Let f(t) represent the temperature of a turkey baking in an oven as a function of time t in the oven (in minutes). This means time is the independent variable and temperature of the turkey is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the temperature of the oven stays constant.

Explain the meaning of each statement in the context of the situation using everyday language. Remember that the input of the function t is the time in the oven and the output f(t) is the temperature of the turkey at that time.

1. f(0) = 50. (8 points)

2. f(120) > f(60). (8 points)

3. f(360) = f(345). (7 points)

4. f(390) < f(360). (7 points)

Answers

Answer 1

Answer:

Step-by-step explanation:

1. f(0) = 50. (8 points)  The beginning temperature of the turkey was 50 degrees.  The '0' represents "beginning."

2. f(120) > f(60). (8 points)  The temperature of the turkey after 120 min (2 hours) is greater than that after 60 minutes (1 hour).

3. f(360) = f(345). (7 points)  The temperature of the turkey is the same after 360 minutes as it is after 345 minutes.

4. f(390) < f(360). (7 points)

The temperature of the turkey drops after 360 minutes (6 hours), because the turkey is taken out of the oven and/or the oven is turned off.


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Erica is using the storage container below. What is the volume if the storage container?

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Answer:

7

Step-by-step explanation:

1x2=2x3/1/2= 7

Answer:

7

Step-by-step explanation:

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Answer:

75 divided by 15 = 5 undershirts.

What is the measurement in the diagram?

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9514 1404 393

Answer:

  (a)  132

Step-by-step explanation:

Exterior angle DBA is the sum of the remote interior angles D and C.

  ∠DBA = 65° +67°

  ∠DBA = 132°

Find the length of the arc. Round your answers to the nearest tenth.

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Answer:

89.5 cm

Step-by-step explanation:

circumference of full circle = π2r = 3.14 x 2 x 19 = 119.32 cm

(270/360)(119.32) = 89.5 cm

I’ll give brainiest!
What is the length of BD?
Round to one decimal place.
С
3.4
6.5
D
?
8
0 0
A
4.9
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Answers

Answer:

[tex] BD \approx 2.6[/tex]

Step-by-step explanation:

By angle bisector theorem:

[tex] \frac{3.4}{BD} = \frac{6.5}{4.9} \\ \\ BD = \frac{3.4 \times 4.9}{6.5} \\ \\ BD = \frac{16.66}{6.5} \\ \\ BD = 2.56307692 \\ \\ BD \approx 2.6[/tex]

Shelley has a nickel and a penny and flips each coin. What is the probability that she will get tails on each coin?

Answers

Answer:

The probability of both coins landing on tails is 25%

Step-by-step explanation:

A coin toss is a 50% chance to get on either side, if you toss 2 coins that probability is cut in half and becomes a 25% chance to get both of the coins to land on the same side.

Please answer!! No links!! Thx :D

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Answer:

60 seconds

Step-by-step explanation:

The y-intercept is 60

At sunrise the temperature was -12 C. By sunset the temperature had increased 5 degrees. What is the temperature at sunset? *At sunset the temperature was 19 C. By sunrise the temperature had decreased 4 degrees. What is the temperature at sunrise?

Answers

Answer:

-17°C at sunset

15°C at sunrise

Triangle PRT - status, TS - its higher. Based on the data in the drawing, calculate the length of the altitude drawn from the vertex R to the extreme PT.

Answers

Answer:

16 cm

Step-by-step explanation:

We're to find the length of RT.

Apply the leg rule which is given as,

Hypotenuse/leg = leg/part

Hypotenuse = PR = 7.2 + 12.8 = 20 cm

Leg = RT

Part = 12.8 cm

Plug in the values

20/RT = RT/12.8

Cross multiply

RT*RT = 20*12.8

RT² = 256

RT = √256

RT = 16 cm

the area is approximately __ square units,.

use 3.14 for pi

Answers

757 units squared. Here is work:

Which equation describes a line that passes through the point (-6, 2) and is parallel to
the line represented by 2y - 4x = 10?
Anyone know??

