The linear function graphed is defined as follows:
y = 3x/2 - 3.
(third option).
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when the graph crosses the y-axis.The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:
b = -3.
When x increases by 2, y increases by 3, hence the slope m is given as follows:
m = 3/2.
Then the function is defined as follows:
y = 3x/2 - 3.
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Consider that sin θ = 0.819.Select Yes or No to tell whether the statement is possible.
A. Cos θ=0.819B. cos θ= -0.574 C. cos θ= 0.574
Answer:
A. No
B. Yes
C. Yes
Explanation:
Given that:
\(\sin\theta\approx0.819\)First, find an approximate value for θ.
\(\theta=\arcsin(0.819)\approx54.98\degree\)• Sine is positive in the first and second quadrant.
,• Cosine is positive in the first quadrant and negative in the second quadrant.
\(\begin{gathered} \text{ In the first quadrant: }\cos54.98\approx0.574 \\ \text{ In the second quadrant:}\cos(180-54.98)=-\cos54.98=-0.574 \end{gathered}\)Therefore, we have Options B and C to be possible. i.e.
• A. No
,• B. Yes
,• C. Yes
42% of what number is 38.22?
Answer:
42% of 91 is 38.22
write equation in standard form
Answer:
x - 2y = 4
Step-by-step explanation:
Parallel lines have equal slopes.
The given line has a slope of 1/2
so the required line is
y = -5 + (1/2) (x + 6)
Multiply by 2 on both sides,
2y = -10 + x + 6
so
x - 2y = 4
Determine whether the given point is the solution to the given system.
(-6, 6)
X + y = 0
x - y = -12
Yes
Ο Νο
The length of ribbons found at a seamstress are listed.
3, 11, 11, 13, 13, 21
What is the appropriate measure of variability for the data shown, and what is its value?
The mean is the best measure of variability and equals 11.
The median is the best measure of variability and equals 11.5.
The range is the best measure of variability and equals 18.
The IQR is the best measure of variability and equals 2.
Find the value of x... Please look at the attachment below
What is 4 ÷ 3/5 ?
6
6 and two-fifths
6 and two thirds
8
Which of the following are solutions to the equation below?
Check all that apply.
3x2 + 27 x = 30
A. -1
B. -10
C. -2
D. -2
E. 1
F. 10
Answer:
The answer is B. -10 and E. 1
odds against a randomly chosen household having a cat if the probability of the event that a randomly chosen household has a cat is .21
Step-by-step explanation:
Odds against = failures / successes
Probability = successes / (successes + failures)
0.21 = cats / (cats + no cats)
1 / 0.21 = (cats + no cats) / cats
4.76 = 1 + (no cats / cats)
3.76 = no cats / cats
So the odds against are 3.76 to 1.
In a local city the temperature at noon is -3 Celsius the temperature is expected to decrease by 2.5 sell each hour until the temperature reaches -18 Celsius how many hours will it take for the temperature to reach -18 Celsius
Answer:
Gucci is expensive
Step-by-step explanation:
Buy some gucci and any designer brand to flex at your friends.
34 miles
30 mph
How much time will it
take for these two
vehicles to meet?
55 mph
[?] hours
Answer:
0.4 hours
Step-by-step explanation:
or 24 minutes :D
A red bowl, a green bowl, and a blue bowl are on the kitchen table. Alan places one egg into a randomly selected bowl. Then Bethany places one egg into a randomly selected bowl. X = # of eggs placed into the red bowl. Y = # of empty bowls at the end of the experiment. Draw a table describing the joint probability mass function of X and Y. (Advice: start by drawing a tree diagram.) Please show all steps.
There is insufficient information so the joint probability mass function of X and Y.
given that
there are three bowls they are a red bowl , a green bowl and a blue bowl are on the kitchen table
alan places one egg into a randomly selected bowl.
X = # of eggs placed into the red bowl
Y = # of empty bowls at the end of the experiment.
the joint probability mass function of X and Y
1. Not sufficient
R=5
let us consider when G = 2 , B = 1 => P(G) = 2/8
when G=1, B=2 => P(G) = 1/8
2. Not Sufficient
P(B) = 1/3 = x/3x
But this doesn't tell us anything about B or total because P(B) = 1/3 , but it could also be 2/6 or 3/9 so on..
