How do yuh evaluate the expression
Log 4096
4

Answers

Answer 1

Answer: $log_(4)(4096)$

$4096=4^(6)$

let's replace it

$log_(4)(4^6)$

Them

$log_4(4^6)=6log_(4)(4)$

$log_4(4)=1$

$\boxed{\boxed{log_4(4096)=6}}$

Answer 2

Answer: $log_44096=x\n \n 4^x=4096\n \n 4^x=4^6\n \n \boxed{x=6}$

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The area of a rectangular park is 3/5 square mile. the length of the park is 7/8 mile. what is the width of the parkshow your work

remember that Area=Length +Width

Answers

Width of a rectangular park is equal to $\boldsymbol{(24)/(35)}$ mile.

Area of a rectangle

Area of a rectangle $=$ Length $*$ Width

Area of a rectangular park $=(3)/(5)$ square mile

Length of a rectangular park $=(7)/(8)$ mile

$(3)/(5)=(7)/(8)*$ Width of a rectangular park

So,

Width of a rectangular park $=(3)/(5)* (8)/(7)$

$=\boldsymbol{(24)/(35)}$

Find out more information about rectangle here:

brainly.com/question/15019502?referrer=searchResults

A = L * W

3/5 = 7/8 * W

divide both sides by 7/8

W = 24/35 of 0.6857

David rowed a boat upstream for three miles and then returned to point he started from. The entire journey took four hours. The speed of the stream is one mile per hour. Find David's speed in still water. (Hint: speed = distance ÷ time, upstream speed = speed of the boat – speed of the stream, and downstream speed = speed of the boat + speed of the stream) David's speed in still water is ____ miles per hour.

Answers

To solve for the time it takes to travel a certain distance at a certain speed, use the formula,
time = distance / speed

Given that the entire journey takes four hours, add up the time it takes David to row upstream with that of him travelling downstream. This is mathematically represented as,

total time = time upstream + time downstream

4 = 3/(x - 1) + 3/(x +1)

Solving for x in the equation gives 2. Thus, David's speed in still water is 2 miles per hour.

Find the probability of each event. Answer IN FRACTION form.A jar contains eight black buttons and five brown buttons. If eight buttons are picked at random, what is the probability that all of them are black?

Answers

Answer:

= 8/6435

Step-by-step explanation:

Number of black balls = 8

Number of Brown balls = 5

Total number of balls = 8+5 = 13

Pr (8 balls picked at random are black ) =

Number of black balls / Total number of balls.

1st Pr ( 8 balls picked are black) = 8/13

Pr (2nd random pick) = 7/12

Pr (3rd random pick) = 6/ 11

Pr (4th random pick) = 5/10

Pr (5th random pick) = 4/9

Pr (6th random pick) = 3/7

Pr (7th random pick) = 2/6

Pr (8th random pick) = 1/5

Pr (8 balls picked at random are black ) = 8/13 * 7/12 * 6/11 * 5/10 * 4/9 * 3/7 * 2/6 * 1/5

= 8/13 * 7/12 * 6/11 * 1/2 * 4/9 * 3/7 * 1/3 * 1/5

= 8/6435

But pls note, I solved it such that there wasn't a replacement after each pick.

Math is fun

Solve mathematics problem in photo please! Second

Answers

Hello,

8+h>2+3h
==>-2h>2-8
==>-2h>-6
==>h<3

Answer C

Checking daughter's homework and need help! Miguel ordered a party try of sandwiches for a birthday party. During the party, the quests left 2/5 of the sandwiches. The next day, Miguel shared the leftover sandwiches with his family who ate 7/11 of the remaining sandwiches. Which fraction represents the portion of the entire tray Miguel's family ate?

Answers

Well, somehow the guests at 13/55th's more sandwiches that were present. Did you type the fractions correctly?

Answer:

penguins

Step-by-step explanation:

A spinner with 8 equally sized slices is shown below. The dial is spun and stops on a slice at random. What are the odds in favor of landing on a black slice?