Unit 3 Closing Activity

Your task is to package 36 cans of tennis balls for shipping. Each tennis ball can contain 3 tennis balls.
You must box them in two rows of 18 cans.

When you go to the box store to purchase a box, you notice that the boxes come in a variety of sizes. All dimensions are in multiples of 6” (ie. 6”, 12”, 18”, etc.). Assume the diameter of one tennis ball is 3 inches. Use 3.14 as the value of .

When talking to the shipping clerk, you find out that there is an extra charge for any extra space in the shipping box that is not taken up by the cans because they have to fill that space in with a filler. Since you are on a tight budget, you want to spend the least amount of money as possible to ship this box.

Your task:

Choose the size box that fits the cans for your shipment.

L= W= H=



2) Determine how much extra space there is in your box after you have put the cans in

Answer:

Slope = -2

Step-by-step explanation:

use the formula y2-y1 over x2-x

Pick two points from the graph

(3,-6) and (-3,6)        

X= 3 and -3

Y= -6 and 6

6-(-6) over -3-3 = -2 (Reduce the expression, if possible, by cancelling the common factors.)                  

Answer:

we need the tables.

Step-by-step explanation:

Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93

Step-by-step explanation:

E(x)= 10

It is a continuous random variable, so calculating for ✓, we have

10=E(x)1/✓

✓=1/10=0.1

1)P(x>60)=1-F(60)=e^0.1x60=0.0025

2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63

3) for 0.1, x= -1/0.1 ln0.1= 23

4) for 0.9, x= -1/0.1 ln 0.9= 1.053

5) for 0.5, x -1/0.1 ln 0.5= 6.3

Answer:

x=49

Step-by-step explanation:

you replace the unknown with a variable (x)

you subtract 7 three times, so it x-7-7-7=28 or x-21=28

you add 21 to both sides, then you get x=49

Answer:

A

Step-by-step explanation:

substitiuting the values repectively gives you the answer for the other.

Answer:

A perfect square means that all side are EXACTLY equal. I hope this helps!

Step-by-step explanation:

In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number

When we evaluate the quotient functions, (mn)(x) for x = -3

(mn)(-3) = 9 and (m/n) (x), x ≠ 0

To evaluate the quotient function (mn)(x) for x = -3, we  substituting x = -3 into the function mn(x).

This gives us (mn)(-3) = m(-3) × n(-3) = (-3)² × (-3) = 9.

We then need to evaluate (m/n)(x), x ≠ 0.

This is done by dividing the function m(x) by the function n(x). This gives us (m/n)(x) = m(x) / n(x) = x^2 / x = x. However, this expression is undefined when x = 0, because division by zero is undefine

Find more exercises on quotient function;

https://brainly.com/question/31065639

#SPJ1

Answer:

-2,1

Step-by-step explanation:

Answer:

the answer is (-2,1)

Answer:

9990.

Step-by-step explanation:

Answer:

The answer is 39.

Step-by-step explanation:

bc^2 + a / c

=(9)(4)^2 + (12) / (4)

=(9)(4*4) + (12) / (4)

=(9)16 + (12) / (4)

=144 + 12 / 4

=156 / 4

=39

Answer:

327

Step-by-step explanation:

when the variables are together multiply

so

9×4=

36

36²=

1296

1296+12=

1308

1308÷4=

327

hope this helps!

Answer:

3 and 3/5

10 and 2/5

2 and 11/10

Step-by-step explanation:

Answer:

2x=1

Step-by-step explanation:

Use x for "a number"

x times 2 = 1

2x=1

which solves for 0.5 or 1/2

2x = 1

yea umm her answer was correct! i checked!

Answer:

1/6

Step-by-step explanation:

There are 6 different outcomes when rolling a fair dice.

You can roll a:

1

2

3

4

5

or

6

There is one outcome we want. Probability=number of desirable outcomes/total number of options.

1= number of desired outcomes

6-=total number of outcomes

1/6

Answer:

Your answer is: I would say C) They all have doubled consonants.

Step-by-step explanation:

Hope this helped : )

They are all commonly confused words. Makes these words difficult to spell. The sentence "effect principle decent accept". Thus, option (d) is correct.

