Answers
Answer:
∠ ABC = 37°
Step-by-step explanation:
Angles on the circle subtended by the same arc are congruent.
∠ ABC and ∠ ADC are angles on the circle subtended by arc AC , then
∠ ABC = 37°
Related Questions
Find y' if y= In (x2 +6)^3/2
y'=
Answers
Answer:
[tex]\displaystyle y' = \frac{3xln(x^2 + 6)^{\frac{1}{2}}}{x^2 + 6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
ln Derivative: [tex]\displaystyle \frac{d}{dx} [lnu] = \frac{u'}{u}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = ln(x^2 + 6)^{\frac{3}{2}}[/tex]
Step 2: Differentiate
[Derivative] Chain Rule: [tex]\displaystyle y' = \frac{d}{dx}[ln(x^2 + 6)^{\frac{3}{2}}] \cdot \frac{d}{dx}[ln(x^2 + 6)] \cdot \frac{d}{dx}[x^2 + 6][/tex][Derivative] Chain Rule [Basic Power Rule]: [tex]\displaystyle y' = \frac{3}{2}ln(x^2 + 6)^{\frac{3}{2} - 1} \cdot \frac{d}{dx}[ln(x^2 + 6)] \cdot \frac{d}{dx}[x^2 + 6][/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{3}{2}ln(x^2 + 6)^{\frac{1}{2}} \cdot \frac{d}{dx}[ln(x^2 + 6)] \cdot \frac{d}{dx}[x^2 + 6][/tex][Derivative] ln Derivative: [tex]\displaystyle y' = \frac{3}{2}ln(x^2 + 6)^{\frac{1}{2}} \cdot \frac{1}{x^2 + 6} \cdot \frac{d}{dx}[x^2 + 6][/tex][Derivative] Basic Power Rule: [tex]\displaystyle y' = \frac{3}{2}ln(x^2 + 6)^{\frac{1}{2}} \cdot \frac{1}{x^2 + 6} \cdot (2 \cdot x^{2 - 1} + 0)[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{3}{2}ln(x^2 + 6)^{\frac{1}{2}} \cdot \frac{1}{x^2 + 6} \cdot (2x)[/tex][Derivative] Multiply: [tex]\displaystyle y' = \frac{3ln(x^2 + 6)^{\frac{1}{2}}}{2} \cdot \frac{1}{x^2 + 6} \cdot (2x)[/tex][Derivative] Multiply: [tex]\displaystyle y' = \frac{3ln(x^2 + 6)^{\frac{1}{2}}}{2(x^2 + 6)} \cdot (2x)[/tex][Derivative] Multiply: [tex]\displaystyle y' = \frac{3(2x)ln(x^2 + 6)^{\frac{1}{2}}}{2(x^2 + 6)}[/tex][Derivative] Multiply: [tex]\displaystyle y' = \frac{6xln(x^2 + 6)^{\frac{1}{2}}}{2(x^2 + 6)}[/tex][Derivative] Factor: [tex]\displaystyle y' = \frac{2(3x)ln(x^2 + 6)^{\frac{1}{2}}}{2(x^2 + 6)}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{3xln(x^2 + 6)^{\frac{1}{2}}}{x^2 + 6}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Does the mapping diagram represent a function? Why or why not?
х
y
-6
10
2
Answers
Answer:
use mathwy
Step-by-step explanation:
its better for a. expansion
The equation 3x2 – 5x + 7 = 0 has
A. Two real distinct roots
B. Two equal roots
C. Two Imaginary roots
D. 3 real distinct roots
Answers
Answer:
C
Step-by-step explanation:
I NEED THE ANSWER NOW! PLEASE! THE QUESTION IS DUE TOMMOROW. Find the area of the shaded polygon:
Answers
You can divide it to 6 square and a triangle
The triangle is 2
2 + 6 = 8
Solve the system of equations.
8x + 16y = -42
- 2x + 3y = 7
A. (-4,1)
B. (0.5, -2.69)
C. (4.3, 0.5)
D. (-4.25, -0.5)
Answers
A machine used to fill beverage cans is supposed to supply exactly 16 ounces toeach can, but the actualamount supplied varies randomly from can to can. The machine is calibrated so that the population standard deviation is 0.04 ounces. How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence
Answers
Answer:
48 cans must be sampled.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The machine is calibrated so that the population standard deviation is 0.04 ounces.
This means that [tex]\sigma = 0.04[/tex]
How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence?
n cans must be sampled, and n is found when M = 0.015. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.015 = 2.575\frac{0.04}{\sqrt{n}}[/tex]
[tex]0.015\sqrt{n} = 2.575*0.04[/tex]
[tex]\sqrt{n} = \frac{2.575*0.04}{0.015}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.04}{0.015})^2[/tex]
[tex]n = 47.2[/tex]
Rounding up, 48 cans must be sampled.
what is the number 21.0384 rounded to the nearest hundredth?
Answers
Answer:
21.04
Step-by-step explanation:
the 8 is closest to 10 so that would make the 3 a 4.
Find the volume of a rectangular prism with length of 5, height of 2 and
depth of 6. *
10
30
12
60
Answers
Answer:
its 60
Step-by-step explanation:
the other answer is a scam
Responder:60
Help please hurry it not a test but hurry no links, please
Answers
Answer:
33 1/3%
Step-by-step explanation:
The percentage change is ...
difference/base × 100% = (120000 -90000)/90000 × 100%
= 1/3 × 100% = 33 1/3%
)
Which recursive definition could be used to generate the sequence {1, 5, 11, 19, 29...)?
A)
ay = 1 and a, = a -1 + 2n
B)
a = 1 and an = an-1 + 4n
ay = 1 and an = an-1 + 5n
D)
a1 - 1 and an = an-1 +6n
Answers
Answer:
d
Step-by-step explanation:
just trying to help but i don;t know if isss right so sorryy
Answer:
A
Step-by-step explanation:
I did the prep
what does 2 1/4 round to?
A) 2
B) 3
C) 1
D) 2 3/4
WHO EVER GETS IT CORRECT FIRST WILL BE BRAINLEST
Answers
Answer:
2 is the answer
Step-by-step explanation:
The answer would be A) 2 Because when rounding you go to the nearest whole number. 2 is only 1/4 from 2 1/4 while 3 is 3/4 away and C) 1 is lower than answer A) 2, And Option D) 2 3/4 isnt even a valid option because its not a whole number/
Answer: A) 2
if m 1 =7x and m 4 =3x +20 what is the value of x
Answers
Answer:
this is a wild guess but 10.
Step-by-step explanation:
Not sure if you're allowed to do this but i added the x's
7x+3x= 10x
10x+20.
I then subtracted 10 by both sides. That leaves me with 10.
x =10
this is a guess i apologize if it's wrong
Two angle measures of a triangle are 35° and 50° . What is the measure, in degrees, of the other angle?
Answers
The measure of the third angle of the triangle is 95°
According to the triangle theorem :
The sum of the angles in a triangle is 180° ; i.e Given a triangle A, B and C ; the sum of it's angles :
A + B + C = 180°
Hence, for a triangle with two of it's sides being ; 35° and 50°
Let the third angle = x
The third angle will be :
180° = (35° + 50° + x)
180° = 85° + x
x = 180° - 85°
x = 95°
Hence, the measure of the third angle is 95°
Learn more : https://brainly.com/question/14780489
if cos 25°=K , determine cos50°
Answers
Answer:
cos 50⁰ = cos 2.25⁰ = 2cos²25⁰ - 1 = 2K² - 1
A novelist can write 3 1/2 pages in 1/3 of an hour. How many pages can she write in one hour?
Answers
Answer:
LG sjsjsjdjdbvebsjsuwknsnsbbskoejenndnd
Answer:
12 pages
Step-by-step explanation:
3 1/2 pages = 1/3 hour
? pages = 1 hr
; Cross multiply. Multiply 1 times 3 1/2 which is 4. Then, divide 4 by 1/3.
4/1 times 3/1 which equals 12 pages.
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.
probability of two bananas
p( two bananas )
Answers
Rory earned an 84% on his test. He answered 21 questions correctly. How many total questions were on the
test? Round to the nearest tenth if necessary
Answers
Answer:
21 is 84% to 25, so there would be 25 total questions on the test
What is the measure of ∠B?
A is 28 degrees
C is 36 degrees
Answers
Answer:
The measure of angle B is 116
Step-by-step explanation:
Answer:
B=118 degrees
Step-by-step explanation:
All triangles are meant to be exactly 180 degrees. So 180 - (28 +36) =B =118 degrees
y=mx+b
?????????????
Answers
Answer:
??
