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3 years ago

What is i^32? A.1 B. -1 C.-i D. i

Mathematics

1 answer:

drek231 [11]3 years ago

8 0

The answer to this question "What is i^32?" is A.1

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What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8

Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8 \ ln \ x-5=15.8-5$

Simplifying, we get,

$8 \ ln \ x= 10.8$

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of $e^{1.35}$=3.85742...$ , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0

3 years ago

The ratio of boys to girls in a group is 7:1. If there are 66 more boys than girls, work out how many girls there are

nevsk [136]

Answer:11

Step-by-step explanation:

Boys : girls=7:1

Sum of ratio=7+1=8

Let them number of girls be y

Then they number of boys=y+66

Total number of pupils=y+y+66

Total number of pupils=2y+66

Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)

y=1/8 x (2y+66)

Cross multiply

y x 8=2y + 66

8y=2y + 66

Collect like terms

8y-2y=66

6y=66

Divide both sides by 6

6y/6=66/6

y=11

The number of girls is 11

4 0

3 years ago

Using 8(-20) in a real world situation

Paul [167]

Maybe, the price went down $20 eight times?

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3 years ago

The ratio of pink marbles to white marbles in samaras bag is equal to 1:5 what percent of the bag contains pink marbles

Strike441 [17]

Answer: i dont want to give the exact answer so u can actually know how to do it but i will tell u if ur right

Step-by-step explanation:

We will follow the following steps for converting a ratio into a percentage:

Step I: Obtain the ratio. Let the ratio be x : y

Step II: Convert the given ratio into the fraction x/y.

Step III: Multiply the fraction obtained in step II by 100 and put the percentage sign(%).

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3 years ago

Is y= x + 2 and y= -x + 3 perpendicular lines?

Vlad [161]

I believe y=x+2 and y=-x+3 are perpendicular lines.

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3 years ago

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