The surface whose equation in cylindrical coordinates is r(cos(θ) - 4) = 0.
We are given that;
Equation= x - 4r
Now,
Cylindrical coordinates are a way of describing the location of a point in three-dimensional space using a radius, an angle, and a height1.
The equation x - 4r means that the x-coordinate of any point on the surface is equal to four times its radial distance from the z-axis.
This implies that the surface is a vertical plane or half-plane that passes through the origin and is perpendicular to the yz-plane2.
To see this, we can convert the equation to Cartesian coordinates by using,
x = rcos(θ)
y = rsin(θ),
where θ is the angle measured from the positive x-axis:
x - 4r = 0
rcos(θ) - 4r = 0
r(cos(θ) - 4) = 0
This equation is satisfied when either r = 0 or cos(θ) - 4 = 0.
since cos(θ) can never be equal to 4. Therefore, the surface consists of all points that have x = 0 and any values of y and z. This is a vertical plane or half-plane that contains the z-axis and is parallel to the yz-plane
Therefore, by the given equation answer will be r(cos(θ) - 4) = 0.
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Find the distance between -12 and 25
Answer:
37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
You can use absolute value to solve this. l-12l+l25l=12+25=37
Absolute value is the distance from 0.
Please help thank you
Answer:
<BCE=76
Step-by-step explanation:
<BCD-<ECD=<BCE
147-71=76
Find the inverse of
-2
4
5
-10
if it exists.
Pls help!!
Answer:
Undefined
Step-by-step explanation:
-34, -21, -8.5 Complete the recursively defined function to describe this sequence.
The recursive definition of the arithmetic sequence -34, -21, -8 is:
f(1) = -34.f(n + 1) = f(n) + 13.What is an arithmetic sequence?It is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The nth term of an arithmetic sequence is given by the rule presented as follows:
\(a_n = a_1 + (n - 1)d\)
In which \(a_1\) is the first term of the sequence.
An arithmetic sequence can also be defined recursively, as follows:
\(f(1) = a_1\)f(n + 1) = f(n) + d.In this problem, the sequence is given as follows:
-34, -21, -8.
Hence the first term and the common ratio are given as follows:
First term: -34.Common ratio: 13, as each term is the previous term added to 13.Hence the recursive definition of the sequence is:
f(1) = -34.f(n + 1) = f(n) + 13.More can be learned about arithmetic sequences at https://brainly.com/question/6561461
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For a two-sample hypothesis which tests for differences in population parameters (1) and (2), a two-tailed test seeks evidence that:
A two-tailed test seeks evidence that the population parameter for sample (1) is either greater than or less than the population parameter for sample (2).
For a two-sample hypothesis which tests for differences in population parameters (1) and (2), a two-tailed test seeks evidence that there is a significant difference between the means of the two populations, regardless of the direction of the difference.
In other words, the null hypothesis is that there is no difference between the two population means, and the alternative hypothesis is that there is a difference between them, either in the positive or negative direction.
The two-tailed test is used when we do not have any prior knowledge about the direction of the difference and want to be able to detect any significant difference, whether it is positive or negative.
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fred has 15000 in his savings account with an interest rate of 1.8%. assuming he doesn't add or subtract from this amount, find the estimated account balance after 22 years
Answer:
A = $20,940
Step-by-step explanation:
Interest = Principal x Rate x Time
I = prt
I = 15000(.018)(22)
I = 5940
Interest = $5,940
Total Amount = Principal + Interest
A = P + I
A = 15000 + 5940
A = 20940
10 to the 3d power + 10 to the 2nd power + 10 to the 1st power
Answer: 1110
Step-by-step explanation:
Answer:
1,110
Step-by-step explanation:
1. Multiply to the powers(?)
10 x 10 x 10 = 1000
10 x 10 = 100
10 = 10
2. Add
1000 + 100 + 10 = 1110
Are zeros at the end of a number significant if the number contains a decimal point?
The zeros at the end of a number can be significant if it contains decimal point only if the digit next to or at the end of the number (of decimal point) is a significant number.
Significant numbers of a given number are those digits that can convey the meaning of the number or what it stands for (measures as) according to its accuracy.
All non-zero numbers are significant numbers irrespective of the fact where they are positioned, that is they can be positioned before or after a decimal (also before or after a zero).
All zeros are not significant numbers and whetehr they are to be called significant numbers or depend on the fact where they are positioned and whether they convey any meaning (or value ) of the number. If the zeros are between two non zero significant digits then zero is also considered as a significant number.
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Dennis goes to a state fair. The fees are $10 for entry to the fair, $3.50 for each ride, and $3 to play a game. Dennis goes on r rides and plays g games. Which of the following expressions represents how much money Dennis pays?
Answer:
A) 365 + d > 635; d > 270 hope this helps :)
PLEASE HELP ILL MARK AS BRAINLIEST IF CORRECT
Beth travels at an average speed of 30 mph for 20 miles.
Without stopping, Beth then travels 70 miles in 1.5 hours.
Find her average speed for the entire journey to 2 dp.
Answer:
41.54 mph
Step-by-step explanation:
you need to find the total distanceand total time to find the average speed
use distance/time = speed equation
time = 1.5 hours + 40 mins = 2 hours 10 mins
distance= 20 + 70 = 90 miles
90/130 mins x 60 = 41.54 mph
John wants to buy a motorcycle. the tax rate is 6%. How much tax will he pay if the motorcycle cost is 450
Answer:
the tax is 27
Step-by-step explanation:
Answer:
450 x 0.06 = 27. Tax is $27.
Step-by-step explanation:
Given: Quadrilateral PQRS on the coordinate plane.
• Quadrilateral P'Q'R'S' is the image of the quadrilateral PQRS after a
single transformation.
• Quadrilateral P"Q"R"S" is the image of quadrilateral P'Q'R'S' after
a single transformation.
Which statement is true? Select all that apply.
A. If P'Q'R'S' is formed by translating PQRS 4 units to the right and 5 units down, then
PQRS P'Q'R'S'
B. If P'Q'R'S' is formed by reflecting PQRS over the x-axis and then over the y-axis,
then PQRS P'Q'R'S'
C. If P'Q'R'S' is formed by rotating PQRS 60° about the origin, then PQRS =P'Q'R'S'
D. If P'Q'R'S' is formed by rotating PQRS 90° clockwise about point Q, and P"Q"R"S"
is formed by rotating P'Q'R'S 270° counterclockwise, then PQRS =P"Q"R"S".
E. If P'Q'R'S' is formed by reflecting PQRS over the line y=x and P"Q"R"S" is formed
by rotating P'Q'R'S 90° clockwise, then PQRS =P"Q"R"S".
The True Statement is
If P'Q'R'S' is formed by rotating PQRS 90° clockwise about point Q, and P"Q"R"S" is formed by rotating P'Q'R'S 270° counterclockwise, then PQRS = P"Q"R"S". If P'Q'R'S' is formed by reflecting PQRS over the line y=x and P"Q"R"S" is formed by rotating P'Q'R'S 90° clockwise, then PQRS = P"Q"R"S".A. If P'Q'R'S' is formed by translating PQRS 4 units to the right and 5 units down, then PQRS is not necessarily equal to P'Q'R'S'.
Translation is a rigid transformation that preserves the shape and size of the original figure but may change its position.
B. If P'Q'R'S' is formed by reflecting PQRS over the x-axis and then over the y-axis, then PQRS is not necessarily equal to P'Q'R'S'.
Double reflection over perpendicular lines is equivalent to a 180-degree rotation, which may change the orientation of the original figure.
C. If P'Q'R'S' is formed by rotating PQRS 60° about the origin, then PQRS is not necessarily equal to P'Q'R'S'.
Rotation preserves the shape and size of the original figure but changes its orientation and position.
D. If P'Q'R'S' is formed by rotating PQRS 90° clockwise about point Q, and P"Q"R"S" is formed by rotating P'Q'R'S 270° counterclockwise, then PQRS = P"Q"R"S".
The total rotation is equivalent to a 180-degree rotation about point Q, which preserves the shape and size of the original figure.
E. If P'Q'R'S' is formed by reflecting PQRS over the line y=x and P"Q"R"S" is formed by rotating P'Q'R'S 90° clockwise, then PQRS = P"Q"R"S". Reflecting over the line y=x is equivalent to a 90-degree counterclockwise rotation, so the two transformations cancel each other out, and the resulting figure is congruent to the original.
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The data to the right represent the number of chocolate chips per cookie in a random sample of a name brand and a store brand. Complete parts (a) to (c) below.(a) Draw side-by-side boxplots for each brand of cookie. Label the boxplots "N" for the name brand and "S" for the store brand. Choose the correct answer below.(b) Does there appear to be a difference in the number of chips per cookie?(c) Does one brand have a more consistent number of chips per cookie?
(a) Since I cannot draw boxplots in text, I recommend using a boxplot tool, such as a graphing calculator, Excel, or an online boxplot generator. Input the data for each brand and create side-by-side boxplots, labeling them "N" for the name brand and "S" for the store brand.
(b) To determine if there is a difference in the number of chips per cookie between the two brands, compare the median values, the range, and the interquartile range of each brand's boxplot. If these values differ significantly, then there is a difference in the number of chips per cookie between the two brands.
