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3 years ago

Plz help. N+ 4/3=1/3 what's a fact family just the N don't give a fraction

Mathematics

2 answers:

Ymorist [56]3 years ago

4 0

I believe the answer is n=-1

lesantik [10]3 years ago

3 0

I believe the answer is N = -1

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Need please help with the answer

Sladkaya [172]

Step-by-step explanation:

the volume of a rotating solid out of an xy area in a certain interval is pi times the integral of that area squared (because we are emulating adding the volumes of cylinder slices) in that interval along the given axis.

if that area is defined as the difference between 2 curves, then that difference (of the squares) has to be integrated.

the "outer" curve is y = x² + 3 = R, because it has always the larger y values compared to y = 2x + 1 = r.

the volume of an outer cylinder slice is

pi × R² × dx

and of an internal cylinder slice is

pi × r² × dx

therefore, the volume of the difference "washer" cylinder is

pi×R²×dx - pi×r²×dx = pi×(R² - r²)×dx

and now integrating the infinitely thin washers across the interval [0, 2].

R² = (x²+3)² = x⁴ +6x² + 9

r² = (2x+1)² = 4x² + 4x + 1

R² - r² = x⁴ + 2x² - 4x + 8

the integral of (R² - r²)dx :

1/5 x⁵ + 2/3 x³ - 4/2 x² + 8x = 1/5 x⁵ + 2/3 x³ - 2x² + 8x

in the interval of [0, 2] that gives us

1/5 2⁵ + 2/3 2³ - 2×2² + 8×2 - 0 = 32/5 + 16/3 - 8 + 16 =

= 32/5 + 16/3 + 8 = 96/15 + 80/15 + 120/15 = 296/15

and as final step multiplying this by pi :

296pi/15 = 61.99409503... units³ ≈ 62 units³

3 0

2 years ago

Olga buys a 5-year increasing annuity for X. Olga will receive 2 at the end of the first month, 4 at the end of the second month

kati45 [8]

Answer:

Nominal interest rate is = 9% converible quaterly

we need to find monthy effective interest rate

0.09

i = 0.00744 or 0.75% approximately

i can also be taken as = 0.09/12

now PV of annuity will be the market price i.e x

6 60 *2 ---------------------a

Multiply equation by \frac{1}{1+i} both sides

6 60 2 PV ---------------b

Subtract equation b from a

60 2 PV (1 1+i (1+2)1 (1+2)2 (1+2)3 (1+2)60 (1+961

60 2 PV( 1 +i

on putting i = 0.00744

PV = 2733.88 approximately

X = 2733.88

Step-by-step explanation:

8 0

3 years ago

Eli claims that the product of and is . Which explains whether Eli is correct?

Shalnov [3]

Answer: last option.

Step-by-step explanation:

According to the Product of powers property, you have:

$a^n*a^m=a^{(n+m)}$

As you can see, when you can add the exponents when you have powers with equal base.

Then, $6^5$ and $5^{-3}$ do not have the same base, therefore, the exponents can't be added.

Therefore, Eli is incorrect, because he added the exponents even though the bases are not the same.

6 0

4 years ago

15) If a curve intersects x -axis at (2,0) and (-2,0) then zeroes of a polynomial are

deff fn [24]

Answer:

$2\ and\ -2$

Step-by-step explanation:

If a polynomial intersects the x-axis at (2,0) and (-2,0)

Then the zeroes are at x=2 and x=-2

(Outside of the question)

To find factors using the zeroes, we must have one side of the equation equal to zero.

x=2

x-2=0

factor (x-2)

x=-2

x+2=0

factor (x+2)

5 0

3 years ago

What is the reason for step 3 of this proof

azamat

What is the question?

What is step 3?

5 0

4 years ago