Select the correct answer.
What are the asymptote and the y-intercept of the function shown in the graph?
f(x) = 3(0.2)^x + 2
A. asymptote: y = -2
y-intercept: (0,5)
B. asymptote: y = 2
y-intercept: (0,5)
C. asymptote: y = 2
y-intercept: (0,4)
D. asymptote: y = -2
y-intercept: (0,3)
Answers
Answer:
B
Step-by-step explanation:
The function reaches the y-axis at the point (0,5).
The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.
The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.
Good luck ^^
The equation of the asymptote is y = 2 and the coordinate of the y-intercept will be (0, 5). Then the correct option is B.
What is asymptote?An asymptote is a line that constantly reaches a given curve, but does not touch at any infinite distance.
The equation of the function is given below.
[tex]\rm f(x) = 3(0.2)^x + 2[/tex]
The asymptote of the function is given as by substituting x as infinity, then the equation of the asymptote will be
[tex]\rm y = 3(0.2)^{\infty} + 2\\\\y = 2[/tex]
Then the y-intercept of the function will be given by substituting y = 0, then the y-intercept will be
y = 3(0.2)⁰ + 2
y = 3 + 2
y = 5
The coordinate of the y-intercept will be (0, 5).
Then the correct option is B.
More about the asymptote link is given below.
https://brainly.com/question/17767511
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Related Questions
A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)
Answers
Answer:
The answer is "between 0.10 and 0.05".
Step-by-step explanation:
For sample 1:
[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]
For sample 2:
[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]
Calculating the null and alternative hypotheses:
[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]
Calculating the test statistic:
[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]
Calculating the conservative degrees of freedom:
[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]
by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].
[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]
HELP ILL GIVE U THE BRAINLIEST
Answers
Answer:
(0, 3 )
Step-by-step explanation:
To find the y- intercept , substitute x = 0 into f(x), that is
f(0) = 3 × [tex]4^{0}[/tex] [ note [tex]4^{0}[/tex] = 1 ]
= 3 × 1
= 3
y- intercept = (0, 3 )
Hmmmmmskksksksksksjsjsjdj
Answers
Answer:
Hmmm
Step-by-step explanation:
Please help with question please please
Answers
Answer:
B. 55+70<750
Step-by-step explanation:
Create and solve a 2 step equation where x = -3
Answers
Answer:
Equation:
x + 2 = -1
x = -1 - 2
x = 3
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Find the slope of the yellow cab. Use the point (4,7), and coordinate for the y-intercept, to find the slope.
Answers
Which triangle is NLM congruent to? Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
XYZ
Step-by-step explanation:
due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.
If each square in the following floor plan represents 2.5 feet, what are the dimensions of the living room?
Answers
1/8 plus 1/4 equals.
Answers
Answer:
3/8
Step-by-step explanation
Please just use a calculator
Answer:
0.375
Step-by-step explanation:
Ashleys Shoe Store buys shoes for $35 and then sells them for
$85.
What is the percent of increase on the price of the shoes?
Round to the nearest whole number
Answers
PLEASE HELP. ANYONE.
The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:
V = 8w + 3l
where V = the perimeter of the vegetable garden; w = the width; l = the length
Which formula best represents l in terms of w and V ?
A- l=v-8w-3
B- l=3v-8w
C- l=v-8w/3
D- l=v-8w+3
Answers
V-8w/3 =l
Ans. C
Use the distributive property to solve the equation -2(x+5) =4
Answers
add 10 to both sides
-2x=14
x=-7
A positive number with an absolute value less than 5.
Answers
Answer:
3 I think.
Step-by-step explanation:
it's positive and it's also an absolute
Please help and thank you
Answers
Answer:
D
Step-by-step explanation:
why is the petrol price cheaper at coastal than inland
Answers
Answer: If a litre of fuel at the coast (95 octane) costs R13,89, then 38% is tax. The difference between inland and coastal fuel prices is mainly due to transport costs of the fuel from depots at the coat to inland outlets.
A new savings account is opened with $400 and gains 3% every year. What is the value of the account at 32 years?
Answers
Answer:
1072
Step-by-step explanation:
I need help finding the slope
Answers
Answer:
0.75
Step-by-step explanation:
-3-1.5/-4-2
-4.5/-4-2
-4.5/-6
0.75
Point B has coordinates (4,1). The x-coordinate of point A is -4. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
Answers
Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance between point A and point B is 10 units.
[tex]\sqrt{(4-(-4))^2+(1-y)^2}=10[/tex]
Taking square on both sides, we get
[tex](8)^2+(1-y)^2=100[/tex]
[tex](1-y)^2=100-64[/tex]
[tex](1-y)^2=36[/tex]
Taking square root on both sides, we get
[tex](1-y)=\pm \sqrt{36}[/tex]
[tex]-y=\pm 6-1[/tex]
[tex]y=1\mp 6[/tex]
[tex]y=1-6[/tex] and [tex]y=1+6[/tex]
[tex]y=-5[/tex] and [tex]y=7[/tex]
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).
HLEP PLEASE PUT THEM IN THE CORRECT ORDER TRUE OR FALSE
Answers
Answer:
1. False
2. True
3. True
Step-by-step explanation:
A rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'. What is the geometric probability that a model rocket falling randomly on the pad will land in the target?
Answers
Answer:
9.6%
Step-by-step explanation:
The probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
To get the geometric probability, we must find the area of the rectangle.
