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Anettt [7]
2 years ago
12

What is ∑n=15[5(−2)n−1] equal to?

Mathematics
1 answer:
kicyunya [14]2 years ago
6 0

Answer:

Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.

Anyway, there is neat formula that will deal with question very quickly. It is the following:

Sn is the sum of the geometric series

a1 is the first term in the series

r is the common ratio

n is the number of terms in the finite geometric series

Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.

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Professor Lam is grading papers in the teachers' lounge. He has already finished grading 6 assignments, and is grading 4 more as
Delvig [45]

Answer:

Step-by-step explanation: If Professor Lam grades 4 papers per hour, in 11 hours he will graded 44 papers. (11 x 4= 44). He had previously graded 6 papers giving him a total of 50 papers graded. His assistant can grade 5 papers per hour, thus it would take him 10 hours to grade the same amount of papers as Professor Lam. (10 x 5= 50) Thus: 11 hours Professor Lam 50 papers graded; 10 hours his assistant 50 papers graded.

3 0
3 years ago
Determine if the two lines with the given slope are parallel, perpendicular, or neither. Circle your
Sati [7]

Answer:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

Step-by-step explanation:

Given

m₁ = 3/2

m₂ = -3/2

We know that when two lines are parallel, they have equal slopes

But

m₁ ≠ m₂

3/2 ≠ -3/2

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × -3/2

              = -9/4

              = -2.25

As

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

8 0
2 years ago
Ryan is making small meat loaves. Each small meat loaf uses 3/4 pound of meat. How much meat does Ryan need to make 8 small meat
taurus [48]
Ryan will need 6 pounds of meatloaf. If you want to know how I got my answer, my work along with the answer will be shown below:

3/4 pound=1 small meatloaf

*Multiply 3/4 pound by 8 because he wants to make 8 small meat loaves, or just add 3/4+3/4+3/4+3/4+3/4+3/4+3/4+3/4*.

#1 way (recommended): 3/4*8/1=24/4....=6 pounds
#2 way: 3/4+3/4=6/4+3/4=9/4+3/4=12/4+3/4=15/4+3/4=18/4+3/4=21/4+3/4=24/4=6 pounds

I hope this helps! Let me know if you still need help!


3 0
3 years ago
Four gallons of paint cost $49.44. Which equation can be used to find c, the cost per gallon?
natulia [17]
<span>Four gallons of paint cost $49.44. <span>Which equation can be used to find c, the cost per gallon?
c=$49.44/4
c= $12.36 per gallon</span></span>
5 0
3 years ago
If you flip three fair coins, what is the probability that you’ll get all three heads?
Sladkaya [172]

Answer:

3/6

Step-by-step explanation:

no idea if its right

5 0
3 years ago
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