Surface area of a cylinder. (see attached image please)
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
Firstly you need to remember the formula to find out surface area of a cylinder - Surface area of a cylinder = 2πr ( r + h ) where r is the radius of a circular face and h is the height of the cylinder.We're provided : Diameter of cylinder = 12 which means radius ( r ) = 6 cm [ Radius is the half of diameter ] & Height ( h ) = 25 cm & we know pi ( π ) = 22/7.[tex] \large{ \tt{❁ \: LET'S \: SOLVE}} : [/tex]
[tex] \large{\boxed{ \tt{☄TOTAL \: SURFACE \: AREA \: OF\: CYLINDER= 2\pi \: r \: ( \: r + h)}}}[/tex]
- Plug the values & then simplify !
[tex] \large{↦2 \times \frac{22}{7} \times 6(6 + 25) }[/tex]
[tex] \large{↦2 \times \frac{22}{7} \times 6 \times 31}[/tex]
[tex] \boxed{\large{↦1169.14 \: \tt{ {cm}^{2} }}}[/tex]
Hence , The surface area of given cylinder is 1169.14 cm²✺ Stay dedicated because great things takes time! ♪
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How do you use this formula???
Please be specific.
I'll give you brainlist, I PROMISE!
A=P(1+r)^n
Answer:
Arithmetic Finance.
Compound interest
Step-by-step explanation:
when you're given the year sequence, principal and rate.
Answer:
Step-by-step explanation:
A = P ( 1 + r)^ n
This formula is used to find the Amount in Compound interest.
P --- Principal - the value we are depositing or taking loan
r - rate of interest
n --- number of years
A- amount that we get after n years or the loan to paid after n years
Which expression is equivalent to the expression -3(4x - 2) - 2x ?
Answer:
-14x + 6
Step-by-step explanation:
-3(4x - 2) - 2x
-12x + 6 - 2x
-14x + 6
A store offered a buy one get one free sale for a popular shirt. The manager noticed that 35% of consumers bought a red shirt, 25% a blue, and 40% a green. Assume all consumers bought either two shirts or none at all, but no consumer buys two shirts of the same color. How many consumers did not buy any of these shirts
Answer:
50%
Step-by-step explanation:
Let X = Green and red
Y = Red and blue
Z = Green and blue
( Buy green or red or blue )
⇒ (x + y) + (y + z) + (z + y) = 25 + 40 + 25
⇒ 2( x + y + z) = 100
∴ x + y + z = 50
Buy at least one shirt = 50%
So, did not buy any shirt = 100 - 50
= 50%
4. If z, a+bi and z, c+di represent two complex numbers with real components a, b, c and d, then which of the following represents the coefficient of i in the product of z, and z,?
(1) ac-bd
(2) ad-be
(3) ab+cd
(4) be+ad
Answer:3
Step-by-step explanation:
Before you factor you should check what two things?
Answer:
I put all the steps to factoring, hopefully this helps! ^^
Step-by-step explanation:
-Check for common factors. If the terms have common factors, then factor out the greatest common factor (GCF) and look at the resulting polynomial factors to factor further.
-Determine the number of terms in the polynomial.
-Look for factors that can be factored further.
-Check by multiplying.
Jasmine recorded the number of minutes she spent doing homework each day during the months of March and April
The box plot shows her data for March
March
0
5
10
15
20
25
30
35
40
45
50
Time Spent Doing Homework (minutes)
Her data for April is given in the table
0 5 10 15
20 25 30 30 30
30 30 30 30
35 40 40 40 45
45 45 45 50 50 55 60 65 65 75
Select all true statements about the data
DA Jasmine spent more minutes doing homework during the month of April.
B
The mean value
greater for the month of April
C. The median value is greater for the month of April
D. Based on the interquartile range, there is greater variability for the month of April
Answer:
Option A,B,C and D is correct
Step-by-step explanation:
As we can see , the data set for April month has longer time duration taken for completing homework as compared to the time taken during the month of April. Hence, option A is correct.
