Answers
Answer:
The correct option is C. The function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.
Step-by-step explanation:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex]
where, a is the initial value and b is the growth factor.
If b<1, then it represents a decay function and if b>1, then it represents a growth function.
Let k be a stretch and compression factor.
[tex]g(x)=kf(x)[/tex]
If k<1, then it represents vertical compression and if k>1, then it represents vertical stretch.
In third function
[tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex]
[tex]k > 1[/tex]
[tex]b < 1[/tex]
Therefore the function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.
Related Questions
Sydney took a trip to a relatives house for Thanksgiving. She drove 65 miles per hour for 1. 5 miles and 55 miles per hour for 3. 5 hours. What was the total distance in miles that she traveled duribg this time?
Answers
The total distance in miles that she traveled duribg this time is 17.21miles
Distance and speedSpeed is defined as the rate of change of distance. Mathematically speed is expressed as:
Speed = Distance/Time
For the second trip
Speed = 55mph
Time = 3.5hours
Distance = 55/3.5
Distance = 15.71 miles
Total distance travelled = 1.5 miles + 15.71miles
Total distance travelled = 17.21miles
Hence the total distance in miles that she traveled duribg this time is 17.21miles
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6
Mr. Jones determined that the equation y = 98 - 15 x could be used to predict his
students' unit test scores, based on the number of days, x, a student was absent
during the unit. What is the meaning of the y-intercept of the function?
A. A student who was not absent during the unit should score about 98.
B. A student who was not absent during the unit should score about 94.5.
C. A student's test score should increase by about 3.2 points for each day the
student is absent.
D. A student's test score should decrease by about 3.2 points for each day the
student is absent.
Answers
Graph the system of equations below on a piece of paper. What is the solution? TW y=x-1 y=-2x+5
Answers
A system of equations
y= x-1y= -2x+5To find↷The solution to the system of equationsAnswer↷(2,1)Solution↷y = x -1 _ _ _ _ _ _(1)
y=-2x+5_ _ _ _ _ _(2)
subtracting equation 2 from equation 1,we get,
x -1 = y
-(-2x +5 = y)
__________
3x -6 = 0
3x = 6
x = 6/3
x = 2
___________
Plugging the value of x in equation 1,y= 2-1
y= 1
hence, the solution of this system of equation is (2,1)We will solve this through graphical way
Graph both equations
Solution is
(2,1)Graph attached
Question 1 (2 points)
Which box-and-whisker plot represents the data set?
10, 5, 8, 14, 21, 7, 13, 17, 17
Answers
A sequence is defined by an = -5+ (n - 1) 14, where n is a positive integer. What is the value of 410?
Answers
The sequence an = -5 + (n - 1)14 is an arithmetic sequence
The value of a10 is 121
How to determine the the a10-th term?The sequence is given as:
an = -5 + (n - 1)14
To calculate the value of a10, we set n = 10
So, we have:
a10 = -5 + (10 - 1) * 14
Evaluate the difference
a10 = -5 + 9 * 14
Evaluate the product
a10 = -5 + 126
Evaluate the sum
a10 = 121
Hence, the value of a10 is 121
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Complete the steps, which describe how to find the area of the shaded portion of the circle. a circle is shown. 2 raddi are drawn. a chord connects the points of the radii on the circle to each other. the space between the chord and the outline of the circle is shaded. 1. find the area of the sector by multiplying the area of the circle by the ratio of the _________________________ to 360. 2. subtract the area of the triangle from the area of the sector. length of the radius length of the diameter measure of the central angle circumference of the circle
Answers
The term segment refers to an area that is bounded by two radii and a chord.
What is a segment?The term segment refers to an area that is bounded by two radii and a chord.
We have to obtain the area of the segment by;
the area of the sector is obtained as the product of the area of the circle and the ratio of the angle subtended by the sector to 360.Secondly, the area of the triangle formed as part of the segment is subtracted from from the area of the sector.This is how to obtain the area of the segment.
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#SPJ4
Answer:
the correct option is C
Step-by-step explanation:
The lengths of the sides of triangle XYZ are written in
terms of the variable m, where m 2 6.
Which is correct regarding the angles of the triangle?
Omzx <'
mzz
Х
m +8
OmZY
m-3
OmZY
2m + 3
Omzz
Z
Answers
Answer:
its the 3rd one i think but don't trust me cuz ion know
The correct regarding the angles of the triangles are,
⇒ m ∠Y < m ∠Z < m ∠X
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Since, Given that;
m ≥ 6, we will substitute 6 in for m.
This makes;
XZ = m-3 = 6-3 = 3.
XY = m+8 = 6+8 = 14.
YZ = 2(6)+3 = 12+3 = 15.
Hence, This makes the sides, in order from least to greatest as;
XZ < XY < YZ.
Thus, The angles associated with these are opposite their corresponding sides; XZ corresponds with Y; XY corresponds with Z; and YZ corresponds with X.
This means correct regarding the angles of the triangles are,
⇒ m ∠Y < m ∠Z < m ∠X
Thus, The correct regarding the angles of the triangles are,
⇒ m ∠Y < m ∠Z < m ∠X
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how mny sets of three consecutive integers are there whose sum is between 51 and 60
Answers
Answer:
4 sets
Step-by-step explanation:
16 + 17 + 18 = 51
17 + 18 + 19 = 54
18 + 19 + 20 = 57
19 + 20 + 21 = 60
Please help me
I will give brainly ond 5 stars and a thanks
Answers
Answer:
Step-by-step explanation:
The y values differ by 1. They are also 1 larger than the x value.
The equation is y = x + 1
Use x = 4 ans an example
y = x + 1
x = 4
y = 4 + 1
y = 5
At least for this example the equation works. It will for all the others as well.
A group of 25 employees want to go out for a group dinner.
18 employees want to go to Restaurant A.
7 employees want to go to Restaurant B.
Use this information to answer the questions below.
ws the proportion of employees who want to an to Restaurant
Answers
B is 7:25
OMG NEED HELP ASAP!!!
Answers
Answer:
Graph A
Step-by-step explanation:
the equations is y = 3x/4 - 3
the slope is 3/4
the y intercept is -3
and the x intercept is:
3x/4 - 3 = 0
3x/4 = 3
x = 4
Graph A matches the equation.
What is the area of the trapezoid at the right
Answers
Answer:
144
Step-by-step explanation:
8•6 because two triangles make a square and they are the same size, so there is no need to divide by half
then 8•12 for the square in the middle
please solve the given problem
Find the value of x and y
If
5x-2y=0
5x+10y=100
Answers
Answer:
The answer is given in the picture
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:
x = 10/3 , y = 25/3
Step-by-step explanation:
Let's solve your system by substitution.
5x−2y=0 ; 5x+10y=100
Step 1: Solve 5x−2y=0 for x:
5x−2y=0
5x−2y+2y=0+2y (Add 2y to both sides)
5x=2y
5x=2y
5x/5=2y/5 (Divide both sides by 5)
x=2y/5 (Simplify)
Step 2: Substitute 2y/5 for x in 5x+10y=100:
5x+10y=100
5 2/5y +10y=100
12y=100 (Simplify both sides of the equation)
12y/12=100/12 (Divide both sides by 12)
y=25/3
Step 3: Substitute 25/3 for y in x=2/5y
x=2/5y
x=2/5 * 25/3
x=10/3 (Simplify both sides of the equation)
At the end we have the following answers :
x = 10/3
y = 25/3
help quick!
Jennifer is collecting cans of food for a food drive at her school. On
week one, she collected 4 cans. On week two she had 5 cans. By
week five, she had 8 cans. How many cans will she have collected by
week twelve?
Answers
Answer:
make me brainliest pls hope it helps :)
Step-by-step explanation:
week 1 = 1+3=4
week 2= 2+3=5
week 5=8+3=11
11 cans
Karly has 81 ounces of white paint.
She pours the paint into 7.2-ounce
containers. How many containers can
Karly fill with paint?
Answers
what is 339.12 rounded to the nearest hundreth
Answers
Answer:
339.12 rounded to the nearest hundreth is 339
Because the hundreth place right now is 1 so anything below five keep the same
Please consider brainliest <3
Step-by-step explanation:
Answer: 339.10
Step-by-step explanation: The value of 2 is the hundredth and it is rounded up to 0
2x² - 4x - 6 = 0, what is the positive solution to the equation?
Answers
I believe it's x = 3.
Step-by-step explanation:
Common factorDivide both sides by the same factorUse the quadratic formulaSimplifySeparate the equationsSolveSolution: x = 3
Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=4/3x
Answers
Answer:
Step-by-step explanation:
The a line that is perpendicular to the reference line will have a slope that is the negative inverse of the slope of the reference line. We'll look for a line that has the form y=mx+b, where m is the slope and b is the y-intercept. The reference line y=(4/3)x has a slope of (4/3) and a y-intercept of 0 (it crosses the y axis at x = 0).
The negative inverse the the slope (4/3) would be -(3/4).
The new line will be y = -(3/4)x + b.
To find point, use the given point and solve for b:
y = -(3/4)x + b
y = -(3/4)x + b for point (4,2)
2= -(3/4)(4) + b
2= -3 + b
b = 5
The equation of the perpendicualr line is y = -(3/4)x + 5
See attached graph.
The previous monthly balance on Barneys Laurents charge card is $144.79. He made a payment of $144.79 and had charges of $125.22, $23.22, and $33.65. There is no finance charge.
PLEASE HELP!!!
