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3 years ago

What are the first 5 terms of 30-n^2

Mathematics

1 answer:

sleet_krkn [62]3 years ago

6 0

Answer:

29, 26, 21, 14, 5

Step-by-step explanation:

To find the first 5 terms, substitute n = 1, 2, 3, 4, 5 into the n th term formula.

30 - 1² = 30 - 1 = 29

30 - 2² = 30 - 4 = 26

30 - 3² = 30 - 9 = 21

30 - 4² = 30 - 16 = 14

30 - 5² = 30 - 25 = 5

The first 5 terms are 29, 26, 21, 14, 5

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A farm processes 6,000 gallons of milk every hour. Which equation represents the amount of milk, y, that the farm processes in x

Free_Kalibri [48]

Answer:

Step-by-step explanation:

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3 years ago

Help

alisha [4.7K]

Answer:

a. $x^{2} + 3y^{3}$

b. $3y^{3} -6$

c. $5x -3$

d. -6t - 5

Step-by-step explanation:

When a number has the same variable as another, you can add or subtract them

So for the first one, you can do

$5x^{2} -4x^{2} = 1x^{2} = x^{2}$

(But don't forget the $3y^{3}$ !)

So it is:

$x^{2} + 3y^{3}$

Continue this process for the rest of them

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2 years ago

Find the quotient of these Complex Numbers. <br><br><br> (5-i) / (3+2i)

JulsSmile [24]

Let the given complex number

z = x + ix = $\dfrac{5-i}{3+2i}$

We have to find the standard form of complex number.

Solution:

∴ x + iy = $\dfrac{5-i}{3+2i}$

Rationalising numerator part of complex number, we get

x + iy = $\dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}$

⇒ x + iy = $\dfrac{(5-i)(3-2i)}{3^2-(2i)^2}$

Using the algebraic identity:

(a + b)(a - b) = $a^{2}$ - $b^{2}$

⇒ x + iy = $\dfrac{15-10i-3i+2i^2}{9-4i^2}$

⇒ x + iy = $\dfrac{15-13i+2(-1)}{9-4(-1)}$ [ ∵ $i^{2} =-1$ ]

⇒ x + iy = $\dfrac{15-2-13i}{9+4}$

⇒ x + iy = $\dfrac{13-13i}{13}$

⇒ x + iy = $\dfrac{13(1-i)}{13}$

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

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3 years ago

8-1/3x=16 how do I do it correctly

DanielleElmas [232]

First you want to change the fraction into a decimal on this one the decimal is going to be .3333 now your problem looks like 8-.3333x=16 now subtract the 8 and you get -.3333x=16 now divide by -.3333 and you get -48

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3 years ago

What is the factored form of the expression. <br> 4n^2 + 24n + 36

skad [1K]

Answer:

(2n+6)^2

Step-by-step explanation:

To solve this, you can use the given formula: x^2 + 2xy + y^2

In this case, 4n^2 is x^2, 24n is 2xy, and 36 is y^2. The next step is:

(2n)^2 + 2(2n)(6) + (6)^2

Since this equation fits into this formula ( x^2 + 2xy + y^2), we can do:

(2n+6)(2n+6) =

(2n+6)^2

Hence, the answer is (2n+6)^2

6 0

3 years ago