Answer: 0/12 would be 0; 12/0 would be undefined
Step-by-step explanation: 0/12 is 0 because properties of zero; 12/0 is undefined because of properties of zero.
What is the value of x?
Answer:
98%
Step-by-step explanation:
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
1. The average attendance at a local high school this year was 950
students. Each year the attendance decreases at a rate of 0.5% per year.
What will the average attendance be in three years? *
The first step when multiplying fractions is to find the reciprocal of the second fraction.
O True
O False
The first step when multiplying fractions is to find the reciprocal of the second fraction.
The statement is False.
The first step when multiplying fractions is to find the reciprocal of the second fraction.
The given statement is FALSE.
Because, First step in multiplying fractions is multiply the numerator from each fraction. That is, multiply the top number first.
Learn more about multiplying fractions at:
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Suppose $5000 is invested at 5.25% annual interest, compounded continually.
What will be the
amount in the account in 7 years if no money is withdrawn?
$2609.00
$7220.60
$5000.00
$5269.51
Answer:
I am sure that it is $7220.60
Step-by-step explanation:
If you invested in 5000 you would have that much in your account to withdraw
hope this works for you
A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 meters from the base. What is the angle of depression from the top of the tower to the point on the ground where the cable is tied?
Answer:
angle of depression = 59.04 degrees
Step-by-step explanation:
tangent X = 30/50
tangent X = 0.6
x = 30.96 degrees
90-30.96 = 50.04 degrees
Answer:
Step-by-step explanation:
θ = arctan(50/30) ≈ 59°
42% of a number is 210. What is the number
Answer:
number is 500 hope this helps
Answer:
42%of n=210
42/100 ×n=210
n=21000/42=500
How to work with this? If multiple it 12*4=48 which is not correctly.
Answer:
Step-by-step explanation:
You must have not input your units of cm^2
The cost of staying in a hotel is given by the formula C=50d+20, where C is the cost in £ and d is the number of days a person stays. Find the cost of staying for:
a) 6 days
b) 2 weeks
c) If the cost is 120 then how many days the person can stay
Answer:
a) £320
b) £720
c) 2 days
Step-by-step explanation:
The question is all about inputting values and finding a result or rearranging and finding a result.
a) d = 6. C = 50(6)+20 = 320
b) d = 2x7 (7 days a week) C = 50(2x7) + 20 = 720
c) C = 120 ... 120 = 50d+20
100 =50d d = 100/50 = 2
Ahmed uses the greatest common factor and the distributive property to rewrite this sum:
99 + 66
Answer:
165
Step-by-step explanation:and if u add them together and line them up correctly you will get the answer
11(9 + 6) will be the greatest common factor and the distributive property to rewrite this sum as 99 + 66.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given that,
⇒ 99 + 66
The highest common factor among both is 15
⇒ 11(9 + 6)
Hence " 11(9 + 6) will be the greatest common factor and the distributive property to rewrite this sum as 99 + 66".
To learn more about expression,
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tan a= 12/15, a lies in quadrant 3, and cos x= -20/29, x lies in quadrant 2. find sin (a+x).
a) 345/377 b) 135/377 c) -152/377 d) 352/377
Answer:
c) -152/377
Step-by-step explanation:
yan po ang tamang sagot ko..
are squares parallelograms
9514 1404 393
Answer:
yes
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides parallel. A square is such a quadrilateral, so a square is a parallelogram.
_____
A rhombus is a special case of parallelogram in which adjacent sides are the same length.
A square is a special case of rhombus in which the angles are 90°. Hence a square is a special case of parallelogram.
__
An alternate route to the same conclusion is ...
A rectangle is a special case of parallelogram in which vertex angles are 90°.
A square is a special case of rectangle in which adjacent sides are the same length. Hence a square is a special case of parallelogram.
Solve the following rational equation for x.
2x-3/5 = x-2/4
Answer:
x=0.1
Step-by-step explanation:
Is x = -4 a solution to these equations? Show your work and write YES or NO.
1. 3(2x-4) = -36
2. 5x - 6x - x = 18
3. 5 - 2(3x - 1) = 31
Answer:
1. Yes
2. No
3. Yes
Step-by-step explanation:
We have three equations where x is equal to -4. We are then asked if -4 are a solution to these equations.
To solve we need to substitute the x in every equation for -4. Start :
1.
3(2(-4) - 4) = -36
3(-8 - 4) = -36
-24 - 12 = -36
Therefore -4 is a solution.
2.
5(-4) - 6(-4) - (-4) = 18
-20 + 24 + 4 = 18
4 + 4 = 18
8 ≠ 18
Therefore -4 is not a solution.
3.
5 - 2(3(-4) - 1) = 31
5 - 2(-12 - 1) = 31
5 - 2(-13) = 31
5 + 26 = 31
Therefore -4 is a solution.
Need help on only 27 please need ASAP thanks
Answer:
8 is not in the solution set
Step-by-step explanation:
Given, -y + 7 < -4
To find out if 8 is in the solution set, substitute y = 8 in the inequality and solve to see if the statement would be true.
Thus:
-8 + 7 < -4
-1 < -4
This -1 is less than -4. This is actually not TRUE. -1 is rather greater than -4.
Therefore, 8 is not in the solution set.
A system of equations where both X and Y cancel and you are left with just a number is called
It takes 26 pounds of seed to completely plant a 4-acre field.
How many acres can be planted per pound of seed?
Answer:
0.153846154
Step-by-step explanation:
26 pounds for 4 acres
1 pound will need less acres
Please help
look at picture
supplementary angles
Answer:
x=56
Step-by-step explanation:
(2x-3)degrees+71 degrees=180 degrees because they are supplementary angles
This simplifies to 2x+68=180 because -3+71 is 68.
2x+68=180
2x=180-68
2x=112
x=112/2
x=56
A metal measuring tape expands when the temperature goes above 50°F. For every
degree Fahrenheit above 50, its length increases by 0.00064%.
1. The temperature is 100 degrees Fahrenheit. How much longer is a 30-foot measuring
tape than its correct length?
Answer:
The answer is 0.0096
Step-by-step explanation:
which is 0.00032 multiplyed by 30
Answer: the answer is 0.0096
Step-by-step explanation: 0.00032 multiplyed by 30
Please help meeeeeeeeeeeeeeeeee
Answer:
The answer is A.
Step-by-step explanation:
Find the volume of the rectangular prism. 4 in 3 [in 4 in 4 in
Answer:
12
Step-by-step explanation:
Kevin draws out one M&M without looking.
· What is P(green)?
· What is P(red)?
· What is P(~Yellow)?
· What is P(~Orange)?
Answer:
1/6
Step-by-step explanation:
M&M comes in 6 colors.
So, P(green), = 1/6
P(red) = 1/6
· P(Yellow) = 1/6
· P(Orange) = 1/6
Bella makes 579 bracelets to sell. She wants to pack the bracelets into 12 boxes. 50 bracelets are packed into each of the first 11 boxes. How many bracelets will be packed into the last box?
Easton is driving to a concert and needs to pay for parking. There is an
automatic fee of $8 just to enter the parking lot, and when he leaves the lot,
he will have to pay an additional $3 for every hour he had his car in the lot.
How much total money would Easton have to pay for parking if he left his car
in the lot for 2 hours? How much would Easton have to pay if he left his car in
the lot for t hours?
Answer:
If he left the car in the lot for 2 hours, he would have to pay 14 dollars. if he left it for "t" hours, he would have to pay 11 + 3t dollars
Step-by-step explanation:
Think of it like this: "a" represents the total amount of money Easton will spend, t represents time in hours. $11 + $3*t = a
Find the quotient: 68/6
Answer:
The answer is 11. 2 is the remainder
Step-by-step explanation:
hope this helps
Carlos has a box of coins that he uses when playing poker
Number
with friends. The box currently contains 47 coins
Denomination of Coins Val
consisting of pennies, dimes, and quarters. The number of 0.01
pennies is equal to the number of dimes, and the total
value is $4.34. How many of each denomination of coin
does he have?
Answer:
d + 10d + 25q = 229.
Step-by-step explanation:
PLEASE HELP GEOMETRY
Answer:
Step-by-step explanation:
what is 1000000000÷10?
Answer:
Step-by-step explanation:
If you're dividing a number by 10, just remove one zero, so we have: 1000000000÷10 = 100000000.
Answer: 100,000,000
Step-by-step explanation:
1,000,000,000/10 = 100,000,000
How many ways are there to add three positive even numbers to get a sum of 20? Solve this
problem by making a systematic list, then state your solution.
Help!!!!! can you show your work too thanks
Answer:
no entender veri mucho......aaaa
A website sells custom messenger bags in 5 sizes. For each size, there are 52 color/fabric combinations. Any of these 52 can be chosen for the left, center, and right panel. In addition, there are 18 different choices of binding color, 26 choices of logo color, 12 choices of liner color, and 49 choices of strap pad color. There are 2 choices for the interior style. The bag can be right- or left-handed. It can be ordered with or without a grab strap, a chiller insert, a camera insert, and a water bottle pocket. How many different bags are possible?
Answer:
1.238 * 10^13
Step-by-step explanation:
Number of sizes = 5
Color combination per size = 52
Panel option for each combination = 3
Binding color = 18 choices
Logo color = 26 choices
Liner color = 12 choices
Strap pad color = 49 choices
Interior style = 2 choices
Right or led handed = 2 choices
Chiller or not = 2 choices
Grab strap or not = 2 choices
Camera insert or not = 2 choices
Water bottle pocket or not = 2 choices
(5 x 52^3 * 18 * 26 * 12 * 49 * 2^6)
= 12381782999040
= 1.238 * 10^13 choices