Question 4(Multiple Choice Worth 5 points)
(05.03 MC)A graph is shown below:
A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9, 18, 27, 36, and 45. Points are shown on ordered pairs 0, 36 and 3, 27 and 6, 18 and 9, 9 and 12, 0. These points are connected by a line
What is the equation of the line in slope-intercept form?
y = 36x − 3
y = −3x + 36
y = −3x + 12
y = −12x + 3
Answers
Answer:
y = -3x + 36
Step-by-step explanation:
first let's start with a formula.
y = mx + b
m equals the slope and b equals the y intercept.
slope can also be indetified as a rate of change.
so, looking at the graph we can see that the y intercept is (0, 36) or 36 and the rate of change is 3 subtracted.
sorry if this is wrong im not too sure myself. and sorry this is 5 years late, but alas it's too late to turn back now since i have already wrote all this.
Related Questions
A woman bought a dress at a discount of 16 2/3. If the woman paid 32.50, what was the original price of the dress
Answers
= 32.50 + 16 2/3
= 32.50 + 50/3
convert to one form of fractions (improper or decimal)
= 49 1/6
= 49.16
--------------------------------------
In case of 16 2/3 % discount of the original price:
price after discount = price before discount - discount
= x - 16 2/3 % of x
= x - 01667x
= 0.833 x
32.5 = 0.833 x
then x = 32.5/0.833 = 39.015 =~ 39
hope that helps
Ralph sold brownies for $0.27 a piece in order to earn money to buy baseball cards. If the cards cost $0.54 per pack, and if Ralph had no money left over after buying them, what is the least number of brownies he must have sold?
Answers
What is the next term in the sequence below?
-321,108,-36,12,.....
Answers
a(n)=ar^(n-1), in this case a=-324 and r=-1/3 so
a(n)=-324(-1/3)^(n-1) so the 5th term will be
a(5)=-324(-1/3)^4
a(5)=-324/81
a(5)= -4
The next term for the given series will be equal to a(5) = -4.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series.
This is a geometric sequence with a common ratio of -1/3 and an initial term of -324. Any geometric sequence can be expressed as:
a(n) = [tex]ar^{n-1}[/tex], in this case a=-324 and r=-1/3 so
a(n) = -324(-1/3)[tex].^{n-1}[/tex] so the 5th term will be
a(5) = -324(-1/3)⁴
a(5) = -324/81
a(5) = -4
Therefore the next term for the given series will be equal to a(5) = -4.
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Answers
A motorboat
travels 222 km in 6 hours going upstream.
Rate = distance/time = 222/6 = 37 km/hr
----------------------
It travels 390 km going downstream in the same amount of time.
Rate = distance/time = 390/6 = 65 km/hr
---------
What is the rate of the boat in still water and what is the rate of the
current?
Equations:
Upstream: b-c = 37 km/hr
Downstrm: b+c = 65 km/hr
Add and solve
for "b":
(2)b = 102 km/hr
b = 51 km/hr (speed of the boat in still water)
-----
Solve for "c":
b+c = 65
51 + c = 65
c = 14 km/hr (speed of the current)
angelina is working with function machines. She has the two machines shown at right. She wants to put them in order so that the output of the first machine becomes the input of the second. She wants to use a beginning input of 6. In what order must she put the machines to get a final output of 5?
Answers
In = Out
Input value is 6 and output is 5 plus (the remaining value) x
6 = 5 + x
We need to determine x:
6 = 5 + x
1 = x
So there should be another output, it could be a waste stream of 1 from machine 2 to balance the system.
Which property is illustrated in this problem?
33 + 0 = 33
Answers
It states that the sum of any number and 0 is that number.
Solve:
y^6 (y^5)
plz i put eleven idk why se says it's wrong :c
Answers
Find the height of a triangle with an area (A) of 35 square inches and base (b) of 7 inches. Use the formula for the area of a triangle, A=1/2bh
Answers
2A=bh
h=2A/b, we are given that A=35 in^2 and b=7 in
h=2(35)/7
h=10 in
Height of the triangle is 10 inches
What is Triangle ?A triangle is a polygon with three edges and three vertices.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Given,
Area of the triangle = 35 square inches
Base of the triangle = 7 inches
Area of the triangle = [tex]\frac{1}{2}bh[/tex]
where,
b is the base length and h is the height
Substitute the values in the equation
[tex]35=\frac{1}{2}(7)(h)\\ 35=3.5h\\h=\frac{35}{3.5}[/tex]
Height h = 10 inches
Hence, the height of the triangle is 10 inches
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Which of the following volumes represent a perfect cube? CHECK ALL THAT APPLY.
A. 1 in.3
B. 4 in.3
C. 8 in.3
D. 12 in.3
E. 25 in.3
F. 27 in.3
G. 64 in.3
Answers
Answer: A C F G
Step-by-step explanation:
The volumes that represent perfect cubes are A ) 1 inch³, C) 8 inch³, F) 27 inch³ and G) 64 inch³.
What is meant by Perfect Cubes?Perfect cubes are defined as the number which is the result of the multiplication of another number, likely integers, to itself three times.
For example, 8 = 2 × 2 × 2
So 8 is a perfect cube of 2.
Given are a set of volumes in cubes.
A ) 1 inch³ can be written as 1 inch × 1 inch × 1 inch
So it is a perfect cube.
B) 4 inch³ cannot be written as the product of a number thrice.
So not a perfect cube.
C) 8 inch³ = 2 inch × 2 inch × 2 inch
Perfect cube
D) 12 inch³ not a perfect cube.
E) 25 inch³ not a perfect cube
F) 27 inch³ = 3 inch × 3 inch × 3 inch
Perfect cube
G) 64 inch³ = 4 inch × 4 inch × 4 inch
Perfect cube
Hence the perfect cubes are found.
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How many times will 1/5 go into 37
Answers
1/5 will go into 37 185 times.
you need 5 1/5ths to make a whole, because in 5/5, there are 5 1/5ths. 5*37=185
Therefore, 5 goes into 37 185 times
hope this helps:))
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What is X/60=700 ?
Plz help it's due tomorrow
Answers
help someone plz
A student needs to make a rectangular cardboard piece that is 12 inches long. The area of the cardboard piece should be between 60 square inches to 300 square inches. The function f(w) relates the area of the cardboard, in square inches, to the width w in inches. Which of the following shows a reasonable domain for f(w)?
A: 2 ≤ w ≤ 5
B: 5 ≤ w ≤ 25
C: 25 ≤ w ≤ 60
D: 60 ≤ w ≤ 300
Answers
area = L x w
60 = 12 x w
w=60/12 = 5
300 = 12 x w
w = 300/12 = 25
so B is the correct answer
Answer:
Option B
[tex]5 \leq w \leq 25[/tex]
Step-by-step explanation:
Let
L------> the long of the cardboard piece
W-----> the width of the cardboard piece
The area of cardboard piece is equal to
[tex]A=L*W[/tex]
In this problem we have
[tex]L=12\ in[/tex]
so
[tex]A=12W[/tex]
[tex]f(W)=12W[/tex]------> equation A
[tex]f(W)\geq 60\ in^{2}[/tex] ------> inequality B
[tex]f(W)\leq 300\ in^{2}[/tex] ------> inequality C
Substitute equation A in the inequality B
[tex]12W\geq 60\ in^{2}[/tex]
[tex]W\geq 60/12[/tex]
[tex]W\geq 5\ in[/tex]
Substitute equation A in the inequality C
[tex]12W\leq 300\ in^{2}[/tex]
[tex]1W\leq 300/12[/tex]
[tex]1W\leq 25\ in[/tex]
The domain for the function f(W) is equal to the interval------> [tex][5,25][/tex]
Jennifer can clean her room in 2 hours, while John can clean the same room in 5 hours. How many hours would it take for them to clean the room together?
7
10
seven tenths
ten sevenths
I think the answer is tenth sevenths but im not sure! Please Help ASAP
Answers
Answer: ten sevenths
Step-by-step explanation:
Given: Time taken by Jennifer to clean her room [tex]t_1= 2 \text[ hours}[/tex]
Time taken by John to clean same room [tex]t_2= 5\text[ hours}[/tex]
If they work together to clean the room , then the total time taken by them is given by :-
[tex]\dfrac{1}{t}=\dfrac{1}{t_1}+\dfrac{1}{t_2}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{2}+\dfrac{1}{5}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{5+2}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{7}{10}\\\\\Rightarrow\ t=\dfrac{10}{7}\text{ hours}[/tex]
Determine the range of: f(x) = 13 - 20x - x^2 -3x^4. Also, find the max. And min. Values and state where those values occur
Answers
The range of the graph refers to the coverage of y-values of the curve. From the picture, we could see that it covers most of the negative y-axis. To know at which value, let's find the maxima. There is no minima for this graph as you can see because it extends downwards infinitely at both sides.
To find the maxima, differentitate f(x) with respect to x and equate to 0
f'(x) = 0 = -20-2x-12x^3=0
You can find the roots easily by using a scientific calculator using the mode EQN. For this equation, there are 2 complex root and 1 real root. Thus, x = -1.14. Substitute this to the original equation:
y = 13 - 20(-1.14) - (-1.14)^2 -3(-1.14)^4
y = 29.433
Thus, the maxima is at point (-1.14,29.433). It can't be seen clearly in the graph because of the close intervals.
Write the equation of a linear function in point-slope form and slope-intercept form for a line that passes through point A(3,-7) and has an undefined slope.
Answers
The dot plot below shows the hourly rate of some babysitters in a city: A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 2 dots above 4 dollars, 3 dots above 5 dollars, 3 dots above 6 dollars, and 2 dots above 7 dollars. The title of the line plot is Babysitting Rates. Which statement best describes the shape of the data? It is symmetric and has no gaps. It is not symmetric and has a peak at $7.00. It is a cluster from $1.00 to $7.00 and has no gaps. It is a cluster from $1.00 to $7.00 and has a peak at $6.00.
Answers
Answer:
D
Step-by-step explanation:
it did this test
Eight states in the united states start with the letter M. What fractions of states in simplest form,begins with the leter M?
Answers
fraction of states beginning with M = 8/50 reduces to 4/25 <==
find the area of the circle with diameter of 11mm leaving answer in terms of pi
Answers
r=d/2=11/2=5.5
area=π*30.25=30.25π
When is factoring by grouping easier to use. How many terms must you have to have ?
Does anybody know??? :/ ;c
Answers
For example...
x^2 + 10x + 2x + 20
(x^2 + 10x) + (2x + 20)
x(x+10) + 2(x+10)
(x+2)(x+10)
The first line, the expression x^2+10x+2x+20, has four terms.
Note: Just because you have four terms doesn't automatically guarantee you can factor
A peregrine falcon can fly 332 kilometers per hour. How many meters per hour can the falcon fly?
Answers
332 x 1000 = 332,000
A peregrine falcon can fly 332,000 meters per hour. Hope this helps!
~Ash
If sin(x)=0.3090 , what is the approximate value of csc(x)?
0.5559
1.3090
3.2362
10.4733
Answers
3.2362
ExplanationTo solve this, we are going to use the trig identity: [tex]csc(x)=\frac{1}{sin(x)}[/tex]
We know that our problem that [tex]sin(x)=0.3090[/tex], so let's replace the value in our identity:
[tex]csc(x)=\frac{1}{sin(x)}[/tex]
[tex]csc(x)=\frac{1}{0.3090}[/tex]
[tex]csc(x)=3.2362[/tex]
We can conclude that the approximate value of [tex]csc(x)[/tex] is 3.2362.
The approximate value of csc(x) is 3.2362
Trigonometric ratios:csc ∅ = 1 / sin ∅sec ∅ = 1 / cos ∅cot ∅ = 1 / tan ∅since sin x = 0.3090
Therefore,
1 / sin x = csc x
Then
csc x = 1 / 0.3090
csc x = 3.23624595469
csc x ≈ 3.2362
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if angle ABC measured 90, what is the measure of arc AC
Answers
hope this helps:)
please mark thanks and brainliest:)
The measure of arc arc [tex]AC[/tex] will be [tex]90^0[/tex] .
What is arc ?Arc is the part or segment of the circumference of a circle which is drawn between two points and an angle. And length of arc is known as arc length.
i.e. Arc length [tex](L)=\frac{\theta}{r}[/tex]
And "The measure of an arc is equal to the measure of the central angle that intercepts it".
We have,
[tex]\theta = 90^0[/tex]
So,
From the above mentioned statement i.e.,
"The measure of an arc is equal to the measure of the central angle that intercepts it".
We can say that,
The measure of arc [tex]AC=90^0[/tex]
Hence, we can say that the measure of arc arc [tex]AC[/tex] is [tex]90^0[/tex].
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Find the measure of angle AOE in the diagram below.
Help will be appreciated!
Answers
Answer:
We choose D
Step-by-step explanation:
Given that:
∠BOA = (3x -28) degrees ∠COD = (66 -x) degrees ∠BOC = 90 degreesAs we know that ∠BOA + ∠COD + ∠BOC= 180 degrees because AD is a straight line, so we have:
(3x -28) + (66-x) +90 = 180
<=> 2x = 52
<=> x = 26 degrees.
