Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below.
(0,6)
(3, 0)
A.6
B.3
C.-2
D.2
Answers
Explanation:
The average rate of change from x = 0 to x = 3 is exactly the same as the slope of the line through the two points (0,6) and (3,0)
m = slope
m = (y2 - y1)/(x2 - x1)
m = (0-6)/(3-0)
m = -6/3
m = -2
The average rate of change is -2. The negative result indicates the slope is going downhill as you move from left to right.
Related Questions
The total global area of crops has increased from 44.2 million to
181.5 million
hectares between 2000 and 2014. Calculate the percentage increase Round this up to the
next whole number.
Answers
Answer:
311%
Step-by-step explanation:
The percentage change is calculated as ...
percent change = ((new value) -(old value))/(old value) × 100%
Filling in the numbers, we have ...
percent change = (181.5 -44.2)/44.2 × 100% ≈ 311%
The global area increased by 311% over the interval.
A chord cuts off a 120 degree arc. If the radius of the circle is 26 inches, find the
chord length
Answers
Answer:
26sqrt(3)
Step-by-step explanation:
You end up with two 30-60-90 triangles.
26/2 = 13
2 * 13 * sqrt(3) = 26sqrt(3)
The price (p), in cents, of a sweet is directly proportional to the mass (m) of the
sweet.
When the sweet cost 55 cents, the mass is 220 g. Find
(a) the equation connecting p and m.
(b) the mass, in grams, of a sweet which cost 540 cents,
(c) the cost of a sweet in cents, with a mass of 115 g
Answers
a = k • b where k is the constant
Since we are given the letter variables, replace a and b.
p = k • m
Part (a)
We know p = 55 cents when m = 220g, insert those values in equation:
55 = k • 220
55/220 = k
k = 1/4
Therefore, equation connecting p and m is:
p = 1/4 • m
Part (b)
We know p = 540 and we know k ( constant term )
540 = 1/4 • m
540 x 4 = m
m = 2160g
Part (c)
We know m = 115g, k is constant and therefore remains 1/4
p = 1/4 x 115g = 28.75 cents
~Hoodini, hope this helps.
Which table represents a linear function?
Answers
Answer:
last one
Step-by-step explanation:
I've been stuck on this for a bit, and I'm still figuring this out in the process. a little help?
Answers
Steps to solve:
4x + 1/3y^2 when x = 2 and y = 3
~Substitute
4(2) + 1/3(3)^2
~Simplify
8 + 1/3(9)
~Simplify
8 + 3
~Add
11
Best of Luck!
The pounds of produce purchased at a grocery store on Friday between 1:00 p.m. and 6:00 p.m. is
shown:
8, 14, 15, 20, 9, 7, 5, 10, 12, 16, 9, 11, 13, 8, 14, 7, 11, 18, 20, 24, 15, 10, 8, 5, 4, 6, 10, 7, 9, 11, 13, 12, 11, 14, 13,
10, 8, 17, 9, and 11.
Which set of sample data is needed to best represent the population mean?
the first five customers
the first ten customers
the first twenty customers
the first twenty-five customers
Answers
Answer:
The correct option is;
The first twenty-five customers
Step-by-step explanation:
For the given data, by calculation, we have;
The population average = 11.45
The average of the first five customers = 13.2
The average of the first ten customers = 11.6
The average of the first twenty customers = 12.5
The average of the first twenty-five customers = 11.72
Therefore both the first ten customers and the first twenty-five customers have good representation of the population mean with the mean of the first ten customers having a value of 11.6 is more closer to the population mean than the mean of the first twenty-five customers
However, by the central limit theorem, as the size of the sample continues to be increasingly larger, it becomes more and more representative of the population mean, this is more so because when the data is sorted, the population mean will be better represented by the mean of a large sample size
Hence the set of sample data needed to best represent the population mean is the first twenty-five customers.
PLEASE HELP ASAP i don’t have much time.
Answers
Answer:
[tex]x=-3, d=2, e=3[/tex]
Step-by-step explanation:
[tex]\frac{9a^3b^5}{-3ab^2} =\frac{9}{-3} \cdot\frac{a^3}{a} \cdot \frac{b^5}{b^2}[/tex]
Recall how to divide exponents. For instance, [tex]a^3/a^1=a^{3-1}=a^2[/tex].
[tex]=-3a^2b^3[/tex]
Thus, [tex]x=-3, d=2, e=3[/tex]
Can someone help me with the name of this shape?
