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3 years ago

What is the product of 4^4(4^-7)(4)? A. 1/-16 B. 1/-8 C. 1/16 D. 1/8

Mathematics

1 answer:

DIA [1.3K]3 years ago

8 0

Answer:

Step-by-step explanation:

i used a calculator multiple times :)

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Write the complex number in the form a + bi.

bonufazy [111]

Answer:

$\frac{3}{2}$ + $\frac{3\sqrt{3} }{2}$ i

Step-by-step explanation:

Using the exact value

cos60° = $\frac{1}{2}$ and sin60° = $\frac{\sqrt{3} }{2}$ , then

3(cos60° + isin60°)

= 3( $\frac{1}{2}$ + $\frac{\sqrt{3} }{2}$ i) ← distribute by 3

= $\frac{3}{2}$ + $\frac{3\sqrt{3} }{2}$ i ← in the form a + bi

7 0

3 years ago

The hypotenuse of a right triangle is 34 inches. One leg of the triangle is 14 inches less than the other leg. In simplified for

Karolina [17]

You can use the equation

${(x + 14)}^{2} + {x}^{2} = {34}^{2}$
to find the lenth of the legs

x = leg 1
x + 14 = leg 2

6 0

3 years ago

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Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f

pashok25 [27]

Answer:

0.999987

Step-by-step explanation:

Given that

The user is a legitimate one = E₁

The user is a fraudulent one = E₂

The same user originates calls from two metropolitan areas = A

Use Bay's Theorem to solve the problem

P(E₁) = 0.0131% = 0.000131

P(E₂) = 1 - P(E₁) = 0.999869

P(A/E₁) = 3% = 0.03

P(A/E₂) = 30% = 0.3

Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :

$P(E_2/A)=\frac{P(E_2)\times P(A/E_2)}{P(E_1)\times P(A/E_1)+P(E_2)\times P(A/E_2)}$

$=\frac{(0.999869)(0.3)}{(0.000131)(0.03)+(0.999869)(0.3)}$

$\frac{0.2999607}{0.00000393+0.2999607}$

$\frac{0.2999607}{0.29996463}$

= 0.999986898 ≈ 0.999987

6 0

3 years ago

Graph y=(x+2)^2-3 <br> Show Vertex

nikklg [1K]

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
y=(x+2)^2-3\implies y=\stackrel{a}{1}[x-\stackrel{h}{(-2)}]^2\stackrel{k}{-3}\quad 
\begin{cases}
h=-2\\
k=-3
\end{cases}$

3 0

3 years ago

the width of a rectangle is 5 inches and the height is 10 inches what is the perimeter of the shaded rectangle

andrew-mc [135]

So, you should add the heighth twice and add the width twice too, then add those two together to get your answer.

7 0

3 years ago

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