Evaluate.
3/4-1/6/2/5
Answers
\( \frac{3}{4} - \frac{\frac{1}{6}}{ \frac{2}{5} } \\ \\ \frac{3}{4} - \frac{1}{6} \times \frac{5}{2} \\ \\ \frac{3}{4} - \frac{5}{12} \\ \\ \frac{3 \times 3 - 5}{12} \\ \\ \frac{9 - 5}{12} \\ \\ \frac{4}{12} \\ \\ \frac{1}{3} .\)
Related Questions
Can someone help me Solve:
-2√3+√75=
Answers
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)the cost of a popsicle at the snack stand is $0.75 let p represent the number of popsicles and c represent total cost use an equation to represent the relationship between the numbers of popsicles bought and the total cost
Answers
Answer:
0.75p=c
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
Answers
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
find the missing coordinates y+7x=1
(-1, )
(4, )
Answers
Answer:
(-1,8)
(4,-27)
Step-by-step explanation:
y+7x=1
Let x = -1 and find y
y+7(-1)=1
y -7 =1
Add 7 to each side
y-7+7 = 1+7
y = 8
(-1,8)
Let x = 4 and find y
y+7(4)=1
y +28 =1
Subtract 28 from each side
y+28-28 = 1-28
y = -27
(4,-27)
A university's freshman class has 3000 students. 21% of those students are majoring
in Engineering. How many students in the freshman class are Engineering majors?
Answers
Answer: 630
Step-by-step explanation:
\(3000 * 21 /100 = 3000 * 0.21 = 630\)
A man gave 5/12 of his money to his son , 3/7 of the remainder to his daughter and the remaining to his wife if his wife gets rs 8700 what is the total amount
Answers
The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.
A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?
The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.
The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'
Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).
Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.
Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200
Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.
The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.
The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Find the X-intercept for this please .
Answers
Answer: I believe both the x and y- intercepts are “(0,0)”
Step-by-step explanation: there is only one intercept and it is at the origin (0,0) making both the x and y - intercepts (0,0) :)
Help please? I’m not too sure what to do?
A student has scores of 66.75, 66, and 72.25 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C?
Answers
Answer:
75
Step-by-step explanation:
Average needed to get grade C = 70
Average = Total Amount / No of Items.
No of items = 4
therefore Total needed = 70 x 4 = 280
current total score = 66.75 + 66 + 72.25 = 205
the fourth test minimum score = 280 - 205 = 75
Answer: i thank it is 75
Step-by-step explanation:
hope i help
a fair die is rolled 100 times.the results are shown below
number:. 1. 2. 3. 4. 5. 6
no of times:. 12. 16. 25. 18. 15. 14
what is the probability of getting
1?
2?
3?
4?
5?
6?
Answers
1.) Probability of getting 1: 0.12 or 12%.
2.) Probability of getting 2: 0.16 or 16%.
3.) Probability of getting 3: 0.25 or 25%.
4.) Probability of getting 4: 0.18 or 18%.
5.) Probability of getting 5: 0.15 or 15%.
6.) Probability of getting 6: 0.14 or 14%.
To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:
Number: 1 2 3 4 5 6
Times: 12 16 25 18 15 14
To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):
Probability of getting 1 = 12 / 100 = 0.12.
Probability of getting 2 = 16 / 100 = 0.16.
Probability of getting 3 = 25 / 100 = 0.25.
Probability of getting 4 = 18 / 100 = 0.18.
Probability of getting 5 = 15 / 100 = 0.15.
Probability of getting 6 = 14 / 100 = 0.14.
Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:
1: 0.12 or 12%,
2: 0.16 or 16%,
3: 0.25 or 25%,
4: 0.18 or 18%,
5: 0.15 or 15%,
6: 0.14 or 14%.
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As a market researcher, you have been hired by a fast-food chain. They want to know what kind of food containers the public prefers (given environmental and recycling concerns). The question is whether the public prefers their hamburgers wrapped in aluminum foil, foam boxes, or paper. Analyze the following data for whether there is a significant difference.
Foam 74
Paper 103
FOIL 123
Calculate the appropriate statistic, identify the critical value, make your decision and conclusion and present the statistical results in correct form.
Answers
The conclusion is there is not a significant difference between the preference for the three food containers.
The appropriate statistic to use in this case is a chi-squared test. This test will help us determine if there is a significant difference between the preference of the three food containers.
The critical value for the chi-squared test with 2 degrees of freedom is 5.991.
The chi-squared statistic is calculated as follows:
(74-103)²/103 + (103-123)²/123 + (123-103)²/103
= 3.9/3.9
= 1.0
The chi-squared statistic (1.0) is less than the critical value (5.991). Therefore, there is not a significant difference between the preference for the three food containers.
