a new candle is 8 inches tall and burns at a rate of 2 inches per hour. a. Write an equation that models the height h after t hours. b. Sketch the graph of the equation.

9514 1404 393

Answer:

   B)  -3

Step-by-step explanation:

There are methods for finding only c. Cramer's rule is one of them. It involves finding two determinants and taking their ratio. Here, we choose a more ad hoc approach. It appears that the value of b can be found by combining the last two equations.

  (1/2)(2a +4b -2c) -(a -3b -c) = (1/2)(12) -(-4)

  5b = 10

  b = 2

Now, we can substitute this value into the first two equations. This gives ...

  5a +c = -8

  a - c = 2

Subtracting 5 times the second from the first gives ...

  (5a +c) -5(a -c) = (-8) -5(2)

  6c = -18 . . . . simplify

  c = -3 . . . . . . divide by 6

The value of c is -3.

Answer:

900 yards.

Step-by-step explanation:

The circumference of a circle is the length of the circle's side.

Hence, for every one rotation, the wheel rotates once, and the unicycle travels the distance of the wheel's circumference.

Therefore, for 1000 rotations, and every rotation travelling 0.9 yards, the distance traveled would be 1000 * 0.9 = 900 yards.

Hope this helped!

Answer:

987654321 divided by 12345678

Step-by-step explanation:

9514 1404 393

Answer:

  CG = 19

  FB = 14.7

Step-by-step explanation:

The circumcenter is equidistant from the triangle vertices, so GA = GB = GC.

The length of GA is given, so we have ...

  GA = 19 = CG

__

Then the Pythagorean theorem can be used to find FB.

  FB² +FG² = GB²

  FB² = GB² -FG² = 19² -12² = 217

  FB = √217 ≈ 14.7

Answer:

C) 2  1/2

Step-by-step explanation:

125 divided by 50 is 2.5 or 2 1/2.

Answer

I think it is B or C since there is an angle it can not be A

Step-by-step explanation:

I think it is B since there is 1 angle and 2 sides.

Answer:

C

Step-by-step explanation:

Lets see what we have,

So far we have a side and an angle congruent.

But wait, if two lines intersect, the angle of intersection between the two are equal meaning we have a second angle, and we know now as a result the third angle is 180 minus the two known angles

This means its a Side Angle Angle, however neither of these show this so C

Hope this helps :)

Answer:

The answer is $96

Step-by-step explanation:

I just finished this there is a graph with 8 and 3. There are 11 graph boxes in all (you add the boxes/ amount  together to get how much total they are).  8 +3=11. Then you divide 132/11=12. You are looking for clothes, so you multiple 12x8=which equals 96. So she spent $96 on clothes

The amount spent on clothes is $96.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Lexi spent $8 on new clothes for every $3 she spent on school supplies.

Lexi spent $132 on clothes and school supplies in all.

The ratio of spending is = 8/3

So, amount spend on new clothes is

= 8/11 x 132

= 8 x 12

= $96

Hence, the amount spent on clothes is $96.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ2

Answer:

The measure of ∠ZPX is 63°

Step-by-step explanation:

The given parameters are;

The incenter of the triangle = P

m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet

Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;

The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP

Therefore, ∠KXP = ∠LXP = 31°

∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°

∠KXL = 62°

Similarly;

The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK

Therefore, ∠PYJ = ∠PYK = 27°

∠KYJ = ∠PYJ  + ∠PYK = 27° + 27° = 54°

∠KYJ = 54°

In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate

∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°

∠LZJ = 64°

The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ

Therefore, ∠PZL = ∠PZJ

∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°

∠PZL = 64°/2 = 32° = ∠PZJ

In ΔZPX, we have;

∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate

∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°

∠ZPX = 63°

The measure of ∠ZPX = 63°

Answer:

739,266

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

y=4x+6 is the equation simplified and that is what the graph is showing.

Answer:

A  y-2=4(x+1)

Step-by-step explanation:

y-2=4(x+1)

Answer:

0.31x + 2.4 + 3.4p

Step-by-step explanation:

combine like terms

Answer:

the ratio is 1:50

this means that 1 meter in the drawing is equal to 50 meters in real life, but that is a complicated way of stating something simple since drawings are not generally measured in meters.

the door is 0.8 meters wide or 80 centimeters wide

in our drawing, the door should be 80 / 50 = 1.6 centimeters wide

the whole purpose of a scale is to allow us to work with smaller units, that is why we have to work with them. It is true that 0.016 meters = 1.6 centimeters, but as I said before, writing the answer in meters just complicates things and makes them harder to understand. You could also say it is 0.000016 kilometers wide and it would be right, but too confusing.

30g

your welcomeeeeeeeeeeeee

Answer:

slope= 1/4

y-intercept- (-8)

Step-by-step explanation:

i think i hope this is right !

Answer:38

Step-by-step explanation:

The diagonal of a rectangle creates the hypotenuse of a right triangle. Use the Pythagorean theorem, a2 + b2 = c2, where a = 30 ft and b = 24 ft, to calculate the length of the fence c.

a2 + b2 = c2

302 + 242 = c2

900 + 576 = c2

1476 = c2

38.42 ≈ c

The fence should be about 38 feet long. Isn't it strange to divide a garden in half diagonally with a fence? It doesn't seem to serve the purpose of keeping intruders out. It doesn't seem to serve any purpose, really.

Answer:

Probability = 1/3

Step-by-step explanation:

The drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks.

This is a total of 10 socks.

Probability of pulling a white socks = 6/10

Since it is not replaced, it means we have 5 white socks left out of a total of 9 now.

Probability of pulling out another white socks = 5/9

Thus;

The combined probability is;

6/10 × 5/9 = 30/90 = 1/3

Hellooooo!

My Answer:

The answer is letter C.

The Explanation:

The probability that the first sock is white is 6/10 and the second one is white is 5/9, so the probability of choosing a pair of white socks is 30/90 = 1/3.

Answer:

6 3/4 cups.

Step-by-step explanation:

If 2 1/4 cups serves 4, you need to serve 12 so you would multiply the amount of butter by 3 and get 6 3/4 cups of butter.

Answer:

A

Step-by-step explanation:

It isn’t because if you do the vertical line test and try to put vertical lines all throughout the graph, two dots will touch the same line.

Answer:

47

Step-by-step explanation:

You would divide 141 by 3 because there was  three sweatshirts bought, so the answer from that would be the price of one.

141/3=47

Answer:

16p+6

Step-by-step explanation:

Answer:

um i only 12 so uhh 29

Step-by-step explanation:

heh

Answer:

50×5=78

5÷3.00/83.00(ab)

Step-by-step explanation:

Answer:

Around 82-81% aren't yellow.

Step-by-step explanation:

Add together the number of marbles that aren't yellow and divide the total of NON YELLOW with the total (32) to get around 82-81%.

Answer:

If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.  

i didnt really understand the question but hope this helps

According to the information given, we have that:

For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.

[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:

Item a:

Hence, a binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.

Item b:

P(B) is P(X = 3), hence:

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

[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]

Hence, P(B) = 0.25.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Answer:

x= -1

Step-by-step explanation:

Answer: -1.5

because one of the numbers is - 10 => the other is 15/-10 = -1.5

Step-by-step explanation:

Answer: The symbol is < for both