Answer:
19
Step-by-step explanation:
19 - 16 = 3
What is the absolute value of |-2+4|
Answer:
2
Step-by-step explanation:
The absolute value of a number is its distance from zero, since distance is always positive, the absolute value is always positive.
| -2 + 4 |
Simplify,
|2|
= 2
Solve the Anti derivative.
Answer:
[tex]\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]
General Formulas and Concepts:
Algebra I
FactoringCalculus
Antiderivatives - integrals/Integration
Integration Constant C
U-Substitution
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Trig Integration: [tex]\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integral] Factor fraction denominator: [tex]\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx[/tex][Integral] Integration Property - Multiplied Constant: [tex]\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx[/tex]Step 3: Identify Variables
Set up u-substitution for the arctan trig integration.
[tex]\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx[/tex]
Step 4: Integrate Pt. 2
[Integral] Substitute u-du: [tex]\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du[/tex][Integral] Trig Integration: [tex]\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C[/tex][Integral] Simplify: [tex]\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C[/tex][integral] Multiply: [tex]\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C[/tex][Integral] Back-Substitute: [tex]\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]Topic: AP Calculus AB
Unit: Integrals - Arctrig
Book: College Calculus 10e
If I have 8 cans of soup and I gave 1/2 to sue and 1/4 to mark how many do I have left
Answer:
6 1/2 (a.k.a 6.5)
1/4 = 2/2 + 1/2 = 3/2 = 1 1/2
8 - 1 1/2 = 6 1/2
The tape diagram a way to model 5/8x11
Answer:
55/8
Step-by-step explanation:
here u gooo good luck
X + Y = 2. y =2x + 5 write the solution as a ordered pair
Answer:
(-1, -2)
x=-1
y=-2
Step-by-step explanation:
x+y=2
y=2x
Knowing this information, we can substitute y for 2x+5 in the first equation.
x+2x+5=2
3x+5=2
3x=-3
x=-1
Now, plug x into the second equation.
y=2(-1)
y=-2
PLS I NEED HELP! If y varies direct to x and y = 12 and x = 3, then what does x equal when y is 80?
Answer:
20
Step-by-step explanation:
12 divided by 3 = 4
therefore 80 divided 4 is 20
Answer:
x=10
Step-by-step explanation:
A set of 6 number cards contains the numbers 2,5,7,8,9, and 11. Which ratio of odd number cards to total cards in the set?
A container has 360 gallons ; daniel took 1/3 of water to give to the animals in the ranch; how many gallons of water are left? I NEED IT TO BE EXPLAINED AND I WILL MAKE YOU THE BRAINLIEST
Answer: 240 gallons
Step-by-step explanation:
From the question, we are informed that the container has 360 gallons and that Daniel took 1/3 of water to give to the animals in the ranch. Therefore, the amount of water that Daniel took will be:
= 1/3 × 360
= 120 gallons
Since we have 360 gallons at the beginning and Daniel has taken 120 gallons, the amount of gallons that'll be left will be:
= 360 - 120
= 240 gallons
What’s 720 x 0.1? Please answer
Answer:
72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
720 x 0.1 would be 72 because the 0 doesnt show when you times it. your welcome lol.
b.) -1, 6, -36, ....
Factor -7x^3+21x^2+3x-9 by grouping what is the resulting expression
Answer:
Step-by-step explanation:
You want to group things that can actually be factored. You dont want to group -7x^3 and -9 because that would just be a mess and wouldnt give you the right answer.
[tex](-7x^3+21x^2)+(3x-9)\\-7x^2(x-3)+3(x-3)\\(-7x^2+3)(x-3)[/tex]
Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by D(t) = 10,020e0.02292t where t is the number of years past 2010. In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?
Answer:
The disposable income predicted to be $17 trillion in 2033.
Step-by-step explanation:
The disposable income, in billions, in t years after 2010 is given by the following function>
[tex]D(t) = 10020e^{0.02292t}[/tex]
In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?
This is t for which [tex]D(t) = 17000[/tex]. So
[tex]D(t) = 10020e^{0.02292t}[/tex]
[tex]17000 = 10020e^{0.02292t}[/tex]
[tex]e^{0.02292t} = \frac{17000}{10020}[/tex]
[tex]\ln{e^{0.02292t}} = \ln{\frac{17000}{10020}}[/tex]
[tex]0.02292t = \ln{\frac{17000}{10020}}[/tex]
[tex]t = \frac{\ln{\frac{17000}{10020}}}{0.02292}[/tex]
[tex]t = 23[/tex]
2010 + 23 = 2033
The disposable income predicted to be $17 trillion in 2033.