Step-by-step explanation:
thats the slope equation, m is your slope, x is your variable, and b is your y interger or whatever's (0,y)
which phrase in paragraph 3 of "The pit and the Pendulum" most strongly contributes to a mood of trade
F fecuent and thoughts endeavors to remember
6 buod reason of a later epoch
= a vague homer at my heart
call to mind fitness and dampness
Answers
Answer:
"and motion, and touch—a tingling
sensation pervading my frame. Then the mere consciousness
of existence, without thought—a condition which lasted
long. Then, very suddenly, thought, and shuddering terror,"
How much money will the movie theater make if a birthday party of 12 kids each buys a box of candy and a soda but does not go see a movie?
candy $3.75
soda is $4.00
Answers
Answer:
$93
Step-by-step explanation:
12(3.75+4.00)
= 93
What is 5+5? Please help the lol
Answers
Answer:
10
Step-by-step explanation:
5+5=10
your answer is 10
Answer:
10
Step-by-step explanation:
1+1= 2
1+1 = 2
2+2= 4
4 + 1 = 5
5 + 5 = 10
Please help meh out wit this :>
Answers
Answer:
Goodluck
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!!!!!!
Answers
The following data are the daily number of minutes of smartphone use for a random sample of 8 students at your institution:
117, 156, 89, 72, 116, 125, 101, 100.
Required:
a. Test the null hypothesis according to which the true mean is greater or equal to 100 min against the alternative that it is less than 100. Use a significance level of 5% (state the null and the alternative hypothesis, the test statistic and the conclusion).
b. Compute a 90% confidence interval for the true mean number of minutes per day a student uses his or her smartphone. Is your finding consistent with your answer in (a) (Explain why or why not)
Answers
Answer:
We fail to reject the Null ;
(88.323, 130.677)
Step-by-step explanation:
Given the data :
117, 156, 89, 72, 116, 125, 101, 100
H0 : μ ≥ 100
H1: μ < 100
From the data: using calculator :
Mean, x = 109.5
Standard deviation, s = 25.33
The test statistic:
(x - μ) ÷ s/Sqrt(n)
(109.5 - 100) ÷ 25.33/sqrt(8)
Test statistic = 1.06
Since, same size is small, we use t test ;
Using the Pvalue calculator :
T at df = 8 - 1 = 7, α = 0.05
Pvalue = 0.161
Pvalue > α
0.161 > 0.05 ; Hence, we fail to reject H0.
B.)
C. I = mean ± Tcritical *s/√n
Tcritical = 2.365 at 95% and df = 7
109.5 ± 2.365(25.3264/√8)
109.5 ± 2.365(8.9542)
(109.5-21.1768 ; 109.5+21.1768)
(88.323, 130.677)
In conclusion true mean is in the confidence interval, so it is consistent.
Help please I give brainliest serious plz
Answers
Answer:
brainlisdt pplease
Step-by-step explanation:
which expressions are equivalent to 2 In a +2In b- In a?
Answers
You can also subtract the two logs with a. Then you can condense to a single log. Either way gives you the same answer
The chart shows the temperatures at noon during a week in January. HELP
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Temperature
-6°F
0°F
5°F
-3°F
3°F
Which day was the coldest?
A. Monday
B. Tuesday
C. Thursday
D. Friday
Answers
Monday was the coldest day of the week, at -6 degrees Fahrenheit.
A bag contains colored tiles.
33 tiles are red
66 tiles are green
33 tiles are blue
A tile will be randomly selected from the bag. What is the on
probability in decimal form that the tile selected will be green?
Answers
Answer:
0.5
Step-by-step explanation:
Add everything together 33+66+33 = 132
Then 66/132, = 1/2 or 0.5
Write an emergency that could happen that would have a financial cost
Answers
Answer:
Your house burning down.
Step-by-step explanation:
You would have to pay to repair it.
Answer:
Earthquake will make the building crash and people will lost their things and money. And the building need to rebuild.
The building fire will make people lost their things and the building need to rebuild.
Tsunami will make the things near beach all destroy, all the things will lost and more people will die in disaster. All the building need to rebuild in this disaster.
Bank robbery will lost money, sometimes people will kill by the gun of the thief, and the building do not need to rebuild, maybe the window need to rebuild.
Rob the shop will make the boss of the shop lose all the money in the store, the door or window might need to rebuild.
Blasting vehicle will make the things in the car lose. the car need to put the windows on again.
Terrorist attacks will lost lives more than lost money or other things.
Volcanic eruptions will make the building near burn, and so plant and many other things. The building might need to rebuild.
That is all I can think of.