What is ? + 38 = 60

Answers

Answer 1
Answer: 60 - 38 = 22  because 38 + 22 = 60
Answer 2
Answer: OKay 

All you have to do it 60-38 

the answer minus the 2 dominator 

so 60-38=22

22 would be your answer 

to make sure its right 22+38=60 



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Find the absolute value of the complex number -3 - 6i.a.
6.07
c.
6.7
b.
6.17
d.
6.71


Please select the best answe

Answers

Answer: 6.71


Explanation:


1) The absolute value of a complex number a + bi is √ [ (a)² + (b)²]

2) The given number - 3 - 6i is equivalent to (-3) + (-6)i, so you see that a = -3 and b = - 6.

3) Therefore, the absolute value is √ [ (-3)² + (-6)² ] = √ [ 9 + 36] = √(45) ≈ 6.708 ≈ 6.71

A una granja llegaron 54 ovejas 24 vacas 30 cerdos los cuales se quieren repartir en corrales con igual numero de animales de forma que haya la mayor cantidad posible en cada corral ¿cuantos animales posibles deben ir en cada uno de los corrales?

Answers

Answer: 6 animals should go in each pen.

Step-by-step explanation:

Total sheep = 54

Total cows = 24

Total pigs = 30

Highest number of animals are possible in each pen such that animals are distributed in pens with the same number = Greatest common divisior (54,24, 30)

54= 6 x 9

24= 6 x 4

30 = 6 x 5

So, Greatest common divisior (54,24, 30) = 6

Hence, 6 animals should go in each pen.

Six more than three times a number is less than or equal to 96.

Answers

3x+6≤96 
three x plus six is less than or equal to 96.

Given f(x) = 3x + 2 andg(x) = -2x - 4, find h(x) = f(x) - g(x).

Answers

Answer:

h(x) = 5x+6

Step-by-step explanation:

h(x) = f(x) - g(x)

h(x) = 3x+2 - (-2x-4)

h(x) = 3x+2 + 2x+4

h(x) = 5x+6

All we need to do is plug in the equations for f(x) and g(x) into h(x)

Let's do it

f(x) = 3x + 2 and g(x) = -2x -4

h(x) = f(x) - g(x)

h(x) = (3x + 2) - (-2x - 4)

Combine like terms

(3x) - (-2x) →     3x + 2x      → 5x

(+2) - (-4) →      2 + 4     → 6

Let's put them together

h(x) = 5x + 6

Hope I helped ! :)

Help please! absolute value equations! ​

Answers

Answer:

n = -1                       n = -7

Step-by-step explanation:

5| 2n+8| +3 = 33

Subtract 3 from each side

5| 2n+8| +3-3 = 33-3

5| 2n+8| = 30

Divide by 5

5/5| 2n+8| = 30/5

| 2n+8| = 6

An absolute value equation has two solutions, one positive and one negative

2n+8 = 6              2n+8 = -6

Subtract 8 from each side

2n+8-8=6-8          2n+8-8 = -6-8

2n = -2                    2n = -14

Divide by 2

2n/2 = -2/2            2n/2 = -14/2

n = -1                       n = -7

Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously. Approximately how many years will it take to reach a balance of $500?

Answers

Answer:

The time taken to reach the balance is approximately 13 years.                

Step-by-step explanation:

Given : Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously.

To find : How many years will it take to reach a balance of $500?

Solution :

The formula of compounded continuously is

A=Pe^(rt)

Where, A is the amount A=$500

P is the principal P=$350

r is the interest rate r=2.8%=0.028

t is the time in year.

Substitute the values in the formula,

500=350* e^(0.028* t)

(500)/(350)=e^(0.028* t)

1.42=e^(0.028* t)

Taking log both side,

\ln 1.42=0.028* t

0.356=0.028* t

t=(0.356)/(0.028)

t=12.71

The time taken to reach the balance is approximately 13 years.

You use the formula
A= Pe^rt for continuously compounded interest.
500=350e^(.028*t)
Divide both sides by 350
(10/7)=e^(.028t)
Take the natural log of both sides to clear the e.
Ln (10/7)=.028t
Divide both sides by .028
Ln (10/7)/.028 =t
12.75 years