A linear function models the height of a burning candle. Candle A comes out of the mold at 211 ​mm, and is expected to be at 187 mm after 8 hours of burning. The model for Candle B is h=210−5t​, where h is the height in millimeters and t is the time in hours. What are the initial values for each​ candle? What do the initial values for each candle tell​ you?

Answers

Answer 1

Given:

Candle A comes out of the mold at 211 ​mm, and is expected to be at 187 mm after 8 hours of burning.

The model for Candle B is

[tex]h=210-5t[/tex]

where, h is the height in millimeters and t is the time in hours.

To find:

The initial values for each​ candle and its interpretation.

Solution:

Candle A comes out of the mold at 211 ​mm, and is expected to be at 187 mm after 8 hours of burning.

So, initial value of candle A = 211 mm

The model for Candle B is

[tex]h=210-5t[/tex]

Putting t=0, we get

[tex]h=210-5(0)[/tex]

[tex]h=210-0[/tex]

[tex]h=210[/tex]

So, initial value of candle B = 210 mm

Initial values for each candle tell​ you about the height of the candles before they start burning.

Initial value of candle A is greater than B, so the height of candle A is greater than B before they start burning.

Therefore, the initial value of candle A is 211 mm and initial value of candle B is 210 mm.


Related Questions

what slope of line passess through 4,1 and -2,-4

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Answer:

A slope..... I can't do math

Step-by-step explanation:

10x^3-35x^2 please help me

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Answer:

5x^2(2x-7)

Step-by-step explanation:

Hope this helps!

How do you solve this?
Look at attached file please...I'm really confused!

Answers

Answer:

X=18, Y=6

Step by Step Explanation:

This is a little long winded.. Let's solve for Y first.

First looking at the problem, you can note a few things. First of all, there is an Isosceles triangle, and there is an equilateral triangle. Where they connect, there is a 90° angle.

Now, all equilateral triangles have the same angle measurement. 60°. Now, if you look where the right angle is, it is showing a 60° angle, a total of 90°, and an unknown area. So simply subtract. 90-60=30. Divide that by 5, and you have your answer of 6.

Now let's solve X. X is very simple. On an isosceles triangle, the two top sides are the same length. And one of the top sides is the same size as the equilateral triangle. And on equilateral triangles, all sides are the same.

So the 11 transfers over to the X side. So let's make a small equation. 11=X-7. To make it even, let's add 7 to both sides. 11+7=X+7-7. Simplify to get 18=X, which is your answer.

Answer:

X=18 y=6

Step-by-step explanation:

explain and solve

the ratio of white socks to brown socks is
PLZ HELP ASAP

Answers

Answer:

0.875 is the ratio from white to brown socks.

Hello' this is my last question can someone please help me




(please don't just put a random answer just to take my points)​

Answers

*puts a random answer just to take your points*

JK lol sorry

Answer~

If we are solving for x, then your answer would be

8x²~

x = 0.110

10x~

x = 1.140

How i did it~first x:[tex]\frac{10-\sqrt{68} }{16} = \frac{5-\sqrt{17} }{8}[/tex] =

0.110

second x:[tex]\frac{10+\sqrt{68} }{16} = \frac{5+\sqrt{17} }{8}[/tex] =

1.140

------------------------------------------------------------------------

hope I helped :P

Have a good day!!~

Find the midpoint of the line segment with the given endpoints.
(-10,-4), (6,-5)

Answers

Midpoint: ((x1+x2)/2, (y1+y2)/2)
-10+6 = -4/2 = -2
-4 - 5 = -9/2 = -4.5
Solution: (-2, -4,5)

Solve for x

(I’ve tried everything I can think of, but I still haven’t been able to solve this. Please help!)

Answers

Answer:

x = 6

∠2 = 75

Step-by-step explanation:

In the given triangle two sides are equal and so it is an isosceles triangle. So, the angles opposite to equal sides are equal

11x + 9 + 11x + 9 + 30 = 180   {Angle sum property of triangle}

      11x + 11x + 9 +9 +30 = 180

                     22x + 48   = 180

                            22x    = 180 - 48

                               22x = 132

                                   x = 132/22

                                  x = 6

∠2 = 11*6 + 9 = 66 +9 = 75

Olivia filled 4 baskets of apples. Her friend filled up one additional basket of apples. if all of the baskets sold for a total of $160, how much money did each basket of apples cost?

Answers

Answer:

$32

Step-by-step explanation:

Since the question says that all the apples were sold for a total of $160, this means that you have to add the additional basket of the friend's to Olivia's. Since Olivia has 4 baskets of apples and her friend has 1, 4+1=5. Since you're trying to find the unit price for 1 basket, you take the total of $160 and divide it by 5 to find how much each basket of apples costed. Since 160/5 is 32, $32 is your answer.

Comparing Functions


How much money will Bob in December have if his bank account growth stays at the same rate?


Month Bank-Acc

|

January | $5,000

February $6,700

March $8,400

April $10,100

May $11,800

Answers

He will have 22,900 by December.
in december Bob would have 23,700, the rate is +1,700 every month

at an amusement park, children are charged an entrance fee of $20 plus $3 per ride and adults are charged an entrance fee of $28 plus $4 per ride. Identify your variable with a 'let' statement and write expressions for both children and adults that represent the cost for each group.

Answers

Answer:

T=3r+20 for the children and T=4r+28 for the adults

Step-by-step explanation:

Let r equal the amount of rides the person took, let T equal the total cost of the trip

A telephone marketer earns a 14% commission on their sales each week. In one week, their sales amounted to $920.
1a
First, find 10% of their total sales.

Answers

Answer:

I love u plz don't report

4x - 2y = 5 and y = 3x - 1

Answers

Answer:

4x_2y=5

4x=5+2y

x=5+2y/5

now, y=3x_1

putting value of x in second question

In this way you can do

You bought a can of black beans last week that cost $1.34. This week, the store advertised a sale where 5 cans of beans cost $6.00. You bought one can of beans this week as well. Find the cost per can, and determine how much less the can of beans cost this week compared to last week.

Answers

Answer:

1. $1.2

2.  $0.14

Step-by-step explanation:

Step one:

given data

Black beans last week that cost $1.34

Step two:

This week's price

5 cans of beans cost $6.00

The cost per can is

= 6/5

=$1.2

The difference in price

=1.34-1.2

= $0.14

help please giving brailiest

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

16+8=24

Simplify (-2x - 9)(-4). 8x - 36 -8x + 36 8x+ 36 -88-36​

Answers

Answer:

8x+36

Step-by-step explanation:

distribute the -4

-2x times -4 + -9 times -4

8x+36

xoxo, your highness...

Answer:

[tex]64x^2+648x-124[/tex]

if your question is

[tex]\left(-2x-9\right)\left(-4\right)\cdot \:8x-36-8x+368x+36-88-36[/tex]

Pls help me :)?!!!!!!!

Answers

You can’t really see your questions there a glare

Does the blue on the graph represent a function ?

Answers

Answer:

Nope

Step-by-step explanation:

It doesnt. Functions look like that

yep because it doesn’t repeat x values


explanation:

Evaluate 1/2t + 3/8 when t= 1/4

Answers

Answer:

1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

1/2t + 3/8

t = 1/4

Step 2: Evaluate

Substitute:                    1/2(1/4) + 3/8Multiply:                        1/8 + 3/8Add:                              4/8Simplify:                        1/2
Half of 1/4 is 1/8
1/8 + 3/8 = 4/8 or 1/2
So the answer is 1/2
Hope I helped

The answer. X=7 Ik that

Answers

Answer:

C: 147°

Step-by-step explanation:

Based on looking, the most appropriate answer should be C, which is 147°.

the ratio of boys to girls in a class is 4 : 5 how many girls are there in a class if 12 boys are in the class

Answers

Answer:

15

Step-by-step explanation:

Hey! Pretty stranger :D

AsnwEr:

Number of girls in class = 15

GivEn:

The ratio of no. of boys to no. of girls in a class is 4:5.Number of boys in class = 12

To find:

Number of girls in class?

Solution:

☯ Let number of girls be x.

Given that,

The ratio of no. of boys to no. of girls in a class is 4:5.

Therefore,

→ 12/x = 4/5

→ x = 12 × 5/4

→ x = 60/4

→ x = 15

∴ Hence, number of girls in a class is 15.

Jake has 3 1/2 hours before bedtime. He must spend 2 hours doing homework. The rest of his time will be spent doing puzzles. It takes jake 1/2 hour to complete each puzzle. Which equation models the number of puzzles, p, jake can complete before bedtime?

Answers

3 1/2 = 1/2*p-2

Explanation: p is number of puzzles

Answer:

3 1/2 puzzles

Step-by-step explanation:

if I have a 40 in a class and get 100% on something thats 40% of my grade. whatsmy new grade PLEASE ANSWER like please please please please answer

Answers

Answer: depends on how your class is weighted, and specifically how many points the thing is, and your point score.

Step-by-step explanation:

i guess 60%? it's too vague

Hmm l can’t figure it out

find the slope of the line y=-3/8x-7/6

Answers

Answer:

The slope is -3/8

Step-by-step explanation:

Y= mx+b

m or mx is the slope while b is the y intercept

-3/8 hope it helps :)

I NEED HELP ASAP IN THE PICTURE ABOVE

Answers

Answer:

Step-by-step explanation:

Even numbers are those that can be divided by 2.

3440 and 7802

Odd numbers are the rest

4893, 1451 and 6645

Smallest to largest

1451, 3440, 4893, 6645 and 7802

Sum of even numbers

3440+7802= 11242 divided by 2(there are only 2 numbers)

11242 ÷ 2 = 5621

Write each fraction as a percent.
8/20

Answers

Answer:

40%

Step-by-step explanation:

8/20=0.4

0.4=40%


Help pls help me!!!!!

Answers

Answer:

C

Step-by-step explanation:

This is your answer because when you do the math you get c as your answer.

Hope this help:)

pls mark brainly

Answer:

The answer is C

Step-by-step explanation:

You had $72.31 at the beginning of the month but you deposited $11.27 and $14.76 so if you add all of those you get $19.84

Have a great day!

Please consider marking brainliest

^-^

What is 0.00015 in scientific notation?

Answers

Answer:

1.5 * 10^(-4) is the scientific notation.....

Please help. If this isn't done by today i'm grounded :(

A _____ magnet can be made by rubbing a permanent magnet the same way
along an item. The alignment of atoms does not last long.
permanent
temporary
atomic
polar

Answers

Answer:

B. temporary

Step-by-step explanation:

The last sentence says that the alignment of atoms does not last long.

Answer:

B. temporary

 

Step-by-step explanation:

Aubree invested $500 into a mutual fund that paid 3% interest each year compounded annually. Find the value of the mutual fund in 12 years.

Answers

Answer:

FV= $712.88

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $500

Number of periods (n)= 12 years

Interest rate (i)= 3% compounded annually

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 500*(1.03^12)

FV= $712.88

Answer:

25%

Step-by-step explanation:

Because she divided it

SOMEONE HELP ASAP PLS!!

Point K lies at (-3,4). Point K is reflected over the y-axis and then translated 7 units down to produce K'. Which rule could have been used to produce K’ from K?

Answers

the answer is B / the second option
K(x,y)>K’(-x,y-7)

Answer:

K(x,y) →K'(-x, y-7)     (B)

Step-by-step explanation:

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