38. For the following exercises, sketch a line with the given features.
38. An x-intercept of (-4,0) and y-intercept of (0,-2)
Answers
Answer:
see image
Step-by-step explanation:
The x-intercept is the point where the line crosses the x-axis (horizontal, left and right line with numbers, arrows at both ends, usually marked x at the right end)
The y-intercept is where your line crosses the y-axis (vertical, up-and-down line with numbers, arrows at the ends, usually marked y at the top)
Two points determine a line.
Draw a line through the two points given. See image.
Related Questions
find the sum of (8e - 28f + 15g) and (4e + 20f - 10g)
Answers
Answer:
f=-2 g=4 e =-8
Step-by-step explanation:
Answer:
Step-by-step explanation:
(8e - 28f + 15g) + (4e + 20f - 10g)
8e + 4e -28f + 20f + 15g - 10g
12e - 8f + 5g
an album has 10 songs. you make a playlist by randomly shuffling the order of the songs. find the probability that the first 4 songs in the playlist are the first 4 songs listed on the album in any order
Answers
The probability that the first 4 songs in the playlist are the first 4 songs listed on the album in any order is approximately 0.000595.
To find the probability that the first 4 songs in the playlist are the first 4 songs listed on the album in any order, we need to consider the total number of possible playlists and the number of favorable outcomes.
The total number of possible playlists can be calculated using the concept of permutations. Since there are 10 songs on the album, the total number of possible playlists is 10!.
Now, let's determine the number of favorable outcomes. For the first song on the playlist, there are 10 options to choose from. Once the first song is selected, there are 9 remaining options for the second song, 8 options for the third song, and 7 options for the fourth song. Since the order of the first 4 songs should match the order of the first 4 songs listed on the album, there is only one way to arrange these 4 songs.
Therefore, the number of favorable outcomes is 10 * 9 * 8 * 7 = 5,040.
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible playlists:
Probability = Number of Favorable Outcomes / Total Number of Possible Playlists
= 5,040 / 10!
≈ 0.000595
So, the probability that the first 4 songs in the playlist are the first 4 songs listed on the album in any order is approximately 0.000595.
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v
1 Given that x, x², and are solutions of the homogeneous equation X corresponding to x³y"" + x²y" - 2xy + 2y = 26x¹, x > 0, determine a particular solution. NOTE: Enter an exact answer. Y(x) =
Answers
the particular solution of the given differential equation is:
yP = 13. Hence, the value of Y(x) is 13.
The homogeneous equation is a type of linear equation that can be written in the form of Ax + By + Cz = 0.
In this type of equation, A, B, and C are constants. The homogeneous equation is the type of linear equation in which the constant of proportionality is zero.
A particular solution can be found by substituting a specific value for x and y.
Let's solve the given equation,
To solve the given differential equation, we will first solve its associated homogeneous equation:
x^3y'' + x^2y' - 2xy + 2y = 0
For solving this equation we can consider the solution of the form y = x^m.
On substituting this value in the equation, we get:
⇒x^3m(m - 1)x^(m - 2) + x^2mx^(m - 1) - 2xmx^m + 2x^m = 0
⇒ m(m - 1) + m - 2 - 2m + 2 = 0
⇒ m(m - 1) - m = 0
⇒ m(m - 2) = 0
On solving the above equation, we get two solutions, m = 0 and m = 2. Therefore, the general solution of the homogeneous equation is
yH(x) = c1 + c2x²
We now have to find the particular solution of the given differential equation. To do this, we will use the method of undetermined coefficients.
We assume that the particular solution has the form of
yP = Ax + B
We can calculate the first derivative of yP as
y' = A.
On substituting yP and y' in the differential equation, we get:
x³(A) + x²(A) - 2x(A) + 2(Ax + B) = 26x
⇒ 3Ax³ + 2Ax² - 2Ax + 2Ax + 2B
= 26x
On comparing the coefficients of like terms, we get:
3A = 02
A = 13A - 2A
= 0 + 0 + 2B
= 26
⇒ A = 0, B = 13
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Write the y-intercept of the function: f(x)=2x^2-2x+1
Answers
The y-intercept of the function f(x) is 1.
