Answer: 5
Step-by-step explanation:
3(2x-3)=21
6x-9=21
6x=30
x=5
Integrate ∫2tan(2x+π)dx
Answer:
[tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = - \ln \big| \cos (2x + \pi) \big| + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIndefinite IntegralsIntegration Constant CIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
Trigonometric Integration
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = 2 \int {\tan (2x + \pi)} \, dx[/tex]Step 3: Integrate Pt. 2
Identify variables for u-substitution.
Set u: [tex]\displaystyle u = 2x + \pi[/tex][u] Differentiate [Derivative Properties]: [tex]\displaystyle du = 2 \ dx[/tex]Step 4: Integrate Pt. 3
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = \frac{2}{2} \int {2 \tan (2x + \pi)} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = \frac{2}{2} \int {\tan u} \, du[/tex]Simplify: [tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = \int {\tan u} \, du[/tex][Integral] Trigonometric Substitution: [tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = - \ln \big| \cos u \big| + C[/tex][u] Back-Substitute: [tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = - \ln \big| \cos (2x + \pi) \big| + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Which pair of integers has a product of -60 and a sum of 4 ?
6 and 10. 6*10=60 10-6=4
Find the missing number. Decreased by 10% decreased by 10%. Decreased by ...% (how much was it decreased)
Percentage decrease is the amount by which a given number is decreased expressed as a percentage.
The percentage by which the number was decreased = 19%Reasons:
The percentage by which the number was decreased = 10%
The number is decreased by 10%
Let x represent the number, we have;
New remainder after first decrease = x - 10% × x = x - 0.1·x = 0.9·x
Decreasing the new number by 10% gives;
Second new number = 0.9·x - 0.09·x = 0.81·x
The percentage by which the number is decreased = x - 0.81·x = 0.19·x
The percentage by which the number is decreased = 19%
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Good points please help:(
Answer:
x = 29
Step-by-step explanation:
These angles are vertical angles which mean that they're equal to each other:
2x - 24 = x + 5
2x - x = 5 + 24
x = 29
Help help help help help
Which of these are not equivalent to 3/12? (a) 33%, (b) 0.4, (c) 1/4, (d) 1/3 , Which of these are equivalent to 11/4? (a) 4/11, (b) 2 11/16, (c) 2.75, (d) 275%
Answer:
under
Step-by-step explanation:
B D E
What is the output of a function when tha input is -9
Answer: f(-9)
Step-by-step explanation:
A function is described in the form of f(x)
Therefore, if this is how a function is stated we have x as the input.
Here, the x is equal to -9
So now:
f(-9) after substitution.
HEHEHEHE HELP LOL IM NOT SMART ENOUGH FOR THIS 3
help pls//////////////////
Answer:
x = 6
Step-by-step explanation:
12(x -2) +3x = 1/3(x +12) +10x
12x -24 +3x = 1/3x +4 +10x . . . . . eliminate parentheses
15x = (10 1/3)x +28 . . . . . . . . . . add 24, collect terms
(4 2/3)x = 28 . . . . . . . . . . . . . subtract 10 1/3
x = (3/14)(28) = 6 . . . . . . . . multiply by 1/(4 2/3) = 3/14
The value x=6 satisfies the equation.
Help what is thisss
GIVING OUT BRAINLY IF U ANSWER
idc if sum r wrong
Answer:
it is a b and c
Step-by-step explanation:
Zahara rides with her dad to her grandmother’s house. They travel 159 miles in 3 hours. Her uncle, Jorge, drives there separately from his home. a. At what speed does Zahara’s dad drive, in miles per hour? Draw a model to show your work.SOLUTION b. Jorge’s trip takes the same amount of time as Zahara’s, but he travels a shorter distance. Does Jorge drive faster or slower than Zahara’s dad?A store changes the cost of a package of batteries. Now customers pay more money for the same number of batteries. Did the cost per battery increase, decrease, or stay the same? Explain how you know. 3 4
HELPP!!! I have a root test for a series but it's in n/2 power, help me out please ?
Mathew basketball team won 68% of the games they played if they won 17 games how many did they play
Answer:
25
Step-by-step explanation:
turn 68% into a decimal (or keep as a percentage, your choice) and divide
17 divided by 0.68 (68% as a decimal) = 25
If your income is constant, what will happen to your savings when your expenses increase?
PASAGOT PO!!!!!
Okay, suppose your income is about $100.
You might spend $70 & save $30.
Now, suppose your income remains constant at $100 but your expenses go up to, say, $90. You can see that your savings will reduce or decrease. Now, you'll only have about $10 to save.
=》 So, if your income is constant, then your savings will 'decrease' when your expenses increase.
_______
RainbowSalt2222 ☔
−9 13−(−1 13) Enter the simplified answer in the box.
Step-by-step explanation: −913−(−113)
=−913−(−113)
=−913+113
=−800
Take a look at picture please!!!!! 10 points!! Option d is 1/4
Answer:
1/6
Step-by-step explanation:
prob. that first spin will land on blue = 1/4
prob. that the second spin will land on yellow = 2/8
= 1/4 * 2/8 = 1/16
F varies jointly as q1 and q2 and inversely as the square of d.
