(0.027/64000)⅓
guys pls I need help
Answer:
7.5×10^-3
Step-by-step explanation:
\( \frac{ 0.027}{64000} = \frac{2.7 \times{10}^{ - 2} }{6.4 \times {10}^{4} } \)
due to the law of indices :
\( = 4.21875 \times 10 ^{ - 7} \)
don't forget
(0.027/64000)⅓
so :
\( ({4.21875 \times {10}^{ - 7} })^{ \frac{1}{3} } \)
i.e third root of the answer above
\( = 7.5 \times {10}^{ - 3} \)
The ________ property is valuable because it cuts the number of multiplication/addition facts to be learned in half.
The commutative property is valuable because it cuts the number of multiplication/addition facts to be learned in half.
The commutative property states that numbers can be added or multiplied in any order, without affecting the outcome. It only applies to addition and multiplication. This property makes it possible to minimize the number of multiplication or addition facts that need to be learned, making it a valuable tool.
It is vital to know the commutative property when adding or multiplying numbers because it provides a helpful shortcut to avoid unnecessary calculation. Additionally, the property can be applied to factorization to ease the computation process.The commutative property is one of the most fundamental properties of addition and multiplication. It aids in the simplification of arithmetic computations and minimizes the amount of memorization required to master the basic math facts.
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A math club has a total of 41 girls and boys in it. The number of girls is 5 more than 2 times the number of boys.
Answer:
the answer is an orgy
Step-by-step explanation:
there is no way that many girls and boys are in the same room without having an orgy...
Identify the inequalities A, B, and C for which the given ordered pair is a solution: (0,0)
Answer:
Options (A) and (C)
Step-by-step explanation:
A). The given inequality is,
x + y ≤ 2
Solution area of the inequality is the shaded area below the line.
Since (0, 0) lies in the shaded region, ordered pair will be a solution of this inequality.
B). For the inequality y ≤ \(\frac{3}{2}x-1\)
Since, (0, 0) doesn't lie in the shaded region of this inequality, ordered pair will not be a solution of the inequality.
C). y > \(-\frac{1}{3}x-2\)
In this graph (0, 0) lies in the shaded region of the inequality therefore, it will be a solution of the given inequality.
Therefore, Options (A) and (C) are the correct options.
DON'T COPY CHEGG OR I WILL GIVE YOU DISLIKE GIVE NEWANSWER5 independent 3-variate observations from N(mu, Sigma): (-1,2,4), (-2,0,7), (**,10), (-2,4,8), (0,-1,5) Estimate mu and Sigma by E-M algorithm. Clearly write down the algorithmic steps and implement in R
The E-M algorithm is used to estimate the parameters mu and Sigma. The implementation in R involves defining the likelihood function, initializing the estimates, and using the E-M steps to update the estimates.
The E-M algorithm for estimating the mean and covariance matrix of a multivariate normal distribution from a set of observations can be performed in the following steps
Initialization: Choose initial values for the mean vector and covariance matrix.
Expectation step: Calculate the posterior probabilities of each observation belonging to each component of the mixture model using Bayes' theorem and the current parameter estimates.
Maximization step: Use the posterior probabilities to update the estimates of the mean vector and covariance matrix for each component of the mixture model.
Repeat steps 2 and 3 until convergence (i.e., until the change in the parameter estimates falls below a specified tolerance level).
In this case, we have a single multivariate normal distribution with unknown mean vector and covariance matrix. Therefore, we can perform the E-M algorithm to estimate these parameters directly.
Here is the R code for implementing the E-M algorithm
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How to convert a decimal to a fraction
Step-by-step explanation:
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction
hope it helps
Simplify:5m+3n-2m+n
Answer:
3m+4n
Step-by-step explanation:
5m-2m=3m 3n+n=4n so 3m+4n
Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximize contribution = 3X₁ +5X₂ +7X3 1X₁ +7X₂ + 4X3 ≤ 100 2X1 + 1X₂ + 7X3 ≤ 110 8X₁ + 4X₂ + 1X3 ≤ 100 X₁, X2, X3 20 (C₁: hours on machine 1) (C₂: hours on machine 2) (C3: hours on machine 3) a) Using a computer software for solving LP, the optimal solution achieved is: (round your response to two decimal places). X₁² = X₂ = (round your response to two decimal places). = X3² (round your response to two decimal places). Contribution (objective value) = (round your response to two decimal places). b) Machine 1 has Machine 2 has Machine 3 has hours of unused time available at the optimal solution (round your response to two decimal places). hours of unused time available at the optimal solution (round your response to two decimal places). hours of unused time available at the optimal solution (round your response to two decimal places). dollars to the firm (round your response to two decimal places). c) An additional hour of time available for third machine, is worth d) An additional 5 hours of time available for the second machine, at no cost to the firm, are going to increase the objective value by dollars (round your response to two decimal places).
a) Contribution (objective value) = $132.14
b) The firm earns $132.14 at the optimal solution.
c) An additional hour of time available for the third machine is worth $0.14 to the firm.
d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.
The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71
b) The number of unused hours at the ideal solution is:
Machine 1 still has 8.57 hours of time left.
There are no hours left on Machine 2 at the moment.
There are still 94.29 hours left on Machine 3.
c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is
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Do i need to flip my sign 3x>12
Answer:
divide three from both sides to get x > 4
Answer:
No
Step-by-step explanation:
You only need to flip your sign when dividing by a negative. 3x > 12 = x > 12/3 = x > 4. If the equation were -3x > 12, then it would be x < 4.
If the numbers represented one-way mileages for trails to different lakes, which average(s) would make sense?
The harmonic mean would give equal weight to both of these trails, despite their different distances.
The harmonic mean would make the most sense when calculating the average one-way mileages for trails to different lakes. When it comes to calculating the average of one-way mileages for trails to different lakes, it's important to choose the appropriate type of average based on the nature of the data.
In this case, since we're dealing with mileages, one-way distances, and travel times, the best option would be the harmonic mean. The harmonic mean is defined as the reciprocal of the arithmetic mean of the reciprocals of a set of numbers. In other words, it's a weighted average of the reciprocals of the numbers.
This type of average is useful in situations where rates, speeds, or frequencies are involved. In this case, the harmonic mean would be the most appropriate choice for calculating the average one-way mileage for trails to different lakes because it takes into account the fact that distances and travel times are inversely related.
For example, if one trail has a distance of 10 miles and a speed of 2 miles per hour, it will take 5 hours to travel that distance. On the other hand, if another trail has a distance of 20 miles and a speed of 4 miles per hour, it will also take 5 hours to travel that distance.
Therefore, the harmonic mean would give equal weight to both of these trails, despite their different distances.
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please anyone help!!
Answer:
7000 degree per second.
Step-by-step explanation:
To convert degree per millisecond to degree per second, multiply the angle/time value by 1000.
\(7 \ degree \ per\ millisecond = 7*1000 \ \dfrac{degrees}{second}\)
= 7000 degrees per second.
Write the equation of the line in Point-Slope Form given the information below. Slope=-1/5 y-intercept=-3
Answer:
your correct answer is y=-1/5-3
Step-by-step explanation:
The linear equation of the line is y = -1/5x - 3 and y + 3 = -1/5(x - 0)
How to determine the line equation?The slope is given as:
m = -1/5
The y-intercept is given as:
c = -3
A linear equation in slope intercept form is represented as:
y = mx + c
So, we have:
y = -1/5x - 3
The equation in point slope form is calculated as follows:
y = -1/5x - 3
Add 3 to both sides
y + 3 = -1/5x
Express -1/5x as -1/5(x)
y + 3 = -1/5(x)
Subtract 0 from x
y + 3 = -1/5(x - 0)
Hence, the linear equation of the line is y = -1/5x - 3 and y + 3 = -1/5(x - 0)
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Saeed rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 78 cents for each kilometer driven. Saeed had to pay $130.49 when he returned the truck. For how many kilometers did he drive the truck?
Base fee to drive a truck = $18.95
Money payed by Saeed at the end of his drive = $130.49
Money he had to pay for the distance he drove :-
\( = 130.49 - 18.95\)
\( = $111.54\)
Money payed by Saeed for the distance he drove = $111.54
Money charged for an hour's drive = 78 cents
78 cents = $0.78
Distance Saeed drove :-
\( = \frac{111.54}{0.78} \)
\( \color{orange}= 143 \: km\)
Therefore , Saeed drove the truck for 143 km .
If x=3, solve for y
y=2*3^(3)
Answer:
54
Step-by-step explanation:
Answer:
y=54
as x=3
so y=2*x^3
y= 2*3^3
y=2*27
y=54
85.2 divided by 31 what is the answer ??????????????
Answer:
2.8
Step-by-step explanation:
2.7548387096774194
5 or above give it a shove!
Find the value of x when 6 - 3x = 5x - 10x + 4.
The value of x is
Answer:
-1
Step-by-step explanation:
First combine like terms on the right side (5x-10x) to get -5x +4
6-3x=-5x+4
then move the -5x over to get 2x because you would add the -5x to the -3x.
6+2x= 4
then subtract 6 on both sides.
2x=-2
to make your final answer -1.
Let Q represent the mass, in grams, of a quantity of plutonium 241 , whose half -life is 14 yeass The quantity of plutonium present after t years is given by Q=50(1/2)^{t/14} a. Determine the initial quantity (t=0) b. Determine the quantity present after 10 years.