The y-intercept of a function is the point where the graph of the function intersects the y-axis. It represents the value of the function when x=0. To find the y-intercept of a function, we can substitute x=0 into the function and evaluate it.
In the case of the function \(f(x) = 2x^2 - 2x + 1\), when x=0, we have:
\(f(0) = 2(0)^2 - 2(0) + 1 = 1\)
Therefore, the y-intercept of the function f(x) is 1. This means that the graph of the function intersects the y-axis at the point (0, 1).
Knowing the y-intercept is important when graphing the function, as it provides a reference point for drawing the graph. Additionally, the y-intercept can provide information about the behavior of the function as x approaches infinity or negative infinity.
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A baker uses a coffee mug with a diameter of 8\text{ cm}8 cm8, start text, space, c, m, end text to cut out circular cookies from a big sheet of cookie dough.
What is the area AAA of each cookie?
Give your answer in terms of pi.
A=A=A, equals
\text{cm}^2cm
2
start text, c, m, end text, squared
Answers
Answer:
Step-by-step explanation:
Since the cookies is circular in nature, we will use the formula for calculating the area of circle to calculate the area if each cookies.
Area of each cookies = πd²/4
Given diameter d = 8cm
Area of the cookies = π(8)²/4
Area of the cookies = 64π/4
Area of the cookies = 16π cm²
Answer:
16 pi ^2
Step-by-step explanation:
um yes
On Feb. 19th, 2010, 4.13% of the randomly selected spots had potamogeton (a type of seagrass). Is 4.13% a statistic or a parameter?
Answers
A statistic is, 4.13%.
Given that;
On Feb. 19th, 2010, 4.13% of the randomly selected spots had potamogeton (a type of seagrass)
Since, A parameter is a value that is determined from all of the data, whereas a statistic is a value that is produced from a sample of the data.
Here, The percentage of spots containing portamento in this instance was solely determined from a randomly chosen sample, making it a statistic.
Hence, It would be a parameter if the percentage was determined using the whole population of spots.
Thus, 4.13% is a statistic.
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When the declaration/// int y = 5; /// is followed by the
assignment /// y += 3.7; /// the value of y is _______.
Answers
Answer:
y = 8.7
Step-by-step explanation:
Assuming we can use decimal places, y is equal to 8.7.
In programming, += is often used as a substitute for y = y + x (example)
Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7
n homeroom, 3 of the 16 girls have red hair and 2 of the 15 boys have red hair. what is the probability of selecting a boy or a red-haired person as homeroom representative to student council
Answers
To calculate the probability of selecting a boy or a red-haired person as a homeroom representative to student council, we need to find the probability of each event and then use the formula P(A or B) = P(A) + P(B) - P(A and B).
There are 31 students in total (16 girls + 15 boys). The probability of selecting a boy is 15/31.
There are 5 red-haired students (3 girls + 2 boys). The probability of selecting a red-haired person is 5/31.
However, we need to account for the overlap between boys and red-haired students. There are 2 red-haired boys, so the probability of selecting a red-haired boy is 2/31.
Now we can use the formula: P(boy or red-haired) = P(boy) + P(red-haired) - P(boy and red-haired) = (15/31) + (5/31) - (2/31) = 18/31.
So, the probability of selecting a boy or a red-haired person as a homeroom representative to student council is 18/31.
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Chris bought 11 watermelons for his 11th birthday. The first watermelon weighed 1 pound, the second 2 pounds, the third 3 pounds and so on, Can he divide all of his watermelons into two groups with the same weight?
Answers
Answer:
ther r 2group 5%
i hope this is helpful to you
Pls help me!!!! Im stuck!!!
Answers
Answer:
has no solution.
Step-by-step explanation:
you can see that the two equations are almost identical except for the fact that one is multiplied by 7, but it isnt completely multiplied correctly so there would be no solutions.
