The temperature in a room at midnight is 20 degrees Celsius. Over the next 24 hours, the temperature changes at a rate modeled by the differentiable function H, where H(t) is measured in degrees Celsius per hour and time t is measured in hours since midnight. Which of the following is the best interpretation of 0 6 H(t) dt?
(A) The temperature of the room, in degrees Celsius, at 6:00 A.M.
(B) The average temperature of the room, in degrees Celsius, between midnight and 6:00 A.M.
(C) The change in the temperature of the room, in degrees Celsius, between midnight and 6
(D) The rate at which the temperature in the room is changing, in degrees Celsius per hour, at 6:00 A.M.

Answers

Answer 1

It will represent the change in temperature between midnight and 6, the correct option is C.

Which is the best interpretation of ∫H(t)*dt?

H(t) is the rate at which the temperature changes. So, if we integrate H(t), we will get the change of temperature.

In this case, we have:

[tex]\int\limits^6_0 {H(t)} \, dt[/tex]

This will give the change in temperature between 6:00 AM (represented by the 6) and midnight (represented with the 0).

So the correct option is C.

If you want to learn more about integration, you can read:

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Related Questions

pls help and please give a serious and right answer thx :D

Answers

Answer:

AC=16

Step-by-step explanation:

6x+2=5x+3

6x-5x=3-2

X=1

——-

6(1)+2+5(1)+3=16


need help with thiss

Answers

Answer:

10n^2 + 2n + 16

Step-by-step explanation:

Rectangles have the same length and same width. So we can deduce that the top side is 5n^2 - 1, and the left side is n + 9.

Now all we need to do is add all 4 sides up:

(5n^2 - 1) + (5n^2 - 1) + (n + 9) + (n + 9)

or

2(5n^2 - 1) + 2(n + 9)

= 10n^2 - 2 + 2n + 18

= 10n^2 + 2n + 16

GEOMETRY, help asap please!

Answers

Answer:

A

Step-by-step explanation:

It’s the opposite

PLEASE ANSWER QUICK On a number line, a segment has endpoints of -2.5 and 4.5. What is the midpoint?

Answers

Answer: 2

Step-by-step explanation: See all you have to do is have 4.5 + -2.5 and the answer from that is your midpoint

Edit: This is for a number line

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Step-by-step explanation:

I wrote the steps step-by-step for you

I hope you understand...

Answer:

Step-by-step explanation:

3x^2 + 8x - 16 - SOMETHING = x^2 - 4

Re-arranging left and right:

SOMETHING = 3x^2 + 8x - 16 - x^2 + 4

= (3x^2 - x^2) + 8x - 16 + 4

= 2x^2 + 8x - 12

Which of the expressions below can be factored using the difference of
squares method?
A. 17x^2+23y^2
B. 25x^2+64y^2
C.25x^2-64y^2
D.17x^2-23y^2

Answers

Answer:

C

Step-by-step explanation:

A difference of squares can be factored in general as

a² - b² = (a - b)(a + b)

We are looking for 2 terms separated by a - and perfect squares on either side. The only one meeting this criteria is

25x² - 64y²

= (5x)² - (8y)²

= (5x - 8y)(5x + 8y) ← in factored form

Please help,

with capital held constant, when zane employs one additional worker, the marginal product of labor decreases by 5 units. which economic concept best characterizes zane’s production process

Answers

The economic concept that best characterizes zane’s production process is diminishing marginal product.

What is diminishing marginal product?

Diminishing marginal product is an economic concept which states that says as more quantities of a variable input in the production process is added to a fixed factor used in production, output might increase initially but after a point total output would increase at a decreasing rate and marginal product would begin to decrease.

To learn more about diminishing marginal product, please check: https://brainly.com/question/13923885

i need help with this question

Answers

A
Find the two intersections of the lines. The value of x of the intersections will satisfy the system of equations.
Brainliest pls!

47 = 2(x + 3) + 3(x - 3)
what's the answer to this ?

Answers

the answer should be x=10

[tex]47 = 2(x + 3) + 3(x - 3)[/tex]

[tex]47 = 2x + 6 + 3x + - 9[/tex]

[tex]47 =(2 x + 3x) + (6 + - 9)[/tex]

[tex]47 = 5x + - 3[/tex]

[tex]47 = 5x - 3[/tex]

[tex]5x - 3 = 47[/tex]

[tex]5x = 47 + 3[/tex]

[tex]5x = 50[/tex]

[tex]x = \frac{50}{10} [/tex]

[tex]x = 10[/tex]

Let us check whether or not we have found out the correct value of x by placing 10 in the place of x .

So :-

[tex]47 = 2(10 + 3) + 3(10 - 3)[/tex]

[tex]47 = (20 + 6) + (30 - 9)[/tex]

[tex]47 = 26 + 21[/tex]

[tex]47 = 47[/tex]

LHS = RHS

As the left hand side of the equation is equal to the right hand side of the equation , we have found out the correct value of x .

Therefore , 47 = 2 ( 10 + 3 ) + 3 ( 10 - 3 ) and x = 10 .

Divide: 1 / 3 by 6
what is the answer?

Answers

Answer:

hi

Step-by-step explanation:

The speed limit on a road is 45 mph. you want to clock the speed of a random sample of cars to test the hypothesis that the average speed of cars is greater than the speed limit. what kind of test would you use?

Answers

The test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test

When do we use one sample t-test?

When we want to find out from the sample if the unknown population mean is different from some specific value, then we can use one sample t-test.

The test statistic is:

[tex]t = \dfrac{\overline{x} - \mu_0}{s/\sqrt{n}}[/tex]

where we have:

[tex]\overline{x}[/tex]= mean of the samples = sample standard deviation[tex]\mu_0[/tex] = the specific value we're comparing population mean with.n = sample sizedegree of freedom = n - 1

For this case, we want to test  the hypothesis that the average speed of cars is greater than the speed limit.

That means we want to know if

unknown population mean (the average speed of cars) > speed limit (45).

symbolically, we want to test if [tex]\mu > 45[/tex] (in miles per hour)

Thus, the test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test

Learn more about one sample t-test here:

https://brainly.com/question/25316952

Answer: Right-tailed test

Step-by-step explanation:

I just got it right on edu

Consider the function represented by the table.



What is f(0)?

4
5
6
7

Answers

Answer:

f(0) = 4

Step-by-step explanation:

just trust me on this one

Answer:

a on edge.

Step-by-step explanation:

f(0) = 4

Wendy and Connor each deposit $8,300 into accounts that earn 3. 5% interest for 25 years. Wendy's account earns annual simple interest and Connor's account earns annual compound interest.


How much more interest will they earn?

Answers

The answer is $4052,4
Hope it’s help u!

Sandy can rake 20 bags of leaves in 4 hours. Sarah can rake 28 bags in 4 hours. If they work together, how long will it take to rake 54 bags of leaves?


(A) 4 1/2 hours

(B) 4 hours

(C) 3 3/4 hours

(D) 2 hours

Answers

Answer:

A

Step-by-step explanation:

hope you get it

Can anyone help me with my homework, it would be greatly appreciated.

Answers

Answer:

The answer is 2.8 because it is the same length as the other side

Step-by-step explanation:

please help thanks. ☺️

Answers

A.) False
B.) False
C.) True

who’s is combined thickness of these shims: 0.008, 0.125, 0.15, 0.185 and 0.005 cm?

Answers

0.338 is the answer

hope this helped

Based on the information, the combined thickness will be 0.3338.

From the information given, we are told to find the combined thickness of these shims: 0.008, 0.125, 0.15, 0.185 and 0.005 cm.

This simply means that we need to add the decimals. This will be:

= 0.008 + 0.125 + 0.15 + 0.185 + 0.005

= 0.3338 cm

Learn more about decimals on:

https://brainly.com/question/10975759

1. An object is propelled off of a platform that is 75 feet high at a speed of 45 feet per second (ft./s). The height of the object off the ground is given by the formula h(t) = -16t^2 + 45t + 75, where h(t) is the object's height at time (t) seconds after the object is propelled. The downward negative pull on the object is represented by -16t^2. Solve for t.

Directions:
Read each problem carefully. Solve each quadratic equation for the variable(s) specified. Be sure to show all of your work. Explain in two to three sentences what the meaning of the solution(s) are in relation to the problem situation

Answers

Answer:

3.987923694

Step-by-step explanation:

Quadratic formula and plug in the numbers:

T = (-45 +-(sqrt(2025+4800)))/-32

the object will be at a height of 0 feet  0.97 seconds and 4.53 seconds after it is propelled.

How do we calculate?

h(t) = -16t² + 45t + 75

-16t² + 45t + 75 = 0

using the quadratic formula:

t = (-b ± √(b² - 4ac)) / (2a)

a = -16, b = 45, and c = 75.

We then Substitute these values into the quadratic equation

t = (-(45) ± √((45)² - 4(-16)(75))) / (2(-16)

t = (-45 ± √(2025 + 4800)) / (-32)

t = (-45 ± √6825) / (-32)

We find the value of t using both the positive and negative square root:

t₁ = (-45 + √6825) / (-32)

t₂ = (-45 - √6825) / (-32)

t₁ =0.97 seconds

t₂=  4.53 seconds

Learn more about quadratic equation: at:

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#SPJ2

List the range for set p={1,2,3,4,5} and set Q={1,4,9,16,25,26}

Answers

Answer:

Set p =4

Set q=25

Step-by-step explanation:

Range is highest value minus lowest value

Set P=5-1=4

Set Q=26-1=25

May someone tell me why is this wrong?

Answers

Answer:

ummm maybe because you used [ instead of ( ?

Step-by-step explanation:

i feel like yours should be correct though since its including -3

A cone has a radius of 6 inches and a height of 20 inches.

What is the EXACT volume of the cone?

Answers

Answer:

753.98224

Step-by-step explanation:

v=pie r^2 h/3=piex6^2x20/3=753.98224

Number 7. Please asap.

Answers

7a)

[tex]\frac{n(n - 3)}{2} = 665\\n(n - 3) = 665 \cdot 2\\n(n - 3) = 1330\\n^2 - 3n = 1330\\n^2 - 3n - 1330 = 0\\n = \frac{-(-3) \pm \sqrt{(-3)^2 - 4 \cdot 1 \cdot (-1330)}}{2 \cdot 1} = \frac{3 \pm \sqrt{9 + 5320}}{2} = \frac{3 \pm \sqrt{5329}}{2} = \frac{3 \pm 73}{2}\\n_1 = \frac{3 + 73}{2} = \frac{76}{2} = 38\\n_2 = \frac{3 - 73}{2} = \frac{-70}{2} = -35[/tex]

If n is the amount of sides then there's 38 sides in a polygon with 665 diagonals

7b)

We do the same as 7a) but with 406. We get that [tex]n_1 = 30.04[/tex] and [tex]n_2 = -27.04[/tex]. A polygon cant have 30.04 sides

Answer: A. 38 sides

B. When solved, you get -27.04 sides or 30.04 sides. Neither of these are possible because the number of sides cannot be negative or a decimal.

Step-by-step explanation: Part A:

If the polygon has 665 diagonals, set your original n-sided polygon equal to it.

n(n - 3)/2 = 665

Multiply both sides by 2 so it’s not in the denominator.

n(n - 3) = 1330

Distribute n and subtract 1330 from both sides so it is equal to zero.

n² - 3n - 1330 = 0

Factor it:

(n - 38)(n * 35) = 0

Solve for n by setting it equal to zero:

n = 38 & n = -35

The number of sides cannot be negative, therefore, the answer to Part A is 38 sides.

Part B:

Set your original n-sided polygon equal to 406 and solve to prove that a polygon cannot have 406 diagonals.

n(n - 3)/2 = 406

Multiply both sides by 2 so it’s not in the denominator.

n(n - 3) = 812

Distribute n and subtract 812 from both sides so that it is equal to zero.

n² - 3n - 812 = 0

This cannot be factored, so plug it into the Quadratic Formula. Here are the values you need for the Quadratic Formula based on the polynomial above:

a = 1

b = -3

c = -812

When you solve this, you will get:

n = -27.04 and n = 30.04

A polygon cannot have negative sides and it cannot have decimal sides. It has to be a positive integer (positive whole number).

Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 222 seconds. But, as she gets tired, each sit-up takes longer and longer to do. Is the number of sit-ups Anna does proportional to the time she spends doing them? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answers

Answer:

Choice B) No.

Step-by-step explanation:

When she starts , she does a sit-up every 222 seconds.

But as she gets tired, each sit-up takes longer and longer to do.

It means, each sit-up takes more time than she did at beginning.

So, it is NOT proportional to the time.

If it is proportional, she should take constant number of sit-ups even she get tired.

Answer:

No

Step-by-step explanation:

Khan

Find the mode of the data set. 11, 19, 16, 12, 19, 16, 11, 12, 16, 13

Answers

Answer:

mode is 16

Step-by-step explanation:

because there are 3 16s which is the most common number in this data set

Answer:

16

Step-by-step explanation:

Your mode would be 16

Your mode is 16 because the mode is the number that appears most in the data set and 16 appears 3 times in the data set.

Here is some extra answers just incase.


median=14.5

Because median is the middle number and because 13,16 are the middle numbers then you split that in middle and plus you also have to sort it least to gretest.

Mean=14.5 also because mean is the average of all the numbers in the data set.

range is 8

Range is the highest number subtracting lowest number so 19-11=8

Minimum is 11

The minimum is the lowest number and the data set so 11

maximum is 19

Maximum is the highest number in the data set.

Hope it helps have a great day:)

Can you help me this the workings and the answer?
Thanks a bunch!!

Answers

Answer:

(multiply both sides by 6)

6×[tex]\frac{4h+4}{6}[/tex]-10×6=-2h×6

(simplify)

4h+4-60=-12h

4h-56=-12h

(move constant to the right side and variable to the left)

4h+12h=56

16h=56

(divide both sides by 16)

h=7/2

What is the equation of the function that is graphed as line a?
y=-3x-2
y=3 x + 2
y=- 1/3 x - 2
y=1/3- x2

Answers

Answer:y=-3x-2

The gradient is going down so the x coefficient is a negative. It goes down 3 across 1 so the coefficient is 3. The y intercept is at -2.

A Super Lemon currently weighs 100 kg and is increasing by 4 kg per day. The price for Super Lemon’s
is currently $8.90 per kg but is decreasing at $0.30 per day. The cost to grow the lemon is $0.80 per
day.

Determine how many days from now the lemon should be sold to maximize profit and what the
maximum profit will be.

Answers

The lemon should be sold 3 days from now to maximize profit, which would be $894.80.

Profit calculation

Given that a Super Lemon currently weighs 100 kg and is increasing by 4 kg per day, and the price for Super Lemon’s is currently $8.90 per kg but is decreasing at $0.30 per day, and the cost to grow the lemon is $0.80 per day, to determine how many days from now the lemon should be sold to maximize profit and what the maximum profit will be, you should perform the following calculation:

Initial profit = $890(100 + 4x1) x (8.90 - 0.30x1) - (0.80x1) = 893.6(100 + 4x5) x (8.90 - 0.30x5) - (0.80x5) = 884(100 + 4x2) x (8.90 - 0.30x2) - (0.80x2) = 894.8(100 + 4x3) x (8.90 - 0.30x3) - (0.80x3) = 893.6

Therefore, the lemon should be sold 3 days from now to maximize profit, which would be $894.80.

Learn more about profit calculation in brainly.com/question/13806160

HELP A GORL OUT PLEASE

Answers

Answer:B

Step-by-step explanation:

Write a proof for the statement.
If a quadrilateral is a square, then the quadrilateral is a rectangle.

Answers

A quadrilateral is a polygon with four edges and vertices (4sides). Both square and rectangle have four sides.

You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are are blue.
What is the possibility of a blue marble

Answers

Answer:

3/5

Step-by-step explanation:

blue marbles in the bag is 12. the total marbles in the bag including the blue marbles is 20. so, take 12 over 20 and then simplify/divide it with 2, the first answer you'll get is 6/10, then simplify/divide it again with two and you'll get 3/5

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