(c) To determine which brand has a more consistent number of chips per cookie, compare the interquartile ranges (IQR) of each brand's boxplot. The brand with the smaller IQR has a more consistent number of chips per cookie, as the IQR measures the spread of the middle 50% of the data.
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ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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Jason is filling up his new pool. At 7:00 pm the water level was at 1.5 feet. At 8 am the water level is at 6ft. Using (+) to show an increase in the water level and a (-) go show a decrease in the water level. What was the change in the water level from 7:00 pm to 8:00 am
Answer:
+4.5 feet
Step-by-step explanation:
The change in level is computed by subtracting the beginning level from the ending level.
Change in levelchange = ending - beginning
change = (6 ft) - (1.5 ft)
change = 4.5 ft
The change in level from 7 pm to 8 am was +4.5 feet.
19 - 6(-k + 4) Simplify to create an equivalent expression
The equivalent expression of this 19 - 6(-k + 4) will be 6k + 5.
Given that:
Expression, 19 - 6(-k + 4)
The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.
Simplify the expression, then we have
⇒ 19 - 6(-k + 4)
⇒ 19 + 6k - 24
⇒ 6k - 5
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I’ll give brainliest (plz asap)
Answer:
it's 3/10
Step-by-step explanation:
you would have to multiply all of those fraction so:
3/4 x 4/5 x 1/2= 3/10
i am so so sorry if i am wrong
Please help, I will give brainliest!
Answer:
DE = 1.2
Explanation:
4 / 2.4 = 1.666666667
2 / 1.666666667 = 1.2
Answer:
a) DE = 1.2 units
b) AC = 5 units
Step-by-step explanation:
If two triangles are similar, their corresponding angles are the same size and their corresponding sides are in the same ratio.
Therefore, if triangle ABC is similar to triangle DEF then their corresponding sides are in the same ratio:
\(\implies \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\)
From inspection of the given diagram::
AB = 2BC = 4EF = 2.4DF = 3Therefore:
\(\implies \dfrac{2}{DE}=\dfrac{4}{2.4}=\dfrac{AC}{3}\)
a) To find the length of segment DE:
\(\implies \dfrac{2}{DE}=\dfrac{4}{2.4}\)
\(\implies 2 \times 2.4 = 4 \times DE\)
\(\implies 4.8=4DE\)
\(\implies DE=\dfrac{4.8}{4}\)
\(\implies DE=1.2\; \sf units\)
b) To find the length of segment AC:
\(\implies\dfrac{4}{2.4}=\dfrac{AC}{3}\)
\(\implies 4 \times 3=2.4 \times AC\)
\(\implies 12=2.4AC\)
\(\implies AC=\dfrac{12}{2.4}\)
\(\implies AC=5\; \sf units\)
The diagram shows 3 points, A, B and C, on a circle, centre O.
AC is a diameter of the circle.
B
Angle BAO is aº and angle BCO is yº
What is the size of angle ABC?
Answer:
90 degrees
Step-by-step explanation:
the centre angle of the triangle is 180°.
ABC is its circumference angle, that is half the centre one
Five times my age 4 years ago is the same as 3 times my age in 2 years." How old is Elmo now?
Answer:
elmo is 3 right now
Step-by-step explanation:
5x -4 = 3x+2
2x= 6
x= 3
ASAP Help!!! Will give brainiest to first correct answer!
Answer:
D:2^5/12 or 1.33483...
Step-by-step explanation:
Hope This Helps!
Answer:
I am sorry I don't Understand!
Sorry I couldn't help!
Step-by-step explanation:
solving equations with variables on each side y-11=25-3y
y=?
explain
Answer:
y = 9
Step-by-step explanation:
y - 11 = 25 - 3y
y + 3y = 25 + 11
4y = 36
y = 9
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researchers observed 50 random people brush their teeth and recorded the number of seconds each person spent brushing. from the sample, they found a mean time of 41.5 seconds. further, their calculations revealed that this estimate is within a margin of error of 2.45 from the true average time that all people spend brushing their teeth. write the interval estimate that will estimate the true average time that people spend brushing their teeth. write your answer using inequality notation:
Answer:
The interval estimate is:
41.5 - 2.45 ≤ true average time ≤ 41.5 + 2.45
or
38.05 ≤ true average time ≤ 44.95
Inequality notation:
[38.05, 44.95]
The interval estimate that will estimate the true average time that people spend brushing their teeth is [39.05, 43.95] seconds.
Given that the mean time spent brushing teeth from the sample is 41.5 seconds, and the margin of error is 2.45 seconds, we can construct a confidence interval estimate using the formula:
(sample mean) ± (margin of error)
Substituting the given values, we get:
41.5 ± 2.45
Simplifying, we get:
[39.05, 43.95]
Therefore, we can be 95% confident that the true average time that all people spend brushing their teeth falls within this interval.
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The radius and height of a cylinder are measured; each measurement has a possible error. The measurements and errors are as follows: radius =7 cm±0.1 cm, and height =12 cm±0.2 cm. Use a differential to estimate the possible error in the calculated surface area of the cylinder.
The possible error in the calculated surface area of the cylinder is approximately 8π square cm.
To estimate the possible error in the calculated surface area of the cylinder, we can use differentials. The formula for the surface area of a cylinder is given by:
S = 2πrh + 2πr²
where r is the radius and h is the height of the cylinder.
Let's find the differential expression for the surface area, dS, in terms of the differentials dr and dh:
dS = (∂S/∂r)dr + (∂S/∂h)dh
To calculate the partial derivatives (∂S/∂r) and (∂S/∂h), we differentiate the surface area formula with respect to r and h, respectively:
(∂S/∂r) = 2πh + 4πr
(∂S/∂h) = 2πr
Now we can substitute the given measurements and errors into the differential expression:
dr = 0.1 cm (error in radius)
dh = 0.2 cm (error in height)
r = 7 cm (radius)
h = 12 cm (height)
dS = (2πh + 4πr)dr + (2πr)dh
= (2π(12) + 4π(7))(0.1) + (2π(7))(0.2)
= (24π + 28π)(0.1) + 14π(0.2)
= (52π)(0.1) + (2.8π)
= 5.2π + 2.8π
= 8π
Therefore, the possible error in the calculated surface area of the cylinder is approximately 8π square cm.
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Assume that |an+1an||an+1an| converges to rho=18rho=18. What can you say about the convergence of the given series?
∑n=1[infinity]bn=∑n=1[infinity]9nan∑n=1[infinity]bn=∑n=1[infinity]9nan
limn→[infinity]∣∣bn+1bn∣∣=limn→[infinity]|bn+1bn|= 18 (Enter 'inf' for [infinity][infinity].)
∑n=1[infinity]9nan∑n=1[infinity]9nan is:
A. convergent
B. divergent
C. The Ratio Test is inconclusive
We can apply the ratio test to determine the convergence of the series.
Using the ratio test, we have:
lim n→∞ |b(n+1)/b(n)| = lim n→∞ |9a(n+1)/a(n)|
Since |(a(n+1)/a(n))| converges to rho = 1/8, we have:
lim n→∞ |b(n+1)/b(n)| = lim n→∞ |9a(n+1)/a(n)| = 9rho = 9/8
If lim n→∞ |b(n+1)/b(n)| < 1, then the series ∑n=1[infinity]bn converges absolutely. If lim n→∞ |b(n+1)/b(n)| > 1, then the series diverges. If lim n→∞ |b(n+1)/b(n)| = 1, then the test is inconclusive.
Since 9/8 > 1, the series ∑n=1[infinity]9nan diverges by the ratio test. Therefore, the answer is (B) divergent
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Calculate the distance between the points A= (3, -9) and C= (8, -4) in the coordinate plane round your answer to the nearest hundredth
Answer:
(6,12)
Step-by-step explanation:
Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.
6 trays with 72 muffins = muffins per tray
Answer:
12
Step-by-step explanation:
To find unit rate, you divide 72 by 6.
72/6=12.
So, there are 12 muffins per tray.
-hope it helps
Choose all values of the correlation coefficient, r, that indicate a strong, but not perfect, linear association between two variables.
A r = -0. 85
B. R=-0. 10
C. R = 0. 15
D. R = 0. 90
E. R= 1. 00
The correlation coefficient, r, that indicates a strong, but not perfect, linear relationship between the two variables are r = -0.85 and R = 0.90.
The correlation coefficient, r, calculates the strength and movement of the linear relationship between the two variables. It ranges from -1 to 1. Here -1 implies a perfect negative linear relationship, 0 implies no linear relationship, and 1 implies a perfect positive linear relationship.
A strong correlation should be close to -1 or 1 but not an equal value. In the given options strong, but not perfect, linear variables are r = -0.85 and 0.90 are closer to the r values.
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which graph represents direct variation? no spam links plz :D
Answer:
d or c
Step-by-step explanation:
PLEASE HELP ME: Mr. Anderson’s doctor has advised him to go on a diet. He must reduce his caloric intake by 15% . He currently eats 2800 Calories per day. Calculate his new daily caloric intake rate in two different ways, using two different multipliers.
Answer:
2,380 calories
Step-by-step explanation:
Given:
Proportions - %/100
__________________________________________________________
15/100 = x/2800
x = 420 = 15%
__________________________________________________________
2800 - 420 = 2,380
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