Answer:
infinite solutions
Step-by-step explanation:
you can solve this by the elimination method. take the rover a equation and multiply it by -7 and then combine the equations. when you do this, you can see that either side equals 0 which means that there are infinite solutions.
-7(y= 1.5x - 6) which equals the equation below
-7y= -10.5x-42 then combine the other equation
7y=10.5x+42 and that equals
0=0
The difference btwn 2 villages is over 24km Write this as an algebraic statement
*HELP*
Answers
Answer:
|x - y| > 24
Step-by-step explanation:
The difference btwn 2 villages is over 24km Write this as an algebraic statement
To solve :
Let us represent the two villages with an alphabet :
Let:
Village 1 = x
Village 2 = y
The difference between the two villages : |Village 1 - Village |, that is x - y
The difference is more than 24 km, that is > 24
Hence,
Algebraically,
|x - y| > 24
The formula , where P = F/A pressure, F = force, and A = area, is used to calculate pressure. Solve this formula for F.
Answers
Answer:
Step-by-step explanation:
Just took the test
F=PA
Answer: F=P/A
Step-by-step explanation:
A cube whose edge is 20 cm 1 point
long, has circles on each of its
faces painted black. What is the
total area of the unpainted
surface of the cube if the
circles are of the largest
possible areas?(a) 90.72 cm2 (b)
256.72 cm² (c) 330.3 cm² (d)
514.28 cm?
Answers
Answer:
Unpainted surface area = 514.28 cm²
Step-by-step explanation:
Given:
Side of cube = 20 Cm
Radius of circle = 20 / 2 = 10 Cm
Find:
Unpainted surface area
Computation:
Unpainted surface area = Surface area of cube - 6(Area of circle)
Unpainted surface area = 6a² - 6[πr²]
Unpainted surface area = 6[a² - πr²]
Unpainted surface area = 6[20² - π10²]
Unpainted surface area = 6[400 - 314.285714]
Unpainted surface area = 514.28 cm²
A room has a length of 8 m. A scale diagram is drawn of the room. In the diagram, the room has a length of 1 cm. What is the scale of the diagram? Give your answer as a ratio in the form 1 : k , where k is an integer.
Answers
The scale of the diagram as described in the task content is; 1: 8 where k= 8.
What is the scale of the diagram?It follows from the task content that the original length of the room in discuss is 8cm. It therefore follows that the length of the room in the scale diagram is 1cm. On this note, the scale of the diagram in discuss is; 1 : 8 as 1cm on the diagram corresponds to 8cm actual length.
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What is an equation of the line that passes through the point ( 2 , − 3 ) (2,−3) and is perpendicular to the line 2 x + 5 y = 10 2x+5y=10?
Answers
Answer: y=-\(\frac{5}{2}\)x+2 or 5x+2y=4
Step-by-step explanation:
let’s make l1: 2x+5y=10,
then 5y=-2x+10
then y=-\(\frac{2}{5}\)x+2
So k1=-\(\frac{2}{5}\)let’s make the unknown line equals l2: y=k2*x + bBecause l2 is perpendicular to l1, so k2*k1=-1then who can calculate k2=-\(\frac{5}{2}\)Because l2 passes the point (2,-3),so when x=2, we can know y=-3we can get an equation is -3=-\(\frac{5}{2}\)*2 +bSo b=2l2: y=-\(\frac{5}{2}\)x +2 or 5x+2y=4Each statement is either a phrase or a clause.
Drag each statement into the correct column of the table.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Phrase Clause
Answers
Answer:
phrase- around the corner- very slowly- Peter and michael
clause- put in the closet- when i go to school
Step-by-step explanation:
A clause is a collection of words with a subject and a verb. The words that make up a phrase do not include a subject or a verb.
Hope this helps! \( ﾟヮﾟ)/
Step-by-step explanation:
phrase- around the corner- very slowly- Peter and michael
clause- put in the closet- when i go to school
Step-by-step explanation:
A clause is a collection of words with a subject and a verb. The words that make up a phrase do not include a subject or a verb.
Multiply.
[−427⋅(−18)]⋅(−389)⋅(−1)
What is the product?
Enter your answer in the box. PLEASE HELP URGENT
Answers
Answer:
2989854
Step-by-step explanation:
Answer:
When you multiply two negatives, you get a positive solution.
7686x389
2,989,854
:)
11.1 Simple percentages
4 a Copy this rectangle.
Shade 30%.
b What percentage is un shaded?
(Rectangle contains 20 parts)
Answers
Complete the chart. Enter the probabilities as simplified fractions.
At a school fair, you have the choice of randomly picking a ball from Basket A or Basket B. Basket A has 3 green balls, 5 red balls, and 8 yellow balls. Basket B has 3 green balls, 4 red balls, and 7 yellow balls. You can win a digital book reader if you pick a red ball.
Answers
The basket you will choose to have a higher probability of winning is Basket A
How to find the probability?The formula for probability is;
Probability = (desired outcomes)/(total possible outcomes)
We are given;
Number of balls in Basket A = 3 green balls, 5 red balls, and 8 yellow balls
Number of balls in Basket B = 3 green balls, 4 red balls, and 7 yellow balls.
We are told that you can win a digital book reader if you pick a red ball.
probability of a red ball from basket A = 5red/(3 + 5 + 8) = 5/16
probability of a red ball from basket B = 4red/(7 + 4 + 3) = 4/15
Converting probability A to decimal; 5/16 = 0.3125
Converting probability B to decimal; 4/15 = 0.2667
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Complete question is;
At a school fair you have a choice of randomly picking a ball from Basket A or Basket B. Basket A has 3 green balls, 5 red balls, and 8 yellow balls. Basket B has 3 green balls, 4 red balls, and 7 yellow balls. You can win a digital book reader if you pick a red ball
1.Which basket should you choose if you want the better chance of winning?
Graph the piecewise function below.
Answers
The graph of the piecewise function is attached
How to graph the piecewise functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x + 2 if x < 0
f(x) = 2x + 5 if 0 ≤ x ≤ 2
f(x) = -x + 1 if x > 2
To graph the piecewise function, we plot each function in its domain
using the above as a guide, we have the following:
Plot f(x) = x + 2 in the domain of x < 0Plot f(x) = 2x + 5 in the domain of 0 ≤ x ≤ 2Plot f(x) = -x + 1 in the domain of x > 2See attachment for the graph
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a population has = 80 and = 12. find the z-score corresponding to each of the following sample means: a. m = 84 for a sample of n = 9 scores
Answers
The z-score corresponding to a sample mean of 84 for a sample size of 9 scores, with a population mean of 80 and a population standard deviation of 12, is 1.
To find the z-score corresponding to a sample mean of m = 84 with a population mean (μ) of 80 and a population standard deviation (σ) of 12, the z-score can be calculated using the formula z = (x - μ) / (σ / √n).
In this case, the population mean (μ) is 80 and the population standard deviation (σ) is 12. The sample mean (m) is given as 84, and the sample size (n) is 9.
To calculate the z-score, we use the formula:
z = (x - μ) / (σ / √n)
Substituting the given values, we have:
z = (84 - 80) / (12 / √9)
Simplifying the expression, we get:
z = 4 / (12 / 3)
z = 4 / 4
z = 1
Therefore, the z-score corresponding to a sample mean of 84 for a sample size of 9 scores, with a population mean of 80 and a population standard deviation of 12, is 1. This indicates that the sample mean is one standard deviation above the population mean. The z-score allows us to compare the sample mean to the population distribution and assess how unusual or typical the sample mean is relative to the population.
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Clark has 7 sugar cookies and 14
chocolate chip cookies to use for
cookie bags that he plans to give out
on his birthday. He wants each bag to
be exactly the same. If he puts 1 sugar
cookie in each bag, how many
chocolate chip cookies should he put
in each bag?
