\(\frac{2}{3}\)X×\(\frac{4}{5}\)X=
Answers
\(\cfrac{2}{3}x\cdot \cfrac{4}{5}x\implies \cfrac{2x}{3}\cdot \cfrac{4x}{5}\implies \cfrac{8x^2}{15}\)
Related Questions
you draw your sample to make sure measure of interest is neither overestimated nor underestimated. you are concerned by which factor influencing sample size?
Answers
The factors influencing sample size include the desired level of confidence, the higher desired level of confidence, the variability of the population, the size of the effect being measured, and the level of precision desired.
The desired level of confidence determines the sample size needed to achieve the desired level of confidence. The higher the desired level of confidence, the larger the sample size needs to be. The variability of the population is also a factor that influences sample size.
If the population is highly variable, a larger sample size is needed to achieve the desired level of confidence. the size of the effect being measured also affects sample size.if the effect is small, a larger sample size is needed to measure it accurately. Finally, the level of precision desired also affects the sample size.
The higher the level of precision desired, the larger the sample size needs to be. When drawing a sample to make sure the measure of interest is neither overestimated nor underestimated, all of the mentioned factors need to be taken into consideration. The sample size should be large enough to accurately measure the effect, given the desired level of confidence and the level of precision desired.
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Mrs. Rushdan buys 4 bananas and 6 apples. What is the ratios for
bananas to apples?
Answers
Answer:
2;3, that is the ratio =)
Step-by-step explanation:
Answer:The answer would be 4 to 6 or 4:6
Other things being equal, larger automobile engines are less fuel efficient. You are planning an experiment to study the effect of engine size (in liters) on the fuel efficiency (in mpg) of sport utility vehicles. In this study
a. gas mileage is a response variable, and you expect to find a negative association.
b .gas mileage is a response variable, and you expect to find a positive association.
c. gas mileage is an explanatory variable, and you expect to find a strong negative association.
d. gas mileage is an explanatory variable, and you expect to find a strong positive association.
e. gas mileage is an explanatory variable, and you expect to find very little association.
Answers
The correct answer is (a) gas mileage is a response variable, and you expect to find a negative association.
The reason for this is that other things being equal, larger automobile engines require more fuel to operate, which means they are less fuel efficient. Therefore, as engine size (in liters) increases, we would expect fuel efficiency (in mpg) to decrease.
To test this hypothesis, we would need to gather data on the engine size and fuel efficiency of a sample of sport utility vehicles. We could then use regression analysis to determine the strength and direction of the association between engine size and fuel efficiency. If our hypothesis is correct, we would expect to see a negative coefficient for engine size in our regression model, indicating that larger engine sizes are indeed associated with lower fuel efficiency.
In summary, when studying the effect of engine size on fuel efficiency, gas mileage is the response variable and we expect to find a negative association between engine size and fuel efficiency.
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Calculate the directional derivative of g(x, y, z) = x In (y + 2) in the direction v = 51 - 4j + 4k at the point P = (4.0,e). Remember to use a unit vector in directional derivative computation. (Use symbolic notation and fractions where needed.)
Dᵥg(4,e,e) = ___
Answers
The directional derivative of g in the direction of v at P is (5/√(51)) In(e+2).
To find the directional derivative of g(x, y, z) in the direction of v at the point P, we need to compute the dot product of the gradient of g at P with a unit vector in the direction of v.
First, let's find the gradient of g
∇g = (∂g/∂x, ∂g/∂y, ∂g/∂z)
∂g/∂x = In(y+2)
∂g/∂y = x/(y+2)
∂g/∂z = 0
Therefore, ∇g = (In(y+2), x/(y+2), 0).
At the point P = (4, e), we have y+2=e+2, so y=e.
So, ∇g = (In(e+2), 4/e, 0).
Next, we need to find a unit vector in the direction of v. To do this, we first calculate the magnitude of v
|v| = √((5)^2 + (-4)^2 + 4^2) = √(51)
Then, we can find a unit vector in the direction of v by dividing v by its magnitude
u = v/|v| = (5/√(51))i - (4/√(51))j + (4/√(51))k
Now we can calculate the directional derivative of g in the direction of v at P
D_v g(P) = ∇g(P) · u
= (In(e+2), 4/e, 0) · (5/√(51), -4/√(51), 4/√(51))
= (5/√(51)) In(e+2) - (16/√(51)) + (16/√(51))
= (5/√(51)) In(e+2)
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What is the number of cycles of y=9cos(θ/4+3π/2)+4 between 0 and 2π?
