Evaluate the expression;
\(\begin{gathered} \frac{2^{-4}}{5^2} \\ =\frac{\frac{1}{2^4}}{5^2} \\ =\frac{\frac{1}{16}}{25} \\ =\frac{1}{16}\text{ / }\frac{25}{1} \\ =\frac{1}{16}\times\frac{1}{25} \\ =\frac{1}{400} \end{gathered}\)The fifth option is the correct answer, that is 1/400
differenciate the Function 1/ X3
Step-by-step explanation:
To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:
Write the function: f(x) = 1/x^3.
Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).
Differentiate the function: In our case, n = -3, so the derivative is:
f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.
Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.
Which of the following functions are linear?
Answer:
Its option A. Function A
Step-by-step explanation:
Mark brainliest
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point(2,5)?
Answer:
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:
Find the slope of the provided line.
The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.
Substituting the values, the equation of the perpendicular line becomes:
y - 5 = (-1/m)(x - 2)
Simplifying the equation further, we can rewrite it in point-slope form:
y - 5 = (-1/m)x + (2/m)
Which property justifies the statement below? X(y+5)=xy+5x
I don’t understand this question
Answer:
They are asking you to subtrack 9/10 from 1 2/5.
You can achieve this by finding a common denominator for these 2 fractions and then subtracting it.
So, we know that the common denominator is 10 because 5*2=10.
We then change the fraction to 1 4/10.
Then you subtract 9/10 from 1 4/10
1 4/10 can be rewritten as 14/10.
14/10 - 9/10 = 5/10 = 1/2
Step-by-step explanation:
Match each value to what it represents. 25 = 32 1. 32 power 2. 5 exponent 3. 2 base
Answer:
The power is 32 because that is what 2 to th 5 is , 2 is the base as its the number being multiplied 5 times which leaves 2 as the exponent.
#1.) What is the slope between point C and Point D? *Please Show All Work*
#2.) What is the equation of the line (Slope-Intercept Form: y = mx + b) that represents the climb from Point C to Point D? *Please Show All Work*
#3.) What is the domain and range the C to D part of the roller coaster?
Let's see what to do buddy....
_________________________________
1) Go...
We have the following equation for finding the slope of the line by using two points :
\(slope = m = \frac{y(b) - y(a)}{x(b) - x(a)} \\ \)
Where a and b are the points which the line through them.
We have points C and D here ,
So :
\(slope = m = \frac{y(d) - y(c)}{x(d) - x(c)} \\ \)
D = ( 7 , 12 ) and C = ( 0 , 0 )
Now just need to put the coordinates in the above equation :
\(slope = m = \frac{12 - 0}{7 - 0} = \frac{12}{7} \\ \)
_________________________________
2) Go...
We have the following equation to find the point-slope form of the linear functions :
\(y - y(o) =(slope) \times ( \: x - x(o) \: ) \\ \)
Where o is one of the given points.
So we must choose one of the points ,
I choose : D = ( 7 , 12 )
Then we have :
\(y - 12 = \frac{12}{7}(x - 7) \\ \)
It's point-slope form, so we need to simplifies it to find slope-intercept form.
Look:
\(y - 12 = \frac{12}{7}x - 12 \\ \)
Both sides plus 12
\(y = \frac{12}{7}x \\ \)
Now we have the slope-intercept form of the CD line.
_________________________________
3) Go...
Domain = [ 0 , 7 ]
Range = [ 0 , 12 ]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
A school paíd $31.25 for each calculator.
A.If the school bought x calculators, how many did they pay
B.The school spent $500 on calculators. How many did the school buy?
please help me thank you in advance!
Answer:
First option: (x+9)^2=81
Step-by-step explanation:
It has the same solution
Anna bought $4000of company stock, she sold 75% if it when the value doubled and the remainder at four times the purchase price, what is here total profit
Anna's total profit was $6000 + $16000 - $4000 = $14000.
