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?
Answers
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
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
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
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
Meaning 25% 25 divide one hundred
Therefore answer is 0.25
Somone please help I am completely lost...
Answers
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.
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
£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
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
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
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
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
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
6+3=9
6(2)+3=15
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°.
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)
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]
If 18 oz of laundry detergent costs $14.94. What is the unit rate?
Answers
Answer: $2.45
Step-by-step explanation:
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.
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
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
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
Find the area of the kite. please help
Answers
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.
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
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
What is the slope line?
Answers
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
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.
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.
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
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.
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
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:
What is the radical form of 8½
Answers
a
x
n
=
n
√
a
x
a
x
n
=
a
x
n
.
Exact Form:
√
8
area of a isosceles triangle
i will make as brainliest whoever answers
Answers
Answer:
145cm is the area I believe.