Answer:
Step-by-step explanation:
The increase was
5400(0.075)=$405
The money in the account was
5400+405=$5805
In which number is the value of the 7 in the number 1.273
The hundredths place
the 2 would be tenths, 1 is hundredths, and the 3 is thousandths
1. A prospective buyer of a new car can choose between manual or automatic transmission and can also choose from
Step-by-step explanation:
you want to
come on
zoom
with
me
Which of the following rational functions is graphed below?
D. F(x)=(x-1)/x(x-3) Just took the test
find the integral of 1\1+(2x)^2
Answer:
[tex]\displaystyle \int {\frac{1}{1+(2x)^2}} \, dx = \frac{artan(2x)}{2} + C[/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 EqualityCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Antiderivatives - Integrals
Indefinite Integrals
Integral Constant CU-Substitution
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Arctrig Integration [arctangent]: [tex]\displaystyle \int {\frac{1}{a^2 + u^2}} \, du = \frac{1}{a}arctan(\frac{u}{a}) + C[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{1}{1+(2x)^2}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integral] Rewrite: [tex]\displaystyle \int {\frac{1}{1^2+(2x)^2}} \, dx[/tex]Step 3: Identify Variables
Identify variables for u-substitution of arctrig.
Set u: [tex]\displaystyle u = 2x[/tex]Differentiate [Basic Power Rule]: [tex]\displaystyle \frac{du}{dx} = 1 \cdot 2x^{1 - 1}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{du}{dx} = 2[/tex][Derivative] Rewrite: [tex]\displaystyle du = 2dx[/tex]Set a: [tex]\displaystyle a = 1[/tex]Step 4: Integrate Pt. 2
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \frac{1}{2}\int {\frac{2}{1^2+(2x)^2}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \frac{1}{2}\int {\frac{du}{a +u^2}}[/tex][Integral] Arctrig Integration [arctangent]: [tex]\displaystyle \frac{1}{2}[\frac{1}{a}arctan(\frac{u}{a})] + C[/tex][Integral] Back-Substitute: [tex]\displaystyle \frac{1}{2}[\frac{1}{1}arctan(\frac{2x}{1})] + C[/tex][Integral] Divide: [tex]\displaystyle \frac{1}{2}[arctan(2x)] + C[/tex][Integral] Multiply: [tex]\displaystyle \frac{arctan(2x)}{2} + C[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration of Arctrig
Book: College Calculus 10e
Convert: 112 meters =______________________
centimeters
Answer: m cm
112.00 11,200
Step-by-step explanation:
Please help I need help
Answer:
3
Step-by-step explanation:
just get everything but the h to the other side
divide by b1 + b2
1/2h = A/b1 + b2
then multiply by 2
h = 2A/b1 + b2
Problem
Evaluate 6 + x when x = 3
Answer:
9
Step-by-step explanation:
6+x x=3
6+3=9
there are 120 children standing in a line,every third gets a rubber, every fourth child gets ruler and every fifth gets a book. in what position is the first child that gets all 3 items?
Answer:
60th position is the first child that gets all 3 items
Step-by-step explanation:
Find the LCM of 3 , 5 and 4.
Least common multiple of 3 , 4 and 5 = 3 * 4 * 5 = 60
Answer:
3,6,9,12,
4,8,12,16,
5,10,15,
in 60th position
60is the first number that can be divided by 60/3=20 60/4=15 60/5=12
Write the polynomial as a product of a difference and a sum: b^2-4/9
Answer:
[tex] \sf \huge \boxed{ \boxed{(b + \frac{2}{3} )(b - \frac{2}{3} )}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:algebraPEMDAStips and formulas:[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]let's solve:[tex] \sf \: rewrite : \\ ( {b})^{2} - ( \frac{2}{3} {)}^{2} [/tex][tex] \sf use \: the \: formula : \\ (b + \frac{2}{3} )(b - \frac{2}{3} )[/tex]Answer:
Solution given:
[tex]b^{2} -\frac{4}{9}[/tex]=[tex]b^{2} -\frac{2^2}{3^2}=b^2 -(\frac{2}{3})^2[/tex]
it is in the form of x²-y²=(x+y)(x-y)
so
[tex]b^2 -(\frac{2}{3})^2=(b+\frac{2}{3})(b-\frac{2}{3})[/tex] is A required polynomial.
Step-by-step explanation:
Caroline saves money in an arithmetic sequence: $350 the first year, another $550
the second, and so on. How much money does she save after 31 years?
Please help! I don’t get this! No links please
Answer:
66
Step-by-step explanation:
V=πr2h
3=π·32·7
3≈65.97345
Multiply 1/10x17/18 pls help I'll give u brainlest
Calculate :
[tex] \frac{1}{10} \times \frac{17}{18} = \frac{1 \times 17}{10 \times 18} = \frac{17}{180} [/tex]
Answer:
17/180
Step-by-step explanation:
You multiply both of the tops together and both of the bottoms together.
1 x 17 = 17
over
10 x 18 = 180
Hope this helps :D
Find the area of a rectangle that is 17 3/8 in. By 4 1/9 in.
