A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs.

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A.
Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values.

Will mark Brainlist!!!

Answer:

congruent

Step-by-step explanation:

If two geometrical figures are congruent, then their corresponding sides are congruent.

Answer:

Step-by-step explanation:

Given system:

Solve by elimination, multiply the first equation by 5 and add up equations:

Find y:

Answer:

x = 4

y = 2

Step-by-step explanation:

Rewrite  x + y = 6  to make y the subject:  

⇒ y = 6 - x

Substitute y = 6 - x   into  6x - 5y = 14  and solve for x:

⇒ 6x - 5(6 - x) = 14

⇒ 6x - 30 + 5x = 14

⇒ 11x - 30 = 14

⇒ 11x = 44

⇒ x = 4

Substitute  x = 4  into  x + y = 6  and solve for y:

⇒ 4 + y = 6

⇒ y = 2

Answer: there is no b and c so you cant find b and c

Step-by-step explanation:

The number of years it took the amount invested to accrue to £316.53 is  23.7 years.

Compound interest is when both the money invested and the money already accrued earn interest.

Number of years =  in(fv / pv) r

FV = future value

PV = present value

r = interest rate

(IN 316.53 / 175) / 0.025 = 23.7 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217

[tex]\huge \boxed{\sf (-6,-2.5)}[/tex]

[tex]\sf Midpoint \ formula:\\\\ \displaystyle (x_m, y_m) = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \\\\\\ \frac{-11+-1}{2}, \frac{4+-9}{2}=\frac{-12}{2}, \frac{-5}{2} =-6,-2.5[/tex]

The midpoint formula can determine the midpoint of a line segment given its endpoints. The midpoint is the location midway between two endpoints, as the name may have already implied. Divide the total of the x-values by 2 and the same for y-values.

Answer:

240 cm²

Step-by-step explanation:

Split the shape into a trapezoid (top half) and a rectangle (bottom half).

Area of a rectangle = width x length

⇒ area = 6.5 x 20 = 130 cm²

[tex]\textsf{Area of a trapezoid} = \frac{1}{2}(a+b)h[/tex]

(where a and b are the lengths of the base and top, and h is the height)

⇒ [tex]\textsf{area} = \frac{1}{2}(20+20)\times5.5[/tex]

⇒ area = 110 cm²

Total area = area of rectangle + area of trapezoid

⇒ area = 130 + 110 = 240 cm²

For the given data the monthly charges for Jim’s mobile phone will be £31.31.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Monthly charge of £20,100 for free minutes then 9p per minute for 200 free texts, then 11p per text. During one month, Jim makes 140 minutes of calls and sends 261 texts.

If there are 100 free minutes then it cost 9p per minute as a result, The charge is applied for calls,

40x9=£3.60

If there are 200 free texts, then it cost  11p per text as a result, The charge is applied for text,

61x11=£6.71

The total charge for the text and call is,

£6.71+£3.60=£10.31

If the monthly charge is £20. The total charge for the month,

£20+£10.31=£31.31

Thus, for the given data the monthly charges for Jim’s mobile phone will be £31.31.

Learn more about the arithmetic operation here:

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#SPJ5

Answer:

helllo friend

Step-by-step explanation:

i dont know how to do it

Answer:

see below

Step-by-step explanation:

f(4) = -11

g(x) = 2,x = 0

Answer:

Step-by-step explanation:

Remember:

So, we do division:

6 3/4 = 6.75.

Answer :

[tex]6\frac{3}{4}[/tex]

= 6.75

Answer:

100.4 km/h (1 dp)

Step-by-step explanation:

If Archie cycled for 12 hours at an average speed of 23 km/h, then the total distance he cycled is:

convert 2 hours 45 mins to decimal:

Therefore, if Jade took 2.75 hours to travel 276 km, her average speed is:

For Archie

Now

for Jade

Avg speed:-

[tex]\\ \tt\Rrightarrow \dfrac{276}{2.75}[/tex]

[tex]\\ \tt\Rrightarrow 100.4km/h[/tex]

Answer:

Circumference: 62.83

Step-by-step explanation:

Formula:

2 • π • r

OR

2 • 3.14 • 10

Since the radius is 10, replace the r variable for 10 and complete the equation. Hopefully this helps!

Answer:

I would say it is close to 4, but not 4.

Step-by-step explanation:

So I rounded the distance between the 2 plots with a line, and I got either 3.8 or 3.1

square root of 10 = 3.1

square root of 15 = 3.8

The picture is my graph I used to base it, so I would generally consider how close it is to 4 saying C. Square root of 10.

