Answer:
3600
Step-by-step explanation:
lcm stands for "lowest common multiple"
the lcm is 3600 when done with the prime factorization process
Answer:
3600
Step-by-step explanation:
Express each number as a product of its prime factors, that is
36 = 2² × 3²
75 = 3 × 5²
80 = \(2^{4}\) + 5
Now multiply each factor the greatest number of times it occurs in each of the 3 numbers.
2 → 4 times (that is \(2^{4}\) )
3 → twice (3² )
5 → twice (5² )
Thus
LCM = \(2^{4}\) × 3² × 5² = 16 × 9 × 25 = 3600
Ray BD bisects ABC so that m
Answer:
Step-by-step explanation:
I hate this app! its so horrible rate me bad I dont care I hate YOU
please solve this
I will mark brainleistttttttttt
Answer:
-285
Explanation:
I did it on my calculator
Solve the application problem. Ricky used a square piece of fabric to make a banner for a pep rally. The length of each side of the fabric was 4 feet. Find the perimeter of the piece of the piece of fabric. 18 feet 16. feet 9 feet 204 feet
Answer:
16 ft.)
Step-by-step explanation:
You would first do 4 x 4 since there is 4 sides, which would give you 16
hope you have a good day!
A polygon with an area of 10 square inches is dilated by a scale factor of 4, what is the new area?
The new area would be 40 square inches. When a scale factor dilates a polygon, the area is multiplied by the square of the scale factor. If the original area is 10 square inches and the scale factor is 4, the new area would be 10 x 4^2 = 10 x 16 = 40 square inches.
2+2=?
to those who wanna answer easy questions!
Answer:
4
Step-by-step explanation:
What you will need to do is add 4
the 2 to the other 2 which will get you 4
Answer:
4
Step-by-step explanation:
1+1 equal 2
2+2 equal 4
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Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, x 2 5 Cost, y 8.50 15.25 22.00 31.00 8 12 What is the y-intercept of this function? 0 2.25 4.00 6.50 O 17.13
Answer:
4.00
I just did the question
Answer:
The Answer is B. 4.00
Step-by-step explanation:
Micah was given $200 for his birthday. Each week he spends $15 on comic books. In how many weeks will his birthday
money be gone?
Create multiple representations (table, graph, and equation) for the relationship between the weeks since Micah's birthday
and how much money he has left. How does each representation show the solution to the problem?
Answer:
14 weeks
Step-by-step explanation:
Simply divide 200 by 15, then round up because the answer should be a full week:
200 / 15 = 13.3333 ≈ 14 weeks
For an equation, let x be weeks passed and y be money left. Since the money is spent at a constant rate, the equation will have a constant slope, and the y intercept is 200, since at no money spent, Micah has $200:
y = -15x + 200
For a ratio table, it might look something like this:
weeks : money
0 : $200
1 : $185
2 : $160
3 : $145
Answer:
v= -15x + 200 x 213.33 weeks 6= 15x + 200 the answer is 13
Hey, do u want to g mail?
Extensive experience with fans of a certain type used in diesel engines has suggested that the exponential distribution provides a good model for time until failure. Suppose the mean time until failure is 23,100 hours.
(a) What is the probability that a randomly selected fan will last at least 20,000 hours?
What is the probability that a randomly selected fan will last at most 30,000 hours?
What is the probability that a randomly selected fan will last between 20,000 hours and 30,000 hours?
(b) What is the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations?
What is the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations?
Answer:
0.4207149;0.7271136; 0.3063987; 0.04979 ; 0.01832
Step-by-step explanation:
For an exponential distribution:
IF Mean time until failure = 23100
λ = 1/ 23100 = 0.0000432900
What is the probability that a randomly selected fan will last at least 20,000 hours
x ≥ 20000
P(X ≥ 20000) = 1 - P(X ≤ 20000)
1 - P(X ≤ 20000) = [1 - (1 - e^(-λx))]
1 - P(X ≤ 20000) = [1 - (1 - e^(-0.0000432900*20000)
1 - P(X ≤ 20000) = [1 - (1 - 0.4207148)]
1 - P(X ≤ 20000) = 1 - 0.5792851
1 - P(X ≤ 20000) = 0.4207149
11) What is the probability that a randomly selected fan will last at most 30,000 hours?
x ≤ 30000
P(X ≤ 30000) = 1 - e^(-λx)
P(X ≤ 20000) = 1 - e^(-0.0000432900*30000)
= 1 - e^(−1.2987)
= 1 - 0.2728863
= 0.7271136
111) What is the probability that a randomly selected fan will last between 20,000 hours and 30,000 hours?
0.7271136 - 0.4207149 = 0.3063987
B) What is the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations?
More than two standard deviation
X = 23100 + 2(23100) = 23100 + 46200 = 69300
Using the online exponential probability calculator :
P(X > 69300) = 0.04979
C) What is the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations?
X = 23100 + 3(23100) = 23100 + 69300 = 92400
P(X > 92400) = 0.01832
carlos invested $5400 for 6 years at 5.2% p.a. simple interest. At the end of the 6 years, he withdrew the capital and invested the interest only for another 4 years. How much interest did he receive in total over this 10 year period?
Write 0.00000000568 in proper scientific notation.
Answer:
568 to the negative power of 8
so. -8
568
Does (5, 7) make the equation y = x true?
Answer:
x = y the answer is this...
The height, above the ground, of a block on a vertical spring is a sinusoidal (trigonometric) function of time. In the interval from time 2.1 seconds to time 2.7 seconds, the block's height decreases from its maximum of 48 inches to its minimum of 30 inches. Which function h(t) could model the block's height in inches above the ground at time t seconds?
The cosine function that could model the block's height in inches above the ground at time t seconds is:
h(t) = 9cos(1.67π(x - 2.1)) + 39.
What is the cosine function?The cosine function is defined as follows:
g(x) = acos(bx+c)+d.
The coefficients have these following roles:
a: amplitude.b: The period is of 2pi/B.c: phase shift.d: vertical shift.In this problem, we have that the maximum value is of 48 and the minimum value is of 30(difference of 18), hence the amplitude is given as follows:
2a = 18
a = 9.
A standard cosine function with amplitude 9 would vary the between -9 and 9, while this one varies between 30 and 48, hence the vertical shift is of d = 39.
The minimum and maximum values form half the period, hence:
π/B = 2.7 - 2.1
B = π/0.6
B = 1.67π.
The maximum value in the standard function is at x = 0, while at this function is at x = 2.1, hence the phase shift is of 2.1 units to the right, that is, c = -2.1.
Hence the cosine function is:
h(t) = 9cos(1.67π(x - 2.1)) + 39.
This function is graphed at the end of the answer, showing that the minimum and the maximum values are as desired.
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angle and B are a linear pair if MZA=4mZB find MZA and MZB
Answer:
m∠B = x
m∠A = 4x
x + 4x = 180
5x = 180
x = 180/5
x = 36
m∠B = x = 36°
m∠A = 4x = 4 * 36 = 144°
Answer is b. 144, 36
Step-by-step explanation:
solve the inequality for w. 11 ≤ w - 3
Answer:
w ≥ 14
Step-by-step explanation:
Step 1: Solve
11 ≤ w - 3
11 + 3 ≤ w
14 ≤ w
Therefore w is bigger or equal to 14
Answer:
w ≥ 14Step-by-step explanation:
\(11 \leqslant w - 3 \\ 11 + 3 \leqslant w \\ 14 \leqslant w\)
Step 1 : Collect like terms and simplify
Answer =
w≤14
PLEASE HELP WILL GIVE BRAINLIEST IM TAKING TEST RN
A. 7x + y = 13
B. x−7y=13
C. 7x−y=−13
D. x + 7y = 13
Answer:
I'm not 100% sure however I believe it would be x + 7x
Step-by-step explanation:
You start with what u have and then every week u get $7 each week. So I think this would be the best option however if it isnt right then I'm very sorry.
Hope this helps!
Help asap please!!!
The temperature in Smallville is 30°F one morning. It rises 10 over 5 hours. The equation y = 2x+ 30 was given to represent this situation.
Which of the following tables demonstrates the relationship between the time and temperature in Smallville?
A x 0 1 2 . y 0 2 4
B x 0 1 2 . y 30 32 34
C x 30 35 40 . y 0 1 2
D x 30 32 34 . y 0 1 2
Considering the given linear function, it is found that table B represents the situation.
What is a linear function?A linear function is modeled by:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the function is given by:
y = 2x + 30.
Hence, the y-intercept is of b = 30, that is, when x = 0, y = 30, and the slope of m = 2 means that when x increases by 1, y increases by 2, hence table B is the answer for this question.
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HELP WITH MATH INDUCTIVE OR DEDUCTIVE PLEASE
"Anyone who protrices a hocethorn will be dribbed. Steve was not
dribbed. Therefore, he did not protrice a hocethorn."
O Invalid. The inner circle is those who are dribbed, and the outer circle is those
who protrice a hocethorn.
O Valid. The inner circle is those who are dribbed, and the outer circle is those
who protrice a hocethorn.
O Invalid. The inner circle is those who protrice a hocethorn, and the outer
circle is those who are dribbed.
O Valid. The inner circle is those who protrice a hocethorn, and the outer circle
is those who are dribbed.
Answer: Choice D
Valid. The inner circle is those who protrice a hocethorn, and the outer circle is those who are dribbed.
=======================================================
Explanation:
Refer to the diagram below. It's a visual representation of what choice D is describing.
The "protrice a hocethorn" circle is denoted as "circle P" or simply "P" for short. While circle D refers to those who are dribbed.
If we throw a dart randomly at the inner circle, then we always will land in the outer circle. This is because the inner circle is completely contained within the outer circle. The inner circle is a subset of the outer circle.
If you land in circle P, then you land in circle D.
But Steve did not land in circle D (premise 2). This must mean he could not possibly have landed in circle P.
This is how we reach the conclusion that he did not protrice a hocethorn
For more information, check out the modus tollens rule. Some logic textbooks may refer to it as "denying the consequent".
----------------------------
Here's another example of modus tollens
Premise 1: "If it rains, then the grass gets wet"Premise 2: "The grass did not get wet"Conclusion: "Therefore, it did not rain"We can think of the events "it rains" and "the grass got wet" as two dominoes. If the second domino did not fall over, then there's no way the first one did. This is because first one topples the second.
PLEASE ANSWER ASAP WILL MARK BRAINLIEST
Answer:
First choice
Step-by-step explanation:
Hi I’m a tutor ask me if you need help
Answer:
are you realy a tutor?
Step-by-step explanation:
Please help.........
Answer:
1. it will be a
2. It will be c
-4 is greater than of equal to x - 11
Using the inequality rule we know that 11 is greater than -11, (11 > -11).
What is an Inequality Equation?Mathematical expressions with inequalities are those in which the two sides are not equal.
Contrary to equations, we compare two values in inequality.
Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.
So, let's say the inequality equation looks like this: A
Right now, A is valued at
Let p be used to representing the initial number.
P equals 11, so
Let q be used to representing the second number.
Q has a value of -11.
-11 and 11 are both numbers that are greater than zero.
Then, 11 > -11 ... (1)
A has a value of 11 > -11.
Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).
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Correct question:
Is 11 greater than, equal to, or less than -11?
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
choose the two numerical expressions that correctly represent this phrase: twice the sum of nine and four.
Answer: The two numerical expressions that correctly represent the phrase "twice the sum of nine and four" are:
2 * (9 + 4) = 2 * 13 = 26
2(9 + 4) = 2(13) = 26
Both expressions use the correct mathematical operations to represent the phrase "twice the sum of nine and four" and both will yield the same result of 26.
Step-by-step explanation:
oordinate matrix for differentiation Let P2 be the vector space of polynomials in variablet of degree at most 2. Let L: P2 â P2 be the linear transformation given by L(p(t)) = 2p"(t) + 1p'(t) + 2p(t). Let E = (C1, C2, C3) be the ordered basis of P2 given by ei(t) = 1, ez(t) = t, ez(t) = t?. Find the coordinate matrix Lex of L relative to the ordered basis E. LEE
The required matrix is \(\left[\begin{array}{ccc}1&1&4\\0&1&2\\0&0&1\end{array}\right]\)
Let \(P^2\) be the vector space of Polynomials of degree at most 2.
We assume ordered basis of \(P^2\)
\(E = \{e_1, e_2, e_3 \} = \{1,t,t^2\}\)
\(\text{Let } L: P^2 \rightarrow P^2\) be linear transformation
\(L(P(t)) = 2P^{''}(t) + 1.P^{'}(t) + P(t)\)
\(L(1) = 2 \times 0 + 0 + 1 = 1 = 1.e_1 + 0.e_2 + 0.e_3\)
\(L(t) = 2 \times 0 + 1 + t = 1+t = 1.e_1 + 1.e_2 + 0.e_3\)
\(L(t^2) = 2.2 + 2.t + t^2 = 4e_1 + 2e_2 + 1.e_3\)
Now, we can write \(L_{ee} = A\)
\(\therefore A = \left[\begin{array}{ccc}1&1&4\\0&1&2\\0&0&1\end{array}\right]\)
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Brittany buys a bag of cookies that contains 7 chocolate chip cookies, 8 peanut butter cookies, 6 sugar cookies and 5 oatmeal cookies.
What is the probability that Brittany reaches in the bag and randomly selects an oatmeal cookie from the bag, eats it, then reaches back in the bag and randomly selects a chocolate chip cookie?
The probability of randomly selecting a chocolate chip cookie is:
P = 7/26 = 0.269
How to find the probability?We assume that all the items in the bag have the same probability of being randomly selected.
Then the probability of randomly selecting a chocolate chip cookie is equal to the quotient between the number of chocolate chip cookies and the total number of cookies in the bag.
There are 7 chocolate chip cookies.
There are 7 + 8 + 6 + 5 = 26 cookies in total.
Then the probability is:
P = 7/26 = 0.269
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You deposit $400 into a savings account that earns 5% annual
interest compounded annually. The graph shows the balance of
your investment account over time.
Step-by-step explanation:
F=400(1+0.05/1)^1*t
After 1 year= $ 400.20
2= 400.40
3=$ 400.60
4= $ 400.80
5=$ 401.00
6= $ 401.20
7=$ 401.40
8= $ 401.60
9=$ 401.80
10= $ 402.00
The graph of the balance over every year is plotted. Here, we can see the increase in balance over the years.
What is compound interest?"Compound interest is the addition of interest to the principal sum of a deposit, or in other words, interest on principal plus interest."
Here, the principal is (P) = $400
The interest rate(r) = 5% = 0.05
The time period is = n years
Therefore, after n years balance is = P(1 + r)ⁿ
After 1 year, balance is = $400(1 + 0.05)¹ = $420
After 2 years, balance is = $420(1 + 0.05)¹ = $441
After 3 years, balance is = $441(1 + 0.05)¹ = $463.05
After 4 years, balance is = $463.05(1 + 0.05)¹ = $486.20
After 5 years, balance is = $486.20(1 + 0.05)¹ = $510.51
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Which statement is true for log3(x+1)= 2?
Answer:
og₃ (x+1) = 3
It could be written:
(x+1)= 3³==> x+1 = 27 ==> x =27-1 =26
Step-by-step explanation:
I really hope this helps
One of the authors and some statistician friends have an ongoing series of Euchre games that will stop when one of the two teams is deemed to be statistically significantly better than the other team. Euchre is a card game and each game results in a win for one team and a loss for the other. Only two teams are competing in this series, which we'l call team 1 and team 2.
Required:
a. Define the parameter of interest.
b. What are the null and alternative hypotheses if the goal is to determine if either team is statistically significantly better than the other at winning Euchre?
Answer:
Parameter of interest is the proportion of games won by a certain team.
H0 : p = 0.5
H1 : p ≠ 0.5
Step-by-step explanation:
Parameter refers to any statistical measure which is derived from the population data. Therefore, the parameter of interest in the scenario described above is the proportion of win or loss by a particular team. This could be either team A or team B.
Probability of either of either win or loss :
Proportion, p of win = 0.5
Null hypothesis ; H0 : p = 0.5
Alternative hypothesis ; H1 : p ≠ 0.5
Please help, thanks!