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

I need help Fast!!!!

Answers

Answer:

option 3 i believe

Step-by-step explanation:

HELP ASAP!!! Characterize the slope of the line in the graph. A. Zero B. Undefined C. Positive D. Negative

Answers

Answer:

Undefined

Explanation:

When a line is vertical like that, the slope is undefined. If it was horizontal, then it would be zero. Positive slopes go in an upward right direction. Negative slopes go in a downward left direction.

Answer: Undefined

Step-by-step explanation:

A. Zero B. Undefined C. Positive D. Negative

Please solve and explain

Answers

Answer:

The value of x = 15

Hence,

AB = x = 15 inBC = 2x+1 = 2(15)+1 = 30+1 = 31 inAC = x-3 = 15 - 3 = 12 in

Step-by-step explanation:

We know that the perimeter of a triangle is the sum of all the sides of a triangle.

Given

Perimeter = 58 in

AB = x

BC = 2x+1

AC = x-3

so the equation becomes

Perimeter = AB + BC + AC

    58        = x + 2x+1 + x-3

     58        = 4x - 2

     4x  = 58+2

     4x = 60

     4x/4 = 60/4

      x = 15

Thus, the value of x = 15

Hence,

AB = x = 15 inBC = 2x+1 = 2(15)+1 = 30+1 = 31 inAC = x-3 = 15 - 3 = 12 in

VERIFICATION

Perimeter = AB + BC + AC

58 = 15+31+12

58 = 58

need help with algebra

Answers

I believe it’s -7 hope it helps!!

the area of the retangler piece of foil is 11 1/4 square inches its length is 4 1/2 inches what is the width of the foil?

Answers

Answer:

The width of the foil = w = 2.5 inches

Step-by-step explanation:

We know that the Area of a rectangular piece:

[tex]A=wl[/tex]

Here:

'w' is the width 'l' is the length

Given that area of the rectangular piece of foil:

Area = A = 11 1/4 square inches

               = 45/4 square inches

               = 11.25 square inches  

                                                                         

Length = l = 4 1/2 inches

                 = 9/2 inches

                 = 4.5 inches

Using the Area formula

[tex]A=wl[/tex]

[tex]w\:=\:\frac{A}{l}[/tex]

    [tex]=\frac{11.25}{4.5}[/tex]

    [tex]= 2.5[/tex] inches

Thus, the width of the foil = w = 2.5 inches

Answer:

Step-by-step explanation:

I think it would be 5

If a = –2 – 5i and b = –i, then find the value of the ab^3 in fully simplified form.

Answers

Answer:

5 + 2i

We were given the complex numbers;

a = - 2 - 5i

and

b = - i

We want to find the product;

ab^3                            ^ = Exponent

We substitute the complex numbers into the expression and simplify

( - 2 - 5i ) (i)^3                     ^ = Exponent            

This is rewritten as:

( - 2 - 5i) (i)^2     x  i                           ^ = Exponent

Note that

i^2 = - 1                                            ^ = Exponent

We substitute to obtain:

( - 2 - 5i )  x  - i                

Let us expand to get:  

- 2 x - i + 5i  x  - i

This simplifies to:

2i - 5i^2                           ^ = Exponent

This gives:

2i - 5 ( - 1 ) = 2i + 5

Hope This Helps

DOH! My Brian Hurts

The value of ab³ in simplified form is;  -250(i + 1).

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

From the given values in the question we have;

a = -2 + 2i

b = -5i

Thus

ab³ = (-2 + 2i) × (-5 i)³

=  (-2 + 2i) (-125 i³)

=  (-2 + 2i) (-125 (-i))

=  (-2 + 2i) (+125 i)

= 125 i(-2) + 125 i(2i)

= -250 i + 250 i²

= -250 i -250 or,

ab³ = -250 (i+1)

To know more about equation:

brainly.com/question/10413253

#SPJ2

Please help me soon thxs

Answers

Answer: Vertical angles

Step-by-step explanation:

Answer:

Vertical Angles

Step-by-step explanation:

Vertical angles are "any opposite pairs of angles made by intersecting lines."

Also, if 2 angles are vertical, they are also congruent.

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:

Determine the measure of the unknown angle in the triangle.

Answers

you add 78 plus 37 then subtract from 180

Answer:

65°

Step-by-step explanation:

Let the unknown angle be ∠ABC

∠ABC + 78° + 37° = 180° (angle sum property of a triangle)

∠ABC + 115° = 180°

∠ABC = 180° - 115°

∠ABC = 65°

∴the unknown angle in the triangle is 65°


Find the square root of the fraction 4/49.
A 2/7
B 7/2
C Cannot be done

Answers

Answer:

A

Step-by-step explanation:

2 times 2 = 4

7 times 7 = 49

2/7 = 4/49

Hope this helps!!!

A 30-foot electric line is suspended between the tops of two 20-foot electric poles on ground level. The lowest point of the line is 5 feet above the ground. What is the distance between the two electric poles?

Answers

Answer:

The appropriate response will be "Zero (0)". A further explanation is given below.

