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 10 hours of burning, a candle has a height of 21 centimeters. After 28 hours of burning, its height is 19.2 centimeters. What is the height of the candle after 7 hours?

Answers

Answer 1

Answer:

The height of the candle after 7 hours is 21.3 centimeters.

Step-by-step explanation:

From the information given you can assign the following values:

x1=10; y1=21

x2=28; y2=19.2

First, you have to find the slope using the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{19.2-21}{28-10}[/tex]

m=-0.1

Then, you can find the equation using the point/slope formula:

y-y1=m(x-x1)

y-21=-0.1(x-10)

y-21=-0.1x+1

y=-0.1x+22

Finally, to find the answer you need to replace the value of x that would be 7 in y=-0.1x+22:

y=-0.1(7)+22

y=-0.7+22

y=21.3

According to this, the height of the candle after 7 hours is 21.3 centimeters.


Related Questions

x=x property of equality

Answers

Answer:

Reflexive Property

Step-by-step explanation:

For all real numbers x , x=x . A number equals itself

3 and 1 third in simplest form?

Answers

Answer:

3

Step-by-step explanation:

if you want to keep it as a fraction it is already in its simplest form but you can turn it into a whole number.

I hope this helps! :D

3 sorry if it is wrong

Salem has 150 cookies to sell. Each cookie is one of four types. . 1/6 of cookies are oatmeal raisin. . 1/4 of cookies are sugar cookie. . 5/12 of cookies are chocolate chip. The rest are double chocolate. How many of the cookies are double chocolate?

Answers

Answer: 22 double chocolate cookies

Step-by-step explanation:

25 oatmeal raisin

38 sugar cookie

65 chocolate chip

22 double chocolate

Multiple choice algebra

Answers

Answer:

WHAT?

Step-by-step explanation:

how to do this question plz ​

Answers

Answer:

112 students

Step-by-step explanation:

Please see the attached picture for full solution.

What is the simplified version of -3/5

Answers

Answer:

it is already at the most simplified it can be

Step-by-step explanation:

if you need it the decimal form is -0.6

Please I beg of you help me

Answers

Answer:

any of them work just chose somthing of one that non of the rest have

Step-by-step explanation:

may i have brainly i need it to upgrade

Answer:

y=-4x+5

as this slope is negative, however, the others are positive

Step-by-step explanation:

Identify the two consecutive integer in which each square root lies between. A. 11,12 B.12,13 C.13,14 D.14,15

Answers

Answer: C

Step-by-step explanation:

Find the measure of the interior angle.

Answers

Answer:

B = 88 degrees

C = 44 degrees

Step-by-step explanation:

Answer:

B=88

C=44

Step-by-step explanation:

lin and her brother each dreated a scale drawing of their backyard, but at different scles. lin used a scale of 1 inch to 1 foot. her brother used a scale of 1 inch to 1 yard
1. express the scales for the drawings without units

2.whose drawing is larger? how mnay times as large is it? explain or show your reasoning

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given:

Lin's drawing = 1 inch to 1 foot

Brother's drawing = 1 inch to 1 yard

1.) express the scales for the drawings without units

Convert both foot and yard to inch

1 foot = 12 inches

1 yard = 36 inches

Hence,

Lin's drawing : 1 : 12

Brother's drawing : 1 : 36

2.) whose drawing is larger? how mnay times as large is it? explain or show your reasoning

Lin's drawing is larger, this is because in Lin's drawing every 12 inch in the actual drawing represents 1 inch in the scale drawing( model)

While the brother's drawing is smaller with 36 inches in the actual drawing represented as 1 inch in the scale drawing.

(1/12) ÷ (1/36)

1/12 * 36/ 1

= 36 / 12

= 3. ; 3 times larger

whats the definition of nuts cells

Answers

Answer:

A nut is a fruit composed of an inedible hard shell and a seed, which is generally edible. In general usage and in a culinary sense, a wide variety of dried seeds are called nuts, but in a botanical context "nut" implies that the shell does not open to release the seed (indehiscent). The translation of "nut" in certain languages frequently requires paraphrases, as the word is ambiguous.

