The radius of the base of a cylinder is 38 mm and it’s height is 51 mm. Find the surface area of the cylinder in terms of pi.
Answers
The surface area of the cylinder is 6764π mm².
Given the radius of the cylinder is 38 mm and
the height of the cylinder is 51 mm.
we are asked to determine the surface area = ?
we know that surface area of a cylinder = 2πrh + 2πr²
given, r = 38 mm
h = 51 mm
substitute the above values to get the surface area.
A = 2πrh + 2πr²
A = 2π(38)(51) + 2π(38)²
A = 2π(1938) + 2π(1444) mm²
A = 3876π + 2888π mm²
A = 6764π mm²
Hence the surface area of the cylinder is 6764 mm² in terms of π.
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Related Questions
pls help edguity
Using a Ratio Table
A 3-column table with 2 rows. Column 1 is labeled Scale factor with entries 1, 1.25. Column 2 is labeled Width with entries 8 inches, A. Column 3 is labeled Length with entries 28 inches, B.
The value of A is
.
The value of B is
.
Answers
Using proportions, it is found that:
The value of A is of 10.The value of B is of 35.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
In the first row of the table, we are given the scale factors of 1 and 1.25. From the second row, we have that the width for a scale of 1 is of 8 inches, and for a scale of 1.25 is of A, hence:
A = 1.25 x 8 = 10.
For the third row, we have that the scale of 1 is of 28 inches, while the scale of 1.25 is of B, hence:
B = 1.25 x 28 = 35.
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Rewrite 2,290,000 in scientific notation.
2.29 x 10−6
2.29 x 10−4
2.29 x 104
2.29 x 106
Answers
The answer choice which represents the rewritten form of; 2,290,000 in scientific notation is; 2.29 × 10⁶.
What is 2,290,000 in scientific notation?The scientific notation of a number is the form of the number such that only one digit appears before the decimal and the rest of the place value is represented by exponents of 10.
Hence, since the highest place value in the number is million; it follows that the science notation representation is; 2.29 × 10⁶.
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Find the quotient of x^5 − 2x^3 + 1 / x^2 − 6 by any appropriate method. Given that the initial expression is of the form a(x)/b(x) , rewrite the quotient in the form q(x)+r(x)/b(x) , noting that r(x) could possibly be zero. Identify q(x) , r(x) , and b(x) .
q(x)=
r(x)=
b(x)=
Answers
The quotient in the form q(x)+r(x)/b(x) which is equal to the x^3 +4x +(24x +1 divided by x^2 − 6), and the identification q(x) , r(x) , and b(x) are as follow :q(x) = x^3 +4x
r(x) = 24x +1
b(x) = x^2 − 6
Given details in the following question are as follows:
x^5 − 2x^3 + 1 is divided by x^2 − 6
By using the divisor method :
x^5 − 2x^3 + 1 / x^2 − 6 = x3 +(4x^3+1 is divided by x^2 − 6)
= x^3 +4x +(24x +1 divided by x^2 − 6)
where we can see that the q(x) +r(x)/b(x) is equal to the x^3 +4x +(24x +1 divided by x^2 − 6)
q(x) = x^3 +4x
r(x) = 24x +1
b(x) = x^2 − 6
The quotient in the form q(x)+r(x)/b(x) which is equal to the x^3 +4x +(24x +1 divided by x^2 − 6)
What is the divisor method?A divisor divides a number into equal groups. The number that is being divided is called the dividend and the number that divides it is called the divisor.
Divisor Formula
The divisor formula is formed for two situations - with or without a remainder:
If the remainder is 0, then Divisor = Dividend ÷ Quotient.
If the remainder is not 0, then Divisor = (Dividend - Remainder) ÷ Quotient
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Write the following numbers
In order from least to greatest
Answers
[(3/4), -(√5), -3, 2.5 and 0] when arranged in ascending order will be in the order of [tex][(-3),-(\sqrt{5}),0,\frac{3}{4},2.5][/tex].
As per question statement, we are provided with 5 random numbers:
[(3/4), -(√5), -3, 2.5 and 0].
We are required to rearrange the above mentioned numbers in their ascending order.
