Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so that ∫uyly∫uzlz∫uxlxdxdzdy

1) x = pounds of peaches purchased
2) y = total price for the peaches
3) the formula is: y = $2x

but I'm not clear on what you need to know...

Mel descends 50-35=15 feet in 5-2=3 seconds. Thus, her descent rate is 15/3=5 ft/sec.
Victor descends 60-50=10 feet in 4-1=3 seconds. Hence, his descent rate is 10/3=3⅓ ft/sec. Mel is faster, traveling at 5 ft/sec.

Answer:

a.

b.

c.

d.

Step-by-step explanation:

There are four desktop computers and two laptops.

On a specific day, we will set up 2 of these computers.

To find:

a. What is the probability that both selected computers are laptops?

b. What is the probability that both computers are desktops?

c. What is the probability that at least one computer is a desktop?

d. What is the probability that at least one of each type of computer is included?

Solution:

Using the probability formula for event E:

a. The number of successful outcomes for both computers being laptops = = 1

Total possible outcomes = 15

The needed probability is .

b. The successful outcomes for both being desktop computers =

Total possible outcomes = 15

The required probability is .

c. For at least one desktop:

Two scenarios exist:

1. 1 desktop and 1 laptop:

Successful outcomes =

2. Both are desktops:

Successful outcomes =

Total successful outcomes = 8 + 6 = 14

The needed probability is .

d. 1 desktop and 1 laptop:

Successful outcomes =

Total outcomes = 15

The required probability is .

Response:

a)

b) From t increasing from 3 to 6, v changes from 18 gallons to 12 gallons.

Detailed explanation:

The relationship between the tank’s volume and time is given by:

Where V(0) indicates the starting volume and a denotes the hourly decrease.

a. Create a formula for v in terms of t.

The tank starts with 24 gallons of water, hence

It drains steadily at 2 gallons each hour, therefore

Then

b. When t progresses from 3 to 6, v changes from _________ to _________

So as t progresses from 3 to 6, v shifts from 18 gallons to 12 gallons.

Hello! There are three sentences in this problem that we need to complete with the appropriate values. Let's begin with the first sentence. SENTENCE #1 The initial number of visits to the website was ____. Before inserting numbers, I want to ensure you understand the word 'initial.' It refers to the very first value in something. Therefore, this sentence is asking for the first count of visits on the football team's website. It doesn't specify if it's the initial visits within the first day or hour, so we can assume it's the first week's count. To find the number of visits in week 0, we'll review the chart, which indicates 48,000 visits for that week. Thus, the completed sentence will say, The initial number of visits to the website was 48,000. SENTENCE #2 The percent decrease from week __ to week __ was ____%. To determine the percent decrease, we first calculate the difference between the two values, then divide that difference by the original number and multiply by 100. Hence, the new statement concludes with, The percent decrease from week 4 to week 5 was 50%. SENTENCE #3 The minimum number of visits on the website during the first 5 weeks since Jim began his assessment was ____. This is straightforward; we only need to check week 5 to find the minimum visit count. Therefore, the completed sentence will state, The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was 1,500. Hope this helps! - Lindsey Frazier ♥