Answer:
Here we have the function:
y = f(x) = 3^x
Using the values:
x and (x + 1)
We need to find that the y-value increases by a factor of 3.
So we need to prove that:
f(x + 1) = 3*f(x).
Or we can see the quotient:
f(x + 1)/f(x) = 3
Here we can find the values:
f(x + 1) = y = 3^(x + 1)
f(x) = y' = 3^x
If we take the quotient, we get:
[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x}[/tex]
Here we can use the properties:
[tex]a^n*a^m = a^{n + m}[/tex]
[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]
Using these in the quotient equation we get:
[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x} = \frac{3^x*3^1}{3^x} = \frac{3^x}{3^x}*3 = 1*3 = 3[/tex]
Then:
[tex]\frac{f(x + 1)}{f(x)} = 3[/tex]
[tex]f(x + 1) = 3*f(x)[/tex]
So we found that the y-value increases by a factor of 3 between any two points x₂ and x₁ such that: x₂ - x₁ = 1.
8 x 9 = 8 x(5+ _)
= (8 x 5) + (8 x _)
= 40 + _
= _
Answer:
B
Step-by-step explanation:
i hate math
3)
1
Find the slope of a line parallel to y = 2x +3.
A)
-2
B)
1
2
C)
1
2
2
Answer:
1/2
Step-by-step explanation:
Parallel lines always have the same slope
HELPP
Simplify: (x^3y^-3/ x^2y) ^-3
Answer:
A i the answer
Step-by-step explanation:
I am very confused- Can someone help within an hour-
Determine the center and radius of the following circle equation:
+ y2 – 123 + 8y – 48 = 0
Answer:
it's 10
Step-by-step explanation:
don't know the steps
please and thank you , 10 points
Find the volume and surface area of the composite figure shown below if the figure is built with unit cubes.
Answer:
the volume is 18 and the surface area is 46
Step-by-step explanation:
The volume of the cube will be and the surface area of the cube will be square units.
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane. The volume of the cube will be calculated by multiplying all three sides of the cube.
The volume will be calculated as below:-
The formula to calculate the volume = l x w x h
The volume of the first part = 2 x 2 x 3 = 12 cubic units
The volume of the Second part = 2 x 2 x 1 = 4 cubic units
The volume of the third part = 2 x 1 x 1 = 2
Total volume of the cube = 12 + 4 + 2 = 18 cubic units.
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The surface area will be calculated as below:-
Surface area of the base = 2 ( 4 x 2) + 2( 2x 1) + 2 ( 4x 1) = 28
Surface area of the middle = 2 ( 3 x 2 ) + 2 ( 2 x 1 ) + 2 ( 3 x 1) = 22
Surface area of the upper side = 2 ( 2 x 2) +2 ( 1 x 2 ) + 2 ( 1 x 2) = 16
The total surface area is calculated as below:-
Total = 28 + 22 + 16 = 66 square units.
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Here is the histogram of a data distribution.
What is the shape of this distribution?
A. Bimodal symmetric
B. Uniform
c. Unimodal symmetric
D. Bimodal skewed
E. Unimodal skewed
Answer:
Uniform
Step-by-step explanation:
We don't have any peaks in the histogram, so its neither unimodal or bimodal leaving only uniform as the answer.
The shape of this distribution, histogram is Unimodal skewed type. The correct option is E.
What is histogram?A histogram represents the graphical representation of the distribution of data. The histogram is indicated by using a set of rectangles adjacent to each other where each bar represent a kind of data. The histogram doesn't involve any gaps between the two successive bars.
The histogram would be classified into different types based on the frequency distribution of the data.
Based on the direction of the tail, the skewed distribution may be either right-skewed or left skewed.
Since skewed distribution is asymmetrical as a limit which is natural resists end results on one side.
Threfore, the correct option is E.
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50 PTS!!!!
PLEASE LOOK AT THE SCREENSHOT AND ANSWER:
Which kind of model best describes this set of data?
Answer:
that is the correct answer
what is [tex]\frac{69}{100}[/tex] in simplest form?
One bow requires 3.2 inches of ribbon. How many
bows can be made from 304 inches of ribbon?
Answer:
95
Step-by-step explanation:
304/3.2 = 95
Answer:
4
Step-by-step explanation:First, we convert feet into inches. A foot equals 12 inches so 3 feet equal 36 inches. Then, we divide by 8. 36/8 = 4.5, and we can say that 4 bows can be made.
What is an equation of a line that has the points (2, 4) and (-3, 5)?
Answer:
y= -1/5x+4.4
Step-by-step explanation:
this is written in slop-intercept form
Answer:
y=-1/5x+4.4
Step-by-step explanation:
The answer is the answer above
A school has 840 pupils and 40 teachers.
Find the ratio of the number of pupils to the number of teachers.
Give your ratio in the form n : 1.
Answer:
21:1
Step-by-step explanation:
840/40 = 21
Every teacher has 21 atusents
For every 21 stutent theare is 1 teacher
40 teachers .Every teacher 21 students 40 x 21 = 840
Which of the following pairs of events are disjoint (mutually exclusive)?
a) A: odd numbers; B: the number 5
b) A: even numbers; B: numbers greater than 10
c)A: numbers less than 5; B: all negative numbers
d)A: numbers above 100; B: numbers less than -200
Answer:
d
Step-by-step explanation:
d because there are no numbers common to both sets
Disjoint sets are those sets that have no common values between the sets.
A: numbers above 100; B: numbers less than -200 is a disjoint set.
Option D is the correct answer.
What is a set?A set is a collection of items where there are operations such as:
Union of sets, the intersection of sets, complements of sets.
We have,
Disjoint sets are those sets that have no common values between the sets.
a) A: odd numbers; B: the number 5
Set A = {1, 3, 5, 7, 9,.....}
Set B = {5}
A ∩ B = {5}
This is not a disjoint set.
b) A: even numbers; B: numbers greater than 10
A = {2, 4, 6, 8, 10, , , }
B = {11, 12, 13, 14, 15, 16, 18,,,,,}
A ∩ B = {12, 14, 16, 18,,,}
This is not a disjoint set.
c) A: numbers less than 5; B: all negative numbers
A = {, , ,, -3, -2, -1, 0, 1, 2, 3, 4}
B = {, , , , -3, -2, -1}
A ∩ B = { , , , , -3, -2, -1}
This is not a disjoint set.
d) A: numbers above 100; B: numbers less than -200
A = {101, 102, 103, 104, ,,,,,,}
B = {, , , , -204, -203, -202, -201}
A ∩ B = Ф
There are no common values between set A and set B.
This is a disjoint set.
Thus,
A: numbers above 100; B: numbers less than -200 is a disjoint set.
Option D is the correct answer.
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62X + 310 =
2542 Find X
Answer:
36
Step-by-step explanation:
62x + 310 = 2542
62x = 2232
x = 36
Answer:
36
Step-by-step explanation:
62x + 310 = 2542
Subtract 310 from both sides
62x = 2,232
Then Divide by 62
x = 36
Enjoy.
Please help! I will give Brainliest!
Who is correct?
Answer:
Dylan Is Correct
Step-by-step explanation:
Answer:
Dylan is correct
Step-by-step explanation:
The mean absolute deviation is 46,54,43,57,50,62,78,42
The mean absolute deviation (MAD) of the given set of numbers is 8.75.
What is the mean absolute deviation (MAD)?The mean absolute deviation (MAD) of a group of data points is a statistical metric used to evaluate its dispersion or variability. It indicates how far off the data values are from the mean (average) of the data collection.
Let's calculate the MAD for the given set of numbers: 46, 54, 43, 57, 50, 62, 78, 42.
Calculate the mean:
Mean = (46 + 54 + 43 + 57 + 50 + 62 + 78 + 42) / 8 = 432 / 8 = 54
Find the absolute difference between each number and the mean:
|46 - 54| = 8
|54 - 54| = 0
|43 - 54| = 11
|57 - 54| = 3
|50 - 54| = 4
|62 - 54| = 8
|78 - 54| = 24
|42 - 54| = 12
Calculate the average of these absolute differences:
MAD = (8 + 0 + 11 + 3 + 4 + 8 + 24 + 12) / 8 = 70 / 8 = 8.75
Therefore, the mean absolute deviation (MAD) of the given set of numbers is 8.75.
