The radius of a sphere is 6 units.
Which expression represents the volume of the sphere,
in cubic units?

Answer:

6.29 × 10^-5

Step-by-step explanation:

0.0000629

The number part of the answer is 6.29

To go from 0.0000629 to 6.29, the decimal point needs to move 5 places to the right, so the exponent on the 10 must be -5.

0.0000629 = 6.29 × 10^-5

Answer: 6.29*10^(-5)

Step-by-step explanation:

0.0000629=

0.629*10^(-4)=      ==> there are 4 zeros before the decimal point.

6.29*10^(-(4+1))=6.29*10^(-5)

Answer:

its by 54%

Step-by-step explanation:

because it is raising the price by making money by 54%. and that its using the calculator in any way.

Answer:

20

Step-by-step explanation:

divide 10 by 1/2

The value of x from the venn diagram if P(T | V) = 1/5 is 16

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

The venn diagram

From the venn diagram, we have the following probability values

P(T | V) = (x - 4)/(3x + x - 4)

Evaluate the like terms

So, we have

P(T | V) = (x - 4)/(4x - 4)

From the question, we have

P(T | V) = 1/5

This means that

(x - 4)/(4x - 4) = 1/5

When evaluated, we have

x = 16

Hence, the value of x is 16

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Answer:

b

Step-by-step explanation:

the answer is b because side angle side is how the angle was found, not through side side side (SSS) or (angle side side) A SS nevermind A SS is not an angle theorem

Answer:

m = 105 / 5 = 21

Step-by-step explanation:

Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

The image of point P under a 90-degree counter Clockwise rotation about the origin is (-6, -4).

To find the image of point P = (-4, 6) after a 90-degree counterclockwise rotation about the origin, we can use the following formula:

(x', y') = (xcosθ - ysinθ, xsinθ + ycosθ)

where (x, y) are the coordinates of the original point, θ is the angle of rotation, and (x', y') are the coordinates of the rotated point.

In this case, θ = 90 degrees, so we have:

(x', y') = (-4cos90 - 6sin90, -4sin90 + 6cos90)

        = (-6, -4)

Therefore, the image of point P under a 90-degree counterclockwise rotation about the origin is (-6, -4).

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Answer:

(x-4)-(x+7)=8 is x = -19

Step-by-step explanation:

To solve the equation for x, we need to simplify the left-hand side by combining the like terms:

(x-4)-(x+7)=8

x - 4 - x - 7 = 8 (distribute the negative sign)

-x - 11 = 8 (combine like terms)

To isolate x, we need to get rid of the constant term on the left-hand side. We can do this by adding 11 to both sides:

-x - 11 + 11 = 8 + 11

-x = 19

Finally, we can solve for x by multiplying both sides by -1:

x = -19

Therefore, the solution for the equation (x-4)-(x+7)=8 is x = -19.

Answer:

The correct answer is "Two times r equals the diameter of the circle. When you multiply that by pi, you get the distance around the circle, or the circumference." This is because the circumference of a circle is equal to the distance around it, which is the same as the length of its perimeter. The diameter of a circle is the straight line that passes through the center of the circle and touches both sides. Therefore, if you multiply the diameter by pi, which is the ratio of the circumference to the diameter of a circle, you get the circumference. Alternatively, you can also use the formula C = 2πr, where C is the circumference and r is the radius of the circle. Since the radius is half the diameter, the formula can also be stated as C = πd, where d is the diameter of the circle.

Step-by-step explanation:

The probability that the mouse in each age group would be killed by the wolf would be;

To calculate the probability of the given events above, the formula for probability should be used and this is given as follows:

Probability = possible outcome/sample space

The sample space = 296

For calf 0.5yr = 107/296 = 0.3615

calf 1-5 = 48/296 = 0.1622

calf 6-10 = 75/296 = 0.2500

calf 11-15 = 64/296 = 0.2162

calf 16-20 = 3/296 = 0.0101

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Answer:

x+7>=12

Step-by-step explanation:

Hope this helps.?

Can you mark my answer as brainliest please

Answer:

\(-1 \le u, v \le 1\) --- restriction

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{(1 - u^2)(1 - v^2)} + uv\)

Step-by-step explanation:

Given

\(\sin(\cos^{-1}u + \sin^{-1}v)\)

Required

Write in terms of u and v

Let:

\(a =\cos^{-1}u\)

Take arc cos of both sides

\(\cos a = u\)

Using the following trigonometry identity

\(\sin^2a + \cos^2a = 1\)

So:

\(\sin^2a = 1 -\cos^2a\)

\(\sin^2a = 1 -u^2\)

Take square roots of both sides

\(\sin a = \sqrt{1 -u^2\)

So, we have:

\(\cos a = u\)     \(\sin a = \sqrt{1 -u^2\)

Let:

\(b =\cos^{-1}{\sqrt{1 - v^2}}\)

Take arc cos of both sides

\(\cos b = \sqrt{1 - v^2\)

So:

\(\sin^2b = 1 -\cos^2b\)

\(\sin^2b = 1 - (\sqrt{1 - v^2})^2\)

\(\sin^2b = 1 - (1 - v^2)\)

\(\sin^2b = 1 - 1 + v^2\)

\(\sin^2b = v^2\)

Take square roots

\(\sin b = v\)

So, we have:

\(\cos b = \sqrt{1 - v^2\)     \(\sin b = v\)

So, we have:

\(\sin(\cos^{-1}u + \sin^{-1}v)\)

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sin(a + b)\)

Apply sine rule

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sin a\ cos b + \sin b \cos a\)

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{1 - u^2} * \sqrt{1 - v^2} + v *u\)

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{(1 - u^2)*(1 - v^2)} + v *u\)

Expand

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{(1 - u^2)(1 - v^2)} + uv\)

The restriction on u and v is:

\(-1 \le u, v \le 1\)

The numbers can be a solution for the inequality 32+a>44 is 13 and 14.

If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.

Given that;

The inequality= 32+a>44

To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.

32 + a > 44

Subtract 32 from both sides:

a > 44 - 32

a > 12

This means that any number greater than 12 can be a solution to the inequality.

Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.

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Answer:

π(6 cm) (10 cm)

Step-by-step explanation:

As we know that

The formula to calculate the lateral surface area of the cone is πrl

where

r denotes the radius i.e. 6 cm

l denotes the length i.e. 10 cm

So based on the above information

The expression that shows the lateral surface area of the cone is

π(6 cm) (10 cm)

Therefore the third option is correct

Hence, the same would be relevant

Answer:

15 cm

Step-by-step explanation:

Answer:

15 cm✨

Step-by-step explanation:

hope it helps

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Answer:

B. 61

Step-by-step explanation:

7, 10, 13, 16...

ok so were starting with 7 and adding 3 every time

im going to do 3 times 19 like as if we started with 3 then im going to add 4

3 x 19 = 57

57 + 4 = 61

the 19th term is 61

Answer:

B: 61

Step-by-step explanation:

Hope this helps :)

Answer:91

Step-by-step explanation:

The function f(x,y) = x² + y² has a minimum value of 0 at the point (0,0) and has no maximum value.

What is a function?

A function is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output.

The function f(x,y) = x² + y² represents the sum of the squares of the variables x and y. To find the extreme values of this function, we need to take the partial derivatives with respect to x and y and set them equal to zero.

∂f/∂x = 2x = 0

∂f/∂y = 2y = 0

From these equations, we can see that the critical point occurs at (x,y) = (0,0).

To determine whether this is the maximum or minimum, we can use the second partial derivative test. The second partial derivatives are:

∂²f/∂x² = 2

∂²f/∂y² = 2

∂²f/∂x∂y = 0

At (0,0), ∂²f/∂x² > 0 and ∂²f/∂y² > 0, so the critical point is a minimum.

Therefore, the function f(x,y) = x² + y² has a minimum value of 0 at the point (0,0) and has no maximum value.

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Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

The exit to the restaurant is at mile marker 190. The car passed the 250-mile marker twice, once at 1:48 PM and again at 1:50 PM.

Distance is a measure of the physical space between two points or objects. It is often measured in units such as meters, feet, or miles, depending on the system of measurement being used. Distance can be measured in a straight line, also known as the "as-the-crow-flies" distance, or it can be measured along a curved path, such as a road or a hiking trail.

Here's a graph of the car's position as a function of time:

    |                           .

    |                       .

    |                    .

    |                 .

    |              .

    |          .

    |      .

    |  .

----+---------------------------> Highway Mile Markers

    160           x           y

The car travels north from mile marker 160 at a rate of 50 mph for 3 hours, so it covers a distance of 150 miles and reaches mile marker 310 at 1:00 PM. Then, the car travels south at a rate of 60 mph for 2 hours, covering a distance of 120 miles. The location of the restaurant can be found by subtracting the distance traveled south from mile marker 310: 310 - 120 = 190. So the exit to the restaurant is at mile marker 190.

To find the time(s) the car passed the 250-mile marker, we can set up two equations:

Northbound: 160 + 50t = 250

Southbound: 310 - 60t = 250

Solving the first equation gives t = 1.8 hours, or 1:48 PM. Solving the second equation gives t = 1.83 hours, or 1:50 PM. So the car passed the 250-mile marker twice, once at 1:48 PM and again at 1:50 PM.

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a) Using the four basic mathematical operations, the number of balloons that each person hang up is 9.

b) An equation representing the situation is x = (125 - 80)/5.

The four basic mathematical operations include addition, subtraction, division, and multiplication.

The mathematical operations provide solutions to mathematical problems using operands.

An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.

The total number of balloons that Andre has = 125

The number of balloons remaining after hanging some for the school party = 80

The difference (number of balloons used) = 45 (125 - 80)

The number of friends who hang the balloons = 5

The number of balloons hung by each friend of Andre = 9 (45/5)

Thus, we can conclude that each of the 4 friend and Andre hung 9 balloons, with 80 remaining.

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Answer: 12.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer:

250

Step-by-step explanation:

because there is a chance and 1/2*100=250 which is the answer for the chance