Tyler finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of the square cutouts used to make it. This is the graph Tyler gets if he allows x to take on any value between -1 and 7.

What is the approximate maximum volume for his box?

Tyler Finds An Expression For V(x) That Gives The Volume Of An Open-top Box In Cubic Inches In Terms

Answers

Answer 1

Answer:

Step-by-step explanation:

Domain: 0<x<3.5

To get 3.5:  7/2=3.5

Negatives and decimals can't be used

Approximate maximum volume for this box?  55

Answer 2

The proper domain of Noah's graph should be 0 to 3.5 and the maximum of the graph is at y = 60.

It is required to find the approximate maximum volume for his box.

What is co-ordinate geometry?

Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.

Given:

From the attached graph (see attachment), we have the following observations:

1.The x values starts from -1 and ends at 60

2.The domain of the graph is from 0 to 4 (i.e. x-values 0 to 4 have corresponding y-values on the graph)

3.x-values 0 to 3.5 have corresponding non-negative y-values

4.Other values of x have corresponding negative y-values

5.The maximum of the graph is at y = 60

Because the volume of a box cannot be negative, the x-values to use must correspond to non-negative y-values.

Hence, the proper domain of Noah's graph should be 0 to 3.5 and the maximum of the graph is at y = 60.

Learn more about co-ordinate geometry here:

brainly.com/question/21713105

#SPJ2


Related Questions

Between which two consecutive integers
is 140
-?
2

Answers

The value of the square root of 140 lies between 11 and 12. The square root of 140 is 11.83

HELO PLS DUE IN 40 MINS

In the diagram below, it is given that point Ris the midpoint of PQ. Which of the following can be concluded
based on this given?

Answers

Answer:

Sheesh good luck

Step-by-step explanation:

.........

Answer:

3

Step-by-step explanation:

MN is not equal to NR, because MN is too long

It doesn't tell us R is the midpoint of MN, so for all we know MR and RN are completely different measurements.

PR and QR must be equivalent if R is the midpoint of the two.

Dana has to pay 30% tax on any income above £30,000 per year.
Dana is paid £45,000 annually.
Calculate the amount of money she receives after tax each month.

Answers

£45,000 x 0.3 = £13,500
£13,500 divided by 12 months = £1125
Dana’s tax £1,125
£45,000 divided by 12 months = £3750
Dana’s Income money each month is £3750
£3750 - £1125 = £2625
Dana’s makes £2625 after paying her tax

100 POINTS!!! can someone help me please?? will give brainliest if correct!!​

Answers

Answer:

k= 15

Step-by-step explanation:

Answer:

k =15 and please give brainliest

Step-by-step explanation:

Somone please help I am completely lost...​

Answers

Kind of hard to tell what’s a plus and minus sign so maybe some of these are incorrect.

The first one says x+2x+4y.
So the first thing you would do is combine like terms.
x and 2x are like terms.
Since x has no number you would have to put a 1 in place for it.
So you would have 1x+2x which would be 3x.
You would then put that together and have 3x+4y.

Help please!! I will report random answers

Answers

Answer:

15) m∠A = 21°, m∠B = 125°, m∠C = 34°

16) m∠J = 48°, m∠K = 57°, m∠L = 75°

Explanation:

15) m∠A is thirteen less than m∠C, so if you were to translate that into numerical terms, it would be (x-13). m∠B is eleven less than four times m∠C, so that would be (4x-11). Because the angles of a triangle sum up to 180°, the equation for this scenario would be (x-13)+(4x-11)+x=180. (X is a variable for m∠C. Add all the like terms to get 6x-24=180. Add 24 to both sides to get 6x=204. Divide 6 on both sides to get x=34. Now that we know m∠C, we can substitute 34 into x to get m∠A as 21° and m∠B as 125°.

16) m∠K is 9 more than m∠J, which is (x+9). m∠L is 21 less than twice m∠J, which is (2x-21). Again, a triangle's angles sum up to 180°, so the equation would be (x+9)+(2x-21)+x=180. Add the like terms to get 4x+(-12)=180. Add 12 to both sides to get 4x=192. Divide 4 on both sides to get x=48. Substitute 48 for x to get m∠K = 57° and m∠L=75°.

There are 120 cars in a grocery store parking lot. The probability that a car selected at random is white is 18.How many of the cars in the parking lot are white?
A 8
B 15
C 30
D 105

Answers

Answer:D

Step-by-step explanation:

If you subtract 120-18 it is 102 and 105 is the closest feel free to correct me if I'm wrong.