We know from basic mathematical knowledge that, any number of integer or fraction with a negative sign is less than Zero or any other positive number.
Here, we have two negative quantities [-(√5) and (-3)]. Since [tex]4 < 5 < 9\\or, \sqrt{4} < \sqrt{5} < \sqrt{9} \\or,2 < \sqrt{5} < 3\\or,(-2) > [-(\sqrt{5})] > (-3)\\or,(-3) < [-(\sqrt{5})] < (-2)[/tex]
That is, we have established our required relation between the negative numbers.
We also know that, zero is the midpoint of the number line and any other positive number is greater than zero while any negative number is less than zero. Hence, [tex][(-3) < -(\sqrt{5}) < 0][/tex] and [tex](0 < \frac{3}{4}),(0 < 2.5)[/tex].
Now, between (3/4) and 2.5, since (3/4) is a proper fraction, it means that (3/4) is less than 1, and since (1 < 2.5), therefore, [tex](\frac{3}{4} < 2.5)[/tex].
Hence, [(3/4), -(√5), -3, 2.5 and 0] when arranged in ascending order will be in the order of [tex][(-3),-(\sqrt{5}),0,\frac{3}{4},2.5][/tex].
Ascending Order: In mathematics and also in any field of daily life, arranging a set of values starting with the least one, then the second least, then the third least and so on till the greatest value is known as an Ascending Order.To learn more about Ascending Order, click on the link below.
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Find the vaule of the expression below for r = 4 and t = 2.
t^3 - r + 20 divded by r
A). 9
B). 72
C). 6
D). 40
Answers
Answer: A: 9
please mark me brainlyest i hope i helped you
Two pages that face each other in a book have 349 as the sum of their page numbers. What is the number of the page that comes first?
Answers
Answer: 174
Step-by-step explanation:
For this problem, let's divide the number by two since we know it's a combination of two numbers in a series as they are two consecutive book pages.
349 / 2 = 174.5
Note, that the number we have is a decimal, and page numbers cannot be partial numbers, they must be integers. With this, we can take the lower and the upper of our decimal numbers to retrieve the two-page numbers.
174.5 (Upper) ==> 175
174.5 (Lower) ==> 174
With this, we can verify these numbers have a sum of 349.
175 + 174 =? 349
349 == 349
So indeed, these numbers are a sum of 349. Now that we know these are our page numbers, we know 174 will come before 175 since page numbers are sequential.
Cheers.
4 is multipled by the difference of 5 and a number.
Answers
Answer:
Four times the difference of a number and 5 means equates to: 4(x-5), with x being the unknown number. You also know that this equation is equal to the number, x, increased by 4. So you now know that 4(x+5) is equal to (x+4
Describe the path of a baseball in terms of the forces, balanced or unbalanced, that are acting on it.(1 point)
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release since the ball is moving. The forces remain unbalanced while the ball is traveling through the air at a constant speed. The forces only return to being balanced once the ball makes contact with the catcher's glove, preventing it from moving.
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release since the ball is moving. The forces remain unbalanced while the ball is traveling through the air at a constant speed. The forces only return to being balanced once the ball makes contact with the catcher's glove, preventing it from moving.
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release. The forces remain unbalanced while the ball is traveling through the air at a constant speed and when the ball hits the catcher's glove and slows down. The forces only return to being balanced once the ball is completely at rest in the catcher's glove.
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release. The forces remain unbalanced while the ball is traveling through the air at a constant speed and when the ball hits the catcher's glove and slows down. The forces only return to being balanced once the ball is completely at rest in the catcher's glove.
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release since the ball is moving. They then return to being balanced while the ball is traveling through the air at a constant speed. The forces become unbalanced when the ball hits the catcher's glove and slows down. They then return to being balanced once the ball is completely at rest in the catcher's glove.
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release since the ball is moving. They then return to being balanced while the ball is traveling through the air at a constant speed. The forces become unbalanced when the ball hits the catcher's glove and slows down. They then return to being balanced once the ball is completely at rest in the catcher's glove.
The baseball is at rest in the pitcher's glove, meaning the forces are balanced, and remain balanced during the pitcher's windup since the ball is still in contact with the glove. During the release, the forces become unbalanced and remain unbalanced as the ball travels through the air at a constant speed. The forces become balanced again the moment the ball makes contact with the catcher's glove.
Answers
The path of the ball in terms of the balanced or unbalanced forces that act on it is described by the following option;
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release since the ball is moving. They then return to being balanced while the ball is traveling through the air at a constant speed. The forces become unbalanced when the ball hits the catcher's gloves and slows down. They then return to being balanced once the ball is completely at rest in the catcher's gloveHow can the path of the baseball be described?According to Newton's laws of motion, a body remains at rest or maintains a uniform motion in a straight line unless unbalanced forces are acting on it.
Therefore;
The forces are balanced when the ball is at rest in the pitcher's glove.
While the ball is made to move during the pitcher's windup and release, the forces are unbalanced.
The forces are balanced while the ball is traveling at a constant speed (uniform motion).
When the ball's speed is changed as it hits the catcher's gloves, the forces are unbalanced.
When the ball is at rest in the catcher's gloves, the forces are balanced.
The correct option is therefore the 6th option
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I NEED HELP WITH QUESTION PLEASE!!
What is the inverse of f(x)
(x) = (x-4)² for x ≥ 4?
Answers
Answer:
4th choice [tex]\bold{f^{-1}(x) = \sqrt{x} + 4}[/tex]
Step-by-step explanation:
Definition of the inverse of a function
A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x. The domain of f becomes the range of g and the range of f becomes the domain of g
To solve for the inverse of the function [tex]f(x) =\left(x-4\right)^2[/tex]
Let [tex]y=\left(x-4\right)^2[/tex]
[tex]\mathrm{Replace}\:x\:\mathrm{with}\:y[/tex] [tex]\text{ and replace }\:y\:\mathrm{with}\:x[/tex]
[tex]x=\left(y-4\right)^2[/tex]
Switch sides
[tex]\left(y-4\right)^2=x[/tex]
Take square roots on both sides
[tex]y-4=\pm\sqrt{x}[/tex]
Add 4 on both sides to solve for y
[tex]y = \pm\sqrt{x} + 4[/tex]
We have two solutions
[tex]y=\sqrt{x}+4,\:y=-\sqrt{x}+4[/tex]
To determine which one of these to be chosen not that in the given choices we can eliminate the first two since x cannot be negative
The third choice can also be eliminated since
[tex]-\sqrt{x} + 4[/tex] is a decreasing function for [tex]x \ge 0[/tex]
So the last answer choice is correct and the inverse of[tex]f(x) = (x-4)^2[/tex]
is given by [tex]f^{-1}(x) = \sqrt{x} + 4[/tex]
Answer:4th choice [tex]\bold{f^{-1}(x) = \sqrt{x} + 4}[/tex]
Note
Domain of (x-4)² is [4, ∞) since x ≥ 4 and (x-4)² cannot be negative
Range of (x-4)² is [0, ∞)
Domain of [tex]\sqrt{x}\:+\:4[/tex] is [0, ∞)
Range of [tex]\sqrt{x}\:+\:4[/tex] is [4, ∞)
so indeed the domain of (x-4)² has become the range of [tex]\sqrt{x}\:+\:4[/tex] and the range of (x-4)² has become the domain of [tex]\sqrt{x}\:+\:4[/tex]
Raymond has saved $50, and Felicia has saved $30. Each week, Felicia saves $15 and Raymond saves $10.
The following is true:
n=the number of weeks
R= the amount Raymond saves
F=the amount Felicia saves
Create equations to represent how much Raymond and Felicia will save after n weeks.
Answers
Answer:
50+10n for Raymond and 30+15n for Felicia
Step-by-step explanation:
N is for the amount of weeks times the amount saved per week then add the amount saved in the beginning.
A bathtub is filled with 38 1/2 gallons of water. If 2 3/5 gallens splash out, how much water is left in the tub
Answers
Answer: 35.9
Step-by-step explanation:
Answer:
The answer would be 35 9/10 gallons of water left.
−t+(5−t) 3; when t=3
Answers
Answer: 3
Step-by-step explanation:
t=3
−t+(5−t) 3=
−t+(5−t)*3=
−t+3(5−t)=
−3+3(5−3)=
-3+15-9=
12-9=3
Hence, the answer is 3.
Answer:
Given t = 3,
[tex]\sf -t + (5 - t) * 3\\-3 + (5 - 3) * 3\\5 - 3\\= 2\\= -3 + 2\\= 1\\= 1 * 3\\= 3[/tex]
Therefore, your answer is 3.
Given that quadrilateral PQRS~ quadrilateral TUVW, write a proportion to find the length of PS. U P X S 35 R 20 25 W T 15
Answers
Answer:
x = 21
Step-by-step explanation:
As the quadrilaterals are similar, their corresponding sides will be in the same proportion.
PS ~ TW and SR ~ WV
[tex]\sf \dfrac{PS}{SR} = \dfrac{TW}{WV}\\\\\dfrac{x}{35}=\dfrac{15}{25}\\\\ x = \dfrac{15}{25}*35\\\\ x = 3*7\\\\x = 21[/tex]
The diagonal of a Square is seven root feet what is the perimeter of the square?
Answers
Answer:
49
Step-by-step explanation:
Answer:
the diagonal of a square is seven root feet
√2a=√7 a=√7/2 perimeter =
Step-b
y-step explanation:
For the function g(x) = x6, if the domain of x is R, what is the range of g (x)?
Answers
the range of the function g(x) = x^6 is: R: [0, ∞)
What is the range of the function?
Here we have the function:
g(x) = x^6
First, notice that we have an even exponent. This means that the outcome of the function will always be a positive number, then the minimum of the range is:
g(0) = 0^6 = 6
And we don't have a maximum, the function tends to positive infinity in both ends (as x → -∞ and as x → ∞).
So the range is: R: [0, ∞)
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which variable is the dependent variable gas or miles
Answers
Answer:
Gallons of gas
Step-by-step explanation:
1. A 5 pound bag of dog treats cost $15.80. What is the uni
cost of the dog treats per pound?
Answers
Answer: $3.16 per pound
Step-by-step explanation:
$15.8/5=$3.16 per pound
Help please asap!!!!
Answers
A, perpendicular line
ESTIMATE CUBE ROOTS
Which two integers is
3 v12 between?
Answers
Answer:
between 2 and
Step-by-step explanation:
Answer:
between
2 and
Step-by-step explanation:
The equation of the line that goes through the point (2,2) and is parallel to the line going through the points (-1,6) and (1,5) can be written in the form y=mx+b where m is what and b is what?
Answers
Answer:
m = -1/2b = 3Step-by-step explanation:
You want the slope-intercept equation of the line through (2, 2) and parallel to the line through (-1, 6) and (1, 5).
SlopeThe parallel line will have the same slope. The slope is given by the equation ...
m = (y2 -y1)/(x2 -x1)
m = (5 -6)/(1 -(-1))
m = -1/2
InterceptWe need to find the y-intercept of the desired line. Solving the equation for "b", we get ...
y = mx +b
b = y -mx . . . . . . . subtract mx to find b
b = 2 -(-1/2)(2) . . . . use m=-1/2 and (x, y) = (2, 2)
b = 2 +1
b = 3
The equation we want is ...
y = -1/2x +3
Two integers c and d have a product of -6 what is the greatest possible sum?
Answers
The greatest possible sum for the two integers ( c and d) is 1.
Number Classification Whole Numbers - They are the numbers represented by positive real numbers where the fractions and decimal numbers are not included. Integer Numbers - They are the whole numbers. They are represented by zero, positive and negative numbers.Opposite numbers - They are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).The question gives:
c and d ar integers;c*d = -6The possible values for c and d for a product equals -6 are:
option 1 c= -2 and d= 3option 2 c= -3 and d= 2option 3 c= 2 and d= -3option 4 c= 3 and d= -2Now you should sum the possible values of c and d for each option.
option 1 c= -2 and d= 3 -> -2+3 = 1option 2 c= -3 and d= 2-> -3+2 = - 1option 3 c= 2 and d= -3-> 2-3 = -1option 4 c= 3 and d= -2-> 3-2 = 1Read more about number classifications here:
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The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10.
. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answers
Answer: The height of the water was 2 inches before any water was added.
