What is the simplified form of the radical expression: V1000. Show all steps when factoring. Show that the sum of two irrational numbers can be rational or irrational. Provide two exampl

In the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be D. the the sum of the area of the square and the area of the circle from a cross section.

It should be noted that a volume simply means the amount of three dimensional space that's enclosed by a closed surface.

It is typically meaured on cubic units.

In this case, in the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be the the sum of the area of the square and the area of the circle from a cross section.

In conclusion, the correct option is D.

Learn more about cone on:

brainly.com/question/28184308

#SPJ1

Answer:

B. It is the ratio of the area of the circle to the area of the square from a cross section.

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

2 (x + 4) = 18

x + 4 = 9

x = 5

Answer:

x=5

Step-by-step explanation:

2(x + 4) = 18

Divide each side by 2

2/2(x + 4) = 18/2

x+4 = 9

Subtract 4 from each side

x+4-4 = 9-4

x=5

Answer:

WVAD

Step-by-step explanation:

wdvvvvavdv

The total tax that the employee is liable for paying will be $17,836 if the taxpayer declares $100,000 as income on the finished Form 1040.

An income range that is subject to a particular income tax rate is referred to as a tax bracket. A progressive tax system includes tax brackets, which indicates that when an individual's income increases, the amount of the tax rates increases gradually. Tax rates for low-income taxpayers are generally low, whereas those for high-income taxpayers are often higher.

For instance, a single filer in 2022 with $100,000 in taxable income will pay $17,836 in taxes, or an average tax rate of 18%. Your effective marginal tax rate, however, is 24%. As a result, the employee is accountable for paying a total of $17,836 in taxes.

Read more about tax bracket

brainly.com/question/29196852

#SPJ1

The complete factorization of x3-2x²+x-2 is (x+2)(x+1)(x-1)

Here is the step-by-step solution.

\(x^{3} -2x^{2} +x-2\\\\x^{2} (x-2) -1 (x-2)\\\\(x^{2} -1) (x-2)\\(x+2)(x-1)(x+1)\)

The complete factorization of the polynomial equation is

OD. (x+2)(x + 1)(x-1).

To know more about polynomial equations refer to,

https://brainly.com/question/12374547

Answer:

18

Step-by-step explanation:

The ratio of strawberry yogurt cups to all of the yogurt is 6:10.  We know that there are 30 total yogurt cups, which is the same as 3 times 10.  to find the number of strawberry cups, 6 should be multiplied by 3 as well to equal 18.  18:30 is still the same ratio as 6:10

As per the 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year is (0.1859,0.2133).

Confidence interval:

In statistics, confidence interval is an estimate of an interval in statistics that may contain a population parameter.

Given,

According to a recent pew research center report, many American adults have made money by selling something online. in a random sample of 4579 American adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met.

Here we need to construct a 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year.

As per the given question, the value of

Confidence interval = 98%

Number of samples = 4579

Reported numbers = 914

Therefore, the number of failure is calculated as,

=> 4579 - 914

=> 3665

Here the sample proportion is the number of successes divided by the sample size:

=> 941/4579

=> 0.1996

Here for confidence level 1 − α = 0.98,

We have to determine zα / 2 ​= z0.01​ using the normal probability table in the appendix, we get

zα/2 ​= 2.33

Then the margin of error is calculated as,

E = 2.33 x √[0.1996 x (1 - 0.1996)]/4579

E = 0.0137

Then the boundaries of the confidence interval are then:

p⁻ˣ = 0.1996−0.0137 = 0.1859

p⁺ˣ = 0.1996+0.0137 = 0.2133

To know more about confidence interval here.

https://brainly.com/question/24131141

#SPJ4

The better company to use would be the second company that charges a straight $7 per shirt.

How we can compare things?

A comparison seeks to determine how two or more components, persons, or things have relevant similarities, as well as how they differ and to what extent.

To determine this, we need to compare the cost per shirt between the two companies, taking into account the cost of making the printing screen and the cost per shirt.

1) For the first company, the cost per shirt is $5.50 + ($75 / number of shirts). Let's call the number of shirts "x".

2) For the second company, the cost per shirt is $7.

So to compare the cost per shirt between the two companies, we need to determine when $5.50 + ($75 / x) = $7.

Solving for x, we get x = ($75 + $7 - $5.50) / $5.50 = 12.72 shirts.

So for 12 or more shirts, the second company is cheaper. For fewer than 12 shirts, the first company is cheaper.

Since, The student council likely wants to order more than 12 shirts to make the cost of the printing screen worth it, the second company is the better choice.