Answers

Answer:

y = 2x +14

Step-by-step explanation:

2y - 4x = 10

=> 2y = 4x + 10

=> y = 2x + 5

          ↑ the slope of this equation

parallel lines have the same slope, thus, the equation in the 4 options must have the same slope: 2.

plug in point (-6, 2) & the slope "2" into the equation: y = ax + b   to find "b."

=> 2 = -6(2) + b

=> b = 14

plug in the slope "2" and the y-intercept(or b) "14" into the equation: y = ax + b

=> y = 2x +14

Help!
I really need this A!!

Answers

Answer:

2 * 2 * 2 * 2 * 2 * 2, 4 * 16, 8 * 8.

Step-by-step explanation:

To make this easier, let's find the values of all the answers.

2^6 = 64.

So now we compare the values.

6 * 6 * 6 * 6 * 6 * 6 = 46656.

2 * 2 * 2 * 2 * 2 * 2 = 64.

2 * 6 = 12.

4 * 16 = 64.

12 * 12 = 144.

8 * 8 = 64.

Answer:

22222241688

Step-by-step explanation:

I think I think I think

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Answer:

,,,,,,,,,,,,,,,,,,,,

1 What is the solution to the system of equations? (2 Points) x + y = 8 and - x + 3y = 4 O a. (-2, 10) O b. (10,-2) c. (3,5) O d. (53)​

Answers

Answer:

(5 , 3)

Step-by-step explanation:

x + y = 8 ----------------(I)

-x + 3y = 4 ----------(II)

Add equation (I) and (II) and so x will be eliminated and we can find the value of y

(I)      x + y    = 8

(II)   -x   + 3y = 4  

             4y = 12  {Divide both sides by 4}

y = 12/4

y = 3

Plugin y = 3 inn equation (I)

x + 3 = 8 {Subtract 3 from both sides}

     x = 8 -3

x = 5

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Given:

In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G  is 110 degrees.

To find:

The measure of angle FEG.

Solution:

Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.

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[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]

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[tex]11x=110^\circ[/tex]

[tex]x=\dfrac{110^\circ}{11}[/tex]

[tex]x=10^\circ[/tex]

Now,

[tex]m\angle FEG=5x[/tex]

[tex]m\angle EFG=5(10^\circ)[/tex]

[tex]m\angle EFG=50^\circ[/tex]

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write a quadratic function in the given form whose graph satisfies the given condition.
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Answers

Answer:

[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]

Step-by-step explanation:

We want to find a quadratic that passes through the points:

[tex](-4, 0), \, (2, 0), \text{ and } (6, -20)[/tex]

In intercept form.

First, note that the first two given points are the x-intercepts of our quadratic. Intercept or factored form is given by:

[tex]y=a(x-p)(x-q)[/tex]

Where p and q are the x-intercepts, and a is the leading coefficient.

So, we will substitute -4 and 2 for p and q:

[tex]y=a(x-(-4))(x-(2))[/tex]

Simplify:

[tex]y=a(x+4)(x-2)[/tex]

Next, the third point (6, -20) tells us that y = -20 when x = 6. So:

[tex](-20)=a(6+4)(6-2)[/tex]

Solve for a:

[tex]-20=10(4)a\Rightarrow 40a=-20[/tex]

Thus:

[tex]\displaystyle a=\frac{-20}{40}=-\frac{1}{2}[/tex]

Hence, our equation in intercept from is:

[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]

Which expression is equivalent to 2w?

Answers

Answer:

w + w

Step-by-step explanation:

w + w   * 1 is the coefficent of w *

1w + 1w

(1+1) w

2w

Answer:

w+w

Step-by-step explanation:

There are 20 donuts in 4 boxes.

How many donuts are in each box?

