Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 21.5 centimeters. After 21 hours of burning, its height is 16.7 centimeters. What is the height of the candle after 15 hours?

Answers

Answer 1

Answer:

The height is 18.5cm

Step-by-step explanation:

Given

Let

[tex]y =height[/tex]

[tex]x = time[/tex]

So, we have:

[tex](x_1,y_1) = (5,21.5)[/tex]

[tex](x_2,y_2) = (21,16.7)[/tex]

Required

The height after 15 hours

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{16.7-21.5}{21-5}[/tex]

[tex]m = \frac{-4.8}{16}[/tex]

[tex]m = -0.3[/tex]

The linear equation is then calculated as:

[tex]y =m(x - x_1) + y_1[/tex]

Where

[tex]m = -0.3[/tex]

[tex](x_1,y_1) = (5,21.5)[/tex]

This gives:

[tex]y =-0.3(x - 5) + 21.5[/tex]

Open bracket

[tex]y =-0.3x + 1.5 + 21.5[/tex]

[tex]y =-0.3x + 23[/tex]

After 15 hours

[tex]x = 15[/tex]

[tex]y =-0.3*15 + 23[/tex]

[tex]y =-4.5 + 23[/tex]

[tex]y =18.5[/tex]

The height is 18.5cm


Related Questions

X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to the left of 8.52.

Answers

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

.

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

URGENT!!! I’LL GIVE BRAINLIEST ANSWER

Answers

Answer:

a

Step-by-step explanation:

Answer:

A. QRP≅UTV

Step-by-step explanation:

Q is congruent with U.

R is congruent with T.

P is congruent with V.

Let me know if that helps!

At a water park, 4 out of 20 tickets sold were child tickets. What percentage of the tickets were child tickets?

Answers

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

On a certain day, the temperature in Seattle was -5° and the temperature in Houston was 10°. How many degrees lower was the temperature in Seattle?

Answers

Answer:

15 degrees lower

Step-by-step explanation:

When you are trying to find the difference between a negative and positive number, add both numbers and you will get the difference. In this case it was 15.

Sorry, math isn't my strongest suit, but i hoped this helped!

Calculating permutations can be used in all of following except _____.

seating arrangements at a wedding
survey results
assisting computer programmers
placing items into a display

Answers

Answer:

Option C,  

Calculating permutations can be used in all of following except assisting computer programmers

Step-by-step explanation:

Permutations is basically used in cases where there is some sort of patterning involved in it.

In case of seating arrangements at a wedding, survey and placing items into a display some kind of pattern will be followed.

Hence, option C

Answer:

survey results

Step-by-step explanation:

I got it right

PLZ HELPPP

What is the radius of a cylinder that has a volume of 500 fts and that is 10 ft tall?

Answers

Answer:

4ft

Step-by-step explanation:

500=pir^2h

r^2=500/(10*pi)

r=3.989ft

The table shows the heights of students in a group
Student Height (in inches)

49

47

46

45

53
What is the mean height of the students in the group?
46 inches
48 inches
51 inches
53 inches

Answers

Answer:

The guy above me is wrong but I know the correct answer and the correct answer is 46 and you get this by adding all your numbers together then dIvide the number that you got by however many numbers you added together and that is how you get 46

PLEASE GIVE BRAINLIEST

Step-by-step explanation:

would 1, 2, 5, form a right angle​

Answers

Im assuming you mean the sides of a triangle which the answer would be no as 1+4 does not equal to 25. (A2+b2=c2) for a right triangle

In a piggy bank, the number of nickles is 8 more than half the number of quarters. The value of the coins is $21.85. Determine the number of nickels.

Answers

Answer:

The number of nickels is 47

Step-by-step explanation:

1 nickel is 5 cents while 1 quarter is 25 cents

let the number of nickels be n and the number of quarters be q

From the question;

the number of nickels n is 8 more than half the number of quarters (q/2)

n = q/2 + 8

(n-8) = q/2

q = 2(n-8) = 2n - 16 ••••(i)

let us convert $21.85 to cents

there are 100 cents in $1

Thus; $21.85 will be 21.85 * 100 = 2185 cents

1 nickel is 5 cents; so n nickels will be 5 * n = 5n cents

1 quarter is 25 cents; so q quarters will be 25 * q = 25q cents

The addition of both will give 2185 cents

Thus;

5n + 25q = 2185 ••••••(ii)

Substitute equation i into ii

5n + 25(2n-16) = 2185

5n + 50n - 400 = 2185

55n = 2185 + 400

55n = 2,585

n = 2,585/55

n = 47 nickels

17 and 18 please no links

Answers

Answer:

17) 135 degrees

Step-by-step explanation:

An octagon contains six triangle, or 1080 degrees, meaning each angle is 135 degrees.

Step-by-step explanation:

1. an octagon contain 6 triangles or 1080 degrees this means with 8 angles each angle is 135 degrees

How many meters are equal to 4,581 centimeters? Use how the placement of the decimal point changes when dividing by a power of 10 to help you.

Answers

Answer:

Step-by-step explanation:

How many meters are equal to 4,581 centimeters?

100cm = 1m

4581 cm = x

Use how the placement of the decimal point changes when dividing by a power of 10 to help you

What does A equal?