How did Anna earn profit
Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.
Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.
Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.
Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.
help one question! but pls show work
Answer:
5
Step-by-step explanation:
cant show work i need to draw then
Answer:
-28k^4
Step-by-step explanation:
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20.
The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).
How to explain the relationshipIn the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.
To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).
If we subtract each value in column 1 from the corresponding value in column 2, we find that:
11 - 1 = 10
22 - 2 = 20
33 - 3 = 30
44 - 4 = 40
By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.
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Amelie is asked to draw a rhombus. Raj is asked to draw a rectangle. They
both drew this shape.
)) Ronnie has already run 21 miles on his own, and he expects to run 1 mile during each
track practice. How many track practices would it take for Ronnie to run 47 miles?
Answer:
It would take him 47 track practices
Step-by-step explanation:
PLEASE HELP THE QUESTION IN THE PICTURE.
the answer is 4/5 this is know to be hard
The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at a mean cost of $125,000 or less per lot. Suppose a sample of 32 properties provided a sample mean of $130,000 per lot and a sample standard deviation of $12,500.
(a) Use a 0.05 level of significance to test the validity of the advertising claim.
(b) State the hypotheses.
(c) What is the p-value?
(d) What is your conclusion (use a level of significance of 0.05)?
(e) What is the interpretation of your conclusion?
Answer:
a) In the step-by-step explanation.
b) The null and alternative hypothesis are:
\(H_0: \mu=125000\\\\H_a:\mu> 125000\)
c) P-value = 0.015
d) The conclusion, at a level of significance of 0.05, is that there is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.
e) The claim of the chamber of commerce is false. We have statistical evidence against that claim and we can conclude that the mean prices are significantly higher than $125,000.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim, expressed in the alternative hypothesis, is that area residential property is available at a mean cost significantly higher than $125,000 per lot.
Then, the null and alternative hypothesis are:
\(H_0: \mu=125000\\\\H_a:\mu> 125000\)
The significance level is 0.05.
The sample has a size n=32.
The sample mean is M=130000.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12500.
The estimated standard error of the mean is computed using the formula:
\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12500}{\sqrt{32}}=2209.71\)
Then, we can calculate the t-statistic as:
\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{130000-125000}{2209.71}=\dfrac{5000}{2209.71}=2.26\)
The degrees of freedom for this sample size are:
\(df=n-1=32-1=31\)
This test is a right-tailed test, with 31 degrees of freedom and t=2.26, so the P-value for this test is calculated as (using a t-table):
\(\text{P-value}=P(t>2.26)=0.015\)
As the P-value (0.015) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.
Dylan is recording the types of birds he sees while bird Dylan is recording the types of bird he sees wild bird watching in the park. On Day 1, he records seeing 16
different types of birds. On Day 2, his number drops by 25%. On Day 3, he records seeing 3 more types of birds
than on Day 2.
What was the percent increase from Day 2 to Day 3?
Enter your answer in the box.
WILL MARK BRAINLIEST
The percentage increase from Day 2 to Day 3 of the birds is =20%
Calculation of Percentage IncreaseDay One = 16 birds
Day two = 16 - 25% (16)
But 25% (16) = 25/100 ×16
= 1/4× 16
= 4
Therefore day two = 16 - 4 = 12
Day three = 12 + 3 = 15
Therefore percentage increase,
= 3/15 × 100
= 300/15
= 20%
Therefore there was 20% increase from Day 2 to Day 3.
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Answer:
25% is the correct answer i took the test in k12 and it was right
Step-by-step explanation:
A student wants to compare the amount of money that two local movie theaters make over a two-week period for the last nightly showing of a particular movie. The following box plots show the data for the amount of money each theater makes over the period. Compare the median of each box plot.
Please help it’s due in 3 minutes
The medians are about the same.
Option C is the correct answer.
How to solveThe median, in statistical terms, refers to the value in the center of a dataset that has been sorted either in ascending or descending order, and it is a commonly used measure of central tendency. This contrasts with the mean, which calculates the total value of all figures, then divides by the number of figures.
We have,
Movie theater 1.
From the box plot given,
The median is 995.
Movie theater 2.
From the box plot given,
The median is 995.
Thus,
The median in both the box plot is the same.
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Find the value of x plssssssss
Answer:
150 degrees
Step-by-step explanation:
Hi,
Since one of the angles is 30 degrees and this is a line, we know that 30 + u must equal 180 degrees.
30 + u = 180
Subtract 30 from 180 to find the value of u.
u is 150 degrees.
I hope this helps :)
Answer: 150 degrees
Step-by-step explanation:
A line is 180 degrees in total, since that acute angle is 30 degrees you just subtract 30 from 180, which gives you the other side ( which has to equal 180) of 150 degrees. If it were 40 degrees ( instead of 30) it would be 140 degrees on the other side.... etc
30. On February 1, the temperature at a ski resort in
Montana was 6° Fahrenheit. How many degrees Celsius
is this temperature?
Answer:
-14.4444°C
Step-by-step explanation:
(6°F − 32) × 5/9 = -14.44°C
Jim sells candy bars to his family and friends as a fundraiser. The plain chocolate bars costs $1.50, and the king size chocolate bar costs $2.25. Jim sells a total of 55 candy bars, and earns a total $95.25. Write a system of equations and find out how many plain chocolate bars he sold, and how many king size bars he sold.
Answer:
38 plain chocolate bars and 17 king-size chocolate bars.
Step-by-step explanation:
Let's define the variables:
P = number of plain chocolate bars sold
K = number of king chocolate bars sold
We know that each plain one costs $1.50, and each king one costs $2.25, then the total revenue is:
P*$1.50 + K*$2.25
Now we know that Jim sells a total of 55 candy bars, then:
P + K = 55
And we know that the total revenue is $95.25, then:
P*$1.50 + K*$2.25 = $95.25
Then we have the system of equations:
P + K = 55
P*$1.50 + K*$2.25 = $95.25
To solve this we need to isolate one of the variables in one of the equations, I will isolate P in the first equation to get:
P = 55 - K
Now we can replace is on the second one to get:
(55 - K)*$1.50 + K*$2.25 = $95.25
Now we can solve this for K
$82.50 - K*$1.50 + K*$2.25 = $95.25
K*($2.25 - $1.50) = $95.25 - $82.50 = $12.75
K*$0.75 = $12.75
K = $12.75/$0.75 = 17
This means that Jim sold 17 king-size chocolate bars.
Now we can replace this in the equation:
P + K = 55
P + 17 = 55
P = 55 - 17 =38
P = 38
Jim sold 38 plain chocolate bars.
write an equation for the line, in point-slope form, that passes through the following points (5,-5) (-1,-1)
Answer:
\(y+5=-\frac{2}{3}(x-5)\)
Step-by-step explanation:
The slope of the line is \(\frac{-1-(-5)}{-1-5}=-\frac{2}{3}\).
Using the point \((5,-5)\), the equation is \(y+5=-\frac{2}{3}(x-5)\).
What is the quotient of 3 3/4 ÷2/5
Answer:
9.375
Step-by-step explanation:
g the mean value of land and buildings per acre from a sample of farms is $1300 with a standard deviation of $200. the data set has a bell shaped distribution. assume the number of farms in a sample is 80
With the empirical rule, we can estimate that the number of farms in the sample whose land and building values per acre are between $1100 and $1500 is approximately 50 farms.
The empirical rule (also known as the 68-95-99.7 rule) states that for data sets with a bell-shaped distribution:
68% of the data falls within one standard deviation of the mean.
95% of the data falls within two standard deviations of the mean.
99.7% of the data falls within three standard deviations of the mean.
Using this rule, we can estimate the number of farms whose land and building values per acre are between $1100 and $1500 as follows:
The mean value of land and buildings per acre from the sample of farms is $1300, and the standard deviation is $200.
