f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
f(x) = max{0,x} then f(x)=0 if x<0 and f(x)=x if x≥0.
f(x)=7x-2xlnx
When x tends to -∞, f is the constant function zero, therefore limit n tends to infinity f(x) = 0.
When x tends to ∞, f(x)=x and x grows indefinitely. Thus limit n tends to infinity f(x) = infinity.
f is differentiable if x≠0. If x>0, f'(x)=1 (the derivative of f(x) = x and if x<0, f'(0)=0 (the derivative of the constant zero).
In x=0, the right-hand derivative is 1, but the left-hand derivative is 0, hence f'(0) does not exist,
f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).
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What Is The Volume? Show Your Work Please
Answer:
406[tex]ft^{2}[/tex]
Step-by-step explanation:
The surface area of a cube is 96 square units. What is the volume of the cube?
Answer:
volume=64
Step-by-step explanation:
surface area of cube =96
6l²=96
l²=16
l=4
now, by the question
volume of cube =l³
=(4)³
=64
The integer succeeding -9 is
The integer succeeding -9 is - 8.
Answer:
-8 is the answer as it goes like -10,-9,-8 etc
What fraction of 2.4 litres is 400 ml?
Answer:
1\5 of 2 litres is 400 ml.
Step-by-step explanation:
Hope this helps!!!
A local restaurant owner can purchase tea for $16 per pound and coffee for $8 per pound. His budget does not allow him to spend more than $280 on coffee and tea. Which graph shows the possible combinations of pounds of tea, x, and pounds of coffee, y, that the restaurant owner can purchase?
Answer:
answer is 152
Step-by-step explanation:
i mutiplied $16 and $8 and got 128 the subtracted 128 and 280 and final answer is 152
What is the sum of the numbers in the series below? 15 11 7 . . . (–129)
Using Gauss's method, the sum of the numbers in the given series [ 15 11 7 . . . . ( –129 ) ] is -2664.
What is an arithmetic sequence?An arithmetic sequence is simply a sequence of numbers in which the difference between the consecutive terms is constant.
From Gauss's method nth term is an arithmetic sequence is expressed as;
n = (( first term - last term )/d) + 1
d is the common difference between terms.
Given the series in the question;
15 11 7 . . . (–129)
d = 15 - 11 = 4
Next, we find n
n = (( first term - last term )/d) + 1
n = (( 15 - (-129))/4) + 1
n = ( 144/4 ) + 1
n = 36 + 1
n = 37
Now, using the common difference between terms the sun will be;
S = 15 + 11 + 7 . . . -125 -129
Also
S = -129 -125 . . . + 7 + 11 + 15
We add
2S = -114, 114, 114 . . . . n
Hence, the sum will be;
2S = ( -114 ) × n
2S = ( -114 ) × 37
2S = -5328
S = -5328 / 2
S = -2664
Therefore, using Gauss's method, the sum of the numbers in the series [ 15 11 7 . . . (–129) ] is -2664.
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The length of one side of an ice cube is 2.5 cm. Calculate the volume of the ice cube.
Answer:
15.63 cm^3
Step-by-step explanation:
Assuming that the ice cube is a perfect cube, then all of the sides are equal. There for, each side is 2.5 cm.
v = l*w*h
v = 2.5 * 2.5 * 2.5
v = 6.25 * 2.5
v = 15.625 cm^3
State the equation of a line perpendicular to y = -3 going through (-5, -3).
Answer:
x=-5
Step-by-step explanation:
Answer:
Equation of the perpendicular line is x = -5
Step-by-step explanation:
The equation of the given line is y =-3
This means that the given line is parallel to the x axis. Imagine a horizontal line and for all values of x, the y value is constant -3. So the line perpendicular to this line would be one that is parallel to the Y axis. Imagine a vertical line. This line would have the same x value for all values of Y. Equation would be of the form
x = constant.
It is given that the line passes through (-5, -3), from which we get that constant value as -5.
Equation of the perpendicular line is x = -5
PLEASE SOMEBODY HELP! I’ve been stuck on this question for nearly 5 hours because I literally have no idea what to do somebody please help
Answer:
Well We need to get rid of 1200 mb so your estimated guess would be to delete~2523~ photos If i get this wrong Im very sorry.
Step-by-step explanation:
What best describes arc ZMF? ARC TFM and ARC TZ? I have no clue which is which.
1. Major Arc
2. Semicircle
3. Minor Arc
What is minor arc?An arc whose measure is less than 180 degrees is called a minor arc.
What is major arc?An arc whose measure is greater than 180 degrees is called a major arc.
What is semicircle?An arc whose measure equals 180 degrees is called a semicircle, since it divides the circle in two.
1. The arc ZMF defines a major arc as the measure is more than 180.
2. Arc TFM defines semicircle as it measure 180 degrees.
2. Arc TZ defines a minor arc as the measure is less than 180.
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2특
5
5) What is 2 and 5/7as an improper fraction?
17
a) 15
a
b) 3
b
c) 15
5
d)
A solid is cut by a plane that is parallel to its base, forming a two-dimensional cross section in the shape of a square. Which of the following solids could have resulted in that cross section?
Answer:
It's A.
Step-by-step explanation:
This is because the cross section of the shape is a square, which is why it is A.
can you pls help me, i need it
according to the topic
5000+1400+1700+2200-5000×80%+1200
=55300-4000+1200
=$52500
Thus we choose option B
B.$52,500
Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin
The standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin and directrix is y² = 16x.
What is the parabola?It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
Given that the parabola's vertex is located at the origin and that the directrix is at x = -4, the focus is at (4,0).
Then the equation can be written as
[tex]\rm \sqrt{(x-4)^2 +(y-0)^2} = \sqrt{(x+4)^2 + (y-y)^2}\\\\\sqrt{(x-4)^2 +(y-0)^2} = \sqrt{(x+4)^2}[/tex]
On squaring both sides, we have
[tex]\begin{aligned} (x-4)^2 +(y-0)^2 &= (x+4)^2 \\\\x^2 + 16 - 8x +y^2 &= x^2 + 16 + 8x\\\\y^2 &= 16x \end{aligned}[/tex]
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Eric is painting & wooden cylinders. Each cylinder has a radius of 6.2 inches and a
height of 12.4 inches. Eric can paint 50 square inches of wood using one pint of paint.
How much paint will Eric need to paint all the wooden cylinders?
This is easy answer this and you will get points!!love you guys
Answer:
4. 56 is 8 times as many as 7.
56 = 8 x 7
5. 6, 12, 18, 24, and 30
6. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
Hope this helps!
Hey there!
SIMPLIFYING #4
Question reads….
“56 is _____ times as many as _____”
~ The factors of 56 is/are
• 1, 2, 4, 7, 8, 14, 28, & 56
~ The factor pairs of 56 is/are
• 1 × 56 = 56
• 2 × 28 = 56
• 4 × 14 = 56
• 7 × 8 = 56
~ So, for the FIRST portion we can day
“56 is _2_ times as many as _28_”
(or you could choose any numbers from your factoring pair !)
SIMPLIFYING #5
Question reads….
“List the first five multiples of 6”
~ Meaning of multiples
• Multiples is any number that can be divided EVENLY without any remainders.
~So, the first five multiples are….
• 6, 12, 18, 24, & 30
SIMPLIFYING #6
Question reads….
“Name all the factors of 72”
~ Meaning of factoring/factor
• Factoring is another name for factorizing/factorization. It is basically a number that when you’re multiplying with another number that produces a number or expression
~ So, the factors of 72 is/are….
• 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 , & 72
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A line passes through the points (3,0) and (4,2). What is its equation in slope-intercept form?
Answer:
y = 2x - 6
Step-by-step explanation:
Slope intercept form:Equation of the line:
[tex]\sf \boxed{ y = mx +b}[/tex]
Here m is the slope and b is the y-intercept.
Step 1: Find the slope
(3 , 0) ⇒ x₁ = 3 & y₁ = 0
(4 , 2) ⇒ x₂ = 4 & y₂ = 2
[tex]\sf \boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf = \dfrac{2 -0}{4-3}\\\\= \dfrac{2}{1}\\\\=2[/tex]
m = 2Step2: Now, substitute the value of 'm' in the equation.
y = 2x + b
Step3: In the above equation plug in any point. Here, (3 ,0) is chosed.
0 = 2*3 + b
0 = 6 + b
-6 = b
b = -6Step4: Equation of the line:
y = 2x - 6
A square table has a perimeter of 20 feet. What is its area?
Answer:
25 feet squared :)
Step-by-step explanation:
20/4 = 5
5^2 = 25
Help me please
Trina invests $ 16000 at a rate of 5% per year interest. Work out the value of her investment at the end of a year.
Answer:
$ 16800
Step-by-step explanation:
Simple Interest Value = Principal × Interest Rate × Time
0.05 × 16000 × 1 = $ 800
(Money invested + Interest = Total money in the account)
16000 + 800 = 16800
Trivia's Bank account will have $16800 at the end of one year.
The width of a rectangle measures (36 + 5) centimeters, and its length measures
(86 + 6) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
Answer:
Step-by-step explanation:
36+5=41
86+6=92
41*2=82
92*2=184
82+184=266
Find the midpoint of the 2 coordinates (0,5) and (4,17)
Answer:
(2, 11)
Step-by-step explanation:
Using the information you were give, plug it into this formula:
(x₁ + x₂)/2, (y₁ + y₂)/2
This should give you a new coordinate.
Which statements are true for the given geometric sequence? Check all that apply.
The domain is the set of natural numbers.
The range is the set of natural numbers.
The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4.
An explicit formula representing the sequence is
f(x) = 4(three-halves) Superscript x
The sequence shows exponential growth.
The statements are true for the given geometric sequence.
The domain is the set of natural numbers.
The recursive formula representing the sequence is f(x + 1) = 3/2(f(x )) when f(1) = 4.
The sequence shows exponential growth.
We have given the graph.
What is the geometric sequence?
A geometric sequence is a sequence in which the ratio of every two successive terms is a constant.
The graph is given below we can see that
The domain is the set of natural numbers.
The recursive formula representing the sequence is
f(x + 1) = 3/2(f(x )) when f(1) = 4.
The given graph grows exponentially.
The sequence shows exponential growth
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Answer:
a, c, e
The domain is the set of natural numbers.
The recursive formula representing the sequence is f(x+1) = Three-halves(f(x)) when f(1) = 4
The sequence shows exponential growth.
Step-by-step explanation:
Goblin gryh can count the coins in a bag in 10 minutes. of goblin Birt counts with him, they can count all the coins in 6 minutes. How long would it take goblin Birt to count the coins in the bag by himself?
Answer:
pagpalit og pandesal og kopiko didto sa bakery
Goblin Birt can take 15 minutes to count the coins in the bag by himself.
What is unitary mehtod?The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.
How to calculate how long would it take goblin Birt to count the coins in the bag by himself ?In this problem, unitary method is to be applied three times.Here, counting all the coins is considered as the entire work which is considered as 1.According to the problem,
Goblin gryh can count the coins in a bag in 10 minutes.∴ In 10 minutes Goblin gryh can count the coins in the bag.
∴ In 1 minute Goblin gryh can count [tex]\frac{1}{10}[/tex] th part of the coins in the bag.
Again, according to the problem,
Goblin gryh and Goblin Birt both can count all the coins in 6 minutes.∴ In 6 minutes, Goblin gryh and Goblin Birt both can count all the coins in the bag
∴ In 1 minute, Goblin gryh and goblin Birt both can count [tex]\frac{1}{6}[/tex] th part of the coins in the bag.
∴ In 1 minute, Goblin Birt can count [tex](\frac{1}{6} - \frac{1}{10})[/tex] th part of the coins in the bag.
= [tex]\frac{5-3}{30} = \frac{2}{30} = \frac{1}{15}[/tex] th part of the coins.
∴ We can say,
Goblin Birt can count [tex]\frac{1}{15}[/tex] th part of the coins in the bag in 1 minute.
∴ Goblin Birt himself can count all the coins in the bag in 15 minutes.
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Beatrice has $0.28 in her pocket. what is the percent that she has
Answer:
she has 28% of a dolar in her pocket
Step-by-step explanation:
helppp need answers asap
The number of cookies baked by Tanya in 12 batches of 18 cookies per batch including 70 cookies of Monday is 286.
What is mathematical model or function?A mathematical model or function is the model which is used to explain any system, the effect of the components by study and estimate the functions of systems.
The total number of cookies made by Tania on the Monday is 70 and want to make more than this on Tuesday.
The capacity of the pan is to cook 18 cookies per batch. The function she used to predict the number of cookies is,
y=70+18(x)
Here, x is the number of batches.
The cookies baked by her in 12 batches,
y=70+18(x)
y=70+18(12)
y=286.
Thus, the number of cookies baked by Tanya in 12 batches of 18 cookies per batch including 70 cookies of Monday is 286.
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what is the projected population for 2015
Answer:
the answer is b
Step-by-step explanation:
ive did it before
3. Write the polynomial function with the given degree and zeros. Degree: 8 zeros: 7 multiplicity 2
Step-by-step explanation:
I think answer is 14 please give me a brain list
Please hurry!A flagpole casts a shadow that is 28 fery long. At the same time,a stick that is 2 feet tall casts a shadow that is 3.5 feet long how tall is the flagpole?
Answer - The flagpole is 16 feet tall.
Explanation -
2/3.5 =1.75
1.75x16 =28
so i have this question this math problem is: James works in a factory and wraps 8 packages every hour. How many hours will it take James to wrap 3,736 packages THIS IS CONFUSING someone help
Answer:
467 hours.
Step-by-step explanation:
3736 / 8
= 467.
7. Solve the equation 2x + 4 = 9. Explain the
and properties you used.
