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mihalych1998 [28]
3 years ago
13

Evaluate 8j - k+14 when j=0.25 and k=1

Mathematics
2 answers:
Mars2501 [29]3 years ago
8 0

Answer:

(8)(0.25)−1+14

=15

Step-by-step explanation:

Naddik [55]3 years ago
4 0
8(0.25)-1+14
2-1+14
1+14
15
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18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
Ksenya-84 [330]

a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28%20-%203%29%20%7B%7D%5E%7B2%7D%20.%28%20-%203%29%20%20%7B%7D%5E%7B2%7D%20" id="TexFormula1"
liq [111]
The answer is 81. since (-3)^2 is 9. Therefore, 9x9=81.
4 0
3 years ago
How do I solve this
tatiyna
I cant see the problem
8 0
3 years ago
Multiply.<br> Your answer should be a monomial in standard form.<br> (-9n^3)(n^3)
ratelena [41]

Answer:

-9n^6

Step-by-step explanation:

(−9n^3)(n^3)

=(−9) * n^3 * n^3

=−9 * n^6

=−9n^6

5 0
3 years ago
A seventh-grade teacher asks her students a survey question. Which questions are appropriate for the teacher to ask her
zzz [600]

Answer:

How many hours of sleep do you get per night?

On average, how long does it take you to complete your homework?

What time do you leave for school in the morning?

Step-by-step explanation:

5 0
3 years ago
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