Total outcomes = 20' × 25' = 500'
Total favourable outcomes = 6' × 8' = 48'
Probability = 48/500 = 0.096
= 0.096×100 = 9.6%
Thus, the probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
Learn more about the probability here:
brainly.com/question/11234923
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A line that includes the point (2,7) has a slope of
–
8. What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answers
Answer:
y - 7 = -8(x-2)
Step-by-step explanation:
The point slope form is: y-y1=m(x-x1)
From the information that was given, we know our two points: (2,7)
From here, we can fill in some of the missing information: y-y1=m(x-x1) → y - 7 = m(x-2)
Now I can't tell if you wrote down -8 or just 8, but just in case my answer isn't the right number.
The answer would either be: y - 7 = -8(x-2) [if you wrote down -8 as the slope]
OR
The answer would be: y - 7 = 8(x-2) [if you wrote down 8 as the slope]
Robin, Ashley, Joy, and Christina collected 156 acorns to make fall decorations. Robin collected three times as many acorns as Ashley.Christina
has 12 more acorns than Robin. Ashley and Joy collected the same number of acorns.
How many acorns did Ashley collect?
PLEASE HELP
Answers
Answer:12
Step-by-step explanation:
A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water
bottle. Which of the following methods would work to create the larger water bottle with the intended volume?
1. Double the radius of the original water bottle. Keep the height the same.
II. Double the height of the original water bottle. Keep the radius the same.
III. Double the height and double the radius of the original water bottle
IV. Quadruple the height of the original water bottle. Keep the radius the same
o I and IV
O I and 11
O I, II, III, and IV
O III and IV
Answers
Answer:
option 3, double the height and with of original bottle
The methods which will create the larger water bottle with the intended volume is 1 and IV.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given that,
A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water bottle.
Volume of a cylindrical shape = π r² h
Let V be the original volume.
If radius is doubled, then the new volume is,
V' = π (2r)² h = 4(π r² h) = 4V
So 1 is an option.
When the height is Quadrupled,
V' = π r² 4h = 4(π r² h) = 4V
Hence the correct options are 1 and IV.
Learn more about Volume here :
https://brainly.com/question/16134180
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If a farmer sells 9.8 KL of apples and pears at the farmers market. 4/5 of this weight is apples,and the rest are pears. How many kl of pears did they sell the farmers market
Answers
Answer:
1.96
Step-by-step explanation:
A farmer sells 9.8 kl of apples and pears
4/5 of this weight is apples, while the rest are pears
Therefore the wight of pears can be calculated as follows
Let x represent the weight of pears
9.8= 4/5×9.8 + x
9.8= 0.8×9.8+x
9.8= 7.84+x
9.8-7.84= x
x= 1.96
When looking for a job micah is told that the monthly salary has a range of 876 he also knows that the starting salary is 1,793 per month what is the maximum amount of money that micah can earn in this position?
Answers
Answer:
2669
Step-by-step explanation:
Given that :
Salary range = 876
Starting salary = 1793 monthly
The starting salary represents the minimum amount Micah can earn monthly
Therefore, the amount of money much can earn can be calculated thus :
Recall :
Range = maximum - minimum
876 = maximum - 1793
876 + 1793 = maximum
Maximum = 2669
Hence, the maximum salary Micha can earn is 2669 monthly
Molly earns $6 for each hour she babysits plus $10 to cover any personal
expenses. Suzie earns $4 for each hour she babysits plus $24 to cover
personal expenses. At a certain point, Molly and Suzie will work the same
number of hours and earn the same amount of money. At this point, how
much money will each girl earn?
A.$34
B.$44
C.$52
D.$62
Answers
Answer:
44
Step-by-step explanation:
Answer:
The answer is C or 52!!
Step-by-step explanation:
Brainliest Please!
You are testing two food scales for accuracy by weighing two different types of foods. Use the drop-down menus to complete the statements about the scales' accuracy. Scale 1 Measured Weight Actual Weight 85 oz 100 oz Scale 2 Measured Weight Actual Weight 47 oz 50 oz CLEAR CHECK Because the object on Scale 1 weighs more than the object on Scale 2, each ounce of error results in a lesser percent error. Scale 1 was 15 ounces off and Scale 2 was 3 ounces off, so Scale 1 was % off and Scale 2 was % off.
Answers
Answer:
scale 1 was 15% off and SCALE 2 was 6% off
Step-by-step explanation:
Scale __ Measured Weight ____Actual Weight
1_________85 oz _______________100 oz
2 ________ 47 oz _______________ 50 oz
Percentage error :
[(|measured - actual |) ÷ actual] * 100%
Scale 1 :
|85 - 100| = 15 oz
15 / 100 * 100% = 15%
Scale 2 :
|47 - 50| = 3 oz
3 / 50 * 100% = 0.06 * 100% = 6%
Hence, scale 1 was 15% off while SCALE 2 was 6%
What is the surface area of the rectangular pyramid
Answers
Answer:
88.8 cm square
Step-by-step explanation:
What is the value of the flowers?
Answers
Answer:
24
Step-by-step explanation:
6*6=36
6+10=16
2*10=20
Flower=10-6+20=24
In the triangle below, what is the measure of R?
8
8
309
P
A. 60°
B. 30°
C. 90°
D. 45°
Answers
Answer:
∠R = 30°
Step-by-step explanation:
Because QP = QR, it is an isosceles triangle. So ∠R = ∠P
Answer:
B. 30°
Step-by-step explanation:
Side QP and QR are equal which makes the angles equal as well