Answers
The line is a straight line, therefore, we can employ the equation of a line given 2 points form.
\(\frac{y_2-y_1}{x_2-x_1}=\frac{y-y_1}{x-x_1}\)We can pick any two points on the line,
I'll go with ( 0 , -1) and ( 5 ,5)
Inserting this into the equation, we can obtain;
\(\begin{gathered} \frac{5-(-1)}{5-0}=\frac{y-(-1)}{x-0} \\ \frac{6}{5}=\frac{y+1}{x} \\ 6x=5(y+1) \\ \text{Divide both sides by 5 to obtain} \\ \frac{6}{5}x=y+1 \\ y=\frac{6}{5}x-1 \end{gathered}\)As you can see, the line equation is y = (6/5)x - 1
The slope is 6/5 and the y-intercept is -1
Related Questions
A rectangular mat has an area of 7/12 in2. The length of the mat is 5/6 in. What is the width of the mat
Answers
The width of the mat with the given area and length is 7/10 in.
What is the width of the mat?The area of a rectangle is expressed as;
A = l × w
Where l is length and w is width.
Given the data in the question;
Area A = 7/12 in²Length l = 5/6 inWidth w = ?We plug our given values into the above equation and solve for w.
A = l × w
7/12 = 5/6 × w
w = 7/12 ÷ 5/6
w = 7/12 ÷ 6/5
w = 42/60
w = 7/10 in
Therefore, the width of the mat with the given area and length is 7/10 in.
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Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answers
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answers
Answer:
Step-by-step explanation:
$100x0.5x1=$5
Determine the height in meters of a triangle with an area of 72 square meters and a base of 28 meters.
Answers
Step-by-step explanation:
The area A of a triangle is given by
\(A = \frac{1}{2}bh\)
where b is the length of the base and h is its height. Solving for h, we get
\(h = \dfrac{2A}{b} = \dfrac{2(72\:\text{m}^2)}{28\:\text{m}}\)
\(\:\:\:\:= 5.14\:\text{m}\)
What is 4/16 in simplest form
Answers
Because:
1. Find greatest common factor of 4 and 16 is (it's 4)
2. Divide the numerator and denominator by the greatest common factor.
4 divided by 4 is 1
16 divided by 4 is 4
Answer is 1/4
(right answer using ALGEBRA will get lots of points and brainliest!)
There are 23 boys and 35 girls on the school’s track and field team. After q boys and (q+4) girls graduate at the end of this year, the probability of selecting a boy at random to represent the school for an event becomes 2/5. Find the value of q.
Answers
Answer:
q=7
Step-by-step explanation:
So, right now, there are 23 boys and 35 girls.
After q boys and q+4 girls graduate, the probability of selecting a boy at random is 2/5. In other words, we can write the following equation:
(23-q)/(58-q-(q+4))=2/5
The numerator represents the number of boys after graduating.
The denominator represents the total numbers after boys and girls graduate. The 58 is the current total (23+35) and the -q and -(q+4) is the amount of students that will graduate. Now, find q:
(23-q)/(58-q-q-4)=2/5
(23-q)/(54-2q)=2/5
Cross multiply:
5(23-q)=2(54-2q)
115-5q=108-4q
-5q=-7-4q
-q=-7
q=7
We can check this: 23-7=16 and 35-11=24. 16/(24+16)=16/40=2/5
Answer:
7Step-by-step explanation:
Total students = 23 + 35 = 58
Now, it becomes,
\(58 - (q + q + 4)\)
\( = 58 - (2q + 4)\)
When there is a (-) in front of an expression parentheses , change the sign at each term .
\( = 58 - 2q - 4\)
Collect like terms
\( = 54 - 2q\)
Again,
\( \frac{23 - q}{54 - 2q} = \frac{2}{5} \)
Apply cross product property
\(5(23 - q) = 2(54 - 2q)\)
\(115 - 5q = 108 - 4q\)
Move variable to L.H.S and change its sign
\( - 5q + 4q + 115 = 108\)
Move constant to R.H.S and change its sign
\( - 5q + 4q = 108 - 115\)
Calculate the sum or difference
\( - q = - 7\)
The difference sign (-) will be cancelled in both sides
\(q = 7\)
Hope this helps...
Good luck on your assignment ..
Express the sum of the angles of this triangle in two different ways.
X
1/2x
3/2x
Answers
The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2
How to determine the expressionIt is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.
We have the angle measurements as;
x3/2x1/2xSubstitute the values
x + 1/2 x + 3/2x = 180
Find the lowest common multiple
2x + x + 3x /2 = 180
Add the numerators
6x/2 = 180
cross multiply
6x = 360
x = 60
Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2
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kira,boris,deshuan have a total of $119 in their wallets. Boris has 3 times waht deshuan has. Deshuan has $6 more than kira. How much do they have in their wallets.
Answers
Kira has $19, Boris has $75, and Deshuan has $25.