Option B is also correct because most of the instance of time taken for doing homework is greater for month of April as compared to the month of March
Median value for the month of march = 25 and median value for the month of April is (30+35)/2 = 32.5. Hence, Option C is correct
There is greater variability for the month of April. Hence, option D is correct
i need help asap i don’t get it
I need help
Cristina and Kori both leave the restaurant at the same time, but in opposite directions. If Kori travels 9 mph faster than Cristina and after 6 hours they are 186 miles apart, how fast is each traveling?
Carrie left the restaurant traveling 12 mph. Then, 4 hours later, Leah left traveling the same direction at 24 mph. How long until Leah catches up with Carrie?
Paige started biking to the mall traveling 8 mph, after some time the bike got a flat so Paige walked the rest of the way, traveling 5 mph. If the total trip to the mall took 8 hours and it was 46 miles away, how long did Paige travel at each speed?
Answer:
Question 1)
Cristina is traveling 11 miles per hour and Kori is traveling 20 miles per hour.
Question 2)
Four hours.
Question 3)
Paige spent two hours biking and six hours walking.
Step-by-step explanation:
Question 1)
Let Cristina's speed be x.
Kori travels 9 miles per hour faster than Cristina. So, Kori's speed is (x + 9).
After six hours, Cristina would have traveled 6x miles and Kori would have traveled 6(x + 9) miles.
Since Kori traveled in the opposite direction, we can place a negative to represent this. So, after six hours, Kori is -6(x + 9) miles away from the restaurant while Cristina is 6x miles away from the restaurant.
Since the distance between them is 186 miles, the difference of the two expressions is 186. Hence:
[tex](6x)-(-6(x+9))=186[/tex]
Distribute:
[tex]6x-(-6x-54)=186[/tex]
Distribute:
[tex]6x+6x+54=186[/tex]
Simplify:
[tex]12x=132[/tex]
Hence:
[tex]x=11[/tex]
Cristina's speed is 11 miles per hour. Thus, Kori's speed is 20 miles per hour.
Question 2)
Let h represent the amount of time that has passed in hours.
Carrie left the restaurant traveling 12 miles per hour.
Four hours later, Leah left traveling in the same direction at 24 miles per hour.
After four hours, Carrie would have traveled 12(4) = 48 miles.
Carrie would still be traveling at 12 miles per hour. So, her distance from the restaurant is given by:
[tex]12h+48[/tex]
Since Leah just left and is traveling at a rate of 24 miles per hour, her distance from the restaurant is given by:
[tex]24h[/tex]
Leah will catch up when the two expressions are equivalent. Hence:
[tex]12h+48=24h[/tex]
Solve for h:
[tex]12h=48\Rightarrow h=4[/tex]
Leah will catch up with Carrie in four hours.
Question 3)
Let x represent the amount of hours spent biking and y represent the amount of hours spent walking.
The total trip to the mall took eight hours. Hence:
[tex]x+y=8[/tex]
The mall is a total of 46 miles away. Since Paige bikes at a rate of 8 miles per hour and walks at a rate of five miles per hour:
[tex]8x+5y=46[/tex]
Solve the system. We can use elimination. Multiply the first equation by -5:
[tex]-5x-5y=-40[/tex]
We can add this to the second equation:
[tex]3x=6[/tex]
Hence:
[tex]x=2[/tex]
Using the first equation again:
[tex](2)+y=8\Rightarrow y=6[/tex]
So, Paige spent two hours biking and six hours walking.
which of the following values are in the range of the function graphed below?
Answer:
f)0
Step-by-step explanation:
For the sample standard deviation(s) for situations involving means, explain whether it affects the width of a confidence interval, the center of a confidence interval, neither, or both.
Answer:
Affects the width of a confidence interval, as the margin of error is a function of the sample standard deviation.
Step-by-step explanation:
When we have the standard deviation for the sample, the t-distribution is used to solve the question.
It does not affect the center of the interval, which is a function only of the sample mean.
