Answer:
the second one is 343 to the 5 power
Step-by-step explanation:
thats all i know
srry honey
Answer:
\(16 {x}^{14} \)
\( {7}^{15} \)
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDASgiven:(8x⁸)(2x⁶)(7³)⁵tips and formulas:\(( {hx}^{a} )(g {x}^{b} ) = hg {x}^{a + b} \)\(( {x} ^{a} )^{b} < = > {x }^{ab} \)let's solve:\((8 {x}^{8} )(2 {x}^{6} ) \\ 8 \times 2 \times {x}^{8 + 6 } \\ 16 {x}^{14} \)
\(( {7}^{3} ) ^{5 } \\ {7}^{5 \times 3} \\ {7}^{15} \)
What is the perimeter of the quadrilateral JKML? Show complete work.
Answer:13cm
Step-by-step explanation:
(Annulty number of periods) Youve just bought a new flas-screen TV for $3,400 and the stoce you booght it from offers to let you finance the entire purchase at an annual rate of 16 percent compounded monthly. If you take the fnancing and make monthy payments of $140, how long will is take fo poy off the loan? How much will you pay in interest over the Ifo of the loan? a. The number of years it will take to pay of the loan is years. (Round to one decimal place)
you will pay approximately $11,542 in interest over the life of the loan.
it will take approximately 82.3 months to pay off the loan.
To calculate the number of years, we divide the number of months by 12:
Years ≈ 82.3 / 12 ≈ 6.9 (rounded to one decimal place)
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future value of the annuity (total amount paid)
P = Monthly payment amount ($140)
r = Monthly interest rate (16% / 12 = 0.16 / 12 = 0.0133)
n = Number of periods (months)
We need to solve for n. Rearranging the formula, we have:
n = log((FV * r) / (P * r + P)) / log(1 + r)
Plugging in the given values:
FV = $3,400
P = $140
r = 0.0133
n = log(($3,400 * 0.0133) / ($140 * 0.0133 + $140)) / log(1 + 0.0133)
Calculating this expression:
n ≈ log(45.22) / log(1.0133)
Using a calculator, we find:
n ≈ 82.3
To calculate the number of years, we divide the number of months by 12:
Years ≈ 82.3 / 12 ≈ 6.9 (rounded to one decimal place)
So, it will take approximately 6.9 years to pay off the loan.
To calculate the total interest paid, we subtract the initial loan amount from the total amount paid:
Total interest = (P * n) - $3,400
Total interest = ($140 * 82.3) - $3,400
Total interest ≈ $11,542
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Edith takes her grandparents out to dinner. In addition to paying for their food, she will
pay 10% sales tax and a 15% tip.
If Edith paid $55.75 in total for the food, tax, and tip, which equation could be used
solve for the cost of the food?
Answer:
Cost of the food = $44.60
Step-by-step explanation:
Total cost of food, tax and tip = $55.75
Let
Cost of the food = x
Sales tax of 10% = 0.1x
Tip of 15% = 0.15x
Total cost = food + tax + tip
55.75 = x + 0.1x + 0.15x
55.75 = 1.25x
x =55.75/1.25
x = $44.60
Cost of the food = $44.60
. You deposit $200 each month into an account earning 3% interest compounded monthly for 30 years. How much total interest will you earn in 30 years?
The total interest you will earn in 30 years is approximately $241.61.
To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.
y = ex, y = x2 − 1, x = −1, x = 1
Find the area of the region.
The area of the region is rectangles
The given curves are y = x2 and y = 2 − x2. They intersect at x = 1, y = 1. See the graph below. The shaded region enclosed by the curves is the region whose area we wish to find.To find the area of the shaded region,
The left part of the region is the part bounded by the x-axis, the curve y = x2, and the line x = 1. This region is shown below. To find the area of this region, we integrate with respect to y from y = 0 to y = 1. Along the curve y = x2, the values of x are ± y1/2. So we have to integrate from x = −y1/2 to x = 1.