Answers
Answer: Choice C) 1/4
===================================================
Work Shown:
Let's rearrange terms a bit to say the following:
\(y = 9\cos\left(\frac{\theta}{4}+\frac{3\pi}{2}\right)+4\\\\y = 9\cos\left(\frac{1}{4}\theta+\frac{3\pi}{2}\right)+4\\\\y = 9\cos\left(\frac{1}{4}\left(\theta+6\pi\right)\right)+4\\\\y = 9\cos\left(\frac{1}{4}\left(\theta-(-6\pi)\right)\right)+4\\\\\)
The last equation is in the form \(y = A\cos\left(B\left(\theta-C\right)\right)+D\\\\\)
where,
|A| = amplitudeB handles the period. Specifically T = 2pi/B, where T is the periodC handles the phase shift, aka horizontal shiftingD determines the midline and the vertical shiftingWe only need to worry about the value of B.
In this case, B = 1/4
So,
\(T = \frac{2\pi}{B}\\\\T = 2\pi \div B\\\\T = 2\pi \div \frac{1}{4}\\\\T = 2\pi \times \frac{4}{1}\\\\T = 8\pi\\\\\)
The period is 8pi. Every 8pi units, a full cycle is completed.
However, we're not going from 0 to 8pi, but instead from 0 to 2pi.
The given interval is 2pi units wide. This is (2pi)/(8pi) = 1/4 of a full cycle. This is why choice C is the answer.
9. The value of a book is $258 and decreases at a rate of 8% per year. Find the value of the book after 11 years.
2 S5698
h $159. 05
c. $101. 38
d. S103. 11
Answers
The value of the book after 11 years is $101.38. Therefore, the correct option is C.
Find the value of the book after 11 years with an initial value of $258 and a decrease rate of 8% per year as follows.
1. Convert the percentage decrease to a decimal by dividing it by 100:
8% / 100 = 0.08
2. Subtract the decimal from 1 to represent the remaining value each year:
1 - 0.08 = 0.92
3. Raise the remaining value (0.92) to the power of the number of years (11):
0.92^11 ≈ 0.39197
4. Multiply the initial value of the book ($258) by the calculated remaining value (0.39197):
$258 × 0.39197 ≈ $101.07
Therefore, after 11 years, the value of the book is approximately $101.07, which is closest to option C, $101.38.
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Can someone help me on this please.
Answers
cosA/1+sinA=(cotA/2-1)/(cotA/2+1)
Answers
Answer:
\(\frac{1+sinA}{cosA}=\frac{\frac{cotA}{2}-1 }{\frac{cotA}{2}+1 } \\\\<=>(1+sinA)(\frac{cotA}{2}+1)=(\frac{cotA}{2}-1)cosA\\\\<=>\frac{cotA}{2}+\frac{cosA}{2}+1+sinA=\frac{cosA.cotA}{2}-cosA\\\\\)
=> 2 sides cant be equal
Step-by-step explanation:
O Caden is paid 6.5% commission on his
sales or a salary of $185, whichever is
higher. Find his earnings if his sales are
$3.790.
Answers
Answer:
Do you have a picture or anything to show the problem? I am having a hard time understanding what you have wrote.
Step-by-step explanation:
. Which equation represents a parabola opening to the right with a vertex at the origin and a focus at (4, 0)?
Answers
The equation y^2 = 16x represents a parabola that opens to the right with a vertex at the origin and a focus at (4,0).The general equation for a parabola with a horizontal axis of symmetry and a vertex at the origin is (y-k)^2 = 4p(x-h), where the focus is (h+p, k) and the directrix is x = h-p.
In this case, the vertex is at the origin, which means h=0 and k=0. The focus is at (4,0), which means h+p=4 and k=0. Solving for p, we get p=4-h=4-0=4.
Substituting these values into the equation gives us (y-0)^2 = 4(4)(x-0), which simplifies to y^2 = 16x. Therefore, the equation that represents a parabola opening to the right with a vertex at the origin and a focus at (4,0) is y^2 = 16x.
The vertex is the lowest or highest point on the parabola and in this case, the vertex is at the origin. The focus is a fixed point inside the parabola that the parabolic shape is centered around. By knowing the vertex and focus, we can determine the shape and orientation of the parabola and write its equation. Therefore, the equation y^2 = 16x represents a parabola that opens to the right with a vertex at the origin and a focus at (4,0).
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How do you find the number of complex roots in a polynomial?
Answers
a
+
i
b
is a root then a−ib
a
−
i
b
is also a root. Since degree of polynomial is five therefore it has at least 1 real root. Thus number of complex root(s) (which are not real) is either 0, 2 or 4.
A bag of tiles contains 6 green 4 yellow and 5 blue tiles. If one tile is pulled at random what is the probability of NOT choosing a green tile?
Answers
what is £120 by 40% Decreased
Answers
Explanation:
Decrease: (1-40%)
120 x (1-40%)
= 120 x 60/100
= 120 x 3/5
= 360/5
= £72
Answer:
£72
Step-by-step explanation:
100% - 40 = 60%
60/100 = 0.6
0.6 * £120 = £72
40/100 = 0.4
0.4 * £120 = £48
To check:
£72 + £48 = £120
Hope that helps!
Plz help with number 18 thx
Answers
Answer:
a
Step-by-step explanation:
Consider the following function. f(x) (x + 5)2/3 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.)
Answers
(a) The critical number of f is x = -.(b) f(x) is decreasing on the interval (-∞, -5) and increasing on the interval (-5, ∞). (c) There is a relative minimum at x = -5.
To find the critical numbers of the function f(x) = (x + 5)^(2/3), we need to find the values of x where the derivative of f(x) is either zero or undefined.
(a) Finding the derivative of f(x):
\(f'(x) = (2/3)(x + 5)^(-1/3)\)
Setting f'(x) = 0 and solving for x:
\((2/3)(x + 5)^(-1/3) = 0\)
x + 5 = 0
x = -5
The critical number of f is x = -5.
(b) To determine the intervals where the function is increasing or decreasing, we can use the first derivative test. We need to check the sign of the derivative in different intervals.
Consider the intervals:(-∞, -5) (-5, ∞)
In the interval (-∞, -5):
Choose a test point, x = -6
\(f'(-6) = (2/3)(-6 + 5)^(-1/3) = (2/3)(-1)^(-1/3) = 2/3 < 0\)
Therefore, f(x) is decreasing on the interval (-∞, -5).
In the interval (-5, ∞):
Choose a test point, x = 0
\(f'(0) = (2/3)(0 + 5)^(-1/3) = (2/3)(5)^(1/3) > 0\)
Therefore, f(x) is increasing on the interval (-5, ∞).
(c) The first derivative test is used to identify the relative extrema. Since f(x) is decreasing on the interval (-∞, -5) and increasing on the interval (-5, ∞), there is a relative minimum at x = -5.
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What is the median for the following data set? 5,7,9,11,13,13
A. 10
B. 8
C. 9
D. 11
Answers
I Will give out brainliest help ASAP
fx=2x2+9
Find f(5)
Explain the process to solve this question:
Answers
Step-by-step explanation:
f(x) = 2x² + 9
f(5) = 2(5)² + 9
= 2(25) + 9
= 50 + 9
= 59
find the rate of change for the linear function given in the table
Answers
Answer:
.
Step-by-step explanation:
..
But if it helps here Is the slope formula
(X1, Y1). (X2, Y2)
Y2-Y1
———-
X2-X1
Hope this helped ;)
aya has 14 2/5 feet of chain. She wants to make pieces foot long math. How many can she make? b Solve the problem using decimals
Answers
Aya can make 14 mats of 1 foot long.
What is division?Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"
Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.
Let can make x mats out of the given chain, since each mat is 1 foot long, so,
1×x = 14\(\frac{2}{5}\)
x = 72/5
x = 14.4
x ≈ 14
Hence, She can make 14 mats out of the given chain.
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100 ÷2 [1500 ÷5 {6 + (21 + 7 - 24)}] please solve this step by step
Answers
Step-by-step explanation:
100 / 2 (1500/5 (6 + (21 + 7 - 24)))
= 100 / 2 (1500/5 (6 + (28 - 24)))
= 100 / 2 (1500/5 (6 + (4)))
= 100 / 2 (1500/5 (10))
= 100 / 2 (300 (10))
= 100 / 2 (3000)
= 50 (3000)
= 150000
Rule: BODMAS (Brackets first so if there's bracket in bracket solve the bracket in the brackets first)
if left + - x /, solve x and / first from left to right then when there's + - left solve everything from left to right
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
What is the result of the math formula: =2*10+4^2
Answers
Answer:
36
Step-by-step explanation:
2(10)+4^2
20+4^2
20+16
36
Answer: The result of the math formula =2*10+4^2 is 28.
To calculate this formula, you first need to perform the exponentiation operation of 4^2, which is 16. Then, you multiply 2 by 10, which gives you 20. Finally, you add 20 to 16, which gives you the final answer of 28.
A railroad car container can hold 42,000 pounds. Mr. Evans wants to ship 90 ovens and some freezers in the same container. If each freezer weighs 600 pounds, how many freezers could be shipped in the container? Explain. (each oven weighs 200 pounds)
Answers
Answer:
THe number of freezers that can be shipped along with 50 ovens is 40
Step-by-step explanation:
total weight of ovens being shipped is 18000 lb. and in order to find the excess weight we have to subtract the ovens weight and the total carrier weight.
equation is:
42,000 - 18000= 24000 lbs.
you then divide the left over pounds by the weight of the freezers to get the total amount of freezers that can be put into a railcar.
24000/600=40
So 40 freezers and 90 ovens can fit within one railcar.
