[(4096)⁰]⁻⁴ = a)1/(4096)⁴ b)-4 c)4096 d)1

Unit 2, Lesson 12

Solnce55 [7]

Answer:

the answer for a is 2 and 2/4 which is equal to 2 and 1/2

Step-by-step explanation:

7 0

3 years ago

In which of the expressions below will x = 4? Select all that apply.

ollegr [7]

Answer:

A

Step-by-step explanation:

6x- 3x + 6=18

6(4)- 3(4) + 6=18

24-12 + 6=18

12 +6=18

18=18

5 0

3 years ago

The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate

Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}$

Volume of cone =

$V = \dfrac{1}{3}\pi r^2 h$

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})$

Putting values, we get,

$\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}$

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0

3 years ago

Giving a test to a group of students, the grades and gender are summarized below

GenaCL600 [577]

Answer:

59 / 71

Step-by-step explanation:

Given the data :

A B C Total

Male 20 10 13 43

Female 15 2 11 28

Total 35 12 24 71

The probability of randomly selecting a Student that got B ;

Probability = required outcome / Total possible outcomes

P(getting B) = number of students who got B / total number of students

P(getting B) = 12 / 71

Probability of getting B = 12 /71

Probability of not getting B = P(getting B)' = 1 - P(getting B)

Probability that student did not get "B" = 1 - 12/71 = 59 / 71

7 0

2 years ago

1. Find the distance between two

BigorU [14]

Answer:

$\mathrm{D)\:}9.4\: \mathrm{units}$

Step-by-step explanation:

Solution 1:

Notice the $x$ coordinate of both points are equal, meaning both points are on a vertical line. The distance between two points on a vertical line is the absolute difference of their y-coordinates. The absolute difference between $4.7$ and $-4.7$ is $|4.7-4.7|=\fbox{$9.4$}$ .