Answer:
He will have $5.50 left to spend.
Step-by-step explanation:
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?
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:
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The differnce between a number divide by 3 and 4 is 20
Answer:
(n/3)/4 =20
Step-by-step explanation:
i think this is what your looking for if not im sorry
have a blessed day :)
Enter the value for x that makes the equation ž (4x – 8) + 3x = 36 true.
X=44/7
Step-by-step explanation:
4x-8+3x=36
7x-8=36
7x=36+8
7x=44
X=44/7
Solve the equation. 4x-3=5x-7
Answer:
x=4
Step-by-step explanation:
4x-3=5x-7
-1x-3=-7 Subtract the 5x on both sides
-1x=-4 Add the -3 to the -7
x=4
Answer:
8q7s6271 be ta up dkdieow
Solve
7 + X = 2x-5
3
Answer:
the exact form is 22/5
decimal form is 4.4
mixed number form is 4 2/5
Step-by-step explanation
isolate the variable by dividing each side by factors that don't contain the variable
Markus buys an old bike for £50. He cleans it up and sells it for £60. What is his percentage profit?
A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?
Answer:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Step-by-step explanation:
The equation of the ellipse with centre at origin and major axis along the x-axis is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:
a² = c² + b²
Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).
Hence c = 4100
Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.
a = 2c = 2(4100) = 8200 miles
We can get the distance from the center to the minor axis vertices (b), using:
a² = c² + b²
8200² = 4100² + b²
b² = 8200² - 4100²
b² = 50430000
b=√50430000
b = 7101.4 miles
The ellipse equation is:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Answer:
[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]
Step-by-step explanation:
Evaluate 2x when X4
what’s the answer for this?
what is the image of (8,7) after a reflection over the line y=-x?
Answer:
(-7,-8)
Step-by-step explanation:
The original point is (8,7)
To reflect it, just switch their places and change their signs.
So, (-7,-8)
PLSS HELP the length of a rectangle is 3 meters greater than 2 times the width the perimeter of a rectangle is 30 m what is the length of the rectangle
Answer:
Width: 4 meters. Length: 11 meters
Step-by-step explanation:
If you do it correctly, the length should be 3 more greater than 4*2. 4*2= 8 +3= 11. Your perimeter= 30 meters. 11+11 accounting for both long sides of the rectangle= 22. Accounting for both sides of the width, so 4*2=8 + our 22= 30 meters. Yw.
The length of the rectangle width 4 meters and length 11 meters.
If you do it correctly,
The length should be 3 more greater than
What is the perimeter of a rectangle?
P=2(l+w)
L= Length
W = Width
4*2. 4*2= 8 +3= 11.
Your perimeter= 30 meters.
11+11 accounting for both long sides of the rectangle= 22.
Accounting for both sides of the width,
So 4*2=8 + our 22= 30 meters.
Therefore we get the length of a rectangle is 11 meters.
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the 100th term of the sequence with the term -1-4n
Given:
The terms of a sequence are given by
[tex]a_n=-1-4n[/tex]
To find:
The 100th term of the sequence.
Solution:
We have,
[tex]a_n=-1-4n[/tex]
Putting n=100, we get
[tex]a_{100}=-1-4(100)[/tex]
[tex]a_{100}=-1-400[/tex]
[tex]a_{100}=-401[/tex]
Therefore, the 100th term of the given sequence is -401.
An equation is shown below:
5(2x - 8) + 15 = -15
Write the steps you will use to solve the equation and explain each step. i need the steps plzzzz
Step-by-step explanation:
10x-40+15=-15
10x=-15-15+40
10x=10
x=1
Answer is 1
I will mark you as the brainiest if you get this correct Thx so much xxx
Answer:
22.7
Step-by-step explanation:
9³-8*6 = 729-48= 681
(8²-4) / 2 = 30
681/30 = 22.7
Answer:
[tex] \huge \boxed{ \blue{ \text{22.7}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:order of PEMDASgiven:[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex]let's solve:[tex]step - 1 : define[/tex]
[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex]
[tex]step - 2 : simplify[/tex]
[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex][tex] \frac{729 - 8 \times 6 }{ (64 - 4 ) \div 2} [/tex][tex] \frac{721 -48}{60 \div 2} [/tex][tex] \frac{681}{30} [/tex][tex]22.7[/tex]Expand and simplify (x + 4)(x-7)
Answer.
(x+4)×(x-7)
= x^2 - 7x + 4x - 28
= x^2 - 3x - 28
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Silver scored 48 points in 4 basketball games. If Silver scored the same amount in each game how many points would he score in 10 games?
Answer: 120
Step-by-step explanation: He scores 12 points each game. 12 x 10 = 120 Good luck! :D
Which of the following word problems can be solved using the equation 10 x - 15=60
Answer:
Kit buys
Step-by-step explanation:
im right
Please help! I need help
Answer:
median is 32 and the mean is 21
what is true about the line x-4y=8
y= x + 1
y= -x + 5
what's the answer pls I need it asap
Answer:
X= 2 and y = 3
Step-by-step explanation:
(4 x 5)2 - 6 + 3 = ?
Answer:37
Step-by-step explanation:You multiply the ones that are in the parenthes
The Answer is 37, hope this helps.
The price of a car was decreased by 9% to £14000. What was the price before the decrease? Give your answer to the nearest penny.
Answer:
152600
Step-by-step explanation:
this is because 9% of 140000 is 1523
evaluate the expression 82+(-17)-(-53)
Answer:
Step-by-step explanation:
82 - 17 + 53
= 188
Answer:
118
Step-by-step explanation:
What does A represent in "BA+AB+AB+CAA"
Answer:
that looks hard sorry i cant help you good luk .
Help please, If your mom is making a garden and she wants it it be 5 yards how much cm is that
Answer:
it would be 457.2 cm or if you want it simplified then it would be 457 cm
hope this helped :)
Explain what effect an index of 0 has
Answer:
Zero-based numbering is a way of numbering in which the initial element of a sequence is assigned the index 0, rather than the index 1 as is typical in everyday non-mathematical or non-programming circumstances.
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4. The black triangle was transformed to
make the gray triangle. Which represents
the transformation?
A (x, y) + (x + 3, y + 3)
B (x, y) → (3x, 3y)
C (x,y) → (x-2, y-2)
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
Work out the total cost, in pounds, of the flights, the apartment and the car hire.
Help will mark Brainliest
Answer:
To find the slope, use the formula rise/run or change in y/change in x
In this case, the slope is 5
To find y-intercept, substitue values for x and y
Step-by-step explanation:
-3 = 5(2) + b
-3 = 10 + b
-10 -10
-13 = b
Therefore, b is -13
So here's how the equation looks in slope-intercept form
y = 5x + -13
Find the height of a cone with a diameter of 12 m and whose volume is 133 m.
A. 2 m
B. 9 m
C. 3 m
D. 1 m
Answer:
D
Step-by-step explanation:
Here, we want to get the height of the cone
radius = diameter/2
r = 12/2 = 6 m
To get this, we use the formula for the volume
V = 1/3 * pi * r^2 * h
133 = 1/3 * 3.142 * 22/7 *6^2 * h
h = 1.12 m
two angles of a triangle measure 67 degrees and 90 degrees what is the measure of the third angle?
23
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.
.
.
.
.
.
I hope it's helpful for you dude
Answer:23
Step-by-step explanation: