Answer:
[tex](4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7[/tex]
Step-by-step explanation:
Given
[tex](4x^3y^5)(3x^5y)^2[/tex]
Required
The equivalent expression
We have:
[tex](4x^3y^5)(3x^5y)^2[/tex]
Expand
[tex](4x^3y^5)(3x^5y)^2 = 4x^3y^5*9x^{10}y^2[/tex]
Further expand
[tex](4x^3y^5)(3x^5y)^2 = 4*9*x^3*x^{10}y^5*y^2[/tex]
Apply laws of indices
[tex](4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7[/tex]
Plz and try to find U
Answer:
u = 6
Step-by-step explanation:
We can use a ratio to solve
3 5
----- = ---------
u 10
Using cross products
3*10 = 5u
30 = 5u
Divide by 5
30/5 = 5u/5
6 = u
Answer: u=6m
Step-by-step explanation:
The 2 triangles, LKO and NMO are similar by AAA congruence. Therefore, we can use ratios to find u.
[tex]\frac{5}{10}=\frac{3}{u}[/tex]
Notice how the 5 and 10 are each inbetween the double and single angle congruence indicators in the image. u and 3 are also both in between the right angle and double line indicator.
When you cross multiply, you get 5u=30, and after simplifying you get u=6 m
Another way you could have done this is by finding the scale factor.
The scale factor between corresponding sides in the 2 triangles is 2. (5 x 2 = 10).
When you multiply 3 by 2, you also get 6 m.
Determine the critical values for the confidence interval for the population standard deviation from the given values. Round your answers to three decimal places.
n = 12 and c = 0.9.
Answer:
The answer is "[tex]\chi^2_{L} = 4.575 \ and\ \chi^2_{U}= 19.675[/tex]"
Step-by-step explanation:
[tex]n=12\\\\\ c= 0.9[/tex]
Calculating the level of significance [tex](\alpha) = 1 -c[/tex]
[tex]=1-0.9\\\\=0.1[/tex]
Calculating the degrees of freedom:
[tex]df=n-1=12-1=11[/tex]
Calculating the critical value:
Applying the Chi-Square table, the critical values for the two-tailed test with a degree of freedom (11) for the significance level of [tex]\alpha = 0.1[/tex]:
[tex]\chi^2_{L} = 4.575 \\\\\chi^2_{U}= 19.675[/tex]
Which of the following equations represents a linear function?
Question 8 options:
y =6x
x3 – y = –2
2x – 4y = 6
y =4x−−√
What is the area of the pool ?
Answer:
https://brainly.com/question/24258518
Step-by-step explanation:
A reacher deposited Rs 66000 in his/her saving account for as many years as the rate of interest per annum .If he/ she received Rs 10560 as interest at the end of saving period find the time duration and rate of interest.
Help me pls
I need the answer as quickly as possible
Answer:
Time and rate is 4 years and 4% respectively.
Step-by-step explanation:
P = Rs 66000
so
T = R
I = 10560
so
I = PTR/100
Rs 10560 = (66000*T^2)/100
or, Rs 1056000 = 66000*T^2
or. 1056000/66000 = T^2
or, 16 = T^2
OR, T =√16
so T = 4
Then
T = R
so, R = 4
verify sin2θ/1+cos2θ =tanθ
Answer:
LHS.= Sin 2x /( 1 + cos2x )
We have , sin 2x = 2 sinx•cosx
And. cos2x = 2cos^2 x - 1
i.e . 1+ cosx 2x = 2cos^2x
Putting the above results in the LHSwe get,
Sin2x/ ( 1+ cos2x ) =2 sinx•cosx/2cos^2x
=sinx / cosx
= Tanx
.•. sin2x/(1 + cos2x)= tanx
Step-by-step explanation:
If two angles are complementary, find the measure of each of angle.
Answer:
B: 30 and 60
Step-by-step explanation:
First, let's set up an equation. Since the two angles are complementary, we can write the equation like this:
2p + p = 90
Now, let's solve it!
2p + p = 90
Combine like terms:
3p = 90
Divide each side by 3 to isolate p:
3p/3 = 90/3
p = 30
Now that we know how many degrees one of our angles is, we can subtract that from 90 to get both of the complementary angles.
90 - 30 = 60
Therefore, the two angles that are complementary in this case are 30 and 60 degrees.
Consider this polynomial, where a is an unknown real number.
correctly/incorrectly
and why
9514 1404 393
Answer:
incorrectly; used 1 in the division instead of -1incorrectly; evaluated higher powers of -1 incorrectlyStep-by-step explanation:
The result each should have obtained is ...
a +10 = 17
a = 7
Braulio's mistake was in using 1 as his divisor instead of -1. His bottom row should have been 1, 4, a-4, 1-a, a +10.
Zahra's mistake was improperly evaluating higher powers of -1. Her evaluation should have been 1 -5 +a +3 +11 = a +10.
If f(x)=x-2 and g(x)=2x-6, then g(4)/f(3)
Answer:
2
Step-by-step explanation:
g(x) = 2x - 6
g(4) = 2*4 - 6
g(4) = 2
f(x) = x - 2
f(3) = 3 - 2
f(3) = 1
Thus g (4) / f (3) = 2 / 1 = 2
The value of the function g (4) / f (3) is 2.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We are given the function as;
f(x)=x-2 and g(x)=2x-6, then we need to find g(4)/f(3)
Therefore, g(x) = 2x - 6
g(4) = 2*4 - 6
g(4) = 2
Similalry,
f(x) = x - 2
f(3) = 3 - 2
f(3) = 1
Thus we have the value of function as
g (4) / f (3) = 2 / 1
g (4) / f (3) = 2
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Which choice correctly shows the solution(s) of the equation x2 = 1442
A)
x= √144
B)
x=V12
X=-
-V144
D)
x = 1V144
Answer:
Step-by-step explanation:
If the 2s are exponents, you need to indicate this with "^":
x^2 = 144^2 means x² = 144²
x = ±√144² = ±144
Answer:
Step-by-step explanation:
f the 2s are exponents, you need to indicate this with "^":
x^2 = 144^2 means x² = 144²
x = ±√144² = ±144
what vulnerable does the 4 represents in the number 487.009
Answer:
400 :D
Step-by-step explanation:
If p-1/p=4,find the value of P2+1/p2
Answer:
18
Step-by-step explanation:
(p-1/p)² = 4²
p² + 1/p² - 2(p)(1/p) = 16
p²+1/p² -2 =16
so, p²+1/p² = 16+2
= 18
Which graph corresponds to the following inequality? -2x-3y<6
Answer:
A) It’s the First graph
Step-by-step explanation: hope this helps!
The graph corresponds to the inequality -2x - 3y < 6 is option A.
How to find the value of x?To estimate the value of x and y, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
Given: -2x - 3y < 6
then -2x - 3y = 6
Put the value of y = 0, then
[tex]$-2x-3*0=6[/tex]
-2x = 6
x = -6/2 = -3 and
-2x - 3y = 6
Put the value of x = 0, then
[tex]$-2*0-3y=6[/tex]
-3y = 6
y = -6/3 = -2
The value of x = -3 and y = -2.
Therefore, the correct answer is option A.
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what is the mean in 0.33, 0.33, 0.54, 0.46, 0.30, 0.77, 0.42, 0.44, 0.60, 0.32, 0.47, 0.64, 0.61, 0.69, 0.41, 0.39, 0.66, 0.60, 0.61, 0.70
Answer:
0.5145
Step-by-step explanation:
Mean is also known as average. It is expressed as:
Mean = Sum of data/Sample size
Sum of data = 0.33+0.33+0.54+0.46+0.30+0.77+0.42+0.44+0.60+0.32+0.47+0.64+0.61+0.69+0.41+0.39+0.66+0.60+0.61+0.70
Sum of data = 10.29
Sample size = 20
Mean = 10.29/20
Mean = 0.5145
Hence the mean of the data is 0.5145
Find the length of FT
Step-by-step explanation:
Hey there!
From the given figure;
Angle FVT = 43°
VT = 53
Taking Angle FVT as reference angle we get;
Perpendicular (p) = FT = ?
Base (b) = VT = 53
Taking the of tan;
[tex] \tan( \alpha ) = \frac{p}{b} [/tex]
Keep all values and simplify it;
[tex] \tan(43) = \frac{ft}{53} [/tex]
0.932515*53 = FT
Therefore, FT= 49.423.
