Linear equations are often organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when x=0)Parallel LinesParallel lines always have the same slopes and different y-intercepts.
Solving the QuestionWe're given:
The line [tex]y=5-3x[/tex]We must solve for a parallel line that passes through (0,2)Firstly, rearrange the given line in slope-intercept form:
[tex]y=-3x+5[/tex]
Remember, parallel lines always have the same slope. Therefore, our parallel line would look like this, with a (currently) unknown y-intercept (b):
[tex]y=-3x+b[/tex]
We're given that the line passes through the point (0,2). Because the y-intercept occurs when x=0, we now know that the y-intercept of the line is 2. Plug this into the equation:
[tex]y=-3x+2[/tex]
Answer[tex]y=-3x+2[/tex]
A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for pasta or rice. Out of the total 30 people who liked pasta, 10 also liked rice. There were 40 people who liked rice.
Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points)
Like pasta Do not like pasta Total
Like rice A B C
Do not like rice D E F
Total G H I
Part B: What percentage of the survey respondents did not like either pasta or rice? (3 points)
Part C: Do the survey results reveal a greater dislike for rice or pasta? Justify your answer. (2 points)
Answer:Part A: Like pasta Do not like pasta TotalLike rice 10 30 40Do not like rice 20 40 60Total 30 70 100Part B: When we look at the table above, we can see that 40 people do not like rice or pasta, so 40 out of 100 = 40%, so 40% of the people surveyed don't like either. Part C: People surveyed have a greater dislike for pasta than rice. Reason: 60 people do not like rice and 70 people do not like pasta, and 70>60 so people dislike pasta more.
Step-by-step explanation:https://brainly.com/question/2141081
of the students at Wayland High School in
he first quarter, 48% made honor roll, 30%
had perfect attendance, and 25% both
made the honor roll and had perfect
attendance. If a student is chosen at
andom, what is the probability that they
have perfect attendance, given they made
he honor roll?
Using conditional probability, it is found that there is a 0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: Student made the honor roll.Event B: Student has perfect attendance.The probabilities are given by:
[tex]P(A) = 0.48, P(A \cap B) = 0.25[/tex]
Hence the conditional probability is given by:
[tex]P(B|A) = \frac{0.25}{0.48} = 0.521[/tex]
0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.
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What is the simplified form of i^14?
A. -1
B. i
C. -i
D. 1
Answer:
-1
Step-by-step explanation:
Rewrite i14 as (i4)3×i2 If i=√−1, then i2=−1 .
Answer: (A. -1)
Step-by-step explanation: Rewrite i14 as (i4)3×i2 . If i=√−1, then i2=−1. I hope this helped!
If A is the center of the circle, then which statement explains how segment GH is related to segment FH?
Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.
segment GH ≅ segment FH because arc EF ≅ arc GF
segment GH ≅ segment FH because the inscribed angles that create the segments are congruent.
segment GH ≅ segment FH because the tangents that create the segment FG share a common endpoint.
segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A.
Statement fourth the segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A if Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have AH as the radius and FG as a chord
AH is perpendicular to FG, AH⊥FG
As we know that a line passing through the center and perpendicular to the chord, bisects the chord.
∴ AH bisects FG
∴ FH = GH
Thus, the segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A if Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent and angles EDA and GHA are right angles.
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Help picture below problem 19
Answer:
I think the amswer is C not 100% shere
Step-by-step explanation:
i really need helps with this i dont understannd it
Answer:
A < C < B = 0.2 < 0.222 < 0.25
Step-by-step explanation:
the best way to do these least to greatest questions is to get them all in the same units so you can compare.
A = [tex]\sqrt{\frac{1}{25} }[/tex]which is [tex]\sqrt{0.04}[/tex] = 0.2
B= 1/4 = 0.25
c=0.22222222.....
now that they are in the same units we see A is the smallest, then C, and then B
Please help! Determine the function which corresponds to the given graph.
By identifying that it is a translation of the natural logarithm, we see that the function is:
g(x) = ln(x - 5).
How to determine the function?
We can see that the function has a logarithmic behavior. We know that the function:
f(x) = ln(x)
Has an asymptote at x = 0, and is equal to 0 for x = 1.
For our function, we can see that the asymptote is at x = 5 and the zero is at x = 6. So the graphed function seems to be the natural logarithm translated 5 units to the right.
Then the function graphed is:
g(x) = f(x - 5) = ln(x - 5)
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7. If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is?
(0.2)x = 2.
