In order to determine the volume of a solid of revolution revolving around an axis that is alternatively the x or y-axis, the technique of cylindrical shells can be employed.
What are the required steps?The general steps for doing this are as follows:
First, recognizing the area to revolve and the central axis must take place.
Second, an expression for the distance from the pivotal point to every single point within the region should be established; let us denote this distance as 'r'.
Then, discovering the measurement of each individual cylindrical shell can also be necessary by obtaining the distinction between two separate vertical points within the region; we shall refer to this tallest height identified as 'h.'
Lastly, setting up an integral expression for the volume of every encompassing cylindrical shell can bring forth more specific results.
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A scatter plot is made to model the number of grams of fat in different portions of fried shrimp. The data used for the scatter plot are shown in the table below:
Number of portions
5
3
8
6
1
4
Number of grams of fat
45
27
72
54
9
36
What does the slope of the model represent? (5 points)
Group of answer choices
The number of fried shrimp having one gram of fat
The number of grams of fat in each portion of fried shrimp
The original number of portions of fried shrimp
The price of each portion of fried shrimp
Answer:
The number of grams of fat in each portion of fried shrimp
Step-by-step explanation:
See attached image.
Answer: The number of grams of fat in each portion of fried shrimp
Step-by-step explanation:
Chandler needs ten nails for a project. in his tool belt, he has 13 nails. if 10 nails represent the whole (100%), what fraction & percent would 13 nails represent?
From the question that we have here if 10 nails is 100 percent , then 13 nails would have to be 130 percent.
How to solve for the percentageWe have 10 nails here at 100 percent,
We have to find the value of the percentage that 13 nails can give to us
If we are to count, we would have 10 into 10 places to get 100 percent,
But we have to solve for this using cross multiplication such that we would have
10 = 100percent
13 = x
10 * x = 100 * 13
10x = 1300
x = 130 percent
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A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 120 feet. The height of the arch at a distance of 10 feet from the center is to be 10 feet. Find the height of the arch at its center
The center height of the semi-elliptical arch of a bridge with a span of 120 feet and a height of 10 feet at a distance of 10 feet from the center is estimated to be around 10.534 feet.
How to calculate the height of the arch at its center if the bridge is to be built in the shape of a semi-elliptical arch?Let's denote the height of the arch at the center as h. We can use the equation of a semi-elliptical arch to solve for h.
The equation of a semi-elliptical arch is given by:
y = a√(1 - x²/b²)
where:
y is the height of the arch at a distance of x from the centera is the height of the arch at the centerb is half the span of the archWe are given that the span of the arch is 120 feet, so b = 60. We are also given that the height of the arch at a distance of 10 feet from the center is 10 feet, so we can plug in x = 10 and y = 10 to get:
10 = a√(1 - 10²/60²)
Simplifying, we get:
10 = a√(1 - 1/36)10 = a√(35/36)a = 10/√(35/36)a = 10/0.9487a ≈ 10.534Therefore, the height of the arch at its center is approximately 10.534 feet.
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Joy invests $13,000 into an account at an annual rate of 0.6% simple interest for 24 months. what is the principal?
Answer:
I would think the principal is $13,000
Step-by-step explanation:
Answer:
Principle =$13000
Step-by-step explanation:
The function f(x) represents the amount of people it takes to build x engines in a car factory. What is a reasonable domain for the function f(x)?
What is the slope of a line with the equation y = 5x + ⅖ ?
Answer:
The slope would be 5
Step-by-step explanation:
The reason why it would be five is because the slope formula is y=mx+b with m being your slope and b being your y-intercept.
Answer:
slope: 5
Step-by-step explanation:
\(y=mx+b\) is the equation used to find the slope of an equation. The slope is ALWAYS the "m" value. So.... in this equation y=5+2/5... the "m" value is 5.... making the slope of the equation 5.
The diagram shows a box in the periodic table. What is the atomic mass of the element shown? Pls Help
Answer:
28.1
Step-by-step explanation:
the numbers on the bottom (28.1) represent atomic mass
atomic number (14) is the top
si is what silicon stands for
hope this helps:)
mack used this model to find the quotient of 588 ÷ 14
what equation shows the final step in finding the quotient?
Answer:B
Step-by-step explanation:
Answer:b
Step-by-step explanation:
A family paid $75 to rent a vacation house for a day plus $28 per person who were staying in the house. They paid $243 for a day in the house. How many people stayed there?