Hope it helps!
Answer:
A. 49.42
Step-by-step explanation:
tan 43 = FT ÷ VT
0.932515086 = FT ÷ 53
49.42 = FT
A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 5.1. A sample of 33 honors students is taken and is found to have a mean GPA equal to 5.2. The population standard deviation is assumed to equal 0.40. The parameter to be tested is ___________________________.
Answer:
B. The mean GPA of the university honors students
Step-by-step explanation:
Parameter in statistical parlance simply refers to numerical characteristics obtijed from the population dataset or observations. The population itself refers to all observations belonging to a particular or specific experiment or research. Here, the population is the all students belonging to the university's honors programme. The measured characteristic is the mean of the student's GPA. THEREFORE, the parameter will be the mean GPA of the honors student.
Farmers in one state produced 417,938,650 bushels of corn one year. If the production of corn decreases by ten million bushels, how many bushels of corn will be produced?
A 417,938,650 bushels
B 417,938,640 bushels
C 417,928,650 bushels
D 407,938,650 bushels
Answer:
D
Step-by-step explanation:
417,938,650-10,000,000=407,938,650
Answer: D) 407,938,650 bushels
==========================================================
Explanation:
417,938,650 = 417 million, 938 thousand, 650
Focus on the "417 million" part only. Subtract 10 million from this, because of the key word "decrease". So we go from 417 to 417-10 = 407
Meaning we drop from 417 million to 407 million
The other parts remain the same
So "417 million, 938 thousand, 650" updates to "407 million, 938 thousand, 650"
Then we translate that somewhat wordy form into a pure number 407,938,650 which is choice D
In short, we just changed 417 to 407 and kept everything else the same.
How much 50% disinfectant solution must be mixed with a 40% disinfectant solution to produce 35 gal of a 45% disinfectant
solution?
50% 40% 45%
Mixture Mixture Mixture
Amount of solution
Amount of disinfectant
Answer:
sorry bhanxchu ma tha timro sathi hola bhandai thiye yata dehrai garmi xcha ki xaina tha man parauxchu tha man parauxchu tme maile man paraudinayou hola yesto handsome bhayera janu xchu ki xaina delete
To produce 35 gallons of a 45% disinfectant solution, you would need to mix 15 gallons of the 50% disinfectant solution with 20 gallons of the 40% disinfectant solution.
To solve this problem, we can use the concept of mixing different concentrations of solutions to obtain a desired concentration. Let's assume we need to mix x gallons of the 50% disinfectant solution with y gallons of the 40% disinfectant solution to obtain 35 gallons of a 45% disinfectant solution.
The amount of disinfectant in the 50% solution is 50% of x gallons, which is 0.5x gallons. The amount of disinfectant in the 40% solution is 40% of y gallons, which is 0.4y gallons.
Since we want to have 35 gallons of a 45% disinfectant solution, the amount of disinfectant in the final mixture would be 45% of 35 gallons, which is 0.45 * 35 = 15.75 gallons.
Now we can set up two equations to solve for x and y:
0.5x + 0.4y = 15.75
x + y = 35
We can solve these equations to find that x = 15 and y = 20. Therefore, you would need to mix 15 gallons of the 50% disinfectant solution with 20 gallons of the 40% disinfectant solution to produce 35 gallons of a 45% disinfectant solution.
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Write 36 as a product of its prime factors.Write the factors in order,from smallest to largest.
Pls Help me!!!!
Answer:
2×2×3×3
Step-by-step explanation:
Answer:
2×2×3×3
Step-by-step explanation:
36=3×12
12=3×4
4=2×2
=3×3×2×2
Hope this helps! <3
Charity is planting trees along her driveway, and she has 6 pine trees and 6 willows to plant in one row. What is the probability that she randomly plants the trees so that all 6 pine trees are next to each other and all 6 willows are next to each other
Answer:
0.0022 = 0.22% probability that she randomly plants the trees so that all 6 pine trees are next to each other and all 6 willows are next to each other.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the elements are arranged, so we have to use the arrangements formula.
