Answer:
Step-by-step explanation:
16x^4y^-3z^4 / 36x^-2yz^0
16x^4y^-3z^4 = 16x^4z^4/y^3
36x^-2yz^0 = 36x^-2y(1) =36x^-2y = 36y/x^2
16x^4y^-3z^4 / 36x^-2yz^0
= (16x^4z^4/y^3) / (36y/x^2)
= 16x^4z^4/y^3 * x^2/36y
= (4/9)x^6z^4/y^4
or another way
fist multiply it out
f(x) = 4x^(3/5) - x^(8/5)
now differentiate knowing d/dx(x^n) = n x^(n-1)
to get
4*(3/5) x^(-2/5) - 8/5 x^(3/5)
simplify to get
12/5/x^(2/5) - 8/5 x^(3/5)
If this is what your looking for please give me brainiest, i have done this problem in the past so i know how to solve it :)
$5000 was invested into an account that earns an annual rate of 4.75%. If money is compounded monthly, how much will the account be worth after 3 years?
Answer:
$5764.14
Step-by-step explanation:
The future value formula is useful here.
FV = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
FV = $5000(1 +.0475/12)^(12·3) = $5764.14
The account will be worth $5764.14 after 3 years.
A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 24.5 on the college entrance exam with a standard deviation of 3.3.
a) Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 24 on the math portion of the exam?
b) State the appropriate null and alternative hypotheses.
Answer:
a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance
Null hypothesis is accepted at 0.01% level of significance
They score is above 24 on the math portion of the exam
b)
Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school
H₀: μ = 24
Alternative Hypothesis: H₁: μ ≠ 24
Step-by-step explanation:
Step(i):-
Given random sample 'n' = 250
Given data sample mean x⁻ = 24.5
Standard deviation = 3.3
Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school
H₀: μ = 24
Alternative Hypothesis: H₁: μ ≠ 24
test statistic
[tex]Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397[/tex]
a) 99% or 0.01% level of significance
Level of significance ∝ = 0.01
[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576[/tex]
The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance
Null hypothesis is accepted at 0.01% level of significance
They score is above 24 on the math portion of the exam
b) 95% or 0.05% level of significance
Level of significance ∝ = 0.05
[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96[/tex]
The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance
Null hypothesis is Rejected at 0.05% level of significance
They score is below 24 on the math portion of the exam
The Retail Advertising and Marketing Association would like to estimate the average amount of money that a person spends for Mother's Day with a 99% confidence interval and a margin of error within plus or minus $6. Assuming the standard deviation for spending on Mother's Day is $36, the required sample size is ________.
A) 313 B) 284 C) 210 D) 239
Answer:
D) 239
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.575[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Required sample size:
Is n
n is found when [tex]M = 6[/tex]
We have that [tex]\sigma = 36[/tex]
So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]6 = 2.575*\frac{36}{\sqrt{n}}[/tex]
[tex]6\sqrt{n} = 36*2.575[/tex]
Simplifying by 6
[tex]\sqrt{n} = 6*2.575[/tex]
[tex](\sqrt{n})^{2} = (6*2.575)^{2}[/tex]
[tex]n = 238.7[/tex]
We round up, and the answer is 239.
In ΔGHI, the measure of ∠I=90°, IG = 3.9 feet, and GH = 6.3 feet. Find the measure of ∠H to the nearest tenth of a degree.
Answer:
IG=28.9 ft
Step-by-step explanation:
we know that
In the right triangle GHI
----> by CAH )adjacent side divided by the hypotenuse)
substitute the given values
solve for IG
see the attached figure to better understand the problem
Answer:
H=38.2466≈38.2
Step-by-step explanation:
Help please
The best answer gets brainliest.
Evaluate 8j-k+14 when j=0.25 and k=1
Hey Mate
Substitute
8(.25)-1+14
2-1+14
1+14
15
Hope it helps
So the right answer is 15.
Look at the attached picture
Hope it will help you
What is the value of x in the equation
3x - y = 30, when y = 15?
Answer:
x = 15
Step-by-step explanation:
3x - y = 30
Let y = 15
3x - 15 = 30
Add 15 to each side
3x-15+15 = 30+15
3x= 45
Divide each side by 3
3x/3=45/3
x = 15
Answer
x=15Step-by-step explanation:
[tex]3x - y = 30 \\ 3x = 30 + y \\ x = \frac{30 + y}{3} \\ \\ [/tex]
[tex]y = 15[/tex]
[tex]x = \frac{30 + y}{3} \\ x = \frac{30 + 15}{3} \\ x = \frac{45}{3} \\ x = 15[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
please answer fast im having trouble please help
Answer:
For the first question the answer is B
For the second question the answer is 15
Step-by-step explanation:
In the picture we can see that 45 is equal to 3 z's, which can also be written as 45 = 3z. Now that we know that 45 = 3z, we can divide both sides by 3 so that we know what z equals.
