Point B (-4,4) and D (10,4) lie on circle G. The line segment connecting the two points

Answers:

=======================================

Explanation:

Therefore, the volume of the resulting solid is approximately 35728.458 cubic units.

To find the volume of the resulting solid, we can subtract the volume of the hole from the volume of the ball.

Volume of the ball: V_ball = (4/3) * π * (radius)^3

Volume of the hole: V_hole = (4/3) * π * (radius_hole)^3

In this case, the radius of the ball is 14, and the radius of the hole is 4.

Volume of the resulting solid = V_ball - V_hole

= (4/3) * π * (14^3) - (4/3) * π * (4^3)

= (4/3) * π * (14^3 - 4^3)

= (4/3) * π * (2744 - 64)

= (4/3) * π * 2680

≈ 35728.458 cubic units

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Answer:

8x³y⁵

Step-by-step explanation:

this is tje answer

Answer:

x = 4

Step-by-step explanation:
1.Distribute

2. Subtract 2 from both sides
3. Simplify
4. Divide both sides by same factor

5. Simplify
x = 4

Answer: 4

Step-by-step explanation:

We have to try getting x by itself to solve for it. Since we have two sides that are equal to each other, we can add, subtract, multiply, and divide anything on both sides to try to isolate x.

\(2(x+1)=10\)

We can first divide the left side and the right side by 2. This would remove the 2 being multiplied on the outside.

\(\frac{2(x+1)}{2}=\frac{10}{2}\\x+1=10\div 2\\x+1=5\)

Now, we have a + 1 on the left side that we need to remove to get x by itself. If we are adding something, we can remove that by subtracting the same thing. Hence, we can subtract 1 from both sides to remove the + 1.

\(x+1=5\\x+1-1=5-1\\x+0=4\\x=4\)

After all that simplifying, we get that x equals 4.

Answer:

13

Step-by-step explanation:

4^2 is 16

16-3=13

that's all that you have to do you replace the x with 4 and do a normal equation

Answer: y=13

Y=(4)^2-3

y=16-3

y=13

40,000 is 10 times as much as 4,000.

First, let us know about place value:

Place value is the value provided by a digit in a number based on its place in the number. For example, 5 hundred or 500 is the place value of 5 in 4,524. The place value of 8 in 8,359 is, nevertheless, 8 thousand or 8,000.

Also, let us understand about patterns;

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and so on. The Pattern can be associated with any kind of event or object. A pattern is defined as a set of integers that are related to one another in a specified way. Patterns are sometimes referred to as sequences.

Now,

Let the number be x.

So,

x * 10 = 40,000

x = 40,000/10

x = 4,000

So, the required number is x.

Thus, 40,000 is 10 times as much as 4,000.

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There are 3,024 different ways to choose 4 different officers from a club of 9 people.

We have,

To determine the number of ways to choose 4 different officers (president, vice president, treasurer, and secretary) from a club of 9 people, we can use the concept of permutations.

Since each position must be filled by a different person, we need to find the number of permutations of 9 people taken 4 at a time.

The formula for the number of permutations of n objects taken r at a time is given by:

P(n, r) = n! / (n - r)!

In this case, we have n = 9 (number of people in the club) and r = 4 (number of positions to be filled).

Using the formula, we can calculate the number of ways to choose the officers:

P(9, 4) = 9! / (9 - 4)!

= 9! / 5!

= (9 x 8 x 7 x 6 x 5!) / 5!

= 9 x 8 x 7 x 6

= 3,024

Therefore,

There are 3,024 different ways to choose 4 different officers from a club of 9 people.

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Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

Answer:

a=2

Step-by-step explanation:

5+14a=9a-5 subtract 9a from both sides

5+5a=-5 subtract 5 from both sides

5a=-10 divide by 5 on both sides

a=-2

hope you do well :)

Answer:

50 hours

Step-by-step explanation:

10 times 5 is 50 so the answer is 50 hours

Answer:

V = 400 m^3

Step-by-step explanation:

The volume of a square pyramid is

V = 1/3 Bh where B is the area of the base and h is the height

B = 10 *10 = 50

V = 1/3 (100)* 12

V = 400 m^3

Answer:

sin (3 x) - cos (x)=

= sin (2x + x) - cos (x)=

= sin 2x * cos x + cos 2 x * sin x - cos x = ( using additional formulas )

= 2 sin x cos² x + ( cos² x - sin² x ) sin x - cos x =

= 2 sin x cos² x + ( 1 - sin² x - sin² x ) sin x - cos x =

= 2 sin x cos² x + ( 1 - 2 sin² x ) sin x - cos x =

= 2 sin x cos² x + sin x  - 2 sin³ x - cos x

Answer: B )

Step-by-step explanation:

I can help you with that problem i just did that on my own.

Answer:

do you mean y=2+4x?

if it is, it would be the top one.

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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Answer:

d. table A and graph A

Step-by-step explanation:

y=3x

y = 3X is represented by graph B .

y = 3X is represented by table A .

Hence option C is correct .

Given, Equation : y = 3X

Now, to get the values of y substitute x.

Firstly table A:

y = 3X

x = 1 : y = 3

x = 2 : y = 6

x = 3 : y = 9

Thus table A represents the equation .

Next graph B :

Starting point of graph B is origin.

Coordinates of origin : (0,0)

Equation of graph B : y = 3X

Thus graph B represents the equation .

Therefore option C is correct .

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Answer:

Square. If the middle is 90° then all of them have to be.

Answer:

Square

Step-by-step explanation:

Technically that shape is all of them, because squares are all quadrilaterals, but the square is the most precise that you can get.

Hope that this helps!

The angles Θ are:

Θ = 45°

Θ = 225°

If tan = 1, the angle can be found by taking the inverse tangent (or arctan) of 1.

Because tangent is positive in the first and third quadrants, we must examine angles ranging from 0° to 360° that fall within those quadrants:

We have the following in the first quadrant:

arctan(1) = 45° if tan = 1

We have the following in the third quadrant:

225° = tan = 1 + 180° = arctan(1)

As a result, the possible angles for are 45° and 225°, which satisfy the equation tan = 1.

As a result, the angles are:

Θ = 45°

Θ = 225°

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Answer:

HCF × LCM = product of two numbers

product = 120 × 4 = 480

possible pairs of number

(4,120),(8,60),(12,40),(20,24)

Answer:

The points are (0, 4) and (5, 1).

Using the formula for slope, we have:

\(m = \frac{1 - 4}{5 - 0} = - \frac{3}{5} \)

\(y = - \frac{3}{5} x + 4\)

After working 8 hours and grading 9 papers per hour, it is expected Autumn has 11 papers left.

To calculate the number of papers she can grade during this time, let's use the rate provided:

This means in 9 hours she can grade 72 papers.

Now, let's calculate the number of papers left:

Based on this, the total of papers left after working for 8 hours is 11 papers.

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The synergy from the merger is $4,125,000.

To calculate the synergy from the merger, we need to compare the value of Fly-By-Night before and after the acquisition of Flash-in-the-Pan Restaurants. The synergy represents the additional value created through the combination of the two firms.

Given that the purchase of Flash-in-the-Pan Restaurants is expected to increase Fly-By-Night's annual after-tax cash flow by $330,000 indefinitely, we can calculate the present value of this incremental cash flow using the appropriate discount rate of 8 percent.

Present Value of Incremental Cash Flow = Incremental Cash Flow / Discount Rate

Present Value of Incremental Cash Flow = $330,000 / 0.08

Present Value of Incremental Cash Flow = $4,125,000

Now, we can determine the value of Fly-By-Night after the merger by adding the present value of the incremental cash flow to its current market value:

Value of Fly-By-Night after Merger = Current Market Value of Fly-By-Night + Present Value of Incremental Cash Flow

Value of Fly-By-Night after Merger = $23 million + $4,125,000

Value of Fly-By-Night after Merger = $27,125,000

The synergy from the merger can be calculated by subtracting the market value of Fly-By-Night before the merger ($23 million) from the value of Fly-By-Night after the merger ($27,125,000):

Synergy = Value of Fly-By-Night after Merger - Current Market Value of Fly-By-Night

Synergy = $27,125,000 - $23 million

Synergy = $4,125,000

Therefore, the synergy from the merger is $4,125,000. This represents the additional value that would be created through the acquisition of Flash-in-the-Pan Restaurants by Fly-By-Night.

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Answer:

Part A:

A pair of linear equations can only have one solution or infinitely many solutions. In this case, there would only be one solution as they intersection at only one point.

Part B:

The solution would be (3, 4) because it is the point of intersection between the two linear lines.

The factor which cause the population change in 1/2 hour is "multiply by approximately 2.236" or "increase by a factor of approximately 2.236."

The bacteria population is growing exponentially at a rate of 5 per hour.

Therefore, in half an hour, the population would increase by a factor of 5 raised to the power of 0.5 (since 1/2 hour is half of 1 hour).

This is equivalent to the square root of 5, which is approximately 2.236. So the population would increase by a factor of approximately 2.236 in half an hour.

This means that if the initial population was, say, 100 bacteria, then in half an hour it would be approximately 223.6 bacteria (i.e. 100 multiplied by 2.236).

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Answer:

1/6

Step-by-step explanation:

To know what fraction is equal to 50% of 1/3, we have to convert the percentage into a fraction first.

50% = 50/100

So 50% of 1/3 = 1/3 * 50/100

= 50/ 300

= 5/30

= 1/6

Answer:

$3!

Step-by-step explanation:

15/100 x 20 = 3

Answer: $3

Step-by-step explanation:

Multiply 20 by .15 (to resemble 15%) and the answer you get is 3

Hope this helped

Using partial derivatives, we know that in order to optimize profit, the company should produce 7,000 type A solar panels and 8,000 type B solar panels annually.

A function of two or more variables can yield partial derivatives.

Writing the derivative with regard to x while treating all other variables as constants allows one to determine the partial derivative of a function with respect to one variable, let's say x.

The partial derivatives for each of the other

So, for a business making two different types of solar panels, the revenue and cost functions are provided by:

\(\begin{aligned}&R(x, y)=4 x+2 y \\&C(x, y)=x^2-4 x y+9 y^2+22 x-114 y-5\end{aligned}\)

If revenue and cost are stated in millions of dollars annually, x represents the thousands of type A solar panels produced and sold annually, and y represents the thousands of type B solar panels produced and sold annually.

By deducting costs from revenues, the profit function is obtained as follows:

\(\begin{aligned}&P(x, y)=R(x, y)-C(x, y) \\&P(x, y)=4 x+2 y-\left(x^2-4 x y+9 y^2+22 x-114 y-5\right) \\&P(x, y)=-x^2-9 y^2-18 x+116 y+4 x y+5\end{aligned}\)

The profit function's partial derivatives with regard to x and y are as follows:

\(\begin{aligned}&\frac{\partial P}{\partial x}=-2 x+4 y-18 \\&\frac{\partial P}{\partial y}=4 x-18 y+116\end{aligned}\)

When both of these partial derivatives are equal to zero, the profit is maximized:

\(\begin{aligned}&0=-2 x+4 y-18 \\&0=4 x-18 y+116\end{aligned}\)

The first equation above is multiplied by two, and the two equations are then added to yield:

\(\begin{aligned}&0=-10 y+80 \\&y=8\end{aligned}\)

Inputting into the first equation results in:

\(\begin{aligned}&0=-2 x+4(8)-18 \\&2 x=14 \\&x=7\end{aligned}\)

Therefore, using partial derivatives, we know that in order to optimize profit, the company should produce 7,000 type A solar panels and 8,000 type B solar panels annually.

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Answer:  -2x + 5y = 8

Step-by-step explanation:

Since the lines must be parallel, the slopes must be the same, so keep the coefficients of x and y

Substitute the values of x and y from the given coordinate  (6,4) to find the new constant, b, the y-intercept.

-2x + 5y = b

-2(6) + 5(4) = b

-12 + 20 = b

8 = b

Rewrite the original equation substituting the new b for the original -15

-2x + 5y = 8