The surface area of this cylinder is 6.28y? + 2rh square units.
What does a cylinder's smooth surface look like?
A cylinder has a curving surface that unfolds into a rectangle and two flat surfaces that are both circular.
Given:
The surface area of a cylinder = 2ny? + 2rh.
n = 3.14
therefore putting the value of n
we get,
=2 . 3.14 . y? + 2rh
=6.28y? + 2rh
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What is the slope of the line that passes through the points (6, -5)(6,−5) and (6, -4)(6,−4)?
Answer:
Undefined
Step-by-step explanation:
The x-coordinates are ths same, so this is a vertical line. Vertical lines have undefined slope.
PLSSS HELP 20 POINTS I NEED IT BEFORE 12 PM SATURDAY
Graph each parabola and identify the axis of symmetry, focus, and directrix.
2x^2 − 8y=0
For given parabola 2x² - 8y = 0,
the axis of symmetry : y-axis
focus : (0, 1)
directrix : y = -1
In this question, we have been given an equation of parabola 2x² − 8y = 0
We need to graph the parabola and identify the axis of symmetry, focus, and directrix.
2x² - 8y = 0
2x² = 8y
x² = 8y/2
x² = 4y
The graph of the parabola x² = 4y is as shown below.
From this graph, the vertex is (0, 0)
We know that, for a parabola of the form x² = 4ay, the focus is (0, a) and directrix is y = -a
For the parabola x² = 4y, a = 1
So, the focus is (0, 1) and the directrix is y = -1
And the axis of symmetry for the parabola x² = 4y is the y-axis.
Therefore, for given parabola 2x² - 8y = 0,
the axis of symmetry : y-axis
focus : (0, 1)
directrix : y = -1
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Step by step please
Pls help
Answer:
n= -3
Step-by-step explanation:
The solution is attached
Is the following relation a function? x y −1 −2 2 3 3 1 6 −2 a Yes b No
Yes, the provided relation is, indeed, a function. Each x value has just one y value.
In the given table,
x y
-1 -2
2 3
3 1
6 -2
A relationship is a function if each x-value has its y-value.
In the relationship, each x-value has a unique and unique y-value. For example, a value of -1 is -2, a value of 2 is 3, a value of 3 is 1, and a value of 6 is -2.
Although the inclusion of (-1,-2) and (-3) suggests that this is not a one-to-one or infusion function of (6,-2).
As a result, the given relationship is a function. Each x-value has only one y-value.
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CARD #7:
Rectangle BCDE will be dilated by
3
a scale factor of
2°
Gabe says the
rectangle will
be reduced.
Gabi says the
rectangle will
be enlarged.
Gabi is correct to say that the rectangle will be enlarged when it will be dilated by a scale factor of 3/2.
What does the scale factor determine?The image's size will depend on the scale factor, which is used to dilate a mathematical entity (compared to the original object).An expansion happens when the scaling factor's absolute value exceeds one.Compression happens when the scale factor's absolute value falls below one.When the scale factor's absolute value is 1, neither expansion nor compression takes place.As it is given that the rectangle BCDE is dilated by the scale factor of 3/2 which is more than 1, so the rectangle will expand or enlarge.
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The complete question is: "Rectangle BCDE will be dilated by a scale factor of 3/2.
Gabe says the rectangle will be reduced.
Gabi says the rectangle will be enlarged."
3. What is the value of the expression -8-(-3)? -8-(-3) = -8____3 =
Answer:
+
Step-by-step explanation:
[tex]-8-(-3)=-8+3[/tex]
Solve a³ = 11.
Solve c² = 27.
