Select the correct volume formula for a cone.

Answer:

The ball reached its maximum height of ([tex]11\ yards[/tex]) in ([tex]1\ second[/tex]).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

[tex]h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6[/tex]

Now factor out the coefficient of the quadratic term:

[tex]h(t)=-5(t^2 -2t) + 6[/tex]

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

[tex]h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6[/tex]

Now take the balancing term out of the parenthesis:

[tex]\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))[/tex]

Simplify:

[tex]h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11[/tex]

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

[tex](1, 11)[/tex]

Answer:

G(x)=2/15x-6

Step-by-step explanation:

The linear function graphed on the grid will be g(x) = (15/2) x + 45. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

From the graph, the x-intercept is - 6, and the y-intercept is 45. Then the equation is given as,

x/(-6) + y/45 = 1

- 15x + 2y = 90

y = (15/2) x + 45

g(x) = (15/2) x + 45

The linear function graphed on the grid will be g(x) = (15/2) x + 45. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

The diameter is related because it helps find the circumference.

Answer:

r = 1

Step-by-step explanation:

Find the missing x-coordinate r.

Use the point-slope formula y - k = m(x - h).  We are given the point (-7, -1) on the line and the slope of the line 1/4, and so this general formula becomes

y + 1 = (1/4)(x + 7)

Now substitute the coordinates of the other point (r, 1) to solve for r:

1 + 1 = (1/4)(r + 7)

Multiplying both sides by 4 eliminates the fractional coefficient:

8 = r + 7

It is readily apparent that r must be 1.

Check:  If r = 1, then (r, 1) becomes (1, 1).  use the point-slope formula again, this time to see if we are correctly predicting the r value 1:

y + 1 = (1/4)(x + 7)  becomes 1 + 1 = (1/4)(r + 7), or

2 = (1/4)(r + 7).  Multiplying both sides by 4, we get 8 = r + 7, and so r = 1.

Answer:

180-33 = 147

Step-by-step explanation:

Answer:

8.64x1.334x10^16

11.52576x10^16

Answer:

C) $540

Step-by-step explanation:

180 + (120 x 0.20)(15) = $540

Answer:

C. 540

Step-by-step explanation:

120 × 15

=1800

1800 × 20%

=360

360 + 180

= 540

Answer: 4

Step-by-step explanation: Length times width times height so you have to do 12 divided by 3 and you get 4

Answer:

A) 80 degrees

Step-by-step explanation:

100-20=80

Answer:

y = 2x - 6

Step-by-step explanation:

14-6/10-6 = 8/4 = 2 = slope

6 = 2(6) + b

6 = 12 + b

b = -6

Answer:

13

Step-by-step explanation:

using the Pythagorean theorem  a²+b²=c²

or the two shorter sides square added together equal the longest side squared

5²+12²

5²=25

12²=144

144+25=169

then we just have to take the square root of 169

√169=12

have a great day :D

Answer:

youbhave give me more information.

Answer:

incomplete question

please write the whole question or diagram of the question

Answer:

Yes

Step-by-step explanation:

Both equals to 1/2

That's the answer

Answer: 91

is that a x or multiply?

Answer:

43720

Step-by-step explanation:

It was right on delta math

Answer:

On the sixth day (10 - 4), the worm was 2.5mm long.

Step-by-step explanation:

Giving the following information:

Future Value= 40mm

Present Value= 2.5mm

Number of periods (n)= ?

Growth rate= 100% per day

First, we need to calculate the number of days it will take to grow from 2.5mm (PV) to 40mm (FV):

n= ln(FV/PV) / ln(1+i)  

n= ln (40 / 2.5) / ln (2)

n= 4

It will take 4 days.

On the sixth day (10 - 4), the worm was 2.5mm long.

Answer:

y = -3

Step-by-step explanation:

y=2cos(x/4)−3

range of cos α : -1 ≤ cos α ≤ 1

-2 ≤ 2cos(x/4) ≤ 2

-5 ≤ 2cos(x/4)−3 ≤ -1       (-2-3= -5 and 2-3= -1) ....Range ( 2 x Amplitude)

midline: midline of y = -1 and y = -5        y = -3

i dont see an image

Step-by-step explanation:

Answer: y = 1/3x +2

Step-by-step explanation:

The slope-intercept form of an equation looks like this:

y=mx+b

The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.

We have the two points you entered, so let's start by getting the slope. (1/3)

Now that we have the slope, we can plug it into our equation: y = 1/3x+b

To get b, our y-intercept, we just need to plug in one of the points you entered and solve. Now that we have both our m and b values, we can plug them in to get our equation: Y= 1/3x+2

Hope it helps.

Answer:

a) 3 : 14

b) 4 : 15

c) 3: 4

d) 19 : 15

e) 53 : 25

Step-by-step explanation:

a)90 sec to 7min

We convert 7 mins to seconds

1 minute = 60 seconds

7 minutes = x seconds

Cross Multiply

x = 7 × 60 seconds = 420 seconds

Hence,

Our ratio is

90 seconds : 420 seconds

Divide both sit by 30

= 3 : 14

b)48min to 3hours

We convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x minutes

Cross Multiply

x = 3 × 60 minutes = 180 minutes

Hence,

Our ratio is

48 minutes : 180 minutes

Divide both sides by 12

4 : 15

c)2.5 days to 80hours.

We are converting 2.5 days to hours

1 day = 24 hours

2.5 days = x

Cross Multiply

x = 2.5 × 24 hours = 60 hours

Hence,our ratio

60 hours : 80 hours

Divide both sides by 20

3: 4

d)3 800mm to 3m

We convert 3 m to mm

1 m = 1000 mm

3 m = x mm

Cross Multiply

x mm = 3 × 1000 mm

x mm = 3000mm

Hence, ratio is

3800 mm : 3000mm

Divide both sides by 200

19 : 15

e)5300m to 2.5km​

We convert km to m

1 km = 1000 m

2.5 km = x m

Cross Multiply

x m = 2.5 × 1000m

x = 2500m

Hence, our ratio

5300m : 2500m

Divide both sides by 100

53 : 25

Answer: 10

Step-by-step explanation:

Since the lines are parallel, the triangles are congruent. This means their side lengths are an equal ratio!

6 + 6 : 20 = 6 : ?

12:20 = 6:?

12:20 = 6:10

Answer is 10

Answer:

For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.

Step-by-step explanation:

Answer: $574

Step-by-step explanation:

First we need to calculate the price of the snowboard before the addition of the tax. This will be represented by x. Therefore,

6% of x = $32.50

0.06 × x = $32.50

0.06x = $32.50

x = $32.50 / 0.06

x = $541.67

Therefore, the total cost including the sales tax will be:

= $541.67 + $32.50

= $574.17

= $574

Answer: 21ft

Step-by-step explanation:

Answer:

the area of triangle is height ×base

6×7=42

i think this is the answer

Answer:

c

Step-by-step explanation:

I just looked up the question

Answer:

[tex]Fracton = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

See attachment

Required

The fraction of yellow

From the attached image:

[tex]Yellow = 5[/tex]

[tex]Total = 30[/tex]

So, the fraction is:

[tex]Fracton = \frac{Yellow}{Total}[/tex]

[tex]Fracton = \frac{5}{30}[/tex]

Divide by 5/5

[tex]Fracton = \frac{1}{6}[/tex]

Answer: 4/5

Step-by-step explanation:

Answer:

its 5

Step-by-step explanation:

Answer:

50.24

Step-by-step explanation: