Answer:
See the explanation
Step-by-step explanation:
The given function is:
f(x) = 5ˣ
Transformation of a parent function is given by the formula:
g(x) = k · f(x + a) + b
Where
k represents vertical compression if |k| < 1 and k represents vertical stretch of |k| > 1
f(x) shifts left by a units if a>0 and f(x) shift right by a units if a<0
f(x) shift up by b units if b>0 and f(x) shifts down by b units if b<0
In the question it is given:
k = 1/2
Shifts right by 3 units ⇒ a = -3
Shift up by 2 units ⇒ b = 2
Substitute in the formula:
g(x) = (1/2) · f(x - 3) + 2
[tex]g(x) = \frac{1}{2}\cdot5^{x-3}+2[/tex]
Please complete the attached proof. Thanks.
Answer:
Step-by-step explanation:
(08.02 MC)What is the mean absolute deviation for 9, 7, 6, 8, 7, and 5? 1 2 6 7 please answer in one minute please i am marking brainliest
Answer:
[tex]M.A.D = 1[/tex]
Step-by-step explanation:
Given
9, 7, 6, 8, 7, 5
Required
Mean Absolute Deviation
The first step is to calculate the mean of the given data;
[tex]Mean = \frac{\sum{x}}{n}[/tex]
where x = 9, 7, 6, 8, 7, 5 and n = 6
[tex]Mean = \frac{9+ 7+ 6+ 8+ 7+ 5}{6}[/tex]
[tex]Mean = \frac{42}{6}[/tex]
[tex]Mean = 7[/tex]
Subtract mean (7) from each data
[tex]9 - 7 = 2\\7 - 7 = 0\\6 - 7 = -1\\8 - 7 = 1\\7 - 7 = 0\\5 - 7 = -2[/tex]
Return the absolute values of each
[tex]|2| = 2\\|0| = 0\\|-1| = 1\\|1| = 1\\|0| = 0\\|-2| =2[/tex]
Calculate mean of the above absolute values
[tex]Mean = \frac{\sum{x}}{n}[/tex]
[tex]Mean = \frac{2+0+1+1+0+2}{6}[/tex]
[tex]Mean = \frac{6}{6}[/tex]
[tex]Mean = 1[/tex]
Hence, the mean absolute deviation of the given data is 1
Phone company A conducted a study that showed 97% customer satisfaction, with a standard deviation of 1%. The sample included 25 people who appear in one of their commercials during the past three years
phone company B conducted a study to show 94% customer satisfaction with a standard deviation of 4% a random sample consisting of 100 customers
which of the company claims is more believable and why? 
A.Phone Company A because the time span was longer
B. Phone company B bc the sample was not biased
C. Company A bc the standard deviation is smaller
D.Company B because the standard deviation is larger
Answer:
B. Phone company B because the sample was not biased.
Step-by-step explanation:
While Phone company A had a higher satisfaction rate, 25 people that conducted this poll were in at least 1 commerical of the phone company's in the past 3 years. This means that their reflection of the company is biased (typically higher) and not completely based off of their performance but instead how cool it was to be in a commerical or how much they were paid. If the poll was a more random sample of just customers, it would be more believable data. On the other hand, while phone company B had a lower satisfaction rate and higher deviation, their statistics are more believable due to the random sampling of customers.
Answer:
B
Step-by-step explanation:
Homework: 7.1 hw
Score: 0 of 1 pt
6 of 9 (5 complete)
7.1.26
Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 5%. If no rioney is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 17 years?
c. How many years will it take for the account to contain $2,500?
d. How many years will it take for the account to contain $3,000?
a. After 4 years, the amount in the account will be $
(Do not round until the final answer. Then round to the nearest cent as needed.)
Answer:
a. $ 2,431.01 = 4 years
b. $ 4,584.04 = 17 years
c. 4.57 years = $ 2,499.57
d. 8.3 year = $ 2,998.48
e. $ 2,431.01 = 4 years
Step-by-step explanation:
Compound Interest Equation
A = P(1 + r/n)nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
The functions f(x) and g(x) are shown on the graph.
Ax) = 1x
What is g(x)?
10
f(x) = x1
g(x) = ?
10
10
-5
A. g(x) = [x - 51
O B. g(x):= [X1 - 5
O.C. g(x) = 1x1 + 5
D. g(x) = (x + 51
Answer: i thini its 2
Step-by-step explanation:
The function g(x) is:
g(x) = Ix - 5I.
Therefore, the option A in the given question is correct.
What is transformation on the graphs?When a function is transformed, the graph's curve either "moves to the left, right, up, or down," "expands or compresses," "reflects," or all three.
The function is made possible by the fundamental function f(x) and the constant
g(x) = f(x - k),
horizontally moving, the f(x) k unit coordinates may be drawn.
The shift's direction depends on the value of k. Specifically,
If k > 0, the basis graph shifts right by k units.
If k < 0, the base graph shifts k units to the left.
Given that the parent function is f(x) = IxI.
From the definition,
the transformed function is moved horizontally to 5 units to the right.
So, the function is g(x) = Ix - 5I.
Therefore, g(x) = Ix - 5I.
Learn more about the transformation on the graphs here:
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Your question is incomplete; most probably, your complete question is this:
Which represents continuous data? A) The number of times you flip a coin B) The number of students in a classroom C) The number of chocolate candies in a box D) The price of fish per pound
Answer:
D) The price of fish per pound
Step-by-step explanation:
A continuous data is one which can take any value . it can have even value between any two consecutive number.
Example :
continuous data can have value between 4 and 5 like 4.5 4.001 and so on.
Discrete data is one which can be counted such as number of flowers, no of cars in parking.
it can take value such as 1,2, 12, 66 etc.
____________________________________________
Let go through the option
A) The number of times you flip a coin
We can count the number of times a coin is flipped .
Like 2 times, 3 times and hence it is discrete data and not a continuous one.
B) The number of students in a classroom
Student in a classroom can also be counted.
in a class there can be 12, 50, 66 etc students not 12.1 , 50.5 etc.
hence it is discrete data and not a continuous one.
C) The number of chocolate candies in a box
Again, chocolate number can be counted .
Number of chocolate can be 2, 4, 5 and not 2.1 , 4.6 etc and
hence it is discrete data and not a continuous one.
D>The price of fish per pound
Price of fist cannot be counted . Further, price of fish can be $2.5 , $ 4.555
hence it is a continuous data.
Based on above discussion
continuous data is represented by The price of fish per pound
Look at the diagram.
Which angle is supplementary to
can u maybe write the full question?
enter the mean of the data 9,5,7,7,12
I know 8C5=56 but I tried using the formula but I dont get 56 for my answer can someone pls explain how to work it out. 10 POINTS
Answer:
The combination formula is 8! / (8-5)! * 5!
= 8! / 3! * 5!
= 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1/ 3 * 2 * 1 * 5 * 4 * 3 * 2 * 1 (expand)
= 8 * 7 * 6 / 3 * 2 * 1 (5 * 4 * 3 * 2 * 1 cancels on both sides)
= 8 * 7 = 56 (3 * 2 * 1 = 6)
Please. Answer Giving Brainliest!! (05.07) The net of a pyramid is shown below: The net of a square based pyramid, with base edges labeled 5 inches and the height of the triangle labeled 10 inches. The surface area of the solid is ____ square inches.
Answer: Area= square
A=5×5= 25
A=triangle 1 & 3
5×10= 50÷2= 25 25+25=50
A=triangle 2&4
10×5=50÷2=25×2=50
Area of 1-4= 25+50+50= 125
A= 125
I hope u get what ur looking for and I wish u give me brainlist But I know u won't cuz everyone say that . But thank you so much if u put for me and It would be a very appreciated from you and again thank you so much
n is an integer and -2
Write down the possible values of n,
from smallest to largest.
Answer:
Step-by-step explanation:
-2 < n+3 ≤ 4
Make two separate equations,
-2 < n+3
Subtract 3 from both sides,
-2-3 < n + 3 -3
-5 < n
So, value of n should be greater than (-5)
n +3 ≤ 4
Subtract 3 from both sides
n ≤ 1
So, n value should be less than or equal to 1
So, n value should be greater than -5 and less than or equal to 1
n= { -4, -3 , -2 , -1 ,0 ,1 }
Which is the graph of the linear equation 3x + 2y = 6?
Answer:
its the middle one
Step-by-step explanation:
if y was 0
3x+2(0)=6
3x=6-0
x=2
if x was 0
3(0)+2y=6
2y=6
y=3
Please see attached image for problem.
Answer:
(0, 0)
Step-by-step explanation:
(4+(-4))/2= 0/2= 0
(-5+5)/2=0/2= 0
(0, 0)- mid point
Answer:
[tex](4,-5);(-4,5)[/tex]
Remember this can be interpreted as:
[tex](x_1,y_1);(x_2,y_2)[/tex]
Looking at our x values first we have:
[tex]\frac{4+(-4)}{2}=\frac{0}{2}=0[/tex]
Looking at our y values we have:
[tex]\frac{-5+5}{2}=\frac{0}{2}=0[/tex]
So our midpoint would be the point [tex](0,0)[/tex]
In 1867, the United States purchased the Alaska territory from Russia for $7.2 x 10^6. The total area was about 6 x 10^5 sq miles. What was the price per square mile?
Answer:
the two parties agreed that the United States would pay Russia $7.2 million for the territory of Alaska. For less that 2 cents an acre, the United States acquired nearly 600,000 square m
Step-by-step explanation:
the two parties agreed that the United States would pay Russia $7.2 million for the territory of Alaska. For less that 2 cents an acre, the United States acquired nearly 600,000 square m
100 POINTS BRANLIEST
Answer:
1/3 < a/b < 3/5
Step-by-step explanation:
To find the smallest value for a/b, take the smallest a and the largest b
2/6 = 1/3
To find the largest value for a/b, take the largest a and the smallest b
3/5
1/3 < a/b < 3/5
Answer:
1/3 < a/b < 3.5.
Step-by-step explanation:
Smallest value for a/b = 2/6 = 1/3.
Largest value for a/b = 3/5.
In numb3rs, they use math to solve crimes. One of the ways they use Math is to reveal patterns. What is the pattern in this sequence? What would be the first and last numbers be? (6, 14, 30, 62, 126)
Step-by-step explanation:
I think the first number is 2
Then 2 x 2 = 4 so there is a difference of 4 number
Then in between 6 and 14 there is a difference of 8 so 4 x 2 = 8
Then 16 so 8 x 2 = 16
So after 126 the number is 254
Jessie is building a ramp for loading motorcycles onto a trailer. The trailer is 2.8 feet
off of the ground. To avoid making it too difficult to push a motorcycle up the ramp,
Jessie decides to make the angle between the ramp and the ground 15°. Find the
length of the ramp. Round your answer to the nearest tenth of foot.
Answer:
5.9 your welcome
Step-by-step explanation:
Answer:
Step-by-step explanation:
PLS HELP ME WITH GEOMETRY
Answer:
(3, -7) and (1, 2) are solutions to the equation
Step-by-step explanation:
Simply replace the (x, y ) pair of values in the equation and see if the equality holds:
Pair (0, -8) :
9 (0) + 2 (-8) = -16 therefore this pair is NOT a solution of the equation
Pair (3, -7):
9 (3) + 2 (-7) = 27-14 = 13 therefore this pair IS a solution of the equation
Pair (1, 2):
9 (1) + 2 (2) = 9 + 4 = 13 therefore this pair IS a solution of the equation
Pair (4, -5):
9 (4) + 2 (-5) = 36 - 10 - 26 therefore this pair is NOT a solution of the equation
Prove that the median to the hypotenuse of a right triangle is half the hypotenuse. Proof: By the Distance Formula , MN=___ Therefore OP = 1/2MN
Answer:
MN
[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]
Step-by-step explanation:
From the figure attached,
ΔMON is a right triangle and coordinates of the points M and N are M(0, 2b) and N(2a, 0).
Coordinates of midpoint P → [tex](\frac{2a+0}{2}, \frac{0+2b}{2})[/tex]
From the formula of the distance between two points,
[tex]d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
[tex]\texttt {MN} = \sqrt{(2a-0)^2+(0-2b)^2}\\\\ = \sqrt{4a^2+4b^2}\\\\ = 2\sqrt{a^2+b^2}[/tex]
Similarly, OP
[tex]= \sqrt{(0-a)^2+(0-b)^2}\\\\ = \sqrt{a^2+b^2}[/tex]
Therefore, OP
[tex]= \frac{1}{2}(MN)[/tex]
and MN
[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]
Use the method of substitution to solve the system of equations. please show your work! y=534x y=74.80x+1,419 Thank you so much! If you could also solve it graphically that would be best but if not thats okay!
Answer:
( 3, 1650 ), Where x = 3, and y = 1650 -
Approximately
Step-by-step explanation:
Take a look at the procedure below;
[tex]y = 534x,\\y = 74.80x + 1,419\\\\y = 534x,\\y - 74.8x = 1,419\\\\( 534x ) - 74.8x = 1,419\\459.2x = 1,419\\x = ( About ) 3\\\\y = 534 * ( x ),\\y = 534 * ( 3.1 ),\\y = ( About ) 1650[/tex]
We first converted the second equation into standard form, by subtracting 74.8x on either side. Afterwards we substituted 534x in replacement of y in this second equation, and solved for x. Knowing the value of x, it was substituted back into the first equation to solve for the value of y. Hence, the resulting solution is ( 3, 1650 ) - approximately.
* I apologize for not including a graph *
What are the next two terms in this sequence: 3.4, 4.5, 5.6, 6.7, 7.8,__, __? 1) 8.9, 9.10 2) 8.9, 10.0 3) 7.9, 9
Gregory drinks 6 liters of water over 2 days. In how many days would he consume another 12 liters?