Answers
Answer:
2 chocolate chip cookies
Step-by-step explanation:
PLEASE HELP
Which problem can be represented by the equation 100x+50=710?
a) A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?
B) A coin bank can hold 100 coins. There are 710 coins in the bank. A student puts in 50 coins per week. How many weeks until the bank is full?
c) A coin bank can hold 100 coins. There are 50 coins in the bank. A student puts in 710 coins per week. How many weeks until the bank is full?
d )A coin bank can hold 710 coins. There are 100 coins in the bank. A student puts in 50 coins per week. How many weeks until the bank is full?
Answers
Answer:
A
Step-by-step explanation:
Because for A, the question is "How many weeks until the bank is full?" which is looking for X. That part is checked off. It says 100x+50=710. 710 is the total in A too so that is checked off. In the equation, the piggy bank starts with 50 coins so that is checked off. Everything is in order so A is the answer. WEAR A MASK AND STAY SAFE DURING THIS HARD TIME! ;)
Answer:
The answer is D
Step-by-step explanation:
The original equation ..
100x +50 = 710
100x=710-50
100x=660
Divide on both sides
X =6.6
When you solve equation D in the same way, the same result will appear
The graph of -1.5x - 3y = -6 is shown on the coordinate grid.
Which ordered pair is in the solution set of -1.5x - 3y ≤ -6?
A. (2,0)
B. (-1, 2)
C. (-2,3)
D. (3,-2)
Answers
Answer:
C.). (–2,3)
Step-by-step explanation:
This solution is on the graphed line, so it is a solution.
If we substitute values from the other coordinates given, all below the line, the results are false
helpppp plss:)))))))
(the answer is not c though)
Answers
an angle that measures 125 is composed of 23 smaller angles two of the smaller angles measure of 25 and 40 Tom things you can use an equation 125+40-25 = s to find the measure of the unknown smaller angle s explain why Tom is incorrect, and tell how to find the measure of the third smaller angle s
Answers
Answer:
60
Step-by-step explanation:
The measure of the other angle is 60°.
What is an Angle ?
An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
As given in the question
An angle that measures 125° is composed of three smaller angles.
Two of the smaller angles measure 25° and 40 degrees
Tom thinks he can use the equation 25 degrees + (40 degrees - 25 degrees) = s to find the measure of the unknown smaller angle, s
Tom is incorrect because the sum of the smaller angles will be equal to the bigger angle and the equation he has written is wrong.
The right equation and method will be
25 +40+x = 125
x = 125-40-25
x = 60°
Therefore the measure of the other angle is 60°.
Four times the sum of a number r and 4 is equal to 20 less than 10 times the number r. What is the value of r ?
Answers
Answer:
r = 6
Step-by-step explanation:
According to the question,
4(r + 4) = 10r - 20
4r + 16 = 10r - 20
16 + 20 = 10r - 4r
6r = 36
r = 36 / 6
r = 6
Find the product.
11 × 6.41
60.51
70.51
12.82
128.2
Answers
Answer:
Step-by-step explanation:
11 x 6.41
= 70.51
or
= 7051/100
or
=70 50/100
Evaluate: 19 - 3k] = 3
Answers
Answer:
k = \(5\frac{1}{3} ,7\frac{1}{3}\)
Step-by-step explanation:
|19 - 3k| = 3
-3k = 3 - 19
-3k = -16
k = 16/3
k = 5 1/3
-19 + 3k = 3
3k = 3 + 19
3k = 22
k = 22/3
k = 7 1/3
when 8 is added to a certain number and the sum is multiplied by 3 the result is 57 find the number
Answers
Answer:
11
Step-by-step explanation:
Let the number=x
(x+8)*3=57
3x+24=57
3x=33
x=11
Answer:
Let the number be x,
ATQ,
3(8+x)=57
8+x=57/3
x= (57/3)-8
=57/3 - 24/3
= 33/3= 11