If the radius is doubled, then the area of one base of a cylinder quadrupled and the equation is:
[tex]\boxed{A_{b1}=4\pi r^2}[/tex]
Explanation:
The surface area of a solid is the total area of its outer surface. For a cylinder whose radius of its circular base is [tex]r[/tex], and height [tex]h[/tex], then the surface area (S) can be calculated as:
[tex]S=\text{Surface area of base 1}+\text{Surface area of base 2}+\text{Surface area of the side} \\ \\ S=A_{b1}+A_{b2}+A{s} \\ \\ S=\pi r^{2}+\pi r^{2}+2\pi rh \\ \\ S=2\pi r^{2}+2\pi rh \\ \\ \\ Because: \\ \\ \text{Surface area of base 1}=\text{Surface area of base 2} \\ \\ \\ Where: \\ \\ A_{b1}:\text{Surface area of base 1} \\ \\ A_{b2}:\text{Surface area of base 2} \\ \\ A_{s}:\text{Surface area of the side}[/tex]
So, if the radius is doubled then the area of one base is:
[tex]A_{b1}=\pi (2r)^{2} \\ \\ A_{b1}=\pi (4r^2) \\ \\ \boxed{A_{b1}=4\pi r^2}[/tex]
Which of the following lists of ordered pairs is a function?
O A. (2, 4), (3,9), (4,16), (5,25)
O B. (2,4),(-2, 4), (3, 9), (-2,-4)
O c. (1, 1), (2, 3), (1,5), (4,7)
O D. (0, 2), (4,2), (0, -4), (4, -2)
SUBMIT
Answer:
c
Step-by-step explanation:
because c is in ordered pair
A student found the MAD of the data shown. What was
the student's error?
When calculating the mean, the student divided the
sum by the wrong number.
When calculating the MAD, the student divided the
sum by the wrong number.
When calculating the distances to the mean, the
student forgot to take the absolute values.
O When calculating the MAD, the student forgot to
take the absolute value of the result.
Answer: C: When calculating the distances to the mean, the student forgot to take the absolute values.
Step-by-step explanation: I just did the question
Answer:
the answer is c, ''When calculating the distances to the mean, the student forgot to take the absolute values.''
Step-by-step explanation:
i got it right on edg.
I will give you a Brainly crown if it is right. Will you help me!! Just because I click six does not mean it is six
Answer:
Choice b is correct.
Step-by-step explanation:
When a positive number, and a negative number are multiplied or divided, the quotient or sum is always negative. Hope this helps.
bru How many solutions does 3x + 15 = 3 (x + 15)
Answer:
No Solutions
Step-by-step explanation:
Step 1: Distribute
[tex]3x + 15 = 3(x + 15)[/tex]
[tex]3x + 15 = 3x + 45[/tex]
Step 2: Subtract 3x from both sides
[tex]3x + 15 - 3x = 3x + 45 - 3x-1[/tex]
[tex]15 \neq 45[/tex]
Answer: No Solutions
Solve the equation 3 x - 2/4 - 2 x - 5/3 = 1 + x / 6
Answer:
19/5 = 3,8
Step-by-step explanation:
x - 13/6 = 1 + x/6
6x - 13 = 6 + x
5x = 19
x = 19/5 = 3,8
Answer: x= 19/5
Step-by-step explanation:
PLZ HELP!!! Kyle shoots an arrow during an archery lesson at camp. The height of the arrow can be modeled by the equation h = −4t(4t − 12), where h is the height in feet of the arrow and t is the time in seconds. How long is the arrow in the air? The arrow is in the air for ____ second(s).
Answer:
32t
Step-by-step explanation:
(-4t x 4t) + (-4t x 12)
= -16t + (-4t x 12)
= -16t+48t
= 32t
Choose the most accurate statement based on the graph shown below.
A.) The graph is a good representation of the data.
B.) The graph is misleading because it uses 3-dimensional bars.
C.) The graph is misleading because the vertical range is too small creating the impression that differences are greater than they actually are.
Answer: A). The graph is a good representation of the data
Step-by-step explanation: The graph clearly represents that data, and it gets the point through. The graph is 3D, yet it clearly adds up to the lines therefore it is not misleading that way.
The vertical range seems fine to me, and I don't see how it being too small could create the impression that the distances are greater then they actually are.
I know its not B, because I did this question a couple minutes ago. Therefore there is nothing really misleading about this graph.
Answer:
doing the test now, it's "the graph is a good representation of the data"
Step-by-step explanation:
once, again i'm doing the test right now
Pleasee I need help before 4:00 pm (10 points)
Answer:
-5x -8y = -5
Step-by-step explanation:
4x-4y = -2
-9x -4y = -3
--------------------
-5x -8y = -5
Answer:
-5x-(-8y=-5
Step-by-step explanation:
A. 2 1/6
B. 2 2/3
C. 2 5/6
D. 2 7/6
36x+32=32x-36
whats the value of x
Answer:
[tex]x = -17[/tex]
Step-by-step explanation:
Step 1: Subtract 32x from both sides
[tex]36x + 32 - 32x = 32x - 36 - 32x[/tex]
[tex]4x + 32 = -36[/tex]
Step 2: Subtract 32 from both sides
[tex]4x + 32 - 32 = -36 - 32[/tex]
[tex]4x = -68[/tex]
Step 3: Divide both sides by 4
[tex]4x / 4 = -68 / 4[/tex]
[tex]x = -17[/tex]
Answer: [tex]x = -17[/tex]
What is the slope of y=17x
Answer:
17
Step-by-step explanation:
y=mx+b
m is always the slope. In this m is 17.
The slope is the tangent of the curve thus the slope of y = 17x will be 17.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope could be positive or negative.
A linear equation or function is given as ;
y = mx + b
Here, m is the slope.
At x = 0 ⇒ y = b so it will be a y-intercept.
By comparing y = 17x
m = 17
Hence "The slope of the given line will be 17".
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pls help. . . . . . .. . . . . . . . . .. .
Answer:
b
Step-by-step explanation:
Answer:
1,536 [tex]in^{3}[/tex]
Step-by-step explanation:
You multiply the length, width, and depth to get the volume. [tex]12 * 8 * 16= 1536 in^{3}[/tex]
Find all of the polar coordinates of point P if P =
Answer:
B is the correct answer
Help me with this pls??
Answer:
36.7
Step-by-step explanation:
Divide it into 2 shapes: the cylinder and the cone
The volume of the cylinder is 1^2 * (13-2) * pi = 11pi
The volume of the cone is 1^2 * 2 * 1/3 * pi = 2/3 pi
11pi + 2/3pi = 11 2/3 pi
11 2/3 pi is approx. 36.7
Help me part a and B
Given:
Funnel is in the shape of a cone.
Radius = 4 inches
Height = 10 inches
To find:
a) The volume of the funnel
b) How many quarts of oil are in the funnel.
Solution:
Volume of cone:
[tex]$V=\frac{1}{3}\pi r^2 h[/tex]
[tex]$V=\frac{1}{3}\times 3.14 \times 4^2 \times 10[/tex]
[tex]$V=167.47[/tex] in³
The volume of the funnel is 167.47 in³.
1 qt ≈ 58 in³
To convert cubic inch to quarts divide by 58.
[tex]$167.47in^3=\frac{167.47}{58}[/tex]
= 2.9 quarts
Therefore 2.9 quarts of oil are in the funnel.
A float in a parade may use as many tulipstulips as a florist sells in 9 years. If t is the number of tulipstulips a florist sells in 1 year, write an algebraic expression to represent the number of tulipstulips a float in the parade may use
Answer:
9t
Step-by-step explanation:
In a case whereby A float in a parade may use as many tulipstulips as a florist sells in 9 years. If t is the number of tulipstulips a florist sells in 1 year, algebraic expression to represent the number of tulipstulips is 9t
What is algebraic expression?Any mathematical statement that consists of numbers, variables, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the formula 4m + 5 consists of the words 4m and 5, as well as the variable m, which is divided by the arithmetic symbol +.
Based on the provided information from the question;
Time = 9 years.
t= number of tulipstulips a florist sells in 1 year,
algebraic expression = 9t
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multiply the fraction 4/5 × 5/6 simplify answer
Answer:
2/3 or 0.6 repeating
Step-by-step explanation:
Cross multiply
(4/5) * (5/6)
0.666666666 (2/3)
In the equation y=a(x-h)^2+k, the "k" translates the parabola in what manner?
Answer:
k is the vertical shift
Step-by-step explanation:
y=a(x-h)^2+k
This gives the parabola in vertex form
(h,k) is the vertex where h is the x coordinate and k is the y coordinate
k is the vertical shift
Which of the following accurately compares minus positive square root of 15 - 105 and five
Answer:
I think it’s ^ 105 is slightly more than 10 so 15-^105 is greater than 5
Step-by-step explanation:
That’s my guess
Answer:
^ 105 is slightly more than 10 so 15-^105 is Less than 5
Step-by-step explanation
I ready math
How to do surface area of a triangular prism
Answer:
651.6
Step-by-step explanation:
surface area = b h + 2 l s + l b
b= base h= height l= length s= side
or
find area of all the parts and add together
Which expression is equivalent to 6(4(6x-4y)-5) ?
Answer:
[tex]144x - 96y - 30[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]6(4(6x - 4y) - 5)[/tex]
[tex]6((4 * 6x) + (4 * -4y) - 5)[/tex]
[tex]6(24x - 16y - 5)[/tex]
Step 2: Distribute again
[tex](6 * 24x) + (6 * -16y) + (6 * -5)[/tex]
[tex]144x - 96y - 30[/tex]
Answer: [tex]144x - 96y - 30[/tex]
Estimate the perimeter of the figure
Answer:
18 units
Step-by-step explanation:
If each square on the graph equals one unit then you can count the amount of times the line takes up the length of one square.
What is the G.C.F of 36 and 18? *
Hope this will help u...:)
This means that √31 is between
Answer:
5 and 6
Step-by-step explanation:
it would be about 5.7 because the square root of 5 is 25 and the square root of 6 is 36
Solve the system of equations:
2x - 3y = 23
x + 3y = -20
Hope this will help u..
Look at the attached picture...⤴⤴
Answer:
x=23/2+3y/2
Step-by-step explanation:
Evaluate the expression
[6+9 x (4-2)] ÷ 4+2
Answer:
8
Step-by-step explanation:
4-2=2
2x9=18
18+6=24
24/4=6
6+2=8
=8
To solve the expression [6+9 x (4-2)] ÷ 4+2, use the order of operations (PEMDAS), resulting in the answer 8.
The subject of this question is Mathematics and it involves the steps of evaluating the given mathematical expression, [6+9 x (4-2)] ÷ 4+2, which is a task typically encountered in middle school.
To solve this problem, we employ the Order of Operations, which can be remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Solve the expression in the parentheses: 4-2 = 2
Multiply 9 by the result from the parentheses: 9x2 = 18
Add 6 to the product: 6+18 = 24
Divide the sum by 4: 24 ÷ 4 = 6
Add 2: 6+2 = 8
Thus, [6+9x(4-2)] ÷ 4+2 equals 8.
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Sunil took a photo of his puppy. He wants to make different sizes of the photo the original photo is 2 inches by 3 inches can you use scale factors to solve the puzzle
Sunil can use scale factors to resize his photo. By multiplying the original dimensions by the scale factor, he can create photographs of different sizes. A scale factor greater than 1 will expand the photo, while a scale factor less than 1 will reduce its size.
Explanation:Yes, Sunil can definitely use scale factors to make different sizes of the photo. The original dimensions of the photo are 2 inches by 3 inches. A scale factor is a number which scales, or multiplies, some quantity. In this context, the quantity is Sunil's original photo. If Sunil wanted to double the size of his photo, for example, he would use a scale factor of 2. This would make his new photo 4 inches by 6 inches.
Similarly, if he wanted to make his photo smaller, he could use a scale factor of less than 1. For example, a scale factor of 0.5 would result in a photo that is 1 inch by 1.5 inches. This is because 2 inches (width) times 0.5 equals 1 inch, and 3 inches (height) times 0.5 equals 1.5 inches.
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om has four dollars. Bob has three times as much as Tom. Cindy has twice as muchas Bob. How much do they have altogether?
Step-by-step explanation:
4 × 3 = 12 - Tom × Bob
12 × 2 = 24 - Bob × Cindy
4 + 12 + 24 = 40 - Tom + Bob + Cindy
Answer:24
Step-by-step explanation:
Tom: has 4
Bod: 3x4=12
Cindy: 2x12=24
A cube has a net with area 600 in2. How long is an edge of the cube?
Answer : The length of an edge of cube is, 10 inches.
Step-by-step explanation :
The formula used for area of cube is:
Area of cube = [tex]6a^2[/tex]
where,
a = edge
We are given that:
Area of cube = [tex]600in^2[tex]
Now put all the given values in the above formula, we get:
Area of cube = [tex]6a^2[/tex]
[tex]600in^2=6a^2[/tex]
[tex]a=10inches[/tex]
Therefore, the length of an edge of cube is, 10 inches.
Survey 1: A township employee surveys all 118 workers at a shopping mall to learn about the salaries of the workers.
Survey 2: A restaurant employee asks 40 repeat customers if they enjoy the food.
Survey 3: A company randomly selects 100 customers from its database and surveys them to see if they enjoy their product.
Answer:
Step-by-step explanation: survey 1:3
survey 2:2
survey 3:1
Answer:
The answer is
3
2
1
Step-by-step explanation:
I got a right