What are words?

The term words referred to the combination of the letters. The words are the always in to define the meaning. The letters are arranged in the proper manner of the spellings are in the correct format. The words are the arranged in proper manner in the creation of the sentence. The words are the noun and the pronoun.

According to the sentence, was the based on the commonly confused words. The words are the always commonly as the confused because each word is a different meaning as the similar spelling.

As a result, the commonly confused words are word difficult to spell. Therefore, option (d) is correct.

Learn more about on words, here:

https://brainly.com/question/28611

#SPJ2

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

44+4=48

yeah basic answer

Answer:

Option 3

Step-by-step explanation:

Because only the constant is changed.

Answer:

C

Step-by-step explanation:

Mathematically, the volume of a cube of side L is given as;

V = L^3

Now, given V and we want to find L, what we shall simply do is to find the cube root of both sides

By finding the cube roots of both sides, we can easily get the value of the side of the cube in question

Answer:

2,796.

Step-by-step explanation:

First, I added 619 + 313, which is 932. Since she is able to use more, I multiplied it by two to get me 1,864. If I tried multiplying it by three, I would get 2,796, which is a perfect amount.  

Answer: 24100

Step-by-step explanation:

The money in the account after 8 years is $24068.631.

Given that, principal=$19000 and the rate of interest=3%.

The formula to find the compound interest is CI=A-P.

Where, A=Amount that is [tex]A=P(1+\frac{r}{100} )^{n}[/tex], P=principal.

Now, [tex]A=19000(1+\frac{3}{100} )^{8}[/tex]

=19000[tex](1.03)^{8}[/tex]

=19000×1.26677008139

=$24068.6315464

=$24068.631

Therefore, the money in account is $24068.631.

To learn more about compound interest visit:

https://brainly.com/question/21270833.

#SPJ5

Answer:

I think the answer is 50

Step-by-step explanation:

thats how i learned in school i dont remember tho

Answer:

Each loft was $0.70 cents?

Step-by-step explanation:

$16.59/ 21 =$0.70

I just read the including tax part. How much was the tax?

Answer:

$.84

Step-by-step explanation:

16.59 * .06 = .9954

.9954 + 16.59 = 17.5854

17.5854 / 21 = .8374

.8374 rounded to the nearest hundredth is .84

The slope of a line would be -6 which is perpendicular to the line whose equation is 2x+12y=−192.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

We have to determine the slope of a line perpendicular to the line whose equation 2x + 12y = −192.

First, we have to find the slope of the given line

The equation of the line which is given as

2x + 12y = −192

12y = −192 - 2x

Divided by 12 both sides of the above equation to get the slope-intercept form

y = - (1/6)x - 16

Here the slope of the line (m) = -1/6

So the slope of the line perpendicular to the line will be: 1/m = 1/(-1/6) = - 6.

Learn more about the Lines here:

brainly.com/question/14511992

#SPJ2

Answer:

m=2x+5d

Step-by-step explanation:

Answer:

[tex]P(x) = -0.25x^2 + 42x - 90[/tex]

Step-by-step explanation:

Given

[tex]C(x) = -17x + 90[/tex]

[tex]R(x) =- 0.25x^2 + 25x[/tex]

Required

Determine the profit function.

Profit function is calculated as thus:

[tex]P(x) = R(x) - C(x)[/tex]

So, we have:

[tex]P(x) = -0.25x^2 + 25x -(-17x + 90)[/tex]

[tex]P(x) = -0.25x^2 + 25x + 17x - 90[/tex]

[tex]P(x) = -0.25x^2 + 42x - 90[/tex]

Example: What is 3 squared?

3 Squared== 3 × 3 = 9

"Squared" is often written as a little 2 like this:



This says "4 Squared equals 16"

(the little 2 means the number appears twice in multiplying, so 4×4=16)

Square Root

A square root goes the other direction:



3 squared is 9, so a square root of 9 is 3

It is like asking:

Answer:

Thank you ☺️

6+4x=8+3x

-3x     -6

x=2

the number is 2