So we can have different B . Thus we can have different G combinations.
Together - Not Sufficient
P(B) = x/(3x) , R = 5
P(G) = 1- P( not G )
= 1- P(R or B)
But we cannot calculate this with out knowing P(R) and P(B).
we cannot solve this problem because there is no proper information is given.
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Hello. Help please
A company prints T-shirts. The equation C = 12n + 40 represents the cost of the T-shirts. Complete the table that shows the situation.
Answer:
Step-by-step explanation:
Q=+5414x=5
In the diagram below of triangle BCD, E is the midpoint of BD and F is the midpoint of CD. If EF = 43-4x, and BC = 32-2x, what is the measure of EF?
The measure of the length EF of the triangle is; 21
How to solve similar triangles?We are given the the triangle BCD and we are told that;
E is the midpoint of BD.
F is the midpoint of CD
Now, since we have those midpoints, it means that by the concept of similar triangles, that;
DF/DC = EF/BC
Since F is the midpoint of DC, then it means that;
2DF = DC
We are given;
EF = 43 - 4x, and BC = 32 - 2x
Thus, we now have;
DF/(2DF) = (43 - 4x)/(32 - 2x)
1/2 = (43 - 4x)/(32 - 2x)
Cross multiply to get;
32 - 2x = 43 - 4x
4x - 2x = 43 - 32
2x = 11
x = 11/2
x = 5.5
Thus;
EF = 43 - 4(5.5)
EF = 43 - 22
EF = 21
Thus, we conclude that the side length EF is 21.
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What sentence in this paragraph states a claim?
(1) Many people fear spiders much more than they should. (2) Only a few spiders have a poisonous bite, and most spiders are not interested in biting humans anyway. (3) Even black widow spiders will not make you as sick as most people believe. (4) And tarantulas, though big and hairy, are gentle enough to be kept by young children as pets.
(1) Many people fear spiders much more than they should. (2) Only a few spiders have a poisonous bite, and most spiders are not interested in biting humans anyway. (3) Even black widow spiders will not make you as sick as most people believe. (4) And tarantulas, though big and hairy, are gentle enough to be kept by young children as pets.
Many people fear spiders much more than they should. Therefore, sentence 1 in this paragraph states a claim.
What is claim?Claims are the author's justifications for a position in writing. The thesis, or major contention, of an essay is often what the author intends the reader to learn from it. A thesis statement presents a logical argument for a topic. A writer will frequently give supporting evidence for lesser statements in addition to the primary argument.
There will always be a justification for a claim that a writer makes on a subject. Justifications to a point of view are provided by reasons. For instance, when a writer argues that weapons should be outlawed, they may do so out of safety concerns or because they have firsthand knowledge of gun violence. Many people fear spiders much more than they should. Sentence 1 in this paragraph states a claim.
Therefore, sentence 1 in this paragraph states a claim.
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Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-3, 1) and point (4, 2) rounded to the nearest tenth?
Answer:
√(4 - ( - 3))^2 + (2 - 1)^2
√(4 + 3)^2 + (2 - 1)^2
√49 + 1
√50
7.07 = 7.1 units
Identify the y-coordinate
(9,[?])
Answer:
(9,16)
Step-by-step explanation:
We Know
The equation y = 3x - 2
Find the y coordinate (9, ?)
We just simply put 9 in for x and solve for y
y = 3(9) - 2
y = 18 - 2
y = 16
So, the coordinate are (9,16)
HELP BRAINIEST TO WHOEVER RIGHT
Answer:
180 degrees
Step-by-step explanation:
Two angles are called supplementary when their measures add up to 180 degrees.
5. A square on the coordinate plane has vertices
at A(-3,0), B(1, 2), C(2,-1), and D(-2,-4). After a
dilation using a scale factor of 3, what are the
new coordinates of D'?
Reason:
Multiply each coordinate of D(-2,-4) by the scale factor 3 to get (-6, -12)
In other words, triple each coordinate of point D.
This trick only works if the center of dilatioin is the origin.
In calculus, it can be shown that
e^x=infintesigmak=0 x^k/k!
We can approximate the value of for any x using the following sum e^x=infintesigmak=0 x^k/k!
a) Approximate e^2.2 n=3
Answer: \(7.39466666\)
Step-by-step explanation:
Setting \(x=2.2\) and \(n=3\),
\(e^{2.2} \approx \sum^{3}_{k=0} \frac{2.2^{k}}{k!}=\frac{2.2^0}{0!}+\frac{2.2^1}{1!}+\frac{2.2^2}{2!}+\frac{2.2^3}{3!} \approx 7.39466666\)
Answer:
7.39466667 (8 d.p.)
Step-by-step explanation:
We can approximate the value of eˣ for any x using the following sum formula:
\(\boxed{e^{x} \approx \displaystyle \sum^n_{k=0}\dfrac{x^k}{k!}}\)
To approximate \(e^{2.2}\) with n = 3, substitute x = 2.2 and n = 3 into the given sum formula:
\(e^{2.2} \approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\)
To calculate the sum, substitute k with each value from 0 to 3 and add the results together:
\(\begin{aligned}e^{2.2} &\approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\\\\&= \dfrac{2.2^0}{0!}+\dfrac{2.2^1}{1!}+\dfrac{2.2^2}{2!}+\dfrac{2.2^3}{3!}\\\\&= \dfrac{1}{1}+\dfrac{2.2}{1}+\dfrac{4.84}{2}+\dfrac{10.648}{6}\\\\&= 1+2.2+2.42+1.774666666...\\\\&=7.39466667\; \sf (8\;d.p.)\end{aligned}\)
Therefore, the approximate value of \(e^{2.2}\) is:
\(\large \textsf{$e^{2.2}$}=\boxed{7.39466667}\; \sf (8\;d.p.)}\)
Note: To obtain a more accurate approximate value, increase the value of n.
I need help please help me
Answer:
Option 2
Step-by-step explanation:
Cost of book= 6.50
Shipping= 4.99
Total= 82.99
Equation:
6.50x+4.99= 82.99
Option 2 is correct
if the difference of the sum of the digits in the odd places and the sum of those even places of the number is 0 or divisible by 11, the number is also divisible by?
A.)4
B.)8
C.)11
D.)12
Answer:
D
Step-by-step explanation:
DSADASD
The word isometric can be broken into two parts. The prefix "iso-” means "of the same,” and "-metric” means "measure.” How does the meaning of the word isometric relate to determining if an isometric transformation occurred? Include the defining characteristics of angle measure and line segments in your response.
The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.
When we speak about geometric figures, the concept of shape, size, and orientation come into play.The defining characteristics of angle measure and line segments play a critical role in determining whether an isometric transformation has occurred. In geometry, angle measures are the measurements of angles in a geometric figure. An angle is formed by two line segments that share a common endpoint. It is a unit used to calculate the measure of a plane figure's interior or exterior, such as a polygon. In other words, the size of the angle doesn't change during an isometric transformation.Line segments are the building blocks of geometric figures. They are used to construct geometric figures such as polygons, triangles, and rectangles, among others. In an isometric transformation, the length of the line segments remains constant because the shape and size of the original figure and its transformed equivalent remain the same.In conclusion, the word "isometric" implies that the transformation has the same measurements of the original figure. It is a transformation that retains the original geometric figures' shape, size, and orientation. The defining characteristics of angle measure and line segments remain unchanged during the isometric transformation. This means that if an isometric transformation occurs, the original and transformed figures have the same measurements of angles and line segments.For such more question on isometric
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f(x) = 2 - 4x
Solve for x when f(x) = 20
Answer:
x = -4.5
Step-by-step explanation:
\(20 = 2 - 4x\)
\(18 = - 4x\)
\( - 4.5 = x\)
100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached. Please show as much work as possible. Thank you!
The similar triangles for this problem are given as follows:
RST and VUT.
Then the measure VT is given as follows:
VT = 5.4 units.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Hence the similar triangles for this problem are given as follows:
RST and VUT.
