What are the vertex, focus, and directrix of the parabola whose equation is y-5= 1/12 (x-3)^2

Answer:

option C is the answer

Step-by-step explanation:

I think it will help you

Answer:

First Find the Radius of Cake by dividing 40/2

Now Find Area of the cake of Bottom

And Then Use the Formula to calculate volume of Circle

Cross Section Area=π Square

Bole of Circle 4/3π× radius cube

Answer:

24,727.5 cm³

Step-by-step explanation:

Information to keep in mind

Formula of a cylinder

Volume (total)

Answer:

984

Step-by-step explanation:

Solve for the base: 14 x 10

Solve for the sides: 2(1/2(10 x 24))

Solve for the backside: 10 x 24

Solve for the slanted plane or front: 14 x 26

Answer:

the answer is in the picture

#a

P and B are sides of square

#b

Apply cosines

Step-by-step explanation:

Expression = 1/2x = y

Easy algebraic expression

~Done~

The equation of circle p with center at (-4, 2) and a radius of 4 units is (x + 4)² + (y - 2)² = 16

An equation is an expression that shows the relationship  between two or more numbers and variables.

The circle p has center at (-4, 2) with a radius of 4 units, hence, the equation is:

(x - (-4))² + (y - 2)² = 4²

(x + 4)² + (y - 2)² = 16

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Answer:

ben told it was 78

Step-by-step explanation:

ben said that

Step-by-step explanation:

the average is the sum of all data points divided by the number of data points (5).

2 hours 17 minutes

2 hours 48 minutes

1 hour 53 minutes

2 hours 19 minutes

1 hour 38 minutes

------------------------------

8 hours 175 minutes

175 minutes = 2 hours 55 minutes

so, we need to add this to the 8 hours and get

10 hours 55 minutes

this we need to divide by 5 for the average time

(10 hours 55 minutes) / 5 = 2 hours 11 minutes =

= 2×60 + 11 = 120 + 11 = 131 minutes.

so, their score is 131.

Answer:

8

Step-by-step explanation:

y = 4 and n = 3

5y - 4n = 5(4) - 4(3)

= 12

Answer:

−4n+5y

Step-by-step explanation:

Answer: The slope is 1/2

Step-by-step explanation:

Calculate the rise (change in y-component) divided by the run (change in x-component).

rise = 0 - (-5) = 5

run = 12 - 2 = 10

slope = 5/10 = 1/2

Answer:

[tex]\sf \left(-\dfrac{1}{2},-\dfrac{1}{8}\right)[/tex]

Equation: y = x³

Only (-0.5, -0.125) lies on the graph of the equation y = x³

Answer:

(34×(50^2))+89-(89÷89)=8,5088

Step-by-step explanation:

hope this helps if not let me know have a great day

Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%

Step-by-step explanation:

Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:

P(A)∩P(B)

thus from the example, independent events will be:

P(blue)=70%, P(green)=30%, P(blue and green)=21%

Because:

P(blue)∩P(green)=0.7×0.3=0.21=21%

The point which is not included in the solution set for the inequality of the two-variable inequality shown in the graph is (-1,3).

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

A two-variable inequality is shown in the graph. It is a parabola.  The vertex form of parabola is the equation form of quadratic equation which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

[tex]y=a(x-h)^2+k[/tex]

Here, (h, k) is the vertex point. In the graph, vertex points are (1,2). Thus, the equation become,

[tex]y=a(x-1)^2+2\\[/tex]

By the point of graph (0,3), find the value of a,

[tex]3=a(0-1)^2+2\\3=a+2\\a=3-2\\a=1[/tex]

Thus, the equation become,

[tex]y=1(x-1)^2+2\\y=x^2-2x+1+2\\y=x^2-2x+3\\[/tex]

The graph of this line is attached below. In this graph only point (-1,3), does not fall hence, does not satisfy the equation.

Thus, the point which is not included in the solution set for the inequality of the two-variable inequality shown in the graph is (-1,3).

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Answer:

Its (-1,3)

Step-by-step explanation:

if he has 6 pepperoni and he puts them on 7 pizzas

6x7=42

Answer:

Coefficient 1.2. Exponent 1.3. Variable or Base

Step-by-step explanation:

Answer:

The boat is 2000 and the bird is 750.