If F=8 when q1=2, q2=8, and d=4, find F when q1=28, q2=12, and d=2
Answer:
F =672
Step-by-step explanation:
joint variation is of the form
F = k *q1 * q2
Inversly means divide
F = k * q1 * q2
-------------------
d^2
We know F=8 when q1=2, q2=8, and d=4 so we can solve for k
8 = k * 2*8
-----------------
4^2
8 = 16k
----
16
8 = k
Substituting
F = 8 * q1 * q2
-------------------
d^2
Let q1=28, q2=12, and d=2
F = 8 * 28 * 12
----------------
2^2
F = 2688
-------
4
F =672
We are given:
F varies jointly (directly) with q1 and q2, which means that F is proportional to both q1 and q2. also,
F varies inversely with d², so F is inversely proportional to the square to d
Finding a mathemetical experssion:
using the above information, we can say that:
F ∝ q₁
F ∝ q₂
F ∝ 1/(d²)
joining these together, we get:
F ∝ q₁q₂ / d²
let's say that 'k' is the constant of proportionality in this case,
F = k (q₁q₂ / d²)
First case:
F = 8, q₁ = 2, q₂ = 8, d = 4
we can use these values in our expression to find k
[tex]8 = k\frac{2*8}{4^2}[/tex]
[tex]8 = k\frac{16}{16}[/tex]
k = 8
Finding F in the second case:
q₁ = 28, q₂ = 12, d = 2, k = 8
[tex]F = k\frac{q_{1}*q_{2}}{d^2}[/tex]
[tex]F = 8(\frac{28*12}{2^2})[/tex]
[tex]F = 8(\frac{336}{4})[/tex]
[tex]F = 2(336)[/tex]
F = 672 N
how do you subtract fractions with different denominators (I completely forgot)
Answer:
multiply them by a a number that allows the denominators to be the same
Step-by-step explanation:
example
1/2-1/6
I would multiply 1/2 by 3 to get 3/6 which i could then subtract from 1/6
3/6-1/6 = 2/6
simplify 4 whole 2/7 + 5/7
Answer:
1
Step-by-step explanation:
2/7+5/7=7/7=1 because 7/7 would be a 1 whole
Answer:
35/7
Step-by-step explanation:
4 = 28/7
28/7 + 2/7 + 5/7 = 35/7
How do you solve 57.82 divided by 0.784
Answer:
Step By Step Explanation!-
57.82÷0.78457.82
÷
0.784
______
57820
÷
784
______
73.75
57.82
÷
0.784
_____
73.75
By using the division property, the value of the expression 57.82 ÷ 0.784 will be 73.75.
What is Algebra?Algebra is the study of graphic formulas, while logic is the manipulation of those inscriptions.
Parenthesis, Exponent, Multiply, Divide, Add, and Subtraction is all part of the PEMDAS formula. To answer the problem properly and accurately, this rule is applied.
The numbers are given below.
57.82 and 0.784
Then the division between the numbers 57.82 and 0.784 will be given by putting a dividing sign between them. Then we have
⇒ 57.82 ÷ 0.784
⇒ 57.82 / 0.784
⇒ 73.75
The value of the expression 57.82 ÷ 0.784 will be 73.75.
More about the Algebra link is given below.
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Ayaan travels 90 miles at an average speed of 60 mph.
She then travels a further 40 miles.
The average speed for the entire journey is 59 mph.
Assuming Ayaan didn't stop, what was her average speed for the final 40 miles to 2 dp?
Step-by-step explanation:
Speed = distance / timeThereafter,
Distance :-
90 miles + 40 miles = 130 milesTime :-
90 / 60 + 59 = 60.5 mphAverage Speed :-
130 / 60.5 = 2.148which value makes the inequality true? -4x+9<-23
Answers: -10, 9, -4, 7
Answer:
the answer is 7, because x<8 means less than 8 so it's 7
Step-by-step explanation:
hope this helps!
Help help me please help
Answer:
[tex](10x - 14) = (7x - 8) \\ \\ 10x - 7x = 14 - 8 \\ \\ 3x = 6 \\ \\ x\frac{6}{3} \\ \\ x = 2[/tex]
it was equal to each other
1) Which value is equivalent to 5+ 4 x 2? A) 11 B) 13 C) 18 D) 22
Answer:
Option B) 13 is correct
Step-by-step explanation:
5+4×25+813The average cost of tuition plus room and board for a small private liberal arts college is reported to be $9,200 per term, but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $9,515. The population standard deviation is $1,200. Let α = 0.05. Based on the computed test statistic or p-value, what is our decision about the average cost?
1. Equal to $9,200
2. Greater than $9,200
3. Less than $9,200
4. Not equal to $9,200
Just give me the answer please
Answer:
what
Step-by-step explanation:
Answer:
Appologies but Why do you have pOn open?
Step-by-step explanation:
umm that is inapropriate but idrc
y = - 1/7x - 2 parallel to 7,6 ???
Answer:
y = - 1/7x - 7
Step-by-step explanation:
Given equation ,
=> y = -1/7 - 2
On comparing to slope intercept form of the line we get the slope as -1/7
Now as we know that the slope of two parallel lines are same . So the slope of parallel line will be -1/7 .
Using point slope form ,
=> y - 6 = -1/7( x -7)
=> y -6 = -1/7x +1
=> y -7 = -1/7x
=> y = -1/7x -7
Write the expression as the sum or difference of two logarithmic functions containing no exponents.
log(x/x + 1)
Hi how u doin ?
[tex] log( \frac{x}{x + 1} ) = \\ [/tex]
[tex] log(x) - log(x + 1) [/tex]
Have a great day ❤
Which table of values represents a linear function?
Answer:
So, if the graph is a straight line,it is the graph of linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change of y with respect to x remains constant for a linear function.
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Step-by-step explanation:
The price of a pair of pants is reduced by $2.54. The price is now $17.25. What was the original price of the pants?
Answer:
The answer is 19.79$ ⁄(⁄ ⁄•⁄-⁄•⁄ ⁄)⁄
Answer:
19.79
Step-by-step explanation:
