A cone with a diameter of 17 feet has a volume of 190.07 cubic feet, find the height of the cone.

Answer:

c=6.25

Step-by-step explanation:

If a line that is flat (has a slope of zero) hits only one point of the parabola, it means that point is the vertex of the parabola.

In this case your equation is ---

y= –x^2 + 5x

--- and you just need to write in vertex for the equation:

y=a(x–h)^2 + k

y= –(x–2.5)^2 + 6.25

The vertex is (h,k) or (2.5,6.25)

Since the equation is "y=", k=c

or c=6.25

Thank You.

In this question:

Doing this, we find that the value is: [tex]c = \frac{25}{4}[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

Line: y = c

Parabola: y = -x^ 2 +5x.

The intersection is at the point:

[tex]-x^2 + 5x = c[/tex]

[tex]-x^2 + 5x - c = 0[/tex]

[tex]x^2 - 5x + c = 0[/tex]

Which is a quadratic equation with [tex]a = 1, b = -5[/tex].

The line and the parabola intersect at exactly one point, which means that the quadratic equation has one solution, that is, [tex]\Delta = 0[/tex].

Since:

[tex]\Delta = b^{2} - 4ac[/tex]

It means that:

[tex]b^2 - 4ac = 0[/tex]

We use this to find the value of c.

[tex](-5)^2 - 4(1)(c) = 0[/tex]

[tex]4c = 25[/tex]

[tex]c = \frac{25}{4}[/tex]

The value is: [tex]c = \frac{25}{4}[/tex]

A similar question is found at https://brainly.com/question/15211279

Answer:

d < -60

Step-by-step explanation:

Let d represent the depth of the researchers' second dive.

Given;

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60,

Deeper depth would be represented by integers less than -60.

So, d can be represented as;

d < -60

Answer:

d < -60

Step-by-step explanation:

Let d represent the depth of the researchers' second dive.

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60,

Deeper depth would be represented by integers less than -60.

So, d can be represented as;

d < -60

Answer:

D SORRY IF WRONG

Step-by-step explanation:

Answer:

D is the correct answer

Answer:

Step-by-step explanation:

y in equation 1, since you just

-4x + y = 6

add 4x to both sides to get

y = 4x + 6

while for the rest of the variables in both equations, you need at least two steps

Thus, the answer is B

Answer:

B. The easiest to solve for is Y in the first equation.

Step-by-step explanation:

Since the y has no coefficient in both equations, we look at the steps we take to solve. Equation 2 has to make you multiply negative one by both sides to make y positive, and THEN you would have to subtract 5x from both sides. However, with the first equation, all we need to do to solve for Y is add 4x to both sides. The answer? B. The easiest to solve for is Y in the first equation.

Answer:

S = 30 mph

Step-by-step explanation:

A car’s speed before a sudden stop can be estimated by the formula :

[tex]S=\sqrt{30gk}[/tex]

Here,

S = speed of the car in mph,

g = drag factor, and

k = length of skid mark in feet

If drag factor is 1, k = 30 feet

So,

[tex]S=\sqrt{30\times 1\times 30}\\\\S=30\ mph[/tex]

Therefore, the correct option is (a) 30 mph.

Answer:

7/23

Step-by-step explanation:

Multiples of 4 are 4 and 8

4 was spun 4 times

8 was spun 3 times

total spins = 2+3+2+4+5+3+1+3=23

P( 4 or 8) = number of times spun / total

                = (4+3) / 23

                  =7/23

Answer:

y= -1 1/3

Decimal form: -1.3

Answer:

C.

Step-by-step explanation:

x= 4, y = 12

A . y = 6x

   12 = 6*4

   12 = 24 false

C. y = 3x

  12 = 3*4

  12 = 12 true

Answer:

Basketball players are normally taller so it would not be accurate

Answer: It wouldn't be valid or reliable because the basketball team is not indicitive of the entire student body.  Additionally, sampling just the basketball team is not random nor is it likely a large enough sample size (unless it is a tiny school).  

Step-by-step explanation:

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

The definition that defines a line segment is

piece of a line with two endpoints.

Line segment refer to line on a piece which comprises of two points that are extreme to each other.

Therefore, The definition that defines a line segment is piece of a line with two endpoints.

Learn more about line segment below.

https://brainly.com/question/2437195

#SPJ6

2nd Option : a piece of a line with two endpoints

A figure formed by joining two points and whose ends are extended to the infinity is called line.

A line segment is the finite length between two points, which can be measured. A line segment is a small part of a line.

A line segment is defined as a piece of a line with two endpoints.

Learn more about line segment here :

https://brainly.com/question/10496716

#SPJ2

Answer:

3.47, or B

Step-by-step explanation:

I'm weird so I did it a weird way and subtracted the total amount the book costed from the amount she has left and thats how we got how much more she needs.

8.35 - 4.88 =3.47

Answer:

[tex] \boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10} [/tex]

Given:

[tex]f(x) = x + 2 \\ \\ g(x) = 3x + 5[/tex]

To Find:

[tex] (f \times g)(x) = f(x) \times g(x)[/tex]

Step-by-step explanation:

[tex]= > f(x) \times g(x) = (x + 2)( 3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =x( 3x + 5) + 2(3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 5x + 6x + 10\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 11x + 10[/tex]

Answer:

[tex]\boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10}[/tex]

Step-by-step explanation:

Foil:

x times 2x

2 times 3x

x times 5

2 times 5

then add them all up

AB have a 90° angle with BC, so the angles ABD + CBD = 90

(7x - 9)° + 4x° = 90°

7x + 4x = 90 + 9

11x = 99

x = 99/11

x = 9

So the angles are:

7x - 9 -> 7.9 - 9 = 54°

4.9 = 36°

Answer:

m<CBD equals 54

Step-by-step explanation:

Since that is a right angle do (7x-9)+(4x)=90

=11x-9=90

=11x=99

x=9

CBD=7x-9

7(9)-9=54

Hope this helps

Answer:

B.

Step-by-step explanation:

The triangle is obtuse because there only has to be one obtuse angle for it to be obtuse.

Answer:obtuse

Step-by-step explanation: it’s 180 degrees

Answer:The answer is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The vertex of the parabola is (-1,-4)

So the axis of symetry is x=-1

Answer:

-3/4

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

    = (0-3)/(5-1)

   = -3 / 4

Answer:

Step-by-step explanation:

[tex]slope=\frac{y_{2}-y_{1}}{y_{2}-y_{1}}\\\\=\frac{0-3}{5-1}\\\\=\frac{-3}{4}[/tex]

Answer:

f(x) = 4|x|

Step-by-step explanation:

Answer:

The answer is f(x) = 2.9|x| and f(x) = 1.2|x + 8|

Answer:

A

Step-by-step explanation:

Substitute n = 10 into the explicit formula , that is

f(10) = 5 + 2(10 - 1) = 5 + (2 × 9) = 5 + 18 = 23 → A

Answer:

  5

Step-by-step explanation:

The 32 that have blue and green ribbons include the 16 that have all three, so there are only 32 -16 = 16 that have only blue and green ribbons.

The 31 that have green and white ribbons likewise include the 16 with all three, so there are only 31 -16 = 15 that have only green and white ribbons.

The 38 that have blue and white ribbons include the 16 with all three, so there are only 38 -16 = 22 that have only green and white ribbons.

__

If we add the numbers of blue, green, and white ribbons, we are counting twice the numbers that have 2 ribbons, and 3 times the numbers that have 3 ribbons. We want to count each kind of ribbon-holder only once. Hence the number of individual dogs with any number of ribbons is only ...

  62 +55 +63 -(16 +15 +22) -2(16) = 95

Of the 100 dogs, 95 have ribbons, so 5 dogs have not learned any tricks.

Answer:

D

Step-by-step explanation:

i just did it

Answer: D

Step-by-step explanation:

Answer:

3556b - 48

Step-by-step explanation:

−6(14b+10)+4(910b+3)=

-84b-60+3640b+12=

(3640-84)b+(12-60)=

3556b - 48

Answer:

see below

Step-by-step explanation:

1.

m = (y2-y1)/(x2-x1)

    = (90-80)/(0-1)

     = 10/-1

   =-10

The slope is -10 ft/s

This means the height decreases 10 ft for every second that passes

This is not proportional because it has to go through the point (0,0)

4.

m = (y2-y1)/(x2-x1)

    = (1000-0)/(3-0)

     = 1000/3

   =1000/3

The slope is $1000/3

This means the 1000 dollars is sold every 3 days

This is proportional because it goes through the point (0,0) and has a constant slope

Step-by-step explanation:

Let 'm' be slope

HAWK DIVING TOWARDS PREY:

m = (y2 - y1) / (x2 - x1)

= (90 - 80) / (0 - 1)

= 10 /- 1

= - 10

This is not proportional because it doesn't to go through the point (0, 0)

BOOK SALES:

m = (y2 - y1) / (x2 - x1)

= (1000 - 0) / (3 - 0)

= 1000/3

This is proportional because it goes through the point (0, 0)

Hope this helps!

Answer:

Positive

Step-by-step explanation:

Positive plus positive is positive. For example, 3+3. That will be 6. 3 is positive both times. And six is positive.

Answer:

22.2 pounds of water are in the baag

Step-by-step explanation:

1 * 0.74 = .74

.74 * 30 = 22.2

Anne: 7x^7 + 6x^5 – 3x^3 + 8x