Answer:
(a) m^6·n^9
Step-by-step explanation:
You want to know an expression equivalent to (m^-2·n^-3)^-3.
Rules of exponents(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
Application\((m^{-2}n^{-3})^{-3}=m^{(-2)(-3)}n^{(-3)(-3)}=\boxed{m^6n^9}\)
For the sequence an
4n + 7, which term number is 335?
A submarine that is 245 feet below sea level descends 83 feet and then ascends 103 feet. What is the location of the submarine compared to sea level?
Answer:
225 feet
Step-by-step explanation:
-245 plus -83 then add 103
Suppose we did a regression analysis that resulted in the following regression model: yhat = 11.5+0.9x. Further suppose that the actual value of y when x=14 is 25. What would the value of the residual be at that point? Give your answer to 1 decimal place.
The value of the residual at that point is 0.9.
The regression model is yhat = 11.5+0.9x. Given that the actual value of y when x = 14 is 25. We want to find the residual at that point. Residuals represent the difference between the actual value of y and the predicted value of y. To find the residual, we first need to find the predicted value of y (yhat) when x = 14. Substitute x = 14 into the regression model: yhat = 11.5 + 0.9x= 11.5 + 0.9(14)= 11.5 + 12.6= 24.1.
Therefore, the predicted value of y (yhat) when x = 14 is 24.1.The residual at that point is the difference between the actual value of y and the predicted value of y: Residual = Actual value of y - Predicted value of y= 25 - 24.1= 0.9.
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I need to know how to solve this
Employees of a local university have been classified according to gender and job type. If an employee is selected at random, what is the probability that the employee is a member of the hourly staff, given that the employee is female?
Job Male Female
Faculty Member 55 5
Salaried Staff 15 25
Hourly Staff 30 20
The probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.
We need to calculate the conditional probability of an employee being a member of the hourly staff given that the employee is female and all the employees of a local university have been classified according to gender and job type.
The given table is:
Job Male Female
Faculty Member 55 5
Salaried Staff 15 25
Hourly Staff 30 20
The total number of female employees is 5+25+20 = 50.
We are to find the probability of an employee being a member of the hourly staff given that the employee is female.
Mathematically, we can represent the above statement as:
P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)
Now,P(Hourly staff and Female) = 20/100 * 50 = 10P(Female) = 50/100
Therefore,P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)= 10 / 50= 1/5 = 0.2
Therefore, the probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.
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The ratio of grapes to strawberries in each fruit bowl is 8 to 3. you can write other ratios equivalent to 8 to 3 using multiplication. How can you write equivalent ratios?
The equivalent ratios to 8 to 3 following are :
16 to 6
24 to 9
To write equivalent ratios to 8 to 3, you can use multiplication.
For example, you can multiply both terms in the ratio by 2 to get 16 to 6, or by 3 to get 24 to 9.
In general, to write equivalent ratios, you can multiply or divide both terms in the ratio by the same number. For example, if the ratio is a:b, you can write equivalent ratios by multiplying or dividing both a and b by the same number.
For example, the following ratios are all equivalent to 8 to 3:
16 to 6 (obtained by multiplying both terms by 2)
24 to 9 (obtained by multiplying both terms by 3)
4 to 1.5 (obtained by dividing both terms by 2)
8 to 3 (the original ratio)
2 to 0.75 (obtained by dividing both terms by 4)
These ratios all represent the same relationship between the two quantities, but the numbers are different.
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The time t (in minutes) needed to read an article appearing on a foreign-language placement test is given by the probability density function f(t) = 0.012t2 − 0.0012t3, 0 ≤ t ≤ 10. For a test taker chosen at random, find the probability that this person takes 9 minutes or more to read the article. (Round your answer to four decimal places.)
The probability that a test taker chosen at random takes 9 minutes or more to read the article is 0.38. Rounded to four decimal places, this is 0.3800.
To find the probability that a test taker chosen at random takes 9 minutes or more to read the article, we need to calculate the integral of the probability density function f(t) from 9 to 10 (since t is between 0 and 10).
∫(9 to 10) 0.012t^2 − 0.0012t^3 dt
Using the power rule of integration, we get:
[0.004t^3 - 0.0003t^4] from 9 to 10
Substituting the limits, we get:
[0.004(10)^3 - 0.0003(10)^4] - [0.004(9)^3 - 0.0003(9)^4]
Simplifying, we get:
0.38
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andy can run 20 miles in 6 hours. how much miles can he run in 1 hour.
I see that this is a rate of change time of problem
If andy can run 20 miles in 6 hours, than our goal is to find out how much he runs in a hour
So, we just have to divide 20 by 6.
