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3 years ago

Find the explicit rule for arithmetic sequence 13, 23, 33, 43

2 answers:

5 0

Answer: i forgot what the sequence is called but it is that sequence where you where subtract the first two numbers so for example if you subtract 13 from 23 you would get ten then you go to the next set of numbers so then you would subtract 33 from 43 and get 10..

Step-by-step explanation:

23-13=10, 43-33=10, 53-43=10, 63-53=10 and so on

so this sequence is having you find the common difference

hope this helps

LuckyWell [14K]3 years ago

4 0

Answer:

Add 10 to get the next term

Step-by-step explanation:

13 + 10 = 23

23 + 10 = 33

33 + 10 = 43

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3 years ago

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If an item cost 4.56 how much change will you receive from 10.00 bill

Vika [28.1K]

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3 years ago

What is the product?

FinnZ [79.3K]

Hey there!

In order to solve this problem, you'll look at (x⁴)(3x³ – 2) first. You need to multiply 4x by both numbers in the binomial to get the distributed version that you'll use later on.

(x⁴)(3x³) = 3x⁷
(x⁴)(–2) = –2x⁴

Now, your problem is (3x⁷ – 2x⁴)(4x² <span>+ 5x). You will complete the distributing by multiplying the first term of the first binomial by both terms of the second binomial, then repeating this with the second term. You'll then want to add or subtract any repeated terms to combine them, if applicable. Remember that to multiply exponents together, all you need to do is add the numbers. x is the same as x</span>¹.<span>

</span>(3x⁷)(4x²) = 12x⁹
(3x⁷)(5x) = 15x⁸
(–2x⁴)(4x²) = –8x⁶
(–2x⁴)(5x) = –10x⁵

So, your final expanded product will be (12x⁹ + 15x⁸ – 8x⁶ – 10x⁵). Your answer should be letter A. Hope this helped you out! :-)

7 0

3 years ago

Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to determine whether your conjectur

iren2701 [21]

Answer:

8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240

Hence proved Conjecture is correct

L.H.S=R.H.S

Step-by-step explanation:

Consider the pattern:

8(5)=10(5-1)=40

8(5) + 8(25) = 10(25 - 1) =240

8(5) + 8(25) + 8(125) = 10(125 - 1) =1240

8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1)=6240

According to inductive reasoning next term of pattern will become:

8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240

Checking whether conjecture is correct or not:

Consider L.H.S:

8(5) + 8(25) + 8(125) + 8(625) +8(3125)

40+200+1000+5000+25000

31240

R.H.S:

31240

Hence proved Conjecture is correct

L.H.S=R.H.S

7 0

3 years ago

A company makes spherical tanks that store chemicals. Their standard model has a diameter of 6 meters, but a customer needs a la

Deffense [45]

Answer:

The approximate diameter of the larger tank is 8.10 meters

Step-by-step explanation:

Here, we want to calculate the diameter of the larger tank

The volume of a sphere

V = 4/3 * π * r^3

Let us calculate the volume of the standard model

That will be;

Since diameter is 6 and r = d/2

r = 6/2 = 3 meters

V = 4/3 * π * 3^3 = 36 π m^3

Now, the volume of the larger tank is 2.5 times of this;

The volume of the larger tank is 2.5 * 36 π = 90 π m^3

So we can calculate the radius of this before we calculate its diameter

4/3 * π * r^3 = 90 π

4r^3/3 = 90

r^3 = 270/4

r^3 = 67.5

r = 3x√(67.5)

r = 4.07 m

Diameter here is 2 times this

= 4.07 * 2 = 8.14

6 0

3 years ago