The expression for the lateral area of a right cylinder is L = 2πrh.
How to calculate the lateral surface area of the right cylinder?Consider a right cylinder with radius 'r' and height 'h'.
The right cylinder has its height perpendicular to its base.
It is given that, the lateral area of a right cylinder can be found by multiplying twice the number by the radius and the height.
I,e., L = 2 × (3.142) × r × h
Where the number 3.142 is replaced by π. Then,
L = 2 × π × r × h
= 2πrh
Unit: sq. units
How to calculate total surface area using the lateral area?To find the total surface area of the right cylinder, add the lateral area and the area of the base, and the top of the right cylinder.
Ie., S = L + A
⇒ S = 2πrh + 2πr²
Therefore, the expression for the lateral area of the right cylinder is L = 2πrh sq. units.
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Angle
x
= 076° and angle
y
= 111°.
Find the bearing of point A from point O.
The bearing of point A from point O is 256°.
What are bearings?In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.
Given that, angle x= 076° and angle y = 111°.
Now, the bearing of point A from point O is
180°+ 076°
= 256°
Therefore, the bearing of point A from point O is 256°.
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The costs of repairing iPads in UAE are normally distributed with a mean of 173 Dhs. If
3%
of the costs exceed 243 Dhs, find the standard deviation of the costs. Round your answer to the nearest diham (Whole number).
The standard deviation of the costs is 37 Dhs
The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.
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"Month 1 2 3 4 5 6 7
Value 23 15 20 12 18 22 15
What type of pattern exists in the data?
(a) positive trend pattern
(b) horizontal pattern
(c) vertical pattern
(d) negative trend pattern
The negative trend pattern exists in the given data.
The Given information is as follows: Month 1 2 3 4 5 6 7
Value 23 15 20 12 18 22 15
To find: What type of pattern exists in the data
The pattern that exists in the given data can be determined by creating a graph between month and value. So, the graph will be as follows: Type of pattern: From the above graph, it is evident that there is a Negative trend pattern in the data. Answer: (d) Negative trend pattern.
Conclusion: Thus, the negative trend pattern exists in the given data.
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Kara has four boy cousins and three girl cousins. Write a fraction to represent the part of her cousins that are girls.
Answer:
it would be 3/7
Step-by-step explanation:
3+4=7 3 cousins out of the seven are girls
Answer:it would be 3/7
Step-by-step explanation:
Given that the slope of the graphed linear function is -3, which formula could represent the function?
es -
A)
y = -3x + 4
B)
y = -3(x + 4)
y = -3x - 4
D)
y = -3(x - 4)
Answer: y= -3(x+4)
Step-by-step explanation:
What is the area?
:9 mi
10 mi
HELP
Pleaseee help! I WILL MARK BRAINLIEST.
The approximate weights of two animals are 4.23 x 103 lbs. and 8.7 x 103 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits. 1.29 x 104 lbs. 1.3 x 104 lbs. 5.1 x 103 lbs. 12 x 103 lbs.
The total weight of the two animals is 1.3 x 10^4 lbs.
How to determine the total weight of the two animals?The given parameters are
Animal 1 = 4.23 x 103 lbs.
Animal 2 = 8.7 x 103 lbs.
Rewrite the parameters properly
Animal 1 = 4.23 x 10^3 lbs.
Animal 2 = 8.7 x 10^3 lbs.
The total weight of the two animals is calculated as
Total weight = Animal 1 + Animal 2
This gives
Total weight = 4.23 x 10^3 lbs + 8.7 x 10^3 lbs.
Factor out 10^3 lbs
Total weight = (4.23 + 8.7) x 10^3 lbs.
Evaluate the sum
Total weight = 12.93 x 10^3 lbs.
Rewrite as
Total weight = 1.293 x 10^4 lbs.
Approximate
Total weight = 1.3 x 10^4 lbs.
Hence, the total weight of the two animals is 1.3 x 10^4 lbs.
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Two numbers sum to 45. One number is 19 more than the other number. Find the numbers algebraically.
Call one of the numbers x. The other number is 19 more than that number, represented by ____________.
Write an equation that can be used to solve this problem.
Answer:
13 and 32 are the two numbers
x = 32, y = 13
Step-by-step explanation:
x + y = 45
19 + x = y
Use Substitution Method:
19 + x + x = 45
2x + 19 = 45
2x = 26
x = 13
5. You are buying your first vehicle and your uncle is able to get you a 12% discount on any
vehicle bought from Krumps Kars. The car you want to buy has an original price tag of $7800.
What will be the new price of the vehicle after the discount?
Before you start, should your answer be bigger or smaller than $7800? Bigger/Smaller
It has to be smaller than $7800
I am not sure if this answer is right.
Answer:
7800-936=6864
Step-by-step explanation:
x/12 7800/100
100x=93600
936
Johnny received $2,500 as gifts for his high school graduation. He is going to deposit the money into his savings account which earns 2.6% interest. Determine the total amount of money Johnny will have after 9 years.
A=P(1+R)^T
The total amount of money Johnny will have after 9 years is $3,149.68.
Total amount of moneyUsing this formula
Amount=Principal (1+Interest rate)^Time
Let plug in the formula
Amount=$2,500(1+0.026)^9
Amount=$2,500(1.026)^9
Amount=$3,149.68
Inconclusion the total amount of money Johnny will have after 9 years is $3,149.68.
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Then choose whether you would find the percent increase or percent decrease: A town’s population was 36,067 in 2005. Ten years later, the population is 37,902. *
To answer this question, we can proceed as follows:
1. We have that the change is (in percentage):
Then, we have:
\(\frac{37902-36067}{36067}\cdot100=\frac{1835}{36067}\cdot100\approx0.0508\cdot100\approx5.087\)Therefore, the percent increase was about 5.1%.
Solve p = -44 ÷ 11.
GIVING BRAINLIST!!!
Answer:
p=-4
Step-by-step explanation:
Can you please answer My math question for 50 points and brainliest?
Use the figure to find the value of y.
5y°
5x
85
95°
Answer: y=19
First of all we need to use the vertical angle theorem, which states that 2 opposite angles on 2 intersecting lines are equal. So,
5x=85
5y=95
Now solving for both,
x=17
y=19
Convert the following equations from standard form to slope-intercept form. 4x+y=-1
Answer:
\(y = -4x - 1\)
Step-by-step explanation:
Slope-Intercept form is Y = Mx + B
M = Slope
B = Y-INT
4x + y = -1
Isolate y
4x + y = -1
-4x -4x
y = -4x -1
Hope this helps! :)
t=0. after 7 seconds the car traveled 749 ft
what is d
Answer:
5,243 feet
Step-by-step explanation:
rate × time = distance
7 × 749 = 5,243
I hope this helps!
Find the general indefinite integral. (Use C for the constant of integration.) ∫6√x7dx Evaluate the integral by making the given substitution. (Use C for the constant of integration.) ∫x2√x3+39dx,u=x3+39.
The general indefinite integral of 6 \(\sqrt{(x^7)}\ is\ 4/15(x^15/2) + C\). By making the substitution u = x^3 + 39, the integral of \(x^2\sqrt{(x^3 + 39)}\) dx becomes 1/9\((u^{2/3})\) + C.
To find the general indefinite integral of 6\(\sqrt{(x^7)}\), we can use the power rule for integration, which states that ∫\(x^n\) dx = \((1/(n+1))x^{n+1} + C\), where C is the constant of integration. Applying this rule, we have ∫6\(\sqrt{(x^7)}\) dx = 6∫\((x^7)^{1/2}\) dx = 6 * (2/9)\((x^{7/2})\) + C = 4/15\((x^{15/2})\) + C.
Now, let's evaluate the integral ∫x^2√(x^3 + 39) dx by making the substitution u = \(x^3\) + 39. Taking the derivative of u with respect to x gives du/dx = \(3x^2\). Rearranging this equation, we have dx = (1/3x^2) du. Substituting this back into the integral, we get ∫\(x^2\sqrt{(x^3 + 39)}\) dx = ∫\((x^2)(u^{1/2}) * (1/3x^2)\) du = (1/3)∫\(u^{1/2}\) du.
Integrating u^(1/2) with respect to u using the power rule, we have (1/3) * \((2/3)(u^{3/2}) + C = 2/9(u^{2/3}) + C\). Substituting back u = x^3 + 39, the final result is \(2/9(x^3 + 39)^{2/3} + C\).
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Which is the graph of the function f(x) = -√x
Answer:
1st Graph
Step-by-step explanation:
Easiest and quickest way is to graph the function in a graphing calc and then choosing the best answer.
Suppose the correlation between two variables is r = 0.23. What will the new correlation be if 0.14 is added to all values of the x-variable, every value of the y-variable is doubled, and the two variables are interchanged?
A. 0.23
B. 0.37
C. 0.74
D. -0.23
E. -0.74
Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables. the correct option is B. 0.37.
The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.
If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.
To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.
For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:
r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.
Hence, the correct option is B. 0.37.
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I’m stuck on this maths question, I need some help
Answer:
1.48 meters
Step-by-step explanation:
let the sum of the heights of the girls and the boys be Y and x respectively
\( \frac{x}{14} = 1.56 \: \: \: \: \frac{x + y}{32} = 1.515 \: \\ x = 21.84 \: \: \: \: x + y = 48.48 \\ y = 48.48 - 21.84 = 26.64 \\ \: the \: number \: of \: girls \: in \: aclass \: is \: 32 - 14 = 18 \\ then \: the \: mean \: will \: be \: \\ \frac{26.64}{18} = 1.48\)
X=6 x+y=
Answer:
mean (average height) of the girls is 1.48 metres
Step-by-step explanation:
Number of boys × average height = 14 × 1.56 = 21.84
All students × average height = 32 × 1.515= 48.48
Number of girls × average height = 18 x
32-14 boys = 18 girls
Total height of all = Total height of boys + Total height of girls
48.48 = 21.84 + 18x
48.48 - 21.84 = 18x
26.64 = 18x
26.64 ÷ 18 = x
1.48 = x the average height of the girls
answer for this and example
Answer:
e would equal a half because it's in the middle
what is 20+60x50/80.2=??
Answer:
57.4064837905
Step-by-step explanation:
MATH
8
Solve each of the equations below and classify them based on their solution.
DRAG & DROP THE ANSWER
No Solution
-82-30 = -112
One Solution
by = -6y - 12
-32 = 8 - 2
- 5n = 3 - 5n
Infinitely many Solution
SHOW HINT
Answer:
is this helpful or do i need to add more because this is all i could figure out :/
Step-by-step explanation:
one solution = -82 - 30=- 112
many solution = 6y - 12
no solution = -5n = 3 - 5n
infinite solution = -32 = 8 - 2
hope this helps
Use the graph to answer the question.
The coordinates of point Pare (0.6,0.1).
y
.
P
What are the coordinates of point Q? Enter the answer in the boxes.
Answer:
Coordinate Q is (0.8, 0.7)
Step-by-step explanation:
We are told that the coordinates of point Pare (0.6,0.1).
This means that along the x-axis, x = 0.6 and along the y-axis, y = 0.1.
Now, by inspection of the graph, we can see that when we count boxes from the origin to the point P, we have 6 boxes. Thus, each box corresponds to 0.1. So, for point Q, from the origin to that point, on the x-axis, we have 8 boxes. Since one box = 0.1, then the x - value of Coordinate Q is 0.8.
On the y - axis, we see that we have one box from the origin up for the corresponding y-value of coordinate P.
This means that one box is 0.1.
For coordinate Q, we will count 7 boxes. Thus, y-value of coordinate Q is 0.7.
Thus,coordinate Q is (0.8, 0.7)
Based on the dots below, which of the following is a true statement
Answer:
Is there supposed to be some "dots" or something
simplify the expression 2(10) + 2(x - 4)
Answer:
2(x+6)
Step-by-step explanation
#8 PLEASEEEENENDBBXNFJDNNFNBCBCC
Answer:
a) 45° b) 90°
Step-by-step explanation:
squares have 90 degree angles and half of that is 45
It is stretched horizontally by a factor of 2 and translated up 3 units.
It is compressed horizontally by a factor of 2 and translated up 3 units.
It is stretched vertically by a factor of 2 and translated up 3 units.
It is compressed vertically by a factor of 2 and translated up 3 units.
The correct option B. It is compressed horizontally by a factor of 2 and translated up 3 units.
What is meant by the term translation?The translated shapes appear to be the same size as that of the original shape, and thus the shapes are congruent. They were simply shifted in one or even more directions. There isn't any change in the form because it is simply moved from one location to another.For the given question;
The image function is defined as ; y = ㏒(2x) + 3
The parent function is; y = ㏒(x).
The first graph, X, is multiplied by 2 (2x), compressing it horizontally by a factor of 2.The number 3 is then added, which moves the graph up three units.Thus, the image function y = ㏒(2x) + 3 is obtained by the process as,compressed horizontally by a factor of 2 and translated up 3 units.
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The complete question is-
How is the graph of y = ㏒(2x) + 3 related to the graph of y = ㏒(x).
Options are-
A. It is stretched horizontally by a factor of 2 and translated up 3 units.
B. It is compressed horizontally by a factor of 2 and translated up 3 units.
C. It is stretched vertically by a factor of 2 and translated up 3 units.
D. It is compressed vertically by a factor of 2 and translated up 3 units.
Piao is creating a list of characteristic traditionally associated with females in America seociety
Answer: B
Step-by-step explanation: Piao is creating a list of characteristics traditionally associated with females in American society. Which characteristic should he include in his list? A. Is competitive B. Is sensitive C. Is strong D. All of the above
Help ASAP please both questions
Peyton knows that 18 means “1 divided by 8.” She uses this to find the decimal equivalent for 18. Enter a digit into each box to complete her work.
Whoever gives best answer gets brainliest.
Answer:
Down Here ↓↓↓↓↓↓↓
Step-by-step explanation:
1/8 = 1 ÷ 8
It might be weird with the formatting but here:
0. 1 2 5
____________
8 | 1. 0 0 0
− 0
____________
1 0
− 8
____________
2 0
− 1 6
___________
4 0
− 4 0
___________
0
-Chetan K