Answer: A: A = 2.2240 B: C = 3
Hope this helped! :)
What is 44 millimeters converted to m
Show that (a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0
Answer:
this equation is always trueStep-by-step explanation:
Show that (a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0
(a−b)⋅(a+b)+(b−c)⋅(b+c)+(−a+c)⋅(a+c)=0
(a^2−b^2)+(b^2−c^2)+(−a^2+c^2)=0
(a^2−c^2)+(−a^2+c^2)=0
0=0
this equation is always true
[tex]\left(a-b\right)\left(a+b\right)+\left(b-c\right)\left(b+c\right)+\left(c-a\right)\left(c+a\right)=0[/tex]
[tex]\left(a-b\right)\left(a+b\right)+\left(b-c\right)\left(b+c\right)+\left(c-a\right)\left(c+a\right)-\left(b-c\right)\left(b+c\right)=0-\left(b-c\right)\left(b+c\right)[/tex]
[tex]\left(a-b\right)\left(a+b\right)+\left(c-a\right)\left(c+a\right)=-\left(b-c\right)\left(b+c\right)[/tex]
[tex]\left(a-b\right)\left(a+b\right)+\left(c-a\right)\left(c+a\right) = a^2-b^2+\left(c-a\right)\left(c+a\right) =a^2-b^2+c^2-a^2 =-b^2+c^2[/tex]
[tex]-\left(b-c\right)\left(b+c\right) =-\left(b^2-c^2\right) =-b^2-\left(-c^2\right) =-b^2+c^2[/tex]
[tex]-b^2+c^2=-b^2+c^2[/tex]
[tex]0=0[/tex]
It is always true because 0=0.
Graph the function f(x)=-3x+1.
Use the line tool and select two points to graph.
+Move Line
Undo
Redo
x Reset
The y-intercept is (0, 1).
Substituting [tex]x=-3[/tex] yields [tex]f(x)=-\frac{1}{3}(-3)+1=2[/tex].
So, draw the line through (0, 1) and (-3, 2).
The equation 270 = f + 6.50(30) represents the cost of printing the shirts at a second printing company. Find the solution to the equation and state what it represents in this situation
The solution to the equation is f = 75.
The initial charge or setup cost is represented by the intercept or f.
What is the slope-intercept function?The linear function is expressed using the slope of the line and the y-intercept in the slope-intercept form. Its form is y = mx+ b where the slope is m and the y-intercept is b.Given equation: 270 = f + 6.50(30)
We must identify the equation's solution and explain what it represents in this situation.
The equation above is written in the form of a slope-intercept function where 6.50 is the gradient or slope of the function and 30 equals the number of shirts. The total cost of printing is 270.
The equation 270 = f + 6.50(30) can be solved as follows:
270 = f + 6.50(30)
⇒ f = 270 - 195 = 75
Therefore, the initial charge or setup cost is represented by the intercept or f. As a result, the setup fee is 65.
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A statement is given below:
"The number of square units in the area of a square is greater than or equal to the number of units in the perimeter of the
square
Which side length of a square provides a counterexample to the given statement?
o 10 units
O 2 units
o 6 units
Previos
The side length of the square that provides a counterexample to the statement square units in the area of a square is greater than or equal to the number of units in the perimeter is 2 Units.
What is a square?A square is a kind of a 2D figure in which all the sides are equal.
We know that the absolute perimeter of a square is the sum of the lengths of all the total sides and as we see the area of a square is (side)².
Assuming that the whole square has four units completed for each side.
The square's circumference can be calculated as is 4 sides plus 4 fours, or as seen as 16 units.
Now the area of the square will be calculated as (4) ² = 16 sq units.
Now assuming that the total side length of the square about is 2 units.
The square's perimeter is calculated as (24) = 8 units, while its total area is calculated as (22) = 4 units.
∴ 2 units make up the side length that serves as a counterexample.
Basically, herein we have to determine the absolute numbers that when are multiplied by 4 are seen to be greater than it's square such numbers are 1, 2, 3.
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2) Ashton left his house and ran 4 miles east and then 3 miles north. He then took the diagnol path back home. If he burned 105 calories every mile that he ran, how many total calories did he burn on his run? (just type in the number value and units)
1,470
Step-by-step explanation:
because if he 4 miles and than 3 miles you would add them and get 7. you would take that 7 and double the 7 and multiply it by 105 cause that's how many calories he burnt each miles he ran then you would get the total of 1470 calories
What is the value of |-3.25| And |-4.25|
The values are |-3.25| = 3.25 and |-4.25| = 4.25
How to determine the values of the expressions?The expressions are given as
|-3.25| and |-4.25|
The above expressions are absolute value expressions
And as a general rule, an absolute value expression, when evaluated must follow the following rule
|±a| = a
Using the above as a guide, we have
|-3.25| = 3.25
Also, we have
|-4.25| = 4.25
Hence, the values of the expressions are |-3.25| = 3.25 and |-4.25| = 4.25
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Maxim raised $290.44 for charity. He divided the amount equally among his ten favorite
charities. How much did each charity receive (round to the nearest cent)?
Answer:
$29
Step-by-step explanation:
First you divide 290.44 by 10 which would equal 29.044, then you would round both 4's down to 0 which would get you $29.
How many miles is 100% of 44 miles?
Answer: 44 miles
Step-by-step explanation: any percentage can be written as a decimal. for example, 50% is 0.50 or 25% is 0.25. in this case, 100 percent is 1.00. now that we know what 100 percent is, we multiply 44 by 1.00(100%). my old math teacher told me that whenever you have something OF something, you multiply them togethor. in other words, of means times. this problem can be written 1.00 times 44.
r(x) = 4x² + 2x - c(x) = 10x + 25
(r-c) (x)
The most appropriate choice for function and subtraction of function will be given by-
(r-c)(x) = [tex]4x^2-8x-25[/tex]
What is function and subtraction of function?
A function from A to B is a rule that assigns to each element of A a unique element of B
A is the domain set and B is the co-domain set.
Subtraction of function
Suppose f(x) and g(x) are two functions. Then
(f - g)(x) = f(x) - g(x)
Here,
r(x) = [tex]4x^2 + 2x[/tex]
c(x) = [tex]10x+25[/tex]
(r-c)(x) = r(x) - c(x) = [tex](4x^2+2x)-(10x +25)[/tex]
= [tex]4x^2+2x -10x-25[/tex]
= [tex]4x^2-8x-25[/tex]
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((50+50+50)*85)*0.9=
Answer:
(150*85)*0.9
=12750*0.9
=11475
Answer:
11475
Step-by-step explanation:
((50+50+50)*85)*0.9=
(150*85)*0.9=
12750*0.9=
11475
Simplify a raised to the negative third power over quantity 2 times b raised to the fourth power end quantity all cubed
Here is the answer
I hope it helped you
The. median, range, and mode for the following numbers:8,7,12,7,11,10,7,12
Answer:
median = 9
range = 5
mode = 7
Step-by-step explanation:
median = 9 is in the middle of 10 and 8
range = 12 - 7
mode = there are 3 7s
Mode : the quantity that appears the most in a sequence
Because 7 is the number that appears the most ( 3 times ), it is the mode.
Range : the difference between the largest number and the smallest number
In this case, 12 is the biggest and 7 is the smallest -> Range = 5.
Median : the "middle number" (for example, if the sequence has 7 numbers, the 4th number will be the median. if the sequence has 8 numbers, the median will be the average of the 4th and 5th number, and of course from increasing order.)
There are 8 numbers in the sequence, from lowest to highest : 7,7,7,8,10,11,12,12.
So, the median = (8+10)/2 = 9.
Ramona wrote 14 letters to friends each month for n months in a row. Write an expression to show how many total letters Ramona wrote.
Answer:
let y represent number of months in a row and
let S represents sum of letters that have been sent in y number of months
This simply means that we can write equation:
14*y = S
For any number of months we express it in equation above and we get total number of letters she wrote.
Answer:
[tex]{ \sf{total = 14n \: \: letters}}[/tex]
. If a number, when divided by 4,is reduced by 21, Find the number
Events A and B are mutually exclusive. Suppose event A occurs with probability 0.23 and event B occurs with probability 0.21.
a. Compute the probability that A occurs but B does not occur.
b. Compute the probability that either A occurs without B occurring or B occurs without A occurring.
Using it's concept, the probabilities for this problem are given as follows:
a) A occurs and B does not: 0.1817 = 18.17%.
b) Either occurs: 0.3434 = 34.34%.
