simplify the above expression, then tell me what rule you used, (product rule, power rule, quotient rule.) then explain how you did the problem
Answer:
Step-by-step explanation:
You have to use the power rule for this. The way I teach my Algebra 1 students to do this is take everything inside the parenthesis and put it into its own set of parenthesis, and then raise each one to the outside power. One thing at a time makes it not so overwhelming. Like this:
[tex](4)^2(x^5)^2(y^3)^2[/tex]
Now follow the power rule. Multiply the power of each element in the parenthesis by the 2 outside.
[tex](4^1)^2=4^2=16[/tex], then [tex](x^5)^2=x^{10[/tex], and finally, [tex](y^3)^2=y^6[/tex].
Now put it all together to get:
[tex]16x^{10}y^6[/tex]
Can some one please help me answer these questions
What questions? There are no questions lol
The Mean Corporation would like to invest in the booming health food industry. It is considering the creation of a health-drink franchise called Goose Juice. The investment department of the Mean Corporation wants to investigate the feasibility of this venture by examining the profits of similar franchises. It believes that the venture will be feasible if an average annual profit of more than $85,000 can be expected from each Goose Juice that is opened. It is known that the annual profits earned by health-drink franchises has a population standard deviation of $8,700.
The Mean Corporation's statisticians would like to construct a hypothesis test for the population mean annual profit earned by health-drink franchises. A random sample of 50 franchises was chosen and their annual profit for the previous financial year was recorded. The mean annual profit for the sample was calculated as $82,441.
The hypotheses that were used by the statisticians were
Null hypothesis: population mean = 81,000, Alternative hypothesis: population mean > 81,000 and the test statistic was found to be 1.29 (to 2 decimal places).
Required:
Calculate the p-value for this test, giving your answer as a decimal to 4 decimal places.
Answer:
The p-value is approximately 0.9015
Step-by-step explanation:
The statistic parameters are;
The population mean, μ₀ = $85,000
The population standard deviation, σ = $8,700
The size of the sample, n = 50
The sample mean annual profit, [tex]\bar x[/tex] = $82,441
The null hypothesis, H₀: μ = 81,000
The alternative hypothesis, Hₐ: μ > 81,000
Given that n > 30, a z-test is used
The test statistic ≈ 1.29
Therefore, we have;
[tex]z=\dfrac{\bar{x}-\mu_0 }{\dfrac{\sigma }{\sqrt{n}}} = 1.29[/tex]
From the z-score, the p value for a test statistic of 1.29 = 0.90147 which is 0.9015 after rounding up to 4 decimal places
help me with this please!!! :)
Answer:
C. 4x-4
Step-by-step explanation:
If you divide by 4 on the left side you get...
16x/4 - 16/4
4x - 4
We are dividing by 4 because it was factored out of the expression.
What is the area of 54 ft
Answer:Surface Area = 6×542 = 17496 feet2
Step-by-step explanation:
A package of gift cards has a length of
8 inches, a width of 4 inches and a
volume of 64 inches cubed. What is
the height of the box?
A) 6
B) 8.
C) 4
D) 2.
D) 2.
8x4=32
64/32=2
Answer:
8x(4) = 64
8x = 16
h = 2 inches
which expression is equal to 1/6?
Express as a difference: a+5
The expression expressed as a difference is (a - 2) - (-7).
We have,
We can express a + 5 as a difference by subtracting a suitable term from it.
One way to do this is to subtract 2 and add 2, like this:
a + 5 = a + 5 - 2 + 2 (adding and subtracting 2)
= (a - 2) + 7 (rearranging)
Now,
We can express a + 5 as the difference between a - 2 and -7, like this:
a + 5 = (a - 2) - (-7)
Thus,
The expression expressed as a difference is (a - 2) - (-7).
Learn more about expressions here:
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4) Find a solution to the following system of equations by graphing
X-y = 11
X-y = 5
!SHOW WORK PLEASE!
Answer:
No solution
Step-by-step explanation:
Given
[tex]x - y = 11[/tex]
[tex]x - y = 5[/tex]
Required
Solve by graph
See attachment for graph.
From the attachment, lines [tex]x - y = 11[/tex] and [tex]x - y = 5[/tex] do not intersect. This implies that, no solution exist
factor (5a–3b)^2–25a^2 PLS HELP 50 POINTS
Answer:
(-3b) (10a -3b)
Step-by-step explanation:
(5a–3b)^2–25a^2
Replace (5a–3b) with x
x^2 - (5a) ^2
We have the difference of squares
( x-5a) (x+5a)
Now replace x with (5a -3b)
(5a -3b -5a) ( 5a -3b +5a)
Combine like terms
(-3b) (10a -3b)
Answer:
(5a-3b)²-25a²
= 25a²+9b²-2×5a×3b-25a { (a-b)²= a²+b²-2ab}
=9b²-30ab
=3b(3b-10a)
= -3b(10a-3b)
Ans
Hope, it helped!
What is the value of this expression when c = -4 and d = 10
Answer:
B: 9
Step-by-step explanation:
First plug in the numbers to the equation
[tex]\frac{1}{4} (c^{3} + d^{2})[/tex]
[tex]\frac{1}{4} (-4^{3} + 10^{2})[/tex]
Then use PEMDAS to solve
[tex]\frac{1}{4} (-4^{3} + 10^{2})[/tex]
[tex]\frac{1}{4} (-64 + 100)[/tex]
[tex]\frac{1}{4} (36)[/tex]
9
find the measure of angle a.
Answer:
<A=50
Step-by-step explanation:
85+x+55+x+50=180
2x+190=180
2x=180-190
2x=-10
x=-5
A=x+55
A=-5+55
A=50
A cube is a special right rectangular prism with congruent sides. If a block of cheese is shaped like a cube with a length of 5 inches, find the volume of the block of cheese.
A) 25 cubic inches B) 100 cubic inches Eliminate C) 125 cubic inches D) 175 cubic inches
Answer:
125 cubic inches
Step-by-step explanation:
Hey There!
We can easily find the volume of a cube by cubing the side length
[tex]5^3\\5*5=25\\25*5=125[/tex]
so we can conclude that the volume of the block of cheese is 125 cubic inches
45 degrees and 6 find each variable
Will mark brainliest
Answer:
[tex]x = y = 3\sqrt{ 2[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x and y
The given triangle has 45 degrees as one of its angles, and it is also a right angle triangle.
For this kind of parameter, the opposite = the adjacent
i.e. x = y
Apply Pythagoras theorem
[tex]x^2 + y^2= 6^2[/tex]
Substitute x for y
[tex]y^2 + y^2= 6^2[/tex]
[tex]2y^2= 36[/tex]
Divide by 2
[tex]y^2 = 18[/tex]
Take square root
[tex]y = \sqrt{18[/tex]
[tex]y = \sqrt{9 * 2[/tex]
Split
[tex]y = \sqrt{9} *\sqrt{ 2[/tex]
[tex]y = 3*\sqrt{ 2[/tex]
[tex]y = 3\sqrt{ 2[/tex]
[tex]x = y = 3\sqrt{ 2[/tex]
For some constant c, the random variable X has probability density function
f(x)=(c(1-x)^9, 0≤x≤1
0, otherwise)
a) Find c.
b) Find P(X>0.6)
Answer:
b) Find P(X>0.6)
Explanation:
In order to find the product to the unknown variable you have to first solve the equation that has the parenthesis, The reason you should first find the parenthesis is because of The Order Of Operations, You have to first do parenthesis to find the unknown variable.
Please help with this math question!
Find the area . I'm begging
Answer:
274.05 (I assume they round it to A. 274.1)
Step-by-step explanation:
The figure seems to be comprised of 7 triangles, each of base 8.7 and height 9.
total area would be
7 * (8.7 * 9 / 2) = 7 * 39.15 = 274.05
Simplify. Rewrite the expression in the form 5^n. 5^10/5^3
Answer:
5^7
Step-by-step explanation:
Name this net pattern.
Answer:
triangular pyramid
Step-by-step explanation:
An Olympic swimmer competes in the same events during each long course swim season. A swimmer currently
competing on the United States Women's Olympic Swim Team, will swim her best events each year with the hope of
continuous Improvement. The following table is a record of the swimmer's best times for the 100 meter freestyle event,
measured In long course meters.
Long Course Recorded
Season Best Time
2005 2:33.42
2006
2:24.81
2007
2:10.93
2008
2:03.45
2009
1:58.67
2010
1:59.17
1:55.06
2011
2012
1:55.82
2013
1:54.81
2014
2:00.03
1. Create a scatter plot representing the data displayed in the table.
2. Use the scatter plot to determine whether there is positive, negative or no correlation between the data values.
3. Write a conclusion statement regarding the data and the rate of change present in the line of best fit. Do not actually
calculate the slope or write the equation for the line of best fit.
