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1 year ago

Sin (5x-25) = COS (3x) X=?

Mathematics

1 answer:

Advocard [28]1 year ago

8 0

Answer:

x=23

Step-by-step explanation:

put it in desmos and was right

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Type the correct answer in each box. (____)

trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8) mm

V = 1024π mm³

Calculations:

1. Find the cubic equation

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²

1024 = x(x² - 16x + 64)

1024 = x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the <em>rational roots theorem</em>, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1 -16 64 -1024

1 0 64 0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0 x² + 64 = 0

x = 16 x² = -64

x = ±8i

There is only one real root: x = 16 mm

6 0

3 years ago

Does 12-(4x2)=(12-4)x(12-2)

Darina [25.2K]

No. Solve each of the problems and see if they match. Do PEMDAS order of operations

3 0

3 years ago

Read 2 more answers

Omar has decided to purchase an $11,000 car. He plans on putting 20% down toward the purchase, and financing the rest at 4.8% in

Solnce55 [7]

Answer:

The monthly payment is $262.95

Step-by-step explanation:

* Lets explain how to solve the problem

- Omar has decided to purchase an $11,000 car

- He plans on putting 20% down toward the purchase

* Lets find the value of the 20%

∵ The principal value is $11000

∴ the value of the 20% = 20/100 × 11000 = 2200

∴ He will put $2200 down

* Lets find the balance to be paid off on installments

∴ The balance = 11000 - 2200 = 8800

- He financing the rest at 4.8% interest rate for 3 years

* Lets find the rule of the monthly payment

∵ $pmt=\frac{\frac{r}{n}[P(1+\frac{r}{n})^{nt}]}{(1+\frac{r}{n})^{nt}-1}$ , where

- pmt is the monthly payment

- P = the investment amount

- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

- t = the time the money is invested or borrowed for

∵ P = 8800

∵ r = 4.8/100 = 0.048

∵ n = 12

∵ t = 3

∴ $pmt=\frac{\frac{0.048}{12}[8800(1+\frac{0.048}{12})^{3(12)}]}{(1+\frac{0.048}{12})^{3(12)}-1}$

∴ $pmt=\frac{0.004[8800(1.004)^{36}]}{(1.004)^{36}-1}=262.95$

* The monthly payment is $262.95

8 0

3 years ago

When we multiply and divide we ____ the negative numbers (integers)

mafiozo [28]

Answer:

I think its supliment but I took this class a long time ago so don't quote me on that

Step-by-step explanation:

7 0

3 years ago

Rewrite in simplest terms:

Margarita [4]

The answer is: 66m + 16 !! hope that helps

6 0

2 years ago