What is a probability?A probability is calculated as the number of desired outcomes in the experiment divided by the number of total outcomes in the experiment.
In the context of this problem, we have two mutually exclusive events, meaning that they cannot happen together.
For item a, we have that:
The probability of A occurring is 0.23.The probability of B not occurring is of 1 - 0.21 = 0.79.The events are mutually exclusive, hence we can multiply the probabilities as follows:
p = 0.23 x 0.79 = 0.1817 = 18.17%.
For item b, we add the probability in item with the probability of B occurring and A not, found as follows:
The probability of B occurring is 0.21.The probability of A not occurring is of 1 - 0.23 = 0.77.Hence:
p = 0.1817 + 0.21 x 0.77 = 0.3434 = 34.34%.
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is the sum rational or irrational drag the labels
The rational sums are:
√16 + (-21/5)
√4 + 5
√36 + ∛27
The irrational sums are:
π + 24
√8 + π
3/4 + √27
What are rational and irrational numbers?Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q≠0). Additionally, an irrational number's decimal expansion neither repeats nor terminates. Terminating and repeating decimals are rational numbers.√16 + (-21/5)
= 4 + (-21/5)
= 4 - (21/5)
= (20 - 21) / 5
= - 1/5
= -0.2
Hence, the sum can be expressed as p/q so it is a rational number.
π + 24
= 3.1428571429 + 24
= 27.1428571429
The sum is non-terminating, so it is an irrational number.
√8 + π
= 2.82842712 + 3.1428571429
= 5.97128426
The sum is non-terminating, so it is an irrational number.
√4 + 5
= 2 + 5
= 7
The sum is an integer so it is a rational number.
√36 + ∛27
= 6 + 3
= 9
The sum is an integer so it is a rational number.
3/4 + √27
= 3/4 + 5.1961524227
= 0.75 + 5.1961524227
= 5.9461524227
The sum is non-repeating so it is an irrational number.
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The complete question is: "The table has a set of expressions representing the sums of rational and irrational numbers. Find each sum, and indicate whether the sum is rational or irrational. Drag the labels to the correct locations on the table. Each label can be used more than once."
Hello is this correct
Answer:
Correct
Step-by-step explanation:
Surface area of a sphere = 4 pi r^2
diameter = 28 then r = 14 ft
4 (pi)(14^2) = 2463 ft^2
looks correct for your value of pi =3.14
0.21 / 1.008. Pls helppp
the volume of a cylinder closed at one end is 2136cm³.. if its height is 14cm, find its diameter
diameter = 13.93771776cm
9x+y=11, -6x-y=-8
solve for x and y using system of elimination
Answer:
3
Step-by-step explanation:
9x+y=11 .....(1)
-6x-y=-8 ....(2)
Add equation 1 to equation 2
-6x+9x -y+y =-8+11
3x=3
Divide both sides by 3
3x/3=3/3
Each box holds 48 pencils. The chart below shows the number of pencils in 1 box and 5 boxes.
Using a proportional relationship, we have that:
The table is completed as follows: x = 4, y = 192; x = 6, y = 288; x = 9; y = 432;6 boxes are not enough for 300 pencils, 7 are needed.What is a direct proportional relationship?A direct proportional relationship is a function in which the output variable is found with the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
From the table in this problem, the constant is given as follows:
k = 240/5 = 48/1 = 48.
Hence the relationship is:
y = 48x.
Then:
When x = 4, y = 48(4) = 192.When x = 6, y = 48(6) = 288.When x = 9, y = 48(9) = 432.For 300 pencils, the number of boxes is given by:
48x = 300
x = 300/48
x = 6.25.
There are not decimal parts of a box, a complete box is needed, hence 7 boxes are needed, meaning that 6 boxes are not enough for 300 pencils.
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f(x) = 4x²-3x, what is the value of f (2) ?
Answer:
Step-by-step explanation: : f(x) = 4x² + 3x – 7f(-2) = 4(-2)²+3(2)-7f(-2) =16+6-7 =32-7 = 25.