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trapecia [35]
3 years ago
7

5 points Two lines are represented by equations: 10x - 15y = 21 and y = kx + 5. What value of k will make lines perpendicular?​

Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

Answer:

Step-by-step explanation:

10x - 15y = 21

15y = 10x - 21

y = ⅔x - 7/5

slope of line is ⅔

slope of any perpendicular to line is -3/2

y = kx + k

slope of line is k

k = -3/2

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Help I forgot how to do this​
lakkis [162]

Answer:

number 5 is 11 and number 6 is 16

Step-by-step explanation:

you substitute a for 4 bc a equals 4 and than finish the equation 4+7=11

6. you substitute b for 2 and c for 8 and multiply which than is 16

4 0
3 years ago
The operations manager of a large production plant would like to estimate the mean amount of time a worker takes to assemble a n
xz_007 [3.2K]

Answer:

(15,595, 16,805)

Step-by-step explanation:

We have to:

m = 16.2, sd = 3.75, n = 150

m is the mean, sd is the standard deviation and n is the sample size.

the degree of freedom would be:

n - 1 = 150 - 1 = 149

df = 149

at 95% confidence level the t is:

alpha = 1 - 95% = 1 - 0.95 = 0.05

alpha / 2 = 0.05 / 2 = 0.025

now well for t alpha / 2 (0.025) and df (149) = t = 1,976

the margin of error = E = t * sd / (n ^ (1/2))

replacing:

E = 1,976 * 3.75 / (150 ^ (1/2))

E = 0.605

The 95% confidence interval estimate of the popilation mean is:

m - E <u <m + E

16.2 - 0.605 <u <16.2 + 0.605

15,595 <u <16,805

(15,595, 16,805)

5 0
3 years ago
Which value of x makes the equation 1.25(4x+2)=32.5
UkoKoshka [18]

Answer: x=6

Step-by-step explanation:

8 0
3 years ago
Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks
Volgvan

Answer: at most 15 pairs of socks

Step-by-step explanation:

Let the number of pair of socks of her sister be x , and let the number of pairs Lucy has be y.

Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that

\frac{1}{3}x + 4 = y    .............................. equation 1

Also ,  Lucy has at most 9 pairs of socks , this means that

y\leq 9 ....................................... equation 2

Equating the two equations , we have

\frac{1}{3}x + 4 \leq 9

multiply through by 3

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x\leq 15

Therefore , the sister has at most 15 pairs of socks

4 0
3 years ago
Is 2 a perfect square ?
wel

Answer:

yes

Step-by-step explanation:

5 0
2 years ago
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