Find the equation of the line that is perpendicular to the line y = 2/3 x + 3 and goes through the point (0, 8).
Answers
Answer:
-3/2x + 8
Step-by-step explanation:
To find the slope of the perpendicular line, you take the negative reciprocal first.
2/3 -> -3/2
So far, we have y = -3/2 x + b. (since we use mx + b)
Since you asked for the line to go through (0, 8), we would usually sub in values like below, but since 8 is the y-intercept since x = 0 of the point, and we need the y-intercept, put 8 as the y-intercept.
y = -3/2 x + b
8 = -3/2(0) + b
8 = 0 + b
b = 8
So the equation that passes (0, 8) and is perpendicular to y = 2/3 x + 3 is
-3/2x + 8
Your welcome!
Kayden Kohl
8th Grade
The unit cell of an oxide of uranium consists of cubic closest-packed uranium ions with oxide ions in all the ral holes. What is the formula of the oxide?
Answers
The formula for uranium oxide is UO2. This means that there are two oxygen ions attached to one uranium atom.
The unit cell consists of one uranium atom surrounded by 8 oxygen ions. This means that the uranium atom is in a cubic structure and the oxygen ions are located in the 8 holes of the cube. This is known as a body-centered cubic (BCC) structure. The general formula for a uranium oxide is UO2, which means that there are two oxygen ions attached to each uranium atom.
For example, if we consider a unit cell of uranium oxide with a cubic crystal structure, the formula would be UO2. This means that there is a uranium atom in the center surrounded by two oxygen atoms at each of the six corners of the cube. These atoms are covalently bonded to the uranium atoms to form the unit cell structure.
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How many cups are in 1 liter? Which conversions show a path to the solution? Check all that apply. cups Right-arrow liters Right-arrow quarts liters Right-arrow quarts Right-arrow cups cups Right-arrow gallons Right-arrow liters liters Right-arrow gallons Right-arrow cups
Answers
Answer:
I cant answer everything but I know that there are 8 cups in a liter
Step-by-step explanation:
Answer:
B,D
Step-by-step explanation:
A rectangle has a perimeter represented by the expression 4x−8. Which expression also represents this perimeter? 4(x-8), 2(2x-8), 2(2x-4), 4(2x-4)
Answers
The perimeter expression of a rectangle has a perimeter represented by the expression 4x−8 is 2(2x - 4)
How to determine the perimeter expressionFrom the question, we have the following parameters that can be used in our computation:
Perimeter = 4x - 8
Factor out 2 from the expression
So, we have the following representation
Perimeter = 2 * 2x - 2 * 4
So, we have
Perimeter = 2(2x - 4)
Hence, the perimeter is 2(2x - 4)
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We want to use the Alternating Series Test to determine if the series: ∑ k=1
[infinity]
(−1) k+1
k 3
+7
k 2
converges or diverges. We can conclude that: The Alternating Series Test does not apply because the absolute value of the terms do not approach 0 , and the series diverges for the same reason. The Alternating Series Test does not apply because the absolute value of the terms are not decreasing, but the series does converge. The series converges by the Alternating Series Test. The series diverges by the Alternating Series Test. The Alternating Series Test does not apply because the terms of the series do not alternate.
Answers
The correct option is:The series diverges by the Alternating Series Test.
To determine whether the given series ∑(−1)k+1 (k^3+7/k^2) converges or diverges, we will use the alternating series test.
Alternating Series Test: The alternating series test, also known as Leibniz's test, is a test that determines whether a series of alternating terms converges.
This test applies only to alternating series whose terms decrease in absolute value (that is, |a[n+1]| ≤ |a[n]| for all n) and that converge to zero.
An alternating series of the form∑(−1)k+1 a[k], where a[k]>0 for all k and a[k+1]≤a[k] for all k, is said to be convergent.
The terms of the given series are not decreasing and the series does not converge to 0, so we cannot apply the alternating series test.
We can infer from this that the series diverges, which is option D.
Therefore, the correct option is:The series diverges by the Alternating Series Test.
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Help me please!!!!!!!!!!!!!!!!!!!
Answers
Answer:
whats the question tho
Step-by-step explanation:
What does 'b" represent in y=mx+b
Answers
Answer:
its a variable it stands for a number that you have to figure out yourself
Step-by-step explanation:
Answer:
b is the y-intercept
Step-by-step explanation:
In case you dont know what the y-intercept is.
The y-intercept of this line is the value of y at the point where the line crosses the y-axis.
The following data show the frequency of rainy days in a year less than 0.01 inch 165 days 0.01 -1 inch 90 days 1.01 - 5 inches 60 days 5.01 -10 inches 40 days more than 10 inches 10 days Find the mode.
Answers
The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.
From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"
Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.
In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.
Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.
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