t midnight, a candle was lit. At 15 minutes past midnight, the candle was 4 inches tall, and you notice that it burns at a rate of 0.75 inches per hour.
(a)Write the point–slope form of the function that gives the height of the candle, h, in inches, as a function of time, t, in minutes past midnight, as the candle burns.
(b)When is the candle 1 inch tall?

Answer:

B

Step-by-step explanation:

The line would be a horizontal line and therefore the slope is 0. If the line was going vertical, then the slope would have been undefined.

Answer:

B and E

Step-by-step explanation:

The slope has to be 1/2 because the equation in the question is equal to 1/2 so only B and E are parallel

The equations of the line parallel to -3x-6y=30 are 4y=20-2x and 5x+10y=10. The correct options are B and E.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line is y = mx + c. Given that the equations are parallel to the line -3x-6y=30.

To check the line parallel to -3x-6y=30 find the slope of each line and if the slope is equal to the given equation of the line then both the lines will be parallel to each other.

The slope of the given equation of the line:-

-3x-6y=30

y = ( -1 / 2 )x + 5

Slope = -1 / 2

Check all the equations:-

A. 2x-y=15 or y = -2x + 15

B. 4y=20-2x or y = ( -1 / 2 )x + 5

E. 5x+10y=10 or y = ( -1 /  2)x + 1

Therefore, equations 4y=20-2x and 5x+10y=10 are parallel to the line -3x-6y=30.

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Answer: x = 729

Step-by-step explanation:

729+731+733 = 2193

x+(x+2)+(x+4) = 2193

Answer:  

He sold 47 candy bars  

Step-by-step explanation:  

Add 25 and 69 (94)  

Divide by 2 and you get 47  

Mark me as brainliest if this helps!

Answer: $2c - $25 = $69

This is one pathway to prove the identity.

Part 1

[tex]\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{1}{\tan(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\cot(\theta) = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{\cos(\theta)}{\sin(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)*\sin(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)(1-\cos(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\[/tex]

Part 2

[tex]\frac{\sin^2(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)-\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-(\cos(\theta)-\cos^2(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-\cos(\theta)+\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\[/tex]

Part 3

[tex]\frac{\sin^2(\theta)+\cos^2(\theta)-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1}{\sin(\theta)} = \frac{1}{\sin(\theta)} \ \ {\checkmark}\\\\[/tex]

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.

We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity [tex]\sin^2(\theta)+\cos^2(\theta) = 1[/tex] in the second to last step. I broke the steps into three parts to hopefully make it more manageable.

The number of people employed in the service industry in New York is 3,838,420.

Percentage is a measure of frequency that is used to determine the fraction of an amount as a number out of hundred. The sign that represents percentage is %.

In order to determine the number of people employed in the service industry, multiply the percentage of the people who work in the service industry by the number of people who had jobs in 2002.

Number of people employed in the service industry = 41% x 9,362,000

0.41 x x 9,362,000 = 3,838,420

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Answer:

Here the ratio of length of the shadow to the height of the object (in this case a yardstick) is 15:36. The ratio of shadow to the height of tree will also be the same. the shadow of tree is 25 feet long. So the height of tree will be (25*36)/15, that is 60 feet.

(I really hope this helps!)

750 (0.05) = 37.5

The commision rate turns into 0.05 times the sale price.

Answer:

2/9

Step-by-step explanation:

Answer: 2/9

Step-by-step explanation:

First write as an improper fraction.

2 5/8 is equal to 21/8

Then re-write

7/12 divided by 21/8

Then multiply 7/12 by the reciprocal of 21/8 which is 8/21

The answer is 56/252

Simplify

The answer is 2/9

Answer:

x = 14

Step-by-step explanation:

Vertical angles are congruent , then

7x - 27 = 3x + 29 ( subtract 3x from both sides )

4x - 27 = 29 ( add 27 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer : The domain of a function or relation is the set of all possible independent values the relation can take. It is the collection of all possible inputs. The range of a function or relation is the set of all possible dependent values the relation can produce from the domain values.

Answer:

11v-w= -20t

Step-by-step explanation:

combine like terms

20t+11v=w

isolate variable

11v=w-20t

11v-w= -20t

Answer:

there isn't enough info

Step-by-step explanation:

..................