Answer:
12 liter in 4 days
Step-by-step explanation:
twice as many days, twice as many liters
Answer:
6 days
Step-by-step explanation:
"another 12 liters" => 12liters + 6 liters = 18 liters
6 liters - 2days
18 liters - x
6x = 18 * 2
x = 6 days
PLEASE HELP!!! Pleasee :C
Answer:
The error was in step 3
Step-by-step explanation:
The first two steps are correct, the property of addition of internal angles of a triangle that equal [tex]180^o[/tex] is properly used, Also the addition of supplemental angles to total [tex]180^o[/tex] is also properly used.
In step 3. there is an error. Notice how it should have been done:
[tex]\angle m+\angle n +\angle o=180^o\\\angle o + \angle p = 180^o\\then:\\\angle m+\angle n +\angle o=180^o=\angle o+\angle p\\\angle m+\angle n +\angle o=\angle o+\angle p[/tex]
The tree diagram shows the possible outcomes of tossing a coin and spinning a spinner.
How many outcomes result in a number greater than 1 on the spinner?
1
2
3
4
Answer:
The number of outcomes that will result of more than 1 on the spinner is 3/4The required number of outcomes is 4 and the last option is correct.
Important information:
Tree diagram shows the possible outcomes of tossing a coin and spinning a spinner.Number of Outcomes:From the given tree diagram, it is clear that the total number of outcomes is 6.
The numbers greater than 1 on the spinner are 2 and 3.
The outcomes that result in a number greater than 1 on the spinner are:
heads, 2
heads, 3
tails, 2
tails, 3
Therefore, the required number of outcomes is 4 and the last option is correct.
Find out more about 'Number of Outcomes' here:
https://brainly.com/question/8333316
question 15: please help. I will give brainliest to correct answer.
Answer: its C
Step-by-step explanation:
Answer: Number 3 is the correct answer.
Step-by-step explanation:
40 points to whoever can answer for me!
Answer:
x≤-3 2 ≤x<7
Step-by-step explanation:
(x^2+x-6) /(x-7) ≤0
Factor the numerator
(x+3)(x-2) / (x-7)≤0
Critical points are
X =-3 X =2 X=7
We need to check the values when
x≤3 -3 ≤ x≤2 2 ≤x<7 x>7
(x cannot be 7 because then the denominator is zero)
and see when it is less than 0
Substitute a value in and see if factor is positive or negative
x≤-3
(negative)(negative) / (negative) = negative
-3 ≤x≤2
(positive)(negative) / (negative) = positive this range does not work
2 ≤x<7
(positive)(positive) / (negative) = negative
x>7
(positive)(positive) / (positive)
Answer:
The second option is the correct answer.
Thank you.
I've answered as fast as I can to answer your question.Hope you understood it.
Pls mark my answer as brainliest and follow me.
HELP ME PLEASE 10 POINTS ON IT PLEASE HELP ME
Answer:
4, 12, 16 (respectively)
Step-by-step explanation:
if you need one just comment and ill add one
[tex]answer = \\ red = 4 \\ blue = 12 \\ green = 16 \\ solution \: \\ let \: the \: ratios \: be \: x \: 3x \: 4x \\ x \ + 3x + 4x = 32 \\ or \: 8x = 32 \\ or \: x = \frac{32}{8} \\ x = 4 \\ replacing \: value \\ 3x \\ = 3 \times 4 \\ = 12 \\ 4x \\ = 4 \times \: 4 \\ = 16 \\ hope \: it \: helps...[/tex]
The front elevation, side elevation and plan of a solid are all the same, as shown. (It is shown on the picture provided). Write down the name of the solid
Answer:
Cube
Step-by-step explanation:
The front elevation, side elevation and plan of a cube are all square
Answer:
The name of the solid is cube.
Step-by-step explanation:
What is cube?
A cube is a three-dimensional solid figure, having 6 square faces. It is a geometrical shape with 6 equal faces, 8 vertices, and 12 equal edges.
What is elevation?
The view from the top is called the plan. The view from the front and sides are called the elevations (front elevation and side elevation).
The front elevation, side elevation and plan of a solid are all same shows a cube.
To know more about elevation, cube here.
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Drag the expressions to show the order of their quotients from least to greatest
Answer:
A,D,BC
Step-by-step explanation:
For f (x) = 2x+1 and g(x) = x+14, find (fog)(x).
A. 2x+29
B. 2x2 - 6
C. 4x2 + 4x -6
D. 2x3 + x2 -14x -7
Answer:
(fog)(x)=2x+29 (A)
Step-by-step explanation:
You put g(x) into f(x) for x and solve.