Answer:
6x -14
Step-by-step explanation:
x^3-7x^2+36
Take the first derivative
3x^2 -14x
Now take the derivative again
6x -14
Answer:
6x - 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
f(x) = x³ - 7x² + 36
Step 2: Differentiate
Basic Power Rule: f'(x) = 3x³⁻¹ - 2 · 7x²⁻¹ + 0Simplify: f'(x) = 3x² - 14xBasic Power Rule: f''(x) = 2 · 3x²⁻¹ - 1 · 14x¹⁻¹Simplify: f''(x) = 6x - 14Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest did he pay?
London is going to invest $8.8oo and leave it in an account for 10 years.
Assuming the interest is compounded continuously, what interest rate, to the
nearest hundredth of a percent, would be required in order for London to
end up with $13.400?
Answer:
k = 0.04205029854
k = 4.205029854%
Step-by-step explanation:
13400 = 8800(e)^10(k)
ln 1.52 = 10k ln e
(ln 1.52)/ 10 = k
Answer:
The interest rate would be 4.21%
Type the correct answer in each box. Use numerals instead of words. If necessary, use/for the fraction bar. Consider the given table.
Answer:
The ? represents the number 38 because the average rate of change on every interval of the function is 3
Step-by-step explanation:
Firstly, we calculate the average rate of change over a function can be calculated using the formula below;
f(b) -f(a)/(b-a)
Now, over the interval [-2,2]
we have;
(17-5)/(2/(-2)) = 12/4 = 3
This is expected to be the blanket average rate of change
Thus, we have it that over the interval [5,9]; we have;
3 = f(b) - 26/9-5
3 = f(b) - 26/4
4(3) = f(b) - 26
12 = f(b) - 26
f(b) = 12 + 26
f(b) = 38
The manager of a home store is buying lawn
chairs to sell at his store. Each pack of chairs
contains 10 chairs. The manager will sell each
chair at a markup of 20% of the wholesale
cost, plus a $2.50 stocking fee.
Answer:
5$
Step-by-step explanation:
Amber walked 9 miles and 3 hours at this rate how far will she walk in 3 hours
Answer:
She will have walked a total of 18 miles in another 3 hours, but in just 3 hours, we already know she walked 9 miles in 3 hours.
Step-by-step explanation:
9x2=18
on square bcde if e is located at (4,-9) and d is located at (10,-5) find the perimeter of the square
Answer:
8[tex]\sqrt{13}[/tex] unitsStep-by-step explanation:
We know that:
P = 4aWe can find one side by distance formula:
a = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]a = [tex]\sqrt{(10 - 4)^2+(-5+9)^2} = \sqrt{36+16} = \sqrt{52} = 2\sqrt{13}[/tex]Then the perimeter is:
P = 4*2[tex]\sqrt{13}[/tex] = 8[tex]\sqrt{13}[/tex] unitsIn triangle ABC, A = 38° and B = C. Find B.
A)71
B)26
C)142
Answer:
A) because b=c it is an equlateral triangle.
The interior Angles of a triangle is always equal to 180 .
Therefore 180-38 =142
because B=C
142÷2 =71
What is 2√54 + 5√24 in simplified radical form?
Enter your answer.
Please explain. :)
I really hope this question doesn’t get removed again or please tell me why it got removed.
[tex]2\sqrt{5}\cdot \:4+5\sqrt{2}\cdot \:4[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:4=8[/tex]
[tex]=8\sqrt{5}+5\cdot \:4\sqrt{2}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:4=20[/tex]
[tex]=8\sqrt{5}+20\sqrt{2}[/tex]
[tex]Answer = =8\sqrt{5}+20\sqrt{2}[/tex]
Answer:
21√6
Step-by-step explanation:
Here we are to combine 2√54 and 5√24, and want to find any factor that these two quantities may have in common.
2√54 can be factored: 2√54 = 2√9√6, or 2[√6√9], or 6√6
Similarly, 5√24 =5√6√9, or 15[√6]
These two results can and should be added together: 7*3√6 = 21√6
help please hurryyyy!!! help pls hurry
Answer:
3 is 18
4 is 14
5 is 10
6 is 6
I hope this helps
You gave one third of a pan of brownies to Sally and one sixth to Fletcher. What fraction of the pan of brownies remained? Write your answer as a proper fraction.
Answer:3/6
Step-by-step explanation:
1/3 is 2/6,
2/6 + 1/6= 3/6(obviously)
Help plz..And No links!! I repeat No links!!
Answer:
From the Table...
Seems Dear Emma saw 4 plums.
The second of the three numbers is 4 times the first the third is 2 more than the second. If the second number is decreased by twice the third the result is 28 what are the three numbers
Answer:
the three numbers = -8, -32, -30
Step-by-step explanation:
let the first number = a
let the second number = b
let the third number = c
From the first statement: b = 4a
From the second statement: c = b + 2
From the third statement: b - 2c = 28
From the above equations, we can solve (1) and (2) together.
c = b + 2
b = c - 2
Also, b - 2c = 28
(c - 2) - 2c = 28
c - 2 - 2c = 28
-c = 30
c = -30
b = -30 - 2
= -32
b = 4a
a = b/4
a = -32/4
a = -8
Therefore, the three numbers = -8, -32, -30
first 5 terms in a number sequence
0.5 1 2 4 8
A) write down the term to term rule
b) 7th term of sequence
c) why cant 1527 be a term of the sequence
Answer:
Here we have the sequence:
0.5, 1, 2, 4, 8,...
A) we want to write the term to term rule.
We can see that each term is twice the one before, like:
2*0.5 = 1
2*1 = 2
2*2 = 4
2*4 = 8
etc.
So the term to term rule is just:
n-th term equals twice the previous term, or:
[tex]A_n = 2*A_{n-1}[/tex]
b) We can just construct the 7th term with the known ones:
We know that:
A₅ = 8
A₆ = 2*A₅ = 2*8 = 16
A₇ = 2*A₆ = 2*16 = 32
A₇ = 32
c) As each term in our sequence (unless for the first two ones) is a multiple of 2, we know that no odd number can be a term of this sequence.
1527 is an odd number, so this number can not be in the sequence.
Helppppppppppppppppppppppppppppp!!!!!!!!!
Answer:
1. Yes
2.i don't know sorry
3. no
4. no
Step-by-step explanation:
1. it is a terminating decimal
2. I don't know sorry
3.it is a repeating decimal
4.itis a repeating decimal
PLEASE HELP THIS IS THE LAST ONE!!!!!
Answer:
27%
Step-by-step explanation:
There are 60 cars. 16/60 is 27 percent rounded.
I also need help with this one
the right one is correct
Answer:
2nd option, it would look like the 2nd option
Step-by-step explanation:
Line A and Line B are
perpendicular lines.
If the slope of Line
A is 4/5, what is
the slope of Line B?
Answer:
C
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] ← slope of line B
Put a check by all the prime numbers.
A)6
B)7
C)10
D)11
E)20
F)25
or none of the above
PICK HOW MANY U WANT JUST GIVE ME THE RIGHT ANSWER!
Answer:
7 and 11
Explanation:
Prime numbers are numbers that have only 2 factors; one and themselves.
Hope this helps!
Answer:
Only 7 and 11 are prime.
Step-by-step explanation:
prime numbers are numbers whose factors are only one and them selves
Can somebody help me
Explain how to use a graph of the function f(x) to
find f(3).
The number in parentheses (3) is the x value. Look at the graph and what the y value of the line is at x = 3
Dont answer this ever
Finding the volume of the sphere
Answer:
16
Step-by-step explanation:
correct me if im wrong
if iam right follow me heart this answer
carry on learning
yourhelpinghandishereforyou
Answer:
V≈2144.66058
Step-by-step explanation:
V=(4/3)(π)r^3
V=(4/3)(π)(8)^3
V≈2144.66058
Find the product of (x-2) and (3x^2-4x-5)
Answer:
3x³ - 10x² + 3x + 10
Step-by-step explanation:
multiply 'x' by each term in the second expression:
(x-2)(3x²-4x-5) = 3x³ -4x² - 5x
now multiply '-2' by each term in the second expression:
-6x² + 8x + 10
combine 'like' terms: -4x² + (-6x²) to get -10x²
combine 'like' terms: 8x - 5x = 3x
answer: 3x³ - 10x² + 3x + 10
You pick a card at random.
6 7 8 9
What is P(9)?
Write your answer as a fraction or whole number?
Answer:
1/4
Step-by-step explanation:
There are 4 cards
P(9) = number of 9's / total cards
= 1/4
Assuming there are only four cards, and each card has the number from the list given, the value of P(9) is 1/4. This is because there is one card we want out of 4 total.
Answer: 1/4Show that the sum of the measures of the external angles of any polygon is 360°. [ HINT:- Draw three different polygons like a triangle, quadrilateral, pentagon. Extend each side, then measure the exterior angles from there. Finally, find the sum of measures of all exterior angles of each polygon.]
basically get a shape
eg we will work with triangles,, add angles to the inside,, ensuring they add up to 180 (because angles in a triangle add up to 180)
now that we have the angles,, extend each side with a line to show the exterior angles.
we know that angles on a line add up to 180,, so to find the external angle,, we can use our internal angle
you would use:
[ 180- internal angle]
do this for all external angles
add all your answers together,, should equal to 180
Use the Pythagorean theorem to find the missing length in the right triangle
Answer:
Hi, there your answer is 25
Step-by-step explanation:
Here's the Pythagorean Theorem formula [tex]a^{2} +b^{2}=c^{2}[/tex]
[tex]7^{2}+24^{2}[/tex]=[tex]c^{2}[/tex]
49+576=[tex]c^{2}[/tex]
625=[tex]c^{2}[/tex]
[tex]\sqrt{625}=c^{2}[/tex]
[tex]25=c[/tex]
Hope this helps :)
Abby can buy an 4-pound bag of dog food for $4.08 or a 9-pound bag of the same dog food for $6.93. Which is the better buy?
Answer:
$6.93. Because it's 9 pounds and it lasts longer.
Step-by-step explanation:
Factorise
4a(3a-b)+2b(3a-b)
Answer:
moi moi on that beat
Step-by-step explanation:
click this link for more information
https://genius.com/Rick-astley-never-gonna-give-you-up-lyrics
Need help with this math urgently
Answer:
(2,5)
Step-by-step explanation:
y= 4x-3
y=-2x+9
-------------------------
4x-3=-2x+9
6x-3=9
6x=12
x=2
-----------------
y = 4(2)-3
y =8 -3
y=5
(2,5)
Answer:
1st box: 6x - 3 = 9
2nd box: 6x = 12
3rd box: x = 2
4th box: y = 4(2) - 3
5th box: y = 8 - 3
6th box: y = 5
Step-by-step explanation:
Part A-
1) 4x-3 = -2x+9
2) 4x+2x -3 = -2x+2x + 9
3) 6x -3 = 9
4) 6x -3+3 = 9+3
5) 6x = 12
6) 6x/6 = 12/6
7) x = 2
Part B-
1) y=4x-3
2) y=4(2)-3
3) y=8-3
4) y= 5
Therefore, x = 2 and y = 5.
Uh, I think I did this one… good luck ;p
Plzz help ill make u brainliest
Matt and Mindy each built a rectangular prism that has a length of 5 units, a width of 2 units, and a height of 4 units. Matt used cubes that are 1 cm on each side. Mindy used cubes that are 1 in on each side. What is the volume of each prism?
Answer:
Matt’s: 40 cm = 15.748 inches
Mindy’s: 40 in = 101.6 centimeters
Answer:
The volume is 40 cubed inches
Step-by-step explanation:
The prism that Matt built is 5 cm by 2 cm by 4 cm
5 ⋅ 2 ⋅ 4 = 40
The volume is 40 cubed centimeters
The prism that Mindy built is 5 in by 2 in by 4 in
5 ⋅ 2 ⋅ 4 = 40
The volume is 40 cubed inches