Arrangements formula:
The number of possible arrangements of n elements is:
[tex]A_{n} = n![/tex]
Desired outcomes:
Pine trees(6!) then the willows(6!) or
Willows(6!) then the pine trees(6!). So
[tex]D = 2*6!*6! = 1036800 [/tex]
Total outcomes:
12 trees, so:
[tex]T = 12! = 479001600 [/tex]
What is the probability that she randomly plants the trees so that all 6 pine trees are next to each other and all 6 willows are next to each other?
[tex]p = \frac{D}{T} = \frac{1036800 }{479001600 } = 0.0022[/tex]
0.0022 = 0.22% probability that she randomly plants the trees so that all 6 pine trees are next to each other and all 6 willows are next to each other.
Use the differential to approximate the expression. Then use a calculator to approximate the quantity, and give the absolute value of the difference in the two results to four decimal places.
√
53
9514 1404 393
Answer:
0.0056
Step-by-step explanation:
f(x) = √(49 +x)
f'(x) = 1/(2√(49 +x))
A linear approximation of f(x) expanded about x=0 is ...
f(x) ≈ f(0) + f'(0)x = 7 +x/(2·7)
Then for √53, we have x=4
f(4) ≈ 7 +4/14 = 7 2/7 . . . . . approximate √53 using differentials
__
The calculator value of √53 is about 7.280110, so the difference in results is ...
approx - actual ≈ 7.285714 -7.280110 = 0.005604 ≈ 0.0056
On Monday, Main Street station sells 40 tickets.
There are four types of ticket; infant, child, adult and senior.
The bar chart shows the number of infant, child and adult tickets sold.
How many Senior tickets sold ?
Find how many adult tickets were sold than child tickets ?
BOTH QUESTION MUST BE ANSWERES
BEST ANS IS ALWAY MARKED BRAINLIST
NO FAKE
Answer:
How many Senior tickets sold ?
0
Find how many adult tickets were sold than child tickets ?
5
Step-by-step explanation:
Answer:
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u know
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Step-by-step explanation:
A group consists of 5 men and 8 women. 4 people are selected to attend a conference.
a. In how many ways can 4 people be selected from this group of 13?
b. In how many ways can 4 women be selected from the 8 women?
c. Find the probability that the selected group will consist of all women.
a. The number of ways to select 4 people from the group of 13 is ___.
b. The number of ways to select 4 women from the group of 8 women is ___.
c. The probability is ___.
(Type an integer or a simplified fraction.)
Answer:
in four (4) ways 4 people can be selected
Please show ALL YOUR WORK and how u came to the conclusion.
Answer:
A
Step-by-step explanation:
clearly, the equation has to allow t=0, and for that point we need to get 100% (of carbon-14) as result.
and so we also see, that the function calculates the % of the remaining carbon-14.
so, we need the desired outcome 60(%),
because 60 = 100 - 40.
and again, we need a function that shows t=0.
the only answer option fulfilling both criteria is A.
B divides in the exponent by t, so t=0 is not in the domain of the function.
and C and D aim for the wrong remaining percentage.
Pls if anyone knows the answer that will be greatly appreciated :)
Answer:
Volume 1=27m³
Volume 2=13m³
Volume 3= 23m³
If the angles of a triangle are represented by x, y and (x + y), the triangle is
Select one:
a, an equilateral triangle
b. none of these
c. a right triangle
d. an isosceles triangle
Answer:
b - none of these
Step-by-step explanation:
none of the sides in this triangle is equal and so it is a scalene triangle
Is (5, 4) a solution to the equation y = x − 1?
yes or no
Problem
Amir can run 151515 kilometers in one hour. How many kilometers can Amir run per minute?
There are 606060 minutes in 111 hour.
Answer:
60
Step-by-step explanation:
15kilometers into 1 hour
60 minutes in 1 hour
so Amir ran 15 kilometers in 60 minutes
Answer:
0.25 km
step explanation:
that was the anwser on khan
2) Find the missing digit for the following bank identification numbers:
a. 71100139
b. 321000 56
Answer:
i donno
Step-by-step explanation:
i
Diego made the shape on the left and Elena made the shape on the right. Each shape uses 5 circles.
Answer:
a
Step-by-step explanation:
