if the curved surface area of a cylinder is two-third of the total surface area and radius of the base is 6cm,find the height of the cylinder

Answer:

B. The root/index.

Step-by-step explanation:

For example:

∛x = x^1/3

3 is the root index which becomes the denominator (3) of the exponent.

Answer:

Equation:  [tex]\frac{7}{3}t + \frac{5}{2}t = 87[/tex]

Hours: 18

Step by Step:

(7/3)t + (5/2)t = 87

(14/6)t + (15/6)t = 87

(29/6)t = 87

29t=522

t=28

Answer:

b.x=30

c.x=21

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

The minimum occurs at the turning point ( vertex )

The coordinates of the vertex are (1, - 2 ) → A

The x- intercepts are the points where the graph crosses the x- axis

This occurs at (3, 0 ) and (- 1, 0 ) → B

The axis of symmetry is a vertical line passing through the vertex

Equation of axis of symmetry is x = 1 , not y = - 2

(1, - 2 ) is a minimum not a maximum , see above

Answer:

The approximate area by Riemann Sum of the curve is represented by [tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex].

Step-by-step explanation:

The area below the curve is estimated by the concept of Riemann Sum with right endpoint rectangles, which is defined by the following formula:

[tex]A = \left(\frac{\Delta x}{n} \right) \cdot \Sigma \limits_{t = 1}^{n} g\left (x_{o} + \frac{\Delta x}{n}\cdot t \right)[/tex] (1)

Where:

[tex]A[/tex] - Area below the curve, in square units.

[tex]n[/tex] - Number of rectangles, no units.

[tex]x_{o}[/tex] - Lower bound of the interval, in units.

[tex]\Delta x[/tex] - Length of the interval, in units.

[tex]t[/tex] - Summation index.

If we know that [tex]g(x) = 2\cdot x^{3} - 4[/tex], [tex]n = 10[/tex], [tex]x_{o} = 2[/tex] and [tex]\Delta x = 4[/tex], then the area below the curve is represented by the following equation:

[tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex]

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

We know,

______________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

The coefficient of the variable x² in the expression 3x² is 3 and 4x^2 is 4

The expression is 3x²

To find : The coefficient of the variable x² in the expression

Coefficient is the number that is beside the variable in the equation.

The coefficient of x in 3x²  is 3

A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6

As we can see that the term that is in multiplication with x²  is 3.

Hence, the coefficient of x²  in the equation 3x²  is 3.

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Answer:

f(6) = - 50

Step-by-step explanation:

substitute x = 6 into f(x) , that is

f(6) = - 6² - 14 = - 36 - 14 = - 50

Answer:

-50

Step-by-step explanation:

f ( x ) = - x² - 14

Accordingly, to find the value of f ( 6 ) you have to replace x with ( 6 ).

f ( 6 ) = - (6)² - 14

f ( 6 ) = - 36 - 14

f ( 6 ) = -50

The example of Quadrant 2 is (-1, 1)

The term quadrant in math is called as the coordinate plane is divided into four equal parts by the intersection of the x-axis such as the horizontal number line and the y-axis such as the vertical number line.

Here we have to give the example for quadrant 2.

In order to find the example, first we have to know the definition and properties of quadrant 2.

The quadrant 2 is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the value of y-axis has positive numbers.

Therefore, the resulting coordinate for Quadrant 2 is written as,

=> (-1, 1)

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Answer:

89.10 trust me

Step-by-step explanation:

trust me bro

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is [tex]C=25(1.025)^x[/tex]

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

[tex]\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28[/tex]

It will take 28 years

Answer: 294 feet^2

Step-by-step explanation:

Find the volume of the cube.

Find the cube root of the volume.

Plug this answer into the formula for finding the surface area of a cube.

(area = 6 · s2)

Answer:

294cm[tex]^{2}[/tex]

Step-by-step explanation:

A cube has 6 faces

To find out the area of one face, you'd have to do 7x7 (7[tex]^{2}[/tex]).

To find out the total surface area of the cube, use this equation to help you:

AREA= 6(the amount of faces of the cube) × 7[tex]^{2}[/tex](the area of ONE face)

so in other words...

AREA=6×7[tex]^{2}[/tex]

AREA= 294cm[tex]^{2}[/tex]

hope this helped:)

Answer:

96units

Step-by-step explanation:

Applying it's formula, the surface area of the given cylinder is:

B. S = 250pi cm²

The surface area of a cylinder with radius r and height h is given by the following formula:

S = 2pi(r + h)

For this problem, the dimensions are given as follows:

r = 5 cm, b = 20 cm.

Hence we apply these measures to the given formula, and the surface area in square centimeters is given as follows:

S = 2pi(r + h)

S = 2pi x 5(5 + 20)

S = 250pi cm²

Hence option B is the correct surface area.

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Answer:

D. The points seem to be clustered around a line.

Step-by-step explanation:

The scatterplot points are spread out and forming a line, not around a point.

There are two outliers.

The smallest positive integer that is both a multiple of 7 and a multiple of 4, is 28 .

To find the smallest positive integer that is both a multiple of 7 and a multiple of 4, first find the multiples of both 4 and 7 to see which multiples are common between them and which are the lowest.

The multiples of 4 and 7 are:

Multiples of 4 :

4, 8, 12, 26, 20, 24, 28, 32, 36, 40,

Multiples of 7 :

7 , 14 , 21 , 28 , 35 , 42 , 49

The smallest positive integer that is both a multiple of 7 and a multiple of 4 is therefore 28.