Step-by-step explanation:

This does not make any logical sense, it seems to be 15 feet from either the peak including its poles to something like the edge of that same wire, therefore half including its 30 would be 15 feet. This always implies that perhaps there is no space seen between points, the poles must've been interacting or overlapping.

The response is therefore "0".

See the attached photo

Answers

It is (4,0) ............………………

Answer: D

Step-by-step explanation:

X is 0 so it would be intercepting the graph at -2

helooooooooooooooooooooooooooo

Answers

Answer:

you are asking what dont understand

Step-by-step explanation:

Mark and Dennis help their grandfather make rootbeer. They need 4 pounds of sassafras to make one barrel of rootbeer, but they only have 1 pound.

How much rootbeer can they make?

Answers

Answer:

the total is your denominator and how much they have is the numerator so the answer is 1/4 or one fourth

Step-by-step explanation:

I have another question:
If triangle GFE~ to triangle ABC, Find FG.

Answers

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

You created a Gingerbread house out of the same dough. Each side of the house is a 4 x 6 rectangle. How much Gingerbread dough would you need to create the entire house including the floor? Hint: find the surface area.

Answers

Answer:144

Step-by-step explanation:

4x6x6=144

If u are at a store and the original price of a product is $28.95 and the sales tax is %6.5 what is the final price

Answers

Answer:

$30.83

Step-by-step explanation:

Before Tax Price: $28.95

Sale Tax: 6.50% or $1.88

After Tax Price: $30.83

Hope this helped :)

Answer:

$30.83

Step-by-step explanation:

Emily's car broke down the weekend before she started a new job. She borrowed $880 from her parents, at an annual interest rate of 3%, to quickly pay for the car repairs. If Emily paid her parents a total of $893.20 in six months, how much simple interest did she pay?

Answers

Answer:

$13.2

Step-by-step explanation:

Step one:

given data

principal=$880

rate= 3%

final amount = $893.2

time t= 6 months =0.5 years

Step two:

Required

Simple interest

SI=PRT/100

SI=880*3*0.5/100

SI=1320/100

SI=13.2

She paid Simple interest of $13.2

can someone please help me!!!!!! and don't steal meh points

Answers

Answer:

-6

Step-by-step explanation:

30 inches in centimetres

Answers

Answer:

76.2 cm

Step-by-step explanation:

If you convert, said inches, it wouldn't be an exact number, but it would equal 76.2.

What is the perimeter of △JKL? 6 9.5 11.5 19

Answers

For perimeter, you just need to add up all the numbers!

Answer:

the awnser is 19

Step-by-step explanation:

i got it correct on edge2020

Original Equation: -5x + 2 = 5
First Step: --5x = 3

distributive property of multiplication over addition
subtraction property of equality associative property of addition
division property of equality​

Answers

Answer:

subtraction property of equality.

Step-by-step explanation:

the change made in the equation is that you subtracted 2 on both sides, which cancels out the 2 on the left and equals the 3 on the right. hope this helps :)

From a graph, how do you identify the solution of a system of equations?

Answers

Answer: Wherever the all graphs of the equations intersect, or cross each other, that is a solution to the system of equations.

Step-by-step explanation:

Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds

Answers

Answer:

12 pounds

Step-by-step explanation:

You have to divide the mass value by 16.

Please help! NEED FAST Will give brainliest

Answers

Answer:

25+3b/4

Step-by-step explanation:

9+7 because 9 is how many miles the first guy biked in 45 minutes and the 7 is how many miles apart they were in the first place.

9+7+9+3b/4

Step-by-step explanation:

The answer is 25+3b/4

A map key shows that a map distance of 1/3 inch represents an actual
distance of 4/7 mile. Find the actual distance represented by 1 inch on the
map."

Answers

Answer: 12/7 or 1 5/7 of a mile

Step-by-step explanation: To get to 1 mile, you multiply 1/3 by 3. Then multiply 4/7 by 3. That should give you your answer. Hope this helped!

HELP ME OUT PLS!!!!!!!!

Answers

Answer:

C is better

Step-by-step explanation:

42mph is greater than 32mph

Answer:

the answer is b

Step-by-step explanation:

how many miles per gallon can the car get.

ASAP HELP FOR BRAINLIEST!!!

A basketball player's goal was to score at least 275 points in the season. So
far, he has scored 212. If there is one game left, how many points must he
score to reach his goal? Be sure to include an inequality to represent this
scenario.

Answers

Answer:

63 more points

Step-by-step explanation:

275(goal) - 212(current points) = 63(points needed)

Check your work: 212+63=275

He needs to score 63 points

Say something stupis if you want a brainlest answer.

Answers

Answer:

something stupis if you want a brainlest answer.

l o l

s t  u p i d enough for ya X D

ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha

1. Circle the largest number.
|- 45 and 6

Answers

Answer:

6 is larger unless -45 is in brackets then its bigger

Step-by-step explanation:

No negative number is bigger than positive numbers, unless it has brackets

Answer:

-45

Step-by-step explanation:

The negative is in brackets making it positive and 45 is greater than 6

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