Answers
Answer:
The shape is a Trapezium or trapezoidHope this helps you
Please answer this in two minutes
Answers
Answer:
30
Step-by-step explanation:
a^2 + b^2 = c^2
(8sqrt(3))^2 + b^2 = 16^2
64 * 3 + b^2 = 256
192 + b^2 = 256
b^2 = 64
b = 8
The ratio of the lengths of the sides of this triangle is
8 : 8sqrt(3) : 16
which reduces to
1 : sqrt(3) : 2
This is the ratio of the lengths of the sides of a 30-60-90 triangle.
m<W = 30 deg
Which graph represents the solution set of the system of linear inequalities below?
Answers
Answer:
C
Step-by-step explanation:
First you find which line is which.
The one with 5x in it is the steepest one, and we have to be above it due to the >.
The one with 2x in it is the least steep, and we have to be below it due to the <.
Graph C satisfies both these restrictions.
- 1 = 5 + x/6 Solve for the variable.
Answers
Hey there! :)
Answer:
x = -36.
Step-by-step explanation:
Starting with:
-1 = 5 + x/6
Begin by subtracting 5 from both sides:
-1 - 5 = 5 - 5 + x/6
-6 = x/6
Multiply both sides by 6:
-6 · 6 = x/6 · 6
-36 = x.
Answer:
x = -36
Step-by-step explanation:
- 1 = 5 + x/6
Subtract 5 on both sides.
-1 - 5 = x/6
-6 = x/6
Multiply both sides by 6.
-6 × 6 = x
-36 = x
If f(x)=3x+2, what is f(5)
Answers
Answer:
f(5) = 17Step-by-step explanation:
f(x)=3x+2
To find f (5) replace every x in f(x) by 5
That's
f(5) = 3(5) + 2
= 15 + 2
= 17Hope this helps you
Anyone please help me
Answers
Answer:
(a) 6
(b) 14
Step-by-step explanation:
Answer: (a) 6
(b) 14
Step-by-step explanation:
Let a represent the unknown digit for Chinese --> 70 + a
Let b represent the unknown digit for Mathematics --> 80 + b
Total scores ÷ Total number of tests = Average
[tex]\dfrac{78 + (70 + a) + (80 + b) + 62}{4}=76\\\\\\\dfrac{290 + a + b}{4}=76\\\\\\290 + a + b=304\\\\\\a+b=14[/tex]
The two digits must add up to 14.
The only options are: (9,5), (8,6), (7,7), (6,8), and (5,9),
Mathematics - Chinese
(9, 5) 89 - 75 = 14 LARGEST Difference
(8, 6) 88 - 76 = 12
(7, 7) 87 - 77 = 10
(6, 8) 86 - 78 = 8
(5, 9) 85 - 79 = 6 SMALLEST Difference
I need help! Thx :) 6th grade
Answers
Answer:
0.92
Step-by-step explanation:
To write a percent as a decimal, we divide the value by 100.
Divide 92 by 100.
[tex]\frac{92}{100}[/tex]
[tex]=0.92[/tex]
Answer:
0.92
Step-by-step explanation:
92/100=0.92
Fraction- 92/100 — 46/50 — 23/25
OMDS JUST HELP ME PLS GUYS I CANT
Answers
Answer:
Hey there!
There are a total of 20 children, and 2+6, or 8 are girls.
Thus the probability of choosing a girl is 8/20, or 2/5.
There are 2 left handed girls, so the probability is 2/20, or 1/10.
Hope this helps :)
Answer:
see below
Step-by-step explanation:
There are 2+6 = 8 girls
P( girl) = number of girls/ total = 8/20 = 2/5
P( left handed girl) = number of left handed girls/ total = 2/20 = 1/10
The child has been diagnosed with rickets. The child’s mother is educated about the importance of providing the child with 10 micrograms (400 International Units) of an oral vitamin D supplement each day. The child’s mother purchases over-the-counter vitamin D drops. The supplement is noted to contain 5 mcg of vitamin D in each 0.5 mL. How much of the supplement should the mother administer to the child each day? Record your answer using one decimal place.
Answers
Answer:
1.0 mL each day
Step-by-step explanation:
The required daily dosage of vitamin D is 10 micrograms.
The supplement contains 5 micrograms per 0.5mL.
The volume of supplement necessary to fulfill the daily requirements of vitamin D is:
[tex]V=\frac{0.5\ mL}{5\ mcg}*10\ mcg\\ V=1.0\ mL[/tex]
She should administer 1.0 mL of the supplement each day.
A charter airline finds that on its Saturday flights from Philadelphia to London all 160 seats will be sold if the ticket price is $200. However, for each $3 increase in ticket price, the number of seats sold decreases by one.
Answers
Missing part of the question is;
Find a formula for the number of seats sold if the ticket price is P dollars.
