Answers
Answer:
Factorise out x and y terms:
[tex]{ \tt{ = \frac{ {x}^{2} {y}^{4} (5x - 3y)}{45} }} \\ [/tex]
Related Questions
Bài 2: Một công ty XNK Việt Nam nhận được tiền bán hàng từ hơp đồng XK là 35.000.000 JPY, đồng thời phải thanh toán tiền mua nguyên vật liệu NK là 3.500.000 CNY. Tại thời điểm thực hiện hợp đồng, NH niêm yết các tỷ giá giao ngay như sau: USD/JPY = 128,15/27 USD/CNY = 9,5575/91 USD/VND = 19.125/38 Hỏi tài khoản VND của công ty còn bao nhiêu tiền sau khi đã thực hiện các hơp đồng trên? Nêu ra phương án thanh toán có lợi nhất cho công ty? %3D
Answers
Answer:
Ask in English then I can help
Find the volume of the cylinder in terms of [tex]\pi[/tex].
h = 6 and r = 3.
a. 27[tex]\pi[/tex] in.³
b. 108[tex]\pi[/tex] in.³
c. 54[tex]\pi[/tex] in.³
d. 324[tex]\pi[/tex] in.³
Answers
Answer:
c. 54[tex]\pi[/tex] in.³
The volume of cylinder is 54[tex]\pi[/tex] in.³
Step-by-step explanation:
Given that :-
Height of cylinder , h = 6.Radius of cylinder, r = 3.To Find :-
Volume of cylinder.Solution:-
We use formula
Volume of cylinder = π × (radius)² × h
Substitute the value of radius and height.Volume of cylinder = π × ( 3)² × 6.
Evaluate the exponent.Volume of cylinder = π × 9 × 6.
Multiply we get ,Volume of cylinder = 54[tex]\pi[/tex] in.³
The formula we use,
→ Volume of cylinder = π × r² × h
It is given that,
→ Height (h) = 6 and radius (r) = 3.
Then we have to,
find the volume of the cylinder,
→ π × r² × h
→ π × 3² × 6
→ π × 9 × 6
→ 54π in.³
Thus, option (c) is the answer.
A cube has an edge of 8cm. Calculate its Volume.
Answers
Answer:
512cm³
Step-by-step explanation:
to get the volume the formula is Base area x height
BA X H
=8x8x8 because all sides of a cube are equal
=512cm³
A golf ball is hit from ground level. Its path is modelled by the relation h(t) = -4.9 t2 + 27.2t , where h is the ball’s height above the ground, in meters, and t is the time, in seconds. Determine the time the ball is in the air.
Answers
A spinner is divided into 6 equal parts. These sections are labeled with a number 1, one section has a 2, one section has a 3, and one section has a 4. If the spinner is spun two times, what is the probability it will land on both 2 sides?
Answers
Answer:
[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.
Step-by-step explanation:
For each trial, there are only two possible outcomes. Either it lands on 2, or it does not. The probability of the spinner landing on two in a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
One of the six sides is 2:
This means that [tex]p = \frac{1}{6}[/tex]
If the spinner is spun two times, what is the probability it will land on both 2 sides?
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{0} = \frac{1}{36} = 0.0278[/tex]
[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.
A small manufacturing company recently instituted Six Sigma training for its employees. Two methods of training were offered: online and traditional classroom. Management was interested in whether the division in which employees worked affected their choice of method. Below is a table summarizing the data.
Sales Quality Operations Total
Traditional 16 10 8 34
Online 35 23 44 102
Total 51 33 52 136
Required:
a. What is the probability that an employee chose online training?
b. What is the probability that an employee is in the Quality division and chose online training?
c. What is the probability that an employee chose online training given that he/she is in the Sales division?