Therefore, The better company to use would be the second company that charges a straight $7 per shirt.

To know more about Comparison visit,

https://brainly.com/question/1404938

#SPJ1

Answer:

D

Step-by-step explanation:

1:55 is lower that 125 minutes

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection, P = kx. The smaller the deflection at a constant load, the stiffer the spring, k.

Given that,

If spring A has a spring constant which is 8 times spring B's spring constant,

Let us assume,

A spring is cut into two parts of length La and Lb

Also given that La : Lb

La : Lb = 1 : 8

The total of spring constant is = 1 + 8 = 9

If the length of spring is L , then La

La = \(\frac{L}{9}\)

And length of B , Lb

Lb = \(\frac{8L}{9}\)

We know, for spring force , spring constant or stiffness of spring is inversely proportional to length of spring .

K ∝ 1 / L

If initial spring constant is k then,

kL= KaLa = KbLb

Then,

Ka = \(\frac{K}{\frac{1}{9} }\)

Ka = 9K

And Kb = \(\frac{K}{\frac{8}{9} }\)

Kb = \(\frac{9K}{8}\)

Hence, stiffness of A is given by, 9K

Stiffness of B is given by  \(\frac{9K}{8}\)

Therefore,

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

To learn more about Stiffer spring ratio problems visit :

brainly.com/question/14944249

#SPJ4

Answer:

To factor out the GCF from the given expression, we can use the distributive property. This property states that we can distribute a common factor to all of the terms in an expression by multiplying the common factor by each term separately. In this case, the common factor is n, so we can distribute it to each term by multiplying it by -26, 7, and 13:

(-26n * n) + (7n * n) + (13n * n)

This gives us:

-26n^2 + 7n^2 + 13n^2

We can then combine like terms by adding the coefficients of n^2:

(-26 + 7 + 13) * n^2

This gives us the final result:

-6 * n^2

Therefore, we can factor out the GCF of -6n^2 from the given expression.

Step-by-step explanation:

Answer:

8192

Step-by-step explanation:

2 ¹²= 4096

4096 x 2 = 8192

Answer:

4 walls in my room. The shape of my room is square and my ceiling in square. By looking at it and measuring it. Thats how I found my answer.

I believe this is correct if it is can you mark brainliest? Hope I helped!!!! :)

Answer:

8 walls etc....

Step-by-step explanation:

Formula for Area of circle :

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

Area of a circle = πr²

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

Find radius :

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

1661.06 = 3.14 x r²

r² = 1661.06 ÷ 3.14

r² = 529

r = √529

r = 23 unit

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

Formula for Circumference :

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

Circumference = πD

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

Find Circumference :

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

Circumference = 3.14 x (2 x 23)

Circumference = 144.44 unit

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

Answer: Circumference - 144.44 unit

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

Answer:

Step-by-step explanation:

Total outcomes:

Outcomes with same numbers on both dice:

Outcomes with different numbers on both dice:

Probability of different numbers on both dice:

Cοnsequently, a 270° center angle's sectοr has an area οf 37.7 feet².    A: 37.7 feet².

A circle is a clοsed, twο-dimensiοnal οbject that can be described as the cοllectiοn οf all pοints in a plane that are equally spaced frοm the circle's center. The diameter οf a circle is equal tο the distance traveling thrοugh its center, while the radius is the distance frοm the center tο any lοcatiοn οn the circle. A circle's area is the rοοm it enclοses, while its circumference is the distance it spans.

given

We must apply the fοllοwing algοrithm tο determine the sectοr's area:

Sectοr area is equal tο (angle at center/360°) * radius * 2

Radius is 4 feet, and the center angle is 270 degrees. By replacing these numbers, we οbtain:

Sectοr area equals (270/360) * * 42.

Sectοr area equals (0.75) * 3.14 * 16

Sectοr size: 37.7 square feet (rοunded tο the nearest tenth)

Cοnsequently, a 270° center angle's sectοr has an area οf 37.7 feet².    A: 37.7 feet².

To know more about circle visit:

brainly.com/question/29142813

#SPJ1

Answer:

1

Step-by-step explanation:

What is the smallest possible common factor between 2 numbers? When would that number also be the GCF? When would the lesser of 2 numbers also be the GCF of those 2 numbers?

Answer:

j

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=4x + (7/2)

when x=5

y=4(5)+ (7/2)

 =20+3.5             or         20+ (7/2)

 =23.5                 or          (40+7)/2 =47/2 =23.5

Answer:

A

Step-by-step explanation:

For a right triangle

\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)

This is the same as the other triangle because they are the same size because of congruency

Area of the rectangle

\(a^2+b^2=c^2\\\)

\(\sqrt{(10.4^2+15.3^2} =c\)

\(c= 18.5\)

18.5 x 7 = 129.5

Add them all up

129.5+79.56+79.56= 288.62

Answer:

21, 15, and/or 40

Step-by-step explanation:

Given the following question:

9, 3, and 5
Area = Length × Width

Depending on which of the three numbers is the length, and which is the width will decide the answer.

\(A=9\times3=21\)
\(A=5\times3=15\)
\(A=9\times5=40\)

So, depending on which is the length, and which is the width will give you one of the following answers.

Hope this helps.

The area of the shape will be 21, 15, and 45 square units.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called as the area of the rectangle.

Given the following question:

9, 3, and 5

Area = Length × Width

Depending on which of the three numbers is the length, and which is the width will decide the answer.

9 x 3   =  27

5  x 3  = 15

9  x  5  = 45

So, depending on which is the length, and which is the width will give you one of the following answers.

To know more about an area follow

https://brainly.com/question/25292087

#SPJ2

Answer:

a)Range= 25.9

b)Variance =49.344

c)Standard deviation=7.0245

Step-by-step explanation:

Data : 28.2 49.2 30.9 28.8 28.0 25.9 34.0 29.0 23.8 30.1

Maximum Value : 49.4

Minimum Value : 23.5  

Range= Maximum - Minimum

Range= 49.4 -23.5 = 25.9

(b)

\(Mean=\bar{x}=\frac{\sum x}{n}=\frac{309.2}{10}=30.92\\\\Variance=s^{2}=\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}=49.344\)

(c) Sample standard deviation:

\(s=\sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=7.0245\)

d)s2 using the shortcut method.

            X          \(X^2\)

          28.6 817.96

          49.4 2440.36

          30.3 918.09

          28.2 795.24

         28.9 835.21

         26.4 696.96

        33.8 1142.44

         29.9 894.01

         23.5 552.25

          30.2 912.04

Total   309.2 10004.56

\(s=\sqrt{\frac{\sum x^{2}_{i}-\frac{\left ( \sum x_{i} \right )^{2}}{n}}{n-1}}\\s=\frac{10004.56-\frac{309.2^{2}}{10}}{9}\\s=7.0245\)

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

For moresuch questions on equivalent visit:

https://brainly.com/question/2972832

#SPJ8

\( - 2 \frac{1}{2} - ( - 5 \frac{3}{4} ) = - 2 \frac{1}{2} + 5 \frac{3}{4} \)

\( = 5 \frac{3}{4} - 2 \frac{1}{2} = \frac{23}{4} - \frac{5}{2} \)

\( = \frac{23}{4} - \frac{10}{4} = \frac{23 - 10}{4} = \frac{13}{4} \)

\( = \frac{4 + 9}{4} = \frac{4}{4} + \frac{9}{4} = 1 + \frac{9}{4} = 1 \frac{9}{4} \)

Answer:

\(1 \frac{9}{4} \)

Ok done. Thank to me :>

Answer:

\(y=\frac{1}{3}x+7.6666\)

Step-by-step explanation:

First we must convert  \(3x+y=-7\) into slope-intercept form!

To do this we simply just need to subtract -3x from the 3x on the left and move it to the right side. This would result in: \(y = -3x-7\)

Now that we have our slope-intercept form for the equation remember that to find the equation that is perpendicular to the given equation, you need to use the opposite reciprocal of the slope. This would be \(\frac{1}{3}\) as that is the reciprocal and opposite of \(-\frac{3}{1}\)

Now in order to find the "b" variable of the equation that goes through the ordered pair (1, 8) we need to plug it in to the given equation!

That equation would be: \(y=\frac{1}{3}x-7\)

Given that x = 1 and y = 8 we can plug those in like so:

\(8=\frac{1}{3}(1)+b\)

(make sure to set the -7 to b as that's what we're solving for)

1 / 3 is 0.3333 (infinitely repeating)

Next we need to subtract 0.3333 from 8, which would be 7.6666 (infinitely repeating) Remember that the variable needs to be "alone"!

Now we have our "b" for the equation! Hence the equation would be:

\(y=\frac{1}{3}x+7.6666\)

(you can also use \(\frac{23}{3}\) for the b as that is the "exact form" of 1 / 3 but they both work)

Hope this helps! Feel free to ask questions!

Answer:

0

Step-by-step explanation:

when the term has a coefficient of, it does not have to be written.

x- X/1

The sum of two opposites equals o

So the solution would be o