It's sorta hard to explain
Questions?
Anyhow, the answer is around 3.3 miles per hour
Answer:
3.33 miles
Step-by-step explanation:
We Know
Andy can run 20 miles in 6 hours.
How many miles can he run in 1 hour?
We Take
20 / 6 ≈ 3.33 miles
So, Andy can run about 3.33 miles in 1 hour.
Adult giraffe weights are normally distributed, with a mean of 1,800 pounds and a standard deviation of 400 pounds. Approximately what percentage of the adult giraffes weigh more than 2,200 pounds? Choose the best answer.
- 84.13%
- 8.41%
- 1.59%
- 15.87%
Answer:
15.87%
Step-by-step explanation:
I picked randomly and got it right xD
Answer:
15.87%
Step-by-step explanation:
Just look lol
A certain solution has a k factor of .5453 when it is
measured in months. How long will it take for 15 grams to
increase to 60 grams?
Answer:
anyone use zooom
code:- 2574030731
pass:- HELLO
Z●●M
Similarly, converting between units can be very important, and it can be done by canceling units. For example, suppose that I want to convert 66 feet/second into miles per hour. If I know that there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour, then I can convert the quantity by multiplying it by those conversion factors in such a way that they cancel: ( 1 s
66ft )( 1 min60 s )( 1hr 60 min )( 5280ft1 mile )=45mile/hr I can do this because each conversion factor is equal to one, and multiplying by one does not change anything. Notice that if you cancel all the units that you can, you are left with the desired units. The numbers are evaluated with normal arithmetic. Cglints = 1 filn 4 ZCOS=1 strord Now you try, except I'm going to make up some fictional units for you to work with: There are 12 grees in a zool. There are 2 grees in 10 twibbs. There are 5 grees in a blob. There are 6 glints in a filn. There are 4 zools in a strord. 12 grees =1 ZOO 2 grees =10 twibs 5 grees =1 bic (a) Convert the quantity 7 glint/twibb (i.e., 7 glints-per-twibb) into filn/strord (i.e., filns-per-strord). As always, show your work. (b) Often we use prefixes for scientific units. For example, there are one-hundred centimeters in a meter. Similarly, the prefix kilo- means a factor of 10
3. For example, a kilometer is 10 3 meters or 1000 meters. If you need to review these prefixes, there is a handy chart on Wikipedia: ht tpa://en.wikipedia.org/wiki/Metric_prefix. Convert your answer from part (a) into megafiln/strord (i.e., megafilns-per-strord). (Hint: Check your answer for plausibility. Should the number of megafilns-per-strord be bigger or smaller than the number of filns-per-strord? If someone is going 1 foot-per-hour, are they going a larger number of feet-per-hour or a larger number of miles-per-hour?)
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.
(a) The given units can be converted as follows: 6 glints = 1 filn...
(1)12 grees = 1 zool...
(2)2 grees = 10 twibbs...
(3)5 grees = 1 bic...
(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:
7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord
(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.
1 mega = 106
Thus 1 megafiln = 106 filn
16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.
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Which of the following functions shows the linear parent function, F(x) = x,
shifted right?
OA. G(x) = 4x
OB. G(x) = x + 2
OC. G(x) = x-9
OD. G(x) = -x
Answer: C
Step-by-step explanation:
See attached image.
In a certain school district, students from grade 6 through grade 12 can participate in a school-sponsored community service activity. The following bar chart shows the relative frequencies of students from each grade who participate in the community service activity.
According to the given bar chart options A, B and C are the correct.
How do you find relative frequency?Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.
Given that, the bar chart shows the relative frequencies of students from grades 6 to 12 who participate in the community service activity.
Relative Frequency = Subgroup frequency/ Total frequency.
Relative Frequency = f/ n.
From the given bar chart we can see that
The maximum number of participating students was in grade 9.
The number of participating students in grade 6 was equal to the number of participating students in grade 7.
The relative frequency of all participating students in grades 6 and 7 combined was 0.60.
Therefore, options A, B and C are the correct answers.
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Complete question is in attachment:
State the assumption you would make to start an indirect proof of each statement.
If 2 x>16 , then x>8 .
The assumption for an indirect proof of the statement "If 2x > 16, then x > 8" is that x is not greater than 8.
To start an indirect proof of the given statement, we assume the opposite of what we want to prove. In this case, we assume that x is not greater than 8. This means that x is less than or equal to 8.
By assuming the opposite, we can work towards a contradiction to show that our initial assumption is incorrect, and therefore the original statement must be true.
Let's suppose that x is not greater than 8, which means x ≤ 8. If we multiply both sides of this inequality by 2, we get 2x ≤ 16.
However, this contradicts the given statement that 2x > 16. We have arrived at a contradiction, which means our assumption that x is not greater than 8 is false.
Therefore, we can conclude that if 2x > 16, then x must be greater than 8.
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2x3 equals what because I didn’t get it
Answer:2×3=6
or Add 2 three times
Perimeter is 25 cm, find x 10 8.2 cm
the distance around a circular pond is 88 meters what is its radius in meters
Answer:
14 meters
Step-by-step explanation:
88=2pi r
44= r pi
r approximately equals 14
kyle`s phone bill is $45 per month. how much does he have to pay for half a year of phone service
Answer:
$270
Step-by-step explanation:
Its simply 45 times 6 months
Triangle DEF is a right triangle. What is the measure of ZEFD?
D
57°
F
E
Answer:
33°Step-by-step explanation:
Sum of measures of angles in any triangle is 180°
The maesure of right angle is 90°
So: m∠EFD = 180° - 90° - 57° = 33°
A commuter travels to work using a city bus. The function f(t)=−600t+12,000 represents the distance remaining, in meters, after t minutes of riding the bus.
What does −600 represent in the function f(t)?
Responses
the slope of the function and the change in distance remaining, in meters per minute, of riding the bus
the slope of the function and the change in distance remaining, in meters per minute, of riding the bus
the slope of the function and the initial number of meters remaining when t=0
the slope of the function and the initial number of meters remaining when t = 0
the y-intercept of the function and the change in distance remaining, in meters per minute, of riding the bus
the y -intercept of the function and the change in distance remaining, in meters per minute, of riding the bus
the y-intercept of the function and the initial number of meters remaining when t=0
the y -intercept of the function and the initial number of meters remaining when t = 0
The interpretation of -600 is (a) the slope of the function and the change in distance remaining, in meters per minute, of riding the bus
How to interpret -600 in the equation?From the question, we have the following parameters that can be used in our computation:
f(t) = -600t + 12000
A linear equation is represented as
y = mx + c
Where
Slope = m
When the equations are compared, we have
m = -600
This means that
Slope = -600
So, the interpretation of -600 is the slope
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Confused please help Brainliest will be rewarded!!!!!!!
Answer:
56
Step-by-step explanation:
Take two points as far apart on the line (for maximum accuracy), preferably on grid points, and then calculate the vertical difference divided by the horizontal difference.
So (4, 224) and (0,0) are on the line, and (224-0)/(4-0) = 56
Consider the first order separable equation y′=y(y−1)
An implicit general solution can be written in the form e^-x+h(x,y)=C where h(x,y)=
Find an explicit solution of the initial value problem y(0)=4
y=
The explicit solution of the initial value problem y′=y(y−1), y(0)=4 is y = 1/(1-3e^-x).
To find the explicit solution, we begin by separating the variables and integrating both sides:
dy/dx = y(y-1)
(dy/y(y-1)) = dx
Integrating both sides yields
ln|y-1| - ln|y| = -x + C
where C is a constant of integration.
We can simplify this expression by combining the logarithms using the identity ln(a/b) = ln(a) - ln(b):
ln|(y-1)/y| = -x + C
Taking exponential of both sides gives
|(y-1)/y| = e^(C-x)
Letting k = e^C, we can rewrite this as:
(y-1)/y = ± k e^-x
Rearranging and solving for y, we obtain:
y = 1/(1-k e^-x )
We can determine the value of k using the initial condition y(0) = 4:
4 = 1/(1-k)
Solving for k gives k = 3.
Substituting k=3 into the expression for y, we get:
y = 1/(1-3e^-x)
Therefore, the explicit solution of the initial value problem is y = 1/(1-3e^-x), where y(0) = 4.
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Kevin Carter Male Clothing Ltd is a chain of fashion outlets across Birmingham and the
midlands. In quarter 1 they had inflows of £540,000 across their three stores, with outflows
of £495,000. Their opening balance for the quarter was £20,000. For quarter 2 they
anticipate inflows to increase by 7.5% and outflows increase by 5%. Calculate their closing
balance for Quarter 2.
According to the question, the closing balance for quarter 2 is £82,750.
What is the quarter ?A quarter is one fourth of a year. It is typically a three month period, usually consisting of January, February, and March; April, May, and June; July, August, and September; or October, November, and December. The terms of a quarter can vary depending on the context. For example, in the United States, quarters are commonly referred to as “fiscal quarters,” and begin on the first day of October, January, April, and July. In this case, each quarter covers a three-month period.
Inflows for quarter 2: 540,000 x 1.075 = £581,000
Outflows for quarter 2: 495,000 x 1.05 = £519,250
Closing balance for quarter 2:
Opening balance + Inflows - Outflows =
20,000 + 581,000 - 519,250 = £82,750
Therefore, the closing balance for quarter 2 is £82,750.
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PLEASE HELP :((
Which inequality is represented by the graph?
Answer:
y < 5/3x -3
Step-by-step explanation:
Used Desmos graphing calculator :)
(1 point) Write the following in the form a + bi: √-9-√√-100 How to Enter Answers: This answer is to be entered as an integer (positive or negative whole number). Do not attempt to enter fractio
The answer in the standard form is a + bi is: 0 - 3√2i.
What is the complex number in standard form?The expression √-9-√√-100 involves simplifying two square roots of negative numbers. Let's break it down step by step.
First, we look at √-9. The square root of a negative number results in an imaginary number. The square root of 9 is 3, so the square root of -9 can be written as 3i.
Next, we have √√-100. The square root of -100 is 10i. Taking the square root of 10i, we get √10i = √10 * √i = √10 * (1 + i).
Now, we combine the results of the two square roots: 3i - √10 * (1 + i).
To simplify this further, we multiply the terms: 3i - √10 - √10i.
Finally, we rearrange the terms to obtain the answer in standard form: 0 - 3√2i.
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If Amy bought 2 CDs for $14.00 each, a DVD for $24.99, and a video
game for $37.50, how much change would she get back from a $100 bill?
Answer: Change of $9.51
Step-by-step explanation: Use parenthesis to simplify this, 2(14) + 1(24.99)+1(37.50) = 100. Then subtract accordingly.
Answer:
9.51
Step-by-step explanation:
multiply the cost of the cds by 2, add the DVD and the video game, then subtract that answer with a 100 dollar bill.
We are interested in the first few Taylor Polynomials for the function
f(x) = 2x²+ 3e-*
centered at a = 0.
To assist in the calculation of the Taylor linear function, T₁(x), and the Taylor quadratic function, T₂(x), we need the following values:
f(0) =
f'(0) =
f''(0) =
Using this information, and modeling after the example in the text, what is the Taylor polynomial of degree one:
T₁(x) =
What is the Taylor polynomial of degree two:
T₂(x) =
Given function:f(x) = 2x²+ 3e-*To calculate Taylor polynomials for the function f(x), we need the following values:f(0) = ?f'(0) = ?f''(0) = ?Let's calculate these values one by one.f(x) = 2x²+ 3e-*.f(0) = 2(0)²+3e-0 = 3f(x) = 2x²+ 3e-*f'(x) = 4x +
0.f'(0) = 4(0) + 0 = 0.f''
(x) = 4.f''(0) = 4.Now, let's find the Taylor polynomials of degree one and two.Taylor polynomial of degree one: T₁(x) = f(a) + f'(a)(x-a)Let's take a = 0.T₁(x) = f(0) + f'(0)xT₁(x) = 3 + 0.x = 3Taylor polynomial of degree two:
T₂(x) = f(a) + f'(a)(x-a) + [f''(a)(x-a)²]/2
Let's take a = 0.T₂(x) = f(0) + f'(0)x + [f''(0)x²]/2T₂
(x) = 3 + 0.x + [4x²]/2T₂
(x) = 3 + 2x²So, the Taylor polynomial of degree one is T₁(x) = 3, and the Taylor polynomial of degree two is T₂(x) = 3 + 2x².
In mathematics, an expression is a group of representations, digits, and conglomerates that resemble a statistical correlation or regimen. An expression can be a real number, a mutable, or a combination of the two. Addition, subtraction, rapid spread, division, and exponentiation are examples of mathematical operators. Arithmetic, mathematics, and shape all make extensive use of expressions. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.
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The sum of three consecutive integers is 186. What are the integer
Answer: 61, 62, 63
Step-by-step explanation:
61 + 62 + 63 = 186
Prim had 2 7/10 pie.Write the decimal for the pie prim has
Answer:
decimal for the pie prim is 2 7/10 = 2.7
please help and explain.
answer : -40/41
steps:
soh cah toa
sin is soh
meaning opposite/hypotenuse
opposite is 9 and
hypotenuse is 41
now you can treat it like a triangle and use the pythagorean theorem
a^2 + 9^2 = 41^2
a^2 + 81 = 1681
a^2 = 1600
a = 40
in soh cah toa
cos is adjacent/hypotenuse so
cos is 40/41
its in quadrant 2 so its negative
-40/41
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