What is the image of the point (-10, 6) after a 90 degree counterclockwise
rotation?
Answers
After a 90-degree counterclockwise rotation of the point (-10, 6); the image point will be (- 6, - 10) .
As we all know, when a point ( x, y ) rotates counterclockwise, then the new coordinates of the given point are ( -y, x ).
Here the given point is (-10, 6) , where x = -10 and y = 6 ; as we know after rotation new x will be -6 and new y will be -10 .
So, after rotation the new coordinates will be ( -6 , -10 ) .
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Question 4 of 10
One spring, a group of students measured rainfall totals at their school. This
chart shows how many inches of rain the students measured each month.
How much total rainfall did they receive at their school that spring?
MONTH
March
April
May
Subtracting Decimals in Word Problems
RAINFALL
1.1
4.1
6.1
Answers
Answer:
11.3
Step-by-step explanation:
1.1 + 4.1 = 5.2
5.2 + 6.1 = 11.3
After a 60% reduction, you purchase a new sofa on sale for $280. What was the original price of the sofa?
Answers
The original price of the Sofa is $620
How to calculate the original price ?The original price is reduced by 60%
After this reduction the price reduced to $280
Therefore the original price can be calculated as follows
The first step is to subtract 60% from 100%
= 100-60
= 40%
The original price can be calculated as follows
280 × 100/40
= 28,000/40
= 700
Hence the original price of the sofa is $700
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Dominic is making meatballs. He uses 3/4 cup of breadcrumbs for every 1 1/4 pounds of ground beef. How many cups of breadcrumbs does he need when he uses 1 3/4 pounds of ground beef?
Answers
In proportion , [tex]1\frac{3}{4}[/tex] pound of ground beef requires [tex]1\frac{1}{20}[/tex] cup of breadcrumbs.
What in mathematics is a proportion?
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)It is given that Dominic uses 3/4 cups of breadcrumbs for every [tex]1\frac{1}{4}[/tex] pounds of ground beef. Therefore for 1 pound of ground beef he will required .
[tex]1\frac{1}{4}[/tex] → 3/4
5/4 → 3/4
1 → 12/20
1 → 3/5 cups of breadcrumbs
Therefore, Dominic need 3/5 cups of breadcrumbs when he uses 1 pound of ground beef.
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simplify the expression (x-2) (3x4)
Answers
explanation: Re-order terms so constants are on the left
(
x
−
2
)
⋅
3
x
4
(
−
2
)
⋅
3
4
3
(
x
−
2
)
x
4
3
(
−
2
)
4
15 Points help ASAP!!!
v Simplify This equation v
6 ⋅ 7 - 3^2 ⋅ 9+4^3
Answers
Answer42 - 2197
Step-by-step explanation:
Question 4 of 18
What is the third quartile of the set of data shown below?
26, 34, 38, 49, 65, 75, 81
A. 49
B. 81
C. 75
D. 65
Answers
The third quartile of the date is Q₃=75
What is Quartile in Maths.?The numbers known as quartiles are used to divide the provided data set into four equal portions, or three points. Thus, the values that split the provided data into three quarters are known as quartiles. The center point of distribution is shown by the middle portion of the quartiles. The interquartile range is determined by the difference between the higher and lower quartiles so established.
Data 26, 34, 38, 49, 65, 75, 81
First arrange the data from smallest to greatest
26, 34, 38, 49, 65, 75, 81
Then find the median of the data,
Since, the data is in odd numbers median is mid term i.e. 49.
To find the third quartile we take the upper half of data
Upper half of data set, 65, 75, 81
Third quartile is the median of the upper half of the data.
Median of upper half is
Q3 = (n+1)th
Q3 =(3+1)th
Q3 = 2th term
Q3 = 75term
Therefore, The third quartile is Q3 = 75term
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The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels
since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005,
the figure was 374 parts per million. Find the increase in carbon dioxide levels and the percent of increase.
Round to the nearest tenth of a percent.
Increase carbon dioxide levels:
Percent increase:
196
Submit Question
parts per million
Question Help: Video Message instructor
Answers
Answer: The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005, the figure was 383 parts per million.
Step-by-step explanation: