To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
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hope it helps
Factor the expression using the GCF. A. 2(4a + 8c) B. 4(2a + 4c) C. 8(a + 2c) D. 16( 12 a + c) Not multiple choice
Note: The expression is missing. Consider the expression is [tex]8a+16c[/tex].
Given:
The expression is
[tex]8a+16c[/tex]
To find:
Factor form of the given expression by using GCF.
Solution:
We have,
[tex]8a+16c[/tex]
Factors of each term:
[tex]8a=2\times 2\times 2\times a[/tex]
[tex]16c=2\times 2\times 2\times 2\times c[/tex]
The common factors are 2, 2 and 2. So,
[tex]GCF(8a+16c)=2\times 2\times 2[/tex]
[tex]GCF(8a+16c)=8[/tex]
Taking out the greater common factor (GCF) in the given expression, we get
[tex]8a+16c=8(a+2c)[/tex]
Therefore, the required expression is [tex]8(a+2c)[/tex] and the correct option is C.
HELP ME PLEASE!!!! I am failing this class and don’t know what to do.
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We know that line f(x) passes through points (5, 0) and (10, 10)
Then the slope of f(x) is:
a = (10 - 0)/(10 - 5) = 10/5 = 2
then:
f(x) = 2*x + b
again, knowing that f(10) = 10 (because this line passes through point (10, 10) )
10 = 2*10 + b
10 = 20 + b
10 - 20 = b = -10
Then the equation of this line is:
f(x) = 2*x - 10
Now for g(x) we know that it passes through (-3, 0) and (2, 10)
then the slope is:
a = (10 - 0)/(2 - (-3)) = 10/5 = 2
g(x) = 2*x + b
And knowing that g(2) = 10 (because this line passes through point (2, 10) )
10 = 2*2 + b
10 = 4 + b
10 - 4 = b
6 = b
then:
g(x) = 2*x + 6
Then the equations are:
f(x) = 2*x - 10
g(x) = 2*x + 6
A) One transformation may be a vertical translation, and the other can be a horizontal translation.
This is a vertical translation, which is defined as:
For a function f(x), a vertical translation of k units is written as:
g(x) = f(x) + k
If k is positive, the translation is upwards
if k is negative, the translation is downwards.
And an horizontal translation of k units is written as:
g(x) = f(x - k)
if k is positive, the translation is to the right
if k is negative, the translation is to the left.
B)
For the vertical translation we have:
g(x) = f(x) + k
2*x + 6 = 2*x - 10 + k
6 = -10 + k
6 + 10 = k
16 = k
For the horizontal translation we have:
g(x) = f(x - k)
2*x + 6 = 2*(x - k) - 10
2*x + 6 = 2*x - 2*k - 10
6 = -2*k - 10
6 + 10 = -2*k
16 = -2*k
16/-2 = k
-8 = k
C)
The transformations are:
g(x) = f(x) + 16
or
g(x) = f(x - (-8))
The area of a triangle is 36 sq cm. The triangle's height is 8 cm. What is the length of the base of the triangle?
Answer:
9 cm
Step-by-step explanation:
Given :
Area, A = 36cm²
Height, h = 8cm
Using the relation :
Area, A of triangle :
A = 1/2 * base * height
36 = 0.5 * base * 8
36 = 4 * base
base = 36 / 4
Base = 9 cm
Length of base is 9cm
HELP PLEASE
!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
It outlines all the data and its relations correctly and flows the best out of all of them.
Whích type of transformation is shown here?
A)
dilation
B)
reflection
rotation
D)
translation
E)
refraction
Answer:B.rotation
Step-by-step explanation:
1.X + 1 3/7 = 4 5/7 Use either method that was
taught.
Answer:
32/7
Step-by-step explanation:
Hannah decided to curl up and read a good book. She started reading at 10:00 a.m. and
finished reading at 11:43 a.m. How much time did she spend reading? (SHOW YOUR WORK PLEASE!! I WILL GIVE BRAINLIEST TO BEST ANSWER WITH EXPLANATION BUT I NEED 2 PEOPLE TO ANSWER TO DO THIS)
Answer:
1 hour and 43 minutes or 103 minutes
Step-by-step explanation:
There are 60 minutes in an hour, so from 10 am to 11 am is 60 minutes. The additional 43 minutes need to be combined with the 60 minutes, which will give you 103 minutes.
Answer:
1 hour and 43 minutes
Step-by-step explanation:
10:00am+ 1 hour = 11:00 am
11:00 am + 43 minutes = 11:43
Hope this helped!! :3
Jason a 4 lengths of rope. The lengths are 3 inches, 15 centimeters, 0.3 meters, and 0.5 feet. About how much rope does Jason have [1 inch = 2.5 cm]
Answer: 67.5 cm
Step-by-step explanation:
Jason has 4 lengths of ropes
first is [tex]3\ in.\approx 7.5\ cm[/tex]
second is [tex]15\ cm[/tex]
Third is [tex]0.3\ m\approx 30\ cm\quad [\text{1 m = 100 cm}][/tex]
fourth is [tex]0.5\ ft\approx 6\ in.\approx 15\ cm\quad [\text{1 ft=12 in.}][/tex]
the total length of rope is the sum of four lengths
[tex]\Rightarrow 7.5+15+30+15=67.5\ cm[/tex]
Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please
Answer:
20 gallons
Step-by-step explanation:
Divide 120 miles by 8 to find miles per gallon
120 ÷ 8 = 15 miles per gallon
Now divide 300 miles by 15 to find number of gallons required
300 ÷ 15 = 20
20 gallons are required for a journey of 300 miles
factor the polynomial
4x^2 + 12 + 9
Answer:
The answer is [tex](2x+3)^2[/tex].
Step-by-step explanation:
Multiply the coefficient of the squared term and the constant. Then, find the factors that add up to 12:
[tex]4*9=36\\36:\{1*36,2*18,3*12,4*9,6*6\}\\6+6=12[/tex]
Split the middle term:
[tex]4x^2+6x+6x+9[/tex]
Factor by grouping:
[tex][4x^2+6x]+[6x+9]\\2x(2x+3)+3(2x+3)\\(2x+3)(2x+3)\\(2x+3)^2[/tex]
21
4 points
A scale model of a boat is 28 inches long and 8 inches wide.
If the actual boat is 35 feet long, how wide is it?
.........................................help
can someone please help me to do this?
Answer:
78654 we 5678 Write a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation isWrite a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation is Write a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation is Write a positive or negative integer that represents the situation.
The temperature falls 14 degrees.
An integer that represents the situation is
Step-by-step explanation:
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answer:
a is equal to 0
Answer: A is equal to 0
Anything’s you time by 0 you get 0 remember that
Step-by-step explanation:
0 and 0.1*0=0 and 0.01*0=0 so 0=0
An election was held between two persons to select a representative to a certain
institution. All the voters who were registered cast their votes. The winner
received 7/12 of the votes and
won by a majority of 120 votes.
(i) What fraction of the total votes did the person who lost receive?
(ii) How many registered voters were there?
(iii) Find the number of votes the winner received.
9514 1404 393
Answer:
(i) 5/12
(ii) 720
(iii) 420
Step-by-step explanation:
(i) The fraction representing all votes is 12/12. If 7/12 were received by the winner, then the loser received 12/12 -7/12 = 5/12 of the total votes.
The person who lost received 5/12 of the total votes.
__
(ii) The winner won by 7/12 -5/12 = 2/12 = 1/6 of all votes. So, the total number of votes is ...
120 votes = 1/6(total votes)
total votes = 6×120 votes = 720 votes
There were 720 registered voters.
__
(iii) The winner received ...
(7/12)(720 votes) = 420 votes . . . received by the winner
Does anyone know what the rule for the 2 and 3 table could be
Answer:
table 2= could be multiply each of the numbers by 4
table three= plug the x value in the equation and the y into the equation and then just solve it and make sure you add eight before you put your answer in.