The statistical results can be presented in the following form:
Chi-squared statistic = 1.0
Critical value = 5.991
Therefore, the conclusion is there is not a significant difference between the preference for the three food containers.
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11 12 13 14 15 16 17 18 19 20 Given: AB = BC Prove: B is the midpoint of AC. A line contains point A, B, C. A flow chart has 3 boxes that go from top to bottom. The first box is labeled given and contains A B = B C. The second box is labeled definition of congruent segments and contains Line segment A B is-congruent-to Line segment B C. The third box is labeled definition of a midpoint and contains B is the midpoint of Line segment A C. What is the format of this proof? two-column proof one-paragraph proof flowchart proof two-paragraph proof Mark this and return
Answers
A list of assertions and the justifications for each assertion are included in a two-column geometric proof.
What is The Structure of a Proof?Either two columns or a paragraph can be used to write a geometric proof. A two-column proof stated in sentences is all that a paragraph proof is. But since it's simpler to omit stages when writing a paragraph proof, we'll study the two-column technique.A list of assertions and the justifications for each assertion are included in a two-column geometric proof. The reasons why the claims are true are mentioned in the right column, while the statements themselves are listed in the left column. A row in the two-column proof represents each phase of the proof, or each conclusion reached.Make the illustration of the proof-in-use in a figure. Either the figure will be drawn for you already, or you will need to draw it yourself.List the assertions that are made, and then the assertions that must be proven. At this point, the proof has a start and a finish.Based on what you can infer about the figure from the provided details, mark it accordingly. You actually learn how to make the proof at this stage of the proof process, as well as whether or not you can support the assertion that has been stated.Mark any congruent sides, angles, etc. so you can see for yourself what has to be said in the evidence to persuade the reader that you are correct in your conclusion.Without omitting even the simplest, carefully note down each step. The stated statements are frequently among the initial steps (though not always), and the conclusion you want to prove is the last step.To Learn more About geometric proof refer To:
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A ship X sailing with a velocity (21 kmh 052⁰) observes a light fron a lighthuse due North. The bearing of the liglhthouse from the ship 20 minutes later is found to be 312. calcuate correct to thre sigificant figures
i) the orignal distance when the lighthoues is due West of the ship from the time when it is due North of the ship.
ii) the time in minutes, when the lighthouse is due West of the ship from the time when it is due North of the ship.
iii) the distance in km of the ship from the lighthoue when the light.hose is due West of the ship
Answers
i) the original distance when the lighthouse is due West of the ship is 7 km
ii) The time in minutes when the lighthouse is due West of the ship is 21 minutes
iii) The distance in km of the ship from the lighthouse when the lighthouse is due West of the ship is 29.97 km
To solve this problem, we'll use the concepts of relative velocity and trigonometry. Let's break down the problem into three parts:
i) Finding the original distance when the lighthouse is due West of the ship:
The ship's velocity is given as 21 km/h at a bearing of 052°. Since the ship observed the lighthouse due North, we know that the angle between the ship's initial heading and the lighthouse is 90°.
To find the distance, we'll consider the ship's velocity in the North direction only. Using trigonometry, we can determine the distance as follows:
Distance = Velocity * Time = 21 km/h * (20 min / 60 min/h) = 7 km (to three significant figures).
ii) Finding the time in minutes when the lighthouse is due West of the ship:
To find the time, we need to consider the change in angle from 052° to 312°. The difference is 260° (312° - 052°), but we need to convert it to radians for calculations. 260° is equal to 260 * π / 180 radians. The ship's velocity in the West direction can be calculated as:
Velocity in West direction = Velocity * cos(angle) = 21 km/h * cos(260 * π / 180) ≈ -19.98 km/h (negative because it's in the opposite direction).
To find the time, we can use the formula:
Time = Distance / Velocity = 7 km / (19.98 km/h) = 0.35 h = 0.35 * 60 min = 21 minutes (to three significant figures).
iii) Finding the distance in km of the ship from the lighthouse when the lighthouse is due West of the ship:
We can use the formula for relative velocity to find the distance:
Relative Velocity = sqrt((Velocity in North direction)² + (Velocity in West direction)²)
Using the values we calculated earlier, we have:
Relative Velocity = sqrt((21 km/h)² + (-19.98 km/h)²) ≈ 29.97 km/h (to three significant figures).
Therefore, the ship is approximately 29.97 km away from the lighthouse when the lighthouse is due West of the ship.
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need help asap!! struggling a lot. ):
Answers
Answer:
obtuse
Step-by-step explanation:
the 100 degree is a giveaway.
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one
baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has
no effect, so the probability of a girl is 0.5. Assume that the groups consist of 45 couples. Complete parts (a) through (c)
below.
Answers
a) The value of the mean is μ = 22.5
The value of the standard deviation is σ = 3.5
b) The Value of 15 girls or fewer is significantly low.
The value of 30 girls or more is significantly high.
c) The result 36 is significantly high because 36 is greater than 30 girls. A result of 36 girls is not necessarily definitive proof of the method's effectiveness.
What is the standard deviation?The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.
According to the given informationa) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.
Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.
The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:
μ = np = 45 x 0.5 = 22.5
Therefore, we expect to see around 22-23 girls in a group of 45 couples.
The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:
σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535
Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.
b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.
Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.
Significantly high:
Mean + 2σ = 22.5 + 2(3.535) = 29.57
Significantly low:
Mean - 2σ = 22.5 - 2(3.535) = 15.43
c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.
Mean + 2σ = 22.5 + 2(3.535) = 29.57
Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.
This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.
It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.
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A brand new video game system sells for $340. If the sales tax is 6.98%, how much will the new video game
system cost? Round your answer to the nearest cent.
Answers
The sales tax is $23.73
Steps:
Sales tax is calculated by multiplying the purchase price by the sales tax rate to get the amount of sales tax due. The sales tax added to the original purchase price produces the total cost of the purchase.
So 340 • 6.89%
340• .0698= 23.732
If it’s a percentage you move the decimal two places to the left
340 + 23.73 = 363.73
Hope this helps
North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Answers
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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HELPPP MEEE PLEASEE WITH THIS QUESTION
Answers
The values of x and y are given as follows:
x = 18.\(y = 6\sqrt{10}\)What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The bases for this problem are given as follows:
2 and x.
The altitude is given as follows:
6.
Hence the length x is given as follows:
2x = 6²
2x = 36
x = 18.
Applying the Pythagorean Theorem, the length y is given as follows:
y² = 18² + 6²
y² = 360
\(y = \sqrt{36 \times 10}\)
\(y = 6\sqrt{10}\)
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There are 1,001 pennies lined up on a table.
Starting at one end of the line, I replace every
third coin with a dime. How much money on
the table?
Answers
Answer: 3998 cents, or $39.98
Step-by-step explanation: Hope it helps!
Isabelle was curious if sample maximum was an unbiased estimator of population maximum. She started
with a large normally distributed population of test scores whose maximum was 99 points.
She then took a random sample of 6 tests and calculated the maximum of the sample. She replaced those
tests and repeated this process for a total of 40 trials. Her results are summarized in the dotplot below,
where each dot represents the maximum score from a sample of 6 tests.
HHH
HU
75
80
85
90
95
100
Sample maximum
Answers
Answer: sample maximum appears to be biased estimator since it consistently underestimated the population maximum
Answer: Sample maximum appears to be biased estimator since it consistently underestimated the population maximum.
Step-by-step explanation:
13. (x + 5) +(4.x - 7)
+
Answers
Answer:
\(5x - 2\)
Step-by-step explanation:
\((x + 5) + (4x - 7)\)
\(x + 5 + (4x - 7)\)
\(x + 5 + 4x - 7\)
\(5x + 5 - 7\)
\(5x - 2\)
Question 2: 11 ptsThe bumper car ride at the state fair has 2 red cars, 2 green cars, and 4 blue cars. Devon is first in line for theride and is assigned a car at random. Akra is next in line and is randomly assigned a car. What is the probabilitythat both Devon and Akira will drive a red bumper car? Express your answer as a percent. If necessary, roundyour answer to the nearest tentin.O 25%O 3.6%O 6.3%O 96.4%
Answers
From the problem, we have 2 red cars, 2 green cars and 4 blue cars.
A total of 8 cars.
The probability is the event happening divided by the total events.
Devon and Akra need to drive a red bumber car, so the event happening must be red.
The probability that Devon will drive a red bumper car is 2/8
Now we have 7 cars left with 1 red car
The probability that Akra will drive a red bumber car is 1/7
Multiply the probabilites :
\(\frac{2}{8}\times\frac{1}{7}=\frac{2}{56}=0.036\)In percentage :
0.036 x 100 = 3.6%
The answer is 3.6%
A sculpture is in the shape of a square pyramid. The sculpture has a height of 36 feet and a volume of 19,200 cubic feet. Find the side length of the square base
Answers
Answer:
40ft
Step-by-step explanation:
The volume of a square pyramid is given by:
\(V=\frac{l^2h}{3}\)
where V is the volume, l is the length of the square base, and h is the height.
