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4 years ago

What is 13,300 in scientific notation

Mathematics

1 answer:

s2008m [1.1K]4 years ago

8 0

1.33 x 10^4

scientific notation form

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Find the value of 21 + 4(32 - 5). A- 25 B- 37 C- 100

Mashutka [201]

Answer:

Explanation:

21+4(3^2−5)

= 21+4(9−5)

= 21+(4)(4)

= 21+16

= 37

Mordancy.

7 0

3 years ago

What is the cube root of 512m^12n^15

Salsk061 [2.6K]

The cube is 512 btw I’m getting free points squeeze

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3 years ago

Kenneth loaned $1,200 to his niece to buy a computer. Two years later, she paid him back the $1,200 along with an interest of $9

insens350 [35]

Answer:

The annual interest rate was 4%

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Loan to Kenneth's niece to buy a computer = US$ 1,200

Duration of the loan = 2 years

Niece paid back to Kenneth = US$ 1,296

Annual interest rate = x%

2. Let's find the annual interest rate after 2 years, using the following formula:

FV = PV * (1 + x)

PV = Loan to Kenneth's niece to buy a computer = US$ 1,200

FV = Niece paid back to Kenneth = US$ 1,296

rate (r) = x

Replacing with the real values:

1,296 = 1,200 * (1 + x)

1.296/1.200 = (1 + x) (Dividing by 1,200 at both sides)

1.08 = 1 + x

1.08 - 1 = x (Subtracting 1 at both sides)

0.08 = x

This is the interest rate for two years, for finding the annual interest rate we divide it by 2, this way:

0.08 / 2 = 0.04 * 100 = 4%

7 0

3 years ago

Hi, I am new to this website :) I'm currently taking an online trig class on De Moivre's theorem and I don't understand it at al

Vladimir [108]

De Moivre's theorem uses this general formula z = r(cos α + i sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.

For 1) [3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes

[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]

it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/√2 i
and that is the answer.

For 2) [2(cos(40))+isin(40)]^6, we apply the same steps in 1)

[2^6(cos(40*6))+isin(40*6)],

[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)

And the answer is -32 -32 √3 i

Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i

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3 years ago

What is the value of -3^2+(4+7)(2)?

OLEGan [10]

Answer:

${ - 3}^{2} + (4 + 7)(2) \\ = - 9 + 22 \\ = 13$

6 0

3 years ago