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2 years ago

22. I = Prt; P What do I first? It says to solve the equation for the given variable.

1 answer:

3 0

the first thing you need to do is

divide the whole equation by rt as shown below

$\frac{i}{rt} = \frac{prt}{rt}$

then you cancel out. leaving

$\frac{i}{rt} = p$

which is the same as

$p = \frac{i}{rt}$

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Simplify the expression 5+6i/4+6i A) 56-6i/-20 B) -16-6i/-20 C)56-6i/52 D) -16-6i/52

IRISSAK [1]

Answer:

$The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

$= \frac{5 + 6i}{4 + 6i}$

Now rationalize the expression.

$= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}$

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

$= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}$

$= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}$

As i² = -1

$= \frac{20-30i+24i+36}{16 + 36}$

$= \frac{56-6i}{52}$

$Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

8 0

2 years ago

Read 2 more answers

If cos theta is less than 0 and cot theta is greater than 0, then the terminal point determined by theta is in:

Keith_Richards [23]

There exist an abbreviation that ALL - S - T - C where all trigonometric functions in first quandrant are positive. S, T, and C are the first letters of the trigonometric functions that are positive in quadrant 2, 3, and 4, respectively. This also means that in the same quadrant, their reciprocals are also positive. For the given above, it is in Quadrant 3 where T is positive and cosine is negative.

5 0

2 years ago

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What’s 7843 divided by 3

solmaris [256]

Answer:

2614.33333333

Step-by-step explanation:

6 0

3 years ago

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Trever Goetz is a salesperson who is paid a monthly salary of $500 plus a 2% commission on sales. How much must he sell to earn

dedylja [7]

Whatever% of anything is just (whatever/100) * anything.

now, we know Trever makes $500 in salary and 2% on sales, let's say he sells "x" amount, how much is 2% of x? well (2/100) * x, or 0.02x.

Therefore Trever's earnings are 500 + 0.02x, his salary plus his commission.

to earn a total of 2,000, then 500 + 0.02x = 2000, thus

$\bf 500+0.02x=2000\implies 0.02x=1500\implies x=\cfrac{1500}{0.02}\\\\\\ x=75000$

4 0

3 years ago

HELP NEEDED, GIVING BRAINLIEST!

Nataly_w [17]

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Step-by-step explanation:

Given

Dilation: D : (x,y) => (4x,4y)

And Vertices

A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 )

Applying dilation on all vertices

$A ( 2, 1 ) => A'(4*2, 4*1) => A'(8,4)\\B ( 4, 1 ) = > B' (4*4 ,4*1) = > B'(16,4)\\C(4,-3) => C' (4*4 , 4*-3) => C'(16, -12)$

To find the scale factor,

As we are multiplying each vertex coordinate by 4, the dilation factor is 4.

Moreover,

$\frac{A'}{A} = \frac{(8,4)}{(2,1)} = (4,4)$

Hence the scale factor is 4.

So,

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Keywords: Dilation, Scale factor

Learn more about dilation at:

#LearnwithBrainly

4 0

3 years ago