The center of circle (x-7)^2+(y-2)^2=100 is (-7,-2) . TRUE OR FALSE ?!

Answers

Answer 1

Answer: The answer would be false because the formula for a circle is:

(x-h)^2+(y-k)^2=r^2

Some people use (h, k) as the center or (a, b). It does not make a difference. Since the formula subtracts, you must flip the sign to find the circle. The real center is (7, 2)

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Identify the domain of the equation y = x2 − 6x + 1.x ≤ 3

x ≥ −8

x ≥ −2

All real numbers

Answers

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain...(I'm including the range..)

Domain:(-∞,∞),{x║x ∈ R}

Range:(-8,∞),{y║y≥-8}

If you put $1205.00 in an account that earns 2.5% simple interest. Find the total amount in the account after four years.

Answers

Given: $1205.00 money deposited in an account
2.5% simple interest
Asked: Find the total amount in the account after four years.
Solution: 2.5/100= 0.025
1205 x 0.025 = 30.125
1205 + 30.125 =1,235.125
1235.125 x 4 = 4,940.5
Answer: $4,940.5 the total amount in the account after four years

An aluminum can is a right cylinder. Find the amount of paper needed for the can's label and the totalamount of aluminum needed to make the can. Round to the nearest tenth.
7 cm
12 cm
The amount of paper needed for the can's label is
1 cm?
The total amount of aluminum needed to make the can is
cm?
Please help put a bunch of points for this question do

Answers

Answer:

Label: About 527.9 square centimeters

Aluminum: About 835.7 square centimeters

Step-by-step explanation:

Amount of paper needed for the label:

You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be $2\pi r h= 2 \cdot \pi \cdot 7 \cdot 12\approx 527.9$ .

Amount of aluminum needed for the can:

This time, you need to add in the top and bottom of the can as well, which each have area $\pi r^2$ . Together, they have area $2\pi r^2=2\cdot \pi \cdot 7^2\approx 307.9$ . Adding this to the area of the sides, you get a total of about 835.7 square centimeters.

Hope this helps!

All are equivalent except x<-2, x-2<4, 2x<-4, x-2<-4 ?

Answers

To figure out which is not equivalent to the others,, we must solve each option provided. x < -2 is already solved,, so there is no need to do any work that option.
The first step for solving x - 2 < 4 is to move the constant to the right side and then change its sign.
x < 4 + 2
Now add the numbers together to get your final answer.
x < 6
This means that we have one option that equals x < -2 and one option that equals x < 6.
Let's now solve 2x < -4 to see what that one equals. In order to solve this,, we need to divide both sides of the inequality by 2.
x < -2
Now we can see that it looks like all of the expressions are equivalent except for x - 2 < 4. Before we can confirm this though,, let's solve for x - 2 < -4. The first step for solving this is to move the constant to the right side and change its sign.
x < -4 + 2
Now calculate the sum of these two numbers to get your final answer.
x < -2
This tells us that all of the options are equivalent except for x - 2 < 4,, or option B.
Let me know if you have any further questions.
:)

What is the formula for finding a1 in the geometric series sn=48455, r=3.2, n=3?

Answers

The formula for finding the sum in the geometric series: $S_(n)=a_(1) * ( r^(n) -1)/(r-1)$ For finding a1: $a_(1) = ( S_(3)*(3.2-1) )/( 3.2^(3)-1 ) = (48455*2.2)/(32.768-1)= (106601)/(31.768)=3355.6094$

How do i round 186.282?

Answers

Well, first you need to decide what place you want to round it TO.

Example: Round it to the nearest hundredth:

The next larger hundredth is 186.29 .
The next smaller hundredth is 186.28 .
Now look at it.
186.282 is closer to 186.28 than it is to 186.29 .
So the nearest hundredth is 186.28 .

-- When 186.282 is rounded to the nearest hundredth, it becomes 186.28 .

Similarly . . .
-- When 186.282 is rounded to the nearest tenth, it becomes 186.3 .
-- When 186.282 is rounded to the nearest whole number, it becomes 186 .
-- When 186.282 is rounded to the nearest ten, it becomes 190 .
-- When 186.282 is rounded to the nearest hundred, it becomes 200 .
-- When 186.282 is rounded to the nearest thousand or anything larger,
it becomes zero.

I'm curious . . . where did this number come from ?

It happens to be one thousandth of the speed of light, in miles per hour.

Did it come up in science class, or did a science geek use it for
one of the problems in math ?

Okay so if you want to know how to Round all you have to remember is 4 or more add 1 more 4 or less just ignore.

If your rounding 186.282 in the tenths you would look in your tenths place and look at the number in the left. ( the number in the tenths place is 8)

So is 2 greater or lesser than 4?

its lesser.

so ignore the rest of the two numbers there ( 8 & 2)

And your answer would be 186.2

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Find zHelp me please