Step-by-step explanation:
Urgent!!!
set whether each of the following equations represents a growth or decay
1. f(x)= 3[tex]^{x}[/tex]
2.f(x) = (0.25)[tex]x^{x}[/tex]
3.f(x)= [tex]\frac{2}{3x^{x} }[/tex]
4.f(x) =[tex]\frac{3}{2} x^{x}[/tex]
Answer:
Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.
A general exponential equation can be written as:
f(x) = A*(r)^x
Where A is the initial value, r is the rate of growth, and x is our variable.
If r > 1, the function represents a growth.
if 0 < r < 1, the function represents a decay.
1) f(x) = 3^x
Here we have r = 3
This is clearly larger than 1, then this function represents a growth.
2) f(x) = (0.25)^x
Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.
3) f(x) = (2/3)^x
here we have r = 2/3 = 0.66
This is larger than zero and smaller than 1, then this function represents a decay.
4) f(x) = (3/2)^x
Here we have r = 3/2 = 1.5
This is larger than 1, then this function represents a growth,
Help!!! State whether you agree with each of the following statements.
1. A temperature of 35 degrees Fahrenheit is as cold as a temperature of
-35 degrees Fahrenheit.
Agree
Disagree
Answer:
Step-by-step explanation:
Not true. A temperature of 35 degrees is 70 degrees higher than -35 degrees Fahrenheit.
What percentage of the data values falls between the values of 27 and 45 in the data shown
Answer:
Option C. 75% will be your answer
Step-by-step explanation:
hope it helps you
pls help 30 pts.... answer correctly pls
55 points
2. Sammy throws a drawing pin 200 times and records how it lands
Pin up 160
Pin down 40
a. What is the probability the pin will land i) pin up? ii) pin down
b. How many pin ups would you expect if the pin was thrown i) 80 times ii)320 times iii) 400 times iv)1000 times
Answer:
160:40 or 160 to 40, 80:320 or 80 to 320, 400:1000 or 400 to 1000
Step-by-step explanation:
Help plsss
Find Perimeter
Answer:
Step-by-step explanation:
10+10=20
8+8 = 16
36 is perimeter of the rectangle
diameter of half circle is 8
formula for circumference of a circle is r π = 8 x 3.14
8 x 3.14 = 25.12 but your not done yet its a half circle so divide by 2
25.12/2 = 12.56
12.56 + 36 = 48.56 is final answer
give me brainliest
How many edges does a cube has?
A. 10
B. 12
C. 14
D. 16
Answer:
Hellooo
ur answer is B. 12
Step-by-step explanation:
hope it helps.. thanks
pls consider brainliest
A cube has 12 edges and 6 faces
Which expression is equivalent to: (5⁹ × 5⁻⁷)⁻² ?
Answer:
(6^4 x 2^-9)
Step-by-step explanation:
PLEASE HELP ASAPPPPPP!!!!!!!!!!!!
Answer:
324
Step-by-step explanation:
divide 752 by 2 to get 376
then subtract 52 from 376 to get 324
Factor polynomial by its greatest common monomial factor
you roll die that is number 1 to 6. what is the probability that you will roll a 3 or 5?
Answer:
the probibiltiy that your roll 3 is 1/6 and 5 is 1/6 that is sepreate if its both together it is i belive 2/6
Step-by-step explanation:
Which value of x makes the equation 1.75(5x − 10) = 10.5 true?
A. -3.2
B. 0.5
C. -0.5
D. 3.2
Algebra
Answer:
Answer is D) 3.2
Have a nice day!
Set up the proportion and solve for x. Show ALL work and box your answer
Set up proportion and solve for x... HELP ASAP?!?!!!! Plzzzzz
Answer:
x = 6
Step-by-step explanation:
Love proportions!
3x+2(x+6) = 35(21)
21(3x+2) = 35(x+6)
63x + 42 = 35x + 210
28x = 168
x = 6