Thus the area of the right part of the region isThus the total area of the shaded region is Approximating rectangle The area of each approximating rectangle is given by height times width. Since we are dividing the region into two parts we
A typical rectangle is shown below. The value of x corresponding to the lower end of the rectangle is x = −y1/2 and the value of x corresponding to the upper end of the rectangle is x = 1. So the height of the rectangle is x2 and the width is Δy = 1/n. Therefore, the area of the rectangle isSince the rectangle is located below the curve, this approximation underestimates the true area of the region.
Therefore, the area of the rectangle is Since the rectangle is located above the curve, this approximation overestimates the true area of the region. By computing the sum of the areas of all the approximating rectangles and taking the limit as n approaches infinity, we can find the exact area of the region.
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exercise 6.1.7: find the laplace transform of a cos(ωt) b sin(ωt).
The Laplace transform of a cos(ωt) b sin(ωt) is [(a + ib)s]/[(s^2) + ω^2].
We can use the identity cos(a)sin(b) = (1/2)(sin(a+b) - sin(a-b)) to write:
a cos(ωt) b sin(ωt) = (a/2)(e^(iωt) + e^(-iωt)) + (b/2i)(e^(iωt) - e^(-iωt))
Taking the Laplace transform of both sides, we get:
L{a cos(ωt) b sin(ωt)} = (a/2)L{e^(iωt)} + (a/2)L{e^(-iωt)} + (b/2i)L{e^(iωt)} - (b/2i)L{e^(-iωt)}
Using the fact that L{e^(at)} = 1/(s-a), we can evaluate each term:
L{a cos(ωt) b sin(ωt)} = (a/2)((1)/(s-iω)) + (a/2)((1)/(s+iω)) + (b/2i)((1)/(s-iω)) - (b/2i)((1)/(s+iω))
Combining like terms, we get:
L{a cos(ωt) b sin(ωt)} = [(a + ib)/(2i)][(1)/(s-iω)] + [(a - ib)/(2i)][(1)/(s+iω)]
Simplifying the expression, we obtain:
L{a cos(ωt) b sin(ωt)} = [(a + ib)s]/[(s^2) + ω^2]
Therefore, the Laplace transform of a cos(ωt) b sin(ωt) is [(a + ib)s]/[(s^2) + ω^2].
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The Laplace transform of acos(ωt) + bsin(ωt) is (as + bω) / (s^2 + ω^2).
To find the Laplace transform of a function, we can use the standard formulas and properties of Laplace transforms.
Let's start with the Laplace transform of a cosine function:
L{cos(ωt)} = s / (s^2 + ω^2)
Next, we'll find the Laplace transform of a sine function:
L{sin(ωt)} = ω / (s^2 + ω^2)
Using these formulas, we can find the Laplace transform of the given function acos(ωt) + bsin(ωt) as follows:
L{acos(ωt) + bsin(ωt)} = a * L{cos(ωt)} + b * L{sin(ωt)}
= a * (s / (s^2 + ω^2)) + b * (ω / (s^2 + ω^2))
= (as + bω) / (s^2 + ω^2)
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Find x in the triangle
Answer:100
Step-by-step explanation:
The question confuses you since there is no extra variable to help you which is you have to create it yourself.
Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:
\(y=-x-30+180\) which then becomes \(y = -x+150\).
Also since the inside sum of angles in a traingle is equal to 180°, this can be written as
\(180 = (x-40) +(x-30)+y\)
if we replace y with the equation we get
\(180=(x-40)+(x-30) + (-x+150)\)
which can be simplified to
\(180=x+80\) because 2x-x = x and -70+150 = 80
If we rearrange to solve for x, we get:
\(x = 180-80\) ⇒ \(x=100\)
We can verify this by putting the value of x in both equation:
\(y = -100+150 = 50\) angle at k
\(100-40=60\) angle at j
\(100-30=70\) angle at l
\(50+60+70=180\) this match the rules of the sum of interior angle always equal 180°
HELPPPP I have no idea how to do graphhhsssss
Answer:
Follow the lines
Step-by-step explanation:
Follow what the lines go with what the table has.
To make this really easy, find the slope of the line
To do this you find an easy point.
Ex. x=3 and y= 150
then take it into a slope y-intersept formula
y= mx
150= 3x
50 = x
so for every time x goes up one interval, y increases at a rate of 50.