Width of a confidence interval:
The width of a confidence interval is a function of the margin of error, which is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
In which s is related to the sample standard deviation. Thus, since s and M are directly proportional, a higher standard deviation makes the interval wider, lower standard deviation makes the interval narrower, and thus, the sample standard deviation affects the the width of a confidence interval.
The scores on an exam are normally distributed, with a mean of 82 and a standard deviation of 10. What percent of the scores are less than 62?
Answer:a
a
Step-by-step explanation:
i took the test
With sales tax, it costs $707 to buy a $700 dining room table. What is the sales tax
percentage?
Write your answer using a percent sign (%).
Answer:
1%
Step-by-step explanation:
707-700=7 tax
700 x tax percentage=7
tax percentage =7/700
Tax percentage= .01 0r 1%
Find the circumference of a circle with diameter,
d
= 6cm.
Give your answer in terms of
π
.
Answer:
6π cm
Step-by-step explanation:
Please help I will Mark if your right
Answer:
Line DC.
Step-by-step explanation:
Point D and Point C are not connected and, therefore, do not form a line.
Geometry
DC is not a line, due to it not being connected.
A ball is thrown straight down from the top of a building at a velocity of 16 ft/s. The building is 480 feet tall, and the acceleration due to gravity is 32 ft/s2.
This problem can be represented using the following equation.
How much time will the ball take to reach the ground? (1/2)32t^2+16t=480
Answer:
Time, t = 5 seconds.
Step-by-step explanation:
Given the following data;
Initial velocity = 16 ft/s
Height = 480 ft
Acceleration due to gravity = 32 ft/s²
To find how much time it will take the ball to reach the ground, we would use the kinematic equation given by the formula;
[tex] d = V_{i}t + \frac {1}{2}at^{2} [/tex]
Where;
d is the displacement.Vi is the initial velocity.a is the acceleration or acceleration due to gravity.t is the time measured in seconds.Substituting into the equation, we have;
[tex] 480 = 16t + \frac {1}{2}*32t^{2} [/tex]
[tex] 480 = 16t + 16t^{2} [/tex]
Dividing all through by 16, we have;
[tex] 30 = t + t^{2} [/tex]
Re-arranging the quadratic equation, we have;
[tex] t^{2} + t - 30 = 0 [/tex]
We would solve the quadratic equation by factorization;
[tex] t^{2} + 6t - 5t - 30 = 0 [/tex]
[tex] t(t + 6) - 5(t + 6) = 0[/tex]
[tex] (t + 6)(t - 5) = 0 [/tex]
t = -6 or 5
Since we know time can't be negative, we would ignore the value of -6.
Therefore, time = 5 seconds
Si 3 alumnos inasistentes de un curso corresponde al 10%. ¿Cuántos alumnos tiene el curso?
a)13 b) 27 c) 30 d) 110
Which of these are polygons?
On
А
B
o
D
F
G
G
Answer:
B C and F
Step-by-step explanation:
Polygons are closed shaped with straight lines
D and E have curves therefore they cannot be classified as polygons
A is not closed therefore it A is not a polygon
B, C and F are closed and use only straight lines therefore those 3 are polygons
Hawkeye Elementary School is having a raffle for students who are in sports. The school leaders are voting to choose between the two options below.
i. Option 1: Raffle off two items and include all boys and girls in each raffle.
ii. Option 2: Have a separate raffle for boys and a separate raffle for girls.
Not in sports In sports Total
Girls 17 18 35
Boys 17 21 38
Total 34 39 73
Required:
If you get to vote and you have a daughter in sports, which option would you vote for and why?
Answer:
The answer is "0.052 and 0.056".
Step-by-step explanation:
For option 1:
Your daughter's opportunity (in sport) (when a person only wins once)
[tex]\to \frac{1}{39}+\frac{1}{38}\\\\ \to \frac{38+39}{1,482} \\\\\to \frac{38+39}{1,482} \\\\\to 0.052[/tex]
For option 2:
Your daughter would win a chance (in sport) [tex]= \frac{1}{18} = 0.056[/tex]
So a little better, the second option. The rationale is that there are fewer girls than boys so if a lottery in a smaller group is awarded you are more likely to win.
