What are the center and radius of the circle defined by the equation
x2 + y2 - 6x+8y +21= 0 ?

The first thing we need is the formula. SO what's the formula? the formula for Volume of all geometry object is Base * height, but because this is a sphere. The formula is actually 4/3πr^3! Remember, we also need units. so lets start solving. The radius is 5  meters so . 4/3π*5m^3. Therefore we have about 523.6meters^3. Hope you like my question

Answer = 523.6meters^3

The volume of the given sphere with radius 5 meters is given by 523.33 m³.

Any three-dimensional solid's volume is the area it takes up. The shapes of these solids include cubes, cuboids, cones, cylinders, and spheres. Forms come in a wide range of volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylinders, cones, and more.

As per the given data:

Radius of the sphere = 5 meters

Value of π as given in the question = 3.14

{always use the same value of π as given in the question}

For finding the volume of a sphere with a given radius:

[tex]V = \frac43 \pi r^3[/tex]   {where r is the radius}

[tex]V = \frac43 \times 3.14 \times 5^3[/tex]

V = 523.33 m³

Hence, The volume of the given sphere with radius 5 meters is given by 523.33 m³.

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Answer:

6

Step-by-step explanation:

Replace the variables.

5(3) - 2(4.5) = ?

15 - 9 = ?

15 - 9 = 6

Answer:

f(5) = 30  so x=5

Step-by-step explanation:

We want to find the value of x which makes the y value of the function 30

Looking at the graph x=5 makes y=30

Answer:

y = -2

Step-by-step explanation:

The formula for point-slope is as follows:

y - y1 = m(x - x1)

We are given the slope, m, or 0, and we are given the point (8, -2), which we can substitute into the point (x1, y1):

y + 2 = 0(x - 8)

y + 2 = 0

y = -2

Answer:

$9.05

Step-by-step explanation:

x = $adult

y = $kid

2x + 3y = 72.85 (Heather)

2x + 5y = 94.75  (Carl)

subtract the equations to get:

-2y = -21.90

y = 10.95

solve for 'x':

2x + 3(10.95) = 72.85

2x + 32.85 = 72.85

2x = 40

x = 20

Difference between 20 and 10.95 is $9.05

Answer:

$420

Step-by-step explanation:

Divide to isolate the cost

240 / 4 = 60 - amount per person (for 4 people)

60 / 5 = 12 - amount per person per day (5 days)

Multiply using that cost and new values.

12 x 5 = 60

60 x 7 = 420

Answer:

1. A

2. B

3. B

4. C

5. A

Step-by-step explanation:

1. Data: is referred to as the collection of facts such as values and measurement. It include but isn't limited to attributes, names, fields and definitions that are being used in a computer database system.

2. Quantitative: this nature of data can be classified as discrete or continuous data. It is typically based on numerical values such as mathematical or statistical analysis of data gathered or collected from various sources e.g questionnaires, polls, surveys etc.

3. Sample: it is a sub-collection of elements coming from a certain population. Sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

4. Black, blue, yellow, and red are examples of what qualitative data according to its nature. It includes variables that are non-numerical in nature i.e they are categorical. For example, the color of a car, gender, shapes etc.

5. Juan conducted his research using a survey method because he created a questionnaire so as to gather data from his participants.

Answer:

2

Step-by-step explanation:

You would make 1/4 into 4/1 and then you would multiply 1/2 by 4/1 to get 4/2 which is equal to 2

1/2 * 4/1 = 4/2 = 2

1 * 4 = 4

2 * 1 = 2

Answer:

M(t) = ($10/hr)t + $100

Step-by-step explanation:

M(t) will represent the amount of money John earns in one day as a function of the number of hours he works, assuming he only rents out one car.  Then:

M(t) = ($10/hr)t + $100

Answer:BC=68

DE=36

CE=34

Step-by-step explanation:

Since  D, E and F are the midpoints, they follow the midpoint theorm which states that "The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side." As for others, it's just the calculation.

Answer:

D. 2

Step-by-step explanation:

Multiply the exponents to simply equation

5/3 * 1/5 = 5/15 = 1/3

8^1/3 = 2

Cube root of 8 is 2

Answer:  There are 177100 possible groups.

Step-by-step explanation:

Given: Total employees = 25

Number of  employees  wants to choose = 6

The combination of n things taken r at a time is given by:-

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Put n = 25 and r= 6, we get

[tex]^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100[/tex]

Hence, there are 177100 possible groups.

Answer: [tex]2\ \text{units}[/tex]

Step-by-step explanation:

Given

Rate of increase in area of the circle is numerically equal to twice the rate of increase to twice the rate of increase in its circumference.

It can be written as

[tex]\Rightarrow \dfrac{d(\pi r^2)}{dt}=2\times \dfrac{(2\pi r)}{dt}\\\\\Rightarrow 2\pi r\dfrac{dr}{dt}=4\pi \dfrac{dr}{dt}\\\\\Rightarrow r=2\ \text{units}[/tex]

Answer:

-3

Step-by-step explanation:

The number 4 is the plotted point on the y-axis, meaning the next point would be located down 3 and right 1 (-3 over 1) and so on. The rise over run is the m in y=mx+b.

Answer:

1

Step-by-step explanation:

1. To get the slope, you need to divide the rise by the run.

2. Pick two points each on the X-axis and pick corresponding points on the Y axis and then name them y2, x2 and y1, x1.

3. The rise will be y2-y1

4. The run will be x2-x1

5. Therefore, the slope is rise/run = (y2-y1)/(x2-x1)

In this case, let's take 2 on the X axis as x2 and the corresponding point on the Y axis  as y2 which in this case happens to also be 2.

Now, let's take 1 on the X axis as x1 and the corresponding point on the Y axis  as y1 which is also 1.

now using the formula (y2-y1)/(x2-x1), we get: slope = (2-1)/(2-1) = 1

Answer:

take out x+60 and = x+54 cross multiply for starters

Answer:

answer is 1

Step-by-step explanation:

3 and 3 gets cancel .when you divide the same number answer is always 1

Answer:

you need all answers????

Answer:

hope it's helpful my dear gana

Answer:

Step-by-step explanation:

take 109 degree as reference angle

using sin rule

sin 109=opposite/hypotenuse

0.94=c/36

c=0.94*36

c=33.84

c=33.8

Answer:

gimme pints

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

D should be the right answer

Step-by-step explanation:

for the other choices the grammar doesn't sound quite right to me

Answer:

40 + 3n

Step-by-step explanation:

40 is starting number

3n is 3 times the number in the sequence because it goes up by 3 each term

Answer:

Step-by-step explanation:Here's li[tex]^{}[/tex]nk to the ansly/3fcEdSxwer:

bit.[tex]^{}[/tex]

Step-by-step explanation:

1/4+3/10+5/21

105+42+100/420

=247/420

=0.588

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

[tex]\longrightarrow \dfrac{247}{420} [/tex]

or

[tex]\longrightarrow0.588[/tex]

_____________________________

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

Answer:

b

Step-by-step explanation: