Solution
To find coterminal angles we add 2pi n
to the angle, where n is some integer, positive, negative, or zero.
Therefore when we find n, the answer will be
\(\frac{44\pi}{9}+2\pi\cdot n\)Since we want the coterminal angle to be between 0 and 2pi,
we write an inequality which indicates that:
\(\begin{gathered} 0<\frac{44\pi}{9}+2\pi\cdot n<2\pi \\ \text{ Dividing all through by }\pi \\ \Rightarrow0<\frac{44}{9}+2\cdot n<2 \\ \text{ Multiply all through by }9 \\ \Rightarrow0<44+18n<18 \\ \\ \Rightarrow-44<18n<18-44 \\ \\ \Rightarrow-44<18n<-26 \\ \Rightarrow-\frac{22}{9}when n = -1\(\Rightarrow\frac{44\pi}{9}+2\pi\cdot n=\frac{44\pi}{9}-2\pi=\frac{26}{9}\pi\)Hence, the value of a is 26
and the value of b is 9
4. P/E Ratios. Favorita Candy’s stock is expected to earn $2.40 per share this year. Its P/E ratio is 18. What is the stock price? (LO7-1)
Answer:
2.4*18 = $43.2
stock price is $43.2
Step-by-step explanation:
A pound of rice crackers cost 42.88 Jacob purchased a 1/4 pound how much did he pay for the crackers?
Answer:
10.72
Step-by-step explanation:
The price per pound is 42.88
We are getting 1/4 pound.
Multiply 42.88 by 1/4
42.88 * 1/4 =10.72
Answer:
So you know that a pound of rice crackers cost $42.88. You also know that Matthew bought 1/4 or 25% or 0.25 of a pound. This means that by 42.88 divided 4 will equal the answer.
42.88 ÷ 4 = 10.72
Therefore, Matthew paid or $10.72 for 1/4 pound of rice crackers.
1 kilometer equaks how many meters
Answer:
the answer is 1000 metres
You Paid $600 for a new guitar. Your guitar cost $40 more than twice the cost of your friends guitar. How much did your friends guitar cost? 20
Answer: 340
Step-by-step explanation: +the answer is $340 to find the answer you need to take $600 and since its twice the cost plus $40 you divide $600 by 2 then you add $40 $600/2 +$40=$340
Answer: The Answer Is $340
Step-by-step explanation:
What is pickle+pizza
Step-by-step explanation:
a great time lol....
an enjoying time with pizza...yummm...lol
There are two outcomes...
Either Piczle (sounds like pixel)
or
Pizcle
please help me i’ll give you brainlist
Answer:
63205.5
125+125+126+126+126+126+127+129+130+130+132+134=126,411
126,411/2=63205.5
Solve for g. Show your work!
g + 7 - 4 = 15
Answer:
g = 12
Step-by-step explanation:
First, simplify by subtracting 4 from 7:
g + 7 - 4 = 15
g + 3 = 15
Solve for g by subtracting 3 from both sides:
g = 12
So, the answer is g = 12
Simplify by subtracting 4 from 7:
g + 7 - 4 = 15
g + 3 = 15
Solve for g by subtracting 3 from both sides:
g = 12
answer is g = 12
A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 666 centimeters per minute. After 202020 minutes, the water level is 220220220 centimeters.
Graph the relationship between the pool's water level (in centimeters) and time (in minutes).
I cant graph it on here but. if your graph goes by 10 then the slope should increase by 666 every minute on the x line
Answer:
The answer is in the screenshot
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
some drivers driving over the speed limit are invited to go to a speed awareness course instead of getting penalty points.
There is a maximum speed at which a person can drive and be invited to a speed awareness course.
this speed is given by this formula.
M=1.1L +9
where
M is the speed in miles per hour
L is the speed limit
calculate M when L =30miles per hour?
Answer: To calculate M when L = 30 miles per hour, we can simply substitute the value of L into the formula for M:
M = 1.1L + 9
M = 1.1(30) + 9
M = 33 + 9
M = 42
Therefore, when the speed limit is 30 miles per hour, the maximum speed at which a driver can be invited to a speed awareness course is 42 miles per hour.
Step-by-step explanation:
Simplify 2.54 + 1.5 × 4
1) The probability that an individual is left-handed is 12%. In a randomly selected class of 30 students, what is the probability of finding exactly 4 left-handed students?
2) Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that exactly six of them will consider themselves knowledgeable fans.
Answer:
0.2047
0.2377
Step-by-step explanation:
1.
What we have here is a binomial distribution
Probability p = 0.12
N = number of students in the class = 30
Probability of finding 4 left handers
P(x = 4) = 30C4 x (0.12)⁴ x (0.88)²⁶
= 27405 x 0.00020736 x 0.03602047835
= 0.2047
2.
This is also a binomial distribution
N = 10 p = 0.65
P(of 6 knowledgeable fans)
= 10C6 x (0.65)⁶ x (0.35)⁴
= 210 x 0.0754189 x 0.01500625
= 0.2377
ill mark brainlist plss help
Answer:
MARK HIM BRAINLIEST
Step-by-step explanation:
Mr. House wrote 8 tenths minus 5 hundredths on the board. Maggie said the answer is 3 hundredths
because 8 minus 5 is 3. 5 Is she correct? Explain.
A store opens at 8am. From 8 until 10am customers arrive at a Poisson rate of four an hour. Between 10am and 12pm they arrive at a Poisson rate of eight an hour. From 12pm and 2pm the arrival rate increases steadily from eight per hour at 12pm to ten per hour at 2pm; and from 2 to 5pm the arrival rate drops steadily from ten per hour at 2pm to four per hour at 5pm. Determine the probability distribution of the number of customers that enter the store on a given day.
The probability distribution of the number of customers that enter the store on a given day is described as follows:
Poisson with a mean of 70 customers.
What is the Poisson distribution?In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number.\(\mu\) is the mean in the given interval or range of values of the input parameter.A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:
8 customers from 8 am to 10 am.16 customers from 10 am to 12 pm.18 customers from 12 pm to 2 pm. (the average over the interval is of 9 an hour).28 customers from 2 pm to 5 pm.Hence the mean is of:
8 + 16 + 18 + 28 = 70 customers.
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Brianna buys a $5400 refrigerator using an installment plan that requires 18% down and a 4.1%
interest rate. How much is her down payment?
LOL PLS HELP ME
Answer:
her down payment is her down payment.........
Step-by-step explanation:
B sus
If AABC= AMNO, then what corresponding angle is congruent to angle N?
Answer:
.aabc=amn0#1211
Step-by-step explanation:
nosascoOsasco n=12.8
An amount of Birr 500 is deposited in an account at the end of each six-month period with an interest computed at 6% compounded semi-annually. How many years does it take for the amount to reach Birr 56,398.43?
It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.
To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount
P = Principal amount (initial deposit)
r = Annual interest rate (in decimal form)
n = Number of compounding periods per year
t = Number of years
In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.
We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.
Let's substitute the given values into the formula and solve for t:
56,398.43 = 500(1 + 0.06/2)^(2t)
Divide both sides by 500:
112.79686 = (1 + 0.03)^(2t)
Take the natural logarithm of both sides to eliminate the exponent:
ln(112.79686) = ln(1.03)^(2t)
Using the property of logarithms, we can bring down the exponent:
ln(112.79686) = 2t * ln(1.03)
Now, divide both sides by 2 * ln(1.03):
t = ln(112.79686) / (2 * ln(1.03))
Using a calculator, we find t ≈ 17.12.
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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
16
Answer: \(8\sqrt{3}\)
Step-by-step explanation: x^2 + b^2 = c^2 x^2 + 8^2 = 16^2 x^2 + 64= 256 x^2= 192 x= \(\sqrt{192}\) x= 8\(\sqrt{3}\)
Please help me! How much would you expect gas to cost in 2030. Show your work.
Answer:World Bank expects the natural gas price at Henry Hub to increase to $4 per MMBtuStep-by-step explanation:
(x+4)(x^2-5x+3) multiply the polynomials
9514 1404 393
Answer:
x^3 -x^2 -17x +12
Step-by-step explanation:
Use the distributive property and collect terms.
(x +4)(x^2 -5x +3) = x(x^2 -5x +3) +4(x^2 -5x +3)
= x^3 -5x^2 +3x +4x^2 -20x +12
= x^3 -x^2 -17x +12
Penelope goes out to lunch. The bill, before tax and tip, was $16.05. A sales tax of 3% was added on. Penelope tipped 18% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.
Answer:
2.98
Step-by-step explanation:
First find 3% of 16.05 which is 0.48.
Then add 0.48 to 16.05 which is 16.53.
Then multiply .18 by 16.53 which gets you 2.98
Hope it helps
Answer:
To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:
Sales tax = 0.03 x $16.05 = $0.48
To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:
Total bill = $16.05 + $0.48 = $16.53
To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:
Tip = 0.18 x $16.53 = $2.98
Rounding to the nearest cent, Penelope left a tip of $2.98.
Step-by-step explanation:
how many different three digit numbers can be formed using the digits 9 3 4 7 and 6 assume the number can be used more than once?
Answer:
60
Step-by-step explanation:
help me with this problem
a) The slope of the linear function is given as follows: m = 40, meaning that each day, the balance of the account increases by $40.
b) The function is given as follows:
Slope-intercept: y = 40x + 600.Point-slope: y - 600 = 40x.Standard: 40x - y = -600.c) The function notation is given as follows: g(x) = 40x + 600.
d) The balance after 7 days is given as follows: $880.
How to obtain the equations?From the table, when x increases by 3, g(x) increases by 120, hence the slope m is given as follows:
m = 120/3
m = 40.
Then the slope-intercept notation of the function is given as follows:
y = 40x + 600.
The remaining notations are:
Point-slope: y - 600 = 40x.Standard: 40x - y = -600.Function: g(x) = 40x + 600.Hence the balance after 7 days is given as follows:
g(7) = 40(7) + 600
g(7) = $880.
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If you know the answer please put the answer and the explanation thank you.
In the class, Lucy's score is 6.
How to work out Lucy's score?In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.
The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.
Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.
Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:
2 + 2 + 4 + 7 = 15
Thus, the the corresponding score at the 15th position is 6.
Therefore, the median score is 6 and consequently Lucy's score is 6.
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prove that if n2 is divisible by 3, then n is divisible by 3. (use contraposition, the quotient remainder theorem, and cases.)
The contraposition statement is true in all applicable cases, we can conclude that the original statement is also true. Therefore, if n2 is divisible by 3, then n is divisible by 3.
To prove that if n2 is divisible by 3, then n is divisible by 3, we will use contraposition, the quotient remainder theorem, and cases.
First, we will use contraposition to restate the original statement. The contraposition of "if n2 is divisible by 3, then n is divisible by 3" is "if n is not divisible by 3, then n2 is not divisible by 3."
Next, we will use the quotient remainder theorem to divide n by 3. According to this theorem, we can write n as 3q + r, where q is the quotient and r is the remainder. There are three possible cases for the value of r: 0, 1, or 2.
Case 1: r = 0
In this case, n is divisible by 3, so this case does not apply to the contraposition statement.
Case 2: r = 1
In this case, n = 3q + 1, so n2 = (3q + 1)2 = 9q2 + 6q + 1. This expression is not divisible by 3, so the contraposition statement is true in this case.
Case 3: r = 2
In this case, n = 3q + 2, so n2 = (3q + 2)2 = 9q2 + 12q + 4. This expression is not divisible by 3, so the contraposition statement is true in this case.
Since the contraposition statement is true in all applicable cases, we can conclude that the original statement is also true. Therefore, if n2 is divisible by 3, then n is divisible by 3.
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Sorry am dumb I need help pls hurry:/
Answer:
x = ±20
Step-by-step explanation:
Step 1: Write equation
x² = 400
Step 2: Square root both sides
x = ±√400
x = ±20
Step 3: Check
Plug in x to verify it's a solution.
20² = 400
400 = 400
(-20)² = 400
400 = 400
749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
it is due today, please help me. If you just want points get out of my question page...
To completely solve the problem, Karim should convert the product back into standard decimal notation.
We cannot directly apply the product of powers property because the binomial is not raised to a power itself.
Miscellaneous problem(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).
0.0258 × \(10^{-8\) = 0.0258 × 0.00000001
= 0.000000000000258
(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.
In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.
To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.
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Need help ASAP !!!
Solve for u
Answer:
3.46 or ..
\( 2\sqrt{3} \)
Step-by-step explanation:
because you use sin(60) = 3/u
Answer this with explanation please
The measure of angle MTU m∠MTU is 114 degree.
What is the measure of angle MTU?From the figure in the diagram:
Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.
m∠STU = 145°m∠STM = 31°m∠MTU = ?Since, angle STU composes or is the sum of angle STM and angle MTU.
To find angle MTU, simply subract angle STM from angle STU.
m∠STU = m∠STM + m∠MTU
Hence:
m∠MTU = m∠STU - m∠STM
Plug in the given values and simplify
m∠MTU = 145° - 31°
Subtract 31 from 145
m∠MTU = 114°
Therefore, angle MTU measure 114°.
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