(I only chose 3.1 because I went up on the graph 3 squares with my line. It did not quite reach. I went 1/10(0.1) of a whole up further, and it resulted in the square root of 10 choice.)

Answer:

sin●=opposite/hypotenuse

sin25=2/AB

AB=2/sin25

AB=4.73

Solution:

To factorize an expression, the minuend and the subtrahend must be divisible to a number.

In this case, 6 and 30 are divisible by 6, which is the GCF. The factorized form of the expression is:

Now, if we substitute the values into the distributive property....

Learn more about factorization: https://brainly.com/question/22097012

Answer:

 3 • (2x - 7) -  (x + 4)  = 0

then do 3.1     Pull out like factors :

  5x - 25  =   5 • (x - 5)

 5 • (x - 5)  = 0

4.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

Step-by-step explanation:

Answer:

[tex] \sf \: x = 5[/tex]

Step-by-step explanation:

Given equation,

→ 3(2x - 7) = 5 - (1 - x)

Now the value of x will be,

→ 3(2x - 7) = 5 - (1 - x)

→ 6x - 21 = 5 - 1 + x

→ 6x - x = 4 + 21

→ 5x = 25

→ x = 25/5

→ [ x = 5 ]

Hence, the value of x is 5.

Answer:

5

Step-by-step explanation:

15 has 2 factors 5 and 3

80 gets split into 16 and 5

then split into 8 and 2

then 2 and 4

then 2 and 2

the GCF therefore is 5

Answer:

3y

Step-by-step explanation:

Sqrt of 9 = ±3

-±3[tex]\sqrt{y^{2} }[/tex]

the square and sqrt cancel leaving you with -±3y

Since y < 0, the sqrt of 9 should be -3 to cancel out the - sign in front.

Hope that helps

Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.

For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that exactly 36 of them buy a product is P(X = 36), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044[/tex]

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

[tex]=5^{\frac{5}{6} }[/tex]

Step-by-step explanation:

[tex](\sqrt{5} )(\sqrt[3]{5} )=(5^{\frac{1}{2} } )(5^{\frac{1}{3} } )=5^{\frac{1}{2}+\frac{1}{3} } =5^{\frac{5}{6} }[/tex]

Hope this helps

Step-by-step explanation:

any root of a number can be written as fraction in the exponent of that number.

so, here, the square root of 5 is 5^1/2.

and the cubic root of 5 is 5^1/3.

what happens, when we multiply the same base number with exponents ?

a^n × a^m = a^(n+m)

and so we get here

5^1/2 × 5^1/3 = 5^(1/2 + 1/3)

how do we add fractions with different denominators ?

we bring them to the same denominator, usually by using the smallest (or least) common multiple of the existing denominators, which is 6 for 2 and 3.

so,

1/2 + 1/3 = 3/6 + 2/6 = 5/6

therefore, the simplified solution is

5^5/6

the first answer option is correct.

Answer:

c. $625. 91

Step-by-step explanation:

The average daily balance totals each day's balance for the billing cycle and divides by the total number of days in the billing cycle. Then, the balance is multiplied by the monthly interest rate to assess the customer's finance charge—dividing the cardholder's APR by 12 calculates the monthly interest rate.

Answer:

2x-3

Step-by-step explanation:

For this problem, we need to use the Distributive Property.

Use the Distributive Property:

[tex]-1/4(-8x+12)[/tex]

[tex]2x-3[/tex]

2x-3 is your answer.

Answer:

Jatziry, Kwa, Miguel, Gina

Step-by-step explanation:

I changed it into decimal.

0.1, 0.11, 0.125, 0.13

Answer:

I think it's B or A. Im not sure. sorry if i'm wrong.

Answer:

I don't think you are asking a math question, but in my opinion you should choose a leader that you think would be responsible in a group, then tell them what the group needs to do.

Step-by-step explanation:

Answer:

4c(4- 3g)

question 8

when factorised 16c-12cg is

4c Is common to both 16c and 12cg

so we bring out 4c

4c( 4- 3g)

question 4

from what I can see through the diagram the hypotenuse is 15 and the adjacent is 9 and we're asked to find titre

so we use the relation cos titre= adjacent/hypotenuse

cos titre= 9/15

cos titre=0.6

therefore titre is cos inverse of 0.6 which is 53.13

Answer:

x=5, y=6

Step-by-step explanation:

Double the second equation to give you:

-2x+2y=2

Now we add the 2 equations to eliminate the y:

3x-2y=3

  +

-2x+2y=2

x=5

Now we substitute this value to give us:

3(5)-2y=3

15-2y=3

-12=-2y

y=6
You can substitute both these values in equation 2 to see if it works:

-x+y=1

-(5)+6=1 ✅