Answer:
The statement "the range of the graph is all real numbers greater than or equal to 0" is true.
Step-by-step explanation:
As the function is given by
As we know that the domain is the set of all possible input values or all x -values that a function passes through. In other words, domain consists of all the possible input values shown on the x-axis.
Range is the set of all y-values that a function passes through. In other words, range consists of all the possible output values shown on the y-axis.
For the given function
The domain of the given function
The domain of can also be written as: {x | x ≥ 0}
It means the domain of the graph of this function is all real number greater than or equal to 0.
The domain of the graph of this function can not be less than zero, because if we put any negative real number in this function, it would make the the function undefined.
Please check the attached graph as shown in figure a, to visualize the domain and range of
From the graph.
it is visible that the range of the given function
The range of can also be written as: {y | y ≥ 0}
In other words, for every input value in the domain of this function, the range of will be all real numbers greater than or equal to 0. Please see the attached graph as shown in figure a.
So, from the entire discussion, we can safely say that the statement "the range of the graph is all real numbers greater than or equal to 0" is true.
Suppose in the year 2000 the population of a country is 20 million. In the year 2010 the
population is now 24 million. If the growth of the population is exponential, approximate what the population would be in the year 2021.
Answer:
Grows by 2.4 million each year
Step-by-step explanation:
URGENT PLS HELP
John is driving around town. When he reaches the gas station, he notes that he has traveled 18 miles. He reaches home 2 hours later and notes that he has traveled 34 miles. If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?
1. d = 18t + 52
2. d = 16 + 18t
3. d = 8t + 18
4. d = 8t - 18
Please look for the question in the picture.
the answer for this question is a: -9/-8
What is the value of a on the triangle below?
Answer: answer 56 I’m the goat lol
Step-by-step explanation:
subtract 107 from 180 and you get 73 that’s one corner 73 +51 =124 and 180 - 124 = 56
a certain pharmaceutical company know that, on average 4% of a certain type of pill has an ingredient that is below the minimum strength and thus unacceptable. what is the probability that fewer that 5 in a sample of 20 pills will be acceptable?
Using the binomial distribution, it is found that there is a 0% probability that fewer that 5 in a sample of 20 pills will be acceptable.
For each pill, there are only two possible outcomes, either it is acceptable, or it is not. The probability of a pill being acceptable is independent of any other pill, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
The sample has 20 pills, hence [tex]n = 20[/tex].100 - 4 = 96% are acceptable, hence [tex]p = 0.96[/tex]The probability that fewer that 5 in a sample of 20 pills will be acceptable is:
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.96)^{0}.(0.04)^{20} = 0[/tex]
[tex]P(X = 1) = C_{20,1}.(0.96)^{1}.(0.04)^{19} = 0[/tex]
[tex]P(X = 2) = C_{20,2}.(0.96)^{2}.(0.04)^{18} = 0[/tex]
[tex]P(X = 3) = C_{20,3}.(0.96)^{3}.(0.04)^{17} = 0[/tex]
[tex]P(X = 4) = C_{20,4}.(0.96)^{4}.(0.04)^{16} = 0[/tex]
0% probability that fewer that 5 in a sample of 20 pills will be acceptable.
A similar problem is given at https://brainly.com/question/24863377
Find BC.
А В
С
ош
=
=
AD = 10.5
AB = 2
СЕ = 11.5
AE = 15
BC = [?]
=
Answer:
8,5
Step-by-step explanation:
BC=AD-AB
BC=10,5-2
BC=8,5
Please look for the question in the picture.
it will be c
as
negative with negative erased together
LAST ATTEMPT MARKING AS BRAINLIEST!! (Pythagorean theorem )
Find the domain and the range of the given relation {(-1,-5),(-3,0),(9,1),(1,9)}
Answer:
1,3,4,6,8} { 1 , 3 , 4 , 6 , 8 }. Range:{2,4,5,7,9}
Step-by-step explanation:
The domain is the set of all the values of x x . The range is the set of all the values of y y .
Oceanside Bike Rental Shop charges 13 dollars plus 8 dollars an hour for renting a bike. Tim paid 45 dollars to rent a bike. How many hours did he pay to have the bike checked out?
Step-by-step explanation:
Shop charges =13
Many left for renting bike = 45-13 =$32
If renting for 1hr cost $8
then renting for X Hrs will cost $32
1/X =8/32 cross multiplying
8X= 32
X= 32÷8= 4hrs
Triangle A'B'C' is a reflection of triangle ABC across line BC. Prove that ray BC is the angle bisector of angle ABA'.
Answer is below in the picture:-
(From the problem, we know (triangle)ABC (round of equal of) (triangle)A'B'C'. So, <A'B'C' = <ABC {the properties of congruent triangles}. So, ray BC is the angle, bisector of angle ABA')
I hope it helps.
It is proved that the ray BC is the angle bisector of angle ABA'.
What are angle bisectors?Angle bisectors are lines who bisect the considered angle. Bisect refers to splitting in two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.
When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if it in a mirror.
We will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
From the given problem, we know Triangle A'B'C' is a reflection of triangle ABC across line BC.
Therefore, <A'B'C' = <ABC
By the properties of congruent triangles. Means if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Hence, the ray BC is the angle, bisector of angle ABA'.
Learn more about reflection here;
https://brainly.com/question/28186407
#SPJ5
There are two types of packages that are available for hotel stay
- you can use the hotel unlimited for $500 a month
- Or you can spend $50 a day per visit.