And for y, do the opposite, for every 50 y, x goes up 1.
By following this linear path, you should really beable to solve the graph on the right. (If you need to, use a calculator for dividing the y numbers by 50 to get x)
y= 50x is ur slope/formula
(Ill leave the rest for you to answer with this data above ;) )
Hope This Helps :)
given you have declared an array as int ar[45][14][10][10][43][50]; and you are accessing it at ar[29][1][3][0][17][20]; what is the equivalent single dimensional index?
The resulting index value represents the position of the desired element in a hypothetical one-dimensional array formed by collapsing all the dimensions of the original multidimensional array into a single dimension.
The equivalent single-dimensional index for accessing the element ar[29][1][3][0][17][20] in the array int ar[45][14][10][10][43][50] can be calculated as follows:
First, we need to determine the number of elements before the desired element in each dimension. Starting from the outermost dimension:
The size of the first dimension is 45, so there are 45 elements in each block of size 14x10x10x43x50.
The size of the second dimension is 14, so there are 14 elements in each block of size 10x10x43x50.
The size of the third dimension is 10, so there are 10 elements in each block of size 10x43x50.
The size of the fourth dimension is 10, so there are 10 elements in each block of size 43x50.
The size of the fifth dimension is 43, so there are 43 elements in each block of size 50.
The size of the sixth dimension is 50.
To calculate the equivalent single-dimensional index, we multiply the number of elements in each dimension by the respective size of the block and sum them all together. In this case, it would be:
Index = (29 * (14 * 10 * 10 * 43 * 50)) + (1 * (10 * 10 * 43 * 50)) + (3 * (10 * 43 * 50)) + (0 * (43 * 50)) + (17 * 50) + 20
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espn was launched in april 2018 and is a multi-sport, direct-to-consumer video service. its is over 2 million subscribers who are exposed to advertisements at least once a month during the nfl and nba seasons.
In summary, ESPN is a multi-sport, direct-to-consumer video service that was launched in April 2018.
It has gained over 2 million subscribers who are exposed to advertisements during the NFL and NBA seasons.
ESPN is a multi-sport, direct-to-consumer video service that was launched in April 2018.
It has over 2 million subscribers who are exposed to advertisements at least once a month during the NFL and NBA seasons.
The launch of ESPN in 2018 marked the introduction of a new platform for sports enthusiasts to access their favorite sports content.
By offering a direct-to-consumer video service, ESPN allows subscribers to stream sports events and related content anytime and anywhere.
With over 2 million subscribers, ESPN has built a significant user base, indicating the popularity of the service.
These subscribers have the opportunity to watch various sports events and shows throughout the year.
During the NFL and NBA seasons, these subscribers are exposed to advertisements at least once a month.
This advertising strategy allows ESPN to generate revenue while providing quality sports content to its subscribers.
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need hep wit this thx
Answer:
answer is 3
Step-by-step explanation:
n+1=3+2/2=3
The number is 3 and it is a odd number.
I hope it's helpful!
diagrams that can convey both data and concepts or ideas are known as __________.
Diagrams that can convey both data and concepts or ideas are known as infographics.
Diagrams that can convey both data and concepts or ideas are known as "informational graphics" or "infographics". These graphics use visual elements such as charts, graphs, illustrations, maps, and diagrams to convey complex information and ideas in a concise and easy-to-understand way.
Infographics can be used in various fields, including business, education, journalism, and marketing, to present information in a visually appealing and engaging manner.
They are particularly useful when presenting large amounts of data or complex processes and can be designed to cater to different audiences, such as professionals or the general public. Overall, infographics are a powerful tool for communicating information and ideas effectively and efficiently.
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Decide whether the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.I made a frequency table with two columns, one labeled "State" and one labeled "State Capitol." Choose the correct answer below.A: The statement makes sense. In a frequency table, each category listed in one column has a characteristic about it in the second column. The table described in the given statement has this property.B:The statement makes sense. The set of states is clearly defined and each state has a clearly defined capitol.C: The statement does not make sense. In a frequency table, each category must have a frequency greater than 1. Because each state has exactly one capitol, each category in the table described in the given statement would have frequency 1.D: The statement does not make sense. In a frequency table, one of the columns lists the frequency of each category, which is the number of data values in the category. The table described in the given statement does not have this column.
A: In a frequency table, each category listed in one column has a characteristic about it in the second column. The table described in the given statement has this property.
B: The set of states is clearly defined and each state has a clearly defined capitol.
What is a Frequency table:A frequency table is a tabular representation of data that shows the number of times each category or value occurs. In a frequency table, one column represents the categories or values, and the other column represents their corresponding frequencies.
A: The statement makes sense. In a frequency table, each category listed in one column has a characteristic about it in the second column. The table described in the given statement has this property.
B: The statement makes sense. The set of states is clearly defined and each state has a clearly defined capitol.
C: The statement does not make sense. In a frequency table, each category must have a frequency greater than 1. Because each state has exactly one capitol, each category in the table described in the given statement would have frequency 1.
D: The statement does not make sense. In a frequency table, one of the columns lists the frequency of each category, which is the number of data values in the category. The table described in the given statement does not have this column.
The correct answer is:
A: In a frequency table, each category listed in one column has a characteristic about it in the second column. The table described in the given statement has this property.
B: The set of states is clearly defined and each state has a clearly defined capitol.
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Find the simple interest on $6000 from 16 may 2010 to 9 october 2010 at 10% per annum.
The simple interest is $6,240.00.
The term simple interest refers the interest that is only calculated on the initial sum borrowed or deposited.
Here we need to find the simple interest on $6000 from 16 may 2010 to 9 October 2010 at 10% per annum.
While we looking into the given question, we know te following values,
Principal amount = $6000
Time period = 16 may 2010 to 9 October 2010
The number of days between 16 may 2010 to 9 October 2010 is
=> 146 days.
Here we have the interest for 1 year,
So, the time period is written as,
And then we have to put time into years for simplicity,
146 days / 365 days/year = 0.4 years.
And the interest rate = 10%
Here we have to convert R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year.
Now, we have to apply the values on the formula, then we get by solving our equation:
A = 6000(1 + (0.1 × 0.4)) = 6240
A = $6,240.00
Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 10% per year for 0.4 years (146 days) is $6,240.00.
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If the cost of 7m is Rs. 1470, find the cost of 5m cloth
By using unitary method, we found that the cost of 5m cloth is Rs. 1050.
According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,
Cost of 1m cloth = Total cost of 7m cloth/7
We know that the total cost of 7m cloth is Rs. 1470. Therefore,
Cost of 1m cloth = 1470/7
Cost of 1m cloth = Rs. 210
This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.
Cost of 5m cloth = Cost of 1m cloth x 5
Cost of 5m cloth = Rs. 210 x 5
Cost of 5m cloth = Rs. 1050
Therefore, the cost of 5m cloth is Rs. 1050.
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Which trigonometric functions have the same maximum value?
This is a list of trigonometric functions with the same maximum value:
(A) y = arcsinx and y = cos x
What are trigonometric functions?
The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.
They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
There are six popular trigonometric functions for an angle.
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
So, the following equations give us the following maximum values:
arcsinx = -1 to 1
arccosx = -1 to 1
arctanx = -pi/2 to pi/2
arcsecx = ∞
Arcsinx and Arccosx are trigonometric functions that have the same maximum value.
Therefore, this is a list of trigonometric functions with the same maximum value:
(A) y = arcsinx and y = cos x
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Complete question:
Which trigonometric functions have the same maximum value?
A. y = arcsinx and y = arccosx
B. y = arcsinx and y = arctanx
C. y = arctanx and y = arcsecx
D> y = arccosx and y = arcsecx
Assume X∼N(−1,9),Y∼Χ122,T∼T10 And F∼F8,9 (I) Calculate P(X∈(0,1)),P(Y∈(3,14)),P(T∈(0,1)),P(F∈(0,1)). (Ii) For Α=0.05,
I) The requested probabilities are as follows:
P(X ∈ (0, 1)) cannot be calculated without additional information.
P(Y ∈ (3, 14)) and P(T ∈ (0, 1)) require using the respective cumulative distribution functions (CDFs) for the chi-squared and t-distributions.
P(F ∈ (0, 1)) requires using the cumulative distribution function (CDF) for the F-distribution.
II) For α = 0.05, the significance level or Type I error rate, the critical values and test statistics are not provided as the specific hypothesis tests or confidence intervals are not mentioned.
I) To calculate the probabilities, we can use the probability density functions (PDFs) of the respective distributions.
a) For X ~ N(-1, 9), where X follows a normal distribution with mean -1 and variance 9, we need to find P(X ∈ (0, 1)).
We can standardize X by subtracting the mean and dividing by the standard deviation:
Z = (X - μ) / σ = (X - (-1)) / √9 = (X + 1) / 3
Then, using the standard normal distribution table or a calculator, we can find the probability:
P(X ∈ (0, 1)) = P(Z ∈ ((0 + 1)/3, (1 + 1)/3)) = P(Z ∈ (1/3, 2/3))
b) For Y ~ χ^2(12), where Y follows a chi-squared distribution with 12 degrees of freedom, we need to find P(Y ∈ (3, 14)).
This probability involves the cumulative distribution function (CDF) of the chi-squared distribution.
P(Y ∈ (3, 14)) = P(Y < 14) - P(Y < 3) = CDF(14) - CDF(3)
c) For T ~ t(10), where T follows a t-distribution with 10 degrees of freedom, we need to find P(T ∈ (0, 1)).
This probability also involves the CDF of the t-distribution.
P(T ∈ (0, 1)) = CDF(1) - CDF(0)
d) For F ~ F(8, 9), where F follows an F-distribution with 8 and 9 degrees of freedom, we need to find P(F ∈ (0, 1)).
This probability also involves the CDF of the F-distribution.
P(F ∈ (0, 1)) = CDF(1) - CDF(0)
II) For α = 0.05, which represents the significance level or Type I error rate, we can use the respective inverse CDFs (quantile functions) to find the critical values for each distribution.
The critical values define the boundaries of the rejection region in hypothesis testing or confidence intervals.
For example, for the normal distribution N(-1, 9), we can find the critical values z1 and z2 such that P(Z < z1) = α/2 and P(Z > z2) = α/2, where Z follows a standard normal distribution.
Then, the interval (-∞, z1) ∪ (z2, +∞) represents the rejection region for the null hypothesis.
Similarly, we can find the critical values for the other distributions: chi-squared, t-distribution, and F-distribution, using their respective inverse CDFs.
It's important to consult statistical software or statistical tables to obtain the precise critical values corresponding to a specific α level for each distribution.
Remember, these calculations and critical values are used in statistical inference to make decisions based on observed data, and the specific use case and hypothesis testing context should be considered for accurate interpretation.
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find the distance the train travels in t=2.5hrs
The distance traveled by train would be 300 miles.
The relation between speed, distance, and time:
You can use the equivalent formula d = rt which means distance equals rate times time. To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time. To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
A train travels for 3.75 hours at 80 miles per hour.
The distance traveled = speed * time
= 3.75 * 80
= 300 miles.
Hence, the distance traveled by train would be 300 miles.
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complete question;
A train travels for 3.75 hours at 80 miles an hour. Use the formula d = r. t, where
d = distance, r = rate, and t = time, to find the distance the train traveled.
The distance traveled is
miles.
The solution is
The data to represent average test scores for a class of 24 students includes an outlier value of 89. If the mean, including the outlier of 89, equals 77, which statement is always true about the new data when the outlier is removed?
The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.
Answer:
The mean would decrease.
Step-by-step explanation:
If the mean score of 24 students is 77.
The total score of 24 students = 24 x 77 = 1848
If the outlier is removed, the mean would become
New total score / number of students = (1848 - 89) / (24 - 1)
1759/23 = 76.5
It can be seen that the mean decreased.
Answer:
The mean would decrease.
Step-by-step explanation:
i took the test
If the standard deviation of the data values in a sample is 19, what is the variance of the data values?
When the standard deviation of a data set is 19 then the datasets variance will be :
361
What is the relation between standard deviation and variance? This same standard deviation of a set of numbers is the distance between them and the mean. The variance is a measure of how far each point deviates from the mean on average. Variance is the average of all data points within a group, whereas standard deviation is the square root of the variance.variance formula :
variance = σ2
We are given a data set with a standard deviation of 19 and are asked to calculate the variance of the data values.
standard deviation = 19
We know that the variance of a data set is equal to the square of the standard deviation of the data values, so if the standard deviation is 19, the variance will be 19².
variance = standard deviation²
variance = 19²
= 361
As a result, the variance of the data values is 361.
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Formula: B1+B2=2(Midsegemt) Solve for X
2x-4+3x+2=2(2x+4)
if possible please explain/ show work!
thank you so so much!
The mid term is 2,Accordingly, if n is even, there will only be one middle term, and if n is odd, there will be two middle terms.
How does the Midsegment Theorem work?According to the midsegment theorem, the third side of a triangle is parallel to the first two sides, and the length of the third side's midsegment is equal to half of that side's length.The Binomial Expansion is in its middle term. We are aware that (a + b)n has an extension that has (n + 1) words. We can write the middle term(s) of (a + b)n depending on the value of n. Accordingly, if n is even, there will only be one middle term, and if n is odd, there will be two middle terms.Explanation:
2x - 4 + 3x + 2 = 2(2x+4)
The mid term is 2.
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You and your coworker together make $16 per hour. You know your coworker earns 10 percent more than you do. Your hourly wage is $ ___. After taking Math 1010 your hourly wage is raised to $12. This is a raise of ___ %. After returning to work you can't help mentioning casually to your coworker that now you make ___ % more than he does. He responds wistfully that this is as it should be since now you can figure problems like the ones on this assignment!
After taking Math 1010, their hourly wage increases to $12, which is a raise of 20%. They now make 20% more than their coworker. the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.the raise is 57.4%.
The hourly wage of the person is $10, while their coworker earns 10% more, making it $11 per hour.
Let's denote the person's hourly wage as x. According to the given information, the coworker earns 10% more than the person. This means the coworker's hourly wage is x + 0.10x = 1.10x.
Together, they make $16 per hour, so their combined wages are x + 1.10x = 2.10x. Since this equals $16, we can solve for x: 2.10x = $16, which gives x = $7.62.
After taking Math 1010, the person's hourly wage increases to $12. The raise amount can be calculated as the difference between the new wage and the previous wage, which is $12 - $7.62 = $4.38. To calculate the raise percentage, we divide the raise amount by the previous wage and multiply by 100: (4.38 / 7.62) * 100 ≈ 57.4%. Therefore, the raise is approximately 57.4%.
Since the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.
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Use the triangle down below to write the given ratios.
Answer:
P=22.6, T=67.4
Step-by-step explanation:
\(sin(P)=\frac{5}{13}\\ P= 22.6\\\\tan(T)=\frac{12}{5}\\ T=67.4\\\\cos(T)=\frac{5}{13} \\T=67.4\)
Find the volume
of the figure below:
Step-by-step explanation:
Use Pythagorean theorem to find the base of the right triangle
221^2 = 195^2 + b^2
b = 104 km
triangle area = 1/2 base * height = 1/2 * 104 * 195 = 10140 km^2
Now multiply by the height to find volume
10140 km^2 * 15 km = 152100 km^3
You randomly sample 8 graduate students from an NYU event. 5 of the 8 exhibit higher IQ’s than the median of the general population. The probability of obtaining this result by chance (if those graduate students do not differ in IQ from the general population) is
Answer:
The probability that five of the eight students exhibit an higher IQ than the median of the general population is 0.21875
Step-by-step explanation:
The given parameters are;
The number of students in the sample, n = 8
The number of the students, x, that exhibit higher IQ's than the median = 5
The probability of obtaining the given result by chance is given as follows;
P(x) = n!/((n - x)!x!) × pˣ × qⁿ⁻ˣ
The probability that a student exhibit higher IQ's than the median = 0.5 = p
Similarly, we have, the probability that a student exhibit lower IQ's than the median = 0.5 = q
Substituting the known values, gives;
P(5) = (8!/((8 - 5)!×5!)) × 0.5^(5) × 0.5^(8 - 5) = 0.21875
Therefor, the probability that 5 of the 8 students exhibit an higher IQ than the median of the general population, P(5) = 0.21875.
