A scientist measures the temperature of a chemical solution. At the start of the experiment, the solution is at a temperature of -14.06*C. TH decreases 2.9°C each hour. What is the temperature of the solution after 3 hours, rounded to the nearest whole degree?​

Answers

Answer 1

Answer:

T(3) = -23°C

Step-by-step explanation:

Constant Rate of Change

Given an initial condition of a variable T, To and a constant rate of change m, it's possible to write a model to predict the value of T in time t:

[tex]T(t)=T_o+mt[/tex]

The initial temperature the scientist measures of a chemical solution is To=-14.06°C.

It's known the temperature decreases at a constant rate of -2.9°C each hour, thus the model is:

[tex]T(t)=-14.06-2.9t[/tex]

Evaluating at t=3 hours:

[tex]T(3)=-14.06-2.9\cdot 3[/tex]

[tex]T(3)=-14.06-8.7[/tex]

T(3) = -22.76°C

Rounding to the nearest whole degree:

T(3) = -23°C


Related Questions

Yesterday, between noon and midnight, the temperature went down by 32.1°F. If the temperature was -6.6°F at midnight, what was it at noon?

Answers

Answer:

25.5°F

Step-by-step explanation:

²3¹¹2.¹1

     6.6     -                      Bold means that its supposed to have a strikethrough   2  5.5                               meaning the number is being cancelled

just take 6.6 away from 32.1

Find the equation of the line through point (-2,-2)and parallel to 3x+4y=12

Answers

Parallel = same slope
Turn 3x + 4y = 12 into y = mx + b
3x - 12 = -4y
-4y = 3x - 12
Divide by -4
Y = -3/4x + 3
Now: y = -3/4x + b
Plug in the point (-2,-2)
-2 = -3/4(-2) + b
-2 = 1.5 + b
b = -3.5
Equation: y = -3/4x -3.5
(Check my work, correct me if I’m wrong)
Here you go!! Hope this helps!

PLZ PLZ PLZ help will give brainliest!

Answers

Answer:kenny didnt find the real factor next to y and x and he swerved past the axis

Step-by-step explanation:

The equation of a horizontal line through (5,2) in slope-intercept form ?

Answers

Answer:

y=2 is the correct answer:)

Step-by-step explanation:

Heather needs to buy some pencils . Brand A has a pack of 24 pencils for $4.48 . Brand B has a pack of 36 pencils for $6.24

Answers

I’m assuming the question is which one is better deal
Brand A: 4.48/24 = $0.19 per pencil
Brand B: 6.24/36 = $0.17 per pencil
Brand B has a better deal
B is the answer... price per unit is a better deal

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 33 chaperones for a field trip with 24 2424 students.

Answers

Answer:

Step-by-step explanation:

3 chaperones for every 24 students or 3:24

so that would be 1 chaperone for every 8 students

Find the GCF for the pair 4, 49. ​

Answers

i believe the GCF for the park 4 and 49 is 1.

PLEASE HELP DUE TODAY TOOOO!!!!

Answers

Answer:

f(4) is 6,520 greater than g(4)

Step-by-step explanation:

Someone plz help me

Answers

The answer is 14 7/12

Explain the meaning of the point (1,1.5) in terms of the situation.

Answers

Answer:

there will be 1.5 table spoons of olive oil for every 1 tablespoon of vineagar

Step-by-step explanation:

Solve for x.
Please.

Answers

Alive and and try it and much better

Which mixed number is equivalent to twenty nine thirds?

Answers

9 2/3 this is the answer

Answer:

9 2/3

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

9 2/3

B. Solve the problem:

Mrs. Reyna is planning to fence her vacant lot for a parking space. The desired length of the lot is 6 m longer than its width. What will be the possible dimensions of the rectangular parking space if it should be less than 40m2?
(Hint: length x width = Area of rectangle)

Answers

Answer:

Step-by-step explanation:

Given

Area of the rectangle =Length × width

Given

The desired length of the lot is 6 m longer than its width, then L = 6+W

A = LW

40 = (6+W)W

40= 6W+W²

W²+6W -40 = 0

W²+10W-4W-40 = 0

W(w+10)-4(w+10) = 0

W+10 = 0 and w-4 = 4

W = -10 and w = 4

Width can't be negative

W = 4m

Since L = 6+w

L = 6+4

L = 10m

Hence the possible dimension s 4m by 10m

Nina works at Sweet Smoothies. She uses 3/4 of a cup of crushed ice in each smoothie. When Nina starts her
shift, there are 24 cups of crushed ice in the ice maker. How many smoothies can she make with thatice

Answers

Answer:

32

Step-by-step explanation:

YOU GET BRAINLIEST IF CORRECT!!!!!

Answers

It's really easy to solve this problem all you have to do is long division with 4,274 and 51.

4,274 divided by 51 is = to 83 but it still has decimals leftovers meaning there would be a remainder and since we already found out 81 is part of the answer we know it won't be 91 and it has to be 83 with a remainder!

It’s 83 that’s the answer

solve for x for both of these plssss i need help

Answers

Answer:

top one is -7

bottom one is -3

Step-by-step explanation:

What is the first step to evaluate 33 + 46 – 14?

