Answer:
Differentiation is used to break down the function into parts, and integration is used to unite those parts to form the original function. Geometrically the differentiation and integration formula is used to find the slope of a curve, and the area under the curve respectively.
Answer:
integration is the opposite of differentiation
Step-by-step explanation:
integration requires addition of 1 to the power and then division by the value eg
the integral of
[tex]{x}^{2} = \frac{ {x}^{2 + 1} }{2 + 1} \\ = \frac{ {x}^{3} }{3} [/tex]
while in differentiation, u subtract one and multiply by the value. eg
the differential of
[tex] \frac{ {x}^{3} }{3} = 3( \frac{ {x}^{3 - 1} }{3} ) \\ = 3( \frac{ {x}^{2} }{3} ) \\ = {x}^{2} [/tex]
what do i do for the 2 boxes circled in purple? help!
Simplify 4 to the seventh power over 5 squared all raised to the third power . (4 points)
a
4 to the tenth power over 5 to the fifth power
b
4 to the fourth power over 5
c
4 to the twenty-first power over 5 to the sixth power
d
12 to the seventh power over 15 squared
Answer: The answer is C, 4 to the 21st over 5 to the 6th power.
3. Use proportional reasoning to answer the following question.
When buying an item, discount is always taken off
before applying tax. How much does a $1200
phone cost with a 35% discount and 10% tax?
Answer:
5000
Step-by-step explanation:
I took the test so that's how I know
2 2/7 multiplied by 5 1/6
Answer:
11 17/21
Step-by-step explanation:
Answer:
11 17/21
Step-by-step explanation:hope i helped
Examine the figure. What is the measure of angle b?
Answer:
b =146
Step-by-step explanation:
34 and b form a straight line so they add to 180
b+34 = 180
b = 180-34
b =146
Help a brother out.ill give brainlist
[tex]\text{a. cm}^2\\\\\text{b. cm}^3\\\\\text{c. cm}\\\\\text{d. cm}^2\\\\\text{e. cm}^3\\[/tex]
Given f(1) = 8 and
f(n) = 3 f(n-1) - 2 then f (4) =
Answer:
190
Step-by-step explanation:
f(1)=8
f(2)=3f((2-1))-2, f(2)=22
f(3)=3f((3-1))-2, f(3)=64
f(4)=3f((4-1))-2, f(4)=190
What is the perimeter of the triangle?
Answer:
L1 + L2 + L3 = perimeter
Step-by-step explanation:
You add each side of the triangle together.
Answer:
L1+L2+L3
Step-by-step explanation:
You add all the sides of the triangle to get the perimeter
Which algebraic function has a smaller rate of change than the equation?
f(x)=2x−9
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Pythagorean theorem )
Step-by-step explanation:
The Pythagorean theorem is:
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
where c is the hypotenuse.
The two wires in the sketch are the hypotenuse so we just use the formula
let the wires=x
So:
[tex] {x}^{2} = {12}^{2} + {6}^{2} [/tex]
[tex] {x}^{2} = 144 + 36[/tex]
[tex] {x}^{2} = 180[/tex]
[tex]x = \sqrt{180} [/tex]
[tex]x = 13.42[/tex] feet
Points E, D, and H are the midpoints of the sides of ΔTUV. UV=82, TV=106, and HD= 82. Find HE.
Answer:
41
Step-by-step explanation:
53/106 = x/82 similar triangles
x=41
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
Copy an angle is the best solution with compass and straight edge.
A Quadrilateral ABCD is rotated 55° about point R to create quadrilateral A' B'C'D'. QUICK. PLEASE
Answer:
2.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
2.8 units
If the first 5 terms of an infinite geometric sequence are 100, 60, 36, 21.6, and 12.96, then the sum of all the terms in the sequence is ______
Answer:
Step-by-step explanation:
r=60/100=0.6<1
[tex]S_{\infty} =\frac{a}{1-r} \\=\frac{100}{1-0.6} \\=\frac{100}{0.4} \\=\frac{1000}{4} \\=250[/tex]
4(1.75y − 3.5) + 1.25y
Hello there
This is a simple algebra problem, that we will be solving...
First let's use [tex]PEMDAS[/tex], and [tex]DISTRIBUTIVE\:PROPERTY[/tex]
______________
[tex]{\huge{\boxed{\mathbb{PEMDAS}}}[/tex]
Parenthesis Exponents Multiplication or Division Addition or Subtraction______________
[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}[/tex]
Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
______________
[tex]4(1.75y-3.5)+1.25y[/tex], first distribute...
[tex]7y-14+1.25y[/tex], combine like terms, and we get [tex]8.25y-14[/tex] as our answer
Bidmass working out questions
Answer:
2nd one
Step-by-step explanation:
i think(10+2)^2_4*11=100 in my opinion
Lucas is having yogurt and an apple for a snack. There are five containers of yogurt in the refrigerator three
are raspberry, one is vanilla, and one is peach. There are also two green apples and three red apples.
If he reaches into the refrigerator to get a yogurt without looking, what is the probability that Lucas wis
choose a raspberry yogurt?
Answer:
His probability of getting a raspberry yogurt is 3/5 or 60%.
Step-by-step explanation:
Pls mark brainliest.
When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?
Multiply each side by negative one over five, add 25 to each side
Multiply each side by 5, subtract 25 from each side
Multiply each side by negative one over five, subtract 25 from each side
Multiply each side by −5, add 25 to each side
Answer:
Multiply each side by −5, add 25 to each side.
Step-by-step explanation:
Graph the solution to the system
-x+y>2
X+2y>2
Answer:
[tex]\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}[/tex]
Step-by-step explanation:
Step 1: Solve the system of equations
[tex]\begin{bmatrix}-x+y>2\\ x+2y>2\end{bmatrix}[/tex]
Isolate [tex]y[/tex] for [tex]-x+y>2[/tex]
[tex]\mathrm{Add\:}x\mathrm{\:to\:both\:sides}[/tex]
[tex]-x+y+x>2+x[/tex]
[tex]y>2+x[/tex]
Isolate [tex]y[/tex] for [tex]x+2y>2[/tex]
[tex]\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}[/tex]
[tex]2y>2-x[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2y}{2}>\frac{2}{2}-\frac{x}{2}[/tex]
[tex]y>\frac{2-x}{2}[/tex]
[tex]\bold{=\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}}[/tex]
Step 2: Graph
Instructions for graphing:
[tex]\mathrm{1.\:Graph\:each\:inequality\:separately.}[/tex]
[tex]\mathrm{2.\:Choose\:a\:test\:point\:to\:determine\:which\:side\:of\:the\:line\:needs\:to\:be\:shaded.}[/tex]
[tex]3. \mathrm{The\:solution\:to\:the\:system\:will\:be\:the\:area\:where\:the\:shadings\:}\\\mathrm{from\:each\:inequality\:overlap\:one\:another.}[/tex]
When done, it should look like this:
Your classmate is telling you how they plan to become financially secure.
Which of the following factors can help him do so?
A saving money
B investing money
C both saving and investing money
D neither saving nor investing money
Answer:
savind and investing money
Which is equivalent to vg*
Og
O 78%
12784
8 4x
Answer:
(c) (12th root of 8)^x
Step-by-step explanation:
The applicable rules of exponents are ...
[tex](a^b)^c=a^{bc}\\\\\sqrt[n]{a}=a^{1 \! /n}[/tex]
In this case, we have ...
[tex](\sqrt[3]{8})^{x/4}=8^{1/3\cdot x/4}=8^{x/12}=\boxed{\left(\!\sqrt[12]{8}\right)^x}[/tex]
What is the conjugate?
a - square root of a - 1
The conjugate of the expression a - square root of a - 1 is given as follows:
a + square root of a - 1
How to obtain the conjugate of an expression?The conjugate of an expression is obtained for an expression that has two terms.
For the conjugate, we have that:
The signal of the first term is kept.The signal of the second term is inverted.The expression is given as follows:
a - square root of a - 1
The parameters are given as follows:
First term of a.Second term of square root (a - 1).Inverting the - sign to a + sign, the conjugate expression is given as follows:
a + square root of a - 1
More can be learned about the conjugate of a expression at https://brainly.com/question/1584140
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Which expression is NOT equivalent to the others?
14^2 x 12^2 x 12^1
14^2 x 12^3
14 x 14 x 12 x 12 x 12
14^1 x 14^1x 12^2 + 12^1
What is:
-24 - (-64)
Answer:
40
Step-by-step explanation:
Calculator.
Answer:
your answer should equal to 40
Step-by-step explanation:
hope its right!
what is 1*1000000*5*6/3*1757/4*45567-4-6-8*5846584*0+1+2+3+4+5+6+7+8+9+10
Answer:
2.0015305e+15 is the answer
1 A polynomial expression of degree three is shown below.
8x3 + 125
Which expression represents the correct factorization of the polynomial?
A (2x + 5)(4x2 + 10x + 25)
B (2x + 5)(4x2 + 10x - 25)
C (2x + 5)(4x2 - 10x + 25)
D (4x + 25)(2x2 - 10x + 5)
Answer:
D şıkkı iyi dersler hadi
Answer:
C: [tex](2x+5)(4x^2-10x+25)[/tex]
Step-by-step explanation:
First of all, you need to be able to recognize the two terms as cubes, and what they are cubes of. In this case, [tex]8x^3 = (2x)^3[/tex] and [tex]125=5^3[/tex].
Then you have to find a way you like to remember the formula for how to factorize. The way I do it is by saying "the binomial has the same zero as the original, so [tex]x^3+a^3=(x+a)(...)[/tex] and [tex]x^3-a^3 = (x-a)(...)[/tex] and the whole expression has one minus sign attached to the second term of either factor. In the sum of cubes first parenthesis has a plus, so the second term of the other parentesis has to take that minus: [tex]x^3+a^3=(x+a)(x^2-ax+a^2)[/tex] while in the difference of cubes you already used a minus, so everything else goes plus: [tex]x^3-a^3=(x-a)(x^2+ax+a^2)[/tex]
Or you commit the two formulas to memory.
QUESTION 13 PLEASE HELP ME ASAPP
Answer:
option 1 is the best choice
Step-by-step explanation:
for every 5 minutes, the number of toys increases by 2.
Find an equation of the plane through (-1,4,-3) and perpendicular to the line x-2=t , y+3=t , z=-t
Answer:
x + y -z = 6
Step-by-step explanation:
The equation of the line can be rewritten as ...
(x, y, z) = (2, -3, 0) +t(1, 1, -1)
The direction vector of the line tells you the coefficients of the variables in the equation of the plane. The constant in that plane equation will be the value required to make it pass through the given point.
x + y - z = (-1) +(4) -(-3)
x + y - z = 6 . . . . equation of the plane
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee. If her coffee pot holds 8 cups, how many fluid ounces does she have left?
Answer:
4 fluid ounces
Step-by-step explanation:
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee. If her coffee pot holds 8 cups, how many fluid ounces does she have left?
Remember
8 fluid ounces = 1 cup.
First you need to do find out how many fluid ounces she poured in total.
So do,
5 mugs × 12 fluid ounces.
which is 60 fluid ounces.
Now that you now that you need to convert 8 cups into fluid ounces.
Like I said at the top 8 fluid ounces = 1 cup.
So you need to do,
8 cups × 8 fluid ounces.
Which is 64 fluid ounces she can hold in her coffee pot.
Now you subtract,
64 fluid ounces - 60 fluid ounces.
Which is 4 fluid ounces left in her coffee pot.
The number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee.
Let x be the number of fluid ounces she has left.
4 fluid ounces
As we know,
8 fluid ounces = 1 cup
The total amount of coffee = 5×12
The total amount of coffee = 60
Total amount = 8 cups × 8 fluid ounces.
x = 64 fluid ounces - 60 fluid ounces.
x = 4 fluid ounces
Thus, the number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.
Learn more about the unit conversion here:
brainly.com/question/14350438
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There are eight swans swimming on a pond and four of those swans are
black. What fraction of the swans are black?
Answer: A. (4/8)
Step-by-step explanation: If there is 4 black swans and 8 swans in total you could see it's 4 black swan out of 8 total swans. You could do
8/8 - 4/8 = 4/8 to find out the answer too.