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2 years ago

Collect like terms 5t + 3t – 2t

Mathematics

1 answer:

poizon [28]2 years ago

7 0

Answer:

Step-by-step explanation:

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Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…

sammy [17]

The sum of the first five terms is 11/2

<h3>How to determine the sum?</h3>

The series is given as:

1/2, -1,2,-4…

Calculate the common ratio of the series using

r = -4/2

Evaluate

r = -2

The sum is then calculated as:

$S_n = a\frac{1 - r^n}{1 - r}$

This gives

$S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}$

Evaluate

$S_n = \frac{1}{2} * \frac{33)}{3}$

Evaluate

$S_n =\frac{11}{2}$

Hence, the sum of the first five terms is 11/2

Read more about series at:

brainly.com/question/11346378

#SPJ1

7 0

2 years ago

X/3 +17 less than or equal to 15

Sliva [168]

$x \leqslant - 6$

x/3+17is less than or equal to 15

x/3is less than or equal to 15-17

xis less than or equal to -6

5 0

3 years ago

Joel wants to find the best model for a bivariate data set that he is working with. He used a calculator to create a linear mode

laiz [17]

Answer:

exponential

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Geometry help! Please help with 13 through 18

olga55 [171]

If c^2 > a^2 + b^2 then the triangle is obtuse.
If c^2 < a^2 + b^2 then the triangle is acute.
If c^2 = a^2 + b^2 then the triangle is a right triangle.
13. 7^2 __ 3^2 + 6^2
49 ___ 9 + 36
49 > 47 obtuse
14. 12^2 __ 4^2 + 11^2
144 ___ 16 + 121
144 > 137 obtuse
15. 26^2 ___ 24^2 + 10^2
676 ___ 576 + 100
676 = 676 right triangle
16. 15^2 ___ 12^2 + 9^2
225 ___ 144 + 81
225 = 225 right triangle
17. 31^2 __ 30^2 + 10^2
961 ___ 900 + 100
961 < 1000 acute triangle
18. 12^2 ___ 7^2 + 7^2
144 ___ 49 + 49
144 ___ 98
144 > 98 obtuse

6 0

3 years ago

A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd scores a 55 on the test. Select the answer

Jlenok [28]

Answer:

Todd's Z-score is - 0.27

Step-by-step explanation:

Explanation:-

Step(i):-

Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.

Mean of the population 'μ' = 70

Standard deviation of the Population ' σ ' = 10

let 'x' be the random variable in normally distributed

Step(ii):-

Given raw score 'x' = 55

Todd's Z-score

$Z = \frac{x-mean}{S.D}$

$Z = \frac{55-70}{55}$

Z = -0.27

Final answer:-

Todd's Z-score is - 0.27

6 0

4 years ago