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Answer: Commutative property.

Step-by-step explanation: Basically, the commutative property can be expressed as a + b = b + a, which matches this scenario pretty well. You are correct.

Let me know if this is right! :)

Answer:

5.

we have.

11x=½(16x+16+50)

22x=16x+66

22x-16x=66

6x=66

x=66/6

x=11

6.

118°=½(6x-11+181)

236=6x+170

6x=236-170

x=66/6

x=11°

7.

34°=½(arcAK-arc LN)

34×2=(110-arc LN)

arc LN =110-68

arc LN=42°

8.

<L=½(arc EN-arc KM)

<L=½(139°-73°)

<L=33

18 m²

The area is the size of a 2-dimensional shape.

Area of a Triangle

The formula for the area of a triangle is [tex]\frac{1}{2}bh[/tex], where b is the base and h is the height.

This formula comes from the fact that a triangle is half of a rectangle. Remember that the area of a rectangle is the base times the height, so a triangle would be half of this.

Solving for Area

The base of the triangle is 9 meters. Then, the height is 4 meters. So, we can plug these values into the formula.

So, A = 18. Then, since meters are being multiplied by each other, the units are meters squared. The final answer is 18 m².

Answer:

Step-by-step explanation:

from the figure we kown the speed is 9/3=15/5=21/7=3 km per minute

the distance in 8 minute is 3 ×8=24 km

Answer:

x = 5

Step-by-step explanation:

The area of the rectangle can be found by multiplying length x width:

Total Area = 55:

Length = x + 6

Width = x

Set the equation:

(x)(x + 6) = 55

First, distribute x to all terms within the parenthesis:

(x)(x + 6) = x² + 6x = 55

Next, set the equation equal to 0. Subtract 55 from both sides of the equation:

x² + 6x (-55) = 55 (-55)

x² + 6x - 55 = 0

Then, solve for x. Find factors of x² and -55 that, when combined, will result in 6x:

x² + 6x - 55 = 0

x              11

x            -5

(x + 11)(x - 5) = 0

Then, solve each individual parenthesis:

(x + 11) = 0

x + 11 (-11) = 0 (-11)

x = -11

(x - 5) = 0

x - 5 (+5) = 0 (+5)

x = 5

Note, however, that a side cannot have a negative measurement. Therefore, x = 5 is your only answer.

~

That would just be 2x(1-y2)^(1/2)

Step-by-step explanation:

you dont need any steps because i told you the answer :/

Answer:

b. 2 feet

Step-by-step explanation:

The formula for volume of a cylinder is: V=πr^2h

Start by plugging in what they give you

V=πr^2h

314 =π(r)^2(25)

314 = 25π(r)^2

divide both sides by 25π, which is 78.5

4 = r^2

take the square root of both sides

r = 2

Answer:

Step-by-step explanation:

1. The Probability that she selected 2 comedies and 1 action movie = (36/455) or 0.07912  

2. if two comedy movies were added to the list in place of the 2 mystery movie , the probability that she selected 2 comedies and 1 action movie = (18/91) or 0.1978

- I hope that makes sense, I hope its helpful, please let me know if it does.

Answer:

Then the probability of the comedies being chosen would go up because there would be more of them.

Step-by-step explanation:

If a U.S. adult is selected at random, the probability that he or she has never spent any money gambling online is 95.

Gambling, the betting or staking of something of value, with consciousness of risk and hope of gain, on the outcome of a game, a contest, or an uncertain event whose result may be determined by chance or accident or have an unexpected result by reason of the bettor’s miscalculation.

Given that there was a 5 probability of U.S. adults admitted to having spent money gambling online.

We have to find the probability of a U.S. adult selected randomly that he or she has never spent any money gambling online.

We will assume the probability of the outcome which is known as  P(E) and the probability of the outcome which we need to know as , P(E) since both are the complement of each other. Then we will substitute the value of P(E) in the formula compliment of P(E)= 1-P(E)  so as to obtain compliment of P(E)

Given that there was a 5 probability of U.S. adults admitted to having spent money gambling online, therefore

        P(E) =5

        P(E)= 5/100

               =0.05

The probability of a U.S. adult selected randomly that he or she has never spent any money gambling online will be given as compliment of P(E) , such that

compliment of P(E)= 1-P(E)

                             =0.95

                            = 0.95/100

                            =95

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Constant or Zero polynomial, Linear polynomial, Quadratic polynomial, Cubic polynomial, and Quartic polynomial are the five kinds of polynomials.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.

Constant Polynomial Function: P(x) = a = ax.

Zero Polynomial Function: P(x) = 0; where all ai's are zero, i = 0, 1, 2, 3, …, n.

Linear Polynomial Function: P(x) = ax + b.

Quadratic Polynomial Function: P(x) = ax2+bx+c.

Cubic Polynomial Function: ax3+bx2+cx+d.

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calculated margin of error = 0.376

It is a statistical term that implies the amount of permissible error within the survey data. This error indicates the difference between statistical result and actual result.

margin of error can be determined by multiplying the critical value to the standard deviation.

given, mean GPA of 75 sophomores = 3.26 = Xi

standard deviation = 0.62 = s

sample number = 75 = n

total sophomores = 500

z value of the sophomores = mean / standard deviation = 3.26 / 0.62

Z value = 5.26

margin of error = Z value × standard deviation / (√number of sample)

margin of error = 5.26 × 0.62/ √ (75)

                      = 0.376

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