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kirill115 [55]
3 years ago
5

Find the indicated sum. Select your choice and click Submit to check your answer.

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer:

S_4=50

Step-by-step explanation:

Sum Of Arithmetic Sequence

Given an arithmetic sequence

a_1,\ a_1+r,\ a_1+2r,....,\ a_1+(n-1)r

The sum of the n first terms is

\displaystyle S_n=\frac{(a_1+a_n)n}{2}

Or equivalently

\displaystyle S_n=\frac{[2a_1+(n-1)r]n}{2}

The given sequence is

5, 8, 11 ...

We can see the common difference between terms is r=3

We are asked to find the sum of the terms 2 to 5, it means that

a_1=8, n=4, r=3

\displaystyle S_4=\frac{[2(8)+(4-1)3]4}{2}

\displaystyle S_4=\frac{100}{2}

\boxed{S_4=50}

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Calculate f(x) for the given domain values.
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

1. The given function is

f(x) =  - 3x

The domain values are: x=0, 2, -1, 4, -2

When x=0

f(0) =  - 3 \times 0 = 0

When x=2,

f(x) =  - 3 \times 2 =  - 6

When x=-1

f(x) =  - 3 \times  - 1  = 3

When x=4

f(4) =  - 3 \times 4 =  - 12

When x=-2

f( - 2) =  - 3 \times  - 2 = 6

2. The given function is

f(x) =  \frac{1}{3} x

When x=3,

f(3) =  \frac{1}{3}  \times 3 = 1

Similarly,

f( - 3) =  \frac{1}{3}  \times  - 3 =  - 1

f(300) =  \frac{1}{3}  \times 300 = 100

f( - 180) =  \frac{1}{3}  \times  - 180 =  - 60

f(99) =  \frac{1}{3}  \times 99 = 33

8 0
3 years ago
The 32 students in Ms.Byrd's art class made a project with construction paper. Eleven students used red construction paper, 8 st
Mice21 [21]

Answer: The correct answer is C. 13/32

Step-by-step explanation: There are 32 students, and 11 + 8 = 19. SO in order to figure out how many students used blue, we need to subtract 19 from 32. that gives us 13. So:

13 out of 32 students, or

13/32

5 0
3 years ago
Mischa wrote the quadratic equation 0 = –x2 + 4x – 7 in standard form. What is the value of c in her equation
Zolol [24]

Mischa wrote the quadratic equation 0 = –x2 + 4x – 7 in standard form

The standard form of quadratic equation is

y= ax^2 + bx + c

When y=0 then the standard equation becomes

0= ax^2 + bx + c

Now we compare the given equation 0 = -x^2 + 4x - 7  with 0= ax^2 + bx + c and find the value of a, b,c

-x^2 can be written as -1x^2

0= ax^2 + bx + c

0 = -1x^2 + 4x - 7

a= -1 , b=4  and c=-7

The value of c is -7

4 0
3 years ago
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An angle measures 62° less than the measure of its complementary angle. What is the measure of each angle? (i need two answers p
postnew [5]

Answer:

28° 62°

Step-by-step explanation:

Hope this helps :)

8 0
3 years ago
Is 0.07 equal to 0.007
Ilya [14]

Answer:

<    No

Step-by-step explanation:

5 0
3 years ago
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