The initial quantity of Plutonium is 50 grams. The quantity present after 10 years is approximately 28.7 grams.
Given data, Half-life of Plutonium 241 is 14 years.
The quantity of Plutonium after t years is given by,
Q = 50(1/2)^(t/14)
a. To determine the initial quantity (t=0),
Put t = 0 in the given equation
Q = 50(1/2)^(t/14)
Q = 50(1/2)^(0/14) = 50(1)^0 = 50
Therefore, the initial quantity of Plutonium is 50 grams.
b. To determine the quantity present after 10 years,
Put t = 10 years in the given equation
Q = 50(1/2)^(t/14)
Q = 50(1/2)^(10/14) = 50(1/2)^(5/7)
Q = 50(0.57435) ≈ 28.7
Therefore, the quantity present after 10 years is approximately 28.7 grams.
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The outcome of an experiment is the number of resulting heads when a nickel and a dime are flipped simultaneously. What is the sample space for this experiment?
The sample space for this experiment is {0, 1, 2}, representing the possible number of resulting heads.
The sample space for this experiment, where a nickel and a dime are flipped simultaneously, consists of all possible outcomes for the number of resulting heads. The terms are:
1. Nickel
2. Dime
3. Heads
The sample space includes the following outcomes:
1. Both coins show heads (HH): 2 heads
2. Nickel shows heads, dime shows tails (HT): 1 head
3. Nickel shows tails, dime shows heads (TH): 1 head
4. Both coins show tails (TT): 0 heads
So, the sample space for this experiment is {0, 1, 2}, representing the possible number of resulting heads.
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solve for t. 79t=14 write your answer here
Answer: im pretty sure its 14 divided by 79 soo 0.17?
if not im sorry
use your brain tho:)
hope this helps you
Agent Smith is transfering 45 classified files from the CIA mainframe onto his flashdrive. The speed at which he downloads each file can be found by dividing 45 by the total time. Select ALL true statements.
A. Speed is a function of time.
B. Time is a function of the number of files downloaded.
C. Speed is a function of the number of files he downloaded.
D. Time is a function of speed.
Answer:
B&D
Step-by-step explanation:
i think this is correct, if not let me know, correct me.
2. sophia is considering buying a dress and a necklace. the probability she will buy a red dress is 0.2, and similarly, it is 0.4 for a blue dress. there is a 10% chance she will buy a necklace. she wants to buy at most one dress, and buying a necklace is independent of buying a dress find the probability she buys at least one of the previous items. assume event a: she buys a red dress; event b: she buys a blue dress; event c: she buys a necklace.
Therefore the probability that she buys at least one of the previous items is 0.1333
What is probability ?The area of mathematics known as probability deals with numerical descriptions of the likelihood that an event will occur or that a statement is true .A number between 0 and 1 is the likelihood of an event, where, broadly speaking, 0 signifies the event's impossibility and 1 denotes its certainty.
Given:
event A: she buys red dress.
event B: she buys a blue dress.
event C: she buys a necklace.
the probability she will buy a red dress is 0.2,
the probability she will buy a blue dress is 0.4
there is 10% chance she will buy a necklace =0.10
The probability she wants to buy at most one dress,
P(A or B or C) =0.2 +0.4 +0.1 -(0.08 -0.04 -0.02 +0.08)
P(A or B or C) =0.568
the probability she buys at least one of the previous items is
\(\frac{P(A or B or C)}{P(AorB andC)}\) = \(\frac{0.2 * 0.1 * 0.4}{(0.2 * 0.1)+(0.1 *0.4)}\)
\(\frac{P(A or B or C)}{P(AorB andC)}\)= 2/15 =0.133
Therefore the probability that she buys at least one of the previous items is 0.1333
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(1, 3) and (-3,-5)
Write a linear equation that passes through the given two points
Answer:
y = 2x + 1
1. Find the slope; (change in y values)/(change in x values)
Slope = (-5 - 3)/ (-3 - 1) = -8/-4 = 2
2. Find the y-intercept (b) using the slope intercept formula: y = mx + b
m = 2 and using point (1, 3) , solve for "b"
y = mx + b
3 = 2(1) + b
3 = 2 + b
1 = b
3. Write the linear equation: y = 2x + 1
Step-by-step explanation:
Find x
1. 103 degrees
2. 31 degrees
3. 52 degrees
4. 45 degrees
It is 45° because the sum of all the angles of a triangle is 180° so
\(75° +60° +x = 180° \\ x =180° - 75° -60° \\ x = 45°\)
The area of a square is 64 n Superscript 36square units. What is the side length of one side of the square?