4) −4b + 3 = 35
solve equation

Answers

Answer:

-8

Step-by-step explanation:

when you substitute -8 for b it is -4(-8)+3=35

-4(-8) is 32 and 32+3=35

Boom.

also btw need help give brainliest

Answer:

-8

Explanation:

Move all terms that don't contain b to the right side and solve. Hope this helps :)

Combining like terms!!
3.) 4x + 6 = 14

Answers

Answer:

x=2

Step-by-step explanation:

4x + 6 = 14

4x = 14 - 6

4x = 8 (divide both sides by 4 to get x)

4x/4 = 8/4

x = 2

Answer:

Subtract 6 from both sides of the equation

4+6−6=14−6

Simplify

Subtract the numbers

4x+6−6=14−6

4=14−6

Subtract the numbers again

4x=14−6

4=8

Divide both sides of the equation by the same term

4=8

4    4

Cancel terms that are in both the numerator and denominator

x= 8

   4

Divide the numbers

= 2

Step-by-step explanation:

HOPE THIS HELP

Can someone please help me

Answers

Answer:

1 upon 12 i think but not sure

Find the equation of the linear function represented by the table below in slope-intercept form.
x y
1 0
2 -3
3 -6
4 -9

Answers

Answer:

The equation is y = - 3x + 3

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-interceptThe rule of the slope is  [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

→ The table has 4 point: (1, 0), (2, -3), (3, -6), (4, -9)

→ We will choose two of them to find the slope

∵ The points (1, 0) and (2, -3) lie on the line

∴ [tex]x_{1}[/tex] = 1 and [tex]x_{2}[/tex] = 2

∴ [tex]y_{1}[/tex] = 0 and [tex]y_{2}[/tex] = -3

→ Substitute these values in the rule of the slope above

∴ [tex]m=\frac{-3-0}{2-1}=\frac{-3}{1}=-3[/tex]

m = -3

→ Substitute the value of the slope in the form of the equation

∴ y = - 3x + b

→ To find b substitute x and y by the coordinates of a point on the line

∵ x = 1 and y = 0

∴ 0 = - 3(1) + b

∴ 0 = - 3 + b

→ Add 3 to both sides

∴ 0 + 3 = -3 + 3 + b

∴ 3 = b

b = 3

→ Substitute the value of b in the form of the equation above

y = -3x + 3

The equation is y = - 3x + 3

Answer:

y=-3x+1

because the slope is going up not down.

Please help I’m crying bc I can’t..

Answers

Answer:

48

Step-by-step explanation:

Step 1: Define

7x² - 3x - 6

x = 3

Step 2: Substitute and Evaluate

7(3)² - 3(3) - 6

7(9) - 9 - 6

63 - 15

48

Answer: 48

Step-by-step explanation: Plug in all x for 3

7(3)^2 Do exponent first then multiply. This equals 63

3x3 is 9

Then there is -6

63-9-6

This equals 48

what is the slope of L=70-14t

Answers

Answer:

-14

Step-by-step explanation:

What is the equation of a line through point (-4,5) that is perpendicular
to the line with equation y= -6x+4?*

Answers

Answer:

set two equation of line y=ax+b and y=cx+d

when these two lines are perpendicular to each other, then a*c=(-1)

set answer is y=ax+b

we can know that a=1/6

bring in a=1/6 and(-4,5)

5=(1/6)*(-4)+b

=>5=(-2/3)=b

=>b=5 2/3

answer is y=(1/6)x+5 2/3

What is the largest prime factor of 3328?

Answers

Answer:

13

Step-by-step explanation:

prime factorization tree

3328 = 2^(8) * 13

Solve for b.
Give an exact answer.
0.5(5 - 7b) = 8 - (4b + 6)

Answers

Answer:

b=-1

Step-by-step explanation:

Let's solve your equation step-by-step.

0.5(5−7b)=8−(4b+6)

Step 1: Simplify both sides of the equation.

0.5(5−7b)=8−(4b+6)

0.5(5−7b)=8+−1(4b+6)(Distribute the Negative Sign)

0.5(5−7b)=8+−1(4b)+(−1)(6)

0.5(5−7b)=8+−4b+−6

(0.5)(5)+(0.5)(−7b)=8+−4b+−6(Distribute)

2.5+−3.5b=8+−4b+−6

−3.5b+2.5=(−4b)+(8+−6)(Combine Like Terms)

−3.5b+2.5=−4b+2

−3.5b+2.5=−4b+2

Step 2: Add 4b to both sides.

−3.5b+2.5+4b=−4b+2+4b

0.5b+2.5=2

Step 3: Subtract 2.5 from both sides.

0.5b+2.5−2.5=2−2.5

0.5b=−0.5

Step 4: Divide both sides by 0.5.

0.5b/0.5=−0.5/0.5

b=−1

y = 6x − 11 −2x − 3y = −7 *
can sum tell me is its
a) (2,1)
b)(1,2)
c)(-2,

Answers

I think it’s a l may be wrong but that’s my opinion.

Describe the pattern in the numbers. Write the next number in the pattern. 1, 2/3, 1/3, 0

Answers

Answer:

-1/3

Step-by-step explanation:

its subtracting 1/3 every time

An investor invested a total of $14,000. She divided the money into three different accounts. At the end of the year, she had made $670 in interest. The annual yield on each of the three accounts was 4%, 5%, and 6%. If the amount of money invested in the 5% account was the same as the combined amount invested in the 4% and the 6% accounts, determine how much was invested in the account that paid 6% interest.

Answers

Answer:

$2000

Step-by-step explanation:

Given the following :

Total amount invested = 14000

Total interest earned = 670

Amount invested in 4% (0.04) account = a

Amount invested in 6% (0.06) account = b

Amount invested in 5% (0.04) account = a + b

a + b + (a + b) = 14000

2a + 2b = 14000

a + b = 7000 - - - (1)

Simple interest = principal * rate * time

(a * 0.04) + (b * 0.06) + [(a+b) * 0.05] = 670

0.04a + 0.06b + 0.05a + 0.05b = 670

0.09a + 0.11b = 670 - - - - (2)

from (1)

a = 7000 - b

0.09(7000 - b) + 0.11b = 670

630 - 0.09b + 0.11b = 670

= 630 + 0.02b = 670

0.02b = 670 - 630

0.02b = 40

b = 40/ 0.02

b = $2000

Amout invested in 6% account = $2000

PLEASE HELP!!!! Emily is covering a 12 inch by 15 inch canvas with square tiles inch long on each side. How many whole tiles can fit on the canvas?

Answers

Answer:

180 tiles

Step-by-step explanation:

Answer:

180 whole tiles

Step-by-step explanation:

this is because 12 x 15= 180. if they are 1 inch tiles then you need 12 to go one way 15 times, so it would be 180.

Use the GCF and the distributive property, first to answer correct get brainlist

Answers

Answer: your answer is D

Step-by-step explanation:

U need to find the greatest common factor first which is 18 then make sure when u distribute that it matches the original equation which is 36+60

71 ×10 ^ 3 Scientific Notation​

Answers

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 1010. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

7.1×1047.1×104

The required regular notation of 71 ×10³ Scientific Notation​ is71,000.

Given that,
Scientific notation is given of 71 ×10³ regular notation of the number is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

here,
Scientific notation = 71 ×10³
Regular notation = 71 ×10³
71 ×10³ = 71 * 10 * 10 * 10
71 ×10³ = 71000


Thus, the required regular notation of 71 ×10³ Scientific Notation​ is71,000.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

(5points) how would i find the Original and perpendicular slope?? someone please explain. i have more questions i have to answer like this and it makes me so irritated.

Answers

Answer:

The slope would be 4,-12

Step-by-step explanation:

The slope is rise/run

The sum of the measures of two complementary angles is equal to

Answers

Answer:

90

Step-by-step explanation:

Complementary angles add to 90 degrees, supplementary angles add to 180

which expression is equivalent to 9(9m+3t)

Answers

Answer:

your awnser is 81m + 27t

The solution is: 81m+27t, expression is equivalent to 9(9m+3t).

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Here, we have,

given that,

the expression is;

9(9m+3t)

we have to find the expression which expression is equivalent to 9(9m+3t)

We need to distribute the 9 to the terms inside the parentheses:

9(9m+3t)

=9(9m)+9(3t)

=81m+27t

Hence, The solution is: 81m+27t, expression is equivalent to 9(9m+3t).

To learn more on Expression click:

brainly.com/question/14083225

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please help!
S is the segment bisector of RT. Find RT.

Answers

Answer:

2

Step-by-step explanation:

algebra and bisector means its half

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