Does the following table represent an exponential decay or growth function?
Answer:
It shows the growth function I think because the are increasing
Step-by-step explanation:
It is not a exatly
Mr. Barrientos can run 2 ½ miles in 2 hours. How many miles can he run in 6 hours? Show your work.
Answer:
7 1/2 miles
Step-by-step explanation:
The product of-9/4 with another number is 7/3.what is the other number
Answer:
Step-by-step explanation:
(-9/4)x = 7/3
x = (7/3) · (-4/9) = -28/27
What is the difference? Complete the equation.
-2 1/4 - (-3/4)
Answer:
-1.5
Step-by-step explanation:
Hair colors are an example of which type of data?
Answer:
Nominal data are used to label variables without any quantitative value. Common examples include male/female (albeit somewhat outdated), hair color, nationalities, names of people, and so on. In plain English: basically, they're labels (and nominal comes from "name" to help you remember). You have brown hair (or brown eyes).
If our school has about 300 seventh graders, about how many would be expect to watch 4 to
8 hours of television weekly?
A. 55
B. 116
C. 138
D. 165
Answer:
55
Step-by-step explanation:
A population of 42 fruit flies has increased
by 150%. What is the total number of fruit
flies after the increase?
Bobby decides to sell lemonade on a hot summer day. If Bobby sells 20 glasses of lemonade for $2.00 per cup, and his average total cost is $1.70, what are Bobby's economic profits for the day?
Bobby's economic profit for the day is $6.
Bobby's economic profit is total revenue less total cost.
Economic profit = total revenue - total cost
Total revenue = price x glasses of lemonade sold
20 x $2 = $40
Total cost = average total cost x glasses of lemonade sold
$1.70 x 20 = $34
Economic profit = $40 - $34 = $6.
A similar question was answered here: https://brainly.com/question/14918805?referrer=searchResults
What decimal does the model represent?
The model below is shaded to represent 2
A 25.6
2.056
2.56
0.256
Answer:
2.56
Step-by-step explanation:
What’s the total area of a rectangular prism with a height of 17 feet, a width of 12feet, and a thickness of 10feet?
Answer:
988 feet________________
f(x)=2x+1
g(x)=x-5
calculate f(g(x))
Answer:
2x-9
Step-by-step explanation:
substitute g into f
2(x-5)+1
2x-10+1
2x-9
7. If AJKL - ANMP, find the value of x.
P x +5 N
49
14
M
J 9x + 1 L
Answer:
Since they are similar their sides are corresponding,
9x + 1 / x + 5 = 49 / 14
or, 14 ( 9x + 1 ) = 49 ( x + 5 ) { cross multiply}
or, 126x + 14 = 49x + 245
or, 77x = 231
or, x = 231/77
or, x = 3
Hope it helped
ALL THE BEST!!
( Hope u will mark me brainliest )
evaluate the given expression for x = -11
-3x-5
Answer:
28
Step-by-step explanation:
-3(-11)-5
33-5
28
can someone help me find the value of x
Answer:
x=52
Step-by-step explanation:
A triangle 3 interior angles add up to 180 so the third angle is 52. Since the two lines are parallel and have a transversal angle x and 52 are alternate interior angles so x=52
URGENT URGENT!!!!! PLEASE HELP
Answer:
2x+3y=T
Step-by-step explanation:
t= total
the total number of points depending on how many 3 points are shot makes up the score.
Casper write the algebraic expression 5b + 3.79. I represents the total cost, in dollars, of buying 5 bagels and a container of cream cheese. Identify any variables, coefficients, and termsin the expression.
Answer:
yes
Step-by-step explanation:
Solve for the missing side of the triangle
sin53=x/15
0.798×15=x
x=11.98is your answer
Complete each equation so that it is true for no values of x.
x - 2 = -(__- x)
nswer:
(x +5)^2 = -2
Step-by-step explanation: w t f
We can subtract the constant to get ...
x^2 +10x = -27
Then add the square of half the x-coefficient:
x^2 +10x +5^2 = -27 +5^2
(x +5)^2 = -2 . . . . . . write as a square