Answer:
71 31/72 in
Step-by-step explanation:
multiply the length and width for the formula. :)
When Reena subtracted 9 from thrice a number, the result was 15. Then the number is
-7
8
-3
-8
Answer:
8
Step-by-step explanation:
Thrice means the same as 3, so 3 × 8 = 24 and when 9 is subtracted from 24 it is equal to 15
Answer:
Step-by-step explanation:
let the number be x
3x-9=15
3x=15+9 add 9 from both sides
3x=24
x=8
Two coaches and two mathletes wish to cross a river. They make a raft but it will only carry the weight of 1 coach or 2 mathletes (1 coach and 1 mathlete is too much; 1 mathlete is just fine). What is the minimum number of times the raft must cross the river to get all four people to the other side? (Note: the raft can not cross the river if it’s empty - you need at least one person on it!)
Ryan wrote a number on his paper. His number rounds to 350 when rounded to the nearest ten. His number rounds to 300 when rounded to the nearest hundred. Enter a number that Ryan could have written.
Answer
342 is one
Step-by-step explanation:
plz help me
..................
Answer:
Step-by-step explanation:
Find the length of the hypotenuse in the triangle
Answer:
it's 9.5 ft.............................
A salesperson earns a 5% commission for each sale they make. How much will the salesperson make from a sale of $700?
PLEASE I need help with this math problem please
Answer:
68 in³
Step-by-step explanation:
Cylinder = 3x2x2x3=36
Sphere = 4/3x3x2x2x2=32
36+32=68
What is the value of m in the diagram?
A. 11.2
B. 20.02
C. 15.8
D. 11
Answer:
20.02
Step-by-step explanation:
Answer:
20.02
Step-by-step explanation:
is this right? and if not pls tell why but if I'm right tell why anyway
Answer:
Thats right
Step-by-step explanation:
Model 2 is just Model 1 divided into 3 parts.
Since only 1 of those three parts is shaded, its 1/3.
9 ft. 15 ft The volume of the figure is cubic feet. 15 ft. 15 ft
Answer:
4,050 cubic feet
Step-by-step explanation:
The figure is made up of a square pyramid and cube
Therefore:
Volume of the figure = volume of the square pyramid + volume of the cube
✔️Volume of the square pyramid = ⅓*a²h
a = 15 ft
h = 9 ft
Volume of square pyramid = ⅓*15²*9 = 675 ft³
✔️Volume of the cube = s³
s = 15 ft
Volume of the cube = 15³ = 3,375 ft³
✔️Volume of the figure = 675 + 3,375 = 4,050 cubic feet
factor the trinomial below. x^2 - 14x + 45
A. (x-5)(x+9)
B. (x-5)(x-9)
C. (x-3)(x+15)
D. (x-3)(x-15)
Answer:
B
Step-by-step explanation:
factors of 45 that when u multiply give u 45 when u add give u -14
Answer:
B, (x - 5)(x - 9)
Step-by-step explanation:
x^2 - 14x + 45
= (x - 5)(x - 9)
A behavioral economist studies transportation habits in an urban center. She identifies 4 bus routes that connect to 3 different light rail routes available to participants in the study. Before she interviews participants, she must determine the number of possible routes participants can choose to use. Which expression represents the number of available options
a. 4!+3!
b. 4×3
c.4!×3!
d. 4!/3!
Answer:
Total possible routes participants can choose = 4×3 = 12 ways
The correct option is - b. 4×3
Step-by-step explanation:
Given - A behavioral economist studies transportation habits in an
urban center. She identifies 4 bus routes that connect to 3
different light rail routes available to participants in the study.
To find - Before she interviews participants, she must determine the
number of possible routes participants can choose to use.
Which expression represents the number of available options.
Proof -
Given that ,
Total bus routes = 4
So, number of possible ways she use the bus route = 4
Also,
The 4 bus route connects to 3 different light rail
So, possible ways that she use light rail = 3
∴ we get
Total possible routes participants can choose = 4×3 = 12 ways
The correct option is - b. 4×3
please help me with this question
Answer:
[tex] \sqrt{8 + y} [/tex]
40°
50°
Х
x = __ degrees
Step-by-step explanation:
you just do 180 - 90 = 90 degree is x value
Answer:
x should equal 90.
Step-by-step explanation:
x is the sum of those two interior angles. 50 + 40 equals 90.
Helps please is for now
Answer: do ur test ur self
Step-by-step explanation:
Porcentajes
•Halla los siguientes porcentajes.
•
•a) 15% de 300, b) 25% de 8,000, c) 50% de 7,500,
•
•d) 45% de 1000, e) 30% de 3,600, f) 25% de 5,500
Answer:
A: 45
B: 200
C: 3750
D: 450
E: 1080
F: 1375
Step-by-step explanation:
help me with this please
Number 11,12,13,14,15,16,17,18,19,20
Answer:
13 )c
16) c
17) a
18 )d
20) 9x^2 +12
number 20. the answer is not in the option