45 (/3) = 3z (/3)
15 = z
Now we can see that z is equal to 15
Answer:
The answer is B
Step-by-step explanation: 45 is =3z because it shows three triangles in the expression and three z variables so when you add all the variable together you get 3z, hence 45=3z. And the value of z is 1 because like all variables unless the expression accounts for the number of variable they all start out to have only one.
why
do we use
quartz clock
Answer:
because see a time
Step-by-step explanation:
Simplify the expression 12k-2+6k
A. 16k2
B. 10k+6
C. 18k-2
D. 16k
Answer:
16k so it is D
Step-by-step explanation:
What is the distance between the points 3, 7 and 15, 6 on a coordinate plane
Answer:
[tex]D=\sqrt{145 }\\[/tex]
Step-by-step explanation:
We are actually using Pythagorean theorem here but to be simple
we can use the equation:
D(distance)=[tex]\sqrt{(x_{1}- x_{2} )^{2} +( y_{1}-y_{2})^{2}}[/tex]
=
[tex]D=\sqrt{(15-3)^{2}+(6-7)^{2} } =\\D=\sqrt{(12)^{2}+(-1)^{2} } =\\\\D=\sqrt{144+1 } =\\D=\sqrt{145 }\\[/tex]
(If you meant 16 instead of 6 the answer would be 15)
Hope this helps!
Answer:
distance = Sqrt((x2-x1)^2 +(y2-y1)^2)
Step-by-step explanation:
which of the following correctly shows the quotient of 75 divided by 5?
Answer:
15
Step-by-step explanation:
in multiplication we have given form of expression
Dividend(D) = Quotient(Q) x Divisor(d) + Remainder(r)
The number which is getting divided is called dividend
divisor is the number which divides the dividend.
quotient is the No. of times a dividend is divisible by divisor.
if dividend is not completely divisible by divisor then leftover after quotient * divisor is remainder.
value of remainder should be always less than divisor.
In the problem given
Dividend is 75
divisor is 5
so by the given above expression
Dividend(D) = Quotient(Q) * Divisor(d) + Remainder(r) ----> 1
we know that 15*5 = 75
75 = 15*5 + 0
comparing with the expression 1
we have q = 15
r = 0
Thus, quotient is 15.
Angles R and S are complementary if m <R=65.3 what is the measure of <S?
Answer:
Step-by-step explanation:
if angles are complementary, that means they add up to 90º
if one is 65.3, then the other is just 90 - 65.3
<S = 90º - <R
<S = 90º - 65.3º
<S = 24.7º
What is 9+10 please help I have 1 minute left, please
Answer:
21
Step-by-step explanation:
9 = 3*3
10 = 5*2
5*3 = 15
2*3 = 6
15 + 6 = 21
Two lines intersect to form 4 angles. Angles 2 and 4 are vertical angles with angle 2 = 4x + 12 and angle 4 = 7x - 6. a) Find x. b) What is the measure of angle 2 ?
Answer:
Does this help?
Step-by-step explanation:
2 = 4x + 12 and angle 4 = 7x - 6
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 4
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 2
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 4
Graph 2= 4x + 12
Slope: Undefined
y-intercept: No y-intercept
Plot each graph on the same coordinate system.
4=
2=
4=
2= 4x + 12
4= 7x − 6
Which phrase represents the algebraic expression – 0472
the product of one-fourth and a number, plus seven
the product of seven and a number
the product of one-fourth and seven, plus a number
the product of seven and one-fourth
Write an equation in slope-intercept form of the line shown
Y=
Can someone help with the answer??
Answer:
y= -1/2 + 1
Step-by-step explanation:
It starts at +1 which is the B in y=mx+b. B is where a point touches the y-axis.
starting at a point: (-2,2), it goes down 1, and right 2. which now the slope is -1/2 because it is going down.
find the odd one in the series.835,734,842,761,853,981,532?
Answer:
835,761,853,981
Step-by-step explanation:
To find how long numbers are odd you look at the last number for example 835,5 is an odd number making the rest of the numbers odd.
Hope my explanation helped
Brian invests £4000 into his bank account.
He receives 7% per year compound interest.
How many years will it take for Brian to have more than £8000?
Answer:
It will take for Brian 7.14 years.
Step-by-step explanation:
I=PRT
4,000=8,000*7/100*T
4,000=560T (then you divide 560 from both sides.)
T=7.14
How is 5,328 represented in expanded notation
Answer:
5000
300
20
8
would be your answer :)
Is (0,7) a solution for the equation 2x + y = 6
Answer:
no
Step-by-step explanation:
plug numbers into equation
2x + y = 6
2*0 + 7 = 6
0+7=6
7=6
False
Answer:
0.7 is not a solution for the equation 2x+y = 6
Step-by-step explanation:
If you calculate it....
2 x 0 + 7 = 6
does not make any sense because
2 x 0 = 0
0 + 7 = 7 not 6
Volume of a rectangular prism is 15.75 in.³ the base has an area 10.5 in.² what is the height of the prism?
Answer:
Volume of a rectangular prism is 15.75 in.³ the base has an area 10.5 in.²
We also have:
Volume of a rectangular prism (V) = base area x height
=> height = V/base area = 15.75/10.5 = 1.5 in
Hope this helps!
