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2 years ago

Write the equation in standard form for the circle with center (-5,8) and radius 4

Mathematics

2 answers:

Anon25 [30]2 years ago

8 0

Answer:

(x+5)^2+(y-8)^2=4^2

Step-by-step explanation:

I used a website called desmos.

Scilla [17]2 years ago

8 0

Answer:

(x + 5)² + (y - 8)² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 5, 8 ) and r = 4 , then

(x - (- 5) )² + (y - 8)² = 4² , that is

(x + 5)² + (y - 8)² = 16

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Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:

Amiraneli [1.4K]

Answer:

See below

Step-by-step explanation:

Given:

Investment P = $20000
Time t = 7 years
Interest rate r = 5.5% = 0.055

a. compounded semiannually, n = 2

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88$

b. compounded quarterly, n = 4

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30$

c. compounded monthly, n = 12

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44$

d. compounded continuously

$A = Pe^{rt}=20000*e^{0.055*7}=29392.29$

5 0

2 years ago

Read 2 more answers

If f(x) = 2x + 3 and g(x) = x^2 + 1,find f(g(3)). A.) 23 B.) 47 C.) 82 D.) 90

marta [7]

The answer is A). 23.
g(x)= 2x + 3 
g(x) = x^2 + 1 
g(3) = 10 
f(g(3)) 
= f(10) 
= 23

6 0

3 years ago

12-1 one step equations

morpeh [17]

Answer:

1) n=-3

2)n=10

3)n=-2

4)n=18

5)n=4

6)n=-15

7)n=14

8)n=-6

9)n=24

10)n=10

5 0

2 years ago

One way to increase acceleration is by

Hunter-Best [27]

Answer:

I believe its D , to increase the acceleration of a object you have to increase the force preferably ,the mass kind of slows it down because of the weight .

But d is the most legit answer so :p

hoped I helped -

Sleepy~

5 0

2 years ago

a slitter assembly contains 48 blades five blades are selected at random and evaluated each day for sharpness if any dull blade

son4ous [18]

Answer:

P(at least 1 dull blade)=0.7068

Step-by-step explanation:

I hope this helps.

This is what it's called dependent event probability, with the added condition that at least 1 out of 5 blades picked is dull, because from your selection of 5, you only need one defective to decide on replacing all.

So if you look at this from another perspective, you have only one event that makes it so you don't change the blades: that 5 out 5 blades picked are sharp. You also know that the probability of changing the blades plus the probability of not changing them is equal to 100%, because that involves all the events possible.

P(at least 1 dull blade out of 5)+Probability(no dull blades out of 5)=1

P(at least 1 dull blade)=1-P(no dull blades)

But the event of picking one blade is dependent of the previous picking, meaning there is no chance of picking the same blade twice.

So you have 38/48 on getting a sharp one on your first pick, then 37/47 (since you remove 1 sharp from the possibilities, and 1 from the whole lot), and so on.

Also since are consecutive events, you need to multiply the events.

The probability that the assembly is replaced the first day is:

P(at least 1 dull blade)=1-P(no dull blades)

$P(at least 1 dull blade)=1-(\frac{38}{48}* \frac{37}{47} *\frac{36}{46}*\frac{35}{45}*\frac{34}{44})$

$P(at least 1 dull blade)=1-0.2931$

P(at least 1 dull blade)=0.7068

5 0

3 years ago