Answers
Answer:
(a) [tex]P(Online\ Training) = 0.750[/tex]
(b) [tex]Pr = 0.169[/tex] --- Quality Division and Online Training
(c) [tex]P(A\ |\ B) = 0.686[/tex] --- Online Training given Sales Division
Step-by-step explanation:
Given
The two-way table
Solving (a): P(Online Training)
The total employee is:
[tex]Total = 136[/tex]
The employees for online training is:
[tex]Online\ Training = 102[/tex]
So, the probability is:
[tex]P(Online\ Training) = \frac{102}{136}[/tex]
[tex]P(Online\ Training) = 0.750[/tex]
Solving (b): P(Quality Division and Online Training)
The number of employees that choose quality Division and online training is 23
So, the probability is:
[tex]Pr = \frac{23}{136}[/tex]
[tex]Pr = 0.169[/tex]
Solving (c): P(Online Training | Sales Division)
This is calculated as:
Let:
[tex]A \to[/tex] Online training
[tex]B \to[/tex] Sales division
So, we have:
[tex]P(A\ |\ B) = \frac{n(A\ n\ B)}{n(B)}[/tex]
From the table:
[tex]n(A\ n\ B) =35[/tex]
[tex]n(B) = 16 + 35 = 51[/tex]
So, the probability is:
[tex]P(A\ |\ B) = \frac{35}{51}[/tex]
[tex]P(A\ |\ B) = 0.686[/tex]
what is the domain of f(x)=3x/x-1
Answers
(−∞,1)∪(1,∞)
Set-Builder Notation: {x|x≠1}
determine a simplified expression
Answers
Answer:
For Task B: [tex]3x^4 - 2x^3[/tex]
Step-by-step explanation:
Given that Volume = l*w*h, we can plug in the values on the diagram, so we get the equation (3x-2)([tex]\frac{1}{2}x[/tex])([tex]2x^2[/tex]) = [tex](\frac{3}{2} x^2 - x)(2x^2) = 3x^4-2x^3[/tex]. Hope this helps!!!
PLEASE HEP ME
PLEASE HELP AND BE CORRECT BEFORE ANSWERING
Answers
9514 1404 393
Answer:
TrueTrueStep-by-step explanation:
The center of dilation (point D) is a point that doesn't move. Any line not through that point will be moved to a parallel location when a dilation factor is applied.
Any line through the center of dilation will still go through the center of dilation. Its slope does not change, so the line will appear to be the same.
AB ║ A'B' — True
AD ≅ A'D' — True
_____
You can see these relationships in the attached figure.
Question 1 of 28
What is the length of the short leg in the 30-60-90 triangle shown below?
30
513
60
A. 525
B. 10
O c. 5
D. 515
Answers
Answer: 5
Step-by-step explanation:
Remember the relationships of the sides of a 30-60-90 triangle. The longer leg is sqrt(3) times the value of the shorter leg. By dividing 5[tex]\sqrt{3\\}[/tex] with [tex]\sqrt{3}[/tex] you get 5 as the length of the shorter leg.
s% of 1/r
PLEASE HELP!
Answers
Answer:
s/(100r)
Step-by-step explanation:
The % symbol is a shorthand way of writing /100, so ...
s% of 1/r = (s/100) × (1/r) = s/(100r)
Answer:
Solution given:
S% of 1/r=S/100*1/r=S/(100r) is a required answer.
Step-by-step explanation:
% means divide by 100.
If x+y=6 and xy =2find x³+y³(please help me fast with explanation also please) T^T
Answers
Answer: x³+y³=180
Step-by-step explain: let's remember the formula x³+y³=(x+y)(x²-xy+y²) and also x³+y³=(x+y)³-3xy(x+y) then [tex]\displaystyle\boldsymbol{ x^3+y^3=\underbrace{(x+y)^3}_{6}-3\underbrace{xy}_{2}\underbrace{(x+y)}_6}=\\\\6^3-3\cdot 2\cdot 6=216-36=180[/tex]
Any help here please
Answers
Answer:
A
Step-by-step explanation:
JUst answered same question
Find: |-8|
о 0
О -1
0 8
О - 8
Answers
Answer:
|-8|
= |-8| = 8
|-8|. |-a = a , a> o
= 8
Can someone be my math teacher ? pls message
Answers
Answer:
which grade do you want to get helped by ?
The store employee works 35 hours per week. Which inequality can be used to find the dollar value, x, of weekly sales that the employee must make to earn more than $400 per week?
Answers
The slope of the line below is 2. Which of the following is the point-slope form
of the line?
Answers
Answer:
y+1 = 2(x-1)
Step-by-step explanation:
Point slope form for a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
We are given the point(1,-1)
y --1 = 2(x-1)
y+1 = 2(x-1)
A ladder is leaning against a building so that the distance from the ground to the top of the latter is 1 foot less than the length of the latter find the length of the latter is the distance from the bottom of the ladder to the building is 7 feet
Answers
Answer:
[tex]25\text{ feet}[/tex]
Step-by-step explanation:
The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.
For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared ([tex]a^2+b^2=c^2[/tex]), where [tex]c[/tex] is the hypotenuse.
Let the length of the ladder be [tex]\ell[/tex] (hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as [tex]\ell -1[/tex].
From the Pythagorean Theorem, we then have:
[tex]7^2+(\ell-1)^2=\ell^2[/tex]
Expand using [tex](a-b)^2=a^2-2ab+b^2[/tex]:
[tex]49+\ell^2-2\ell+1=\ell^2[/tex]
Subtract [tex]\ell[/tex] from both sides and add [tex]2\ell[/tex] to both sides:
[tex]49+1=2\ell[/tex]
Combine like terms:
[tex]50=2\ell, \\2\ell =50[/tex]
Divide both sides by 2:
[tex]\ell=\frac{50}{2}=\boxed{25\text{ feet}}[/tex]
Therefore, the length of the ladder is 25 feet.
f(x) = V2x
g(x) = V18x
Find (f .g)(x). Assume x2 0.
Answers
Answer:
fog(x) is D = 6[tex]\sqrt{x}[/tex]
Step-by-step explanation:
I. square all value, so f(x) is 2x then g(x) is 18x
II. Replace x.value in f(x) with g(x).value = 2(18x)
III. If x is 1, 2(18*1) will be 36; find root, so answer is 6
If x is 2, 2(18*2) will be 72; find root, so answer is 6[tex]\sqrt{2}[/tex]
Hope it help, sorry if I'm done it wrong, but I think it's gonna be the right answer. :)
A random sample of 49 measurements from a population with population standard deviation σ1 = 4 had a sample mean of x1 = 11. An independent random sample of 64 measurements from a second population with population standard deviation σ2 = 5 had a sample mean of x2 = 14. Test the claim that the population means are different. Use level of significance 0.01. What distribution does the sample test statistic follow? Explain.
Answers
Answer:
Reject H0 and conclude that population means are different.
Step-by-step explanation:
H0: μ1 = μ2
H1: μ1 ≠ μ2
x1 = 11 ; σ1 = 4 ; n1 = 49
x2 = 14 ; σ2 = 5 ; n2 = 64
The test statistic :
(x1 - x2) / sqrt[(σ1²/n1 + σ2²/n2)]
Test statistic :
(11 - 14) / sqrt[(4²/49 + 5²/64)]
Test statistic :
-3 / √0.7171556
Test statistic = - 3.542
Using α = 0.01
The critical value Zα/2 ; Z0.01/2 = 2.58
Decison region :
Reject H0 : if Test statistic < Zcritical
Reject H0 : - 3.542 < - 2.58
Question 4 4 pts Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in: 5 years? 10 years? 486 months?
Answers
Answer:
Step-by-step explanation:
5 years
[tex]1500(1+\frac{.06}{12})^{12*5}=2023.275229[/tex]
10 years
[tex]1500(1+\frac{.06}{12})^{10*12}=2729.095101[/tex]
486 months:
[tex]1500(1+\frac{.06}{12})^{486}=16935.47074[/tex]
round those as you please
In sunlight, a vertical yardstick casts a 1 ft shadow at the same time that a nearby tree casts a 15 ft shadow. How tall is the tree? (Make a sketch to help solve the problem. Hint: 3ft equals one yard.)
A) 45 ft
B) 50 ft
C) 44 ft
D) 48 ft
Answers
Answer: A) 45 ft
Step-by-step
The yardstick is 3ft tall since 1 yard = 3ft. It is 3 times as tall as its shadow. The tree has a 15ft long shadow. The tree should also be 3 times as tall as its shadow. The tree is 15*3ft tall, so it is 45ft tall. I attached an image of the diagram I made.