Enter an equation that can be used to find the number of visits per month needed for the two packages to cost the same amount
Answer:
for one month 500$
for daily visit 50$
500$=50$*x days
x days=500$/50$
x days = 10 days
10 days of daily visits costs 500$ equal to one month
Does favorite food depend on your gender? A survey asks a group of college students about their favorite foods. It also groups the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed.
Sushi Pizza Hamburgers Row Total
Men 19 16 21 56
Women 19 11 13 43
Column Total 38 27 34 99
The null and alternative hypotheses are:
H0: The two variables are independent, so gender does not affect favorite food.
Ha: The two variables are dependent, so gender does affect favorite food.
Compute the test statistic, rounded to one decimal place.
Answer:
Yes, it does
Step-by-step explanation:
More Men like the Pizza and Hambugers more than the girls. Both like shushi Equaly but 2 beats 1 am a right.
The diagonal of an isosceles trapezoid with angle to the base is equal to 30. Find the length of the height of the trapezoid if it is known that the midline of this trapezoid is equal to 8 cm.
Answer:
4.62 cm to nearest hundredth.
Step-by-step explanation:
If the parallel sides are x and y then:
x + y = 2*8 = 16
x + y = 16
If we drop a perpendicular line from one of the upper points on the trapezoid we have the height. Let the upper point be C and the point on the base be A. Let the point on right of the base be B.
AC is the height of the trapezoid. AB is the baseline of the triangle CAB.
In triangle CAB the angle B is 30 degrees.
As this is a 30-60-90 degree triangle
AC/AB = 1/√3 so AC = AB/ √3.
As the trapezoid is isosceles:
AB = x + 0.5(y - x)
AB = 0.5x + 0.5y
So AC = 1 /√3 (0.5x + 0.5y)
= 1 /√3 (0.5x + 0.5(16 - x)) (Substituting for x)
= 1 /√3 (0.5x + 8 - 0.5x)
=8 / √3
. = 4.6188 cm
Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain) HELP
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
A child's height increased from 21 to 32 inches. What was the percent increase in the child's height
Answer:
52.4
Step-by-step explanation:
% change = 100 x final initial/initial
Solve for x please help me
Answer:
30
Step-by-step explanation:
all angles add up to 180*, 180-90=90, 90=3x, 30=x
Answer:
x = 30
Step-by-step explanation:
One side is 90 so the other two sides have to add up to 90 too because a triangles' angles have to add up to 180.
So, we can write that 2x + x = 90
Then we can solve for x:
2x + x = 90
3x = 90
x = 30
How do I add mixed numbers?
If A is the center of the circle which of these is the radii
Answer:
A-b because radius is the line segments from its center to its perimeter
Step-by-step explanation:
Factorize the expressions
px2 + qx
Answer:
SOLUTION
HERE,
=X(P.2+Q)
=X(2P+Q)
Answer:
x(px+q) ( I took x as a common and the remaining are some
#13) Mrs. Frye says that the following triangles are congruent. Is she correct? Why or why not?
Answer: The following triangles are congruent.
what is the domain and range of : {(2,4) (3'6) (4,8) (5,10) (6,12)}
Answer:
2,3,4,5,6 is the domain
4,6,8,10,12 is the range
Step-by-step explanation:
Answer:
The domain is {2,3,4,5,6} and the range is {4,6,8,10,12}.
Step-by-step explanation:
Find the value of a
I’m decided go between 40 and 6.4
How much does Bethany spend in week 4?
Is the sentence Equivalent or non equivalent 12:24,50:100
Therefore, the sentence is Equivalent.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Please help me answer
Answer: Second Choice
Step-by-step explanation:
John Marlow's total income last year was $31,300. Of that amount, he spent
$7,900 for food. What percent of Jon's total income did he spend for food? *
25%
40%
50%
85%
Based on the information given the percent of Jon's total income did he spend for food is 25%.
Using this formula
Percent of total income=Amount spent for food/Total income last year
Where:
Amount spent for food=$7,900
Total income last year=$31,300
Let plug in the formula
Percent of total income=$7,900/$31,300
Percent of total income=25%
Inconclusion the percent of Jon's total income did he spend for food is 25%.
Learn more about total income here:https://brainly.com/question/842469
3 1/3 of it is 10
I need help!
Not sure what your asking but i know from 3 1/3 of it is 10 means 3 1/3 equals 1/3rd of 10 but please tell me what your asking in the comment section ty
what does the u stand for in these problems? is it the same as r?
I think "u" stands for units. [tex]u^2[/tex] means units squared which is like saying ft^2 if you were looking for the area of something with feet dimensions. So in this case, the circle has a diameter of x units (u) and an area of x units^2 ([tex]u^2\\[/tex]). It is not the same as r. "r" is most always going to be used to represent the radius.
If Sandy memorizes 9 verses every 2 days, how many verses will Sandy memorize in 4,6, and 8 days. Write equivalent ratios to show the answer.
Answer:
4 Days = 18
6 Days = 27
8 Days = 36
4:18
6:27
8:36
Step-by-step explanation:
Answer:
4 days: 18 verses
6 days: 27 verses
8 days: 36 verses
Step-by-step explanation:
If Sandy memorized 9 verses every 2 days then to find how many she can memorize in 4, 6 and 8 days you multiply.
2 days: 9 verses (Multiply 2 times 2 to get how many she can memorize in 4 days. Multiply 2 times 3 to get 6 days. Multiply 2 times 4 to get 8 days. Then multiply the number of verses with the same number you multiplied the number of days.)
4 days: 18 verses
6 days: 27 verses
8 days: 36 verses