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2 years ago

Please explain! Math

Mathematics

1 answer:

Nana76 [90]2 years ago

6 0

I believe (-2,2) or (2,3)

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Z^2 - x; use x = 1, and z = 3

elena55 [62]

Answer:

Step-by-step explanation:

3^2 = 9 - 1 = 8

6 0

2 years ago

Which of the following is equivalent to log 7^ 50 rounded to three decimal places?

otez555 [7]

7^50
= 1.798 × 10^42

i am a mathematics teacher. if anything to ask please pm me

4 0

3 years ago

Jim's father bought a new car 3 years ago for

Alexus [3.1K]

30% of 50,400 = 30240.

Therefore the percentage loss is 30% over the course of 3 years.

4 0

2 years ago

HELP!!!!!!!!! I’m almost done

balandron [24]

Alright, we're in the home stretch here :) All you need to remember is that i² = -1. Otherwise, it is the same as FOIL

(3-2i)(1+7i)

3-2i+21i-14i² ← Replace the i² with -1, then simplify like numbers

3+19i+14

17+19i or C

8 0

3 years ago

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

$v=\frac{1}{3}\pi r^2 h$

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

<em>We select the positiv value.</em>

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

4 0

3 years ago

Please explain! Math​

Please explain! Math