Find the value of x that maximized the volume of the following:
X
5 - 2x
8 - 2x
O x= 5
O x= 10/3
O x= 1
O x= 2.5
Answers
Check the picture below.
as you can see, the graph of the volume function comes from below goes up up up, reaches a U-turn then goes down down, U-turns again then back up to infinity.
the maximum is reached at the close up you see in the picture on the right-side.
Why we don't use a higher value from the graph since it's going to infinity?
well, "x" is constrained by the lengths of the box, specifically by the length of the smaller side, namely 5 - 2x, so whatever "x" is, it can't never zero out the smaller side, and that'd happen when x = 2.5, how so? well 5 - 2(2.5) = 0, so "x" whatever value is may be, must be less than 2.5, but more than 0, and within those constraints the maximum you see in the picture is obtained.
Related Questions
If Andrea’s boss informs her that she will get a salary increase next month. Then
a. Her demand for all goods will increase next months
b. Her demand for normal goods will increase next months
c. Her demand for normal goods increases now
d. Her demand for all goods increases now
Answers
If Andrea’s boss informs her that she will get a salary increase next month. Then her demand for normal goods will increase next month.
What are normal goods?
A normal good is a good whose demand increases when income increases and whose demand falls when income falls. Normal goods have a positive relationship with income.
Normal goods contrast with inferior goods whose demand falls when income increases and increases when income decreases.
To learn more about normal goods, please check: https://brainly.com/question/2934596
1
O
Kim ran a 26-mile marathon. She ran 1/7 of the
marathon during the first hour. How many miles
did Kim run during the first hour?
Answers
Explanation: 1/7 • 26 miles = 3.71428571429
A small-business owner will lease a billboard to advertise her business. The table shows the linear relationship between the cost of leasing a billboard from Company N and the number of months the billboard is leased. The cost to lease a billboard from a different company, Company P, for x months can be found using P(x) = 100x. For what number of months will the cost of leasing a billboard be the same for both companies?
Number on months, x. - Cost, N
1 - 580
2 - 660
3 - 740
4 - 820
5 - 900
RoC = + 80
A. 9 months
B. 29 months
C. 10 months
D. 25 months
Answers
It would take about 25 months for the cost of leasing a billboard be the same for both companies.
Linear functionA linear function is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Let P represent the cost to lease a billboard from a different company for x months. Given that:
P(x) = 100x
For the second company, let C represent the cost, hence using the table point (1, 580) and (5, 900):
C - 580 = [(900 - 580)/(5 - 1)](x - 1)
C = 80x + 500
For the same cost:
100x = 80x + 500
x = 25 months
It would take about 25 months for the cost of leasing a billboard be the same for both companies.
Find out more on Linear function at: https://brainly.com/question/15602982
Answer:25 months
Step-by-step explanation:
because that’s what it says
A molecule that can be used as a molecular clock has a neutral mutation rate of one mutation per 40 million years. How many years ago did two species share a common ancestor if the molecules found in these two species differ by a total of eight mutations? 160 million years 320 million years 100 million years 240 million years.
Answers
Answer:
Answer: 320 MIlion years
Step-by-step explanation:
IT is not very hard because all you have to do is since it is only 40 million per one rotation and you have eight of them, then it is 320 because 4 times 8 equals 32.
please help me
i'll mark u as brainly if u give me the correct answers
Answers
Answer:
49π cm²
Step-by-step explanation:
Diameter (d) = 14 cm
Radius (r) = d/2 = 14/2 = 7 cm
Area of a circle
= πr²
= π × (7)²
= 49π cm²
Hope it helps ⚜
Information provided with us :
Diameter of the given circle is 14 cm.What we have to calculate :
Area of that circle?Performing Calculations :
Here we would be first calculating the radius of the given circle. As we know that radius of the circle is calculated by the formula,
r = d / 2Putting the values,
=> r = 14 / 2
=> r = 7
Therefore, radius is of 7 cm.
Now, heading up to calculate the area of circle.
Formula,
A = πr²Putting the values in the formula,
=> A = 22/7 (7)²
=> A = (22/7) × 7 × 7
=> A = 22 × 7 × 7 / 7
=> A = 22 × 49 / 7
=> A = 22 × 7
=> A = 154 cm²
What is the negative solution to the equation 0 - 5 x? 9 ON A) -9 B) 1 C) 9 D) -81
Answers
Answer:Example 1.
2x2 - 5x - 12 = 0.
(2x + 3)(x - 4) = 0.
2x + 3 = 0 or x - 4 = 0.
x = -3/2, or x = 4.
Step-by-step explanation:
help me..........................
Answers
Answers:
25. a
26. b
27. c
28. a
29. d
30. d
Step-by-step explanations:
25.
[tex]C = 2\pi r = 2*\frac{22}{7}*\frac{d}{2} = \frac{22}{7}*d = \frac{22}{7} * 42 = 22 * 6 = 132[/tex]
26.
It's the net of a cone
27.
It's the net of a prism (triangular prism)
28.
[tex]V = a^{3}[/tex]
[tex]V = 1000 cm^{3}[/tex]
[tex]a = \sqrt[3]{1000} = 10[/tex]
29.
[tex]v = \frac{d}{t} = \frac{850}{25} = 34[/tex]
30.
[tex]V = 25*10*8 = 2000 cm^3[/tex]
Which statement is NOT always true about a parallelogram?
A. The opposite sides are parallel
B. The diagonals are congruent
C. The opposite angles are congruent
D. The opposite sides are congruent
Answers
Answer:
Of the statements given, the one that is not always true about a parallelogram is that A. The diagonals are congruent.
I’m super confused on 1/3 times 60
Answers
Answer:
20
Step-by-step explanation:
Basically, Yout take 60 and divide it by the number 3 and you get 20. Doing the inverse operation (opposite).
send me a photo of 360 angle ruler
Answers
Answer:
The image below shows an image of a 360 degree ruler.
Step-by-step explanation:
Tell me an rounded to the nearest 10th of needed of the following data set is 30,29,40,51,39,24,60,40,35,58
Answers
Which of the following sets of numbers could represent the three sides of a triangle?
Answers
Answer:
( 8 , 15 , 24 )
option d is the correct answer
One year, the population of a city was 201,000. Several years later it was 237,180. Find the percent increase.
Answers
Answer:
18%
Step-by-step explanation:
% increase = new population - old population x 100
old population. 1
% increase = 237180 - 201000 x 100
201000. 1
% increase = 36180 x 100
201000
% increase = 3618000
201000
% increase = 18%
Suppose a rescue helicopter is 700 feet above sea level descends 300 feet to search for debris or any other signs of a submarine in trouble. When the captain does not see anything, he ascends 200 feet and stays at that altitude while he tries to get a radio signal from the submarine. A few moments later he speaks to the captain and is informed that the submarine is 122 feet below sea level. How far is the helicopter from the submarine?
Answers
600+122=722
ANS 722
Answer:
The helicopter is 722 feet from the submarine.
Step-by-step explanation:
700 - 300 = 400
400 + 200 = 600
600 - 122 = 722
Amy volunteers at an animal shelter. She worked 10 hours in March, 12 hours in April, 14 hours in May, and 16 hours in June. If the pattern continues, how many hours will she work in December? Make a table to find the answer.
Answers
Answer:
28
Step-by-step explanation:
3th (March): 10
4th: 12
5th: 14
6th: 16
7th: 18
8th: 20
9th: 22
10th: 24
11th: 26
12th ( December): 28
The 4th, 5th, 6th ect are the months because i cant remember the order or how to spell rn
March (1) = 10 hours (first month, second month.. so on)
April (2) = 12 hours (+2)
May (3) = 14 hours (+2)
June (4) = 16 hours (+2)
July (5) = 18 hours (+2)
August (6) = 20 hours (+2)
September (7) = 22 hours (+2)
October (8) = 24 hours (+2)
November (9) = 26 hours (+2)
December (10) = 28 hours (+2)
Amy works 2 extra hours every month.
By December, she would have worked 28 hours.
Solve the system of equations
a+s=560
8a+3s=2905
Answers
Answer:
a=245 s=315
Step: Solve a+s=560 for a:
a+s=560
a+s=560(Add -s to both sides)
a=−s+560
Step: Substitute −s+560 for a in 8a+3s=2905:
8a+3s=2905
8(−s+560)+3s=2905
−5s+4480=2905(Simplify both sides of the equation)
−5s+4480=2905(Add -4480 to both sides)
−5s=−1575
−5s=−1575(Divide both sides by -5)
s=315
Step: Substitute 315 for s in a=−s+560:
a=−s+560
a=−315+560
a=245
Claire made four times as many baskets as Chloe during basketball practice today.
Answers
Answer:
comment the abcd's maybe i can help
Step-by-step explanation:
also conplete the question
I need help on this one!!
Answers
Answer:
v = -6
Step-by-step explanation:
1. Add the opposite (turn each subtraction sign into an addition sign and change the number in front of the addition sign to a negative or positive depending on what it was originally).
2. Subtract 4v from both sides of the equation.
3. Subtract 36 from both sides of the equation.
4. Divide both sides of the equation by 9.
5. You will be left with v = -6.
PLEASE ANSWER Solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
x=14
Step-by-step explanation:
30. 60 90
x x[tex]\sqrt{3}[/tex]. 2x
7 7[tex]\sqrt{3}[/tex]. 14
The angle across from the wall is the measurement.
Give the other guy brainliest.
(I messed up the question)
3rd question bois XD brainliest and 30 points
Answers
Answer:
B
Step-by-step explanation:
Angle is 180
180-80= 100
combine like terms
5x
100=5x
X=20
3x+80+2x=180
-80. -80
3x+2x=100
5x=100
divide both sides by 5
X=20
Roberto said, "I'm thinking of a fraction that is equivalent to 3/9. The denominator is 2 more than the numerator." What fraction is Roberto thinking of? Enter the numerator in the top blank space and the denominator in the bottom blank space.
Answers
Answer:
1/3
Step-by-step explanation:
3/9 divided by 3 is 1/3 and 1+2 =3
Answer:
3/9 = x/3
Step-by-step explanation:
yes
What is the correct answer NEED IT ASAP PLEASE
Answers
Answer:
84
Step-by-step explanation:
Since Robin doesn't work at McDonald's, then we would focus on the 1000$ and the 12$/hour, divide 1000 by 12 = 83 [tex]\frac{1}{3}[/tex] then, complete it by adding [tex]\frac{2}{3}[/tex] to it (because its BY HOUR) and the answer is 84.
What is the solution of 4 StartRoot 5 x 66 EndRoot = x 10?.
Answers
The formula of Sridharacharya is used. Then the solutions of the equation are 73.19 and -13.19.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The equation is given as
[tex]\rm 4\sqrt{5x + 66} = x +10[/tex]
Squaring both sides, we have
16(5x + 66) = (x + 10)²
16(5x + 66) = x² + 100 + 20x
On simplifying, we get
x² + 100 + 20x -80x - 1056 = 0
x² - 60x - 956 = 0
On solving by formula method, we have
a = 1; b = -60; and c = -965
[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\\\x = \dfrac{-(-60) \pm \sqrt{(-60)^2 - 4*1*(-965)}}{2*1}\\\\\\x = 73.19, \ -13.19[/tex]
Thus, the solutions of the equation are 73.19 and -13.19.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
verified dude trippin
its 3
274% as a decimal and fraction?
Answers
2.74 and 137/50 should be correct
Answer:
274% as a decimal = 2.74
Place the Percentage Value at the top over 100.
274/100
The given fraction is
27/100
On reducing the fraction, we get the exact form
274/100 = 137/50
The exact form of the fraction is
137/50]
In the decimal form, the fraction can be written as 2.74.
In the Mixed Number form, the fraction can be written as 2 37/50
.
Step-by-step explanation:
There are 20 socks in a drawer, all the same size, that are blue, green and red. The probability of picking a blue sock is 20%. The probability of picking a green sock is 50%. What is the probability of picking a red sock from the drawer?
Answers
Answer:
30%
Step-by-step explanation:
Probabilities are always out of 100%
50+20=70
100-70=30
Find the number of terms and the degree of this polynomial.
4f² + 5f
Number of terms:
Degree:
Answers
The degree is also 2
The number of terms is how many terms there are present. 4f^2 and 5f are the only terms present, and there are two, so the answer is two
The degree is the highest degree on the polynomial, which would be two from 4f^2
Nathan usually drinks 36 ounces or water per day. He read that he should drink 60 ounces of water per day. If he starts drinking 60 ounces, what is the percent increase? Round to the nearest percent.
Answers
Answer:
86.4 or 86% if you round
Step-by-step explanation:
60-36=24
24×3.6=86.4
Identify the angles of rotational symmetry for the figure.
Answers
Answer:
60°
Step-by-step explanation:
The internal angLe is 60°
PLEASE HELP I AM STRUGGLING ON THIS
Answers
Answer:
(1, -5) or x=1, y=-5
Step-by-step explanation:
Hope this helps!
Will mark Brainliest
if correct
What is the maximum of the sinusoidal function?
Answers
Answer:
5
Step-by-step explanation:
Maximum: the value of y where the height of the function is greater than (or equal to) the height anywhere else in that interval.
From inspection of the graph, the maximum is 5
This is a graph of [tex]f(x)=2\sin(x)+3[/tex]
Range: [tex]1\leq f(x)\leq 5[/tex]
Answer:
maximum: 5, minimum: 1
Explanation:
maximum is the highest/peak point of a graph.minimum is the bottom/lowest point of a graph.check out the image for better visualisation:
