A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 425°F in a room that is constant 74°F. After 5 minutes, the pizza pan is at 300 °F



A) at what time is the temperature of the pan 130°F ?


B) determine the time that needs to elapse before the pan is 180°

Answers

Answer 1

Answer:

9:11:48 p.m

9.8 minutes

Step-by-step explanation:

We Obtian the slope of the relation :

Slope = Rise / Run

(0, 425) ; (5, 300)

x2 = 0 ; y2 = 425 ; x1 = 5 ; y1 = 300

(425 - 300) / (0 - 5)

125 / - 5

= - 25

The intercept :

y = mx + c

425 = - 25(0) + c

425 = 0 + c

c = 425

The equation becomes :

y = - 25x + 425

Temperature at 130

130 = - 25x + 425

130 - 425 = - 25x

-295 = - 25x

x = 11.8

9:00 + 11.8 = 9:11:48 p.m

B.)

180 = - 25x + 425

180 - 425 = - 25x

-245 = - 25x

x = 9.8 minutes


Related Questions

(x^2 + 2x + 2)(x + 5) = 0

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x=-5, -1+i, and -1 -i
Is the answer

What is an equation of the line that passes through the point (-6,-1) and is perpendicular to the line 6x-y=7

Answers

Answer:

y=-1/6x-2

Step-by-step explanation:

Lets find the slope of the given line

6x-7=y,m=6

The slope of the perpendicular line would be=-1/6

Using the point-slope form y-y1=m(x-x1)

y--1=-1/6(x--6)

y+1=-1/6(x+6)

6y+6=-x-6

6y=-x-6-6

6y=-x-12

y=-1/6x-2

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What is the constant of proportionality of this sentence? Sarah bought 3 pounds of grapes for $2.25. Ban bought 4 pounds of grapes for $3.00.

Answers

Answer:

75

Step-by-step explanation:

Each pound costs 75¢ so by each pound it increases by 75¢

describe and find the slope of the line

Answers

2.75 the correct answer

A certain substance in an experiment was being stored at −1.7°F. It was then placed on a table where the temperature was raised by 3.1F
What was the new temperature of the substance?
the answers are
-4.8F
-1.4F
1.4F
4.8F

Answers

1.4F. When you add 3.1 to -1.7 you get 14F

Answer:

The answer is 1.4.

Step-by-step explanation:

PLEASE HELP IM STUCK ON THIS ONE ​

Answers

Answer:

1. 1/200

2. 15/2

3. 11/36

4. 8/5

Step-by-step explanation:

Could someone please help answer this, please no spam, thank you, will give brainliest (homework help)!

Answers

Answer:

Step-by-step explanation:

and y represents the number of tiles), which figure number has 40 tiles in it?
For a tile pattern with the rule y = 6x+4 (where x represents the figure number
How do you know?

Answers

Figure Number 6 has 40 tiles

Y=6x+4 (plug 40 in for y)
40=6x+4 (subtract 4 from each side)
36=6x (divide by 6)
6=x

What is the value of 32.5 ÷ 4.5 × − 4.5 , written as a decimal?
giving brainly

Answers

Answer:

-32.5 hope this helps:)

The answer is (-32.5)

The 4.5 both cancel each other out

solve the inequality x/2-5>4

Answers

Answer:

x>18

Step-by-step explanation:

[tex]\frac{x}{2} -5>4\\\\\\\frac{x}{2} >9\\\\\\\\x>9(2)\\\\\\x>18[/tex]

I NEED SOME HELP! Please? Lines a and b lie in the standard (x,y) coordinate plane. An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of line a. What is the slope of line b?


0.35

0.05

0.015

3.0

500


In the standard (x,y) coordinate plane, which of the following lines are perpendicular to the line 2y = 3x + 1?


y = - 2/3x + 3

y = -3/2x - 1

y = 2/3x - 1

y = 3/2x + 2

y = 2/3x + 1

Answers

a. Just add 0.2 to 0.15 in equation a. y = mx + b shows that m is the slope. Answer would be 0.35.

b. 2y = 3x + 1

y = 3x/2 + 1/2

Perpendicular = negative reciprocal of original function's slope.

3/2 -> -2/3x.

Only the first one fulfills the equation, thus:

-2/3x + 3.

(1) The slope of line b is 0.35. The correct option is A.

(2) The equation perpendicular to the line y = - 2/3x + 3. The correct option is A.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

(1) An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of the line.

The slope of line b,

b = 0.2 + a

b = 0.2 + 0.15

b = 0.35

(2) The equation of the line perpendicular to the line 2y = 3x + 1 is calculated as:-

The slope of the line perpendicular to the other line is the opposite reciprocal. The equation will be,

y = -2/3x + 3

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Plz help ASAP <3

james draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper. what is the equation of the line?

A) y= 5/3 x + 3

B) y=5/3 x - 5

C) y=3/5 x - 5

D) y= 3/5 x + 3

Answers

Answer:

the answer is D

Step-by-step explanation:

yeah-ya..... right?

The equation of line will be;

⇒ y = - 3/5x + 3

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

James draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper.

Now,

Since, James draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper.

Hence, The slope of the line = - 3/5

And, The y - intercept = 3

Thus, The equation of line will be;

⇒ y = - 3/5x + 3

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A biologist is developing two new strains of bacteria. Each sample of Type 1 bacteria produces four new viable bacteria, and each sample of Type II bacteria produces three new viable bacteria. Altogether, at least 240 new viable bacteria must be produced. At least 20, but not more than 60, of the original samples must by Type I. Not more than 70 of the original samples can be Type II. A sample of Type I costs $5 and a sample of Type II costs $7. How many samples of each bacteria should the biologist use to minimize the cost? What is the minimum cost?

Answers

The cost can be optimized by using a Linear Programming given the  linear constraint system

To minimize the cost, the biologist should use 60 samples of Type I bacteria and 0 samples of Type II bacteria

Reason:

Let X represent Type 1 bacteria, and let Y, represent Type II bacteria, we have;

The constraints are;

4·X + 3·Y ≥ 240

20 ≤ X ≤ 60

Y ≤ 70

P = 5·X + 7·Y

Solving the inequality gives;

4·X + 3·Y ≥ 240

[tex]Y \geq 80 - \dfrac{4}{3} \cdot X[/tex] (Equation for the inequality graphs)

The boundary of the feasible region are;

(20, 70)

(20, 53.[tex]\overline 3[/tex])

(60, 0)

(60, 70)

The cost are ;

[tex]\begin{array}{|c|c|c|}X&Y&P= 5\times X + 7 \times Y\\20&70&590\\20&53.\overline 3&473.\overline 3\\60&0&300\\60&70&790\end{array}\right][/tex]

Therefore, the minimum cost of $300 is obtained by using 60 samples of Type I and 0 samples of Type II

Learn more here:

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Help help me pleaseee and thanks

Answers

Answer:

10

Step-by-step explanation:

sqrt. 100 = 10

because base x height = area

base and height must be same length in a square

edin has £300 in his saving account.
his bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years.
how much interest will he have earned after 3 years?

Answers

Answer:

$45

Step-by-step explanation:

300/100 = $3 = 1%

$3 x 5 = $15 = 5%

$15 x 3 years = $45

They answer is 45, Hopes this helps

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13523273748164828482747264

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A number added to three is the same as twice the number. Find the number. Round your answer to the nearest integer, if necessary.

Answers

Step-by-step explanation:

let the number be x

x +3= 2x

collect the like terms

x-2x= -3

-x = -3

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Which of the following best describes the slope of the line below?
O A. Zero
B. Negative
C. Positive
D Undefined

Answers

Answer:

B

Step-by-step explanation:

going down on the right

Answer:

B

Step-by-step explanation:

Aline with zero slope is a horizontal line parallel to the x- axis

A line with undefined slope is a vertical line parallel to the y- axis

A line sloping upwards from left to right has a positive slope

A line sloping downwards from left to right has a negative slope.

The line shown slopes downwards from left to right and has a negative slope

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Answer:

I'm a Cancer lol.