What is a40
a
40
of the arithmetic sequence for which a8=60
a
8
=
60
and a12=48
a
12
=
48
?
Answers
9514 1404 393
Answer:
-36
Step-by-step explanation:
Using the expression for the general term, you can fill in the known values and solve for the parameters of the sequence.
an = a1 +d(n -1)
a8 = a1 + d(8 -1) = 60
a12 = a1 + d(12 -1) = 48
The difference of these equations is ...
(a1 +7d) -(a1 +11d) = (60) -(48)
-4d = 12
d = -3
Substituting into the first equation, we have ...
a1 +7(-3) = 60
a1 = 81 . . . . . . . . . add 21
Then the 40th term is ...
a40 = 81 -3(40 -1) = 81 -117
a40 = -36
The two cones below are similar. What is the value of x?
A. 0.16
B. 0.32
C. 0.4
D. 0.8
Answers
Answer:
.8
Step-by-step explanation:
The ratios have to be the same for the cones to be similar
10 4
----- = ------
2 x
Using cross products
10x = 4*2
10x = 8
Divide by 10
x = 8/10
x = .8
Answer:
Step-by-step explanation:
I am need help and an explanation on how to read these graphs.
Answers
Answer:
i think its b
Step-by-step explanation:
Complete the sentence below.
The expression 52x – 169 is equivalent to 13(
)
Answers
Answer:
13(4x-13)
if you distribute it then you come back with 52x-169.
Answer:
its D 4x- 13
Step-by-step explanation:
i just did the question
a baceball team won 11 on its first 18 games at this rate how many games will the team win in a 162 game season
Answers
Answer:
Step-by-step explanation:
Set up the following proportion. x is the number of games you should win.
11/18 = x / 162
11*162 / 18 = x
x = 99 You likely would be out of the playoffs with a number like this.
expand and simplify √3(√3-1)
Answers
Answer:
[tex]3 - \sqrt{3} [/tex]Step-by-step explanation:
[tex] \sqrt{3} ( \sqrt{3} - 1)[/tex]
[tex] = \sqrt{3} \times \sqrt{3} - \sqrt{3} \times 1[/tex]
[tex] = 3 - \sqrt{3} (ans)[/tex]
Solve for x in this equation: 3/4+|5-x|=13/4
Answers
Find the lcm of the denominator
And then use the lcm to multiple
A researcher considers two methods for collecting data to determine if store-brand laundry detergents work as well as name-brand detergents.
Method 1: The researcher surveys shoppers as they enter a grocery store. The shoppers are asked which type of detergent they use and then rate the cleanliness of their laundry on a scale from 1 to 10 (with 10 being the cleanest). The ratings of the name-brand detergents are compared to the ratings of the store-brand detergent.
Method 2: The researcher creates 10 loads of soiled fabrics and washes 5 of the loads with name-brand detergent and the other 5 with store-brand detergent. Volunteers are asked to assess the cleanliness of the fabrics using a scale from 1 to 10 (with 10 being the cleanest), and the ratings of the name-brand detergents are compared to the ratings of the store-brand detergent.
Which method describes an observational study?
Method 2 is an observational study because volunteers assess the fabrics.
Method 1 is an observational study because many people can be surveyed.
Method 1 is an observational study because no attempt is made to influence results.
Both methods are observational studies because information on both types of detergent can be collected.
Not A.
Answers
Answer:
C. Method 1 is an observational study because no attempt is made to influence results.
Step-by-step explanation:
Based on the descriptions provided: Method 1 is an observational study because no attempt is made to influence the results. Option 3 is the correct answer.
An observational study is a type of study where researchers observe and collect data without actively intervening or manipulating any variables.
Method 1 involves surveying shoppers and asking them about their detergent use and laundry cleanliness ratings. The researcher is merely collecting data without intervening or manipulating any variables. The study relies on the natural behavior of shoppers and their responses.
Method 2, on the other hand, involves actively creating soiled fabrics and washing them with different detergents. This intervention introduces an element of manipulation, making it more of an experimental study than an observational one.
To know more about observational study :
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