the last step is wrong because we multiply the powers in this case we do not subtract them.
we use power subtract in division.
we use power multiplication when we raise to power and the root is power like square root of x
\( \sqrt{x} = {x}^{ \frac{1}{2} } \)
so
\( \sqrt[3]{x} = {x}^{ \frac{1}{3} } \)
in our case
this step is wrong
\(2x \times \sqrt[3]{ \frac{2}{y} \times \frac{y}{y} } \)
it should be
\(2 x \times \sqrt[3]{ \frac{2}{y} \times \frac{ {y}^{2} }{ {y}^{2} } } \)
so we get
\(2x \times \sqrt[3]{2 {y}^{2} \times \frac{1}{ {y}^{3} } } \)
\( = \frac{2x}{y} \times \sqrt[3]{2 {y}^{2} } \)
if both variables in a correlational study are non-numerical, the data can be organized in a matrix and then analyzed using a .
If both variable in a correlational study are non-numerical, the data can be organized in a matrix and then analyzed using a Chi-square hypothesis test.
A correlational study design investigates relationships between two variables (or more) without the researcher controlling or manipulating any of them.
Chi-square test for hypothesis tests about whether your data is as expected. The basic idea behind the test is to compare the observed values in your data to the expected values that you would see if the null hypothesis is true.
The Chi-square statistic compares the size of any discrepancies between the expected results and the actual results, given the size of the sample and the number of variables in the relationship.
Hence if both variables in a correlational study are non-numerical, the data can be organized in a matrix and then analyzed using a Chi-square hypothesis test.
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The first three terms of a geometric sequence are as follows.
-3, 15, -75
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Here the common ratio is -5
next terms will be 375 and -1875
5. what equation passes through the 2 points
(3, 1) and (7, -3)
Answer:
Equation: y = -1x + 4
Step-by-step explanation:
In order to create an equation, you need to put it in slope-intercept form ( y = mx + b ). The best way to figure out to create your equation is to graph the points. 'Y' means the y-axis. 'mx' refers to the slope of a particular line and b is concluding where the line crosses the y-axis.
alice was having a conversation
A highway construction firm is working on a cut-and fill stretch of roadway for which dump truck and power shovels are the primary equipment being used. Time studies reveal the following time values (minutes): Activity and Time in Minutes Time to load the truck 4 minutes
Travel time for the dump truck to dumping point 8 minutes
Dumping time 4 minutes
Return time of the truck 3 minutes
a) What is the ideal assignment of trucks to the power shovel? b) What is the minimum number of trucks that will prevent idle time for the power shovel? c) Suppose that it cost $25 per hour to operate power shovel and S37 per hour to operate each truck. d) How many trucks should be assigned to the power shovel to minimize the cost per truck load hauled
a) Ideal assignment, each power shovel should be assigned one truck at all times. b) Minimum Five trucks are required to avoid idle time for the power shovel. c) The cost of operating each truck can be minimized to $0.62 per minute. d) Five trucks should be assigned to the power shovel to minimize the cost per truck load hauled.
The ideal assignment of trucks to the power shovel is to have one truck assigned to the power shovel at all times, so that as soon as one truck is loaded, it can immediately be replaced by another truck, and there is no waiting time for the power shovel. so, three trucks should be assigned to each power shovel.
To prevent idle time for the power shovel, we need to have a truck arrive as soon as the previous truck has been loaded and left. Therefore, the minimum number of trucks required is equal to the cycle time divided by the time to load a truck:
Cycle time = time to load + travel time + dumping time + return time = 4 + 8 + 4 + 3 = 19 minutes
Minimum number of trucks = cycle time / time to load a truck = 19 / 4 = 4.75
Since we cannot have a fractional number of trucks, we need to round up to the nearest integer. Therefore, the minimum number of trucks required is 5.
The cost of operating the power shovel is $25 per hour, which is equivalent to $0.42 per minute (since there are 60 minutes in an hour). The cost of operating each truck is $37 per hour, which is equivalent to $0.62 per minute.
To minimize the cost per truck load hauled, we need to find the optimal number of trucks to assign to the power shovel. Let's assume that x trucks are assigned to the power shovel. Then, the total cost per truck load hauled is given by:
Total cost = (cost per power shovel minute) * (cycle time) + (cost per truck minute) * (time to load + travel time + return time) / x
Substituting the values we calculated earlier:
Total cost = (0.42) * (19) + (0.62) * (4 + 8 + 3) / x
Total cost = 8.88 + 1.56 / x
To minimize the total cost, we need to find the value of x that minimizes this expression. Taking the derivative of the expression with respect to x and setting it equal to zero, we get:
d(Total cost) / dx = -1.56 / x^2 = 0
x^2 = 1.56 / 0
x = ∞
Since we cannot assign an infinite number of trucks to the power shovel, this means that the total cost is minimized when we assign as many trucks as possible to the power shovel, which is equal to the minimum number of trucks we calculated earlier. Therefore, the optimal number of trucks to assign to the power shovel is 5.
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Please help I'm so stressed over this math ok here it is It costs $12.50 to enter an amusement park and $1.50 to play each game. Solve an inequality to find the number of games, g, Cole can play if he has $35 to spend at the park. Enter your answer in the box.
Answer:
12.50 + 1.50x < 35
Step-by-step explanation:
X represents the number of games that Cole plays. The admission price plus the money he spends on games should be LESS THAN or EQUAL to 35 dollars.
What is the present value of $12,000, at 12% compound interest,
in 30 months?
a) $ 8,904.00
b) $12,000.00
c) $ 9,100.00
d) $ 10,714.00
e) ___________
The present value of $12,000 in 30 months, with a compound interest rate of 12%, is approximately $8,537.43, this is closest to option a) Therefore, the correct answer is option a).
To calculate the present value of $12,000 in 30 months at a compound interest rate of 12%, we can use the formula for present value:
PV = FV / (1 + r)ⁿ
Where:
PV = Present Value
FV = Future Value
r = Interest rate per period
n = Number of periods
Given:
FV = $12,000
r = 12% = 0.12
n = 30 months
Plugging these values into the formula, we get:
PV = \(12,000 / (1 + 0.12)^{(30/12)}\)
= \(12,000 / (1.12)^{(2.5)}\)
= 12,000 / 1.404928
≈ $8,537.43
Therefore, the present value of $12,000 in 30 months at a compound interest rate of 12% is approximately $8,537.43.
In Conclusion, Based on the calculation, the present value of $12,000 in 30 months, with a compound interest rate of 12%, is approximately $8,537.43, this is closest to option a) Therefore, the correct answer is option a).
This implies that if we were to discount the future value of $12,000 back to the present using a compound interest rate of 12% over 30 months, its equivalent value today would be approximately $8,537.43.
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Deepak wrote out the steps to his solution of the equation startfraction 5 over 2 minus 3 x minus 5 plus 4 x equals negative startfraction 7 over 4 endfraction – 3x – 5 4x = –.
The solution is x=3/4
How can we solve given equation?
First, we will solve like terms. Then shift constant to other side and keep x on the same side to get the value of x.
We can solve given equation as shown below:
5/2-3x-5+4x=-7/4
(5-10)/2+x=-7/4
-5/2+x=-7/4
x=5/2-7/4
x= (10-7)/4
x=3/4
Hence, the solution is x=3/4.
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Help !!!!! Please need help
Answer:
1. .monthly payment
2. $276 club. $36 fee
3. you got this
At the book fair 32 books were sold in the first 2.5 hours. At this rate, how many books will be sold in the 10 hours of the book fair?
Answer:
128
Step-by-step explanation:
set up a proportion of # books sold/hours = # books sold/hours
let 'b' = # books sold
32/2.5 = b/10
cross-multply to get:
2.5b = 320
b = 320/2.5
b = 128
9+1.34+1\2(3.50+1.74) pls help
Answer:
12.96
Step-by-step explanation:
PLS HELP ME ASAP!! I WILL MARK THE BRAINLIEST
Answer:
Increasing on (-∞,-1) , (2,∞)
∞ means infinity btw
The total number of students in a community class is 140. Of these students, 60 are male.
Don't forget to write all fraction answers in simplest form!!!
a) Give the ratio of males to females as a fraction.
b) Give the ratio of females to males as a fraction.
c) Give the ratio of males to total number of students as a fraction.
d) Give the ratio of total number of students to females as a fraction.
Step-by-step explanation:
a fraction is x/y.
so, now we need to put the numbers in as defined. yes, and then simplify.
140 students, 60 are male. that means 140 - 60 = 80 are female.
a)
60/80 = 6/8 = 3/4
b)
80/60 = 8/6 = 4/3
c)
60/140 = 6/14 = 3/7
d)
140/80 = 14/8 = 7/4
suppose that 3500 is borrowed for three years at an interest rate of 9.5% per year, compounded continuously. find the amount owed, assuming no payments are made until the not round any intermediate computations, and round your answer to the nearest cent.
If $3,500 is borrowed for three years at an interest rate of 9.5% per year, compounded continuously, the amount owed at the end of the three years would be $4,713.25.
To find the amount owed, we can use the continuous compound interest formula:\(A = P * e^{(rt)\), where A is the final amount, P is the initial principal, e is Euler's number (approximately 2.71828), r is the interest rate per year as a decimal, and t is the time in years.
In this case, the initial principal is $3,500, the interest rate is 9.5% per year (or 0.095 as a decimal), and the time is 3 years. Plugging in these values, we get:
\(A = 3500 * e^{(0.095 * 3)\)
\(A = 3500 * e^{(0.285)\)
Using a calculator, we find that e^(0.285) is approximately 1.3299. Multiplying this by the initial principal, we get:
A = 3500 * 1.3299 = $4,648.65
Rounding this amount to the nearest cent, the final answer is $4,713.25.
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Which function matches the graph below?
Answer:
A
Step-by-step explanation:
Plug in some values for x
|-1|-3=-2
|1|-3=-2
company that manufactures a popular multivitamin wanted to determine whether their multivitamin had any side effects. For its initial study, the company chose 2000 individuals to take one of their multivitamin tablets per day for one year. Scientists from the company surveyed the participants to determine whether they had experienced any side effects. The greatest problem with this procedure is that A) only one brand of vitamin was tested B) the study lasted only one year C) the sample size was not large enough D) no control group was used
Answer:
Option D
Step-by-step explanation:
In this experiment, It would have been scientific to compare the result of the experiment on the experimental group(taking the multivitamin) with the control group (Taking no medicine)
Without a control group, a defined impact of multivitamin over the experimental group cannot be deduced.
Hence, option D is correct
Any help will be appreciated. I’ve tried 3x and all answers I come up with it says wrong
Answer: C = 12.56
Step-by-step explanation:
Since radius is 2, the diameter is double the radius which would be 4. C= 3.14 x 4. C = 12.56
Find the slope of the line that passes through the points A(0, -5) and
B(3, -4)
Answer:
0 and 3??
Step-by-step explanation
Answer:
Yes.
Step-by-step explanation:
Which term can be added to both sides of the equation
by completing the square?
+
a
a so that the equation can be solved
2
O
2a
O
ca.
Help please
Step-by-step explanation:
my instagram account bdq.frk follow please
Milo bikes from his job to his home every evening. The graph below shows the distance left to arrive at his home over time. Distance from Home (miles) N 0 8 16 24 32 Number of Minutes Which of the following statements correctly describes the horizontal intercept? The horizontal intercept is the number of minutes it takes to arrive at home. The horizontal intercept is the starting distance from his home. There is no horizontal intercept. The horizontal intercept is the miles per minute.
The horizontal intercept represents the point at which the distance from home is zero, indicating that Milo has reached his home. In the given graph, the horizontal intercept is located at 0 minutes, which means it takes zero minutes for Milo to arrive at his home. Therefore, the correct statement is:
"The horizontal intercept is the number of minutes it takes to arrive at home."
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Plz help me with this question
Answer:
1422cm²
Step-by-step explanation:
Triangle:
First; 24 x 14 = 336
second: since there is 2 triangle u x 2
so its 672
-------------------------------------------------------------------------------------------------------
Rectangle:
third; 25 x 10 = 250
forth; since there is 3 rectangle u x3
so its 750
last u add all ur answer for triangle and rectangle and u get
-------------------------------------------------------------------------------------------------------------
672 + 750 =
1422cm²
If correct please give brainliest
Stay safe and healthy
Thank You
Which of the following budgets is in surplus?
o Income $500, Fixed Exp. $100, Living Expenses $300
o Income $300, Fixed Exp. $100, Living Expenses $300
o Income $400, Fixed Exp. $100, Living Expenses $300
Answer:
Income $500, Fixed exp. $100, Living Expenses $300
indify 5(2x-3)=8x+3
.........
Answer:
solution,
5(2x-3) = 8x +3
or, 10x -15 = 8x+3
or, 10x -8 x= 3+15
or, 2x = 18
or, x = 18/2
or, x = 9
.:. x = 9
Mr. Burrows bought a
total of 63 mugs for the
Staff lunch room. The total
was $150.57.
How much would is mugs cost?
By multiplying 5/3^4 by _________, we get 5^4
The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:
(5/3^4) * x = 5^4
To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:
5^4 = 5 * 5 * 5 * 5 = 625
Now, let's simplify the left side:
5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81
Now we have:
(5/81) * x = 625
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:
(81/5) * (5/81) * x = (81/5) * 625
On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:
1 * x = (81/5) * 625
Simplifying the right side:
(81/5) * 625 = 13125
Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
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PLEASE HELP WILL MARK BRAINLIEST
Explain how to find the mean of a set of data
PLEASE MAKE THE ANSWER SCHOOL APPROPRIATE
Answer:
The mean is the average of a data set. You can find the mean by adding all of the numbers in the guven set of data and then divide by the total number of values in a set.
Step-by-step explanation:
for example:
2, 6, 8, 13, 16, 11, 7
add all of these numbers together
the total would be 63
there are 7 numbers in the data set so you would divide 63 by 7
the mean of the data set would be 9
Answer:
The average of the numbers is the mean. After adding up all the numbers, divide by the number of numbers. You must add all the values in a data set together and divide by the number of values in the collection to determine the mean. The end product is yours!
I hope this helps! ^-^
Consider tossing a fair coin n times. For k = 1,..., n, define the events Ak = {"the first k tosses yield only head"}. - (a) You want to model this experiment as a Laplace experiment. Find a suitable sample space and a. compute P(Ak). (b) Describe in words the event Ak-1 | Ak. What is the probability of this event?
a) the sample space would be:
Ω = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
b) P(Ak-1 | Ak) = 1/2
In words, the event Ak-1 | Ak represents the situation where the first k-1 tosses yielded only heads, and the k-th toss ins also a head. The probability of this event is 1/2, which is the same as the probability of getting a head on a single toss of a fair coin.
What is probability?
Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event. Probability is commonly expressed as a number between 0 and 1, where 0 represents an impossible event, 1 represents a certain event, and values in between indicate varying degrees of likelihood.
(a) To model the experiment as a Laplace experiment, we can define the sample space as the set of all possible outcomes of tossing a fair coin n times. Each outcome can be represented by a sequence of H's (heads) and T's (tails), where each element in the sequence represents the outcome of one toss.
For example, if n = 3, the sample space would be:
Ω = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Now, let's compute the probability of the event Ak, where the first k tosses yield only heads.
The probability of getting a head on a single toss is 1/2 since the coin is fair. Therefore, the probability of getting k heads in a row is (1/2)^k since each toss is independent.
P(Ak) = (1/2)^k
(b) The event Ak-1 | Ak can be described as "the first k-1 tosses yield only heads, given that the first k tosses yield only heads."
In other words, it is the event that the first k-1 tosses yield only heads, and the k-th toss is also a head.
The probability of this event can be calculated by considering that the k-th toss is independent of the previous k-1 tosses. Since each toss has a probability of 1/2 of landing heads, the probability of Ak-1 | Ak is simply 1/2.
P(Ak-1 | Ak) = 1/2
In words, the event Ak-1 | Ak represents the situation where the first k-1 tosses yielded only heads, and the k-th toss ins also a head. The probability of this event is 1/2, which is the same as the probability of getting a head on a single toss of a fair coin.
Hence, a) the sample space would be:
Ω = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
b) P(Ak-1 | Ak) = 1/2
In words, the event Ak-1 | Ak represents the situation where the first k-1 tosses yielded only heads, and the k-th toss ins also a head. The probability of this event is 1/2, which is the same as the probability of getting a head on a single toss of a fair coin.
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Short Answer Questions:
1. The perimeter of a square is 18.4 m. What is its area?
Answer:
A ≈ 21.16m²
Step-by-step explanation:
Answer:
21.16 m^2
Step-by-step explanation:
If the perimeter is 18.4 m, then the length of a side is 18.4 m / 4, or 4.6 m.
Then the area of the square is (4.6 m)^2, or 21.16 m^2
Rachel weighed her two cats, Tiger and Mittens. Tiger weighed 10. 91 pounds, and Mittens weighed 178. 08 ounces. Which cat is heavier, and how many pounds heavier is she? a. Tiger is 1. 02 pounds heavier than Mittens. B. Tiger is 3. 49 pounds heavier than Mittens. C. Mittens is 0. 22 pounds heavier than Tiger. D. Mittens is 3. 93 pounds heavier than Tiger.
Answer:
✅C. Mittens is 0.22 pounds heavier than Tiger
⬇
Need help, look at attachment
Answer:
angle 1 and angle 8 are co exterior angles. so, their sum is equal to 180°.
28°+ angle 8 =180°
angle 8=180°-28°
angle 8=152°