A solid object with an initial temperature of 75 degrees Fahrenheit is dropped into a lake with a temperature of 33 degrees Fahrenheit. The function f(t)=Ce(−kt)+33 represents the situation, where t is time in minutes, C is a constant, and k is a constant.

After 2 minutes the object has a temperature of 55 degrees. What will be the temperature of the object, in degrees Fahrenheit, after 4 minutes? Round your answer to the nearest tenth, and do not include units.

Answers

Answer 1

Answer: 44.5

Step-by-step explanation:

A Solid Object With An Initial Temperature Of 75 Degrees Fahrenheit Is Dropped Into A Lake With A Temperature
Answer 2

The object's temperature post 4 minutes in respect to degrees Fahrenheit would be:

- [tex]44.5[/tex]°C

Given that,

Function [tex]f(t)=Ce(-kt)+33[/tex]

where,

t = time in terms of minutes

C = constant

k = constant

The temperature of the object [tex]= 75[/tex]°

where, [tex]t = 0[/tex]

Using the function,

∵ [tex]f (0) = 75[/tex]

[tex]Ce^{(0)}[/tex] [tex]+ 33 = 75[/tex]

This will lead to

[tex]C = 42[/tex]               (∵ C being constant)

Temperature post 2 minutes = [tex]55[/tex]°

or

[tex]55 =[/tex] [tex]42e^{(-2k)} + 33[/tex]                (k being [tex]0.3233[/tex])

Thus,

Temperature after 4 minutes would be:

[tex]f(4) = 42e^{(-1.29325)} + 33[/tex]

[tex]= 44.5[/tex]°

Thus, [tex]44.5[/tex]°C is the correct answer.

Learn more about 'Temperature' here:

brainly.com/question/21031825


Related Questions

Are the points on the boundary line part of the
solution set or not?

Answers

Answer:

yes

Step-by-step explanation:

3) The bakers at Healthy Bakery can make 350 bagels in 2 hours. How many
bagels can they bake in 22 hours? What was that rate per hour?

Answers

Answer:

3850

Step-by-step explanation:

Total bagels in 22 hours 3850, and the rate per hour is 175

Joseph wants to buy a new smart TV. He has saved $40 and earns $15 per lawn of leaves he rakes. Which of the following equations can be used to determine the number of lawns Joseph needs to rake r, in order to buy the smart TV, which costs S dollars

Answers

Answer:

he rakes 3 lawns per day. he would have to work for 6.4 days to earn $45.

hope this helps!!!!!

please help me asap​

Answers

Answer:

8 1/3 and 2/7

Step-by-step explanation:

1) A) 8 1/3

2) C) 2/7

Hope this helps!

Two collinear points are given in the table below

X Y
0 0

5 -2

Select all points that do not lie on this line.
a.(−10,−4)



b.(−3,−45)



c.(−15,6)



d.(−10,4)



e.(2,−45)

Answers

Answer:

I think the answer are C. , d. , E.  

Step-by-step explanation:

Answer:

b & c

Step-by-step explanation: I got a 100 on the USA/test

9 % as a fraction in simplest form

Answers

Answer:

9/100

Step-by-step explanation:

9% = 9/100

Hope it helps

Answer:

9/100

Step-by-step explanation:

this is the simplest form

Expressed as a percentage, how many more avocados does the city of
Phoenix consume per year compared to Denver? Phoenix - 120 Denver - 75

Answers

Answer:

In Phoenix they consume 60% more avocados than in Denver.

Step-by-step explanation:

Given that in Denver they consume 75 units of avocados, while in Phoenix they consume 120 units of said fruit, to determine the percentage difference between the consumption of both cities it is necessary to perform the following calculation:

75 = 100

120 = X

((120 x 100) / 75) = X

(12,000 / 75) = X

160 = X

160 - 100 = 60

Therefore, in Phoenix they consume 60% more avocados than in Denver.

In Phoenix they consume 60% more avocados than in Denver.

We have given that in Denver they consume 75 units of avocados, while in Phoenix they consume 120 units of said fruit, we have to determine the percentage difference between the consumption of both cities it is necessary to perform the following calculation

Suppose 75 = 100

[tex]120 = x[/tex]

[tex]100\times 120=75x[/tex]

divide both side by 75

[tex](120 \times 100) / 75) = X[/tex]

[tex](12,000 / 75) = X[/tex]

[tex]160 = X[/tex]

[tex]160 - 100 = 60[/tex]

Therefore, in Phoenix they consume 60% more avocados than in Denver.

To determine the percentage difference visit:

https://brainly.com/question/433627

I need help fast!!!!

Answers

Answer:

Step-by-step explanation:

You really should object to this question. Technically, none of the answers are correct. The dot is blacked in. Therefore it includes the endpoint.

Either ≤ or ≥ should be used.

Now that I have finished nit picking, the closest answer is

10x ≤ -5   Divide by 10

10x/10 ≤ -5/10

x ≤ -0.5

The closest answer is a.

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

w + 125.2 = 255              Subtract 125.2 from both sides

w = 255 - 125.2

w = 129.8

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week. (2 points) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer:

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

4(20)+6(6)=

80+36=116

4(4)+4(6)=

16+24=40

I hope this is good enough:

Answer:

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

I took the test on FLVS

According to the area model, what's the probability of no pumpkins?

Answers

Answer:

good luck bro I believe in u

Madeline drove 180 miles in 4 hours. If she drove at a constant rate, how far
did she travel in one hour?
PLSSS HELP

Answers

Answer:

45

Step-by-step explanation: divide 180 by 4

write the linear equation in slope intercept form

Answers

Y=5x


Explanation:


You would take two points and use the slope formula

Y2-y1/x2-x1

So I took the points (0,0) and (1,5)

5-0/1-0
5/1
5= the slope

So now we know y=5x+b and since it shows us on the graph where the line crosses the y axis we know the y intercept will be zero because it crosses at 0. When the y-intercept is 0 we don’t even need to list it.

Answer:

y=5/1x or y=5x

Step-by-step explanation:

find the slope of the line that passes through (7,7) and (3,2).

Answers

Answer:

-5/4

Step-by-step explanation:

to find the slope the equation is the secony - the first y over the second x- the first x so 2-7 is -5 and 3-7 is -4 so it would be -5/4

the equation to find the slope of the line given 2 points is y2-y1/x2-x1
the equation you get is 2-7/3-7, which simplifies to -5/-4, which is 5/4

A cafeteria serves each student a 1/4 of a pound hamburger. How many
pounds of ground beef must be purchased to serve 700 students?

Answers

175 pounds is the answer

Question 1
x + 6 = 23 x = ____

Question 2
Solve.
x - 7 = 12 x = ___

Question 3
Solve. Round your answer to the nearest tenth.

4x = 13 x = ____

Question 4
Solve. Round your answer to the nearest tenth.

3x + 1 = 15

Answers

Answer:

1. x=17

2. x=19

3. x=3

4. x=4

Answer:

question 1:

3/11

question 2:

-  7/11

Step-by-step explanation:

in

What is the modulus after (–1 + StartRoot 3 EndRoot i ) gets raised to the 6th power?

2
12
32
64

Answers

Answer:

64

Step-by-step explanation:

Once you convert -1+sqrt3i intro trig form, the modulus is 2. Since you are raising it to the 6th power, 2 to the 6th power is 64. So, the modulus of (-1+sqrt3i)^6 is 64. Hope this helps!

Answer:

64

Step-by-step explanation:

What is does 4x + 9 = 68

Answers

Answer:

x=19.75

Step-by-step explanation:

4x + 9 = 68

Subtract 9 from both sides:

4x = 59

Divide both sides by 4

X = 59/4

X = 14.75

Find the area of the shaded region in the figure below, if the radius of the outer circle is 10 and the radius of the inner circle is 8. Keep your answer is terms of pi.

Answers

Answer:

I assume that the figure your figure is like this:

The Area of the shaded Region is 36π .

What is a Circle ?

A circle is a round shaped figure whose all the point lie in the same plane.

It is given that Area of the shaded region needs to be found in the figure attached

Radius of the outer circle is 10

and Radius of the inner circle is 8

The area of the shaded region = Area of the outer circle - area of the inner circle

Area of a circle = πr²

r is the radius of the circle.

Area of the outer circle = π(10)²

Area of the outer circle = 100π

Area of the inner circle = π (8)²

Area of the inner circle = 64 π

Area of the shaded Region = 100π - 64 π

Area of the shaded Region = 36π

Therefore the Area of the shaded Region is 36π .

The missing figure is attached with the answer.

To know more about Circle

https://brainly.com/question/11833983

#SPJ2

HELP PLEASE, IM BEGGING YOU

Answers

Answer:

1. -30/7

2. 5/2

3. 1 2/3

4. -3 2/5

5. 2 1/2 and -2 1/2

6. No values have an absolute value of -6 1/3 because the absolute value of a number is always positive

help me wit this...ion even know what these r

Answers

Answer:

Curl up test

Muscular endurance is the ability of a muscle or group of muscles to sustain repeated contractions against a resistance for an extended period of time. It is one of the components of muscular fitness, along with muscular strength and power.

Hi thank u by hiiiiiii

2x2 - 4x –9 = 0
Completing the swuare

Answers

Step-by-step explanation:

[tex](a-b)^2=a^2-2ab+b^2\\\\2x^2-4x-9=0\qquad|\text{add 9 to both sides}\\\\2x^2-4x-9+9=0+9\\\\2x^2-4x=9\qquad|\text{divide both sides by 2}\\\\\dfrac{2x^2}{2}-\dfrac{4x}{2}=\dfrac{9}{2}\\\\x^2-2x=4.5\\\\x^2-2\cdot x\cdot1=4.5\qquad|\text{add}\ 1^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot1+1^2=4.5+1^2\\\\(x-1)^2=5.5\iff x-1=\pm\sqrt{5.5}\qquad|\text{add 1 to both sides}\\\\x=1-\sqrt{5.5}\ \vee\ x=1+\sqrt{5.5}[/tex]

The unit of length i can use to measure distance is???

Answers

Answer:

Step-by-step explain

Kilometres

Meters

Answer: I hope this helps

Step-by-step explanation:

Distance measures length. For example, the distance of a road is how long the road is. In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers.

.98*125
13.75*12
143.43/31

Answers

Answer:

n = 6

n, = 6n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2n = 6

n, = 6

n = 0

n, = 0

n = 4

n, = 4

n = 2

n, = 2

'

what is 25 divided by 1 1/4

Answers

Answer:

20

Step-by-step explanation:

25 ÷ 1.25 = 20

What are the slope and the y-intercept of the graph of the linear function shown on the grid?



triand - easy online student testing



Slope =
-1/3
, y-intercept = -6

Slope = 3, y-intercept = -2

Slope = -3, y-intercept = -6

Slope = 4, y-intercept = -2

Answers

Answer:

it looks like you already have the answer but the answer would be slope as -1/3 and y intercept as -6

All of the points in the picture are on the same line.Find the values for "a" and "b". Explain your reasoning.

Answers

Answer:

I don’t know

Step-by-step explanation:

Go ask your teacher please help me

With this What is a linear function in the form y= mx + b for the line passing through (4.5, -4.25) with y-intercept 2.5?

neksksmskwkmsm


skjsksmsms

The equation of the piecewise defined function f(x) is below. What is the value of f(1)?

Answers

f(1) = -1

= -(x^2)
= -(1)
= -1

The value of the f(1) should be -1 when the  equation of the piecewise defined function f(x).

Calculation of the value of f(1):

here first we are required to determine which expression to use for f(1). The first function does not involve 1, because it is <, and not ≤

And,

The second functions involved 1, because it has a ≤ that  meaning greater than or equal to, so this is the function we must use.

So, it can be like

f(1) = -1

= -(x^2)

= -(1)

= -1

hence,

The value of the f(1) should be -1 when the  equation of the piecewise defined function f(x).

learn more about function here: https://brainly.com/question/15546484

Please help me find the value of z.

Answers

Answer:   z = 12x + 16y - 34

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

Work Shown:

Plug (x,y) = (3,2) into the F(x,y) function

[tex]F(x,y) = 2x^2 + 4y^2\\\\F(3,2) = 2(3)^2 + 4(2)^2\\\\F(3,2) = 34\\\\[/tex]

Next, find the gradient and plug in (x,y) = (3,2)

[tex]F(x,y) = 2x^2 + 4y^2\\\\\\\nabla F(x,y) = \Big< \frac{dF}{dx}, \frac{dF}{dy}\Big>\\\\\\\nabla F(x,y) = \Big< 4x, 8y \Big>\\\\\\\nabla F(3,2) = \Big< 4*3, 8*2 \Big>\\\\\\\nabla F(3,2) = \Big< 12, 16 \Big>\\\\\\[/tex]

This means,

[tex]z = \nabla F(3,2) \cdot \left(\vec{x} - \big< 3, 2 \big>\right) + F(3,2)\\\\\\z = \nabla F(3,2) \cdot \left(\big< x,y \big> - \big< 3, 2 \big>\right) + F(3,2)\\\\\\z = \nabla F(3,2) \cdot \big< x-3,y-2 \big> + F(3,2)\\\\\\z = \big< 12,16 \big> \cdot \big< x-3,y-2 \big> + 34\\\\\\z = 12(x-3)+16(y-2) + 34\\\\\\z = 12x-36+16y-32 + 34\\\\\\z = 12x+16y-34\\\\\\[/tex]

As a way to help check, note how plugging (x,y) = (3,2) into the last equation for z leads to z = 34. This helps confirm that we have the correct equation because the point (3,2,34) must be on F(x,y) and also on z since the plane is tangent to the F(x,y) curve at this point.

5. Open Response Monique wants to rent
online movies. Movies Plus charges a
one-time fee of $20 plus $5 per movie.
Movies-To-Go charges $7 per movie. For how
many movies is the cost of renting movies
from Movies Plus and Movies-To-Go the
same?

Answers

Answer:

I'm going to say Movies-To-Go because this is an easy question.

Step-by-step explanation:

movies plus charges more than movies to go and your asking for which one is cheaper so movies to go is the answer.

The number of movies at which the cost of renting movies

from Movies Plus and Movies-To-Go is the same is 10 movies.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Movies plus:

One time fee = $20

Cost per movie = $5

We can write an equation for the total cost T for x movies:

T = 20 + 5x _____(1)

Movie-to-go:

Cost per movie = $7

We can write an equation for the total cost T for x movies:

T = 7x _____(2)

Now,

The number of movies at which the cost of renting movies

from Movies Plus and Movies-To-Go is the same is:

From (1) and (2),

20 + 5x = 7x

20 = 7x - 5x

20 = 2x

x = 20/2

x = 10

Thus,

The number of movies at which the cost of renting movies

from Movies Plus and Movies-To-Go is the same is 10 movies.

Learn more about equations here:

https://brainly.com/question/27996921

#SPJ2

14. Taxi company A charges $2 per ride plus $0.25 per mile. Taxi company B charges $3 per ride plus $0.15 per mile. Which equation could be used to find the number of miles for which both companies cost the same for one ride? O A.2.25m = 3.15m
B. 2 + 0.15m = 3 + 0.25m
C.2m +0.25 = 3m +0.15
D.2 + 0.25m = 3 + 0.15m

Answers

Answer:

So i beiieve the answer is B

Step-by-step explanation:

Because if you thinl about the ride for A is $2 plus 25 cents so its 2 plus 25m thats per mile and b 3 dollars and 15 so u keep adding up until u get the same from both equations if u need further explanation let me know

Other Questions
Demon had 6 friends over for Thanksgiving. Each of his friends brought 4 more people. How many people showed up for Thanksgiving dinner? Which is one way that the movement of matter through an ecosystem is different from the transfer of energy? A. Only the movement of matter involves living things. B. Only the movement of matter flows in one direction only. C. Only the movement of matter occurs in an unending cycle. D. Only the movement of matter involves feeding relationships. I need help with this question. The image shows a mountain peak in Asia.Which force most likely created this mountain?compressiongravityshearingtension Which sentence can represent the inequality 2.4(6.2- x) >-4.5? CAN SOMEONE PLEASE HELP ME !!! ILL MARK YOU AS BRAINLIST !! PLEASE AND THANK YOU. The criminal goes free, if he must, but it is the law that sets him free. Nothing can destroy a government more quickly than its failure to observe [obey] its own laws, or worse, its disregard [ignoring] of the charter [rules] of its own existence.How does this quote from the Supreme Courts ruling in Mapp v. Ohio (1961) show the importance of protections for those accused of crimes? Do you think the Founders would agree with this statement? Why or why not? Find the next four numbers in the pattern. (What is the pattern?)Explain. 1,2,5,10,13, 26, 29,___,____,____,______ Write an equation for the line in slope-intercept form Which is a component of cell theory?Cells come from bacteria.Cells come from cells.Cells come from nonliving matter.Cells come from non-cells. In which direction does water move across membranes, up or down the concentration gradient? An exterior angle of a triangle is 124. If the non-adjacent angles are congruent, then what are the measures of all of the interior angles of the triangle? what is the ratio for 3.6 : 0.04 A bird traveling toward the ground is changing its altitude by an average of 5 feet per second. At this rate, what is the bird's total change in altitude in 6 seconds? I need help pls !!!!! What was the name of the system that gave colonists land for bringing servants with them what is the differences in the abioticfactors of the open ocean photiczone compared to the openocean aphotic zone Fantastic Snack Company has spent months developing a new type of snack chip, but the chips are not selling. Which of the following is the most likely mistake Fantastic Snack Company made? conserving too valuable resources spending capital it did not have not researching production methods not meeting the wants of its consumers Y0UR M0MWY 100KS L1KE TH1$ What is most likely to cause a lender to deny credit?Group of answer choicesFew credit and loan applicationsA low debt-to-credit ratioMissed payments on revolving creditVariety of credit type used