Answers

Answer:

You would add 33 and 46 together to get 79.

Then you would do 79-14 and get 65 as the total answer

Step-by-step explanation:

Answer:

Addition

Step-by-step explanation:

You use Order of Operations or PEMDAS (parenthesis, exponents, multiplication, division (left to right), addition, subtraction (left to right)).

3. Fiona opened a retirement account that has an annual yield of 6%. She is planning on retiring in 20 years. How much must she deposit into that account each year so that she can have a total of $600,000 by the time she retires?

Answers

pretty sure the answer will be 16,310.73 :)

Fiona must deposit  $18,277.65 into her retirement account each year for the next 20 years in order to have a total of $600,000 by the time she retires.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

The present value of an annuity is:

PV = PMT x [(1 - (1 + r)⁻ⁿ) / r]

Where PV is the present value,

PMT is the periodic payment

r is the interest rate per period (6% per year), and

n is the number of periods (20 years).

We want to find PMT, so we can rearrange the formula to solve for it:

PMT = PV x [r / (1 - (1 + r)⁻ⁿ)]

We know that PV is $600,000, r is 6% or 0.06, and n is 20.

Plugging these values into the formula, we get:

PMT = $600,000 x [0.06 / (1 - (1 + 0.06)⁻²⁰)]

PMT ≈ $18,277.65

Therefore, Fiona must deposit  $18,277.65 into her retirement account each year for the next 20 years in order to have a total of $600,000 by the time she retires.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ3

distribute -4(5x ²-2x).

Answers

Answer:

-4(5x^2-2x)

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

-20x^2+8x

Answer:

-20x^2+8x

Step-by-step explanation:

That is -20x squared by the way

You’re welcome :)

In how many ways could 10 people be seated at a rectangular table if the two hosts should not sit
together? Show work.

Answers

Answer:

ok

Step-by-step explanation:

Answer:

9 ways.

Step-by-step explanation:

can you explain this question please​

Answers

Answer:

B

Step-by-step explanation:

θ and B are corresponding angles

Each is in the same position ( upper right hand corner ) in its group of four angles.

It is B
Some congruent angles are Corresponding angles. A and D are also corresponding angles.

Hope this helps! Mark me brainliest please! Cheers mate :)

A chair cost $250 last year and $175 this year by what percent did the price decrease?

Answers

Answer:

I believe it is 50% decreased, not sure

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

in order to find the percentage of the price decrease,we must find the difference between the prices

250-175=75

the price has dropped 75$

to find the percentage, we do 75/250

which can be simplified to 3/10 or 30%

We can check this by finding 30% of 250 which is 75

75=75

Find the Slope and Y Intercept of the equation of a line: y = 14x + 21.
Write your answer without using variables, decimals, or exponents.

Answers

The slope and y intercept are given
Y = mx + b
The slope is 14, the y intercept is 21

Graph this function using intercepts:
18x–42y=1,260

Answers

Answer: 260 on graph

Step-by-step explanation: 18x - 42y = 1    

                                                                 

Round each of these numbers to the degree of accuracy shown in the brackets
a) 4865
(Nearest ten)​

Answers

Answer:

irst, 4865 rounded to the nearest ten is:

4870

Step-by-step explanation:

Here we will tell you what 4865 is rounded to the nearest ten and also show you what rules we used to get to the answer.

Remember, we did not necessarily round up or down, but to the ten that is nearest to 4865.

When rounding to the nearest ten, like we did with 4865 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

IK this is simple math but I need help.

Answers

Answer:

C

Step-by-step explanation:

[tex]60*2 = 120[/tex]

[tex]60*3=180[/tex]

[tex]60*4=240[/tex]

HELP I DON'T WANNA GET THIS ONE WRONG
Which letter has rotational symmetry?

A. Q
B. H
C. G
D. A

Answers

Answer: (B). H

Step-by-step explanation:

Got it ?

ivan scores 56 out of 80 marks in a maths test
what is his score as a percentage

Answers

Answer:

70%

Step-by-step explanation:

(56/80) * 100

0.7 * 100

70%

The graph of which of the following equations contains the points (2,3) and (3,2)

Answers

Answer:

[tex] y = 5 - x [/tex]

Step-by-step explanation:

The graph of the equation that will contain the points (2, 3) and (3, 2) is the graph that has a slope value that is equivalent to the slope value of the line running through the two points.

Slope of the line running through (2, 3) and (3, 2):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 3}{3 - 2} = \frac{-1}{1} = -1 [/tex].

Slope (m) = -1.

The equation, [tex] y = 5 - x [/tex] , is given in the slope-intercept form, which means it has a slope value of -1. I.e. the term "-x" is equivalent to -1x. So therefore, the graph of the equation that contains the points (2, 3) and (3, 2) is [tex] y = 5 - x [/tex].

Someone please answer its due by midnight

Answers

Answer:

Look below :)

Step-by-step explanation:

1. coefficient

2. constant (it's referred to as a constant because the value never changes)

3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.

4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.

5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.

6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)

7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.

8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.

9. 2[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.

10. -4[tex]x^{3} y[/tex] + 2xy + 5x + 7.

I hope this helps :)

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