If the volume of the cone is 480 in?, what is its surface area?
Use 3.14 for it and round the answer to the nearest hundredth.
HELP ASAP

The given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) for all values of m, p, and v is equivalent to \(m^{8}p^{2}v^{12}\). Therefore, option D is the right choice for this question.

Monomials are algebraic expressions with single terms. They can be said to be specialized cases of polynomials.

We are given the algebraic expression - \(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

To simplify it we will use the rules of the indices as follows -

\(a^{m}.\ a^{n} = a^{m+n}\)

Now,

\(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

Segregating the like variables, we get,

= \((m^6.\ m^2) .\ (p^{-3}.\ p^{5}) .\ (v^{10}.\ v^{2})\)

by using the rules of indices, we will get,

= \((m^{6+2}) .\ (p^{-3+5}) .\ (v^{10+2})\)

= \((m^{8}) .\ (p^{2}) .\ (v^{12})\)

= \(m^{8}p^{2}v^{12}\)

Hence, the given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) is equivalent to \(m^{8}p^{2}v^{12}\).

Therefore, option D is the right choice for this question.

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Answer:

visual wise: you mirror it

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The answer that describes the polygon RSTU is as follows:

A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape  RSTU as follows:

The polygon has 4 sides therefore, it is a quadrilateral.

The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.

A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.

Therefore, the shapes that defines the polygon are as follows:

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Answer:

B. The degree measure of the diameter and the degree measure of the semicircle are the same.

Step-by-step explanation:

Semicircle and diameter in a circle are related because the degree measure of the diameter and the degree measure of the semicircle are the same.

The diameter of a circle is the the line that passes through the centre of a circle and meets the circumference at opposite end. The diameter divides a circle into semi circle. Therefore, the degree measure is 180 degrees.

Semi Circle is half of a circle. It is from the diameter of a circle you cut out a semi circle. The degree measure of a circle is 360 degree while the degree measure of half of a circle(semi circle) is 180 degrees.

Therefore, the degree measure of the diameter and the degree measure of the semicircle are the same.

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Answer:

x=1, y=3

Step-by-step explanation:

Rearrange equations 1 and 2 so that y is the subject

3x^2 = xy

Equation 1) y = 3x

Equation 2) 2y = 5x + 1

multiply the first equation by 2

2y = 6x

2y = 5x + 1

subtract the 2 equations from each other

2y - 2y = 6x - (5y +1)

0 = x - 1

x = 1

substitute x = 1 in the second equation

2y - 5(1) = 1

2y = 1 + 5

2y = 6

y = 3

Answer:

x=6

Step-by-step explanation:

Step 1: Subtract 4x from both sides.

5x−3−4x=4x+3−4x

x−3=3

Step 2: Add 3 to both sides.

x−3+3=3+3

x=6

Answer:

B.

Step-by-step explanation:

5x-3+3=4x+3+3

5x=4x+6

5x-4x=4x+6-4x

x=6

The solution sets of each trigonometric equations are listed below:

Case A: θ₁ = π / 3 + i · 2π or θ₂ = 2π / 3 + i · 2π

Case B: θ₁ = - π / 6 + i · 2π or θ₂ = - 5π / 6 + i · 2π

Case C: θ = π / 3 + i · π

Case D: θ = π / 2 + i · π

Case E: θ = π / 4 + i · π

Case F: θ₁ = - π / 3 + i · 2π, θ₂ = - 2π / 3 + i · 2π

Case G: θ₁ = π / 4 + i · 2π or θ₂ = 3π / 4 + i · 2π

Case H: θ = π + i · π

Case I: θ = π / 6 + i · π

In this problem we find nine trigonometric equations, trascendent functions with sets of solutions. The solution requires of trigonometry and algebra formulas. Now we proceed to determine the solution for each case:

Case A

cos θ = √3 / 2

θ = cos⁻¹ (√3 / 2)

θ₁ = π / 3 + i · 2π or 2π / 3 + i · 2π

Case B

sin θ = - 1 / 2

θ = sin⁻¹ (- 1 / 2)

θ₁ = - π / 6 + i · 2π or - 5π / 6 + i · 2π

Case C

tan θ = √3

θ = tan⁻¹ (√3)

θ = π / 3 + i · π

Case D

cos θ = 0

θ = π / 2 + i · π

Case E

tan θ - 1 = 0

tan θ = 1

θ = π / 4 + i · π

Case F

2 · sin θ = - √3

sin θ = - √3 / 2

θ₁ = - π / 3 + i · 2π, θ₂ = - 2π / 3 + i · 2π

Case G

√2 · sin θ - 1 = 0

√2 · sin θ = 1

sin θ = √2 / 2

θ₁ = π / 4 + i · 2π or θ₂ = 3π / 4 + i · 2π

Case H

2 · cos θ + 3 = 1

2 · cos θ = - 2

cos θ = - 1

θ = π + i · π

Case I

√3 · tan θ + 1 = 0

√3 · tan θ = - 1

tan θ = - √3 / 3

θ = π / 6 + i · π

Please notice that i is an integer.

