The radius of a sphere is multiplied by . What effect does this have on the volume of the sphere? A. The volume of the sphere is multiplied by 1/343. B. The volume of the sphere is multiplied by 1/49. C. The volume of the sphere is multiplied by 1/7 . D. The volume of the sphere is multiplied by 1/21 . E. The effect on the volume of the sphere cannot be determined.

Therefore the answer is 27 or more months to depreciate to less than £1200 at a rate of 5% per month.

Depreciation is a phrase that covers two different elements of the same idea: first, the real decline in an asset's fair value, such as the annual decline in the worth of industrial equipment.

Your balance sheet may be broken down into two categories, assets and liabilities, in its most basic form. A company's assets are any possessions that have the potential to provide future financial gain. Your debts to other people are called liabilities. In other words, assets increase your wealth while obligations decrease it.

The value of the motorbike will decrease by 5/100 = 0.05 (or 5%) each month. So, to find out how many months it will take for the value of the motorbike to decrease from £2550 to less than £1200, you need to solve the following equation:

£2550 - (0.05 * x) < £1200

where x is the number of months.

You can re-arrange the equation to solve for x:

x > (2550 - 1200) / 0.05

x > (1350) / 0.05

x > 27

So it will take the motorbike 27 or more months to depreciate to less than £1200 at a rate of 5% per month.

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The amount of sand in each vase is 2.8 pounds by dividing the total amount by the number of vases.

Given that,

Raj combined white sand with black sand to make 14 pound mixture of sand.

Total amount of sand = 14 pounds

Number of vases to which sand is put = 5 vases

Amount of sand in each vase can be found by dividing the total amount by the number of vases.

Amount of sand in each vase = 14 / 5 = 2 4/5 pounds = 2.8 pounds

Hence the total amount of sand is 2.8 pounds.

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Answer:

165 of the animals at the shelter are cats.

Step-by-step explanation:

If one-fourth of the animals at the shelter are cats and there are 660 animals at the shelter, to get the number of cats you divide the total number of animals by the percentage of cats.

660 / 4 = 165

Answer:

1/6

Step-by-step explanation:

if there is 1/3 bag of candy, 1/3 of 1/3 is 1/9

Answer:

\(2sec^2xtanx\)

Step-by-step explanation:

\(\frac{d}{dx} tan^2x\)

\(\frac{d}{dx} tanxtanx\)

\((\frac{d}{dx}tanx)(tanx)+(tanx)(\frac{d}{dx}tanx)\)

\(\frac{d}{dx}tanx=\frac{d}{dx}\frac{sinx}{cosx}=\frac{(cosx)(cosx)-(sinx)(-sinx)}{(cosx)^2}=\frac{cos^2x+sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x\)

\((sec^2x)(tanx)+(tanx)(sec^2x)\)

\(2sec^2xtanx\)

Helpful tips:

Product Rule: \(\frac{d}{dx}f(x)g(x)=f'(x)g(x)+f(x)g'(x)=\frac{d}{dx}f(x)*g(x)+f(x)*\frac{d}{dx}g(x)\)

Quotient Rule: \(\frac{d}{dx}\frac{f(x)}{g(x)}=\frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}=\frac{g(x)\frac{d}{dx}f(x)-f(x)\frac{d}{dx}g(x)}{(g(x))^2}\)

Pythagorean Identity: \(cos^2x+sin^2x=1\)

Answer:8

Step-by-step explanation:8x1=8

Answer:

2×2×y¹+¹+¹+¹

that is 4y⁴

marke as brainliest pls

I believe that the answer would be to count up the y's and the 2's. so in this case it would be 4 • 4y

Answer:

-243, 729

Step-by-step explanation:

pattern is to multiply by -3 to get next number

Answer:

There is one solution. The solution is 2, 18, 19.

Step-by-step explanation:

If you want me to show working tell me in the comments and I'll edit the answer

Answer:

A. (2, 18, -19)

Step-by-step explanation:

To solve:

Z is the most suitable variable to remove first

Add the first equation to the second equation: (this conveniently removes both y and z)

(x+y-z) + (4x-y+z) = 1+9

Simplify

5x = 10

Solve

x = 2

Multiply the second equation by 2 and minus it to the third equation: (Solve for y)

2(4x-y+z) - (x-3y+2z) = 2(9) - (-14)

Simplify

8x-2y+2z-x+3y-2z=18+14

7x+y=32

Substitute using x=2

7(2) + y = 32

y = 32 - 14

y = 18

Now substitute x and y for their respective values into Equation 1

2 + (-18) - z = 1

Simplify

-z = 19

z = -19

So :

x = 2, y = 18 , z = -19

The expression |-4| has a value of 4 when evaluated

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

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When the x-values rise while the y-values fall, this is known as a declining pattern. So, as x increases from 3 to 6, the graph declines. When the point on the graph at the interval's left end is higher than the interval's right end, the average rate of change will be declining.