Answer:

(E) 3

Step-by-step explanation: solve mo dapat pano mo malaman

pero I hope I helped

Answer:

16

Step-by-step explanation:

Perimeter is the total length/ distance around the shape so 3+3=6   5+5=10   6+10=16

Answer: y=2x+7

Step-by-step explanation:

The og equation to get to the equation is y=mx+b. M=slope & B=y intercept

Lets first pick 2 points to find the slope (the formula is y2-y1/x2-x1). After using the formal, I got my slope as 2. Now I could say y=2x+b. Now to find the y intercept, the x point should be 0 because these are on going lines (you could tell by the infinite arrows) meaning there is no starting point. I got my y intercept as 7. Now, I know that y=2x+7.

Step-by-step explanation:

final position = (-56-17+29)m = -44m

44m below the sea level.

Answer:

Here is the answer 44

Step-by-step explanation:

56+17=73

73-29=44

Answer:

s 45 t 90 hope this helps and if I'm correct can I have brainliest

Answer:

8!

4 goes into 8 and 8 is a multiple of itself

The L.C.M. of 4 and 8 is 8.

why?

Let's list the first 7 multiples of 4 and 8

4: 4, 8, 12, 16, 20, 24, 28

8: 8, 16, 24, ..

So 8 is the LCM.

Hope it helps you!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer:

disagree, its easy math, 10/3 =3.3 continued

Answer:

Step-by-step explanation:

As x approaches infinity, y approaches negative infinity

As x approaches negative infinity, y approaches infinity

Answer:

25

Step-by-step explanation:

Factors of,

275 = 1, 5, 11, 25, 55, 275

350 = 1, 2, 5, 10, 7, 14, 25, 35, 50, 70, 175, 350

Highest common factor of 275 and 350 is 25.

The HCF of 275 and 350 is given by the equation A = 25

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the HCF of the two numbers be represented as A

Now , the equation will be

Let the first number be p = 275

The factors of 275 = 1 , 5 , 11 , 25 , 55 and 275

Let the second number be q = 350

The factors of 350 = 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175 and 350

So , the highest common factor of 275 and 350 is 25

Therefore , the value of A is 25

Hence , the HCF is 25

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Answer:

4 3/28

Step-by-step explanation:

Hope this helps!

Answer:

[tex]4 \frac{3}{28}[/tex]

Step-by-step explanation:

First, let's turn these mixed fractions to regular fractions to make multiplying easier:

3 2/7 = 2/7 + 21/7 = 23/7

1 1/4 = 1/4 + 4/4 = 5/4

Then multiply:

[tex]\frac{23}{7}*\frac{5}{4} = \frac{( 23 * 5 ) }{(7*4)} =\frac{115}{28}[/tex]

This fraction cannot be simplified, so let's turn it into a mixed fractions:

[tex]\frac{115}{28} =4\frac{3}{28}[/tex]

Answer:

the 20th day

Step-by-step explanation:

Day Spanish) 4,8,12,16,20

Day Math) 10,20

Answer:

Every 20 days you will have both clubs.

Step-by-step explanation:

Find least common multiple and it will be reccuring

You need to find the least common multiple of 4 and 10.

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

10, 20, 30, 40

As you can see every 20 days you will have both, 20, 40, 60, 80, 100, etc etc.

Answer:

Adam's total cost: $9.20

Cindy's total cost: $9.20

Step-by-step explanation:

Since Adam and Cyndi's total bill costs $16, evenly splitting the cost means that each of them has to pay $8, not including the tip.

To find out the dollar value of their 15% tip, multiply $8 by 0.15:

$8 × 0.15 = $1.20.

Adam and Cindy will have to pay $8 (lunch cost) + $1.20 (tip) = $9.20 separately.    

Answer:

w > 2

Steps:

w +2  > 4

w + 2 - 2 > 4 - 2

w > 2

Answer:

Base-3 mi

Height-8 mi

Step-by-step explanation:

The area of a parallelogram is base*height.

Base*height=24

Now we just need to number that multiply to get 24. Those numbers can be 3 and 8 because 3*8=24.

The dimension of the parallelogram are 1 x 24, 2 x 12, 4 x 6, 8 x 3, and 24 x 1.

The opposite sides of the parallelogram are parallel and congruent. Let H be the height and W be the width of the parallelogram.

Then the area of the parallelogram will be

Area of the parallelogram = H × W square units

The area of the parallelogram is 24 square miles.

Then the dimension of the parallelogram is given as,

Area = 24

Area = 2 x 2 x 2 x 3

Area = 1 x 24, 2 x 12, 4 x 6, 8 x 3, 24, 1

The dimension of the parallelogram are 1 x 24, 2 x 12, 4 x 6, 8 x 3, and 24 x 1.

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7:1/3=7*3=21