Graham uses a hot water bottle on an injury to his back he incurred playing basketball. He fills the bottle with water that is 100°F. After 25 minutes, Graham finds that the bottle has cooled and stops using it. What is the domain and range?

Answers

Answer 1

Answer:

Domain= time

Range= temperature

Step-by-step explanation:

Initially hot water cools down over time.

This can be expressed as a function of a temperature by a time. It takes 25 minutes for water to cooled down from 100°F to body temperature.

For any value of the time (from zero to 25 minutes), the temperature has certain value (from 100°F to body temperature). As time value increases, temperature value decreases accordingly.

In this example, time is the domain and temperature is the range.


Related Questions

a rectangle is 12 in wide and 18 in tall.if it is reduce to a height of 3 inches, then how wide will it be?

Answers

Answer:

2 in

Step-by-step explanation:

18/3=6 , 6 is the scale factor

12/6=2

Answer:

width= 2

Step-by-step explanation:

18 inches is the original height and we are now reducing that to 3 inches.

In order to do that, we have to divide 18 by 3 which equals 6.

Next, take the width of the rectangle, which is twelve and divide it by the scale factor of 6 which  equals 2.

Your final answers should be: width= 2

6 points are placed on the line a , 4 points are placed on the line b . How many triangles is it possible to form such that their vertices will be the given points, if a ∥ b ?

Answers

Answer:

7

Step-by-step explanation:

Given line a with 6 points on it, and line b with 4 points on it. Line a is parallel to line b, such that the two lines do not meet at any point even when extended.

Join the first point on line a to that on b, then back to the second point on a, return back to the second point on b, and continue till the line stops at the 5th point on line a. This forms triangles with vertices at the given points on the lines. The possible number of triangles that can be formed is 7.

please help me Find the volume of this shape.

Answers

Answer:

240 m^3

Step-by-step explanation:

It's a cuboid with a volume=l*b*h, where l, b, h are the dimensions of the shape.

Volume=5*12*4=240 m^3

Answer:

V =240 m^3

Step-by-step explanation:

The volume is given by

V = l*w*h  where l is length w is width and h is height

V = 12*4*5

V =240 m^3

Find the value of |5| - 4(32 - 2).

Answers

Answer:

115

Step-by-step explanation:

5 - 4(30)

5 - 120

115

Answer:

-115

Step-by-step explanation:

Since anything in between those two lines (absolute value) always comes out positive and the five inside there is already positive, we don't need to worry about it.

First let's look at what's inside the parenthesis.

5 - 4(32 - 2)

= 5 - 4(30)

Next, we'd multiply. (I'm going by PEMDAS)

5 - 120

Now that we've done that we just need to subtract. Generally, 120-5=115, so, we just need to make it negative.

Hope this helps!! <3 :)

The following shape is based only on squares, semicircles, and quarter circles. Find the area of the shaded part.

Answers

Answer:

The area of the shaded part is 36.53 cm²

Step-by-step explanation:

The dimension of the side of the square ABCD = 8 cm

The shaded part is seen to be the area of intersection of two quarter circles

The dimension of the radius of the quarter circles = The side length of the square

Therefore;

The dimension of the radius of the quarter circles = 8 cm

The figure can be taken as being formed by the two quarter circles with a square removed

The shaded area is the

Therefore, the area of the shaded part Sₐ, is given by the relation;

Sₐ = Area of first quarter circle + Area of second quarter circle - Area of the square

Given that the dimensions (radius) of the two quarter circles are the same, we have;

Area of first quarter circle = Area of second quarter circle = (π × 8²)/4 cm²

Area of the square = (Side length of the square)² = 8² = 64 cm²

Sₐ =  (π × 8^2)/4 + (π × 8^2)/4 - 64 = 36.53 cm²

The area of the shaded part = 36.53 cm².

x = 1, 2, 3 , 4 ,5
y = 15, 12, 9, 6, 3
Write an equation which describes the rule in the following table:

Answers

X goes by 1s

And y goes by 3s

Answer:

y = -3x + 18

Step-by-step explanation:

We can see:

x- values increase by 1 unity- values decrease by 3 units (slope is -3).

This is a linear relationship. Use point-slope form to find the equation:

y - 15 = -3(x - 1)y = -3x + 3 + 15 y = -3x + 18

What is an equation of the line that passes through the points (-2,8) and (1, -1)? ​

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - 8 / 1 - (-2)

-9/3

= -3

y = -3x + b

-1 = -3(1) + b

-1 = -3 + b

2 = b

What is the image of (4,-7) after a reflection over the line y=x

Answers

Answer:

(-4,7)

Step-by-step explanation:

solved by graphing

2. Describe the means-extremes property.

Answers

Step-by-step explanation:

For example:

Ex: 2:3 :: 6:9

In this question, the means are 3 and 6.

