Answer:
a) The quotient rule is:
if: f(x) = 1/g(x)
Then:
[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]
In this case, we have:
G(x) = 1/x
Then we can write this as:
G(x) = 1/h(x) with h(x) = x, and h'(x) = 1
Using the above rule we get:
G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2
b) For a function like:
f(x) = x^n
we have that:
[tex]f'(x) = n*x^{n - 1}[/tex]
Here we can write G(x) = x^-1
Then we have n = -1
If we use the above rule, we get:
[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]
So we got the same result using both methods.
what is the sign of -8+8
it is 0
there is no sign to -8 + 8
Answer:
Your answer would be 0
Step-by-step explanation:
if you were asking a question like, 8+8 your answer would be, 16. Correct me if I'm wrong. ☆
Ferris wheel diameter was 250 feet. Calculate it’s radius. If 40 steel rods were joined at the centre find the total steel required?
Answer:
785.5ft
Step-by-step explanation:
Given data
Diameter= 250ft
Radius= D/2= 250/2= 125ft
The total steel required can be found from the Circumference
C= 2πr
C= 2*3.142*125
C= 785.5ft
Hence the total steel required is 785.5ft
Maya invests $3,500 into an ETF which earns 7% per year. In
30 years, how much will Maya's investment be worth if
interest is compounded semiannually (twice a year)? Round to
the nearest dollar.
Pleaseeee help #10 Which table below describes a linear function?
7 points
y
o
o
o
O
A
1
1
1
2
4
16
4
8
9
81
9
18
у
y
0
0
0
B
1
3
D
1
2
W
4
9
4
4
9
20
9
Ο Α
OB
Ос
Oo
Answer:a
Step-by-step explanation:
your resturaunt bill is 42$ you want to leave a 15% tip, what should the tip be
Answer:
$6.30
Step-by-step explanation:
Answer:
The tip should be $6.30
Step-by-step explanation:
We can find 15 percent of 42$ by multiplying 42 by 0.15 (this is another way of writing down 15%) and so we get...
(42)(0.15) = 6.3
Therefore the tip should be $6.30
Find the value of x.
a) 80
b) 90
c) 45
d) 60
Answer:
b
Step-by-step explanation:
The tangent- tangent angle x is half the difference of its intercepted arcs.
Th sum of the arcs in a circle = 360°
major arc = 360° - 90° = 270° , then
x = [tex]\frac{1}{2}[/tex] (270 - 90)° = [tex]\frac{1}{2}[/tex] × 180° = 90° → b
the diameter is a circle is 16in. Find it’s circumference in terms of π.
C= ________in
According to the question,
Diameter of circle = 16 inWe are asked to calculate it’s circumference in terms of π.
★ Circumference of circle = 2πr
___________________________________
Let us first calculate the radius of the circle.
→ Diameter = 2 × Radius
→ 16 in = 2r
→ r = 16 in ÷ 2
→ r = 8 in
___________________________________
Substituting values in the formula of circumference,
→ C = 2πr
→ C = (2 × π × 8) in
→ C = 16π in
Therefore, 16π inches is the required answer.
HELP DUE IN 10 MINS!
Circle R is defined by the equation ( x - 3)2 + ( y - 5)2 = 4. Select all of the points that lie on circle R.
A. (3,5)
B. (5,5)
C. (3,3)
D. (1,5)
E. (-1,5)
F. (3,7)
Answer:
B. (5,5)
C. (3,3)
D. (1,5)
F. (3,7)
Step-by-step explanation:
The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
From this, we can find that the radius of the circle is [tex]\sqrt{4}=2[/tex] and the center of the circle is at [tex](3, 5)[/tex]. Therefore, the coordinates of all points exactly 2 units away from this center point will lie on the circle.
Out of all options given, the desired answers are:
B. (5,5)
C. (3,3)
D. (1,5)
F. (3,7)
if dy/dx = ysec^2(x) and y= 5 when x = 0, then y=?
А. e^tanx +4
B. e^tanx +5
C. 5e^tanx
D. tanx + 5
E. tanx + 5e^x
Answer:
C. [tex]\displaystyle y = 5e^{tan(x)}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
FunctionsFunction Notation|Absolute Values|Anything to the 0th power is 1Algebra II
Logarithms and Natural logsEuler's number eCalculus
Derivatives
Derivative Notation
Trig Derivatives
Differential Equations
Separation of variablesGeneral and particular solutionsAntiderivatives - Integration
Integration Constant C
Trig Integration
Logarithmic Integration
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \frac{dy}{dx} = ysec^2(x)[/tex]
x = 0, y = 5
Step 2: Rewrite Differential
Separation of variables
[Division Property of Equality] Isolate y terms together: [tex]\displaystyle \frac{1}{y}\frac{dy}{dx} = sec^2(x)[/tex][Multiplication Property of Equality] Isolate x terms together: [tex]\displaystyle \frac{1}{y}dy = sec^2(x)dx[/tex]Step 3: Find General Solution
[Equality Property] Integrate both sides: [tex]\displaystyle \int {\frac{1}{y}} \, dy = \int {sec^2(x)} \, dx[/tex][1st Integral] Integrate [Logarithmic Integration]: [tex]\displaystyle ln|y| = \int {sec^2(x)} \, dx[/tex][2nd Integral] Integrate [Trig Integration]: [tex]\displaystyle ln|y| = tan(x) + C[/tex][Equality Property] e both sides: [tex]\displaystyle e^{ln|y|} = e^{tan(x) + C}[/tex]Simplify: [tex]\displaystyle |y| = Ce^{tan(x)}[/tex]Rewrite: [tex]\displaystyle y = \pm Ce^{tan(x)}[/tex]Step 4: Find Particular Solution
Substitute in variables [Function]: [tex]\displaystyle |5| = Ce^{tan(0)}[/tex]Evaluate absolute value: [tex]\displaystyle 5 = Ce^{tan(0)}[/tex]Evaluate trig: [tex]\displaystyle 5 = Ce^0[/tex]Evaluate exponent: [tex]\displaystyle 5 = C(1)[/tex]Multiply: [tex]\displaystyle 5 = C[/tex]Rewrite: [tex]\displaystyle C =5[/tex]Substitute in C [General Solution]: [tex]\displaystyle y = 5e^{tan(x)}[/tex]∴ Our answer is C.
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differential Equations
Book: College Calculus 10e
I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!
Answer:
V = 3,367.6 cm³
Step-by-step explanation:
Diameter of sphere (D) = 18.6 cm
radius (r) = ½(18.6) = 9.3
π = 3.14
Formula for volume of a sphere = ⁴/3πr³
Plug in the values
V = ⁴/3 × 3.14 × 9.3³
V = ⁴/3 × 3.14 × 804.357
V = (4*3.14*804.357)/3
V = 3,367.57463
V = 3,367.6 cm³ (nearest tenth)
30 POINTS!!!!
HELP PLEASE!!!
Answer:
Step-by-step explanation:
Answer:
First Position: √22
Second Position: √19
Third Position: √21
Fourth Position: √18
Can someone help me out my grads are bad
Answer:
5/10 + 1/10 = 6/10 or if you simplify it 3/5
Step-by-step explanation:
1/2 = 5/10
1/10 = 1/10
5/10 + 1/10 = 6/10
6/10 = 3/5
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
1/2 + 1/10 = 5/10+ 1/10 = 3/5
Step-by-step explanation:
Find the LCD of 2 and 10 (10)
Add the two together (6/10)
Reduce (3/5)
Have a good day :)
Dylan wants to buy both the tablet and
the camcorder. How much will he pay
if he buys them during the sale?
Answer:
108$
Step-by-step explanation:
Evaluate:
26 (2n + 5) = [?]
Can someone please help me ASAP !
Answer:
it's 823 problem solved
Identity the slope and y intercept
Answer:
3,-2
Step-by-step explanation:
From the attached graph we need to find the slope and the y Intercept . The data that can beextracted from the graph is ,
The line passes through (0,3) and (1.5,0) .Hence the y Intercept here is 3 , since the graph cuts y axis at 3 units above the x axis.
Slope :-
→ m = 3 - 0 / 0 - 1.5
→ m = 3/-1.5
→ m = -2
• Hence the y Intercept is 3 and the slope is (-2) .The same data are graphed in each histogram, but with different intervals. Which histogram has the best interval to draw conclusions on the height of the shortest player? A bar graph titled Height of players has height in inches on the x-axis and players on the y-axis. 4 players have a height of 60 to 69 inches and 12 players have a height of 70 to 79 inches. A bar graph titled Height of players has height in inches on the x-axis and players on the y-axis. 2 players have a height of 60 to 64, 2 have a height of 65 to 69, 7 have a height of 70 to 74, 5 have a height of 75 to 79. A bar graph titled Height of players has height in inches on the x-axis and players on the y-axis. 1 player has a height of 60 to 63, 2 have a height of 64 to 67, 3 have a height of 68 to 71, 7 have a height of 72 to 75, and 3 have a height of 76 to 79.
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
ФФФФ↓↓∴Ф⊄⊄∠㏒㏑↑↑↑↑⇒⇒⇒⇒Δ≅√√βΔФ∉∴∨↓∈ЛБХаЩЪ
solve 3x by 4 - 2x+5 by 3 = 5 by 2
Answer:
50
Step-by-step explanation:
The given equation is,
→ 3x/4 - (2x + 5)/3 = 5/2
→ 3x × 3 - 4(2x +5)/12 = 5/2
→ 9x - 8x -20/12 = 5/2
→ (x - 20)/12 = 5/2
→ x - 20 / 6 = 5
→ x - 20 = 30
→ x = 20 + 30
→ x = 50
• Hence the value of x is 50 .Answer:
x=50
Step-by-step explanation:
Answer this question to get marked as brainliest!!!!
Answer:
7
Step-by-step explanation:
need help on math please
The length of missing leg is √40 = 6..32
Answer:
This one should match according to the pythagoras theorem
What is 3/5 • 6/5??
Answer:
0.72
Step-by-step explanation:
3/5 X 6/5 = 0.72
I’m really confused on how to write the range of inequality because it’s been a while. Can someone please help??
Answer:
y ≤ 0
Step-by-step explanation:
The arrow says that the function keep going down
the biggest y is 0
so we can write
y ≤ 0
Please help!!! T^T
Sarah buys 2 gallons of milk. There are approximately 3.875 liters in a gallon. How many milliliters of milk did Sarah buy?
Hello, I hope this helps!
Answer:
3.875 * 2
= 7,570.82 ml
Sarah bought 7,570 ml of milk
If 3 meters of a pinya cloth cost P200, how much will 9 meters of the same cloth cost? *
9 meters cost P600
Step-by-step explanation:
3×3 = 9
p200×3 =P600
5) The coordinates of A are (1, 0) and the coordinates of B are (2, 6), what are the coordinates of the midpoint of AB?
Answer:
The coordinate of the midpoint of AB is (1.5, 3).
Step-by-step explanation:
The midpoint of AB is the point that is the same distance between both points A and B. In order to find the midpoint, add the x and y values of points A and B respectively, and divide the sum by 2 to find the midpoint of AB. [tex]\frac{1+2}{2} = 1.5[/tex], so the x value of the midpoint is 1.5. [tex]\frac{0+6}{2} = 3[/tex], so the y value of the midpoint is 3. You'll get that the coordinate of the midpoint of AB is (1.5, 3).
There is a photo. No explanation needed just answer thank you
What is the probability of flipping a coin 85 times and getting tails 50 times or
fewer? Round your answer to the nearest tenth of a percent.
A. 33.2%
B. 0.4%
C. 95.9%
D. 99.8%
Answer:
C: 95.9%
Step-by-step explanation:
To find this, we shall be using the cumulative binomial probability calculator
As we know, the probability of getting a head or a tail in a throw of a coin is same with a value of 0.5
So, we want to find the probability of getting tails 50 times or fewer which means the probability of getting at most 50 tails
So we have the parameters as follows;
P( x ≤ 50)
n = number of trials = 85
p = probability of success = 0.5
r = number of success = 50
Using the parameters in the cumulative binomial probability calculator, we have the value as ;
0.9589 = 95.9%
Answer:
answering so the guy above gets brainliest
The order of numbers is not important in ____________ of rational numbers.
Answer:
addition?
Step-by-step explanation:
Which of the following can cause market failure?
too much mobility
too much competition
not enough information
too much information
Answer: C
Step-by-step explanation: not enough information
Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your
answer to the nearest tenth if necessary.
43
8
H Η
G
K
J
31
F
Answer:
[tex]5.8[/tex]
Step-by-step explanation:
Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:
[tex]\frac{31}{43}=\frac{\text{KI}}{8}[/tex]
Solving, we get:
[tex]\text{KI}=\frac{8\cdot 31}{43}\approx \boxed{5.8}[/tex]
help please help help help
Answer:
area = 32
perimeter = 30
Step-by-step explanation:
Formulas:
Area of a parallelogram: A = bh
Perimeter of a parallelogram: P = 2 ( b + s )
Where h = height s = slant height and b = base length
Define:
b = 8
h = 4
s = 7
Plug in given values into formulas and calculate
A = (8)(4)
8 * 4 = 32
A = 32
P = 2 ( 8 + 7 )
8 + 7 = 15
2(15) = 30
P = 30