$1100 is 1.5 standard deviations below the mean:
($1100 - $1300) / $200 = -1.0.
$1500 is 1 standard deviation above the mean:
($1500 - $1300) / $200 = 1.0.
Therefore, we can estimate that approximately:
68% of the farms in the sample have land and building values per acre between $1100 and $1500 plus or minus one standard deviation of $200. This is equivalent to approximately 50 farms, which is 68% of the sample size of 74 farms.
95% of the farms in the sample have land and building values per acre between $900 and $1700 plus or minus two standard deviations of $200. This is equivalent to approximately 70 farms, which is 95% of the sample size of 74 farms.
99.7% of the farms in the sample have land and building values per acre between $700 and $1900 plus or minus three standard deviations of $200. This is equivalent to approximately 73 farms, which is almost the entire sample size of 74 farms.
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Note: The full question is:-
The mean value of land and buildings per acre from a sample of farms is $1300, with a standard deviation of $200. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 74. Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1100 and $1500.
Find the missing angle measure (?). Round to the
nearest whole number.
47
24
Answer:
50 degrees
Step-by-step explanation:
Triangle = 180
180 - 90 = 90
? = 50 degrees
There is another bag of red and yellow footballs with a ratio of 4:3. If there are 20 red footballs in the bag, how many footballs are there in total?
Answer:
35
Step-by-step explanation:
take no. of red footballs be 4x and yellow footballs be 3x
4x=20, x=5
=> 3(5)= 15
total no. of footballs= 20+15= 35
Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40%
chance of him selling a candy bar at each house. He has to sell 5 candy bars in all. Let X be
of number of houses it takes.
i. Name distribution (with parameter(s)) of X.
ii. What is the probability he sells his last candy bar at the 11th house?
iii. What is the probability of Pat finishing on or before the 8th house?
Probabilities are used to determine the chances of events.
The given parameters:
\(n = 5\) ---- the number of candy bars
\(p = 40\%\) ---- the probability of selling a candy bar
(a) Name distributions
The distribution of X is represented as:
\(X \sim(r,p)\)
Where:
\(r = 5\)
\(p= \frac{5\times 40\%}{10}\)
\(p= 0.2\)
So, the name distribution of X is \(X \sim(r= 5,p = 0.2)\)
(b) The probability that the last candy is sold at the 11th house
This means that:
\(n = 10\) --- the number of previous houses
\(r = 4\) --- the previous number of candies
\(p = 0.4\) --- the given probability of selling a candy
The probability is calculated using:
\(P(x = n+1) = ^{n}C_r \times p^{r +1} \times (1 - p)^{n-r}\)
This gives
\(P(x = 10+1) = ^{10}C_4 \times 0.4^{4 +1} \times (1 - 0.4)^{10-4}\)
\(P(x = 11) = ^{10}C_4 \times 0.4^{5} \times (0.6)^6\)
\(P(x = 11) = 210 \times 0.4^5 \times 0.6^6\)
\(P(x = 11) = 0.1003290624\)
Approximate
\(P(x = 11) = 0.1003\)
Hence, the probability that the last candy is sold at the 11th house is 0.1003
(b) The probability he sells the candies on or before the 8th house
The probability is calculated using:
\(P(x \le 8) = P(5 \le x \le 8)\)
This gives
\(P(x \le 8) = ^{10}C_5 \times 0.4^{6} \times (0.6)^5 + ^{10}C_6 \times 0.4^{7} \times (0.6)^4 + ^{10}C_7 \times 0.4^{8} \times (0.6)^3 +^{10}C_8 \times 0.4^{9} \times (0.6)^2\)
\(P(x = 11) = 0.1737\) ---- approximated
Hence, the probability he sells the candies on or before the 8th house is 0.1737
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50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45 which of the following histograms is the best representation of the data?
The best way to represent histograms is by decreasing to increasing order.
The mean is the arithmetic mean and is calculated by adding a group of numbers and dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.
Given the values:
50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45
We have that:
(22+24+28+28+30+31+31+32+32+35+36+37+38+41+42+42+44+44+45+46+46+47+47+49+50)/25=37.88.
The average age that a large construction company wants to know is 38.
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Exit Ticket: At many county and state fairs, you must purchase
tickets if you wish to go on the rides. Different rides require
different numbers of tickets. The Ferris wheel, for example,
might require three tickets, while the bumper cars might require
two. Before you buy any tickets, it might be helpful to know
which rides you plan to ride, and how many tickets you will need.
Write about it! Each ride requires 3 tickets. If a ticket costs
$1.50, write an equation to find the total cost of y of x rides.
How much will it cost to ride 10 rides?
An equation to find the total cost of y of x rides is y = 3x.
The cost to ride 10 rides is equal to $15.
How to determine the total cost of y of x rides?In order to write an equation that model this situation, we would assign variables to the number of tickets and the total cost respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of tickets.Let the variable y represent the total cost.Next, we would translate the word problem into an algebraic equation based on the fact that each ride requires 3 tickets and a ticket costs $1.50 as follows;
y = 3x
For the cost of 10 rides, we have:
y = 10x
When x = 1.50, the total cost is given by:
y = 10(1.50)
y = $15.
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INSTRUCTIONS:
On a separate paper, prepare a T-Account for each account listed below. (10 pts.)
Analyze and record each of the following business transactions in the appropriate T-accounts. Identify each transaction by number. (16 pts.)
After recording all transactions, compute and record each account balance appropriately. (10 pts.)
Be sure your accounting equation is accurate and is in balance. (13 pts.)
Chart of Accounts
101 Cash in Bank
110 Accounts Receivable, Roger McFall
125 Office Equipment
130 Office Furniture
135 Computer Equipment
201 Accounts Payable, Computer Warehouse, Inc.
205 Accounts Payable, Pro Computer Company
301 Pamela Wong, Capital
305 Pamela Wong, Withdrawals
400 Print revenue
500 Utility Expense
Transactions 16 Points
Pamela Wong invested additional assets in the business: cash $30,000 and office equipment $1,500. Memorandum 75
2. Purchased a desk worth $500. Check 910
3. Purchased a $3,600 computer system from Computer Warehouse, Inc. on account. Invoice CW204
4. Completed print production for Roger McFall. Sent him a bill for $600. Invoice TG601
5. Pamela Wong withdrew $2,000 from the business. Check 913
6. Received $300 from Roger McFall to apply to his account. Receipt 311
7. Issued check 914 for $1,800 to Computer Warehouse, Inc. to apply on account.
8. Paid $600 to Premier Painters for painting the office. Check 912
Answer:
vvyvyvvyvyvyvbbyefbbfbhvbfhvhfvhfvhfbvhfbvhfbvhfvfvbfvbfhvbfvf
Step-by-step explanation:
fvfnvfvfvhfbvbfdbvkurbghrsvrbagiwrgyq4tifdjbgiurwbgudfvbfsvbdhbfrifbeqyvbafwuvbrwuvbfausfbvkfdvyawrvefawevbrwugvtgbsfhvbcvfrvsafhvbarukvfshovfyuvbeuvbfoavbsfuygbreyghteufniuvehjtgidxvbtaegnveriusdfnjadnhguiwbfvkjeuigbwriokfjaicfdigseuifjgdgnsfuidvbrsguibtdgnpifuewngvhfsguipNV ijvnsidnhdfurhuaevawrbghwlabvyulzfsbvkhSDJvjsfdgntslvbdfjhgbfuyvfijgsdnvuierwnfliwdhpirqwnvdshlzcbaelfihvbglf
Answer:
the final money balance that he has in his account is $1,730
Step-by-step explanation:
i did it alreay on edge