1089 141° Next Question Check Answer

crimeas [40]

Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5

That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n

The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.

Note: The variable n can be any integer.

7 0

3 years ago

Which shows the expression below simplified? 0.00048 - (3.4 × 10-5) A. 4.46 × 10-4 B. 3.39952 × 10-5 C. 4.46 × 10-5 D. 1.4 × 10-

MakcuM [25]

Option C

The simplified form of given expression is $4.46 \times 10^{-4}$

Solution:

Given that we have to simplify the expression shown below

$0.00048 - (3.4 \times 10^{-5})$

Let us first convert 0.00048 to scientific notation

Steps to follow:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

$0.00048 = 4.8 \times 10^{-4}$

So the given expression becomes,

$\rightarrow 4.8 \times 10^{-4} - 3.4 \times 10^{-5}$

Let us make the exponent of second term as -4

$\rightarrow 4.8 \times 10^{-4} - 0.34 \times 10^{-4}$

Take $10^{-4}$ as common term,

$\rightarrow 10^{-4} (4.8 - 0.34)$

$\rightarrow 4.46 \times 10^{-4}$

Thus option C is correct

7 0

3 years ago

Find the solution for x if |5x – 2| = 13.

Licemer1 [7]

Answer:

x=1 if that's 15 x

Step-by-step explanation:

4 0

3 years ago

accounting theories are the foundation for understanding your company's financial direction and developing strategies for long t

scoray [572]

Accounting theories give an idea of how to do it, how to follow it and the corresponding methodology, therefore the owner of a company must recognize these accounting theories to comply within the company.

We have the following accounting theories:

Comparable: It must be presented in a way, which may be compared thoroughly. Such as sales increased by way of 10% from the closing yr.

Relevant: Accounting information ought to be relevant; such as contemporary yr’s records with relevant facts have to be presented in economic report.

Consistent: Methods applied in accounting ought to be consistent; assume immediately line technique of charging depreciation is accompanied since last 5 years. If such technique is converting heavily, like instantly-line for this year and double declining technique inside the coming yr, then the system isn't regular and it doesn’t indicate smooth accounting.

Reliable: There should be reliability; such as coins bills are supported by way of respective vouchers of coins disbursements.

8 0

3 years ago

Write the number represented by the base ten blocks

jekas [21]

Is there supposed to be a picture attached? Or is it asking simply what number "base 10 blocks" represents. If so, the answer would be 10. Not sure if that's what the question is asking though! Hope this helps :)

8 0

3 years ago