Step-by-step explanation:

Answer:

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Step-by-step explanation:

The ratio of red marbles to blue marbles in a bag is 6:7. How many red marbles are there if there are 364 total marbles in the bag?

Answers

Answer:

162

Step-by-step explanation:

6x+7x=364 suppose

13x=364

X=364/13=27

then,

red marbles=6x

=6×27=162

Answer:

162

Step-by-step explanation:

8 /13 convert the following rational number into decimal form​

Answers

Answer:  0.615

Step-by-step explanation:

actually do the division.

you will need a calculator most of the time.

8/13 = 0.615

Evaluate (2-5i)(p+q)(i) when p= 2 and q=5i

Answers

Answer:

it's 25qr 78 5×4 and then 12÷5= 2r28

I am cooking a recipe. It requires 7/2 of sugar. I only have a 1⁄4 cup to measure the sugar with. How many quarter cups would I need to measure the correct amount of

Answers

Answer:

14

Step-by-step explanation:

Convert [tex]\frac{7}{2}[/tex] to a fraction with a common denominator

[tex]\frac{7}{2} (\frac{2}{2} )=\frac{14}{4}[/tex]

You now divide the fractions to find the amount of correct measurements needed.

[tex]\frac{\frac{14}{4} }{\frac{1}{4} }[/tex] For dividing by a fraction it is the same a multiplying by its reciprocal.

This becomes [tex]\frac{14}{4} (\frac{4}{1} )=\frac{14}{4} (4)=14[/tex]

You will need 14 correct measurements.

Ksjdjfnfkdkdklddkdkfjfnfnfnnffk

Answers

Answer: X = 20

Step-by-step explanation:

Answer: X = 20

Step-by-step explanation:

To get this

3 * 20 + 12 = 20

3*20=60

60+12=72

72

Which of the following represents the function graphed? F(x)=1/2 x f(x)=x f(x)= x+2

Answers

Since the graph is located about the origin and increase 1 to 1 the answer is
F(x)=x

what is x/y+z=w to make x the subject of the formula

Answers

Answer:   x = w (y + z)

Step-by-step explanation:

We can make x the subject of the equation by moving all the other terms to the opposite side of the equal sign while x is on the next.

  x/y+z=w                       [multiply both sides by y+z]

        x = w (y + z)

ab + Bbc, a=0. b = -6, and c = 5​

Answers

Answer:

180

Step-by-step explanation:

0 x -6 + -6 x -6 x 5

   0      +       180 = 180

help plz ill give u BRAINEST ​

Answers

Answer:

First option, relation 1 and relation 4

Step-by-step explanation:

Because they both cross one of the two axes once, which from what I remember, makes it a function.

Hope this makes sense, and please correct me if I'm wrong :)

solve the inequality. -1/3w ≤ -5​

Answers

Answer:

[tex] \frac{ - 1}{3} w \leqslant - 5[/tex]

[tex]w \leqslant - 5 \div \frac{ - 1}{3} [/tex]

[tex]w \leqslant - 5 \times - 3[/tex]

[tex]w \leqslant 15[/tex]

2c–8°, 3c–14°, and c+15°

solve for c

Answers

Answer:

Simplifying

c + -2 = 3c + 14

Reorder the terms:

-2 + c = 3c + 14

Reorder the terms:

-2 + c = 14 + 3c

Solving

-2 + c = 14 + 3c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-3c' to each side of the equation.

-2 + c + -3c = 14 + 3c + -3c

Combine like terms: c + -3c = -2c

-2 + -2c = 14 + 3c + -3c

Combine like terms: 3c + -3c = 0

-2 + -2c = 14 + 0

-2 + -2c = 14

Add '2' to each side of the equation.

-2 + 2 + -2c = 14 + 2

Combine like terms: -2 + 2 = 0

0 + -2c = 14 + 2

-2c = 14 + 2

Combine like terms: 14 + 2 = 16

-2c = 16

Divide each side by '-2'.

c = -8

Simplifying

c = -8

Step-by-step explanation:

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