This graph shows the cost of a small cheese pizza at 3 different restaurants. a) explain how the size of the bars gives a false impression about the cost of the pizza at different restaurants.
I would answer, but I don’t see the graph. If you add the graph I could help (if you want of course, not trying to be rude. Sorry!)
Which of the following is geometric sequence
A. 1,1/2,1/4,1/8
B.2,4,6,8
C.1,1,2,3,5
D.7,4,1,-2
Answer:
A
Step-by-step explanation:
...................
Answer:
here's the whole unit test
Step-by-step explanation:
ur welcomeeeee ;)
What combination of variables could you analyze using correlation?
religious identification & life satisfaction
IQ score and annual income
ethnic identification & average # of children
preferred genre of music & age
Answer:
YOu have to add them i think
Step-by-step explanation:
First add the 3-4 and then finish it
Solve tan(x+π2)+tan(x−π2)=2 for 0≤x<2π
In the interval 0≤x <π, the solution is
Answer:
[tex]x = \pi \div 4 [/tex]
An electronics firm claims that the proportion of defective units of a certain process is 5%. A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot. On a particular occasion, the bury found 5 items defective. a) What is the probability of this occurrence, given that the claim of 5% defective is correct
Answer:
0.0006 = 0.06% probability of this occurrence
Step-by-step explanation:
For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
An electronics firm claims that the proportion of defective units of a certain process is 5%.
This means that [tex]p = 0.05[/tex]
A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.
This means that [tex]n = 15[/tex]
a) What is the probability of this occurrence?
Probability of 5 defective items, whch is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006[/tex]
0.0006 = 0.06% probability of this occurrence
5c + 40 + 2 and 5c + 2(2c + 1)
Answer:
5c + 42 and 9c + 2
Step-by-step explanation:
if a number has a variable next to it then it cannot be combined with a number that is alone.. Therefore there is no exact answer unless the variable has a number that you can replace it with. So basically numbers with the same number can be added together and numbers alone can be added together. If you do the math right then you should get the answer.
For vectors u = i + 6j, v = 5i – 3j, and w = 9i – 2j, determine u • w + v • w.
27
18
90
48
Answer:
This is the explanation you can find answer by rolling it.This morning, the cafe served 8 coffees in all, 75% of which were regular. How many regular coffees did the cafe serve?
Answer:
6 regular coffees. Thank it if its helpful, thank you!
Step-by-step explanation:
75% of 8 is 6
Reasoning:
75/100*8/1=600/100
600/100=6!
Answer:
Regular coffee served by cafe = 75%* 8
= 75/100*8 = 6 coffees
Step-by-step explanation:
6y + 15 = A (2y +B)
Find the values represented by
A and B.
A. A = 3 , B = 3
B. A = 2 , B = 5
C. A = 3 , B = 5
D. A = 6 , B = 15
Please guys give me the answer
Step-by-step explanation:
C. A =3 , B = 5
6y + 15 = 3 ( 2y + 5 )
A = 3
B = 5
Rectangle PQRS is shown with its diagonals, PR and QS.
Rectangle P Q R S is shown. Diagonals are drawn from point P to point R and from point S to point Q and intersect at point T.
What type of triangle is △STR?
right triangle
equilateral triangle
isosceles triangle
scalene triangle
Answer:
the triangle is an isosceles triangle
The type of triangle STR is Isosceles triangle
Properties of a rectangleOpposite side are parallelOpposite sides are congruentOpposite angles are congruentDiagonal are congruent and they bisect each other.Since the diagonal bisect each other, the triangle STR formed has two opposite sides equal to each other and the base angle of the triangle STR are congruent.
Therefore, triangle STR is an Isosceles triangle.
Isosceles triangle have two of it sides equal to each other.
learn more on rectangle here: https://brainly.com/question/2229933
1. A is a quadrilateral with exactly one
pair of parallel sides.