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wlad13 [49]
3 years ago
8

Point T is on line segment SU. Given ST = 4x – 4, TU = 4x – 10, and

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
7 0
The answer to your question is 26. Hope that helps.

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Greta must volunteer 225 hours for a community service project. She plans to volunteer for 6 hours
klemol [59]

Answer:

A. "an arithmetic sequence with a common difference (d) of -6."

B. 33 hours

C. a_n=a_1+(n-1)d

D. See below

Step-by-step explanation:

A.

Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.

B.

The formula for term of arithmetic sequence is:

a_n=a_1+d(n-1)

Wher a_1 is the first term and d is the common difference. Since we want to find after 33 weeks, we plug in 33 into n:

a_{33}=225 + (-6)(33-1)\\a_{33}=33

She will have left 33 hours

C.

We will use the arithmetic sequence term formula written above, that is:

a_n=a_1+(n-1)d

THis gives us the amount of hours left after a certain number of weeks.

D.

We plug in 40 into n and find the hours left:

a_{40}=225+(40-1)(-6)\\a_{40}=225-234\\a_{40}=-9

THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.

6 0
3 years ago
Rosa Roberto Andrea and innocent find an estimate for square root of 10
AysviL [449]
The square root of 10 is 3.1 but to estimate it find the square root of 9 which is 3
5 0
3 years ago
Two different factories both produce a certain automobile part. The probability that a component from the first factory is defec
Ulleksa [173]

Answer:

a. 55.56%

b. 44.44%

c. 3.33%

d. 33.33%

Step-by-step explanation:

total supply =  180

a. In the first factory the total number obtained = 100

probability that the chosen part is from the first

= 100/180

= 0.5556

= 55.56%

b. In the second factory total = 80

probability that the chosen part is from the second

= 80/180

= 0.4444

= 44.44%

c. probability that part chosen at random from 180 is defective

= 2% * 0.5556 + 5% * 0.4444

= 0.02*0.5556 + 0.05*0.4444

=  0.011112 + 0.0222

= 0.03331

= 3.33%

d. probability it came rom the first factory if it is defective

\frac{0.02*0.5556}{0.02*0.5556+0.05*0.4444}

= \frac{0.011112}{0.011112+0.0222}

= \frac{0.011112}{0.033312}

= 0.33357

= 33.33%

5 0
3 years ago
Suppose you can buy a box of 10 shirts for $42. How much is each shirt?
Fofino [41]

Answer:

each shirt is $4.20

Step-by-step explanation:

42/10 = 4.2

4 0
3 years ago
Read 2 more answers
Final grades are often computed using weighted averages. For example, Fran's teacher uses the following: homework 10%, quizzes 2
STALIN [3.7K]

The final grade of fran can be calculated by multiplying the corresponding percentage of his average homework, quizzes and tests, then sum it up and it is now the final grade of fran.

Final grade = (0.10 x 92) + ( 0.20 x 68) + (0.70 x 81)

<span>Final grade = 79.5 </span>

8 0
3 years ago
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