WILL MARK BRAINLIEST
Answers
Answer:
$182.09
Step-by-step explanation:
Add
$125.22 + $23.22 + $33.65
= $182.09
Samuel bought 4 rolls of tape to seal boxes. Each roll contains 32.9 meters of tape. He uses 1.2 meters of this tape to seal each box. What is the total number of boxes Samuel can seal with these 4 rolls of tape?
Answers
Answer:
109
Step-by-step explanation:
32.9 × 4 = 131.6
131.6 ÷ 1.2 = 109.6666666667
round down because you can seal 1 more box with .7 m of tape.
Answer:
The total number of boxes able to be sealed with this amount of tape is 109.6
Step-by-step explanation:
Find the reference angle.
-230°
Answers
Answer:
pretty sure it would be like 90 or something, don't know if it's -90 or just 90 tho
Step-by-step explanation:
Answer:
50 degrees
Step-by-step explanation:
-230 is the same as 130 in quadrant II
reference angle 180 - 130 = 50 degrees
Carla served her mango pie on a 14 inches diameter dish. She wanted to tie a ribbon around the dish to make it a little more attractive. How long does the ribbon need to be in order to fit around the dish?
Answers
By finding the circumference of the plate, we conclude that the ribbon must be 43.96 in long.
How long does the ribbon need to be?
Remember that for a circle of radius R, the circumference is:
C = 2*pi*R
In this case, the ribbon must be equally long to the circumference of the plate. We know that the diameter of the plate is 14 inches, and the radius is half of that, then we get:
R = 14in/2 = 7in
Replacing that on the circumference equation we get:
C = 2*3.14*7in = 43.96 in
The ribbon must be 43.96 in long.
If you want to learn more about circles, you can read:
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Find the gradients of lines a and b
Answers
Answer:
Line A = y = 8x – 6
Line B = y = -4x + 8
Step-by-step explanation:
5. F-LE.1.2
Two terms from a sequence are two terms from a sequence are shown in
the table below. Which formula does not
generate these terms?
A, an = 2n
B. an = 2(n-1) + 2
C. An=2"
D. an = 2n-1 + 2
Answers
Answer:
A, an = 2n. B. an = 2(n-
Step-by-step explanation:
can you brainlist me
find the product 867 and 49
Answers
Answer:
42483
Step-by-step explanation:
867*49 = 42483
What is the probability of rolling numbers that add to 8 when rolling two standard number cubes? Use the chart to help you solve the problem
A 7/36
B 5/36
C 11/26
D 1/6
Answers
Answer:
It's 3/18 becasue in total there are 18 choices but only 3 add up to 8
A graph is shown. Which of the following equations are represented by the graph?
Answers
Answer: A
Step-by-step explanation: I has a negative slope, which means that its line is shaped like a backslash. This graph is shaped like a forward slash, so it cannot be that one. III is a quadratic equation in factored form. The graph for a quadratic equation is shaped like a U or an upside down U, so it cannot be that one either. Using process of elimination, the only one that it can be is A, II and III.
I also used Desmos graphing calculator to double check and I was right. Here it is:
What is the probability that a five-card poker hand contains exactly one ace?.
Answers
The probability of selecting exactly one ace is its likelihood
The probability that a five-card poker hand contains exactly one ace is 29.95%
How to determine the probability?There are 4 aces in a standard deck of 52 cards.
The probability of selecting an ace would be:
p = 4/52
Also, there are 48 non-ace cards in the standard deck
So, the probability of selecting a non-ace after an ace has been selected is:
p = 48/51
The probability of selecting a non-ace up to the fifth selection are:
After two cards have been selected is: 47/50.After three cards have been selected is: 46/49.After four cards have been selected is: 45/48.The required probability is then calculated as:
P(1 Ace) = n * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)
Where n is the number of cards i.e. 5
So, we have:
P(1 Ace) = 5 * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)
Evaluate
P(1 Ace) = 0.2995
Express as percentage
P(1 Ace) = 29.95%
Hence, the probability that a five-card poker hand contains exactly one ace is 29.95%
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Kelso had two dogs. Each
dog eats one and a half cups
of dog food each day. There
are 75 cups in a bag of food.
How many days does one
bag of food last?
Answers
Answer:
Its gonna last 25 days
Step-by-step explanation:
75/3 = 25
3 -> 1.5*2
Clarissa made a scale drawing of a rectangle. she used a scale factor of 3 to draw the new rectangle. how does the length of the new rectangle compare to the original? the length of the new rectangle is one-third the length of the original. the length of the new rectangle is startfraction 1 over 12 endfraction the length of the original. the length of the new rectangle is 3 times the length of the original. the length of the new rectangle is 12 times the length of the original.
Answers
Answer:
The length of the new rectangle will be 3 times the length of the original.
Step-by-step explanation:
Let the side of the rectangle be x and y.
Therefore after factoring it up by 3 the new sides will be [tex]3x,3y[/tex]
Thus, the length of the new rectangle will be 3 times the length of the original.
Answer:
c
Step-by-step explanation: