How does the volume of a cone compare to the volume of a cylinder with the same radius and height?
one-third of the volume
one-half of the volume
twice the volume
triple the volume

Answer:

c. x=6

Step-by-step explanation:

Answer:

Value of a = 7/6 and a = -1/5

Step-by-step explanation:

We need to solve the equation

30a^2 -7 = 29a

Adding -29a on both sides

30a^2-29a-7=0

Solving the quadratic equation using quadratic formula.

[tex]a=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

here a= 30, b =-29 and c=-7

Putting values, and finding the value of a

[tex]a=\frac{-(-29)\pm\sqrt{(-29)^2-4(30)(-7)}}{2(30)}\\a=\frac{29\pm\sqrt{841+840}}{60}\\a=\frac{29\pm\sqrt{1681}}{60}\\a=\frac{29\pm41}{60}\\a=\frac{29+41}{60} \,\, and \,\,a=\frac{29-41}{60}\\a=\frac{70}{60} \,\, and \,\,a=\frac{-12}{60}\\a=\frac{7}{6} \,\, and \,\,a=\frac{-1}{5}[/tex]

So, value of a = 7/6 and a = -1/5

Answer:

The probability of choosing a black card then a white card, without

replacement is 24/91

Step-by-step explanation:

* Lets explain how to solve the problem

- There is a box contain some cards

- There are 8 white cards in the box

- There are 6 black cards in the box

- Two cards are choosing from the box a black card and then a white

 card, without replacement

∵ The number of the white cards in the box is 8

∵ The number of the black cards in the box is 6

∴ The total number of the cards in the box = 8 + 6 = 14

- We will chose the first card which is a black card

- We have 6 choices from 14 choices

∵ The number of the black cards is 6

∵ The total number of the cards is 14

∴ P(black) = 6/14 = 3/7

- Now the number of the black cards is 5 and the total number of the

 cards is 13 because there is no replacement

- We will chose the second card which is a white card

- We have 8 choices from 13 choices

∵ The number of the white cards is 8

∵ The total number of the cards is 13

∴ P(white) = 8/13

- Lets find the probability of choosing a black card then a white card

∵ P(black) = 3/7 and P(white) = 8/13

∴ P(black and white) = 3/7 × 8/13 = 24/91

* The probability of choosing a black card then a white card, without

  replacement is 24/91

Answer:

yes

Step-by-step explanation:

We apply the following property:

(x^n)^m = x^(n • m)

Let m = 2

(P^1/2)^2 = P^(1/2 • 2) = P

Follow below steps;

The property of exponents that you must apply to the expression p1/2 to derive p as the result is the power law for fractional exponents. This law states that when raising a number to a fractional exponent, it is equivalent to taking its root.

Example: p1/2 is the same as taking the square root of p, resulting in p.

When dealing with fractional exponents like 1/2, remember that they represent roots, such as square roots in this case.

Answer:

sqrt(80)

sqrt(18)

sqrt(12)

Step-by-step explanation:

sqrt(196) = 14 which is rational.

7/18 is a fraction. There is nothing the matter with it. It is rational.

sqrt(80) = sqrt(16 * 5) = sqrt(4*4* 5) = 4 sqrt(5) which is irrational.

sqrt(18) = sqrt(9*2) = sqrt(3*3*2) = 3*sqrt(2) which is irrational.

sqrt(12) = 2sqrt(3) which is irrational

Rule: if there is anything left under the root sign then the starting number is irrational.

Answer:

Area of circle R = 75π un² or ≈235.5 un²

Step-by-step explanation:

The problem says that m∠TRS = 120º. The total number of degrees in a circle is 360º. 120º is a third of 360º. Therefore, we can prove that the shaded sector is a third of the circle.

The problem then says that the area of the shaded sector is 25π and we have to calculate the area of the entire circle. Since we already know that the shaded sector is a third of the circle, we can simply multiply 25π by 3 in order to calculate the area of t he entire circle.