What does A equal?


Please answer both of the question!!

Answers

Answer:

5. 32,000

6. 0.006

Answer:

1=d

2=D

Step-by-step explanation:

Choose the measure that best represents the data. Explain your reasoning.

12, 15, 16, 18, 20, 90

Answers

The measure that would best represent the data set is 17. This because 17 is the mid range number making it not the smallest but not the biggest
Hope this helps!

what is the area of the figure below?
35
41
46
51

Answers

46 is the correct answer

What is the slope of the line?

Answers

I used the points -1,-3 and 3,4

The slope I got was 7/4, so that should be the answer

PLEASE HELP ME!!!!! #4,5!!!!

Answers

The answer for question 4:
a) 3(3n-1)=9n-3
b) 9n-3=96
9n=96+3
9n=99
n=11

Answer:

4a) 9n - 3

4b) n = 11

Step-by-step explanation:

3(3n - 1)

9n - 3

9n - 3 = 96

9n - 3 + 3 = 96 + 3

9n = 99

9n ÷ 9 = 99 ÷ 9

n = 11

to make a sports drink for a football team, jaylen filled 9/10 of a large cooler with water. then he filled the remaning space with 6 cups of sports drink concentrate.
How many gallons of sports drink did Jaylen make?

Answers

Hello!

Assuming that we are using U.S. terms, there are sixteen cups in a gallon.

We can assume that there are six cups per tenth of the cooler. Our first job is to multiply 6 times 10 to get the amount of cups of sports drink.

6 · 10 = 60.

Now we need to find out how many gallons of sports drinks there are. To find how many cups go into a gallon, we divided 60 by 16.

60 ÷ 16 = 3.75

So, for our final answer,

Jaylen made 3.75 gallons of sports drink. (3 [tex]\frac{3}{4}[/tex])

waffletowne

Solve the following equation using the quadratic formula.

3x^2+7x+8=6

Answers

That’s the answer

x = - 1/3, -2

How do you know if something is congruent? (scale Factors)

Answers

example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.

Answer:

Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.

Step-by-step explanation:

The length of the sides of a triangle is given. Determine
whether or not the triangle is right, acute, or obtuse.
6, 8, 10
a Right
b Acute
Obtuse

Answers

Answer:

The triangle is a right triangle

Step-by-step explanation:

For the triangle to be right, Pythagoras’ theorem must be obeyed

According to the theorem, the square of the longest side (the hypotenuse) equals the sum of the squares of the two other sides

Now, from the given side lengths, the highest value is 10;

squaring this, we have 10^2 = 100

Squaring and adding the other values, we have

6^2 + 8^2 = 36 + 64 = 100

This mean the values are equal and the Pythagoras’ theorem is obeyed

Hence, we can conclude that the triangle with the given side lengths is a right triangle

Which set of tokens represents 0?
Positive
Negative


Pls helpp!!

Answers

Answer:

C.

represent 0

hope it helps

Quickly please I can't answer it and I'm running out of time

Answers

362.8 meter^2

(rounded by the nearest tenth .79>.8)

Formula:

A=2⋅π⋅r⋅h+2⋅π⋅r^2

Equation:

2⋅ 3.14⋅ 5.3⋅ 5.6+ 2⋅ 3.14⋅ 5.3^2 =362.8 m^2

Will give brainliest to first right answer!!!!!!

Answers

Answer:

It is False

Hey bro Good Luck for exams!

Step-by-step explanation:

I think it's answer is false

Shape A,Shape B,Shape C and Shape D are nets for pyramids or prisms. Drag the name of each net to the correct container

Answers

Answer:

shape a and shape d are pyramids

b and c are prisms

us
Complete the square
to find the vertex
of this parabola.
x2-14x+4y+29=0
( , )

Answers

Answer:

y=3x+29

Step-by-step explanation:

4y=12x+29

4y/4=12x+29/4

y=3x+29

Answer:

(7,5)

Step-by-step explanation:

HELP ASAP PLEASE!!!!!! No links! Explanation please!!! Brainliest to whoever answers first!

Answers

I believe the answer would be 54. I could of course be wrong so if I am, please correct me

What is 385,734 rounded to the nearest ten thousand?

Answers

Answer:

390,000

Brainliest?

Answer:

390,000.

Step-by-step explanation:

The ten thousand number is 8, and to the right of it is 5 so anything five and over is roundable, so 8 get rounded to 9.

Can anybody help me?​

Answers

Answer:

im literally doing the same question , i hope someone helps us .  

Step-by-step explanation:

Answer:

G (0,5) i think

Step-by-step explanation:

Hailey saved up $357.45 in her Piggy Bank. She decided that she wanted to use $97.99 to buy Roller skates and $50.00 to buy the Glow In the Dark flashing wheels. How much money will Hailey have leftover?

Answers

Answer:

209.46

Step-by-step explanation:

subtract $357.45, $97.99, and $50 and

you'll get $209.46

1. On a scale drawing with a scale of 1 in to 25 feet, the height of a building is 8 inches on a
drawing. How tall is the actual building?
A. 200ft
B. 200in
C. 20ft
D. 20in

Answers

200ft, you just do 8x25

Answer:

A

Step-by-step explanation:

You multiply 8 and 25

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