Answer:
(680 - P)/3
Step-by-step explanation:
A) Let x be equal to the number of seats and hence we can conclude that (160 - x) is equal to the number of seats after the increase in price.
Similarly, the increase in ticket price would be equal to (P - 200)
Due to the fact that for every $3 increase, the number of seats decrease by 1, the equation that links the change in the number of seats to the change in ticket price is;
P - 200 = 3(160 - x)
P = 3(160 - x) + 200
Making x the subject;
P = 480 - 3x + 200
P = 680 - 3x
3x = 680 - P
x = (680 - P)/3
Jennifer had $80 to spend on herself. She spent 1/5 of the money on a sandwhich, 1/6 for a ticket to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?
Answers
Answer:
$10.67
Step-by-step explanation:
Jennifer has a total amount of $80 to buy what she needs
1/5 of the money is spent on sandwich
= 1/5×80
= $16
The amount spent on sandwich is $16
1/6 of the money is spent on tickets to a museum
= 1/6×80
= 0.166×80
= $13.33
The amount spent on tickets is $13.33
1/2 of the money is spent on a book
= 1/2×80
= 0.5×80
= $40
The amount spent on a book is $40
Therefore, to calculate the amount left on her we add the total money spent and subtract it from the original amount of money that she has to spend
= $80-$16+$13.33+$40
= $80-$69.33
= $10.67
Hence the amount of money left on Jennifer is $10.67
please help i will give out brainliest
Answers
Answer:
6, 0, 10
b
Step-by-step explanation:
If f(x) is the total number of bacteria present in a sample after x hours, which of the following statements best describes the meaning of f(2) = 12? (1 point) The total number of bacteria present in the sample after 12 hours is 2. The total number of bacteria present in the sample after 6 hours is 2. The total number of bacteria present in the sample after 2 hours is 12. The total number of bacteria present in the sample after 6 hours is 12.
Answers
Answer:
The total number of bacteria present in the sample after 2 hours is 12.
Step-by-step explanation:
In the function f(2) = 12, 2 represents x, and 12 represents the output when x is equal to 2.
In the context of this problem, this means that f(2) = 12 represents how in 2 hours, there were 12 bacteria present in the sample.
Answer:
The total number of bacteria present in the sample after 2 hours is 12.
Step-by-step explanation:
f(x) is the total number of bacteria, while x is the number of hours. We are given:
f(2)=12
2 is x (the input) and 12 is f(x) (the output).
Since x=2 and x=number of hours, 2 describes the number of hours.
Since f(x)= 12 and f(x)= number of bacteria, 12 describes the number of bacteria.
Therefore, after 2 hours, the total number of bacteria present is 12.
can someone help me do this please
Answers
Answer:
d = 13.9965 in
Step-by-step explanation:
Area of a Circle Formula: A = πr²
diameter = 2r
Step 1: Plug in known variables
153.86 = πr²
Step 2: Solve for r
153.86/π = r²
r² = 48.9752
r = √48.9752
r = 6.99823
Step 3: Find d
d = 2(6.99823)
d = 13.9965
Answer:
Step-by-step explanation:
We khow that the area of a cercle is :
A= r²*π where r is the radius
A= 153.86 in²
so : r² = 153.86/π = 48.97 ≈ 49
then r = 7
so the diameter is 14 in
(03.02 MC) Some researchers claim there is an association between getting a tattoo and contracting hepatitis C. They took a random sample of people living in Los Angeles, California, and recorded whether they had a tattoo and whether they were infected with hepatitis C. The results are shown in the following two-way table: Has Hepatitis C Does Not Have Hepatitis C Does not have a tattoo 5 50 Has one tattoo 10 210 Has more than one tattoo 15 150 If a person is chosen at random, what is the probability that he or she has hepatitis C, given that he or she has one tattoo? (2 points) Select one: a. 0.045 b. 0.333 c. 0.05 d. 0.50
Answers
Answer:
The correct option is (b) 0.333.
Step-by-step explanation:
The data provided is as follows:
Hepatitis C No hepatitis C Total
No Tattoos 5 50 55
1 Tattoo 10 210 220
> 1 Tattoo 15 150 165
Total 30 410 440
The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.
[tex]P(E)=\frac{n(E)}{N}[/tex]
The condition probability of an event A provided that another event X has already occurred is:
[tex]P(A|X)=\frac{P(A\cap X)}{P(X)}[/tex]
The number of people who has hepatitis C is:
n (Hepatitis C) = 30
The number of people who has hepatitis C and one tattoo is:
n (Hepatitis C and 1 Tattoo) = 10
Compute the probability that he or she has hepatitis C, given that he or she has one tattoo as follows:
[tex]P(\text{Hepatitis C} |\text{1 Tattoo})=\frac{n(\text{Hepatitis C and 1 Tattoo})}{n(\text{1 Tattoo})}[/tex]
[tex]=\frac{10}{30}\\\\=\frac{1}{3}\\\\=0.333[/tex]
Thus, the correct option is (b).
