Answers
Answer:
[tex]\displaystyle t = \frac{2 \pi}{3}, \ \frac{4 \pi}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsFunction Notation[Interval Notation] - [Brackets] imply inclusive, (Parenthesis) imply exclusivePre-Calculus
Unit CircleCalculus
Derivatives
Derivative Notation
The definition of a derivative is the slope of the tangent line
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Trig Derivative: [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]
Step-by-step explanation:
Step 1: Define
[Given] q(t) = t + 2sint
[Given] Interval [0, 2π]
[Solve] q'(t) = 0
Horizontal tangent line have a slope of 0Step 2: Differentiate
[Derivative] Basic Power Rule/Trig Derivative [Derivative Prop - Add]: [tex]\displaystyle q'(t) = 1 \cdot t^{1 - 1} + 1 \cdot 2cost[/tex][Derivative] Simplify exponent: [tex]\displaystyle q'(t) = 1 \cdot t^{0} + 1 \cdot 2cost[/tex][Derivative] Evaluate exponent: [tex]\displaystyle q'(t) = 1 \cdot 1 + 1 \cdot 2cost[/tex][Derivative] Multiply: [tex]\displaystyle q'(t) = 1 + 2cost[/tex]Step 3: Solve
[Derivative] Substitute in function value: [tex]\displaystyle 0 = 1 + 2cost[/tex][Subtraction Property of Equality] Isolate t term: [tex]\displaystyle -1 = 2cost[/tex]Rewrite: [tex]\displaystyle 2cost = -1[/tex][Division Property of Equality] Isolate trig t term: [tex]\displaystyle cost = \frac{-1}{2}[/tex][Equality Property] Inverse Trig: [tex]\displaystyle t = cos^{-1}(\frac{-1}{2})[/tex]Evaluate [Unit Circle, Interval]: [tex]\displaystyle t = \frac{2 \pi}{3}, \ \frac{4 \pi}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Related Questions
M- Determine whether or not the procedure described below results in a binomial distribution. If it is not binomial, identify at least one requirement that is not satisfied.Six hundred different voters in a region with two major political parties, A and B, are randomly selected from the population of 5500 registered voters. Each is asked if he or she is a member of political party
A. Yes, the result is a binomial probability distribution.B. No, the trials are not independent and the sample is more than 5% of the population.C. No, there are more than two possible outcomes.D. No, the number of trials is not fixed.E. No, the probability of success is not the same in all trials
Answers
Answer:
A. Yes, the result is a binomial probability distribution.
Step-by-step explanation:
The experiment above depicts a binomial probability distribution because the 4 required conditions are met :
1.) The distribution is independent as the possible outcome of each trial is the same.
2.) There are two possible categories and the result of each trial is one of two outcomes : Yes or No
3.) The number of observation is fixed at sample size of 5500
4.) The probability of success and failure of each trial is the same for all trials in the sample.
Hence, we can conclude that the experiment depicts a binomial probability distribution.
If we divide Rs 20 between Jatin and Arnav in the ratio 3 : 2, how much will each of
them get?
Answers
Answer:
$12
$8
Step-by-step explanation:
Amount Jatin received = (ratio of Jatin's share / sum of ratios) x amount shared
sum of ratios = 3 + 2 = 5
(3/5) x 20 = $12
Amount Arnav received = (ratio of Arnav's share / sum of ratios) x amount shared
(2/5) x 20 = $8
or
$20 - $12 = $8
60 centimeters + 4 meters
What is the answer in centimeters
Answers
Answer:
its 460centimeters hope i helped
John bought a video game that was 30% off. The game was originally $70. What was the sale price of the game?
Answers
Answer:
49 Dollars
Step-by-step explanation:
If you subtract 70- 30%, you get 49 dollars
Hope this helps =)
Please answer quickly
Answers
so 9^12
Answer:
B
Step-by-step explanation:
1. Combine exponents
9^4 * 9^8 = 9^12
Put the equation 169x^2+25y^2-4225=0 in standard form and sketch the ellipse including the foci in your sketch
Answers
Answer:
The standard form of the ellipse is [tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]. Coordinates of the foci are [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex], respectively.
Step-by-step explanation:
The equation of a ellipse centered in the origin in standard form is defined by following formula:
[tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} = 1[/tex] (1)
Where [tex]a, b[/tex] are the coefficients of the ellipse.
Now we proceed to transform the equation of the ellipse in general form into standard form by algebraic means:
[tex]169\cdot x^{2}+25\cdot y^{2}-4225 = 0[/tex]
[tex]169\cdot x^{2}+25\cdot y^{2} = 4225[/tex]
[tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]
Since [tex]b > a[/tex], then major axis of the ellipse is located in y-axis. The distance between center and focus ([tex]c[/tex]) is calculated by following Pythagorean identity:
[tex]c =\sqrt{b^{2}-a^{2}}[/tex] (2)
[tex]c = 12[/tex]
The location of the foci are represented by [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex]. If we know that [tex]c = 12[/tex], then the location of the foci are, respectively:
[tex]F_{1}(x,y) = (0,-12)[/tex], [tex]F_{2}(x,y) = (0,12)[/tex]
If you answer correctly you get one of those crown things
Answers
Answer:
CDBE
Step-by-step explanation:
If you add angle CD and BE together it would be CDBE
Is 0.35 greater than 4/9
Answers
Answer:
No
Step-by-step explanation:
It is not because 0.35 is less then 4/9 or 0.44444.
WILL GIVE BRAINLIEST
sketch the graph of the following equation: y=|4-3x|
Answers
Answer:
attached
Step-by-step explanation:
y=|4-3x| y: positive number
triangle. l m is the image of triangle lmn after a translation. How are the side lengths and angle measures of the triangles related? Explain
Answers
Answer:
Angle L would still be 45 degrees because the size of the triangle did not change when it was moved
Step-by-step explanation:
Pls help with this question. It is due today!
Answers
Answer: B
Step-by-step explanation:
4. The quotient of a number and 3 is at least 5.
Answers
Answer:
15 20 25 any of those!
Step-by-step explanation:
mark brainliest pls
Which expression is equivalently to x^2 + 2x + 2?
Answers
Answer:
(X-1+I)(x-1-I)
Step-by-step explanation:
Expression (x + 1 - i)(x + 1 + i) is equivalent to x² + 2x +2.
Option (B) is correct option.
What is an algebraic expression?Variables, integers, and a variety of mathematical procedures make up an algebraic expression.
To find the expression equivalent to x² + 2x +2,
Solve with the help of options.
(A)
(x - 1 + i)(x - 1 - i)
Solve by using formula (a + b)(a - b) = a² - b²
(x - 1 + i)(x - 1 - i) = (x -1)² - i² = x² + 1 - 2x +1 = x² - 2x + 2
(B)
(x + 1 - i)(x + 1 - i)
Solve by using formula (a + b)(a - b) = a² - b²
(x + 1 - i)(x + 1 + i) = (x + 1)² - i² = x² + 1 + 2x +1 = x² + 2x + 2
Expression in option (B) is equivalent to x² + 2x + 2.
To know more about Algebraic expression on:
https://brainly.com/question/19245500
#SPJ2
(-8 times (-2/3)
Easy 7th grade work pls answer in fraction form
Answers
Answer:
[tex]-8 \times \frac{-2}{3}\\\\= \frac{-8 \times -2}{3} \\\\= \frac{16}{3}[/tex]
What is the simplest form of 3/5 + 1/3
Answers
Answer:
8/15 +5/15 = 12/15 = 4/5
Step-by-step explanation:
Please help! Can anyone help me out with this question?
Answers
Answer:
[tex]\displaystyle h'(s) = 64s + 20[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle h(s) = (-8s - 9)(-4s + 2)[/tex]
Step 2: Differentiate
[Derivative] Product Rule: [tex]\displaystyle h'(s) = \frac{d}{ds}[(-8s - 9)](-4s + 2) + (-8s - 9)\frac{d}{ds}[(-4s + 2)][/tex][Derivative] Basic Power Rule: [tex]\displaystyle h'(s) = (1 \cdot -8s^{1 - 1} - 0)(-4s + 2) + (-8s - 9)(1 \cdot -4s^{1 - 1} - 0)[/tex][Derivative] Simplify: [tex]\displaystyle h'(s) = (-8)(-4s + 2) + (-8s - 9)(-4)[/tex][Derivative] Distribute [Distributive Property]: [tex]\displaystyle h'(s) = 32s - 16 + 32s + 36[/tex][Derivative] Combine like terms: [tex]\displaystyle h'(s) = 64s + 20[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
A group of tenth grade students responded to a survey that was asked which Math course they were currently enrolled in. The survey data were broken down as shown in the table above. Which of the following categories accounts for approximately 19% of all survey respondents?
A. Females taking Geometry
B. Females taking Algebra II
C. Males taking Geometry
D. Males taking Algebra I
Answers
Answer:
C.
Step-by-step explanation:
The bottom-right most cell tells us that the total number of students that responded to the survey is 310 students.
To find the answer, we can go through each choice.
A. Females taking Geometry
Row 1 Column 2 tells us that 53 females are taking geometry. 53/310 is about 17%.
B. Females taking Algebra II.
Row 1 Colume 3 tells us that 62 females are taking Algebra II. 62/310 is 20%.
C. Males taking Geometry.
Row 2 Colume 2 tells us that 59 males are taking Geometry. 59/310 is about 19%. Choice C is correct.
D. Males taking Algebra I.
44 out of the total 310 respondents are male and is taking Algebra I. 44/310 is about 14%.
Answer:
C
Step-by-step explanation:
59/310 *100 = 19.03%
so 19%
Does the Y-axis or X-axis come first?
Answers
Answer:
X
Step-by-step explanation:
The X-axis is the one on the bottom if you are in the first quadrant. The y-axis is on the left or up and down. If you are writing location(I can't remember the name but it looks like this (2,3)) you would write the X-axis down first. Hope this helped!
The equation for velocity is v = distance time . Evaluate the velocity of an object that travels 15 meters in 2.5 seconds.
Answers
Answer:
What is acceleration?
Imagine you are playing golf, and you’ve just set up the golf ball on the tee. You test your grip, take a few practice swings, and peer into the distance at the flag pole marking the first hole for the course. Your wise golf ball guru (who happens to also teach physics) tells you to “Be the ball, young grasshopper.” So you close your eyes and picture the distance the ball must travel. “Yes, young earthworm”, your sensei says, “that distance you see is the displacement you must achieve, displacement is the change in position from one place to another.”
Step-by-step explanation:
Find quotient and reminder, when 135 is divided by 12
Answers
Answer:
11 is quotient and reminder is 3
Step-by-step explanation:
11x12=132, 135-132=3
Hey can someone help pls
Answers
Answer:
Step-by-step explanation:
x2 - 2x - 35
First we have to find the factors of 35 that by subtracting equal to 2 so
x2 - 7x + 5x - 35
Taking common
x(x - 7) + 5(x - 7)
(x - 7) and (x + 5) are the factors
AT&T would like to test the hypothesis that the average revenue per retail user for Verizon Wireless customers is greater than $50. A random sample of 32 Verizon Wireless customers provided an average revenue of $54.70. It is believed that the population standard deviation for the revenue per retail user is $11.00. Using LaTeX: \alpha=0.05α = 0.05 , answer the following questions: a. Identify the null and alternative hypotheses to conduct an appropriate hypothesis test of mean. (3 points) b. Use the critical value approach to test this hypothesis. (3 points) State your decision and conclusions explicitly. (3 points) c. Use the p-value approach to test this hypothesis. (3 points) State your decision and conclusions explicitly. (3 points) d. Assume that the actual population mean for revenue per retail user is $44.30. Calculate the probability of type II error. (5 points)
Answers
Answer:
H0; u = 50 average revenue equals 50
H1: u not equal to 50, average revenue not equal to 50
This is 2 tailed
Alpha = 0.05
Z critical = 1.6449
We find the test statistics
Mean = 54.7
Sd = 11
n = 32
barX - u/sd/√n
= 54.70-50/11/√32
= 4.70/1.9435
= 2.418
Decision rule: reject H0 if test statistic > critical value. Accept if otherwise
2.418>1.6449
We reject H0
We conclude that average revenue is not equal to zero
C. P(z>=2.418) = 0.9922
1 - 0.9922
= 0.0078 (I used Ms excel here)
0.0078 < 0.05
So we Reject h0
Y =
2 + 1 and 4x - ly = 14 are
4
parallel lines.
