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2 years ago

What is the sum of the first 10 terms of the geometric series below?

1 answer:

3 0

This is what I got:

It was being multiplied by 2.

1,2,4,8,16,32,64,128 (got harder :P)

128*2=256

then

256*2=512.

But, don't be tricked, it asks for the SUM of all 10 terms.

Added together, 1023.

Thus, C, is your answer.

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Find the indefinite integral. (use c for the constant of integration.) sin3 5θ cos 5θ dθ

Elina [12.6K]

I'm guessing you mean

$\displaystyle\int\sin^35\theta\cos5\theta\,\mathrm d\theta$

Let $t=5\sin\theta$ . Then $\mathrm dt=5\cos5\theta\,\mathrm d\theta$ . So we have

$\displaystyle\int\sin^35\theta\cos5\theta\,\mathrm d\theta=\frac15\int\sin^35\theta(5\cos5\theta)\,\mathrm d\theta$

$=\displaystyle\frac15\int t^3\,\mathrm dt$

$=\dfrac{t^4}{20}+C$

$=\dfrac{\sin^4\5\theta}{20}+C$

7 0

3 years ago

A pizza parlor offers 10 toppings. How many 3-topping pizzas could they put on their menu? Assume double toppings are not allowe

andreev551 [17]

Using combination and permutation we found out that there are 30240 ways to make varieties of pizza with 3 toppings.

Given 10 toppings

10C3 =10!/3! 7! =120

10P5 =10!/5! =30240 ways

A permutation is a process of placing objects or numbers in order. Combining is the ability to select an object or number from a group of objects or collections such that the order of the objects does not matter.

In mathematics, a combination is the selection of elements from a set with different members, so the order of selection does not matter.

The process or state of binding. Some combination: A combination of ideas. Combined: A chord is a combination of notes. Alliance of Individuals or Parties: Combinations to restrict transactions.

Learn more about combination here: brainly.com/question/11732255

#SPJ4

8 0

1 year ago

Determine the volume of the square pyramid below h-4 b1-6 b2-6 144 square units 36 square units 72 cubic units 48 cubic units

bagirrra123 [75]

Answer:

V = 48 cubic units

Step-by-step explanation:

$V=b^{2} \frac{h}{3}$ Use this equation to find the volume

$V=6^{2} \frac{4}{3}$ Simplify the exponent

$V=36(\frac{4}{3})$ Multiply

V = 48 cubic units

If this answer is correct, please make me Brainliest!

4 0

3 years ago

Slove the equation of 6n-12=n+3

Makovka662 [10]

¤ 6n-12=n+3
¤ 6n-n=12+3
¤ 5n=15
¤ n=15÷5
¤ n=3

8 0

3 years ago

Can somebody please help with this?

sertanlavr [38]

(3, 62)

Since that second equation is equal to y, you can substitute the entire thing into the top equation, getting rid of the y and solving for x. It equals 3.

You can then plug 3 in for x on either equation, which should be 62.

6 0

3 years ago