Answers

Answer:

5

Step-by-step explanation

20 divided by 4 equals 5

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Answer: 40%

Step-by-step explanation:

Select all that are equivalent to the expression x^-1/3

Answers

Answer:

1/∛x

Step-by-step explanation

Based on the therem of power of exponents;

a^-m = 1/a^m

Given the expression

x^-1/3

On comparison, you ca see that;

a = x

m = 1/3

Substitute into the general formula;

x^-1/3 = 1/a^1/3

Also, [tex]a^{\frac{1}{x} } = \sqrt[x]{a}[/tex]

Hence;

[tex]\frac{1}{x^{\frac{1}{3} } } = \frac{1}{\sqrt[3]{x} }[/tex]

This that the required expression is 1/∛x

Hallar el valor del cateto a


a.
6.56


b.
2.48


c.
3.75


d.
5.07

Answers

Answer:

a = 5.07

Step-by-step explanation:

Here, we want to get the value of the side marked a

What we have is a right triangle

so, to find the value of a, we are to use the correct trigonometric ratio

The angle given faces a, which makes a the opposite

the side measure faces the right angle and that makes it the hypotenuse

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mathematically;

sine 25 = a/12

a = 12 * sine 25

a = 5.07

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Answers

Answer:

When you have two negative signs, one turns over, and they add together to make a positive. If you have a positive and a negative, there is one dash left over, and the answer is negative.

Step-by-step explanation:

Answer:

There is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.

Step-by-step explanation:

the correct answer

Help me please 12x-30​

Answers

Answer:

-360

Step-by-step explanation:

Answer:

-360

Step-by-step explanation:

yes is it correct.................

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slope of 3/2 ?

Answers

Answer

y= 1.5x+4

Step-by-step explanation:

In the given ∆ABC, DE || BC. What is the value of x?
A)12 in.
B)16 in.
C)20 in.
D)30 in.​

Answers

Answer:

I think B is the correct answer, sorry im not very good with math tho.

Step-by-step explanation:

Sorry if its incorrect

Please help!
(its the picture)

Answers

Answer:The answer is A

Step-by-step explanation:

Use the quadratic formula

=

±

2

4

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

7

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

7

b={\color{#e8710a}{-7}}

b=−7

=

1

8

c={\color{#129eaf}{-18}}

c=−18

=

(

7

)

±

(

7

)

2

4

5

(

1

8

)

2

5

x=\frac{-({\color{#e8710a}{-7}}) \pm \sqrt{({\color{#e8710a}{-7}})^{2}-4 \cdot {\color{#c92786}{5}}({\color{#129eaf}{-18}})}}{2 \cdot {\color{#c92786}{5}}}

x=2⋅5−(−7)±(−7)2−4⋅5(−18)​​

2

Simplify

3

Separate the equations

4

Solve

Solution

=

7

±

4

0

9

1

0

Roger has two dogs which are named Sparky and Cookie. The relationship of Sparky’s age, s, and Cookie’s age, c, can be represented by the equation shown below. s = c + 4 *

Answers

Answer:

sparky is 4 years older than cookie

__________________________

hope this helps, I wasn't entirely certain what the question was.

Trever was 36 years old five years ago. How old is he now?

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he’s 41 now
just add 5 to his age
Trever is 41 years old now

Javier researched how much his baseball team made in concession stand sales during the last 6 games.
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Part A:
Calculate the measure of center--the median and the mean of the data Javier gathered.
Part B:
Using the calculations you made in Part A, explain which measure would be more representative of Javier's data.
B
The calculations you make in Part A ,  which measure would be more Representative of Javier's data

Answers

a day before I got back in my room I had my phone on the

A local merchandized car wash can clean 51 vehicles in 1.5 hours. At this rate how many vehicles can the car wash clean in 12 hours

Answers

Answer:

408 Cars

Step-by-step explanation:

Dividing 12 Hours by 1.5 hour

= 12/1.5 = 8

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=51 x 8

= 408 cars  

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