A cone is 10 inches tall and has a radius of 3 inches. What is the cone's volume?
O 31.4 cubic inches
0 94.2 cubic inches
282.6 cubic inches
O 847.8 cubic inches

Answer:

Yes, they are equivalent

Step-by-step explanation:

Hello!

First, let's solve for x in each equation.

Since both values of x are the same, we can say that they are both equivalent.

Answer:

1 over 9

Step-by-step explanation:

Answer:

The correct answer is A.) 1/9

Step-by-step explanation:

Answer:

Its B.

Step-by-step explanation:

Emath.com- Parabola calculator

The answer is No because one x-value corresponds to two different

y-values.

What is the function?

Each element of X is given exactly one element of Y by a function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.

Here the given function is,

           x     y

           3     4

           4     4

           5     2

           5     5

From the table we can see that there are 2 values of x having same

y - value.

Hence, the given table does not represents a function.

To know more about function, click on the link

https://brainly.com/question/7160733

#SPJ1

Answer:

Name: FE

Length: 13

Step-by-step explanation:

The total length is 34, so you would do 34-21, which equals 13.

Answer:

1.) \(\overline{FE}\)

2.) 13

Step-by-step explanation:

For the first question you just need to see where the missing segment starts and ends. Then you could write it either way EF or FE. I prefer to keep it in order from left to right.

Now for the second question you just have to take the value of the segment that's known and subtract it from the whole segment value to find the missing segment. So in this case we would do 34 - 21 and that will give us 13, so the missing segment is 13.

Answer:

c = 9

Step-by-step explanation:

You're looking for a number so that when you use that number in place of x, you end up with 20.

f(x) = 3x - 7

f(c) = 3c - 7

20 = 3c - 7

Add 7

27 = 3c

Divide by 3

9 = c

Required polynomial in the form p(x) is: \(\[f(x)=\boxed{x^3-2x^2+4x-3+\frac{5}{x-1}}\]\)

We are given the following polynomial: \(\[f(x)=\frac{x^4-3x^3+2x^2-7x-2}{x-1}\]\)

To perform polynomial long division we divide the highest degree terms of the numerator and denominator. Then we write the quotient and remainder on top of each other and multiply the denominator of the original problem with the quotient to check if the answer is correct.

Let's start with the highest degree terms.

\(\[\begin{array}{r r c r r} &x^3 &-2x^2 &+4x &-3\\ \cline{2-5} x-1 & x^4 &-3x^3&+2x^2&-7x&-2 \\ & \underline{x^4} &-\underline{x^3} & & & \\ & & -2x^3 & +2x^2 & & \\ & & \underline{-2x^3} & +\underline{2x^2} & & \\ & & & 0x^2 & -7x & \\ & & & & -7x & +7 \\ & & & & \underline{-7x} & +\underline{7} \\ & & & & & \boxed{5} \\ \end{array}\]\)

Therefore, the required polynomial in the form p(x) is:\(\[f(x)=\boxed{x^3-2x^2+4x-3+\frac{5}{x-1}}\]\)

To know more about polynomial visit :

https://brainly.com/question/11536910

#SPJ11

The area of the triangle is 2√5 square units

The formula for finding the area of a triangle is expressed as:

A = 0.5bh

b is the base

h is the height of the triangle

Using the distance formula

b = AC = √(5-1)²+(0-2)²

base =√20
base = 2√5

For the height

h = √(1-3)²+(4-4)²

base =√2²
base = 2

Area = 0.5(2)(2√5)

Area = 2√5 square units

Hence the area of the triangle is 2√5 square units

Learn more on area of triangle here: https://brainly.com/question/23945265

Answer:

the question dear sister

Answer:

x = 10

Step-by-step explanation:

given 2 secants from an external point to the circle, then

the product of the measures of one secant's external part and the entire secant is equal to the product of the other secant's external part and that entire secant, that is

6(6 + x) = 4(4 + 20)

6(6 + x) = 4 × 24 = 96 ( divide both parts by 6 )

6 + x = 16 ( subtract 6 from both sides )

x = 10

Answer

3. 6.4 - 2.218=5.182

4. 51.04 - 23.21=27.83

5. 125.50Php - 78.25Php= 47.25Php

Answer:5.182, 27.73, and 47.25

Step-by-step explanation:

Hope this helps!:)

Answer:

I)

\(2a + 2b = -10\text{ or } 2a + 2b = 10\)

II)

\(2a - 2b = -2 \text{ or } 2a-2b= 2\)

Step-by-step explanation:

We are given that:

\(\displaytstyle a^2 + b^2 = 13 \text{ and } ab= 6\)

I)

Recall the perfect square trinomial pattern:

\(\displaystyle (a+b)^2 = a^2 + 2ab + b^2\)

Rewrite:

\(\displaystyle (a+b)^2 = (a^2 + b^2) + (2ab)\)

Substitute:

\(\displaystyle (a+b)^2 = (13) + (12)\)

Evaluate:

\(\displaystyle (a + b)^2 = 25\)

Take the square root of both sides:

\(\displaystyle a + b = \pm\sqrt{25} = \pm5\)

Hence:

\(\displaystyle 2a + 2b = \pm 10\)

Therefore:

\(\displaystyle 2a + 2b = -10 \text{ or } 2a + 2b = 10\)

II)

Likewise:

\(\displaystyle (a-b)^2 = a^2 - 2ab + b^2\)

Substitute:

\(\displaystyle (a-b)^2 = (13) -(12)\)

Solve:

\(\displaystyle \begin{aligned} (a-b)^2 &= 1 \\ a-b &= \pm \sqrt{1} \\ a-b &= \pm 1\\ 2a - 2b &= \pm 2\end{aligned}\)

In conclusion:

\(2a - 2b = -2 \text{ or } 2a-2b= 2\)

Answer:

Shorter leg of triangle: 4cm

Step-by-step explanation:

So, we are told   is the longer leg, let's say this is a. \(4\sqrt{15} = \sqrt{240}\), the Pythagorean theorem is \(a^2+b^2=c^2\) , we'll say b = shortest leg, which is what we're solving for.

Since the hypotenuse (c), is 4 times b I changed it to 4b in my equation. \(\sqrt{240} + b =4b\), square this to get \(240 + b^2 = 16b^2\), -b^2 on both sides, \(240 = 15b^2\)  then divide by 15. \(16=b^2\) , use square root and you get 4 = b. To find hypotenuse, which isn't needed for your answer multiply by 4.

Hypotenuse: 16 cm

Shorter leg: 4 cm

Answer:

0.43 meters per second

Step-by-step explanation:

12/28

Step-by-step explanation:

6 notebooks = $d

1 notebook = $?

So

1 notebook price = $d ÷ 6

Answer:

Step-by-step explanation:

n represents the number of notebooks

d represents the cost of a notebook

n = d            one notebook = d dollars

9n = 9d        multiply both sides by 9

At the  end of chapter two Old Major dies and so the leadership of the animals at Animal Farm is changed .

Old Major was the boar who enrage the animals for revolution and made them dream of a world free of humans as he considered humans as their biggest enemy.

Later after his death , the pigs took the leadership in their hands . Napoleon and Snowbell were two pigs who leaded the meetings whereas Squealer was the spokesperson. The pigs were considered now as superior as they were the brain of the farm. Whenever anyone opposed them the pigs scared them off by saying if you won't do as we say Jones will come back.

To learn more about Animal Farm

brainly.com/question/29637045

#SPJ4

There were 5.15 cups of flour before Miranda made biscuits. If A bag contains x cups of flour Miranda used 3.25 cups of flour to make biscuits the bag now contains 1.90 cups of flour.

Combining things and counting them as one big group is done through addition. In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation. The combination of at least two numbers constitutes basic addition. Once a student has mastered counting, they can begin to study basic addition. By locating the addend at the top of the chart and tracing down to the row of the second addend, they can utilize an addition chart as a learning tool.

Given

A bag contains x cup of flour Miranda used 3.25 cups of flour to make biscuits the bag now contains 1.90 cups of flour,

Flour before Miranda made biscuits,

Adding,

3.25 + 1.90

5.15

There were 5.15 cups of flour before Miranda made biscuits.

