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2 years ago

Rewrite the following expression 9(6+7n)

Mathematics

1 answer:

labwork [276]2 years ago

6 0

Answer:

63n + 54

Step-by-step explanation:

9(6+7n)

First you have to multiply 6 and 9 which gives you 54. Then you’ll have to multiply 7n and 9 which equals to 63n. Whenever you see expressions like that, make sure to multiply both numbers inside the parentheses by what’s outside the parentheses. (Well, that method is mainly done like that if there’s one number outside the parentheses—like the expression you’ve provided.)

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Find [5(cos 330 degrees + I sin 330 degrees)]^3

earnstyle [38]

Given a complex number in the form:
$z= \rho [\cos \theta + i \sin \theta]$
The nth-power of this number, $z^n$ , can be calculated as follows:

- the modulus of $z^n$ is equal to the nth-power of the modulus of z, while the angle of $z^n$ is equal to n multiplied the angle of z, so:
$z^n = \rho^n [\cos n\theta + i \sin n\theta ]$
In our case, n=3, so $z^3$ is equal to
$z^3 = \rho^3 [\cos 3 \theta + i \sin 3 \theta ] = (5^3) [\cos (3 \cdot 330^{\circ}) + i \sin (3 \cdot 330^{\circ}) ]$ (1)
And since
$3 \cdot 330^{\circ} = 990^{\circ} = 2\pi +270^{\circ}$
and both sine and cosine are periodic in $2 \pi$ , (1) becomes
$z^3 = 125 [\cos 270^{\circ} + i \sin 270^{\circ} ]$

6 0

4 years ago

Use the situation below to complete the table and answer the questions,

Amiraneli [1.4K]

Answer:

t = 13

Step-by-step explanation:

3 months ------ 4500

6 months ------ x

3/6 = 4500/x

cross multiplation:

3x =27000

x = 9000,or we should have just doubled the wages, since the time doubled

3 months ------ 4500

5 months ------ y

3/5 = 4500/y

3y = 22500

y = 7500

3 months ------- 4500

t months -------- 19500

3/t = 4500/19500 = 3/13

3t = 39

t = 13

5 0

3 years ago

Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!

Sladkaya [172]

Order of Operation is the step by step procedure that you should follow when solving muti-step equations. Its usally abbreviated as:

P arathesis

Example: 2(5+4)

E xponents

Example: 4^8

M utiply

Example: 5x

D ivide

21/3

A dd

Example: 4+9

S ubtract

Example: 78-21

4 0

3 years ago

Read 2 more answers

What is the least common denominator of 9,8,6,5

Alex

Answer:

Step-by-step explanation:

LCD = 1

Equivalent Fractions with the LCD

9 = 9/1

8 = 8/1

6 = 6/1

5 = 5/1

Solution:

Rewriting input as fractions if necessary:

9/1, 8/1, 6/1, 5/1

For the denominators (1, 1, 1, 1) the least common multiple (LCM) is 1.

LCM(1, 1, 1, 1)

Therefore, the least common denominator (LCD) is 1.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

9 = 9/1 × 1/1 = 9/1

8 = 8/1 × 1/1 = 8/1

6 = 6/1 × 1/1 = 6/1

5 = 5/1 × 1/1 = 5/1

4 0

4 years ago

Whitney needed to earn $400 to buy a ticket to a concert. If she earns $15 an hour babysitting, how many hours does she need to

MrMuchimi

Answer:

Shes needs to work 26.67 hours

Step-by-step explanation:

In order to find the amount of time she needs to work, we need to divide the total by the rate that she earns money at. She needs a total of $400 and she gets 15 every hour.

400/15=26.67

Shes needs to work 26.67 hours

4 0

3 years ago