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Answer:

d) The equation of the standard parabola

 x² = 6 y

Step-by-step explanation:

 The given directrix is y= -31.5

  The equation of the parabola is of the form x² =4 a y

  Given focus (0,1.5) , Here  a= 1.5

  The equation of the standard parabola

                                      x² = 4 a y

                                       x² = 4 (1.5)y

                                       x² = 6 y

Conclusion:-

The equation of the standard parabola

 x² = 6 y

The equation that represents the parabola shown on the graph is x∧2 = 6 y

A parabola is known as a plane curve that starts from a point and moves such that its distance from a fixed point is equal to its distance from a fixed line.

The graph shows a vertical parabola opened upwards with the vertex at the origin.

The equation of the parabola from the graph is;

x∧2 = 4ay

The equation of the directrix;

y = -a = -1. 5

Thus, the value of a = 1.5

Then, substitute the value of a = 1.5 in the equation deduced from the graph

x∧2 = 4 × (1.5) × y

x∧2 = 6 y

Therefore, the equation that represents the parabola shown on the graph is x∧2 = 6 y

Learn more on parabola here:

https://brainly.com/question/4061870

#SPJ2

Answer:

3014.4ft³

Step-by-step explanation:

V=Πr²h(volume of cylinder)

=(3.14)(8)²(15)

=3014.4ft³

Answer:

137

Step-by-step explanation:

The degrees of the inscribed arc of 43 is 43 * 2 = 86

Since the total degrees in a circle is 360, x is equal to

(360-86)/2 = 137

Answer:

x = 137

Step-by-step explanation:

opposite angles are supplementary when they are in a quadrilateral inscribed in a circle

43+x = 180

Subtract 43 from each side

x =180-43

x=137

Answer:

12

Step-by-step explanation:

12

Using the formula then calculator to get the ans and we must never forget to write the unit in squared form.

Answer:

P(1) = 0

Step-by-step explanation:

The  sum of 1 is impossible so that horse will never  get to move

The probability of winning is zero

Answer:

p(1) = 0

Step-by-step explanation:

The horse can't move at all (why it's a bad idea)

The probability of winning is 0

Hope this helps!

Answer:

$ 3.60 ; Type in 3.60

Step-by-step explanation:

Consider the steps below;

[tex]Total Number of Tickets - 50 Tickets,\\Possible Number of Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 50\\Money Won - 180 Dollars,\\\\Proportionality - 1 / 50 = x / 180, Where, x = " Expected Payoff "\\\\1 / 50 = x / 180,\\1 / 50 * 180 = x,\\x = 180 / 50,\\x = 3.60 Dollars,\\\\Conclusion ; x = 3.60 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 3.60

Answer:

C

Step-by-step explanation:

A line that shows all solutions

Answer:

5

Step-by-step explanation:

When you divide 25/5 the answer is 5 dollars per store

Answer:

5

Step-by-step explanation:

25 divided by 5 is 5

he spends 5 in each store

Answer:

No it's not a function. (-2, 0) and (-2, 6) don't pass the vertical line test.

Step-by-step explanation:

it is two i think. hope i could help

Answer:

C) 13

Step-by-step explanation:

f(x) = 5x -2

f(3) = 5(3) -2

f(3) = 15 - 2

f(3l) = 13

Answer:

$0.92

Step-by-step explanation:

Since only one ticket out of the 250 wins a 230 dollar prize, the expected payoff is 230/250=0.92. Hope this helps!

Answer:

A..... I guess the answer must be A

Answer:

The answer is C.

Step-by-step explanation:

Given that (5,k) lies on the line that has the equation of 2x + y = 9. So in order to find k, you have to substitute the coordinates into the equation :

[tex]2x + y = 9[/tex]

Let x = 5,

Let y = k,

[tex]2(5) + k = 9[/tex]

[tex]10 + k = 9[/tex]

[tex]k = 9 - 10[/tex]

[tex]k = - 1[/tex]

Answer:

the slopes of the adjacent line segments are equal......

Step-by-step explanation:

hope it's helpful

Answer:

conclusion

Step-by-step explanation:

We are given a single statement:

"Little sisters are annoying."

A hypothesis regarding that statement is then proposed:

You are a little sister.