Please help! I’m stuck on this

Answers

Answer:

i don’t see anything

Step-by-step explanation:

did you write something? because i can’t see it.

5x^2-26x-24=0
what does x equal?​

Answers

Answer:

x=4

x=6/5

Step-by-step explanation:

5x^2-26x-24=0

(x-4)(5x-6)

If 18 oz of laundry detergent costs $14.94. What is the unit rate?

Answers

Answer: $2.45

Step-by-step explanation:

PLEASE HELP AND EXPLAIN!!!!! thank you, appreciate it!!
A cylindrical pan has the dimensions shown below


A formula for the volume of a cylinder is 48x8 . Which equation best represents 9x8 , the area of the base of this pan in square inches?


A 77x32


B 60x14


C 61x12


D 95x30

Answers

Answer:

[tex]B = \pi (3\frac{1}{2})^2[/tex]

Step-by-step explanation:

Given

[tex]D = 7\ in[/tex]

[tex]H = 2\frac{3}{4}\ in[/tex]

See attachment for question and options

Required

Which best describe the base area of the pan

The base area (B) is calculated using:

[tex]B = \pi r^2[/tex]

Where

[tex]r = \frac{1}{2}D[/tex]

So, we have:

[tex]r = \frac{1}{2}*7[/tex]

[tex]r = \frac{7}{2}[/tex]

[tex]r = 3\frac{1}{2}[/tex]

Substitute [tex]r = 3\frac{1}{2}[/tex] in [tex]B = \pi r^2[/tex]

[tex]B = \pi (3\frac{1}{2})^2[/tex]

(a) is correct

Which of the following is an rational number 0.3232323232...​

Answers

Answer:

0.3232323232... is an irrational number

Step-by-step explanation:

An irrational number is any number that cannot be written as a fraction of whole numbers.

Sophia sells makeup brushes for b dollars. For
her holiday sale, she marks them down by 25%.
Which expression represents the sale price?

A- 1.25
B- 1.75
C-0.25
D- None of the above

Answers

C.0.25
Meaning 25% 25 divide one hundred
Therefore answer is 0.25

MODELING REAL LIFE A green roof is like a traditional roof but covered with plants. Plants used for a green roof cost $0.75 per square foot. The roof shown is 40 feet long. How much does it cost to cover both sides of the roof?

Answers

Answer:

$1200

Step-by-step explanation:

Let the roof be square shaped

Area of the roof = L²

L is the side length of the roof

Given

L = 40ft

Area of the roof = 40²

Area of the roof = 1600ft²

If plants used for a green roof cost $0.75 per square foot, this means

1 ft² = $0.75

Let the cost needed to cover both sides of the roof be y, hence;

1600ft² = y

Divide both expressions

1/1600 = 0.75/y

y × 1 = 0.75×1600.

y = 0.75×1600

y = 1200

Hence it will cost $1200 to cover both sides of the roof

Find the area of the kite. ​please help

Answers

It would just be 19*38 divided by two, 361.

That’s the simplest way of doing it, but you basically have to find the areas of the triangles, just doing base times height divided by two, and add all the triangles together.

A family of four went out to dinner. The bill for dinner was $93.07. The family decided to
leave a 15% tip. What was the total expense?

Answers

Answer: Down below. Also rounded up with whole dollar.

Step-by-step explanation:

Tip Total:$ 13.96

Tip Each Person:$ 3.49

Total (Bill + Tip):$ 107.03

Total Each Person:$ 26.76

If you round up to the whole dollar.

Tip Total:$ 14

Tip Each Person:$ 4

Total (Bill + Tip):$ 108

Total Each Person:$ 27

30.5 times 15.2 times x = 6176
find x

Answers

Answer:

The answer is x  =  13.32182916

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Multiply  30.5  by  15.2 .

463.6  ⋅  x  =  6176

Divide each term by  463.6  and simplify.

Hoped this helped!

Brainly, please?

Answer:

13.32

Step-by-step explanation:

30.5 times 15.2 is 463.6

So now the equation is 463.6x=6176

divide both sides by 463.6

x= 13.32

What is the radical form of 8½

Answers

Convert to radical form using the formula
a
x
n
=
n

a
x
a
x
n
=
a
x
n
.
Exact Form:

8

The sum of two numbers= 9, the sum of two times the larger number and the smaller one is 15. Find the two numbers.

