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3 years ago

What is the expanded form of the series represented below?

Mathematics

2 answers:

kirill [66]3 years ago

5 0

Answer:

See below

Step.-by-step explanation:

Choice A has first term -3 and common difference 5. The formula for the kth term is -3 + (k - 1)5. It is an arithmetic series.

The required expanded form for the Sum is:

S5 = ∑ [-3 + (k - )5)]

k = 1

natka813 [3]3 years ago

3 0

Answer:

Expanded form of the series is:

A. -3 + 2 + 7 + 12 + 17

Step-by-step explanation:

when k=1 -3+(k-1)5= -3

when k=2 -3+(k-1)5= -3+5=2

when k=3 -3+(k-1)5= -3+10=7

when k=4 -3+(k-1)5= -3+15=12

when k=5 -3+(k-1)5= -3+20=17

Hence, value of $S_{5}= -3+2+7+12+17$

Hence, expanded form of the series is:

A. -3 + 2 + 7 + 12 + 17

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Express 81 as the sum of first nine consecutive odd numbers

matrenka [14]

Answer:

see explanation

Step-by-step explanation:

The sum of the first 9 consecutive odd numbers is

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81

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3 years ago

A researcher was studying how the weights of horseshoe crabs along the East Coast vary between northern and southern habitats. I

Ronch [10]

Answer:

Option D (the weight of crab) would be the correct choice.

Step-by-step explanation:

In mathematics, the sum being analyzed depending on a variety of parameters, which have been calculated as explanatory variables, has become a response variable.
It is analogous with the utilization of the definition of variables of the study. A variable with an order to respond is categorized as either a dependent variable.

Some other preferences are not connected with the sustaining. So choice D is the right one.

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3 years ago

Solve for q. a=qb+r What is q equal to? q=a−r−b q=a−r/b q=a/b −r q=a/rb

Mademuasel [1]

The given equation is $a=qb+r$

We need to solve the equation for q.

Value of q:

The value of q can be determined by solving the equation $a=qb+r$ for q.

Thus, subtracting both sides of the equation by r, we get;

$a-r=qb$

Now, dividing both sides of the equation by b, we have;

$\frac{a-r}{b}=\frac{qb}{b}$

Simplifying the terms, we get;

$\frac{a-r}{b}=q$

Therefore, the value of q is $q=\frac{a-r}{b}$

Hence, Option B is the correct answer.

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3 years ago

A kintted pot holder is shaped like a circle. It's radius is 4.5 in. What is the area?

lesya [120]

Answer:

A =63.585 in^2

Step-by-step explanation:

The area of a circle is found by

A = pi r^2

A = pi (4.5)^2

A = pi(20.25)

We can approximate pi by 3.14

A = (3.14) (20.25)

A =63.585 in^2

8 0

3 years ago

Read 2 more answers

An official NHL hockey puck is shaped like a cylinder with a diameter of 3 inches and a volume of 7.1 cubic inches. What is the

Dima020 [189]

H=1in

You would need to use the equation V= pie times radius squared times height. Since it gives you the diameter, you would need to divide 3 by 2 to get 1.5. So now you would plug in 7.1=pie×1.5(squared)×h

Now solve the equation to get 1in.

And you can check this answer by using this same equation to plug in pi×1.5 (squared)×1 and you will get 7.1 as your volume.

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3 years ago