 6x + 12 \)[/tex]

  Subtract (6x) from both sides:

[tex]\( 4x + 5 = 12 \)[/tex]

  Subtract 5 from both sides:

  ( 4x = 7 )

  Divide both sides by 4:

[tex]\( x = \frac{7}{4} \)[/tex]

B) [tex]\( \frac{16x + 11}{4} = 4x + 5 \)[/tex]

  Multiply both sides by 4:

[tex]\( 16x + 11 = 16x + 20 \)[/tex]

  Subtract (16x) from both sides:

  ( 11 = 20 ) - Contradiction

C) [tex]\( \frac{8 - 6x}{4} = 4 + 2x \)[/tex]

  Multiply both sides by 4:

  [tex]\( 8 - 6x = 16 + 8x \)[/tex]

  Subtract 8 from both sides:

[tex]\( -6x = 8x + 8 \)[/tex]

[tex]\( -6x = 8x + 8 \)[/tex]

[tex]\( 0 = 14x + 8 \)[/tex] - Contradiction

D)[tex]\( \frac{18x - 10}{2} = 9x - 5 \)[/tex]

  Multiply both sides by 2:

 [tex]\( 18x - 10 = 18x - 10 \)[/tex] - No contradiction, the equation holds true for all ( x ).

So, the equation that has no solution is B)[tex]\( \frac{16x + 11}{4} = 4x + 5 \).[/tex]

complete question given below:

Which equation has NO solution?

A) (10x+5)/2 =3x+6

B) (16x+11)/4 =4x+5

C) (8-6x)/4 =4+2x

D) (18x-10)/2 =9x-5

7/8 of a rectangle is colored red. Damien cuts this red part into a number of pieces so that each piece is 1/24 of the whole rectangle. Find the number of red pieces Damien has.

Answers

Answer: Damien has 21 red pieces

Step-by-step explanation:

First, 7/8 of the rectangle is coloured red.

Then, the 7/8 was cut into a size 1/24 of the rectangle each.

That consequently means that 24 of those pieces will form the whole shape.

Since red covers 7/8 of the rectangle, the number of red pieces invariably becomes

⅞ × 24 pieces, which is equal to 21 pieces

Therefore, Damien has cut the red part of the rectangle into 21 pieces

Final answer:

Damien has 21 red pieces after dividing the red part of the rectangle, which is 7/8, into pieces that are each 1/24 of the whole rectangle.

Explanation:

To find the number of red pieces Damien has, we first determine the fraction of the rectangle that is colored red, which is 7/8. Then, we find the size of each piece that Damien cuts, which is 1/24 of the whole rectangle.

Since each piece is 1/24, and Damien is cutting up only the red part which is 7/8 of the whole, we calculate the number of pieces by dividing the red part by the size of each piece: number of red pieces = (7/8) / (1/24).

To do this division, we multiply by the reciprocal of the divisor: (7/8) * (24/1) = 21. Therefore, Damien has 21 red pieces.

what is the value of this expression C to the 3rd power / 2 when c=4

Answers

Answer:

32

Step-by-step explanation:

c^3/2 when c=4

4^3/2

4^3=4*4*4=16*4=64

64/2=32

HELP ASAP
The dinner check was $85.00. If Tyler gave the waiter a 20% tip, how much was the tip?



The dinner check was $85.00. If Tyler gave the waiter a 20% tip, how much did Tyler spend in total?

Answers

Answer:

It is $17.

Step-by-step explanation:

3. (First picture answer options are the 4 graphs after it.)

Answers

Answer:

The correct graph is attached below.

Step-by-step explanation:

Given:

Initial temperature is 0°.

Decrease in temperature per hour is 12°.

Since, the initial temperature is 0°, the line must pass through the origin as temperature is plotted along the y-axis.

Also, decrease in temperature per hour is 12°. So, this represents the slope of the line. So, the slope should be -12 as there is decrease in temperature with increasing time.

So, the correct graph will be a line passing through origin and the slope of the line must be -12. Also, the temperatures will be along the negative y-axis as the values are decreasing with time.

Hence, the third graph is the correct one and is shown below.

Other Questions
The line segment shown is rotated 90 clockwise about the origin. What are the new coordinates of point B? Qu tal? is best translated as ____________. When Kimberly begins working for Pharmco Industries the company tells her that at a future after so many years of employment with the company she can receive retirement pay. Her rights to receive pay upon retirement would be considereda. vested.b. accrued.c. sheltered.d. inferred. Jensen Company reports the following: Direct materials used $345,000 Direct labor incurred 250,000 Factory overhead incurred 400,000 Operating expenses 175,000 Jensen Companys period costs are a. $345,000 b. $250,000 c. $400,000 d. $175,000 Which of the following illustrates the truth value of the given conjunction?The number [tex]-\frac{343}{9}[/tex] is an integer, and a rational number. Howard Co. had the following first-year amounts for a $7,000,000 construction contract: Actual costs $2,000,000 Estimated costs to complete 6,000,000 Progress billings 1,800,000 Cash collected 1,500,000 What amount should Howard recognize as gross profit (loss) using the percentage-of-completion method?a. ($1,000,000)b. ($200,000)c. $800,000d. $1,750,000 Draw a free-body diagram of the rod ab. Assume the contact surface at b is smooth. A cylinder has a volume of 33 cubic inches. What is the volume of a cone with the same radius and height?A: 44 cubic inchesB: 33 cubic inchesC: 11 cubic inchesD: 99 cubic inches Part B Who demonstrated that DNA is the genetic material of the T2 phage? Who demonstrated that DNA is the genetic material of the T2 phage? Franklin Meselson and Stahl Darwin and Wallace Watson and Crick Hershey and Chase Which of the following substances can be classified as a salt?A.Sodium Chloride (NaCl)B.Vinegar (CH3COOH)C.Baking Soda (NaHCO3)D.Bleach (NaClO) Imagine there are 25 different species of protists living in a tide pool. Some of these species reproduce both sexually and asexually, and some of them can reproduce only asexually. Over the course of a year, the average water temperature of the tide pool increases significantly. Which species are more likely thrive in the changing environment?A) the sexually reproducing species B) the asexually reproducing species Vince has always believed children deserve the best prenatal care available. During a class discussion, he hears the first of several speakers express negative attitudes toward spending tax money on prenatal care for the poor. When it is his turn to speak, he voices an opinion more in keeping with the previous speakers. Vince's behavior is an example ofa) compliance.b) persuasion.c) conformity.d) obedience. In paragraphs 3 through 5, the phrases "Let me guess" and "no doubt" givedialogue a tone that is -AnaiveB hypercriticalC indignantD sarcastic Which kind of psychology seeks to identify and promote those qualities that lead to happy one feels diffulcites tobreath in a deep well while cleaning it, why? PLEASE HELP ME!!!!!!! I AM NOT GOOD AT MATH!Given the function f(x)= \frac{x^2+7x+10}{x^2+9x+20} Describe where the function has a hole and how you found your answer. Min collects 334 pounds of aluminum cans on Monday and 124 pounds on Tuesday. Jessica collects 414 pounds on Monday and 314 pounds on Tuesday. How many more pounds does Jessica collect than Min? Enter your answer in the box as a mixed number in simplest form. 5x - 9y=1-7x + 2y = -5 In the scientific method, how is a hypothesis tested Which Renaissance artist covered the ceiling of the Sistine Chapel with masterful frescoes ofreligious scenes?A -MichelangeloB-RaphaelC- Sandro BotticelliD-Leonardo da Vinci