Answers
Answer:
y = \(-\frac{2}{3}x + 1\)
Step-by-step explanation:
When y = mx + b
I. Find m.value
If m = (y2 - y1) / (x2 - x1)
= ( -1 - 3) / (3 + 3)
= -4/6
m = -2/3
II. Find b.value
If y = mx + b, when y is 3, x is -3 and m is -2/3
3 = -2/3(-3) + b
3 = -2(-1) + b
3 = 2 + b
3-2 = b
b = 1
That makes y = -2/3(x) + 1
Related Questions
What is the meaning of "the cancellation laws"?
Answers
Each step of this theorem is proved below.
Given that,
S is finite,
Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).
According to the cancellation rule,
This product is independent of the order of the factors.
As a result, we can define the identity element e as this product.
It is simple to demonstrate that e meets the criteria of an identity element.
Now, let's show that every element of S has an inverse.
Let a be any element of S. Consider the set {a, a, a, ...}.
Since S is finite,
There exist positive integers m and n such that
am = an for some m > n.
By the cancellation law,
We can cancel a power of a from both sides to get a\({(m-n)}\) = e.
This means that a has an inverse, and we can conclude that S is a group.
Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.
This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.
As a result, this is not a group.
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If you were to roll a six-sided number cube 60 times, about how many times would you expect the number cube to land on a 1?
Answers
Answer:
10
Step-by-step explanation:
Probability is the likeliness of happening of an event.
Probability of any event A can be be defined by
no. of time event A happens/ total no. all possible event that can occur
___________________________________
In the problem
probability of occurrence of 1 on rolling a cube is needed.
A cube has six sides with one written on one sides and rest has 2,3,4,5,6.
No of times 1 can occur on rolling the dice once will be = 1
Since there six sides and and each has different number (1,2,3,4,5,6)
There is chance that each of the number can come.
Thus, total no possible outcome = 6
Probability of occurrence of 1 = No of times 1 occurs on rolling the dice /total no possible outcome = 1/6
_____________________________________________
If dice is rolled 1 time there is 1/6 chance that 1 will be the outcome.
If dice is rolled 1*60 time then there is 1/6*60= 10 chance that 1 will be the outcome
Thus , If you were to roll a six-sided number cube 60 times, about 10 times it is expected that the number cube to land on a 1.
Answer:
20
Step-by-step explanation:
Solve for t. 5 (t + 3) = -3.5
Answers
We are given the following equation
\(5(t+3)=-3.5\)Let us solve the equation for variable t
Our goal is to separate the variable t
Step 1:
Divide both sides by 5 and simplify
\(\begin{gathered} \frac{5(t+3)}{5}=\frac{-3.5}{5} \\ (t+3)=-0.7 \end{gathered}\)Step 2:
Subtract 3 from both sides and simplify
\(\begin{gathered} t+3-3=-0.7-3 \\ t=-3.7 \end{gathered}\)Therefore, the equation has been solved for t.
\(t=-3.7\)Simplify fully
8n
—
10n
Answers
Answer:
The answer is 4/5
Step-by-step explanation:
Simplify the expression.
Hoped this helped!
Brainly, please?
Answer: 4/5
Step-by-step explanation: 8n/10n
8/10
4/5
HELPPPP
A penny has a mass of 2.5 grams, I just cashed in 75$ in pennies at the coin star.
How many Kg is that? *
Answers
Answer:
18.750kgStep-by-step explanation:
If a mass of 2.5 grams costs a penny, we want to know the amount of mass that will cost $75. Before we get the mass, we need to convert 75 dollars to penny. Using the conversion:
$1 = 100pennies
$75 = (75*100)pennies
$75 = 7,500 pennies
Using the law of equivalence
1 penny = 2.5 grams
7,500pennies = x grams
Cross multiply
1 * x = 2.5 * 7500
x = 18,750 grams
Hence 18,759 grams will cost $75
Converting grams to kilograms
If 1000 grams = 1kg
18,750grams -= y
cross multiply
1000*y = 18750
Divide both sides by 1000
1000y = 18750/1000
y = 18.750kg
Hence the amount in kilogram of $75 coin in pennies is 18.750kg
help quick pls due in 10 minutes I will mark brainliest & I'll give 10 points. do not spam pls or you will be reported
Answers
Answer:
111 miles
Step-by-step explanation:
65.25 * 3 = 195.75
195.75 + 65.25 = 261
372 - 261 = 111
Answer:
\(108\frac{3}{4}\) miles
Step-by-step explanation:
lets say Beth's family traveled x miles before stopping for gas. after lunch, they then traveled 3(x+ 65 1/4) more miles. so the total number of miles traveled is x + 65 1/4 + 3 (x + 65 1/4) or 4(x + 65 1/4), distribute to get4x+261. 4x+261= 372 since they traveled 372 miles that day. subtract 261 from both sides to get 111. divide by 4 to get x=111/4 or x= 108 3/4.
The 13-year $1,000 par bonds of Vail Inc. pay 13 percent interest. The market's required yield to maturity on a comparable-risk bond is 14 percent. The current market price for the bond is $870.
a. Determine the yield to maturity.
Answers
The current market price for the bond is $870 the yield to maturity is 14.13%
How is yield to maturity calculated?The approximate yield to maturity of this bond is 11.25%, which is above the annual coupon rate of 10% by 1.25%. You can then use this value as the rate (r) in the following formula: C = future cash flows/coupon payments. r = discount rate (the yield to maturity)
knowing that:
Face value (par value) of the bond (F) = $1,000Annual coupon rate (C) = 13% of the face value = 0.13 * $1,000 = $130Years to maturity (n) = 13 yearsCurrent market price of the bond (P) = $870the formula is:
\(P = (C / (1 + r))^1 + (C / (1 + r))^2 + ... + (C + F) / (1 + r)^n\)
Putting the values:
\($870 = (130 / (1 + r))^1 + (130 / (1 + r))^2 + ... + (130 + 1,000) / (1 + r)^13\)
Using the math we find that the percentage is approximately 14.13%;
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The histogram shows the number of people in different age groups who visited Ray’s coffee shop on a Tuesday morning.
1. the maximum customer age recorded in
the histogram
2. the number of customers less than 23 years
old recorded in the histogram
3. the total number of customers recorded in
the histogram
4. the difference of the number of
customers in the age groups 27–30 and
19–22 recorded in the histogram
48
30
6
60
42
Answers
Answer:
The real answers are 60,6,42,30
Step-by-step explanation
The histogram shows the number of people in different age groups who visited Ray’s coffee shop on a Tuesday morning.
1. the maximum customer age recorded in
the histogram
2. the number of customers less than 23 years
Answer: The number of customers less than 23 years old recorded in the histogram is 42.
The total number of customers recorded in the histogram is 60.
The maximum customer age recorded in the histogram is 30.
The difference of the number of customers in the age groups 27-30 and 19-22 recorded in the histogram is 6.
A stop sign in the shape of a regular octagon is
resting on a brick wall, as shown in the
accompanying diagram.
STOP
X
What is the measure of angle x?
Answers
Answer:
45°
Step-by-step explanation:
First, find the measure of each interior angle of the octagon.
Measure of each interior angle of the octagon = \( \frac{(n - 2)180}{n} \)
Where, n = 8.
Plug in the value of n into the formula
\( = \frac{(8 - 2)180}{8} \)
\( = \frac{(6)180}{8} \)
\( = \frac{1,080}{8} = 135 \)
x = 180 - 135 (straight line theorem.)
x = 45°
57.351 rounded to the ones place
Answers
How do you round to the ones place?
Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place. If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is.
Answer:
Step-by-step explanation:
do u mean round to the nearest 10th as in one decimal place or to the nearest one not decimal place?
Sal is making bracelets for a fundraiser. He uses 6 inches of yarn per bracelet. how many bracelets can Sal make?
Answers
Answer:
He should consider using an exuberant amount of yarn to raise money for charity. How much yarn is available?
A bucket always contains two balls. Ball colors are red and blue. Each stage in a process consists of two steps: selection and replacement. At each stage a ball is randomly selected and then replaced by a new ball, which with probability 0.8 is the same color, and with probability 0.2 is the opposite color, as the ball it replaces. If initially both balls are red, find the probability that the fifth ball selected is red. (You will find it helpful to first model this system as a Markov chain.)
Answers
Answer:
Probability that the fifth ball selected is red = 0.705
Step-by-step explanation:
Let
\(X_{n}\) = Number of red balls after the 4th turn
⇒\(X_{n}\) ∈ { 0, 1, 2 }
Then,
P = \(\left[\begin{array}{ccc}0.8&0.2&0\\0.1&0.8&0.1\\0&0.2&0.8\end{array}\right]\)
⇒\(P^{4} = \left[\begin{array}{ccc}0.487&0.435&0.776\\0.218&0.565&0.218\\0.776&0.435&0.487\end{array}\right]\)
Now,
P(5th ball is red | \(X_{0}\) = 2 ) = 0. \(P^{4} _{20}\) + \(\frac{1}{2}P^{4} _{21} + 1. P^{4} _{22}\)
= \(\frac{1}{2} (0.4352) + 1. (0.4872) = 0.2176 + 0.4872\)
= 0.705
∴ we get
Probability that the fifth ball selected is red = 0.705
In a math class with 20 students, a test was given the same day that an assignment
was due. There were 12 students who passed the test and 13 students who completed
the assignment. There were 10 students who passed the test and also completed the
assignment. What is the probability that a student chosen randomly from the class
passed the test and completed the homework?
=1/2
Answers
The probability that a student chosen randomly from the class
passed the test and completed the homework is \(\frac{1}{2}\).
What is probability?"Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen."
Given
Number of students in a math class = 20
Number of students who passed the test = 12
Number of students who completed the assignment = 13
Number of students who passed the test and also completed the
assignment = 10
Formula to find probability of an event
Probability = \(\frac{Number of Favorable Outcomes}{Total Number of Favorable Outcomes}\)
The probability that a student chosen randomly from the class
passed the test and completed the homework
= \(\frac{Number of Students Passed the Test and Completed the Homework }{Total Number of Students}\)
= \(\frac{10}{20}\)
= \(\frac{1}{2}\)
Hence, the probability that a student chosen randomly from the class
passed the test and completed the homework is \(\frac{1}{2}\).
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Describe and correct the error in writing a linear function with the values f (5) =4, g (3) =10
Answers
Given a linear function
In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10
Required:
What is the probability of selecting the color of ball that you just selected?
Answers
Answer:
The probability of selecting the color of ball that you just selected(a red ball) is \(P(r) = \frac{2}{10}\)
Step-by-step explanation:
From the question we are told that
The total number of colored balls is n = 10
The number of red balls is r = 2 red
The number of white ball is w = 4
The number of blue balls is b = 4
The number of balls to be selected is N = 2 balls
The cost of playing picking a ball is c = $10
The winnings is \(k = \$ P(A)\)
Here P(A) is the probability of obtaining the exact sequence of result and from the question it is P(A) = 0.10
Generally my price according to the question is
\(k = \frac{0.10 }{10}\)
=> \(k = 0.01 \)
Let assume we selected a red ball
Generally the probability of selecting a red ball is mathematically represented as
\(P(r) = \frac{2}{10}\)
Which explains the sequence of energy transformations during photosynthesis? Chemical energy is transformed into heat energy. Light energy is transformed into chemical energy. Chemical energy is transformed into light energy. Heat energy is transformed into light energy.
Answers
Energy is generated from solar and wind power. Solar power must be at most 6units/day or the panels will burn out. Wind must be strong enough to power 1 unit/ day or else the turbines won’t turn. The wind power must be less than twice the solar power less one, or the batteries wont charge properly. Find the optimal production of wind and solar that will maximize overall power output
Answers
Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.
What is more efficient wind or solar energy?Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.This proves that a single home wind turbine can generate more electricity than a number of solar panels.By the movement of air in relation to the Earth's surface, wind energy, a type of solar energy, is created.When the Earth's surface is heated unevenly by the Sun, this type of energy is created. The Earth's rotation and surface topography then alter this energy.Photovoltaic (PV) panels or solar radiation-concentrating mirrors are two ways that solar technologies turn sunlight into electrical energy.Electricity can be produced from this energy, which can also be used to store energy thermally or in batteries.To learn more about solar energy refer
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pls help, my teacher told me to translate this as an assignment so pls help.
th3f1r5t345y4551gnm3ntf0r411th35t9d3nt5.
and also this to. th3l45td4y0f5ch00l15601n6t0b31n4wh1l3.
answer key. y=7 e=3 s=5 a=4 9=u i=1 o=0 z=2 g=6 8=b.
Answers
Answer:
the first easy assignment for aii the students
the first day of school is go in to be in a while
Step-by-step explanation:
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
Answer:
D
Step-by-step explanation:
Answer:C and D
Step-by-step explanation:
7x^2-42x=0
First find the highest common factor of 7x^2 and 42x
7x^2=7 x X x X
42x=2 x 3 x 7 x X
Highest common factor is 7x
7x(x-6)=0
7x=0. or x-6=0
x=0. or x=6
i need help can someone please help me
Answers
The measure of the angle m∠ZYX of the trapezoid is equal to 139°
What is a trapezoid?A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.
3x + 19 + x + 1 = 180°
4x + 20 = 180°
4x = 180 - 20 {collect like terms}
4x = 160
x = 160/4 {divide through by 4}
x = 40
m∠ZYX = 3(40) + 19 = 139°.
WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.
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Mary has $50.00. She goes to the mall and buys lipstick and then she buys shampoo, which is
half the price of the lipstick. She then spends half of what she has left on a purse, leaving her
with $15.00. How much did the shampoo cost? How much did the lipstick cost?
Answers
Answer:
Hey there!
Let x be the price of lipstick
Let 1/2x be the price of shampoo
1.5x=20
x=13.33
1/2x=6.67
The shampoo costed $6.67, and the lipstick costed $13.33
Let me know if this helps , or if you have any more questions :)
Answer:
Thank shampoo costed $7.50 and the lipstick costed $15
Step-by-step explanation:
So if you subtract 15 by 50 you get 35 dollars. Then if you divide 35 by 2 you get 15.5 but the .5 is no important right now. So that's how you get 15 dollars for the lipstick and the shampoo was $7.50. The purse was $12.50.
Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below.
TIME REMAINING
54:06
3x
x
If Kyle uses 10 feet of wood to make the frame, what is the length of the frame? Write the answer in decimal form,
0.75
4.60
0.00
Answers
Answer:
3.75 feet
Step-by-step explanation:
The length of the frame is 3 times the width.
Let the width be x.
The length will be 3x.
Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.
The perimeter of a rectangle is:
P = 2(L + W)
=> 10 = 2(3x + x)
=> 10/2 = 4x
5 = 4x
=> x = 5/4 = 1.25 feet
The width is 1.25 feet. The length is therefore:
1.25 * 3 = 3.75 feet
3. A certain container of mouthwash usually costs $2.99 at a store. If it is on sale for 20% off how much does the mouthwash cost now?
A. $2.75
B. $2.77
C. $2.40
D. $3.74
Answers
Answer:
the answer is D Because
Step-by-step explanation:
so I will say about $3.74
which methods correctly solve for the variable s in the equation -2 - 5s =9?
Answers
ion 1(Multiple Choice Worth 2 points)
Find the area of the triangle with the given measurements. Round the solution
B = 107°, a = 10 cm, c = 22 cm
O 32.16 cm2
O 110 cm2
O 105.19 cm2
210.39 cm2
Answers
Answer:
105.19.
Step-by-step explanation:
Area = 1/2 ac sin B
= 1/2 * 10 * 22 * sin 107
= 105.19..
Plz help u have to do all 3 parts
Answers
Answer:
all you have too do is 750*750 = 562,500
Step-by-step explanation:
i hope this helps and pleas give me a stare and a heart thank you so much if you do and if you do not still thank you
Will give Brainliest to person with correct answer!
Answers
Answer:
it would be 6. it is closer to the 6 mark. so the answer would be B. this is the answer.
Step-by-step explanation:
help asap ty
will possibly mark brainliest.
Answers
Answer:
Step-by-step explanation:
Letter B is the correct answer
Initial population is 200, tripled every hour
200 x 3 = 600
First hour 200
Second hour = 600 + 200 = 800
Third hour 800x3 = 2400 + 800 = 3200
and so on.
Find The values of ( d ,f ,e ) angles
Answers
Answer:
angle d =35, e=55, f=55.............
Graph this line using the slope and y-intercept:
y = 4x - 10
Answers
Answer:
-10
Step-by-step explanation:
The required y-intercept of the line y = 4x - 10 is -10.
What is the intercept in the equation?
In the equation, the intercept is the value of the linear function where either of the variables is zero.
Here,
The equation y = 4x - 10 is in slope-intercept form, where the coefficient of x is the slope of the line, and the constant term is the y-intercept.
So, the y-intercept of the line y = 4x - 10 is -10. This means that the line intersects the y-axis at the point (0,-10). When x is 0, the value of y is -10, which is the y-intercept.
Thus, the required y-intercept of the line y = 4x - 10 is -10.