1. Find the equation of a parabola with a focus of (0, -6) and directrix y = 6.

Max points

y = -x + 3

y = -(x + 12)

y = -x - 12

The kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut flusters.

Let the kilograms of peanut clusters = x

Let kilograms of chocolate creams = y = 3x

Therefore, from the information given, the equation to solve the question will be:

x + y = 48 kilograms

x + 3x = 48 kilograms

4x = 48 kilograms

x = 48 kilograms / 4

x = 12 kilograms

Therefore, the kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut clusters.

In conclusion, the correct option is 12 kilograms.

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Answer:

steps below

Step-by-step explanation:

15 tan³x=5tanx     .... (0,2π)

5tanx(3tan²x - 1) = 0

tanx = 0            x = π  (0° is excluded)

or 3tan²x - 1 = 0

(√3 tanx + 1) (√3 tanx - 1) = 0

tanx = 1 /√3      x = π/6 (30°)    or    x = 5π/6  (150°)

tanx = - 1 /√3      x = 7π/6 (210°)    or    x = 11π/6  (330°)

Answer:

[tex]2<p<6[/tex]

Step-by-step explanation:

If it is less than [tex]6[/tex], it must have [tex]p<6[/tex].

If it is greater than [tex]2[/tex], it must have [tex]2<p[/tex].

We can combine these inequalities to get [tex]\boxed{2<p<6}[/tex].

The graph is left as an exercise to the reader.

Step-by-step explanation:

1/2-5/8=6/8=3/4 or 0.75

Answer: On day 30

Step-by-step explanation:

1. skip count by both 5 and 6 and look for the first number they have in

   common  5, 10, 15, 20, 25, 30, 35, 40, 45, 50

                    6, 12,18, 24, 30, 36, 42, 48, 54, 60

            30 is the first number in common

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Answer:

  -160

Step-by-step explanation:

  -15(10 2/3) = -15(10) +(-15)(2/3) = -150 -30/3 = -150 -10 = -160

The mixed number can be written as the sum of an integer and a fraction. The multiplier then multiplies the integer and the fraction separately, and the two products are added.

Answer:

hope this helps.......

Answer:

The number is 0.06, or 6 hundredths.

Step-by-step explanation:

If we convert 2 2/5 to a decimal, we get 2.4

Then, we can convert our percentage to a decimal by moving our digits two units down, giving us .025.

Now, we can multiply 2.4 and .025, which gives us 0.06

Answer:

A

Step-by-step explanation:

Answer:

B.) Progressive

Step-by-step explanation:

Its schedule of marginal tax rates imposes a higher income tax rate on people with higher incomes, and a lower income tax rate on people with lower incomes. The percentage rate increases at intervals as taxable income increases.

Answer:

Domain = (infinity, infinity) Range = (3,0)

Step-by-step explanation:

Hard to explain without giving a 15 minute lecture lol

Answer:

x=69/7   y=-95/7

Step-by-step explanation:

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Answer:

  18.8 mi

Step-by-step explanation:

The Pythagorean theorem can be used to find the straight-line distance between the towns. The distances 8 mi and 17 mi form the legs of a right triangle, whose hypotenuse is the straight-line distance.

  d² = 8² +17² = 64 +289 = 353

  d = √353 ≈ 18.8  . . . miles

The two towns are about 18.8 miles apart.

Answer:

Not here.

Step-by-step explanation:

F. The converse of the conditional.

The converse would state the following:

"If it is January, then it is winter in the United States" (Original).

"If it is winter in the United States, then it is January" (Converse).

It is not true, as it can be December, January, or February during the winter season.

G. The inverse of the conditional.

The inverse would state the following:

"If it is January, then it is winter in the United States" (Original).

"If it is not January, then it is not winter in the United States" (Inverse).

Again, as the above states, the winter season encompasses more than just the month of January.

H. The contrapositive of the conditional.

The contrapositive would state the following:

"If it is January, then it is winter in the United States" (Original).

"If it is not January, then it is not winter in the United States" (Contrapositive).

Again, there is more than just January in the winter season.

~

Answer:

1/10

Step-by-step explanation:

The default placeholder value for tenths in math is 0.1, or 1/10. the first digit after the decimal point.

Answer:

18A324 units

Step-by-step explanation:

The volume of a sphere is given by where r is  given: The raduis of sphere =24 units  

Then the volume of the given sphere will be

Hence, the volume of given sphere

Answer:

591755.66030836 was my answer. Hope that helps.

Answer:

Let A have speed 'a.' Remember distance is rate times time, and the Pythagorean theorem. We then have (2a)^2+(2(a+5))^2=50^2. a=15, so the other rate is 20.

Step-by-step explanation:

Answer:

ANSWER IS 78

Step-by-step explanation:

THE ANSWER IS 78

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Answer:

  x = 57

Step-by-step explanation:

Where parallel lines are crossed by a transversal, all obtuse angles are congruent and supplementary to all acute angles, which are also congruent.

  x = 180 -123

  x = 57

Answer:

W = -1

Step-by-step explanation:

[tex]11 \frac{1}{3} - 8 \frac{4}{5} \\ \frac{34}{3} - \frac{44}{5} \\ \frac{38}{15} [/tex]

Answer:

-2x-0.7

Step-by-step explanation:

for me that is the best answer

Answer:

What exactly does the < stand for in your problem?

Step-by-step explanation:

What I got was

-3 x -4 = 12

so it's 12 < 2

Answer:

X>-2

Step-by-step explanation:

im not sure what you want us to do so I solved for the inequality

Answer:

Mixed number: [tex]2 \frac{1}{100}[/tex]

Improper fraction: [tex]\frac{201}{100}[/tex]

Answer:

Option 3 is the correct answer.

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.

Step-by-step explanation:

y = -4x - 19 y = 2x − 1

-4x - 19 = 2x - 1

6x = -18

x = -3

y = 2(-3) - 1 = -7