Step-by-step explanation:

1. 750+750=1500

1500+2000=3500

2. 2000+2000=4000

4000+750=4750

Answer:

Check the image of solution

Answer:

-1

Step-by-step explanation:

Formula to the determinant is:

[tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc[/tex]

0(0)–1(1)

0-1

-1

Answer:

-1

Step-by-step explanation:

Formula: ad-bc

0(0) - 1(1)

0-1

-1

The value of (k ○ r) (x) from the given parameters in the task content is; 5 ln(2x³ -14)

If follows from the task content that;

It therefore follows that;

(k ○ r) (x) = k(r(x)) = 5 ln (2(x³-7)).

On this note, the expression which represents (k ○ r) (x) is; 5 ln(2x³ -14).

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The length of the line segment AM, which is a part of line segment AB when it is divided into two equal parts by Midpoint M is 14 units.

For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.

Let assume "M" is the midpoint of the segment AB. The value of has to be found out. It is given that,

[tex]AM= x+7 \\MB=2x[/tex]

In this line segment AB, M is midpoint. Thus, it divide the line segment into two equal parts of AM and MB.  Thus,

[tex]x+7=2x\\2x-x=7\\x=7[/tex]

Put the value of x in AM,

[tex]AM=x+7\\AM=7+7\\AM=14\rm\; units[/tex]

Thus, the length of the line segment AM, which is a part of line segment AB when it is divided into two equal parts by Midpoint M is 14 units.

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Answer:

the answer is in the picture

Answer:

The green would take 4 and the blue would take 16 times respectivly.  I did it by finding the volumes of the cups in terms of pi, then dividing it by the volume of the sink.

Step-by-step explanation:

So the volume of the whole half sphere is 512pi.

Now we have to find the volumes of the cup.

Equation: [tex]\pi r^2h[/tex]

Blue cup:

[tex]\pi 2^2(8)\\\pi 4(8)\\\pi 32[/tex]

It would take 16 times to drain it completly.

Green cup:

[tex]\pi 4^2(8)\\\pi 16(8)\\\pi 128[/tex]

It would take 4 times to drain it completly.

The material is needed to make the tent, assuming the tent has a floor would be equal to 36/√3.

Connect three rectangles edge to edge. Now close their triangular mouths from both ends. That shape is called a triangular prism.

Let the tent width be w and the given Length is 6 feet.

[tex]tan\theta = \dfrac{opposite }{adjecent} \\\\tan60 = \dfrac{h}{w/2} \\\\\sqrt{3} = \dfrac{6}{w/2} \\\\\sqrt{3} = \dfrac{12}{w} \\\\w = \dfrac{12}{\sqrt{3} }[/tex]

[tex]sin60 = \dfrac{opposite }{hypotenuse} \\\\sin60 = \dfrac{6}{x}\\\\x = \dfrac{6}{\sqrt{3}/2 }\\\\x = \dfrac{12}{\sqrt{3} }[/tex]

The area of the front tent =

[tex]\dfrac{1}{2} \times base \times height\\\\\dfrac{1}{2} \times w\times h\\\\\\\dfrac{1}{2} \times 12/\sqrt{3} \times 6\\\\\dfrac{36}{\sqrt{3} }[/tex]

The area of the back tent is also the same.

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Answer:

$103.14

Step-by-step explanation:

The calculation of slips are amounted to a total of $103.14

Answer:

20% probability

Step-by-step explanation:

First, we need to calculate the area of all the figures inside the rectangle.

Area of triangle= 1/2 BH

So, 3x2=(6)

Area of Square= L^2

3x3=(9)

Area of rectangle= LxW

=60.

60+9+6= 75.

75 is the total area.

Now, lets find the added area of only the triangle and square.

9+6= 15

The probability will be 15/75=

Convert into percent form

= 20%

Hope this helps and please mark me brainliest :)

Answer:

20% probability

Step-by-step explanation:

20% probability

20% probability

20% probability

20% probability

Larry had 778 automobiles before he had the shipment.

Answer:

V≈307.88in³

Step-by-step explanation:

V=πr2h

3=π·72·6

3≈307.87608in³

Answer:

[tex]98\pi[/tex]

Step-by-step explanation:

The formula of the volume of a cone is given by [tex]V=\frac{\pi r^2h}{3}[/tex], which, applying the values yields [tex]V=\frac{\pi 7^26}{3} = 98\pi[/tex]

Answer:

The first one

Step-by-step explanation:

As x increases, the value of y approaches infinity. As x decreases, the value of y approaches 0.

Hope it helps