The extremes are 2 and 9.

We use this method to find whether the two ratios are equal or not.

We multiply the means and the extremes, and if there products are same, then these two ratios are proportional.

If these two ratios are proportional, their "means" = "extremes"

=> Means = Extremes

=> 3 x 6 = 2 x 9

=> 18 = 18

So, these two ratios are proportional.

Hope this helps you.

simplify (5^0+4^-0•5)^2​

Answers

Answer:

anything raised to the power of zero= 1

(1+1/4^½)²

(1 + 1/2)²

(3/2)²

9/4

=2.25

Tommy started a business in the year 1991. He got $44,000 profit in the first year. Each year his
profit decreased by 3%. Identify an exponential decay model to represent his decreasing annual
profit in the business?

Answers

Answer= decreasing annual profit in the business

are $13200.

Answer:

[tex]P = 44,000(.97)^{t}[/tex]

P=Profit

t=years

Step-by-step explanation:

[tex]P = 44,000(.97)^{t}[/tex]

P=Profit

t=years

Need help with VOCAB!!! Please make sure it's correct

Answers

Hey there!

I believe your answer would be a transformation, and not a translation.

A transformation is an operation that moves, flips, or otherwise changes a figure to create a new figure.

Hope this helps!

Have a wonderful day! :)

(3x)2 – 7y2, when x = 3 and y = 2

Answers

[tex]3 \times 3 \times 2 - 7 \times 2 \times 2 \\ 18 - 28 \\ - 10[/tex]

Answer:

115

Step-by-step explanation:

(3x)^2 – 7y^2

Plug in:

(3×3)^2 – 7×2^2

9^2 - 14^2

81 - 196

115

Hope this helped.

Someone help pleasee

Answers

Answer: 2

Step-by-step explanation: if you use a calculator or you could use paper and pencil write out the expression and you should get 2

Solve for x. 7^8 = 7^8 * 7^x

Answers

Answer:

x=0

Step-by-step explanation:

Lemma 1: 1a=a

Holds true for any real number a.

7^0=1

x=0

A set of furniture was sold for GH cedis 3000 at a profit of 25%. Find the cost price.

Answers

Answer:

2400GH Cedis

Step-by-step explanation:

[tex]Selling \:price = 3000gh Cedis\\Profit \% = 25\%\\Cost\:price =?\\\\CP =\frac{ ( Selling\:price \times 100 )}{ ( 100 + percentage profit)} \\\\C.P = \frac{3000\times 100 }{100+25}\\\\ C.P = \frac{300000}{125} \\\\Cost\: Price = 2400gh Cedis[/tex]

For all x, 5-3(x-4)=?

Answers

Answer:

the answer that i find is 17-3x

Jill can type 28 words per minute. At this rate, how many words can Jill type in 5.5 minutes?
A.
154

B.
157
C.
159
O
D.
162

Answers

Answer:

A

Step-by-step explanation:

Multiply 28 by 5.5

28 × 5.5 = 154 words → A

Answer:

the awnser is a=154

hope that helps

Step-by-step explanation:

can u give me brainliest

1: The best statement for reason 6 of this proof is -∠A ≅ ∠C
-∠B ≅ ∠D
-∠B and ∠D are supplements
-∠B ≅ ∠B

2.The best reason for statements 3.5. and 7 in this proof is
- Alternate interior angles are congruent.
-Corresponding angles are congruent.
-Alternate exterior angles are congruent.
-Interior angles on the same sides of a transversal are supplements.

3. The best statement for reason 8 of this proof is
-∠B ≅ ∠B -∠A and ∠C are supplements.
-∠B ≅ ∠D
-∠A ≅ ∠C

Answers

Answer:

1) -∠B ≅ ∠D

2) -Interior angles on the same side of a transversal are supplementary

3) -∠A ≅ ∠C

Step-by-step explanation:

1) Given that ∠A and ∠B are supplements and ∠A and ∠D are supplements, we have; ∠B ≅ ∠D

2)  Given that ABCD is a parallelogram, therefore ∠A and ∠B,  ∠A and ∠D and ∠B and ∠C  are interior angles on the same side of a transversal and are therefore supplementary

3) Given that ∠A and ∠B and ∠B and ∠C are supplementary, therefore, ∠A ≅ ∠C.

Find all of the missing angles of sides of the triangle below. Note that side lengths are in centimeters. Show and/or explain your work thoroughly and round answers to the nearest hundredth if needed.

Answers

Answer:

c=19.21

<C=90

<B=38.66°

<A=51.34

Step-by-step explanation:

12²+15²=c²

144+225=c²

c=19.21

<C=90

For angle B, the sinB=Opposite over Hypotenuse

sinB=12/19.21

sinB=0.62467

B=sin^-1(0.62467)

<B=38.66°

To find A, 180-90-38.66

<A=51.34

mila has 9 buttons mia has 225 mia has how many times as many buttons as mila?

Answers

Answer:

25

Step-by-step explanation:

divide mia's buttons by mila's

225 / 9

=25

Answer:

Step-by-step explanation:

225 ÷ 9 = 25

Mia has 25 times as many buttons as Mila

Calculate the mass of 245 mL of benzene if the density of benzene is 0.8765 g/mL.

Answers

Answer: 214.7425g

Step-by-step explanation:

Total benzene = 245mL

Density of benzene = 0.8765g/mL

Which means there is 0.8765g benzene per mL

Mass = 245×0.8765

= 214.7425g

Therefore there is 214.7425g of mass in 245mL benzene

Must click thanks and mark brainliest

If the density of benzene is 0.8765 g/mL, the mass of benzene is 214.74 grams.

Given the following data:

Density of benzene = 0.8765 g/mL Volume of benzene = 245 mL

To find the mass of benzene:

Density is mass all over the volume of a substance or an object.

Mathematically, the density of a substance is given by the formula;

[tex]Density = \frac{Mass}{Volume}[/tex]

Making mass the subject of formula, we have;

[tex]Mass = Density[/tex] × [tex]Volume[/tex]

[tex]Mass = 0.8765[/tex] × [tex]245[/tex]

Mass = 214.74 grams.

Therefore, the mass of benzene is 214.74 grams.

Read more: https://brainly.com/question/18320053

ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z = x - y.
A
B
(x+30)° (x-30)
(y+20)
D
С

Answers

Answer:

(x+30)+(x-30)=180

2x=180

x=90

x+30=y+20

90+30=y+20

y=100°

There for z = -10

-10 the top answer is correct

How many equations are thereof: 70 divided by h equals 10?
What are those equations?

Answers

Answer:

We have:

"70 divided by h equals 10"

We can write it in only one equation:

70/h = 10.

This is a rational equation because our variable is in the denominator of a quotient.

To solve it we can multiply by h on both sides of the equation and get:

(70/h)*h = 10*h

70 = 10*h

now we divide both sides by 10.

70/10 = (10*h)/10

7 = h.

ac circular runway has a radius of 100 m.Find the distance covered by a person in one complete rotation .​

Answers

Answer:

628m

Step-by-step explanation:

Given radius=100m

distance=circumference

=2pie r

=2×22/7×100

=628m

please mark me brainliest

. In an extra-curricular club with 15 members,7 people played rugby, 6 people played soccer and 4 people neither play rugby nor soccer. How many people played both rugby and soccer?

Answers

Answer:

2

Step-by-step explanation:

In the above question, we are given the following information:

Total member in the club = 15

Rugby = n(R) = 7

Soccer = n(S) = 6

Neither Rugby nor Soccer = 4

Rugby and soccer = n( R ∩ S) = (Unknown)

Total number of club members = n(R) + n(S) - n( R ∩ S) + Neither Rugby nor soccer

15 = 7 + 6 - n( R ∩ S) + 4

15 = 17 - n( R ∩ S)

15 - 17 = - n( R ∩ S)

-2 = - n( R ∩ S)

n( R ∩ S) = 2

Therefore, the number of people that played both rugby and soccer is 2

A. Determine if a given set ie a well-defined or not.


1. the set of all poor people in batangas.
2. the set of books well-liked by my classmate.
3. the set of handsome teachers in your school.
4. the set of whole numbers greater than 8 but less than 20.
5. the set of intelligent students.​

Answers

Answer:

Step-by-step explanation:

1. yes

2. No

3. No

4. Yes

5. I have no idea about this one, but I think its not a well defined set

^ for 5 its well defined. according to g00gle

-5x(x+1)
simplify the answer

Answers

Answer:

[tex]-5x^2-5x[/tex]

Step-by-step explanation:

[tex]-5x\left(x+1\right)\\\\-5x\left(x+1\right)=-5xx-5x\cdot \:1\\\\=-5xx-5x\cdot \:1\\\\=-5x^2-5x[/tex]

Answer:

-5x^2 -5x

Step-by-step explanation:

-5x(x+1)

Distribute

-5x*x  +-5x*1

-5x^2 -5x

3m-2-5n+p terms and coefficients

Answers

Answer: Answers are in the steps.

Step-by-step explanation:

The coefficients are 3, -5, and 1  

The terms are, 3m, -2,-5n and p

Rewrite as a simplified fraction.
3.2 = ?
(Repeating)

Answers

Answer:

Step-by-step explanation:

29/9 or 3 2/9

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