MATHEMATICS MIDDLE SCHOOL

What is the value of 5^3i^9
-125i
-15i
15i
125i

Answers

Answer 1
Answer:

Good morning ☕️

______

Answer:

125i

___________________

Step-by-step explanation:

5³× i⁹ = 125 × i¹ = 125i

By the way :

i⁹ = (i⁴)²× i¹ = (1)²×i = i.

:)
Answer 2
Answer:

Answer:

125i

Step-by-step explanation:

When we have potential expression that include imaginary numbers, we have to consider some basic results, because these imaginary potential expression are cyclical.

We know that:

i=√(-1)

So, elevating both members to a third power, we have:

i^(3)=(√(-1) )^(3)=\sqrt{(-1)^(3) }=√(-1)=i

So, i^(3)=i, which is the beginning, that's why we say that it's like a cycle.

So, from the problem, we have:

5^(3) i^(9)

To solve this, we consider the operations from the beginning:

5^(3)=125; and

i^(9)=(i^(3))^(3)=(i)^(3)=i; because i^(3)=i

Therefore, the result would be 125i

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Which is equivalent to sin-1(–0.4)? Round your answer to the nearest hundredth of a radian.

Is 25/40 proportional to 15/24

Answers

Cross Multiply. 25 * 24 and 40 * 15
Yes, they are proportional
YES THEY ARE YOU JUST CROSS MULTIPLY THEM DIAGNAL AND THEN MAYBE DIVIDED IT BOTH THEN THERE ARE PROPORTIONAL.

Jorge planted flowers in his garden. He planted one row of 12 tulips and one row of 36 daisies. What is the ratio of tulips to daisies that Jorge planted? Express the ratio as a fraction and as a decimal.

Answers

The ratio would be 1:3
Fraction: 1/3
Decimal: 1/3
Percentage: 33%

Which expression is equivalent to 8x + 12y? A) 20xy B) xy + 20 C) 4xy(2 + 3) D) 4(2x + 3y)

Answers

Answer:

D is the answer

Step-by-step explanation:

4*2 is equal to 8 so it would be 8x 4*3y is equal to 12y
Use Photomath it will tell you the answer

What is 600% as a decimal and a fraction?

Answers

decimal 6.00 (6,00)

fraction 600/100

600% would be equal to

600/100 in the fraction form

6.00 in the decimal form

the width of a rectangle is 12 cm less than the length the perimeter is 156 cm. Find the with and length

Answers

We know that the perimeter of a rectangle is twice the length, plus twice the width.  

P = 2L + 2W  

We also know that the perimeter is 156.  

P = 156  

Finally, we know that the width is 12 less than the length.  

W = L - 12.  

The next thing that we do is substitute the information that we have into the original equation:  

P = 2L + 2W  

156 = 2L + 2(L - 12)  

From this point we start to solve  

156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis  

156 + 24 = 2L + 2L - 24 + 24  

180 = 2L + 2L <--- getting like terms on same sides  

180 = 4L <---combining like terms  

180/4 = 4L/4 <--- getting like terms on same sides  

45 = L <---now we have a value for L  

Now we take the known value for L and substitute it in to our equation for W  

W = L - 12  

W = 45 - 12  

W = 33  

So now we have Length = 45 and Width = 33.

w = l - 12

156 = 2l + 2w

Since we have a value of w, we can plug that into the variable w to find the exact value of l.

156 = 2l + 2(l - 12)

Distributive property.

156 = 2l + 2l - 24

Combine like terms.

156 = 4l - 24

Add 24 to both sides.

180 = 4l

Divide both sides by 4.

l = 45

Now that we have the exact value of l, we can find the exact value of w.

w = l - 12

w = 45 - 12

w = 33

We now know the width is equal to 33 cm, and the length is equal to 45 cm. (This is your answer.)

We can verify by plugging these values into the second equation.

156 = 2l + 2w

156 = 2(45) + 2(33)

156 = 90 + 66

156 = 156 √ this is correct.

-8n+4(1+5n)=-6n - 14 What is the value of n?

Answers

-8n+4(1+5n)=-6n-14\ \ \ \ \ \ \ |simplify\n\n-8n+4+20n=-6n-14\ \ \ \ \ \ |combine\ like\ terms\n\n-8n+20n+6n=-14-4\ \ \ \ \ \ |simplify\n\n18n=-18\ \ \ \ \ |:18\n\nn=-1
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