:)
I need help so, please help
Answer:
4.2
Step-by-step explanation:
In a 45°45°90° triangle, the ratios of the sides to the hypotenuse is x : x√2
So if x√2 = 6, x = 3√2
3√2 is approximately 4.2
Hope this helps.
Megan's aquarium has a volume of 4,320 cubic inches.
Which could be the dimensions of the aquarium?
Select all that apply.
A 24 in. by 32 in. by 13 in.
B 18 in. by 24 in. by 10 in.
C 22 in. by 25 in. by 18 in.
D 12 in. by 15 in. by 24 in.
Answer:
B, and D.
Step-by-step explanation:
To calculate all of the possible dimensions, you multiply all of numbers in each letter to get the volume. If the volume in one of the letters equals 4,320 cubic inches, then that letter is one of your answers. For example, if you multiply for letter A, which includes the dimensions 24 in, 32 in, and 13 in, then you would get 9,984, which is not the same as 4,320.
What is the area of the trapezoid? If necessary, round your answer to the nearest tenth. A trapezoid with bottom side length of 8.5 feet, top side length of 5.5 feet, and height of 6.5 feet. 35.8 feet squared 45.5 feet squared 46.8 feet squared 55.3 feet squared
Answer:
45.5 sq. feet
Step-by-step explanation:
Area of trapezoid is given by 1/2(sum of parallel sides) * height of trapezoid.
In the problem
Parallel sides are bottom and top sides with length of 8.5 feet and 5.5 feet
Thus sum of Parallel sides = 8.5 feet + 5.5 feet = 14 feet
Height = 6.5 feet.
Thus,
area of trapezoid = 1/2*(14)* 6.5 feet = 7*6.5 feet = 45.5 sq. feet
The area of the trapezoid is whose sides are 8.5 feet and 5.5 feet with a height of 6.5 feet is 45.5 feet squared.
What is the area of a trapezoid?A trapezoid is a quadrilateral with parallel opposite sides and a height.
Mathematically, the area of a trapezoid can be calculated by using the expression:
[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(a+b)\times h}[/tex]
where:
a and b =the two parallel sides of the trapezoidh = height[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(8.5+5.5)\times 6.5}[/tex]
[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(14)\times 6.5}[/tex]
[tex]\mathbf{Area \ of\ a \ trapezoid = 45.5 \ ft^2}[/tex]
Learn more about calculating the area of a trapezoid here:
https://brainly.com/question/1410008
#SPJ2
A triangular prism. The rectangular sides are 5 feet by 4 feet, 5 feet by 5 feet, and 5 feet by 3 feet. The triangular sides have a base of 4 feet and height of 3 feet. [Not drawn to scale] 60 square feet 72 square feet 82 square feet 84 square feet
Answer:
72ft²
Step-by-step explanation:
Calculate the area of each face and then sum them.
area of base = 4 × 5 = 20 ft²
area of back = 5 × 3 = 15 ft²
area of sloping face = 5 × 5 = 25 ft²
area of 2 triangular faces = 2 × × 4 × 3 = 4 × 3 = 12 ft²
Thus
surface area = 20 + 15 + 25 + 12 = 72 ft²
Una tirolina de 26 m de largo está atada entre dos postes que están separados por 24 m. Si Manuela monta la tirolina desde el primer poste a una altura de 50 m, ¿cuál es la diferencia entre los dos postes?
Answer:
The difference between the heights of the poles is 10m
Step-by-step explanation:
The distance between poles is 24 m
The length of the cable is 26m
You first use the Pythagoras' theorem to calculate the vertical distance between the end of one pole and the end of the other one.
[tex]c_2=\sqrt{h^2-c_1^2}\\\\c_2=\sqrt{(26m)^2-(24m)^2}=\sqrt{100}m=10m[/tex]
The difference between the heights of the poles is 10m
The higher pole has height of 50m
Then, the lower pole has a height of 50m - 10m = 40m
The volume of the cylinder pi cm.^3. What is the volume of a cone with the same base and height as the cylinder
Which statement about a sphere is true?
Answer:
it is 3D
Step-by-step explanation:
Answer:
Its 3 dimensional
Step-by-step explanation:
I took the test
We suspect the overall mean monthly rent of apartments in Shadyside is higher than in Oakland, so we survey a random sample of Oakland apartments, and a random sample of Shadyside apartments.
1. Which of the following is the most appropriate statistical test to use to determine if the overall mean monthly rent of apartments in Shadyside is higher than in Oakland?
a. Chi-squared test for independence
b. Inference for regression
c. Matched pairs t-test
d. ANOVA
e. Two-sample t-test
Answer:
e. Two-sample t-test.
Step-by-step explanation:
This is simply because you only have interval level of measure and you are comparing two populations.
Moreso, this hypothesis test is used to determine questions related to the mean in situations where data is collected from two random data samples. The two sample T-test is often used for evaluating the means of two variables or distinct groups, providing information as to whether the means between the two populations differs. It also can be used to compare the responses of males and females who have each received different treatment within an experiment.