Please help me
Will give brainly
Just give me the answer to 2 and 3
I already have 1
I just need 2 and 3
Please and thank you
Please answer this
Answer: Equation for the line of best fit is given by f(x)=-4.28402x+0.0875
Step-by-step explanation: like what you just put in your picture
Long Course Season Recorded Best time
2005 2:33.42
2006 2:24.81
2007 2:10.93
2008 2:03.45
2009 1:58.67
2010 1:59.17
2011 1:55.06
2012 1:55.82
2013 1:54.81
2014 2:00.03
-Since we can see from the scatter plot that it has negative correlation.
Equation for the line of best fit is given by f(x)=-4.28402x+0.0875
- This is what I can give you I see some people do this work before and when I see it I just take note and I think it was the answer...
- Hope this help :)
Why do you think adding and subtracting polynomial expressions is like adding and subtracting
expressions?
Answer:
Polynomials are closed under addition and subtraction, which is fancy mathspeak that means that whenever we add or subtract two polynomials, we always get another polynomial. In that way, they behave a lot like the numbers you're probably already familiar with. Adding and subtracting:
Two integers gives you another integerTwo rational numbers gives you another rational numberTwo real numbers gives you another real numberAnd it works the same with polynomials!
cupcakes for a bake sale. He can bake 45
cupcakes in one hour. Which inequality shows the minimum number of hours that Hannah must bake to make at least 250
cupcakes?
Answer:
About 5 to 5.5 hours
Step-by-step explanation:
Get out of my swamp!
The time it takes to charge the battery of a cell phone is directly proportional to the charge of the battery.
The equation, y = 0.21x, is used to approximate the time it takes to charge the battery of a cell phone.
Cell Phone Battery Charge
100
70
60
Bettery Charge (%)
SON
40
BO
20
NON
Time (AM)
Approximate how long it will take the battery to charge to 100%.
4 hours
7 hours
6 hours
5 hours
Please help me
Determine the roots of the following function of the quadratic formula:
x^2-5x-4=0
Answer:
4,1
Step-by-step explanation:
(x-4)(x-1)
x=4 or x=1
Find y if the line through (5, 2) and (7, y) has a slope of 4.
Y=___
Answer:
5
Step-by-step explanation:
how many people in the town of summit have jobs if there are 9,255 people in the town and 1/3 of them are employed? simplify the fraction if possible
Answer:
divide 9,255 divide 1/3 and you will get your answer hope this helps :)))
Step-by-step explanation:
In the town of Summit, 3,085 people have jobs. If there are 9,255 people in the town and 1/3 of them are employed.
To find the number of people in the town of Summit who have jobs, we can multiply the total population by the fraction representing the employed individuals.
Total population = 9,255 people
Fraction employed = 1/3
Number of people employed = Total population * Fraction employed
Number of people employed = 9,255 * (1/3)
To simplify the fraction (1/3), we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case.
Dividing 1 and 3 by 1, we get:
1/1 = 1
3/1 = 3
So, the simplified fraction is 1/3.
Continuing the calculation:
Number of people employed = 9,255 * (1/3)
Number of people employed = 9,255 / 3
Number of people employed = 3,085
Therefore, in the town of Summit, 3,085 people have jobs.
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Jessie started a record collection with 8 records. Each week he added 3 records to his collection. Riley started her record collection with 23 records. Each week she gave away 2 records.
a) Write an equation to represent the number of records in Jessie's collection based on the number of weeks he has been collecting records.
3 per week + blank=8 Step-by-step explanation: brainly plz
Determine if the following statements are true or false. If true give a reason or cite a theorem and if false, give a counter example.
a. If {a _n} is bounded, then it converges.
b. If {a _n} is not bounded, then it diverges.
c. If {a _n} diverges, then it is not bounded
Give an example of divergent sequences {a _n} and {b _n} such that {a _n + b _n} converges
Answer:
a. False the series [tex]\sum\limits_{i=1}^\infty (-1)^n[/tex]is bounded but does not converge
b. False, xₙ = n + (-1)ⁿ⁻¹(n - 1) does not diverge to infinity but it is not bounded for n ≥ 1
c. False some bounded sequences are divergent
An example of divergent sequences, aₙ, and bₙ, such that aₙ + bₙ converges is [tex]a_n = \sum\limits_{n} \dfrac{1}{n} , \, b_n = \sum\limits_{n} \dfrac{-1}{n}[/tex]
[tex]\sum\limits_{n} \dfrac{1}{n} + \sum\limits_{n} \dfrac{-1}{n}[/tex] is convergent
Step-by-step explanation:
Hi food morning
What is 10 x 100
Answer:
1000
Step-by-step explanation:
Answer:
1,000
Step-by-step explanation:
pls give brainliest
square root of 320 rounded to the nearest tenth
Answer: 17.9
Step-by-step explanation:
Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded annually, how much total interest will she earn in 10 years?