A regression analysis between sales, Y (in thousands of dollars) and advertising, X, (also in thousands of dollars) results in the following estimated regression model:A regression analysis between sales, Y (in
th. This implies that (read carefully):
a) as advertising increases by $1,000, estimated mean sales increases by $80,000.
b) as advertising increases by $5, estimated mean sales increases by $80.
c) as sales increases by $1,000, estimated mean advertising increases by $5,000.
d) as advertising increases by $1,000, estimated mean sales increases by $5,000.
e) as advertising increases by one dollar, estimated mean sales increases by $5000.
The estimated regression model shows that as advertising increases by $1,000, the estimated mean sales increase by $80,000.
The estimated regression model is a mathematical equation that relates the dependent variable (sales) to the independent variable (advertising) based on a given set of data. In this case, the estimated regression model indicates that for every increase of $1,000 in advertising, the estimated mean sales increase by $80,000. This means that there is a positive correlation between advertising and sales, and the model predicts that increasing advertising expenditure will result in higher sales.
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3 (x -7) + 20 = 12+2 (x -3)
Answer:
3 (x -7) + 20 = 12+2 (x -3)
x = 7
Use the rule "divide by 3" to continue the pattern. Then write the four terms of a different pattern that follows the same rule
Answer:
\((a)\)
\(Pattern: 2187, 729, 243, 81, 27, 9,3, 1\)
\((b)\)
\(Pattern = 972,324,108,36\)
Step-by-step explanation:
Given [Missing from the question]
\(Pattern: 2187, 729, 243, 81\)
Solving (a): Continue the pattern using the divide by 3 rule
To do this, we simply divide the last term by 3, to get the next term.
So, we have:
\(81/3 = 27\)
\(27/3 = 9\)
\(9/3 = 3\)
\(3/3 = 1\)
So, the pattern is:
\(Pattern: 2187, 729, 243, 81, 27, 9,3, 1\)
Solving (b): 4 terms of a different pattern using the same rule.
Let the first term be: 972
So, the next three terms is:
\(972/3 =324\)
\(324/3 = 108\)
\(108/3 =36\)
So, the pattern is:
\(Pattern = 972,324,108,36\)
5. A map's key shows that every of 5 inches on the
map represents 200 miles of actual distance.
Suppose the distance between two cities on
the map is 7 inches. What is the actual distance
between the two cities? Write the rule you used
to find the actual distance.
The actual distance between the two cities is 280 miles.
A map's key shows that every of 5 inches on the map represents 200 miles of actual distance. Suppose the distance between two cities on the map is 7 inches. What is the actual distance between the two cities? Write the rule you used to find the actual distance.
The rule used to find the actual distance between the two cities is multiplying the scale factor by the distance on the map.
The scale factor is given as 200 miles for every 5 inches, which means that for every 1 inch on the map, the actual distance is 40 miles. Hence, the actual distance for 7 inches on the map is calculated as follows:
Actual distance = Scale factor × Distance on the map Scale factor = 200 miles / 5 inches = 40 miles per inch distance on the map = 7 inches Actual distance = 40 miles per inch × 7 inches Actual distance = 280 miles
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7th grade math help me pleaseeee
Answer:
The lower left one.
Step-by-step explanation:
If you expand and rearrange it, you will find out both of its constant cancel out, and leave you with 3w=3w. So w have infinite number of solutions.
Answer:
\(6(\frac{1}{2} w-1)=3(w-2)\)
Step-by-step explanation:
\(6(\frac{1}{2} w-1)=3(w-2)\) (Isolate parentheses)
\(3w-6=3w-6\) (Add six to both sides to isolate one variable w)
\(3w=3w\) (Divide by three to isolate variable w)
\(w=w\)
Because we got \(w=w\), that means that any number you put in for w will still get you the same answer, or "infinite answers." If you try, say 5, you would still get the same answer if you put in 9. It has infinite answers.
I hope this helped :)