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3 years ago

Find the quotient and express it in the simplest form

Mathematics

1 answer:

pychu [463]3 years ago

5 0

2i(4+5i)(4-5i) =82i
4+i nothing more can be done it is at simplest form

so $\frac{82i}{4+i}$ = $\frac{82}{17} + \frac{328}{17} i$

so your answer is $\frac{82}{17} + \frac{328}{17} i$

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a mailing tube in the shape of cylinder has a height of 24 inches and a radius of 3 inches. what is the volume, in cubic inches,

TiliK225 [7]

ANSWER

The volume of the mailing tube is 678.6 square inches to the nearest tenth.

EXPLANATION

The volume of a cylinder is calculated using the formula;

$V=\pi \: {r}^{2} h$

Since the mailing tube is in the form of a cylinder, we use this formula to find its volume.

We substitute h=24 and r=3 to obtain,

$V=\pi \times {3}^{2} \times 24$

$V=216\pi {in}^{2}$

$V=678.6{in}^{2}$

8 0

3 years ago

There are fifteen teams in a high school baseball league. How many different orders of finish are possible for the first four p

ankoles [38]

There are 32,760 different orders for the first four positions.

This is a permutation where repetition is not allowed; the formula for that is:

$_nP_r=\frac{n!}{(n-r)!}$

For our problem, we have:
$_{15}P_4=\frac{15!}{(15-4)!}=\frac{15!}{11!}=32760$

3 0

3 years ago

Help me as soon as possible PLEASE HELP

disa [49]

Answer:

QRT = 47, TRS = 133

Step-by-step explanation:

Since QRS is a line, QRT + TRS = 180.

$QRT+TRS=180\\3x+5+10x-7=180\\$

Then, solve for x. Combine like terms.

$13x-2=180\\13x=182\\x=14$

Then, plug in 14 for x.

$1. (3*14+5)\\\\QRT = 47\\\\2. (10*14-7)\\\\TRS = 133$

7 0

3 years ago

Which equation represents the circle described? (in picture)

Sedaia [141]

You are right. In circle equation we have =r² so the correct answer will be C od D. But we have to calculate the center of a circle.

$x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24$

Complete the square:

$x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2$

And we have:

$(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}$

So the answer is C (the same left side of equation).

6 0

3 years ago

Which function is graphed?

Gennadij [26K]

Answer:

x-intercept=(-1,0) y-intercept =(0,-3)

Step-by-step explanation:

6 0

3 years ago