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posledela
3 years ago
12

I didn’t find equation in point slope form for the line parallel To y=1/2x-7 that passes through (-3,-2)

Mathematics
1 answer:
amid [387]3 years ago
7 0

Answer:

y +2 = (1/2)(x +3)

Step-by-step explanation:

It is helpful to know that the point-slope form of the equation with slope m through point (h, k) is ...

... y -k = m(x -h)

You have a line with a slope of 1/2. The parallel line will also have a slope of 1/2, so m = 1/2. The point you want on your line is (-3, -2), so (h, k) = (-3, -2). Putting these values into the point-slope form gives you ...

... y -(-2) = (1/2)(x -(-3))

Simplifying this gives ...

... y +2 = (1/2)(x +3)

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How much would $500 invested at 6% interest compounded monthly be worth after 5 years? round your answer to the nearest cent.
Lady bird [3.3K]
Use this formula: A = P(1 + r/n)^nt, where A is the amount after interest (what you are solving for), P is the amount you invested originally, r is the rate at which it was invested in decimal form, n is the number of times the compounding occurs each year, t is the time in years it is invested. It would look like this: A = 500(1 + [.06/12])^12*5.  Do inside the parenthesis first to get 1 + .005 = 1.005.  Now raise that to the 60th power (12 times 5 is 60) to get 1.34558. Now multiply that by the 500 out front to get a total amount of $674.43
8 0
3 years ago
Read 2 more answers
In a recent​ study, volunteers who had 8 hours of sleep were three times more likely to answer questions correctly on a math tes
Shalnov [3]

Answer:

Step-by-step explanation:

Sleep Deprivation

In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer correctly on a math test than were sleep-deprived participants.

(a) Identify the sample used in the study.

(b) What is the sample's population?

(c) Which part of the study represents the descriptive branch of statitics?

(d) Make an inference based on the results of the study?

Solution

A. The samples used is the hours of sleep and math test scores of the volunteers

B. The samples population is hours of sleep and math test scores of people in general

C. The part of the study that represent the descriptive branch of statistics is "three times more likely"

D.Inference: To perform well in a math test, a person should get at least 8 hours of sleep the night before.

3 0
4 years ago
A picture is mounted on a frame measuring 25 centimeters by
makvit [3.9K]

Answer:

I think it's 1,125 and 4485

Step-by-step explanation:

25x13x3

115x13x3

3 0
3 years ago
How many sides do 2 nonagons and 3 decagons have in all?
SVETLANKA909090 [29]

Answer:

48 sides

Step-by-step explanation:

A nonagon has 9 sides

A decagon has 10 sides

10 + 10 + 10 = 30

9+9 = 18

30 + 18 = 48

48 sides in total

Give brainliest please!
Hope this helps :)

8 0
2 years ago
A box contains four $1 and six $5 bills. if three bills are selected at random without replacement, find the probability that al
myrzilka [38]

Answer:

C.1/6

Step-by-step explanation:

Initially the box has four $1 and six $5 bills. The probability of selecting a $5 bill in the first trial would be given as;

(number of $5 bills) / (total number of bills)

= (6)/(4+6) = 3/5

If in the first attempt we actually pick a $5 bill, the number of $5 bills will reduce by one to 5. Now, the probability of picking a $5 bill in the second attempt will be given as;

(new number of $5 bills) / (new total number of bills)

= (5)/(4+5) = 5/9

The new number of $5 bills will now be; 6 - 2 = 4 since we have already picked 2 without replacing them.

Now, the probability of picking a $5 bill in the third attempt will be given as;

(new number of $5 bills) / (new total number of bills)

= (4)/(4+4) = 1/2

Since the three attempts are independent, the probability of picking  all three $5 bills is;

3/5 * 5/9 * 1/2 = 1/6

7 0
3 years ago
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