O True
O False
Answers
A store buys a jackets for $20.00 and sells it for 80% more than that what is the selling price of the jacket
Answers
Answer:
$36
Step-by-step explanation:
in the beginning $20 is %100 so divide 20 by 100 .you'll get .2 but to make this simple you'll want %10 so multiply .2 times 10 and you get 2 .now that 2 is %10 and you want %80 you multiply 2 8 times (or add it 8 times) because %10 times 8 = %80 so 2 times 8 = 16 .now that you have the %80 you want to add it to the %100 because they sold it for %80 then the price they bought if for (you get %180) . then you add the $20 to the $16 because that is what each percent equals (you get $36)
Answer:
$36
Step-by-step explanation:
What we know: The jacket is marked up by 80% of the jacket. The store is now selling the jacket for 180% of what they bought it for.
Set up problem: x 180%
___ = ____
$20 100%
What do the numbers mean when set up like this(referring to problem set up): We know that $20 is the original price of the jacket. So $20 is 100% of the jacket(if that makes sense). Markup is 80% because "sells it for 80% more" . So it goes on top.
Solving the Problem#1: 180 x 20 = 3600
Solving the Problem#2: 3600/1000= $36
Checking My Math: What is 80% of $20. Let's divide $20 into 4 parts.
$4 + $4 + $4 + $4 + $4 =20
$4 is 20% of 20
$8 is 40% of 20
$12 is 60% of 20
$16 is 80% of 20
$20 is 100% of 20
Final Answer: $36 is the selling price of the jacket
Note: I used a scientific calculator for some calculations.
Helpppppp !!! Due in a few hours .
Answers
Answer:
y = -4/9x + 1/3 letter H
Step-by-step explanation:
Let's solve for y. 4x+9y=3 Step 1: Add -4x to both sides. 4x+9y+−4x=3+−4x 9y=−4x+3 Step 2: Divide both sides by 9. 9y 9 = −4x+3 9 y= −4 9 x+ 1 3
Please no links just the letter answer and explanation please
Answers
Answer:
-6.5 degrees/km
Step-by-step explanation:
I couldn't rlly find the answer myself, but this quizzis link has it. Question 7 on the quizzis btw https://quizizz.com/admin/quiz/5cbe6de57d6ff2001bf22fc3/2019-algebra-i-staar-review-day-2
If you roll two six-sided dice, what is the probability that at least one dies shows a 5 ?
Answers
Answer:
[tex]\frac{11}{36} = 0.3056[/tex] probability that at least one dies shows a 5.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Each dice:
6 sides, one of which is 5.
So 6-1/6 = 5/6 probability of rolling a 5.
Probability of not rolling a five in two rolls:
(5/6)^2 = 25/36
Probability of rolling a five in at least one of the rolls:
[tex]p = 1 - \frac{25}{36} = \frac{36}{36} - \frac{25}{36} = \frac{11}{36} = 0.3056[/tex]
[tex]\frac{11}{36} = 0.3056[/tex] probability that at least one dies shows a 5.
Pls help asap will mark brainliest firtst answer!!
Answers
Answer:
The answer is C
Step-by-step explanation:
9 of the 20 drawn were red
9/20* 100 = 45
Plsss help me with this math question!!!
Answers
Answer:
Option c.
Step-by-step explanation:
Volume = length * breadth *height
According to the question,
(3/2 * 1/2 * 2)ft^3
= 3/2ft^3
Hope this helped :)
What is the right way to use substitution method?
Answers
Answer:
Step-by-step explanation:
Substitution method can be applied in four steps. Step 1: Solve one of the equations for either x = or y = . Step 2: Substitute the solution from step 1 into the other equation. Step 3: Solve this new equation Happy too help!