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Eddi Din [679]
3 years ago
9

The first problem please

Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0
3x^2 + 5x + 25
3 (3)^2 + 5(3) + 25
3 (9) + 5(3) + 25
27+ 15 +25
67
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(50 points to answer 3 questions)
snow_tiger [21]

Answer:

y = −55x + 275

The initial value is 5

Mike's distance from home when he begins cycling

Step-by-step explanation:

The equation of a line is

y= mx+b where m is the slope and b is the y intercept

The y intercept is 275

Two points are (0,275) and (5,0)

The slope is (y2-y1)/(x2-x1) = (0-275)/(5-0) = -275/5 =-55

y = -55x+275

The initial value is when x = 0

When x = 0 , y = 5

y = 12-2x

Rewriting

y = -2x+12

This is in the form y = mx +b where the slope is -2 and the y intercept is 12

12 is the initial value or when x = 0.  It would be the distance that he needs to cover.  He needs to go from the library to his house.

5 0
3 years ago
Suppose that replacement times for washing machines are normally distributed with a mean of 9.3 years and a standard deviation o
Ad libitum [116K]
The probability will be found as follows:
z-score is given by:
z=(x-μ)/σ
where:
mean-μ=9.3
standard deviation-σ=1.1 
but
σ/√n=1.1/√70=0.1315
thus the z-score will be:
z=(9.1-9.3)/0.1315
z=-1.5209
thus:
P(x<9.1)=P(z<-1.5209)=0.0643
7 0
3 years ago
Sarah belongs to a gym and health spa that is conveniently located between her home and her job. It is one of the nicer gyms in
Vera_Pavlovna [14]

Answer:

1) She would save money if she paid per-visit. She would only pay %72 of what she pays monthly

2) She goes to the gym %43 of the days of the year

3) If she goes every day to the gym, she would spend $150 per month if she paid per-visit, that is %67 more than the $90 monthly fee

Step-by-step explanation:

1) She goes to the gym 3 times per week, so she goes 3*4.3 = 12.9 times per month. Thus, if she were to pay only $5 per day instead of a monthly membership, she would spend 5*12.9 = $64.5 per month.

Therefore, she would save money if she paid on a per visit basis, by using a rule of three, we can conclude that she would spend only 64.5*100/90 = %72 of her monthly $90 fee.

2) If she goes 3 times per week, she is going 3 days out of 7, thus, she is going 3*100/7 = %43  days of the year.

3) If a month has 30 days, then she would spend 30*5 = $150 if she paid per-visit and she went to the gym every day. That is $60 more than the $90 she spends for her monthly membership, in other words, it is 60*100/90 = %67 more than the %90 monthly rate.

5 0
4 years ago
Please help with algebra, due soon. Worth good amount of points. I'll give thanks and brainliest too.
sleet_krkn [62]
Use s o c r a t I c m a t h p a p a
5 0
3 years ago
Read 2 more answers
The diagonals of kite KITE intersect at point P. If m A. 34°<br> B. 46°<br> C. 68°<br> D. 92°
JulijaS [17]

Answer:

The diagonal of kite intersect at the point p is C. 68°

7 0
3 years ago
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