The only two possible interpretations from the information given are that you either are annoying or not. Since little sisters are annoying, if you are a little sister, the only possible logical conclusion is that you are annoying.

The answer is conclusion.

It would be conclusion

“Little sisters is annoying”

Answer:

The answer is (rounded) 4.47213

Step-by-step explanation:

Have a nice day!

Answer:

The correct choice is 4.47213

Step-by-step explanation:

Answer: B = (1,-9)

Step-by-step explanation:

[tex]x_M=\frac{x_A+x_B}{2} \\\\y_M=\frac{y_A+y_B}{2} \\\\\\x_B = 2x_M-x_A=2(-1)-(-3)=1\\\\y_B = 2y_M-y_A=2(-7)-(-5)=-9\\[/tex]

Answer:

the answer is b

Step-by-step explanation:

Answer:

-1/19 = x

Step-by-step explanation:

(x - 1)/x = 20

Multiply each side by x

(x - 1)/x *x = 20*x

x-1 = 20x

Subtract x from each side

x-1-x = 20x-x

-1 = 19x

Divide each side by 19

-1/19 = x

Answer:

The smaller bag

Step-by-step explanation:

The smaller bag contains more trail mix.

This is because the quantity of trail mix in the smaller bag (6.8 ounces) is more than that in the larger bag (6.18 ounces).

This makes sense because we are not told the capacities of the bags, so, it is possible that both bags are able to contain much more than 6.8 ounces.

Answer:

[tex]\fbox{\begin{minipage}{8em}Option B: Survey\end{minipage}}[/tex]

Step-by-step explanation:

The data is collected from actual players, from real world, not simulation.

=> Option A-Simulation is incorrect.

The data is all collected subjectively from actual players, and has not been manipulated purposely, like in an experiment, yet.

=> Option C-Experiment is incorrect.

The data is collected subjectively and used directly to generate mock scores without any manipulation.

The data can be considered the results of survey.

=> Option B-Survey is correct

Hope this helps!

:)

Answer: Simulation

Step-by-step explanation:

I took the quiz

Answer:

the answer is 0.84

Step-by-step explanation:

assume the two numbers are on a number line and take the absolute value of their difference

Answer:4log5=4log5

Step-by-step explanation:

Take the log of both sides

log5^4 =log 625

By log log a^b=b loga

4log 5=log5^4

4log5 =4log 5

Expressions and equations can be written in logarithmic forms.

The logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]

The equation is given as:

[tex]5^4 = 625[/tex]

Take the logarithm of both sides of the equation

[tex]\log(5^4) = \log(625)[/tex]

Apply law of logarithm

[tex]4\log(5) = \log(625)[/tex]

Divide both sides of the equation by log(5)

[tex]4 = \frac{\log(625)}{\log(5)}[/tex]

Apply change of base law of logarithm

[tex]4 = \log_5(625)[/tex]

Rewrite the equation as follows:

[tex]\log_5(625) = 4[/tex]

Hence, the logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]

Read more about logarithms at:

https://brainly.com/question/7988782

Answer:

[tex]y = \frac{5}{2} x^{2}[/tex]

Step-by-step explanation:

When you scale a parabola vertically, you multiply the [tex]x^{2}[/tex] by what you are scaling it vertically by.

For example, say you have  [tex]y = 8x^{2}[/tex]. That means that  [tex]y = x^{2}[/tex] was scaled vertically by a factor of 8.

I hope this helps!

Answer:

Step-by-step explanation: idk ok 1-2 is idk

Answer:

(C) ¹/₂

Step-by-step explanation:

Given;

A standard number cube with the numbers 1 through 6 = 1, 2, 3, 4, 5, 6

The probability of rolling a number less than 4 = 3, 2, 1

The probability of rolling 3, P(3) = ¹/₆

The probability of rolling 2, P(2) = ¹/₆

The probability of rolling 1, P(1) = ¹/₆

Probability of rolling a number less than = P(3) or P(2) or P(1)

                                                                   = ¹/₆ + ¹/₆ + ¹/₆

                                                                   = ³/₆

                                                                   = ¹/₂

Therefore, the probability of rolling a number less than 4 is ¹/₂

Option (C) ¹/₂