An indicator of how much the function changed on average per unit throughout that time is the graph's average rate. In the graph of the function, it is calculated from the slope of the straight line joining the interval's ends. So, by applying the average rate of change formula, the slope of a graphed function is calculated.

Hence divide the y-value change by the x-value change in order to determine the average rate of change. When analyzing changes in observable parameters like average speed or average velocity, finding the average rate of change is extremely helpful.

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The complete question is:

Choose the intervals where the graph has a decreasing average rate of change. The graph is attached below:

x = 0 to x = 13

x = 3 to x = 6

x = 4 to x = 8

x = 6 to x = 10

The whole number that can be substituted for z is 1.

To order these numbers from least to greatest, we need to first find a value for x that makes the expressions comparable.

1/x can be rewritten as 0.01/x

80% can be written as 0.8

So, the list becomes:

0.01/x, x/3, 0.8

To compare 0.01/x and x/3, we can cross-multiply and simplify:

0.01/x < x/3

0.01*3 < x^2

0.03 < x^2

x > sqrt(0.03)

Since x has to be a whole number, the smallest possible value for x is 1.

So, substituting x = 1, the list becomes:

0.01, 1/3, 0.8

Ordering these from least to greatest, we get:

0.01, 0.8, 1/3

Therefore, the whole number that can be substituted for z is 1.

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We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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Answer:

The surface area is 65.94 ft

Area of sector XYZ is 81.45 feet².

The area of a sector is a measure of the size of a portion of a circle enclosed by two radii and an arc between them. It is expressed in square units, such as square centimeters, square meters, or square inches.

To find the area of a sector, you need to know the radius of the circle and the central angle of the sector.

The formula for the area of a sector is:

Area of sector = (central angle / 360°) x π x r²

where r is the radius of the circle, π is the mathematical constant pi (approximately 3.14), and the central angle is measured in degrees.

n is the area of sector XYZ

n/360=115/255(X)

n/255=115/360(V)

(The same elements are proportional)

n=115/360×255

n=81.4583≈81.45 feet²

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We can use the logarithmic identity log_a(b) + log_a(c) = log_a(bc) to simplify the left side of the equation:

log_2(x) + log_4(x+1) = log_2(x) + log_2((x+1)^(1/2))

Using the rule log_a(b^c) = c*log_a(b), we can simplify further:

log_2(x) + log_2((x+1)^(1/2)) = log_2(x(x+1)^(1/2))

Now we can rewrite the equation as:

log_2(x(x+1)^(1/2)) = 3

Using the rule log_a(b^c) = c*log_a(b), we can rewrite this as:

x(x+1)^(1/2) = 2^3

Squaring both sides, we get:

x^2 + x - 8 = 0

This is a quadratic equation that can be solved using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 1, and c = -8. Plugging in these values, we get:

x = (-1 ± sqrt(1^2 - 4(1)(-8))) / 2(1)

x = (-1 ± sqrt(33)) / 2

x ≈ -2.54 or x ≈ 3.54

However, we must check our solutions to make sure they are valid. Plugging in x = -2.54 to the original equation results in an invalid logarithm, so this solution is extraneous. Plugging in x = 3.54 yields:

log_2(3.54) + log_4(4.54) = 3

0.847 + 0.847 = 3

So x = 3.54 is the valid solution to the equation.

The solution by substituting 15 for b in the Original equation. The answer is true.

The steps needed to solve the equation b + 6 = 21 are:

Subtract 6 from both sides of the equation: b + 6 - 6 = 21 - 6, which simplifies to b = 15.

Check the solution by substituting 15 for b in the original equation: 15 + 6 = 21, which is true.

Therefore, the correct steps to solve the equation are:

Subtract 6 from both sides of the equation. The answer is b = 15

the solution by substituting 15 for b in the original equation. The answer is true.

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Answer:

26) Let the first number be x.

Sum of three consecutive even numbers:

\(x+(x+2)+(x+4)=-84\)

\(x+x+2+x+4=-84\\\)

\(3x+6=-84\)

Subtract 6 from both sides:

\(3x+6-6=-84-6\)

\(3x=-90\)

Divide both sides by 3:

\(\frac{3x}{3}=\frac{-90}{3}\)

\(x=-30\)

To find the other two numbers, add 2 and 4 respectively:

\((-30+2=-28)(-30+4=-26)\)

27) Let the first number be x.

Sum of three consecutive odd integers:

\(x+(x+2)+(x+4)=141\)

\(3x+6=141\)

Subtract 6 from both sides:

\(3x+6-6=141-6\\3x=135\)

Divide both sides by 3:

\(\frac{3x}{3}=\frac{135}{3}\\x=45\)

To find the other two numbers, add 2 and 4 respectively:

\((45+2=47)(45+4=49)\)

28) Let the first number be x.

Sum of four consecutive integers:

\(x+(x+1)+(x+2)+(x+3)=54\)

\(4x+6=54\)

Subtract 6 from both sides:

\(4x+6-6=54-6\\4x=48\)

Divide both sides by 4:

\(\frac{4x}{4}=\frac{48}{4}\\x=12\)

To find the other three numbers, add 1, 2 and 3 respectively:

\((12+1=13)(12+2=14)(12+3=15)\)

29) Let the first number be x.

Sum of four consecutive integers:

\(x+(x+1)+(x+2)+(x+3)=-142\)

\(4x+6=-142\\\)

Subtract 6 from both sides:

\(4x+6-6=-142-6\)

\(4x=-148\)

Divide both sides by 4:

\(\frac{4x}{4}=\frac{-148}{4}\\x=-37\)

To find the other three numbers, add 1, 2 and 3 respectively:

\((-37+1=-36)(-37+2=-35)(-37+3=-34)\)

Answer:

the first two answers are perpendicular

Answer:

The pattern is multiplying by 2.

Next three terms: 64,128,256

Step-by-step explanation:

4,8,16,32

To get from 4 to 8 we can multiply by 2.

To get from 8 to 16 we can multiply by 2.

To get from 16 to 32 we can multiply by 2.

So the pattern is multiplying by 2.

To find the next three terms:

32*2=64

64*2=128

128*2=256

The surface area of the two hemispheres combined is 100π square meters, and the volume of the two hemispheres combined is (500/3)π cubic meters.

The circumference of a great circle on a sphere is given by the formula C = 2πr, where r is the radius of the sphere.

In this case, we are given that the circumference of the great circle is 10π meters, so we can set up an equation:

10π = 2πr

Dividing both sides by 2π, we get:

r = 5

So the radius of the sphere is 5 meters.

When the sphere is cut in half, we get two equal hemispheres. The surface area of a closed hemisphere is given by the formula A = 2πr^2, where r is the radius of the hemisphere.

Since we are dealing with a radius of 5 meters, the surface area of one hemisphere is:

A = 2π(5^2) = 50π

Therefore, the surface area of the two hemispheres combined is:

2A = 2(50π) = 100π

The volume of a closed hemisphere is given by the formula V = (2/3)πr^3. Again, since we are dealing with a radius of 5 meters, the volume of one hemisphere is:

V = (2/3)π(5^3) = (2/3)π125 = (250/3)π

Therefore, the volume of the two hemispheres combined is:

2V = 2(250/3)π = (500/3)π

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Refer to the images attached. Edit: I realized after uploading this answer that the integral in terms of y is MUCH easier, so I attached that as well :) But at least you know it can be done both ways!

Answer:

  36,2,13,21

Step-by-step explanation:

At its simplest, it is a repeating sequence of 4 numbers:

  36,2,13,21

So, those are the four missing numbers.

options 1 and 4

Explanation

when you have a polynomial function :

When n is even and an is positive the behavior is Graph rises to the left and right

and

When n is odd and an is positive the behavior is :Graph falls to the left and rises to the right

then

n=3=odds, then

Graph falls to the left and rises to the right

in other words, if x becomes bigger f(x) becomes bigger too,

so the answer are

options 1 and 4

Answer: offf

Step-by-step explanation:off

The equation of the line of best fit is: y = (-2/3)x + 26/3

To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the points:

m = (2 - 4) / (10 - 7)

m = -2 / 3

Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):

4 = (-2/3)(7) + b

4 = -14/3 + b

To find the value of b, we can rearrange the equation:

b = 4 + 14/3

b = 12/3 + 14/3

b = 26/3

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The approximate perimeter of the right triangle is 57.89 cm.

To find the perimeter of the right triangle, we need to know the lengths of the other two sides.

Let's use the Pythagorean theorem, which asserts that the hypotenuse (the longest side) of a right triangle has a square whose sum is equal to the squares of the other two sides.

In this case, we know the length of the hypotenuse is 24 cm and the height (one of the other sides) is 16 cm. Let's call the third side x.

So we have:

\(24^2 = 16^2 + x^2\)

Simplifying, we get:

\(576 = 256 + x^2\)

Subtracting 256 from both sides, we get:

\(320 = x^2\)

Taking the square root of both sides, we get:

x ≈ 17.89

So the approximate perimeter of the triangle is:

P = 24 + 16 + 17.89 ≈ 57.89 cm

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Answer:

1. 8 x 8 ÷ 2

2. 64 ÷ 2 = 32

Step-by-step explanation:

(7+1) becomes 8 and 8 x 8 becomes 64

64 ÷ 2 = 32

Answer:

the 3rd one 3x = -9

Step-by-step explanation:

yeah-ya........ right?