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3 years ago

What is the standard form of the equation of the circle with center (-2, -3) and a radius of √2/4?

1 answer:

7 0

Centre of circle = (-2, -3)

Equation of the circle:

( x - ( -2) )² + ( y - (-3) )² = (√2/4)²

(x + 2)² + (y + 3)² = 1/8 (Answer D)

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THIS IS URGENT I NEED HELP ASAP.(9x 10^-3)^2

joja [24]

(9x 10^-3)^2= $\frac{81x^{2}}{1000000}$ , so d 8.1x10^-6

Evaluate 1/2a^-4b^2 for a =-2 and b=4

$\frac{1}{2} (-2)^{-4} *4^{2}\\\\\frac{1}{2} *\frac{1}{(-2)^{4}} *4^{2}\\\\\frac{1}{2} *\frac{1}{2^{4}}*4^{2}\\\\\frac{1}{2} *\frac{1}{16}*4^{2}\\\\\frac{1}{2} *\frac{1}{16}*16=\frac{1}{2}$

A number raised to a negative exponent is sometimes negative.

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)

- Cutiepatutie ☺❀❤

8 0

3 years ago

PLEASE ANSWER FAST

Lina20 [59]

The square root of 16 is 4

7 0

3 years ago

Read 2 more answers

How to write3.repeating 7 as a mixed number

ki77a [65]

Hey there! I'm happy to help!

Let's call our fraction x.

x=3.777......

We want to get rid of the repeating stuff. If we multiply our fraction by 10, we get 10x=37.7777.

We see that if we subtract x from 10x, the repeating numbers will be cancelled out. Let's do this.

10x=37.7777

x=3.77777

9x=34

We divide both sides by 9.

x=34/9=3 7/9.

Have a wonderful day! :D

6 0

3 years ago

The histogram below shows information about the number of hamburgers students ate in a month:

vovikov84 [41]

The answer is

D. The number of students who ate 10 hamburgers or more

100% Verified!

Hope This Helps!:)

6 0

4 years ago

The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

a) The preset value equation is given by this formula:

$P=\int^{T}_{0}f(t)e^{-rt}dt$

where:

T is the period in years (T = 10 years)
r is the annual interest rate (r=0.08)

So we have:

$P=\int^{T}_{0}(0.01t+100)e^{-rt}dt$

Now we just need to solve this integral.

$P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt$

$P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}$

$P=0.30+688.34=688.64 $$

The present value is 688.64 $

b) The accumulated amount of money flow formula is:

$A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt$

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

$A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P$

$A=e^{0.08\cdot 10}688.64=1532.60 $$

The accumulated amount is 1532.60 $

Have a nice day!

6 0

3 years ago