A shipping company will ship a package for $7.50 when the volume is no more than 15,000 cubic centimeters. Grace needs to ship a package that is 3x-5 centimeters long, 2x centimeters wide, and x + 20 centimeters tall. A.Write a polynomial expression to represent the situation if Grace plan as to spend a maximum of $7.50
B. Write and solve a system of equations
C. What should the dimensions of the package be to have the maximum volume?

Answers

Answer 1

The maximum volume is at x = 0.85 cm. The inequality is 6x³ + 110x² - 200x ≤ 15000

What is an inequality?

An inequality is an expression that shows the non equal comparison between two or more numbers and variables.

A shipping company will ship a package for $7.50 when the volume is no more than 15,000 cubic centimeters. Hence, if Grace plan as to spend a maximum of $7.50:

Volume (V) = (3x - 5)(2x)(x + 20) = 6x³ + 110x² - 200x

The inequality is:

6x³ + 110x² - 200x ≤ 15000

6x³ + 110x² - 200x - 15000 ≤ 0

x = 10

The maximum volume is at:

V' = 0

V' = 18x² + 220x - 200 = 0

x = 0.85 cm

The maximum volume is at x = 0.85 cm. The inequality is 6x³ + 110x² - 200x ≤ 15000

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PLEASE EXPLAIN’

Which set of numbers correctly
shows a number, its opposite, and
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A 98.4
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Answer:

A

Step-by-step explanation:

because -98.4 is the opposite of 98.4 and 98.4 is it's absolute value

solve the system by substitution​

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1) Solve one of the equations for either variable.

2) Substitute the expression from Step 1 into the other equation.

3) Solve the resulting equation.

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5) Write the solution as an ordered pair.

Give me a real life example of when you would use area. * (your own wording please!!!!)

Answers

A real word example where area would be useful is if you were building a house or if you designed clothes

Answer:

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Hopefully this helps!  

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Answers

Answer:

10^5

Step-by-step explanation:
10 multiplied by itself five times (10*10*10*10*10) is 100,000.

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They will each need to do 153!


Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.

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Answer:2 squared +3 squared and the square root of that number

Step-by-step explanation:

25 am
15 cm
15 om
E9 cm
-
9 cm
What is the area of the trapezold?
O
354 cm
o
408 cm2
0 510 cm2
0 O
595
cm2

Answers

The answer is 408 cm2 after applying the formula of right angled triangle,adding 25 and both 9 and applying the formula 1/2(p1+p2)h

Please give me brainliest

Jenna's pool is 22 feet long, 12 feet across and 6 feet deep.How many square feet of plaster will it take to cover it? (Be careful:Think about which parts will or won't be covered in plaster)

Answers

Answer:

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Step-by-step explanation:

because you only need to cover the top you multiply 22 x 12 to get 264 sq feet

I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!!!!!!!!!

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Answer:

K. 8

N. 12

A. 29

H. 5

I. -297

G. 89

T. 50

S. -7

W. 165

WHAT'S SHAKING

Answer:

K: 8

N: 12

A: 29

H: 5

I: -297

G: 89

T: 50

S: -7

W: 165

WHATS SHAKING [Answer]

Step-by-step explanation:

Please rate!!

PLEASE HELP! 50 POINTS! Consider the following set of sample data: (34, 32, 34, 32, 40, 37, 31, 31, 29, 27). Which of the following will give a 95% t confidence interval for the mean of the population from which the sample was drawn?

Answers

Answer:

(15.23,41.016)

Step-by-step explanation:

WE must determine the mean of the data set: Which is the sum of the set divided by the number in the set.
[tex]= (21 + 24 + 25 + 32 + 35 + 31 + 29 + 28)/8 = 225/8 = 28.125[/tex]
We must also determine the standard deviation: Which is the square root of the variance and the variance is the sum of squares of the sample number minus the mean divided by the number if the set data:
[tex]= ((21 - 28.125)^{2} + (24 - 28.125)^{2} +(25 - 28.125)^{2} + (32 - 28.125)^{2} + (35 - 28.125)^{2} + (31 - 28.125)^{2} + (29 - 28.125)^{2} (28 - 28.125)^{2}[/tex]
[tex]= 148.877/8 = 18.6[/tex]
The 95% confidence interval is defined as: The mean ± 1.96*standard deviation divided by the sqaure root of the number of data in the set:
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[tex]= 41.016[/tex]
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Answer:

32.7 ± 2.262(1.19)

Step-by-step explanation:

See attached pictures

An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure.

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B.40
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Answers

Answer:

The answer should be C=50

Step-by-step explanation:

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Hope it helpssss….best of luck

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Answers

Answer:

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Step-by-step explanation:

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or

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dependiendo de lo que esté tratando de encontrar

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Answers

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Answers

Answer:

6

Step-by-step explanation:

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Answer:

image

Step-by-step explanation:

image

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

[tex]D.~4x^2-20xy+25y^2[/tex]

Step-by-step explanation:

[tex]4x^2-20xy+25y^2\\\\=(2x)^2-2\cdot 2x \cdot 5y+(5y)^2\\\\=(2x-5y)^2[/tex]

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To know more about complementary angles please visit:

https://brainly.com/question/5708372

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Use the foil method and expand

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O -56
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O 56

Answers

Answer:

x = -52

Step-by-step explanation:

Multiply both sides of the original equasion by 3 to get:

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Soo

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Answers

Answer:

according to desmos scientific calculator, the answer is 13/40

13/40 is the correct answer

PLSS ANSWER

Round each fraction to help you estimate the solution for the equation.

three sixths plus three sixths

A. 0
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Answers

[tex] \frac{3}{6} = three \: sixths[/tex]

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Letter C

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Answers

Answer:

So, Simplified fraction of 8:6 is 4:3.

based on sample 2, how many students from the entire student population would prefer not to start at 7:45 am

Answers

Answer:

270

Step-by-step explanation:

from web

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