Answers

The two numbers are 6 and 3

6+3=9

6(2)+3=15

What is the slope line?

Answers

First look at when x is zero what is why we see that y is three and that’s you’re y intercept
Now find two places on the line and count the difference up then to the side

The slope is y= -2/3x + 3

Hope this helps

In the equation below, what value of bresults in an
equation with infinitely many solutions?
3(bx - 1) = -3 + 12x

Answers

Step-by-step explanation:

3bx-3 = -3+12x

3bx=-3+3+12x

3bx=12x

3bx/3=12x/3

bx=4x

bx/x=4x/x

b=4

Which is the most accurate way to estimate 68% of 59?​

Answers

Answer:

pretty sure it would be 40.12

Answer:

The exact answer would be 40.12

The Rounded answer would be 40

Step-by-step explanation:

0.68 x 59 = 40.12

Brainliest plz

HELP I NEED HELP ASAP

Answers

Answer:

A. 3n³

Step-by-step explanation:

base (b) = 3n²

height (h) = 2n

Area of triangle

= 1/2 * b * h

= 1/2 * 3n² * 2n

= 3n³

If 7 aliens have cats and 7 aliens don't what is the square root of the sun
a. purple because the earth is round
b. Germany because Hershey's are brown
c. 9 because pencils are to write with
d. 11

Answers

B it’s B not doubt about it

Sydnie scored 74 points in Round Two of a talent competition. This is 7 points less than three times her score in Round One. Which equation should be used to find Sydnie’s score in Round One?

Answers

the correct answer would be, 74+7x3 which equals 95. her score in round 1 was 95 points.

What is 180% as a decimal

Answers

Answer:

1.80 this is the correct answer

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{What is \underline{1\bf{80\% as a decimal?}}}[/tex]

[tex]\large\text{GUIDE for UNDERSTANDING percentages}\downarrow\\\\\bullet \large\text{ When you hear the word \underline{PERcent} think of its out of 100}\huge\checkmark \\\large\text{(MAINLY over 100)}\\\\\bullet\large\text{ Basic solving: Get rid of your percentage symbol (\%) and DIVIDE}\\\large\text{your given number by 100}[/tex]

[tex]\large\text{Equation: }\bold{ \180\% = \dfrac{180}{100}}\\\\\large\text{We are going to focus on the }\bold{\dfrac{180}{100}}\large\text{ because it helps us solve for your}\\\large\text{decimal (also known as your result to this question)}\\\\\bold{\dfrac{180}{100}\rightarrow 180\div 100 \rightarrow your \underline{\ answer}}\\\\\bold{= 180\div100 \rightarrow 1.8}\\\\\large\text{180\% = \bf{1.8}}\\\\\boxed{\boxed{\large\text{Therefore, your answer is: \bf{1.8}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

area of a isosceles triangle

i will make as brainliest whoever answers

Answers

Answer:

145cm is the area I believe.

I don’t know how to solve this please help

Answers

Answer:

Only the first point lies on the line and thus, Anders is incorrect

Step-by-step explanation:

Here, we want to show that Anders is incorrect

we simply substitute the values of his coordinates into the equation of the line

for (10,420)

we have;

420 = 40(10) + 20

420 = 420

This is right

We now test the second given point;

-420 = 40(-10) + 20

-420 = -400 + 20

-420 is not -380

Tayler's mom purchased a savings bond for Tyler. One year after it was purchased, the value of the savings bond was $156. If the value of the savings bond increases by 4% after one year, what was the value of the bond when Tyler's mom purchased it? Explain or show your reasoning.

Answers

Answer: The value of the bond when Tyler's mom purchased it = $150

Step-by-step explanation:

Let x= Purchasing price of the bond.

Given: Rate of increase in its value = 4% = 0.04

Value of bond after one year = x+ 4% of x

= x+0.04x

= 1.04x

One year after it was purchased, the value of the savings bond was $156.

[tex]\Rightarrow\ 1.04x = 156\\\\\Rightarrow\ x=\dfrac{156}{1.04}\\\\\Rightarrow\ x=150[/tex]

Hence, the value of the bond when Tyler's mom purchased it = $150

06:20+35min=

06:23+ _ min=07:00

Answers

Answer:

27 min i think

Step-by-step explanation:

Answer: 9:35

Step-by-step explanation:

i think that's the right answer

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