Since we need to find the length, we solve for \(l\) in the last equation:
\(l^2h=3V\\\\l^2=\frac{3V}{h} \\\\l=\sqrt{\frac{3V}{h} }\)
and now, we substitute the known values:
\(V=19,200ft^3\\h=36ft\)
and we get the following:
\(l=\sqrt{\frac{3(19,200ft^3)}{36ft} }\\ \\l=40ft\)
the length of the square base is 40ft
PLEASE HELP WORTH 25 POINTS
Model with Mathematics The outline of a park is
shown in the diagram. Each square on the grid represents
a square yard. Use shapes to model the area of the park.
Explain your reasoning and justify your calculations.
Answers
Answer:
We are trying to calculate the area of the park by modeling it with shapes. To start, the larger rectangle (green) toward the top is the easiest to calculate. Its length is 8 yards and its width is 4 yards, so the area would be 8 x 4 = 32 yards^2.
Next, the 3 rectangles at the bottom (white). The one in the middle has a length of 4 yards and a width of 3 yards, so its area is 4 x 3 = 12 yards^2. The two rectangles to either side are the same size, so together their area will be 2 x 4 x 3 = 24 yards^2.
Now that we have modeled the park with 3 shapes, we need to add the areas together to get the total area. So, we have 32 + 12 + 24 = 68 yards^2. The total area of the park is 68 yards^2.
Step-by-step explanation:
The area of the park is about :
95 + 27 = 122 yards
We have the following information available from the question is:
The outline of a park is shown in the diagram. Each square on the grid represents a square yard. Use shapes to model the area of the park.
Now, According to the question:
Each square on the grid represents a square yard, and as we can see from the figure that the complete square is about 95, the incomplete grid is about 27,
So the area of the park is about :
95 + 27 = 122 yards
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The table lists selected values of Sam's walking speed, in kilometers per hour (km/h), and his corresponding
pulse, in beats per minute (bpm). There is a linear relationship between Sam's speed, x, and his pulse, f(x).
Which of the following equations describes f(x)?
Answers
9514 1404 393
Answer:
(C) f(x) = 5x +57
Step-by-step explanation:
Heart rate increases as speed increases, so only equations with a positive x-coefficient are of interest. It is pretty easy to see that ...
f(x) = x+57
doesn't give ...
f(4) = 77
However, the other reasonable choice is ...
f(x) = 5x +57
which does give f(4) = 77.
Find the equation to the line
Answers
The equation of the line is y = 2/3x + 1
How to determine the equation of the line?The graph represents the given parameter
From the graph, we have the following points that can be used in our computation:
(x, y) = (0, 1) and (3, 3)
The equation of the line is then calculated using the following equation
y = (y₂ - y₁)/(x₂ - x₁) * (x - x₁) + y₁
Where
(x, y) = (0, 1) and (3, 3)
Substitute the known values in the above equation, so, we have the following representation
y = (3 - 1)/(3 - 0) * (x - 0) + 1
Evaluate
y = 2/3 (x - 0) + 1
So, we have
y = 2/3x + 1
Hence, the line equation is y = 2/3x + 1
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g find the dimensions of the box with volume 4096 cm3 that has minimal surface area. (let x, y, and z be the dimensions of the box.)
Answers
The dimensions of a box with the minimal surface area are now known: X, Y, and Z are all 16 cm in length.
Define minimization of a function?We are aware that we are being asked to determine the minimal value for a function whenever we are approached for a minimum value. To accomplish this, we need to identify the function that needs to be reduced (in this case, the surface area) then obtain its first derivative. The values which minimize the function are those obtained by setting the very first derivative to zero.For the stated question-
The box's volume as well as the surface area formula are the first things we write down after receiving them:
Volume = 4096 xyz
Surface area = 2(xy, xz, and yz)
Surface area = x + y + 2z.
To make the problem simpler, we can rephrase a single variables on the basis of the remaining variables:
z = 4096/xy
This surface area function is now expressed in terms of x and y.
f(x,y, 4096/xy) = 2xy + 2(x + y)(4096/xy)
= 2xy + 8192/y + 8192/x
The first derivative of each variable is required in order to reduce a function. Now, by treating other variable as a constant, we can calculate the partial of the function's derivative for x and y:
df/dx = 2y - 8192/x²
df/dy = 2x - 8192/y²
We set these initial derivatives to zero in attempt to minimize a function:
df/dx = 0 = 2y - 8192/x²
df/dy = 0 = 2x - 8192/y²
yx² = 4096
y²x = 4096
To determine that x = y, we then set both equations equal to one another.
yx² = y²x
y = x
Using this knowledge, we solve for y, that is also equal to x, by plugging y into the preceding equation:
yy² = 4096
y = 16
x = y
x = 16
X and Y are both equal to 16. With this knowledge, we can enter the values into the z equation to determine:
z = 4096/xy
z = 4096/ 16² = 16
Thus, the dimensions of box with the smallest possible surface area are now known:
X, Y, and Z are all 16 cm in length.
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find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.) Parametric Equations Point x = 6 cos θ, y = 6 sin θ θ = π/4
find:
dy/dx=
d^2y/dx^2 =
slope
concavity:
Answers
The value of dy/dx is -cotθ, d^2y/dx^2 is -6cosec³θ, slope is -cotθ, concavity is -6cosec³θ.
Parametric Equations Point x = 6cosθ, y = 6sinθ and θ = π/4
We have to determine the value of dy/dx.
We can define dy/dx as;
dy/dx = (dy/dθ)/(dx/dθ)
We first define dy/dθ and dx/dθ.
x = 6cosθ y = 6sinθ
dx/dθ = -6sinθ dy/dθ = 6cosθ
Now put the value
dy/dx = 6cosθ/(-6sinθ)
dy/dx = -cotθ
Now we have to determine the value of d²y/dx².
d²y/dx² = d/dx(dy/dx)
We can write it as
d²y/dx² = \(\frac{\frac{d}{d\theta}(\frac{dy}{dx})}{dx/d\theta}\)
We first determine the value of d/dθ(dy/dx)
d/dθ(dy/dx) = d/dθ(-cotθ)
d/dθ(dy/dx) = cosec²θ
Now put the value
d²y/dx² = cosec²θ/(-6sinθ)
d²y/dx² = -6cosec³θ
Now we have to determine the slope.
Slope = dy/dx
Slope = -cotθ
Now we have to determine the concavity.
Concavity = d²y/dx²
Concavity = -6cosec³θ
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Write in radical form
Answers
Step-by-step explanation:
I'll do one for you.
Using the formula for turning exponents into radicals
\((b) {}^{ \frac{x}{y} } = \sqrt[y]{b} {}^{x} \)
where b is the base
This means that the numerator in the exponet form becomes the power under the radical in radical form and
the denominator in exponet form becomes the nth root in radical form.
For example 5,
\((5) {}^{ \frac{ - 3}{5} } \)
That becomes in radical form
\( \sqrt[5]{5 {}^{ - 3} } \)
or if you want to write it using positive exponents
\( \frac{1}{ \sqrt[5]{5 {}^{3} } } \)
I'll do one more for you
For example 6,
\(11 {}^{ \frac{4}{3} } \)
That becomes in radical form
\( \sqrt[3]{11 {}^{4} } \)
A study was completed in Georgia. In northern Georgia, the study involved 3,000 patients; 84% of them experienced flulike symptoms during the month of December. The study had a margin of error of 1.7% What does that mean for the study?
Answers
What is the confidence interval?
A confidence interval is the range of a population parameter . It estimates the range for a set of values for a certain proportion of times.
Confidence interval = mean ± margin of error
(84 - 1.7) - (84 + 1.7)
82.3 - 85.7%
The two solids are similar, and the ratio between the lengths of their edges is
2:9. What is the ratio of their surface areas?
36 2
A. 64:729
B. 4:81
C. 4:18
D. 8:36
Answers
Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 2268 : 112
How to calculate the surface area of a prism?A prism is a solid shape with 6 faces
The formula for calculating the total surface area is expressed as:
TSA = 2(lw+wh+lh)
l is the lengthw is the widthh is the heightFor the Red prism
Ar = 2(162 +324 + 648)
Ar = 2268 square units
For the blue prism
Ab = 2(8 + 16 + 32)
Ab = 112 square units
Take the ratio of the surface area
Ratio = 2268 : 112
Hence the ratio of their surface area is 2268 : 112
Learn more on surface area here: https://brainly.com/question/76387
Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 4:81.
How to calculate the surface area of a prism?
A prism is a solid shape with 6 faces
The formula for calculating the total surface area is expressed as:
TSA = 2(LW+WH+LH)
L is the lengthW is the widthH is the heightFor the Red prism
Ar = 2(648 + 162 + 324)Ar = 1,782 square unitsFor the blue prism
Ab = 2(32 + 8 + 16)Ab = 88 square unitsTake the ratio of the surface area
Ratio = 4:81
Hence the ratio of their surface area is 4:81
Learn more on the surface area here: brainly.com/question/76387