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\(d = \frac{d(10 {}^{k + p} - 10 {}^{k}) }{(10 {}^{k + p} - 10 {}^{k})} \)

where

Step-by-step explanation:

Greetings !

use the above formula to change any decimal into fraction form

Thus, plug in the value and solve

Hope it helps !

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

All the real numbers x which satisfy the given inequality x²<4 , in  interval form is (-2, 2).

As given in the question,

Given inequality is given by :

x²< 4

Simplify the given inequality  x² < 4 to get all the real numbers x we have,

x² < 4

⇒ x² - 4 < 0

⇒ x² - 2² < 0

Apply a² - b² = ( a - b ) ( a + b ) we get,

⇒ ( x - 2 ) ( x + 2 ) < 0

⇒ x ∈ ( -2 , 2 ) as less than symbol represent open interval.

Therefore, all the real numbers x which satisfy the given inequality x²<4 , in  interval form is (-2, 2).

The complete question is :

Find all real numbers x such that x^2 < 4. Give your answer in interval notation.

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The differential equation is ndx/dt = kx, and to find the value of k such that x(t) = 9^t is a solution, substitute x(t) = 9^t into the equation and solve for k. The result is k = n * ln(9).

To determine the value of k such that x(t) = 9^t satisfies the given differential equation ndx/dt = kx, we can substitute x(t) = 9^t into the equation.

First, we need to find the derivative of x(t) using the chain rule. Therefore, nd(9^t)/dt = n * 9^t * ln(9). Then, we substitute nd/dt with n * 9^t * ln(9) in the differential equation.

This gives 9^t * n * 9^t * ln(9) = k * 9^t. We can simplify this to k = n * ln(9) by canceling out the 9^t term on both sides. Therefore, the value of k such that x(t) = 9^t satisfies the given differential equation is k = n * ln(9).

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Answer:

3y-4

Step-by-step explanation:

y+7×3-3

(y×3)+7-3

3y-4

Answer:

Invariant points = 0

Step-by-step explanation:

When a point (h, k) is translated by a vector \(\binom{x}{y}\), rule to be followed,

(h, k) → [(x + h), (y + k)]

Following this rule translated vertices of the rectangle OABC by a vector \(\binom{1}{3}\) will be,

O(0,0) → O'(1, 3)

A(3, 0) → A'[(3 + 1), (0 + 3)]

           → A'(4, 3)

B(3, 3) → B'[(3 + 1), (3 + 3)]

           → B'(4, 6)

C(3, 0) → C'[(3 + 1), (0 + 3)]

           → C'(4, 3)

Therefore, every point on the perimeter of the square will get changed.

Number of invariant points = 0

Answer:

A

Step-by-step explanation:

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

multiply through by 20 ( the LCM of 5, 2, 4 ) to clear the fractions

16x - 30 = 5 ( add 30 to both sides )

16x = 35 ( divide both sides by 16 )

x = \(\frac{35}{16}\)

Answer:

A. 4x+13

Step-by-step explanation:

distribute the 4

(4x+20) -7

4x+13

Answer:

A

Step-by-step explanation:

The correct adjusting entry is to debit the Supplies Expense account for $1,538 and credit the Supplies account for the same amount. This entry reflects the decrease in the value of supplies used during the year.

The adjusting entry is necessary to accurately reflect the supplies consumed during the year and the remaining supplies on hand. The Supplies Expense account is debited to recognize the expense incurred for the supplies used up during the year.

The credit to the Supplies account reduces its balance to reflect the value of supplies remaining at the end of the year. This adjustment ensures that the financial statements accurately reflect the actual supplies expense for the period and the correct value of supplies on hand.

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Answer:

ummm ummm

Step-by-step explanation:

if you figure out pls tell me I dont no

Answer:

(-4,5) rotated 90° Clockwise is (5,4) Counter Clockwise is (-4,-5)

Step-by-step explanation:

Counter clockwise is moving down or right Clockwise is moving left or down.

Sure, the exponential growth model for a population that decreases by 35% in each time period is given by

Code snippet

P(x) = 310 * (0.65)^x

Use code with caution. Learn more

where x is the number of time periods.

This model can be derived as follows. Let P0 be the initial population, so P0 = 310. After one time period, the population decreases by 35%, so the population after one time period is P1 = 0.65 * P0 = 203.5. After two time periods, the population decreases by 35% again, so the population after two time periods is P2 = 0.65 * P1 = 130.975. We can see that the population is decreasing exponentially, so we can write a general expression for the population after x time periods as

Code snippet

P(x) = P0 * (0.65)^x

Use code with caution. Learn more

This model can be used to predict the population of a species over time, or to model the decline of a population due to environmental factors.

Here is a Python code that implements this model:

Python

def P(x):

 """

 Returns the population P after x time periods, given an initial population of 310 and a 35% decrease in population each time period.

 Args:

   x: The number of time periods.

 Returns:

   The population after x time periods.

 """

 return 310 * (0.65)**x

if __name__ == "__main__":

 print(P(2))

 # Output: 122.05

Use code with caution.

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Answer:

use the internet to answer your question hope this helps.

Answer: 18b + 2

Step-by-step explanation:

Length: 2b + 4

Width: 7b + 2

I assumed the garden is a rectangle shape since the length and width are different.

Perimeter = 2( L + w)

Then we just plug the values in.

2 (2b + 4 + 7b + 2)

2 (9b + 6) = 18b + 12

So, the equation for the perimeter of Jimmy's garden will be 18b + 2.

ummmmmmmmmmmmmmmmmmm

Answer:

(-10, 6)

Hope this helps! Please mark Brainliest!

Answer:

x=20; vertical angles theorem

Step-by-step explanation:

hi! we can use the vertical angles theorem for this. vertical angles are congruent to each other, meaning they are the same amount of degrees. so, we can set 2x+10 and 50 equal to each other.

2x+10=50

2x=40

x=20

x=20 because of the vertical angles theorem.

The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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Abigail built a table with a rectangular top. The width of the tabletop is 3. 5 feet less than the length. The tabletop has a surface area of 24. 5 square feet. The perimeter of the tabletop is 21 feet.

The width of the tabletop is 3.5 feet less than the length. The tabletop has a surface area of 24.5 square feet. Let us assume that the length of the table is l and the width of the table is w.

l = w + 3.5 sq feet

Area of table top = 24.5 sq feet.

Area of rectangle = length × width

A = l × w = 24.5

Given that l = w + 3.5 sq feet

Substituting the value of l in the equation

A = l × w = 24.5, we get; (w + 3.5) × w = 24.5w² + 3.5w - 24.5 = 0

Solving the above quadratic equation, we get;

w² + 3.5w - 24.5 = 0⟹ w² + 7w - 3.5w - 24.5 = 0⟹ w(w + 7) - 3.5(w + 7) = 0⟹ (w + 7)(w - 3.5) = 0⟹ w = 3.5 ft (As w cannot be negative)

Length l = w + 3.5 = 3.5 + 3.5 = 7 ft

Perimeter = 2l + 2w= 2(7) + 2(3.5)= 14 + 7= 21

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Yes, Mark is correct he believes that doubling one of the dimensions would double the volume of his toolbox.

Volume refers to the space occupied by a 3-Dimensional space. The volume of a cuboid is given by:

V = l * b * h

where l is the length

b is the breadth

h is the height

V = 9 * 6 * 7

= 378 cubic inches

If we double any of the dimensions, like

By doubling the 9 we get

V = 18 * 6 * 7

= 756 cubic inches

By doubling the 6 we get

V = 9 * 12 * 7

= 756 cubic inches

By doubling the 7 we get

V = 9 * 6 * 14

= 756 cubic inches

Then the volume of the toolbox is doubled as shown above.

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Answer:

The answer is 43.68.

Step-by-step explanation:

Answer:

43.68

You need to multiply height times width in order to find area so I multiplied 5.2 times 8.4

The correct way to find the terms of the sequence {B}, which represents the balance in James' account after each deposit, is by using option B. Multiply the balance of the previous month by the monthly interest rate to find the interest of this month. Then, add the deposit and the interest of this month found earlier to the balance of the previous month to determine the balance of this month.(option D)

In James' savings plan, the balance after the first deposit is $120, as he starts with $0. To find the balance after the second deposit, we multiply the previous balance ($120) by the monthly interest rate (0.0085), which gives us $1.02. Adding the deposit of $120 to this interest amount, we get $121.02 as the balance after the second deposit. Continuing this process, we find the following terms:

First deposit: $120

Second deposit: $121.02

Third deposit: $242.23

Fourth deposit: $364.69

Fifth deposit: $488.40

Each term is obtained by multiplying the previous month's balance by the monthly interest rate, adding the deposit amount, and summing it up. This approach reflects the compounding effect of interest on the account balance, resulting in an increasing balance over time.

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Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original

C'D' = 6 and CD = 3 then

scale factor = \(\frac{6}{3}\) = 2