The proportional relationship for the side lengths is given as follows:
6/14 = (x + 2)/(4x - 1).
Applying cross multiplication, the value of x is obtained as follows:
14(x + 2) = 6(4x - 1)
14x + 28 = 24x - 6
10x = 3.4
x = 3.4.
Then the length VT is given as follows:
VT = 3.4 + 2
VT = 5.4 units.
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Need help with this math problem. I don’t know how to start! 25 points!
The equation of the graph is: \(y = 3.5 \cos(\frac{\pi }{3} x)\)
Define the sinusoidal graph?A sinusoidal graph is a type of graph that represents a periodic waveform, which oscillates back and forth over time.
The graph in the form of \(y = a \cos(bx),\)
where, 'a' is amplitude and 'b' is period, follow these steps:
Amplitude: the graph oscillates between a maximum value (+3.5) and a minimum value (-3.5), both of which are equal to the amplitude.
So, a = 3.5
Period: To finding the period of the graph, see the mirror image across x axis and find x = ± 1.5 and we know for signal,
bx = π/2 (put x= 1.5)
b (1.5) = π/2
b = π/3
Therefore, we can put the values if a and b in general equation so, the graph equation is:
\(y = 3.5 \cos(\frac{\pi }{3} x)\)
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Johnny and Elizabeth were playing a video game and trying to get all of the treasure Johnny got 1/3 and Elizabeth got 5/9 of the treasure . How much of the treasure did they get in all?
Answer:
8/9. 5/9+1/3 L.C.M =9 ANS= 8/9.
100 POINTS + BRAINLIEST!!
a is 15 days
b is 20%
hope this helps you
Answer:
a is 15 daysb is 20%
Step-by-step explanation:
Skyler has twice as many apples in her grocery bag as her
friends Macy and Janelle combined. Macy has 15 apples
in her bag. Skyler has 50 apples in her bag. How many
apples does Janelle have in her grocery bag?
The equation 2(x+15) = 50 models this situation. Which choice shows the
sequence of operations needed to solve this problem, using both arithmetic
and algebra?
WILL GIVE BRAINLIEST
Answer:
Skyler has 130 apples in her bag
Step-by-step explanation:
well first you have to add 15 and 50 and get 65 then you have to multiply 65 by two and get 130
please give brainliest
the correct answer is to
divide by 2:
2(x+15)/2 =50/2
(x+15)=25
subtract 15:
x+15-15=25-15
x=10
Let D= Ф(R), where Φ(u,v)= (u^2, u+v) and R= [1,9] x [0,5]. Calculate \int \: \int \: _D ydA
The value of the double integral of y over D is 160.
The region D is defined as the image of the rectangle R under the transformation Φ(u,v) = (u², u+v). To find the integral of y over D, we need to express y as a function of u and v, and then compute the double integral in terms of u and v.
From the definition of Φ, we have:
u² = x
u + v = y
Solving for v in terms of u and y, we get:
v = y - u
Substituting this expression for v into the second equation, we get:
y = u + (y - u) = y
Therefore, y does not depend on u, and we can write:
y = f(v) = v + u
The integral of y over D can then be written as:
∫∫D y dA = ∫∫R f(v) |J| dA
where J is the Jacobian of the transformation Φ.
The Jacobian of Φ is given by:
J = ∂(x,y)/∂(u,v) =
| 2u 1 |
| 1 1 |
The determinant of J is:
|J| = 2u - 1
Substituting this expression for |J| and the expression for f(v) into the integral, we get:
∫∫D y dA = ∫∫R (v + u)(2u - 1) dudv
To evaluate this integral, we can integrate first with respect to u and then with respect to v:
∫∫D y dA = ∫[0,5]∫[1,9] (v + u)(2u - 1) dudv
= ∫[0,5] [(v+9)³/3 - (v+1)³/3] dv
= [(5+9)⁴/12 - (1+9)⁴/12]
= 480/3
= 160
Therefore, the value of the double integral of y over D is 160.
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Complete question:
Let D= Ф(R), where Φ(u,v)= (u², u+v) and R= [1,9] × [0,5].
Calculate \(\mathrm{\int \: \int \: _D ydA}\)