The probability that he or she has hepatitis C, given that he or she has one tattoo will be 0.333. Then the correct option is B.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The table is given below.
Hepatitis C No hepatitis C Total
No Tattoos 5 50 55
1 Tattoo 10 210 220
> 1 Tattoo 15 150 165
Total 30 410 440
The number of people who has hepatitis C is 30. And the number of people who has hepatitis C and one tattoo is 10.
The probability that he or she has hepatitis C, given that he or she has one tattoo will be
P = 10/30
P = 1/3
P = 0.333
The probability that he or she has hepatitis C, given that he or she has one tattoo will be 0.333. Then the correct option is B.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
What is the solution for x in the given equation? sgrt9x+7+sgrt2x=7
Answers
Hope that helps!
(Please Mark as Brainliest!)
find the square root of 100 5.75
Answers
Answer:
10 and 2.4
Step-by-step explanation:
100 is 10*10 so: [tex]\sqrt{100}[/tex] = 10
5.75 is a decimal number
[tex]\sqrt{5.75}[/tex] = 2.39≈ 2.4
7 6/11, 149/20, 7.431, 7.46 order from least to greatest
Answers
→Answer:
7.431, 149/20, 7.46, 7 6/11
→Step-by-step explanation:
Well, first let's make all the numbers in decimal form.
7.5454 - 7 6/11
7.45 - 149/20
7.431
7.46
So, we can order them now.
7.431, 7.45, 7.46, 7.5454
Now we can put them back into their original status.
7.431, 149/20, 7.46, 7 6/11
____________________________________________________________
can I get help with this question. I need to find the value of x
Answers
Step-by-step explanation:
sides of 2 triangles are proportional
x/12=28/21
x=16
=======================================================
Explanation:
The diagonal pieces are 28 and 21. They pair up to get the fraction 28/21
The horizontal pieces are x and 12, in the same order from left to right. The order is important (so things pair up properly). We get the fraction x/12
-------
Set the two fractions equal to each other and solve for x
28/21 = x/12
28*12 = 21*x .... cross multiply
336 = 21x
21x = 336
x = 336/21 .... divide both sides by 21
x = 16
In a class of 26 students, 15 of them like maths, 13 of them like English and 9 of them don't like Maths or English. Find the probability that a student chosen at random likes English but not Maths
Answers
Answer: 0 0769
Step-by-step explanation:
Let x be the number of students that offer both subjects
15 - x + x + 13 - x + 9 = 26
-x + 37 = 26
-x = -11
x = 11
Number of student that offer english but not math = 13 - 11 = 2
The probability of english but not math = 2/26 = 0.0769
The probability that a student likes only Maths but not English is 2/13.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Let, N(U) = 25 the total number of students.
Similarly, N(M) = 15 and N(E) = 13.
9 students Maths or English.
So, The number of students like both subjects, N(M∩E) = 13 + 15 - 17.
N(M∩E) = 11.
N(E∩M') = N(M) - N(M∩E). (only English)
N(E∩M') = 15 - 11.
N(E∩M') = 4.
Therefore, The probability that a student likes only English but not maths is,
= 4/26.
= 2/13.
learn more about probability here :
https://brainly.com/question/743546
#SPJ6
the qestion is the picture
Answers
Answer:
-2/9
Step-by-step explanation:
Answer:
the answer is C. - 2/9!!!!!!
Step-by-step explanation:
In a division equation, quotient is the answer derived after dividing the dividend by the divisor. To continue with our sample word problem, all we need to do to find the quotient of the division word problem, is to divide the dividend by the divisor sooo we just Divide: -2 / 9 = -0.222222222222 = -2/9! the answer is going to be C.!
hope this helped!
simplify 5x5^2 leaving your answer in index form
Answers
Answer:
5 power 3
Step-by-step explanation:
the answer of 5 power 2 is 25,multiply by 5 to get 125,make 5 the base to get your answer
Answer:
5^3
Step-by-step explanation:
5x5^2= 25x5=125
Now that is equivalent to 5^3
5x5x5=125
answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!
Answers
Step-by-step explanation:
The total amount of seat in the train is the total number of carriages multiplied by the number on each carriages = 32 × 15 = 480seats
A. number of trains needed for 350,000 passengers = 350,000/ 480 = 729 trains approximately
Answer:
like he said up their.
Step-by-step explanation: