A pan is heated to 409°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 71°F. The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes. D = 338e^-0.03t What is the approximate temperature of the pan after it has been away from the heat for 8 minutes? A. 336.9°F B. 500.7°F C. 265.9°F D. 194.9°F

Answers

Answer 1

Answer: C. [tex]265.9^{\circ}F[/tex]

Step-by-step explanation:

Given: The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes.

[tex]D = 338e^{-0.03t}[/tex]

At t= 8 minutes, we get

[tex]D = 338e^{-0.03(8)}\\\\\Rightarrow\ D = 338e^{-0.24}\\\\\Rightarrow\ D = 338(0.786627861067)\\\\\Rightarrow\ D = 265.88\approx265.9^{\circ}F[/tex]

The approximate temperature of the pan after it has been away from the heat for 8 minutes=   [tex]265.9^{\circ}F[/tex]


Related Questions

[tex]\frac{\sqrt[3]{60} }{\sqrt[3]{36} }[/tex]
Please show your work.

Answers

Step-by-step explanation:

[tex]\tt{} \frac{ \sqrt[3]{60} }{ \sqrt[3]{36} } [/tex]

[tex]\tt{} \frac{ \sqrt[3]{5} }{ \sqrt[3]{3} } [/tex]

[tex]\tt{} \frac{ \sqrt[3]{5} }{ \sqrt[3]{3} } \times \frac{ \sqrt[3]{ {3}^{2} } }{ \sqrt[3]{ {3}^{2} } } [/tex]

[tex]\tt{} \frac{ \sqrt[3]{5} \sqrt[3]{ {3}^{2} } }{ \sqrt[3]{3} \sqrt[3]{ {3}^{2} } } [/tex]

[tex]\tt{} \frac{ \sqrt[3]{5 \times {3}^{2} } }{ \sqrt[3]{3 \times {3}^{2} } } [/tex]

[tex]\tt{} \frac{ \sqrt[3]{5 \times 9} }{ \sqrt[3]{ {3}^{3} } } [/tex]

[tex]\tt{} \frac{ \sqrt[3]{45} }{3}[/tex]

[tex]\tt{}1.18563[/tex]

Write the expression without the fraction bar.

Answers

the answer is y^-1 :) when you have two exponents over a y in a fraction or divison, you always subtract the top from the bottom. hope this helps!

1. A company buys a digital scanner for $12,000. The value of the scanner is 12,000 (1 – 3) after n years. The
company has budgeted to replace the scanner when the trade-in value is $2,400. After how many years should the
company plan to replace the machine in order to receive this trade-in value?

Answers

Sorry not sure. :(((((

Graph triangle DEF with vertices D(-5,2), E(1,3), and
F(-4,-3). Then graph the image of the triangle after it
is translated 4 units right and 3 units down.
What are the vertices of triangle D'E'F?

Answers

Answer:

i think

E'(5,0)

D'(-1,-1)

F'(0,6)

a rectangular container, 12 cm long and 10 cm wide, is filled with water to a depth of 5 cm. find the volume of water in the container.
Plz i need help ASAP!!!!
Thank you!

Answers

Answer:

600 cm³

Step-by-step explanation:

12 x 10 = 120

120 x 5 = 600


Please help!!!!!!! I need it fast

Answers

Answer:

i believe that the answer is C 19cm

Answer:

I think A

Step-by-step explanation:

the circle is 6 cm and the circumference(the distance between the thing) is 9 cm

Evaluate the expression 4+x3. When x is 3.

a. 12
b. 36
c. 31
d. 49
??

