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LekaFEV [45]
3 years ago
10

The least common factor of 8 and 56, 12 and 30, 16 and 24, and 9 and 15

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

The lcf of 8 and 56 is 2, the lcf of 12 and 30 is 2, the lcf of 16 and 24 is 2, and the lcf of 9 and 15 is 3.

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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
A cell phone towerbcast a shadow that is 40 feet long . An 10- foot- tall stop sign located near the tower casts a shadow that i
Likurg_2 [28]

Using proportions, considering the relation between the height and the shadow, it is found that the cell phone tower is 50 feet.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

When the shadow is of 8 feet, the height is of 10 feet. What is the height when the shadow is of 40 feet? The<em> rule of three</em> is:

8 feet - 10 feet

40 feet - h feet

Applying cross multiplication:

8h = 10 x 40

Simplifying by 8:

h = 10 x 5 = 50 feet.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0
2 years ago
Will mark Brainliest!!!!!!!!
olasank [31]
F(x)=25x+100To find the second month substitute x with 2. f(2)=25(2)+100month 2= $150 Do the same for month ten but substitute x with 10 this time.f(10)=25(10)+100month 10= 350 The average rate of change is $25.
4 0
3 years ago
At what rate is the temperature decreasing?
Murljashka [212]

Answer:

8 celcius

Step-by-step explanation:

The slope is -8 so it is decreasing by 8

5 0
2 years ago
Read 2 more answers
Find the angle to the nearest degree. *<br> sin-10.5166<br> 1<br> 31.1°<br> 58.9°<br> 0.5°
Mice21 [21]

Given:

The given inverse trigonometric term is:

\sin^{-1}(0.5166)

To find:

The value given inverse trigonometric term.

Solution:

We have,

\sin^{-1}(0.5166)

Using the calculator, we get

\sin^{-1}(0.5166)=31.10446

\sin^{-1}(0.5166)\approx 31.1^{\circ}

The value of given term is 31.1°.

Therefore, the correct option is B.

6 0
3 years ago
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