Taking log on both sides
log (0.2)x = log 2.
x log (0.2) = 0.3010, [since log 2 = 0.3010].
x log (2/10) = 0.3010.
x [log 2 - log 10] = 0.3010.
x [log 2 - 1] = 0.3010,[since log 10=1].
x[-0.699] = 0.3010.
x= 0.3010/-0.699.
x= = -0.4306….
x= = -0.4.
(0.2)x = 2.
Taking log on both sides
log (0.2)x = log 2.
x log (0.2) = 0.3010, [since log 2 = 0.3010].
x log (2/10) = 0.3010.
x [log 2 - log 10] = 0.3010.
x [log 2 - 1] = 0.3010,[since log 10=1].
x[-0.699] = 0.3010.
x = 0.3010/-0.699
x = -0.4306
x= -0.4 (nearest tenth)
Help me I don’t know how to do this
The mZAOB is 40 degrees. The mZDOF is 120 degrees.
FIND THE FOLLOWING:
m
m
21. Which kind of function best models the data in the table? Use differences or ratios. (1 point)
Y
01.3
17.8
246.8
3 280.8
41684.8
O linear
O quadratic
exponential
O none of the above
4. What is the difference between 34.062 And 2.87
M. 31.192
P. 31.292
R. 32.192
S. 33.775
Answer:
m. 31.192
explanation 34.062-2.87
how a high prevalence of human rights violations can negatively impact a community?list 4 factors
The high prevalence of human rights violations can negatively impact a community in terms of:
Behavior and government structureArmed conflictPsychological factorsEconomic factorsWhat are human rights?These are the inherent rights of all human beings, such as the right to life, work and security, for example, without distinction of class, gender or any other characteristic. They exist to protect liberty and promote equity among individuals.
Therefore, a community with human rights violations will be harmed in relation to its social and economic structure.
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The cost of two hats and three bandanas is $114.25. The cost of five hats and two bandanas is $166.00. What is the cost of one hat?
(A) 18.75
(B) $21.75
(C) $22.50
(D) $24.50
(E) $51.75
Answer:
Step-by-step explanation:
20 points please help me answer this
Answer:
171 Square Feet
Step-by-step explanation:
We first cut the figure up into smaller parts...
we then use the formula (L x W = A) to find the area
L = Lenth
W = Width
the first rectangle (1)...
15 x 5 = 75
the second figure (2)...
8 x 9 = 72
the third figure (3)...
6 x 4 = 24
now we have to add up all the values to find the area of the entire figure...
75 + 72 + 24 = 171
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Example
Solve the quadratic equation
x² - 6x +13=0
[tex]x^2-6x+13=0\\\\\implies x^2-6x =-13\\\\\implies x^2 -2\cdot 3 \cdot x+3^2 -3^2 =-13\\\\\implies (x-3)^2 -9 = -13\\\\\implies (x-3)^2 = -13 +9 = -4\\\\ \implies x-3 =\pm\sqrt{-4} \\\\\implies x -3 = \pm2i\\\\\implies x = \pm 2i +3\\\\\text{Hence,}~ x = 3 + 2i, ~~ x = 3-2i[/tex]
Which congruence theorem can be used to prove △WXS ≅ △YZS?
Triangles W X S and Y Z S are connected at point S. Angles W X S and S Z Y are right angles. Sides X S and S Z are congruent.
SSS
ASA
SAS
HL
Answer:
SSS
Step-by-step explanation:
XS=SZ
WS=SY
WX=ZY
I hope this is useful.
The congruence theorem that can be used to prove △WXS ≅ △YZS is SSS. ; option A.
Which are congruence theorems?Congruence theorems are theorems which are used to prove congruency in triangles.
The congruence theorems include:
SSSASASASRHSIn the given triangle;
XS = SZ WS = SY WX = ZYTherefore, the congruence theorem that can be used to prove △WXS ≅ △YZS is SSS.
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John works at Klein’s Dry Cleaning. He earns $8.45 per hour. If John worked 39 hours this week, what is his pay?
Answer:
$329.55
Step-by-step explanation:
We simply just multiply the hours by the total cost he gets paid each hour.
Since he gets paid 8.45 each our and works 39 hours we do:
8.45 * 39 = 329.55
Answer:
$329.55
Step-by-step explanation:
8.35 times 39
Solve the equation for x.
-2x = 14
Enter the number that belongs in the green box.
x = [?]
Help would be appreciated:)
Answer:
19%
Step-by-step explanation:
Bottles manufactured in march = 4100×107% = 4387 bottles
bottles manufactured in April= 4387+500 = 4887 bottles
difference in bottles from Feb to April= 4887-4100 =787 bottles
percentage increase from Feb to April= (787/4100)×100 = 19.2%
rounded off= 19%
Which of the numbers listed below are solutions to the equation? Check all
that apply
x2 = 0
O A. -
B. 1
C. -2
IN D. O
E.2
F. None of these
Answer:
x=0
Step-by-step explanation:
x^2 =0
The only solution for x is
x=0
Fundamental theorem of calculus
[tex]g(s)=\int\limits^s_6 {(t-t^4)^6} \, dt[/tex]
Answer:
[tex]\displaystyle g'(s) = (s-s^4)^6[/tex]
Step-by-step explanation:
The Fundamental Theorem of Calculus states that:
[tex]\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)[/tex]
Where a is some constant.
We can let:
[tex]\displaystyle g(t) = (t-t^4)^6[/tex]
By substitution:
[tex]\displaystyle g(s) = \int_6^s g(t)\, dt[/tex]
Taking the derivative of both sides results in:
[tex]\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right][/tex]
Hence, by the Fundamental Theorem:
[tex]\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\ & = (s-s^4)^6\end{aligned}[/tex]
I DONT UNDERSTAND THE EQUATION CAN SOMEBODY HELP ME PLEASE
Answer:
I dunno how do sorry mann
Brainliest if correct
Answer:
1 1/7
Step-by-step
E is on the 1 1/7 point on the number line
Answer:
[tex]1\frac{3}{20}[/tex]
Step-by-step explanation: Each space equals =.15. Count by the spaces not the lines. 15/100 simplifies to 3/20.
. Predict how the display may look after another 20 minutes.
erature
Answer:
creature
Step-by-step explanation:
it's definitely creature
a. Which cost category varies the least among the different types of colleges? Can you explain why this category varies so little?
b. Ignoring the "other expenses" category, the general trend is for all categories to cost more as you look down the chart from two-year public colleges to four-year private colleges. However, one category is an exception to this trend. Which category? Can you explain why?
The question indicated above speaks to expense analysis for anonymous colleges. See the details of the analyses below.
From the pictorial representation, which cost category varies the least among the different types of colleges?The cost category that varies the least amongst the various types of colleges is Books and supplies. Notice that at no point did it go below 1,097, nor above, 1,350.
The categories that do not cost more as one goes down the chart (apart from other expenses) are:
Books and supplies and Transportation.Books and supplies went from: $1,350 to $1,107, to 1,107, and then to 1097. Hence decreasing gradually over time.
Transportation also decreased over time starting out from $2,152, to $2,099, to 2,099 and then flatting out at $1,571.
It may be explained that the cost of books is on the decline as more and more people prefer online reading while the cost of transportation is declining as more and more students use their cars or vehicles to the college, hence driving down the cost of transportation.
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Help help help math math math
Answer:
okay so the answer is x>-5
Answer:
x>-5
Step-by-step explanation:
If the bottom row as a result of synthetic division is 3, 0, 4, 0, 1. then the quotient is what?
Answer:
[tex]a. \:\:3x^3 + 4x\:\:R1[/tex]
Step by step explanation:
Hope it helps you in your learning process.
Have a great day ahead.
The quotient and remainder for the last row of the synthetic division 3, 0, 4, 0, 1 are 3x³ + 4x, and 1 respectively.
The option representing this is, a. 3x³ + 4x R1.
What is synthetic division?Synthetic division is a short method of dividing a polynomial p(x) by another polynomial (x - c), to get the quotient and remainder.
The last row represents the quotient and remainder, the last digit being the remainder, and the others being the quotient multiplied by leading powers of x, starting from x⁰, starting from the second last term of the last row.
How to solve the question?In the question, we are given the last row of a synthetic division as 3, 0, 4, 0, 1, and we are asked to find the quotient of the division.
The last number, 1 represents the remainder and can be written as R1.
Now we move from the back to the front and multiply every number with the leading power of x, starting from x⁰.
0 gives 0 * x⁰ = 04 gives 4 * x¹ = 4x0 gives 0 * x² = 03 gives 3 * x³ = 3x³.Therefore, the quotient and remainder for the last row of the synthetic division 3, 0, 4, 0, 1 are 3x³ + 4x, and 1 respectively.
The option representing this is, a. 3x³ + 4x R1.
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Help me plss i don’t understand this
Answer:
See attached image, I vote for option A, but I agree it is a confusing question.
Step-by-step explanation:
See attached image.
Question is in picture