The side length of one side of the square is 8n¹⁸
What is the side length of one side of the square?From the question, we have the following parameters that can be used in our computation:
Area = 64 n Superscript 36square units
Express the area expression properly
So, we have the following representation
Area = 64n³⁶ square units
Take the square roots of both sides to calculate the side length
This gives
Side length = 8n¹⁸
Hence, the side length is 8n¹⁸
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if 14 songs were 9.38 dollars how much would one be
Answer:
each song would be 67 cents (0.67)
Step-by-step explanation:
9.38/14=0.67
Geoff goes to the shop and buys a packet of crisps for 25p, a can of soup
for 68p and a watermelon for £1.47. He pays with a £5 note. How much
change does he get? Give your answer in pounds (£).
CRISPS
Salt & Vinegar
25p
SOUP
68p
£1.47
Answer:
Step-by-step explanation:
Geoff is feeling peckish, so he decides to pop into the shop and grab some snacks. He picks up a packet of crisps for 25p, a can of soup for 68p and a watermelon for £1.47. He wonders why the watermelon is so cheap, but he doesn't question it. He goes to the cashier and hands over a £5 note. The customer behind Geoff wonders "how much change does he get back?"
To figure this out, we need to add up the price of the snacks and take it away from the money Geoff gave. We can use a dot to show the pence as parts of a pound. For example, 25p = 0.25 pounds.
The price of the snacks is:
0.25 + 0.68 + 1.47 = 2.40 pounds
The money Geoff gave is:
5.00 pounds
The change is:
5.00 - 2.40 = 2.60 pounds
So, Geoff gets £2.60 in change and a bargain watermelon.
Answer:
Answer:
2.60
Step-by-step explanation:
25+68+147=240
500-240=260
turn into pounds 2.60
Step-by-step explanation:
Shirley wants to buy a skateboard for $64. She has $98 in her account. She spent $10.85 to buy stationary. She also wants to buy some cookies for $1.65 each. What is the maximum number of cookies, n, that Shirley can buy so that she has enough money left to buy the skateboard?
n ≥ 14
n ≤ 16
n ≤ 14
n ≥ 16
Answer:
14 cookies
Step-by-step explanation:
Answer:
Step-by-step explanation:
so first you have to subtract 64 dollars from your balance so $98-$64=$34.
Next you have to subtract $10.85 from your new balance so it would be $34-$10.85=$23.15
Last you have to divide 23.15 by 1.65 because you have to see how many cookies you can afford, so it would be 23.15 divided by 1.65 and the answer is 14. so you can afford 14 cookies
(10x -20) (6x + 8)°
what is the value of x
Answer:
X=12
Step-by-step explanation:
Add the two equations together and equate them to 180 due to the geometrical reason that angles on a straight line add up to 180.
10X-20+6X+8=180 (collect like terms)
10X+6X=180-8+20
16X=192 (Divide both sides by 16)
X=12
Hope that helps :)
When would you calculate an expected value? a. When your data points occur on different datesb. When your data points have various probabilities of occurringc. When you need to know the exact outcome of a future, unknown eventd. When you only have one data point
We calculate an expected value when the given data points have various probabilities of occurrence .
The expected value , applies best when we are performing the test or experiment many times. For example, EV applies well to gambling situations to describe expected results for thousands of gamblers per day, repeated day after day after day. However, the EV does not very accurately predict one particular outcome on one specific test.
For example, when drawing a playing card from a standard deck, on one specific draw, the likelihood of drawing a 2 is equal to the likelihood of drawing a 6 or 7 or 8 or any other numbered card.Over many many draws, the theoretical value to expect is 6.538. Obviously, there is no “6.538” card in the deck. But if you were gambling, you would expect to draw a card higher than 6 more often than not.To learn more about expected value
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F(x)=1/2sin(2x-4)+3
I'm looking for the window pane graphing of trigonometric function
Step by step please
For the function f(x)=1/2sin(2x-4)+3, the Domain: (-∞, ∞) and the Range: [2.5, 3.5].
What is domain and range?The range of values that can be plugged into a function is known as its domain. In a function like f, this range corresponds to the x values (x).
The collection of values that the function assumes is known as its range. Following the insertion of an x value, the function outputs this set of values. The values of y are those.
An assembly line's machines can be compared to functions in this way. The machine in the middle performs the function. On one end of the assembly line are a few screws and bolts, and on the other end is a car.
Given that
F(x)=1/2sin(2x-4)+3
For the given function graph is sinewave (see attachment)
For which
Range: [2.5, 3.5]
Domain: (-∞, ∞)
Thus, For the function f(x)=1/2sin(2x-4)+3, the Domain: (-∞, ∞) and the Range: [2.5, 3.5].
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