To learn more about the addition, visit:

https://brainly.com/question/8265353

#SPJ1

The complete question is:

"A bag contained x cups of flour. Miranda used 3.25 cups of flour to make biscuits. The bag now contains 1.90 cups of flour. How much flour was in the bag before Miranda made biscuits?

A) 1.711 cups

B) 1.35 cups

C) 5.15 cups

D) 6.175 cups"

The statement (b) the sum is a binomial with a degree of 3 is correct.

Expressions are defined as the combination of constants and variables with mathematical operators.

We have expressions:

6s²t – 2st²

4s²t – 3st²

Adding the above two expressions, we get;

= (6s²t – 2st²) + (4s²t – 3st²)

Combining like terms:

= 10s²t - 5st²

The above expression has degree 3(2+1)

Thus, statement (b) the sum is a binomial with a degree of 3 is correct.

Complete question:

What is true about the sum of the two polynomials?

6s2t – 2st2

4s2t – 3st2

a.) The sum is a binomial with a degree of 2.

b.) The sum is a binomial with a degree of 3.

c.) The sum is a trinomial with a degree of 2.

d.) The sum is a trinomial with a degree of 3.

To learn more about the expression visit:

brainly.com/question/14083225

#SPJ4

To evaluate the integral ∫(2x^2 - 13x + 19)/(x - 2) dx over the interval [10, 3], we can use the method of partial fractions to simplify the integrand.

The integrand can be decomposed into partial fractions as follows:

(2x^2 - 13x + 19)/(x - 2) = A + B/(x - 2)

To find the values of A and B, we can multiply both sides of the equation by (x - 2) and equate the coefficients of like terms. Once we have determined A and B, we can rewrite the integral as:

∫(A + B/(x - 2)) dx

Integrating each term separately, we get:

∫A dx + ∫B/(x - 2) dx

The antiderivative of A with respect to x is simply Ax, and the antiderivative of B/(x - 2) can be found by using the natural logarithm function. After integrating each term, we substitute the limits of integration and compute the difference to obtain the final answer.

Learn more about integration here: brainly.com/question/4615818
#SPJ11

According to given information, the ratio of white keys to black keys is 5:2.

In mathematics, a ratio is a comparison of two quantities or values. It expresses how many times one quantity is contained in another. Ratios can be written in the form of a fraction, using a colon, or using the word "to".

The ratio of black keys to white keys is 6:15. To find the ratio of white keys to black keys, we can write the same ratio in terms of white keys first, then simplify it.

The ratio of white keys to black keys can be found by inverting the ratio of black keys to white keys, which gives:

15:6

We can simplify this ratio by dividing both the numerator and denominator by the greatest common factor, which is 3. Dividing by 3 gives:

5:2

Therefore, the ratio of white keys to black keys is 5:2.

To know more about ratio visit:

https://brainly.com/question/12024093

#SPJ1

Answer:

The value of 12^2 would be=144

Explanation:

According to the given data we have the following expression:

To calculate 12^2 we would have to make the following calculation:

12^2=12*12

Hence, if 12*12=144,

Therefore, the value of 12^2 would be=144

Answer:

5

Step-by-step explanation:

in math we can write as this

\( \frac{4}{x + 7} = \frac{3}{x + 4} \)

4(x+4)= 3(x+7)

4x + 16 = 3x + 21

4x - 3x = 21 - 16

x = 5

Answer:

x=5

Step-by-step explanation:

You can approach this question in many different ways, but i'm gonna look at it algebraically, since it's the quickest and works pretty much all the time.

First, you want to convert the words they've given you and make it into a less confusing equation.

They told us that 4 divided by (x+7) = 3 divided by (x+4), which is the same as:

\(\frac{4}{x+7}\) = \(\frac{3}{x+4}\)

Now, we can multiply both sides by (x+7), which gives me:

4 = \(\frac{3(x+7)}{x+4}\)

Now we can multiply both sides by (x+4), to get rid of the fractions:

4(x+4) = 3(x+7)

Then expand the brackets:

4x + 16 = 3x + 21

Move the x to one side and numbers to another side:

4x - 3x = 21 - 16

x = 5

Hope that helped : )

Answer:

D

Step-by-step explanation:

Cause I know

Answer:

y axes is number of meals

x axes is number of days

Step-by-step explanation: just took the test and those were the axes names

The solution is : (a) H⋅a_x = -0.0586,(b) H×a_θ = -0.06767a_ρ,(c) The vector component of H normal to the surface ρ=1 is 0a_ρ.,(d) The scalar component of H tangential to the plane z=0 is 0.06767.

(a) To find H⋅a_x, we take the dot product of the vector field H with the unit vector a_x = a_ρ, which points in the radial direction. At the point (1, π/3, 0), the radial component H⋅a_ρ evaluates to -0.0586.

(b) To find H×a_θ, we take the cross product of the vector field H with the unit vector a_θ = a_z × a_ρ, which points in the azimuthal direction. At the given point, the cross product H×a_θ evaluates to -0.06767a_ρ, meaning it has a component in the radial direction.

(c) The vector component of H normal to the surface ρ=1 is determined by projecting the vector field H onto the unit normal vector to the surface ρ=1. Since the normal vector is a_ρ, and H⋅a_ρ = -0.0586, the vector component of H normal to the surface is 0a_ρ, which means there is no component of H pointing in or out of the surface at that point.

(d) The scalar component of H tangential to the plane z=0 is the component of the vector field H that lies in the plane z=0. Since z=0 at the given point, only the z component of H (ρ^2az) contributes to the tangential component. At the point (1, π/3, 0), the scalar component of H tangential to the plane z=0 is 0.06767. This component lies in the plane and is perpendicular to the normal vector of the plane.

Learn more about vector field click here:

brainly.com/question/24332269

#SPJ11

Answer:

1= 8

3= 12

5= 16

7= 20

9= 24

Step-by-step explanation:

1+3=4x2=8

3+3=6x2=12

5+3=8x2=16

9+3=12x2=24

ANSWER:1=8

3=12

5=16

7=20

9=24

step -by - step explanation: 1+3=4×2=8

3+3=6×2=12

5+3=8×2=16

9+3=12×2=24

Check the picture below.

\(tan(x)=\cfrac{\stackrel{opposite}{50}}{\underset{adjacent}{42}}\implies tan(x)=\cfrac{25}{21}\implies x=tan^{-1}\left( \cfrac{25}{21} \right)\implies x\approx 50^o\)

Make sure your calculator is in Degree mode.

Answer:

2 hours 30 mins

Step-by-step explanation:

We Know

Caleb and his friends went to see a movie at 7:35 p.m.

They left at 10:05

How long was the movie?

We Take

10:05 - 7:35 = 2 hours 30 mins

So, the movie is 2 hours 30 mins long.

A moderately intense, wide peak in the 3200-3400 cm⁻¹ region is indicative of the presence of hydroxyl (-OH) functional groups.

Identification of Hydroxyl Functional Groups Using Infrared Spectroscopy

One specific region of the infrared spectrum that can provide valuable information is the 3200-3400 cm⁻¹ region. If an unknown compound displays a moderately intense, wide peak in this region, it is highly likely that it contains a hydroxyl (-OH) functional group.

Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.

The presence of hydroxyl groups can be further confirmed by looking for other characteristic peaks in the IR spectrum, such as a broad peak in the 1600-1700 cm⁻¹ region for the bending vibrations of the -OH bond. Overall, infrared spectroscopy can be an effective method for identifying hydroxyl functional groups in unknown compounds.

Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.  This is because the stretching vibration of the -OH bond falls in the range of 3200-3400 cm⁻¹ and the hydroxyl group is characterized by a broad, intense peak due to the high density of vibrational modes.

Learn more about spectroscopy here :-

https://brainly.com/question/28523860

#SPJ4

Answer:

16 miles

Step-by-step explanation:

let the number of miles driven be = x

Company A = Company B

8 + 0.10x = 0.60x

8 = 0.50x

x = 16

Hi ~ just a quick note:

I just started uploading videos to yt that contains steps to solving a problem. I sometimes share an unlisted video link so you can view it.

https://youtu.be/XhqLj_YOLBM

-Chetan K