=> ∠BOA = 3*26 - 28 = 50 degrees
As we can see that, ∠BOA = ∠DOE (The properties of two straight lines intersect)
<=> ∠DOE = 50 degrees
Once again, the AD is a straight line, so we have:
∠DOE + ∠AOE = 180
<=> ∠AOE = 180 - ∠DOE
<=> ∠AOE = 180 - 50 = 130 degrees
We choose D
Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours. She works for x hours in a day and x is greater than 8, the expression giving her net earnings for the day is
A. x(80+1.5)
B. (x-8)1.5
C. 80+15 (x-8)
D. (8)(15)(x-8)
Answers
With that this is the solution step by step:
1) Number of hours worked: x
2) Rate for the first 8 hours: $10 per hour
2) Pay for the first 8 hours = $10 * 8 = $80
3) Number of hours worked over 8 hours = x - 8
4) Rate for the hours worked over 8: 1.5 times $10 per hour = $15 per hour
5) Pay for the hours worked over 8 = $15 (x - 8) = 15 (x - 8)
6) Total pay = 80 + 15 (x - 8)
That is the option C.
Answer: option C. 80 + 15(x - 8)
the answer is option C
factors of 212 like finding a common factor its really hard because the number is so high please please HELP ME!!!!!!!
Answers
Answer:
1.2..17.5
Step-by-step explanation:
i had been singing for the operpopitay
order the numbers from least to greatest. 3 29\40, 3 19\20, 3 1\2
Answers
29/40= 0.725
19/20 = 0.95
1/2 = 0.50
least to greatest = 3 1/2 , 3 29/40 , 3 19/20
During an epidemic, the number of people who have never had the disease and who are not immune (they are susceptible) decreases exponentially according to the function f(x) = 15000e-^(0.05t) , where t is time in days. Find the number of susceptible people at each time below.
At the beginning of the epidemic
After 14 days
After 21 days
After 5 weeks
Answers
Solving this problem is just pretty straight forward. All we simply have to do is to plug in the value of t (in days) in the function, solve then we get the number of susceptible people.
A. At the beginning of the epidemic
t = 0
f(x) = 15000 e-^(0.05 * 0)
f(x) = 15000
B. After 14 days
t= 14
f(x) = 15000 e-^(0.05 * 14)
f(x) = 7,448.78 = 7,449
C. After 21 days
t = 21
f(x) = 15000 e-^(0.05 * 21)
f(x) = 5,249
D. After 5 weeks
t = 5 * 7 = 35
f(x) = 15000 e-^(0.05 * 35)
f(x) = 2,606.61 = 2607
To find the number of susceptible people during an epidemic at various time intervals, we apply the given exponential function for t=0, 14, 21, and 35 days. This yields 15,000 susceptible individuals at the start, approximately 7439 after 14 days, about 5141 after 21 days, and around 2430 after 5 weeks.
The student asks about the number of susceptible people during an epidemic at various points in time, given by the function f(t) = 15000e-0.05t, where t is time in days. To find the number of susceptible people, we substitute the given times into the function:
At the beginning of the epidemic (t=0): f(0) = 15000e0 = 15000.After 14 days (t=14): f(14) = 15000e-0.05*14 = 15000e-0.7 extapprox 7439.After 21 days (t=21): f(21) = 15000e-0.05*21 = 15000e-1.05 extapprox 5141.After 5 weeks (35 days, t=35): f(35) = 15000e-0.05*35 = 15000e-1.75 extapprox 2430.This exponential function represents the number of people who remain susceptible as the epidemic progresses, assuming no one gains immunity other than through infection (no vaccination, and disease-induced immunity only).
The table shows the number of students in a school who like tacos and/or pizza: Like Tacos Do Not Like Tacos Total Like Pizza 57 13 70 Do Not Like Pizza 12 15 27 Total 69 28 97 What is the relative frequency, by row, of students who like both tacos and pizza? 0.18 0.46 0.81 0.83
Answers
The relative frequency of students who like both tacos and pizza is [tex] \frac{57}{70} [/tex] which as decimal is 0.81
what's the Least common multiple for 2,6,8?
Answers
6= 2*3
8= 2*4
8= 2*2*2
The lcm of these three numbers equals 2*2*2*3*1. Notice how we only multiply 3 sets of 2. This is because 2 is a common factor between all 3 of the numbers.
2*2*2*3*1= 24
Final answer: 24
Ryan is looking for the sum of the cube of a number, n, and 16.
What is the sum Ryan is looking for if n = 2?