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torisob [31]
3 years ago
7

How does hardware differ from software?A line is defined by the equation y = two-thirds x minus 6. The line passes through a poi

nt whose y-coordinate is 0. What is the x-
Mathematics
1 answer:
Rudik [331]3 years ago
8 0

Answer:

x=9

Step-by-step explanation:

y =  \frac{2}{3}x  - 6

y-coordinate is 0

0 =  \frac{2}{3} x - 6

solve for x

x=9

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A tunnel is in the shape of a parabola. The maximum height is 31 m and it is 13 m wide at the base as shown below.
yan [13]
Using the given values from the problem and the illustration, three points are known which are (0,0), (6.5,-31), (-6.5,-31). The first step in solving this problem is to determine the equation of the parabola.
y = ax²
-31 = a(6.5)²
-31 = 42.25a 
a = -31/42.25 
a = -124/169 

Therefore, the equation of the parabola is y = (-124/169)x². The value 4.5 is then substituted in the equation as x to get the answer which is 16.14 meters.
6 0
3 years ago
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 40% chan
azamat

Answer:

There are a 25% probability that Christine fails the course.

Step-by-step explanation:

We have these following probabilities:

A 50% probability that Christine finds a tutor.

With a tutor, she has a 10% probability of failling.

A 50% probability that Christine does not find a tutor.

Without a tutor, she has a 40% probability of failing.

Probability that she fails:

10% of 50%(fail with a tutor) plus 40% of 50%(fail without a tutor). So

P = 0.1*0.5 + 0.4*0.5 = 0.25

There are a 25% probability that Christine fails the course.

6 0
3 years ago
Kenny has 8 red shirts, 12 blue shirts, and 10 white shirts in his closet. What is the probability that he would get a white shi
antiseptic1488 [7]

Answer:

1/3 or 33.33 %

Step-by-step explanation:

this is because there is 30 shirts and all and 10 white. 10/30 is 1/3, or 33.33%

8 0
3 years ago
Read 2 more answers
Find the number of two-letter permutations of the letters.<br><br> Q, I, E, R, T, Y, U
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A sword is Saskatchewan. Mdkdodn idioms has nsito day you can come to sleep early tomorrow and you yo me
5 0
3 years ago
Add the numbers from 1 to 100 by following the same steps you used in 1.
oksano4ka [1.4K]
Summaation of a sequence

or see a smaller scale
from 1 to 10
notice
1+10=11
2+9=11
etc
5+6=11
10/2=5
there are 5 pairs
5*11=55

so

1 to 100
1+100=101
2+99=101
...
50+51=101

100/2=50
there ar 50 pairs
50 times 101=5050

the sum is 5050
3 0
3 years ago
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