How much money does each person have in their wallets?We will denote as follows:
Kira has as K, Boris has as B, and Deshuan has as D.From information, we can set up equations:
B = 3D (Boris has 3 times what Deshuan has)
D = K + 6 (Deshuan has $6 more than Kira)
K + B + D = 119 (The total amount of money they have is $119)
Substituting equation 2 into equation 1, we have:
B = 3(K + 6)
Substituting equations 1 and 2 into equation 3:
K + 3(K + 6) + (K + 6) = 119
K + 3K + 18 + K + 6 = 119
5K + 24 = 119
5K = 119 - 24
5K = 95
K = 95 / 5
K = 19
Using equation 2, we can find D:
D = K + 6
D = 19 + 6
D = 25
Using equation 1, we can find B:
B = 3D
B = 3 * 25
B = 75.
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A suspect of a crime is traveling on 26th Street toward Cherry Street. The diagram shows the locations of the suspect and a police officer. Your friend says that the officer should wait at point C to intercept the suspect because the officer will have the same distance to travel no matter which route the suspect takes. Is your friend correct? Explain.
Answers
AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
What is the Angle Bisector Theorem?According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.
In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.
Therefore, we can conclude as saying:
C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
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Harold and Maude plan to take a cruise together, but they live in separate cities. The cruise departs from Miami, and they each book a flight to arrive in Miami an hour before they need to be on the ship. Their travel planner explains that Harold's flight has an 80% chance of making it on time for him to get o the ship and that Maude's flight has a 90% chance of making it on time. Assume that the event of Harold making it on time is independent of the event of Maude making it on time. What is the probability that at least one of Harold and Maude will make it to the cruise
Answers
Answer:
98% probability that at least one of Harold and Maude will make it to the cruise
Step-by-step explanation:
Independent probabilities:
When two events are independent, the probability of the two events happening simultaneously is the multiplication of each probability.
Probability that none makes it to the cruise:
Harold's flight has an 80% chance of making it, so 100 - 80 = 20% probability of missing.
Maude's flight has a 90% chance of making it on time, so 100 - 90 = 10% probability of missing.
Both missing: 0.2*0.1 = 0.02.
2% probability of both missing.
Probability that at least one makes it to the cruise:
Either both miss, or at least one makes it. The sum of the probabilities of these events is 100%. So
2 + p = 100
p = 98%
98% probability that at least one of Harold and Maude will make it to the cruise
Which is the better buy?
3-foot piece of twine for $7.38
3-yard piece of twine for $16.11
Answers
5x + 4 + 8x simplified
Answers
Answer:
4 + 13x
Step-by-step explanation:
add 8x and 5x which makes 13x. Since 4 doesn't have variable x in it then you can't add it to 13x.
Look at my picture, what’s the missing statement in step 4?
Answers
Answer:
Step-by-step explanation:
∠ACE=∠ BCD (reflexive property )
It is common to both the angles or both the angles represent the same angle.
We have to prove two triangles are similar.
Here we show two angles of different triangles are equal.
Hence similar by AA
Answer:
m<CBD is congruent to m<DBC
Step-by-step explanation:
Reflexive property states that any real number, for example a, is equal to itself. < cbd is congruent to < dbc :)
Question 1: Solve the system. Use the substitution method.
.A
.B
.C
.D
Answers
Answer:
C) No solution
Step-by-step explanation:
Because we know that y=3x-2, we can substitute the value of y into the first equation to get x:
-6x+2y=-6
-6x+2(3x-2)=-6
-6x+6x-4=-6
-4=-6
However, there is one problem! Since both sides are not equal to each other, there's no solution. Therefore, C is the only correct answer.
12,15,20,25,30,20,30,15,12,12
Answers
Answer:
The mode of this set of numbers is 12. If that is what you are looking for.
convert decimal number 0.25 in rational numbers
Answers
Answer:
0.25 = 25/100
=> 1/4
Therefore 1/4 is the rational form of 0.25 ,
If my answer helped, kindly mark me as the brainliest!!
Thank You!
Answer:
not sure but 1/4
Step-by-step explanation:
0.25 = 25/100
1/4
The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed?
Answers
The number of cards left to be signed is 32 cards.
To determine the number of cards left to be signed, we need to calculate the number of cards signed by each person and subtract it from the total number of cards.First, Emily signed 2/5 of the cards, which is equal to (2/5) * 75 = 30 cards.
Next, we need to find the number of cards remaining after Emily signed. To do this, we subtract the cards Emily signed from the total number of cards:
75 - 30 = 45 cards.
Now, Josh signs 1/9 of the remaining cards, which is equal to (1/9) * 45 = 5 cards.
After Josh signs his portion, we need to find the number of cards still remaining. We subtract the cards Josh signed from the previous remaining cards:
45 - 5 = 40 cards.
Finally, Tatiana signs 20% of what Josh had left, which is equal to 20/100 * 40 = 8 cards.
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In an August 2012 Gallup survey of 905 randomly selected U.S. adults (age 18 and over), 54% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. They also report that the standard error was 1.66%."
Question: Find a 95% confidence interval for the true proportion of adults who are dissatisfied with the quality of k-12 education. Show your work. Interpret your 95% confidence interval in context of the situation.
Answers
Answer:
Sure, here are the steps on how to find a 95% confidence interval for the true proportion of adults who are dissatisfied with the quality of k-12 education:
Find the sample proportion. The sample proportion is the number of people in the sample who are dissatisfied with the quality of k-12 education divided by the total number of people in the sample. In this case, the sample proportion is 54%.
Find the standard error of the sample proportion. The standard error of the sample proportion is a measure of how much the sample proportion can vary from the true proportion. In this case, the standard error of the sample proportion is 1.66%.
Find the 95% confidence interval. The 95% confidence interval is a range of values that is likely to contain the true proportion. To find the 95% confidence interval, we add and subtract 1.96 standard errors from the sample proportion. In this case, the 95% confidence interval is (52.34%, 55.66%).
Interpret the 95% confidence interval. The 95% confidence interval means that we are 95% confident that the true proportion of adults who are dissatisfied with the quality of k-12 education is within the range of values (52.34%, 55.66%).
In other words, if we were to repeat this survey many times, 95% of the time the confidence interval would contain the true proportion of adults who are dissatisfied with the quality of k-12 education.
Step-by-step explanation:
-595-65
Btw they are both negative numbers
Answers
Answer:
-660
Step-by-step explanation:
-595-65=-660
A builder is buying boxes of nails. She has $187 to spend and each box of nails costs $4. How many boxes of nails can the builder buy?42503746
Answers
To find How many boxes of nails can the builder buy divide the total she has into the cost of each box:
Then, she can buy 46 boxes of nails
What is the cost of a pair of shoes if they retail for $18.50, have a tax of 6%, and you have a coupon for 20% off after taxes
Answers
Answer:
$15.69
Step-by-step explanation:
multiply the retail price by 1.06 to get the price after taxes.
find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer
6 + 4|2x + 6| = 14
Solve for x
Answers
Answer:
x = -1
Step-by-step explanation:
6+4 = 10
14-10 = 4
2x + 6 = 4
2x (-2) = -2
-2 + 6 = 4
Put smallest to largest
4.3 4.303 4.03 4.33 4.033 4.003
Answers
What is the slope of the line that passes through the points (−4, −4)
and (2, 8)
Answers
Answer:
2
Step-by-step explanation:
lmk if you want an explanation
An 8 sided die, which may or may not be a fair die, has 4 colors on it; you have been tossing the die for an hour and have recorded the color rolled for each loss. What is the probability you will roll a purple on your next toss of the die? Enter your answer as a simplified fraction or a decimal rounded to four decimal places.
Red Purple Yellow Orange
44 37 41 21
Answers
Answer:
0.2587 = 25.87% probability you will roll a purple on your next toss of the die.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In an experimental probability, which is the case in this question, the number of outcomes is taken from previous experiments.
In this question:
44 + 37 + 41 + 21 = 143 tosses.
37 purple.
What is the probability you will roll a purple on your next toss of the die?
\(p = \frac{37}{143} = 0.2587\)
0.2587 = 25.87% probability you will roll a purple on your next toss of the die.
Find to value of a if you knew the perimeter was 250 inches long
Answers
Answer:
To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.
Chris has 5 1/2cups of water in a pitcher. He pours 3/8 cup of water into a glass. How many cups of water is left in the pitcher? Enter your answer in the box as a mixed number in simplist form?
Answers
Answer: The Answer is 5 1/8.
Step-by-step explanation:
Write an expression for the sequence of operations described below.
raise 3 to the 9th power, then add the result to j
Do not simplify any part of the expression.
Answers
An expression for given sequence of operations is: j + 3^9
In this question, we need to write an expression for the sequence of operations described below.
raise 3 to the 9th power, then add the result to j
Consider the part of given statement,
raise 3 to the 9th power
We write this as: 3^9
then we add this result to j.
So, we get an expression: 3^9 + j
Therefore, an expression for given sequence of operations is: j + 3^9
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What will happen to the median height of the outlier is removed?
{75, 63, 58, 59, 63, 62, 56, 59)
Answers
Answer:
The meadian decreases by 1.5 when the outlier is removed.
Step-by-step explanation:
Well first we need to find the median of the following data set,
(75, 63, 58, 59, 63, 62, 56, 59)
So we order the set from least to greatest,
56, 58, 59, 59, 62, 63, 63, 75
Then we cross all the side numbers,
Which gets us 59 and 62.
59 + 62 = 121.
121 / 2 = 60.5
So 65 is the median before the outlier is removed.
Now when we remove the outlier which is 75.
Then we order it again,
56, 58, 59, 59, 62, 63, 63
Which gets us 59 as the median.
Thus,
the median height decreases by 1.5 units when the outlier is removed.
Hope this helps :)
I need help plz, i will give brainliest for the correct answer
Answers
Answer:
f'(1) exists: f'(1) = -2f'(0) DNEStep-by-step explanation:
a)The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...
f'(x) = -2x . . . . . for x > 0
Then at x = 1, the derivative is ...
f'(1) = -2(1)
f'(1) = -2
__
b)The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.