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Please tell me the answer and help me explain how it’s the right answer
Answer:
Answers = a , c, d, e
Step-by-step explanation:
Absolute value of -8 = 8
Find the absolute values of the other numbers
The other numbers have to be less than 8 or else they are less than -8
Absolute value of 2.6 = 2.6 . 2.6<8
Absolute value of -10 = 10 . 10 >8 . not correct
Absolute value of -2 = 2 . 2<8
Absolute value of 4 = 4 . 4<8
Absolute value of 1/4 = 1/4 . 1/4<8
Absolute value of -8.5 = 8.5 . 8.5>8 . not correct
About Absolute Value:
Absolute value is the distance from 0 on the number line.
The number 5 is 5 units from 0
The number -5 is also 5 units from the 0, except from the opposite side
Absolute value states that negative numbers have a positive absolute value and a positive number has a positive absolute value.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Giving brainlist to whoever answers
.In a survey, 7/20 of the students in fifth
grade said their family buys organic
vegetables. What decimal represents
the portion of students whose families
buy organic vegetables?
Answer:
Road shimmer
Wiggling the vision
Heat heat waves
I'm swimming in a mirror
Road shimmer
Wiggling the vision
Heat heat waves
I'm swimming in a
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out
Can't make you happier now
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out
Can't make you happier now
Usually I put
Something on TV
So we never think
About you and me
But today I see
Our reflections
Clearly in Hollywood
Laying on the screen
You just need a better life than this
You need something I can never give
Fake water all across the road
It's gone now the night has come but
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out…
Find the missing angle.
Round to the nearest tenth.
B = 50°
b = 8
a = 10
A=
Answer: 73.2 degrees
Step-by-step explanation:
Have a great summer
if tanθcscθ = 3, find the value of cosθ
Answer:
1.5
Step-by-step explanation:
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Let's Solve :
[tex] \tan( \theta) \csc(\theta) = 3[/tex][tex] \dfrac{ \sin(\theta) }{ \cos(\theta) } \times \dfrac{1}{ \sin(\theta) } = 3[/tex][tex] \dfrac{1}{ \cos( \theta) } = 3[/tex][tex] \cos(\theta) = \dfrac{1}{3} [/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Ria is 6 years older than her brother. Fourteen years ago, she was twice as old as he was. How old is each now?
Answer
ria is 26 and her brother is 20
Which function has the greater maximum value: f(x) = -2x2 + 8x-1, or g(x),
the function in the graph?
A. Ax)
B. g(x)
C. The functions have the same maximum value.
Answer:
It’s f(x)
Step-by-step explanation:
• Check your work when you're done.
Your Assignment
A bag contains 5 marbles. There are 3 yellow marbles and 2 red marbles.
Suppose that Glen chooses a marble first and then Kris chooses one.
Answer the questions to show the probability that Kris will get a yellow marble if
Glen chooses a yellow one first.
1. What is the probability that Glen will get a yellow marble? Show how you
calculated this probability.
Write your answer in the space below.
i
can someone help? i’ll give brainliest!!
Answer:
Add the numbers that have the same variables and exponents. Hope this helps!
Step-by-step explanation:
Answer:
-3x³ - 4x - 9
Step-by-step explanation:
-5x + x - 6x³ - 4 - 5 + 6x³ - 3x³
-6x³ + 6x³ - 3x³ - 5x + x - 4 - 5
-3x³ - 4x - 9
What value of a would make the graph of f(x) = ax² open up?
Answer:
dont knohfxvggxhb cbbvc
Please help u have till 3:10 pm cst time - Texas
Answer:
1/8 is equal to 0.125
5/8 is equivalent to the other fraction 10/16 and in decimal form it is 0.625
at a fall festival student council sold two types of drinks hot chocolate in apple cider how many cups of apples are sold
Answer:
add a picture so i can see and help
Step-by-step explanation:
Answer:
your questions is completing
Given f(x) = -x + 1, solve for x when f(x) = 0.
Answer:
f(x) = -x + 1
0 = -x + 1
x = 1
Step-by-step explanation:
You put 0 in place of f(x).