25π × 3 = 75π.

Area of circle R = 75π un² or ≈235.5 un²

Answer: 75

Step-by-step explanation:

If the measure of TRS is 120, that is 1/3 the total of 360. Meaning the area of the shaded part is 1/3 the area of the full circle. If the area of the shaded part is 25, that means 25 is 1/3 the full area. the equation for that can be (25 = 1/3x) with x being the full area of the circle.

To solve just multiply both sides by the reciprocal of 1/3, which is 3.

25 x 3 = 75, which is your answer.

Answer:

340/3

Step-by-step explanation:

1 yard = 3 feet.

To find out how many yards 340 feet is, divide 340 by 3.

So, your answer is 340/3.

Answer:

the x value

Step-by-step explanation:

Answer:

C (2,-4)

Step-by-step explanation:

You could graph the circle and then graph the points and see...

Or you could them in and see which point makes the left hand less than 4?

So if you wanted to draw it is a circle with center (2,-3) and radius 2.

If you want to do it the other way:

Plug in time!

(2,-5)?

(2-2)^2+(-5+3)^2

0^2+(-2)^2

0+4=4 so not this one

(2,-4)?

(2-2)^2+(-4+3)^2

0+1

1<4  so this one  (you can also see this in the drawing:

Answer:The  answer is C! Hope this helps Please mark me Brainalist!

If not i totaly get it :D

Step-by-step explanation:

Answer:

Give oliviadimatteo44 Brainliest because he/she is correct

Step-by-step explanation:

checked on edge 2020-2021

Answer:

Step-by-step explanation:

you first have to find the slope by make it rise over run.

rise over run would be 6-4/-4-8. this is the slope or m in the equation y=mx+b. this means that the slope is -1/6

Answer:

x = 3/2, 9/2.

Step-by-step explanation:

Line 3:  36.

Line  6: 3/2.

Last line:  9/2, 3/2.

Answer:

Step-by-step explanation:

[tex]Domain:\\\\2g+8\neq0\ \wedge\ g^2-16\neq0\\\\g\neq-4\ \wedge\ g\neq4\\====================\\\\\dfrac{3}{2g+8}=\dfrac{g+2}{g^2-16}\qquad\text{cross multiply}\\\\3(g^2-16)=(2g+8)(g+2)\\\\\text{use the distributive property}:\ a(b+c)=ab+ac\\\text{and}\ FOIL:\ (a+b)(c+d)=ac+ad+bc+bd\\\\(3)(g^2)+(3)(-16)=(2g)(g)+(2g)(2)+(8)(g)+(8)(2)\\\\3g^2-48=2g^2+4g+8g+16\qquad\text{subtract}\ 2g^2\ \text{from both sides}\\\\g^2-48=12g+16\qquad\text{subtract}\ 12g\ \text{and}\ 16\ \text{from both sides}[/tex]

[tex]g^2-12g-64=0\\\\g^2+4g-16g-64=0\\\\g(g+4)-16(g+4)=0\\\\(g+4)(g-16)=0\iff g+4=0\ \vee\ g-16=0\\\\g+4=0\qquad\text{subtract 4 from both sides}\\g=-4\notin D\\\\g-16=0\qquad\text{add 16 to both sides}\\g=16\in D[/tex]

Answer:

e -8 =x

Step-by-step explanation:

1 = In(x + 8)

To get rid of the natural log, raise each side to the base e

e^1 = e^ (ln(x+8))

e^ln cancels

e^1 = x+8

Subtract 8 from each side

e^1 -8 = x+8-8

e -8 =x

Hello!

Answer:

[tex]\boxed{x=4, x=-7}\checkmark[/tex]

Step-by-step explanation:

First, expand.

[tex]x^2+3x-10=18[/tex]

Then, subtract by 18 both sides.

[tex]x^2+3x-10-18=18-18[/tex]

Simplify and solve.

[tex]x^2+3x-28=0[/tex]

Therefore, the solution to this equation is x=4, and x=-7.

x=4 and x=-7 is the correct answer.

Hope this helps you!

Have a nice day! :)

Thank you!

Answer:

Solution of the given equation: [tex]x=4 , -7[/tex]

Step-by-step explanation:

An equation is a mathematical statement that states that two things are equal to each other.

A linear equation in one variable is of the form [tex]ax^2+bx+c=0[/tex] where a,b,c are coefficients and x is variable .

Here. given: [tex](x-2)(x+5)=18[/tex]

Using rule (Multiplication is distributive over addition) : [tex]a(b+c)=ab+ac[/tex] ,

we can write this equation as,

[tex](x-2)(x+5) =18\\ x(x+5)-2(x+5) =18\\ x^2+5x-2x-10 =18\\ x^2+3x-10-18 =0\\ x^2+3x-28 =0\\[/tex]

On comparing this equation with [tex]x^2[/tex] - (sum of roots)[tex] x [/tex]+(product of roots) = 0, we get

sum of roots=3 (7-4)

product of roots = -28 [tex]\left ( 7\times -4 \right )[/tex]

Using this fact , we can write this equation as ,

[tex]x^2+7x-4x-28=0\\x\left ( x+7 \right )-4\left ( x+7 \right )=0\\\left ( x-4 \right )\left ( x+7 \right )=0\\\Rightarrow x=4\,,\,x=-7[/tex]

Answer:

The answer is (B)

Step-by-step explanation:

It would not be a, the maximum score is 180, so it would be less than or equal to.

It is (B), since they need to sell at least 40 bags a day, and max is 180.

Hope this helps!

Answer with explanation:

The two linear Inequality given below is:

  1.→ 4 x + 5 y < 180

  2.→x + y > 40

We have to express this inequality into a Situation.

→Representation of Option A in terms of equation

     x=Question which has 4 points

      y=Question which has 5 points

1. x +y =40

2. 4 x +5 y ≤ 180

→→→→Representation of Option B in terms of equation

x=Number of 4 pound bag

y=Number of 5 Pound bag

1. 4 x +5 y < 180

2. x +y > 40

→Representation of Option C in terms of equation

x=Number of cotton balls which are sold at $ 4

y=Number of cotton balls which are sold at $ 5

1. 4 x +5 y < 180

2. x +y > 40

3. 4 x < 180

4. 5 y <180

→Representation of Option D in terms of equation

x=Number of notebooks in a set of Notebooks which contain 4 notebook

y=Number of notebooks in a set of Notebooks which contain 5 notebook

1. 4 x +5 y < 180

2. x +y > 40

3. 4 x < 180

4. 5 y < 180

Option B ,is most Appropriate representation of the situation.

Answer:

58

Step-by-step explanation:

right triangle is usually 45°45°90°

given angles: 90°and 32°

90+32=122

then 180-122=58°

Taking the sum of the three interior angles of a triangle and the definition of a right triangle, you get that the value of the other angle is 58°.

The right triangle is a geometric figure that is considered as a polygon formed by three sides that form a right angle and two acute angles. That is, a right triangle is one that has an interior angle that is right, that is, it measures 90º.

On the other hand, the sum of the three interior angles of a triangle is equal to 180 °.  Being α, β and γ the interior angles of the triangle, then:

α + β + γ= 180°

Being a right angle, whose value is 90 °, and another angle whose value is 32 °, it is replaced:

90° + 32° + γ= 180°

and solving you get:

122° + γ=180°

γ= 180° - 122°

γ= 58°

Then, the value of the other angle is 58°.

Learn more about the sum of the three interior angles of a triangle with this example:

The sum of -2 and -18 is -20.

When you add two negative numbers together, you're essentially combining their magnitudes while keeping the negative sign. In this case, you're adding the magnitudes of 2 and 18, which equals 20, and since both numbers are negative, the sum retains the negative sign. So, -2 plus -18 equals -20.

Answer:

63v +23

Step-by-step explanation:

7(v+9)-8(5-7v)

Distribute

7v+7*9 - 8*5 -8(-7v)

7v+63 -40 +56v

Combine like terms

63v +23

Answer:

d

Step-by-step explanation:

Answer:

3/-2

Step-by-step explanation:

(3x) km/3 -2x=4 (x3) times 3 on both sides because you need to get the x by itself and your dividing so the opposite of dividing is multiplying.

9km - 2x = 12

-9               -9 subtract on both sides

-2x = 3

-2      -2 divide on both sides.

so x= 3/-2

I'm in algebra too, and i'm relearning it, so hope i have helped you in anywy and if i haven't I'm sorry.

Answer:

35 degrees

Step-by-step explanation:

This is because the angles on the same line are supplementary meaning that they add up to 180 degrees.  This means that the two angles which are not x are 180 - 90 = 90 degrees and 180 - 125 = 55 degrees.  Since the angles in a triangle are also supplementary as well, then 180 - 90 - 55 = 35 degrees.

Please mark for Brainliest!! :D Thanks!!

For any questions or more information, please comment below and I'll respond as soon as possible.

Answer:

35°

Step-by-step explanation:

Angles on a straight line add up to 180°

The angle opposite 90° will be 90° because

180° - 90° = 90°

The angle opposite 125° will be 55° because

180° - 125° = 55°

So now we know that 2 of the 3 angles sum to 145° ( 55° + 90° ), we have to work out p so

180° - ( 55° + 90° ) = 180° - 145° = 35

Answer:

y - 3 = 5(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 5 and (a, b) = (- 1, 3), hence

y - 3 = 5(x - (- 1)), that is

y - 3 = 5(x + 1) ← in point- slope form

Answer:

[tex]\large\boxed{x=2y^2}[/tex]

Step-by-step explanation:

[tex]y=2x^2\\\\\text{exchange x to y and vice versa:}\\\\x=2y^2\\\\\text{solve for y:}\\\\2y^2=x\qquad\text{divide both sides by 2}\\\\y^2=\dfrac{x}{2}\to y=\sqrt{\dfrac{x}{2}}[/tex]

Answer:

D. [tex]x=2y^2[/tex]

Step-by-step explanation:

We have been given an equation [tex]y=2x^2[/tex]. We are asked to choose the equation that could be solved to get the inverse of given equation.

We know that to find the inverse of a function, we interchange the x and y variables and then we solve for y.

Upon interchanging x and y variables in our given equation, we will get:

[tex]x=2y^2[/tex]

Therefore, the equation [tex]x=2y^2[/tex] can be simplified to find the inverse of our given equation and option D is the correct choice.

Answer:

No x-intercept.

Step-by-step explanation:

The zeroes are not real so it will not pass through the x axis.

Answer:

The correct option is A) No x-intercepts.

Step-by-step explanation:

Consider the provided information.

Nature of solution based on the value of discriminant :

If D = b² − 4ac > 0 then there exist two Real Solutions or roots.

If D = b² − 4ac = 0 then there exist one Real Solutions or roots.

If D = b² − 4ac < 0 then there exist no Real Solutions or roots

Here, we need to remember that the root of an equation and x-intercepts are the same thing.

Now consider the provided information.

The graph of an equation with a negative discriminant means:

D = b² − 4ac < 0

From the above values of discriminant we can say, there exist no Real roots or no x-intercepts.

Thus, the correct option is A) No x-intercepts.

Answer:

It's d. -4x^2 + 2x + 2.

Step-by-step explanation:

            -4x^2 + 2x + 2.

            ------------------------

6x + 3 )-24x^3 + 0x^2 + 18x + 6

            -24x^3 - 12x^2

             --------------------

                            12x^2 + 18x

                            12x^2  + 6x

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

                                           12x + 6

                                           12x + 6