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2 years ago

Which of the following numbers belong to the set of complex numbers AND The set of imaginary numbers? Select all that apply.

1 answer:

7 0

<span>To be both complex and imaginary, the answer would have to include "i" as well as have the form "a + bi". The first example, 3i - 5, fits. This would look to be the only example that does fit. The negative square root of 14 would be imaginary, but not complex.</span>

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The length of the top of a computer desk is 2 1/4 feet longer than it’s width. If it’s width measures y feet, express its length

Lera25 [3.4K]

Answer:

The length as an algebraic expression in y is $y + (2\frac{1}{4} )$ ft

Step-by-step explanation:

The measure of the width of the computer desk = y feet

The measure of the length of the desk = width + 2 1/4 ft

⇒Measure of Length = $y + (2\frac{1}{4} )$ ft

Hence, the length as an algebraic expression in y is $y + (2\frac{1}{4} )$ ft

5 0

3 years ago

Engineers want to design passenger seats in commercial aircraft so that they are wide enough to fit 95 percent of adult men. Ass

zimovet [89]

Answer:

$z=1.64$

And if we solve for a we got

$a=14.4 +1.64*1.1=16.204$

The 95th percentile of the hip breadth of adult men is 16.2 inches.

Step-by-step explanation:

Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:

$X \sim N(14.4,1.1)$

Where $\mu=14.4$ and $\sigma=1.1$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.05$ (a)

$P(X$ (b)

We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64

Using this value we can set up the following equation:

$P(X$

$P(z$

And we have:

$z=1.64$

And if we solve for a we got

$a=14.4 +1.64*1.1=16.204$

The 95th percentile of the hip breadth of adult men is 16.2 inches.

8 0

2 years ago

given the functions f(x)=4x^2-1, g(x)=x^2-8x+5, and h(x)=-3x^2-12x +1, rank them from least to greatest based on their axis of s

Lesechka [4]

The formula for axis of symmetry is -b/2a.

For f(x):
0/2(4)
0/8
Axis of symmetry= 0

For g(x)
-(-8)/2(1)
8/2
Axis of symmetry= 4

For h(x)
-(-12)/2(-3)
12/-6
Axis of symmetry= -2

Order from least to greatest: -2, 0, 4

Final answer: h(x), f(x), g(x)

7 0

2 years ago

Help please !! thank you!

lisov135 [29]

Answer:

Step-by-step explanation:

if you put ur mouse on -2 then move to the right 1.5 you will get .5

Hope this Helps!!!

7 0

3 years ago

Read 2 more answers

Why does the fact family for 81 and 9 have only two number sentences

qwelly [4]

Because there are only two things you can do with these two " family" members. 81 divided by 9 is 9. 9 times 9 is 81. Strictly speaking, there should be three in the family: 9,9 and 81 9 is the square root of 81. 81 is the 9 squared.

8 0

2 years ago