That is 5 multiplied by it..

Find the distance between each pair of parallel lines with the given equations.

Kazeer [188]

The first one is 6
The second one is 4

3 0

3 years ago

Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard

Bumek [7]

Answer:

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

substitute

$V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

Find the domain for x

we know that

$(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm$

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

5 0

3 years ago

An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their poli

kenny6666 [7]

Answer:

the probability that there will be a seat available for every passenger who shows up is 0.74

Step-by-step explanation:

if the probability of choosing a passenger that will not show up is 5% , then the probability of choosing a passenger that will show up is 95%.

Denoting event X= x passengers will show up from the total of 52 that purchased the ticket

Then P(X) follows a binomial probability distribution, since each passenger is independent from others. Thus

P(X) = n!/((n-x)!*x!)*p^x*(1-p)^(n-x)

where

n= total number of passengers hat purchased the ticket= 52

p= probability of choosing a passenger that will show up

x = number of passengers that will show up

therefore the probability that the number does not exceed the limit of 50 passengers is:

P(X≤50)= ∑P(X=i) from i=0 to i=50 =F(50)

where F(x) is the cumulative binomial probability distribution, then from tables:

P(X≤50)= F(50) = 0.74

therefore the probability that there will be a seat available for every passenger who shows up is 0.74

8 0

3 years ago

Jose bought 1.5 pounds of apples for $3.60. How much would 34 of a pound of apples cost?

uysha [10]

122.4$ hope it helps !!!

6 0

3 years ago

Read 2 more answers

Need help with all them plz and thank you and may god bless you

Elena-2011 [213]

1) Flounder
2) The second option(its blurry)
3) 4
4) 1
5) I think 52(its blurry)
6) 12
7) 2 1/3
8) 51
9) 5/6
10) 38
11) 40
12) The error is the negative sign because when finding absolute value the answer can never be zero since absolute value is the how far the thing is from zero, unless the negative sign is outside the absolute value lines.
13) >
14) =
15) <
16) >
17) a: your boat (18) friends boat (23).
b: your friends boat is farther behind the winning boat.
18) -2, 0, 1, 3, 5
19) -5, -3, 1, 3, 5
20) Always True
21) Never True
22) Sometimes

P.S You should give more points for this and you should get tutoring or you won't learn how to do this its pretty easy just a suggestion not calling you dumb or anything.

4 0

3 years ago