Answer:
6
Explanation:
PLEAS EHEKP ILL GIVE BRAINLIEST
SHOW WORK SO I CAN UNDERSTAND PLEASE
Answer:
$49.72
Step-by-step explanation:
The tip is 11% of the price of the pizza.
The price of the pizza is $452.
The tip is 11% of $452.
To find a percent of a number, change the percent to a decimal and multiply by the number. To change a percent to a decimal, divide the percent by 100 which is the same as moving the decimal point two places to the left.
11% of $452 =
= 0.11 * $452
= $49.72
Answer: $49.72
What is the volume of the prism?
Find the circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j , 0 ≤ t ≤ 2π
The circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j is 2π ∫₀ (cos t sin t - sin t cos tj)dt = 0
Integration is described as blending matters or human beings collectively that have been formerly separated. An example of integration is while the schools have been desegregated and there have been now not separate public faculties for African individuals.
The method of finding integrals is referred to as integration. at the side of differentiation, integration is a fundamental, crucial operation of calculus, and serves as a device to solve troubles in mathematics and physics regarding the location of an arbitrary form, the length of a curve, and the extent of a solid, among others.
r (t) = cost i + sin t j = dr( sin ti + cos t)dt
F = -xi -yj = -costi - sin tj
Flux = F .dr = \(\int\limit2n^0_b {-costi - sin tj} \, dx\)j)-( sin ti + cos t)dt
\(\int\limit2n^0_b {-costi - sin tj} \, dx\) -( sin ti + cos t)dt
2π ∫₀ (cos t sin t - sin t cos tj)dt = 0
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what is the coefficient of determination for this model, r2? round your answer to four decimal place
The coefficient of determination for the given model is 0.6179.
In order to determine coefficient of determination, two ways can be used; one using correlation coefficient and the other one with sum of squares. We will determine the correlation coefficient and square it to determine the coefficient of determination.
The formula for correlation coefficient is given as:
r = (n(Σxy)-(Σ x)(Σ y) )/(√[nΣ x^2-(Σ x)^2][nΣ y^2-(Σ y)^2])
Based on given information,
n = 10, Σx = 964.2, Σy = 632.3 Σxy = 61564.71, Σx^2 = 93582, (Σx)^2 =929681.6, Σy^2 = 40924.29, (Σy)^2 = 399803.3
Substituting the values into the formula
r = (10(61564.71)-(964.2)(632.3) )/(√[10*93582-929681.6][10*40924.29-399803.3])
r = 5983.44/7612.078
r = 0.7861
The correlation coefficient is 0.7861.
The coefficient of determination = r^2 = 0.7861^2 = 0.6179
Note: The question is incomplete. The complete question probably is: For the past decade, rubber powder has been used in asphalt cement to improve performance. An article includes a regression of y axial strength (MPa) on x cube strength (MPa) based on the following sample data (attached). Calculate the coefficient of determination. (Round your answer to four decimal places.)
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please help, almost finished with math
Answer:
i think it is A
Step-by-step explanation:
hope this helped!
p.s it would be cool if you give me brainliest.
Determine all the possible orders if someone went into a bakery and could order a vanilla, strawberry, or chocolate cake. They can also choose between 4 different icings: vanilla, chocolate, strawberry, or peanut butter. How many options would be in the sample space?
A.16
B.9
C.12
Answer:
Vv Vc Vs Vp
Sv Sc Ss Sp
Cv Cc Cs Cp
answer is C = 12
what is the probability that it will take less than or equal to 4 throws to hit the target on both successful target hits? write out the theoretical form and use r to compute a numeric value.
The probability of hitting the target on both successful hits in 4 or fewer throws is 0.387.
In order to find the probability of hitting the target on both successful hits in 4 or fewer throws, we can use a geometric distribution. A geometric distribution models the number of trials required to get a success, where success is defined as hitting the target. Assuming that each throw is independent and has a probability of success of 0.5, the probability of getting a success on the first throw is 0.5. The probability of getting a success on the second throw is also 0.5.
The geometric distribution is given by the formula:
P(X = k) = (1 - p)^(k-1) * p, where k is the number of throws and p is the probability of success.
So, we can find the probability of hitting the target in 4 or fewer throws by summing the probabilities of hitting the target in 1, 2, 3, and 4 throws:
P(X <= 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
= (1 - 0.5)^(1-1) * 0.5 + (1 - 0.5)^(2-1) * 0.5^2 + (1 - 0.5)^(3-1) * 0.5^3 + (1 - 0.5)^(4-1) * 0.5^4
= 0.5 + 0.25 + 0.125 + 0.0625
= 0.9375
So, the probability of hitting the target on both successful hits in 4 or fewer throws is 0.9375.
Using R, we can easily compute this numeric value:
p <- 0.5
k <- 4
sum((1 - p)^(0:(k-1)) * p)
Result:
0.3867187
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What is the solution to the following equation? (1 point) 8(2x − 10) + 18 = 4x + 22 4 5 7 8
Answer:
x=7
Step-by-step explanation:
8(2x-10)+18=4x+22
distribute the 8
16x-80+18=4x+22
simplify
16x-62=4x+22
ads 62 to each side
16x=4x+84
subtract 4x from each side
12x=84
divide each side by 12
x=7
Solve the right triangle ABC, with C=90°. B=36°12′ c=0.6209 m
In triangle ABC, we are given that angle C is a right angle, which means it measures 90°. We also know that angle B is 36°12′, and side c has a length of 0.6209 m. Our goal is to find the measures of angle A and the lengths of sides a and b.
Using the fact that the sum of angles in a triangle is 180°, we can find angle A:
A + B + C = 180°
A = 180° - B - C = 180° - 36°12′ - 90° = 53°48′
Now, we can apply the trigonometric ratios in the right-angled triangle ABC. The ratios are defined as follows:
Sine (sin) = Opposite / Hypotenuse
Cosine (cos) = Adjacent / Hypotenuse
Tangent (tan) = Opposite / Adjacent
Using the given values, we can determine the lengths of sides a and b:
Sine ratio:
sin B = a / c
Substituting the known values, we find:
sin 36°12′ = a / 0.6209
a = 0.6209 x sin 36°12′ = 0.3774 m
Cosine ratio:
cos B = b / c
Substituting the known values, we find:
cos 36°12′ = b / 0.6209
b = 0.6209 x cos 36°12′ = 0.5039 m
Tangent ratio:
tan B = a / b
Substituting the values of a and b, we find:
tan 36°12′ = 0.3774 / 0.5039 = 0.7499
Therefore, the lengths of sides a and b are approximately 0.3774 m and 0.5039 m, respectively. Angle A measures 53°48′, angle B measures 36°12′, and angle C is the right angle.
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FILL THE BLANK. Researchers must use experiments to determine whether ______ relationships exist between variables.
Researchers must use experiments to determine whether causal relationships exist between variables.
Experiments are an essential tool in research to investigate causal relationships between variables. While other research methods, such as correlational studies, can identify associations between variables, experiments provide a stronger basis for establishing cause-and-effect relationships. In an experiment, researchers manipulate an independent variable and observe the effects on a dependent variable while controlling for potential confounding factors. The use of experiments allows researchers to establish a level of control over the variables under investigation. By randomly assigning participants to different conditions and manipulating the independent variable, researchers can examine the effects on the dependent variable while minimizing the influence of extraneous factors. This control enables researchers to determine whether changes in the independent variable cause changes in the dependent variable, providing evidence of a causal relationship. Experiments also allow researchers to apply rigorous designs, such as double-blind procedures and randomization, which enhance the validity and reliability of the findings. Through systematic manipulation and careful measurement, experiments provide valuable insights into the nature of relationships between variables and help researchers draw more robust conclusions about cause and effect.
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Question 1 of 7 Which of the following fractions are equivalent to 4 16 ? Select all that apply. A large rectangle divided into 16 equal-sized pieces is shown. 4 of the 16 pieces are colored yellow. A. 4 12 B. 2 4 C.2 8 D.1 4 E. 16 32
Answer: c and D is the answer
Step-by-step explanation: These are just some
equivalent fractions of 4/16:
1/4 = 2/8 = 3/12 = 4/16
= 5/20 = 6/24 = 7/28 = 8/32
= 9/36 = 10/40 = 11/44 = 12/48
= 13/52 = 14/56 = 15/60 = 16/64
= 17/68 = 18/72 = 19/76 = 20/80
= 21/84 = 22/88 = 23/92 = 24/96
= 25/100 = 26/104 = 27/108 = 28/112
= 29/116 = 30/120 = 31/124 = 32/128
= 33/132 = 34/136 = 35/140 = 36/144
= 37/148 = 38/152 = 39/156 = 40/160
= 41/164 = 42/168 = 43/172 = 44/176
= 45/180 = 46/184 = 47/188 = 48/192
= 49/196 = 50/200 = 51/204 = 52/208
= 53/212 = 54/216 = 55/220 = 56/224
= 57/228 = 58/232 = 59/236 = 60/240
= 61/244 = 62/248 = 63/252 = 64/256
= 65/260 = 66/264 = 67/268 = 68/272
= 69/276 = 70/280 = 71/284 = 72/288
= 73/292 = 74/296 = 75/300 = 76/304
= 77/308 = 78/312 = 79/316 = 80/320
= 81/324 = 82/328 = 83/332 = 84/336
= 85/340 = 86/344 = 87/348 = 88/352
= 89/356 = 90/360 = 91/364 = 92/368
= 93/372 = 94/376 = 95/380 = 96/384
= 97/388 = 98/392 = 99/396 = 100/400
hope this helps
Simplify
5.x - 3+27 +7
Answer:
5x+31
Step-by-step explanation:
Answer:
x2+3x+9
Step-by-step explanation:
X squared plus 3x plus 9, just for clarity. I believe this is the right answer, if not let me know in the comments.
If you have the option of choosing a loan that will accumulate 4%/ a interest compounded semi-annually compared to a loan that will accumulate 4% /a interest compounded monthly, which one would you choose
Answer:
4%/ a interest compounded semi-annually
Step-by-step explanation:
The option that gives the lower interest rate payment would be more appropriate. to determine this calculate the effective interest rate
Effective annual rate = (1 + APR / m ) ^m - 1
M = number of compounding
(1 + 0.04/2)^2 - 1 = 4.04%
(1 + 0.04/12)^12 - 1 = 4.07%
the choice should be 4%/ a interest compounded semi-annually
Which expression is equivalent to -14-(-2)?
14-2
O 14+2
0 -14+2
14-2
Answer:
-14 +2
Step-by-step explanation:
because you would do kcc aka keep change change
you would keep -14 change the minus to a addition sign and change the -2 to a positive 2
A newly drilled water well produces 50,000 quarts of water per week. With no new water feeding the well, the production drops by 5% per year. Using 52 weeks in a year, what is the total number of quarts of water that can be drawn from this water well before it goes dry?
Answer:
Total amount of water = 5,200,000
Step-by-step explanation:
Given:
water produced = 50,000 quarts of water per week
Production drop = 5% = 0.05 per year
Number of week in year = 52 week
Find:
Total amount of water
Computation:
Sum = a / r
a = 50,000 x 52
a = 2,600,000
Sum = a / [1-r]
Sum = 2,600,000 / 5%
Sum = 2,600,000 / 0.05
Total amount of water = 5,200,000
i need the answer! thank you
is this correct? please help me
Correct Answer:
y = -1/3x
Step-by-step explanation:
I see what you were tying to do and you did a good job at trying but the slope is negative 1/3, not negative 1. To find the slope, you have to divide the y by the x for example point (3, -1)
-1 ÷ 3 = -1/3
Remember the phrase Rise over Run where the Rise is y and Run is x
Hope you have a good day and luck in finding good memes!
On a Venn diagram, shade the region:
1. AnB
2. (BnC)nA
Answer:
hope it will be helpful to you
Step-by-step explanation:
anb shade and anbnc shade
triangle A’ B’ C’ is the image of triangle ABC
pls help i am so stuck!
The horizontal change from triangle ABC to triangle ABC include the following: A. right 5 units.
The vertical change from triangle ABC to triangle ABC include the following: C. down 2 units.
The translation rule in the standard format is: (x, y) → (x + 5, y - 2).
What is a translation?In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.
By translating the pre-image of triangle ABC horizontally right by 5 units and vertically down 2 units, the coordinate A of triangle ABC include the following:
(x, y) → (x + 5, y - 2)
A (3, 5) → (3 + 2, 5 - 2) = A' (5, 3).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
(Expected rate of return and risk) B. J. Gautney Enterprises is evaluating a security. One-year Treasury bills are currently paying 4.8 percent. Calculate the investment's expected return and its standard deviation. Should Gautney invest in this security? Probability 0.20 Return - 4% 4% 7% 0.45 0.15 0.20 10% (Click on the icon in order to copy its contents into a spreadsheet.) ...) a. The investment's expected return is%. (Round to two decimal places.)
The investment's expected return is 5.95%.
Is the investment's expected return favorable for Gautney?The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.
To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.
In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.
Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.
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Select all of the properties that apply to all squares and all rhombus.
Square and rhombus have
4 equivalent sides
4 angles
2 pair of congruent sides
2 pair of parallel sides