Answers

Answer:

a

Step-by-step explanation:

The answer to the question is a

Area and radius!! VUGGFYFYTFTYFYTFTYCYTCYTFYT

Answers

Answer:

1. (-2, 3) 7

2. (5, 8) 5

3. (-6, 1/2) 2/3

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where the center is at point (h, k) and the r is the radius. Find the values that would fit the numbers in parenthesis to find the center of the circle, and take the squareroot of the number on the right side of the equation to find the radius.

lmk if im wrong, hope this helps!

what is the volume of this composite solid?
A. 156 cubic meters
B. 86 cubic meters
C. 136 cubic meters
D. 84 cubic meters

Answers

Answer:86

Step-by-step explanation:I did some math it’s 86 or 156 but I’m pretty sure it’s 86

Select the ratios that are equivalent to 11:1.
Choose 3 answers:
A-1:11
B-22:2
C-55:5
D-9:99
E-110:10

Answers

Answer:

i think the answer is B . 22::2

PLease help!!! I'll give brainliest and the rest!

Answers

17 is NOT a possibility :)

Answer:

I would say 21 because if you did the equation right the answer for be is 18. It could round to 17, 19,  20 but not 21.

Step-by-step explanation:

Hope this helps.

question should show! if it doesn't let me know

Answers

The shape has 6 faces

Answer:

there are 6 faces

Step-by-step explanation:

there are 4 faces around and 1 on to and 1 on the bottom

PLS I NEED RELLAY NEED HELP RIGHT NOW

Answers

Answer:

40%

Step-by-step explanation:

[tex]\frac{8}{20} = \frac{2}{5}[/tex]

[tex]\frac{2}{5} = 0.40[/tex]

0.40 = 40%

Determine the missing side length:
I will give 25 points for the answer!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

Use Pythagorean theorem

Base²+ altitude² = hypotenuse²

Base² + (√3)²   = (2√3)²

Base² + √3 *√3 = 2√3 *2√3

Base² + 3           = 4*3

Base² + 3           = 12

              Base²  = 12 - 3

              Base²  = 9

              Base    = [tex]\sqrt{9}=\sqrt{3*3} =3[/tex]

I need help on this please

Answers

She is so right Because said it bro

The answer choices are 11 1 2.48 6

Answers

Answer:

The ball reached its maximum height of ([tex]11\ yards[/tex]) in ([tex]1\ second[/tex]).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

[tex]h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6[/tex]

Now factor out the coefficient of the quadratic term:

[tex]h(t)=-5(t^2 -2t) + 6[/tex]

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

[tex]h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6[/tex]

Now take the balancing term out of the parenthesis:

[tex]\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))[/tex]

Simplify:

[tex]h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11[/tex]

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

[tex](1, 11)[/tex]

Audrey bought one pound of strawberries for $3.20. What is the price, in dollars per ounce of strawberries?

Answers

Answer: $0.20

Step-by-step explanation:

There are 16 ounces in 1 pound, so divide $3.20 by 16 to get the price of dollars/ounce

3.20/16 = $0.20/ounce

Answer:

$0.20 or 20 cents

Step-by-step explanation:

We know she pays $3.20 per pound, and that there are 16 ounces in a pound, so we can just divide to figure it out.

3.20 / 16 = 0.20

We can check our answer by doing the inverse of operations (multiplying)

16 x 0.20 = 3.20

So, she the price for an ounce of strawberries is $0.20 (20 cents). I hope this helps :)

If a box of 100 pencils
costs $4.25, what
would you expect to
pay for 224 pencils?

Answers

Answer:

$9.52

Step-by-step explanation:

4.25 divided by 100 gets you 0.0425 then multiply that number by 224

The answer to your question $9.25

which angle is complementary to ∠4?

Answers

it should be about 16 if i remember correctly, hope this helps!

Given the following equation answer each question below.
Is the following a growth or decay?
What is the domain?
What is the range?
What is the y-intercept? (enter answer as a point)
What is the asymptote? (enter answer as an equation)

Answers

Answer:

f(x)=

Step-by-step explanation:

Triangle DEG is congruent to triangle?

Answers

Answer:

ΔDEG ≅ ΔFGE

Side-Angle-Side

Step-by-step explanation:

DG ║ EF  because DG⊥DE and GF⊥EF

∠DGE ≅ ∠FEG because alternate interior angles of parallel lines are congruent

so Side-Angle-Side proves congruency

A recipe for banana bread calls for 4 bananas for every 8 cups of sugar. What is the ratio of bananas to cups of sugar

Answers

1:2 is the ratio of bananas to cups of sugar

Answer:

1:2 is the ratio

Step-by-step explanation:

Find the greatest common factor of 30, 70, and 20.

Answers

The greatest common factor is 10

Answer:

10

Step-by-step explanation:

10 goes into 30, 70, and 20.

pls help me


A movie theater sells snacks to 30% of its customers each day. On Saturday, 186 customers bought snacks. How many customers went to the theater on Saturday?


A. 242
B. 520
C. 558
D. 620​

Answers

Answer:

it would be A

Step-by-step explanation:

hopefully it helped


Which expressions are equivalent to the given expression?

Answers

Answer:

(a). and (b).

Step-by-step explanation:

Simplify Square Roots -

Find one perfect square and one imperfect square to multiply to the square root.

[tex] \sqrt{4 \times 10} = 2 \sqrt{10} [/tex]

[tex]40^{ \frac{1}{2} } = \sqrt[2]{(40) ^{1} } = \sqrt{40} [/tex]

[tex] \sqrt{40} \neq 4 \sqrt{10} [/tex]

[tex]160 ^{ \frac{1}{2} } = \sqrt[2]{160 ^{1} } = \sqrt{160} \neq \: \sqrt{40} [/tex]

[tex]5 \sqrt{8} \neq \: \sqrt{40} [/tex]

Item 11 Which points divide overline AB into segments with lengths in the ratios 1:3 or 3:1?

Answers

Answer:

(9, 2)

Step-by-step explanation:

What point divides the directed line segment ​ AB¯¯¯¯¯ ​ ⁢ into a 3:1 ratio?

coordinate plane with segment A B with A at (0, 2) and B at (12, 2)

(3, 2)

(4, 2)

(8, 2)

(9, 2)

Solution:

If point O(x, y) divides the line segment AB with endpoints A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) in the ratio n:m, the coordinates of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

Let us assume C(x, y) is the point that divides  segment A B with A at (0, 2) and B at (12, 2) in the ratio 3 : 1. Hence:

[tex]x=\frac{3}{3+1}(12-0)+0=\frac{3}{4}(12)=9 \\\\y=\frac{3}{3+1}(2-2)+2=\frac{3}{4}(0)+2=2[/tex]

Therefore the coordinate of point C is at (9, 2).

On a coordinate plane, a line goes through (0, 3) and (3, negative 1). A point is at (negative 3, 2).
What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?

Answers

Answer:

Step-by-step explanation:

Slope of line passing through (0, 3) and (3, -1) = (-1-3)/(3-0) = -4/3

Slope of any parallel to the line is also -4/3.

Point-slope equation for line of slope -4/3 that passes through (-3, 2):

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

Points Q and P on the coordinate grid below show the positions of two midfield players of a soccer team: Coordinate grid shown from negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. From the origin, point P is 1.5 units to the left and 3 units down. From the origin, Q is 1.5 units to the left and 3 units up Which statement best describes the relationship between the positions of the two midfield players?

Answers

Answer:

yaaaaas i think it is c

Step-by-step explanation:

Answer:

Q is P reflected across the x-axis; only the signs of the y-coordinates of P and Q are different.

Step-by-step explanation:

Hope this helped :)

Sarah can spend at most $9.00 on oranges and almonds. She buys a bag of oranges for $3.50. At most, how much can Sarah spend on almonds?

Answers

Subtract the cost of the oranges from what she can spend:

9.00 - 3.50 = 5.50

At most she can spend $5.50

120 < 12k + 29 need help plz answer for 15 points

Answers

1000 this is because it is the right one

Answer:

k>91/12

Step-by-step explanation:

120<12k+29

12k>120-29

12k>91

k>91/12

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