Answer:
Y = negative x + 9
Step-by-step explanation:
Find the equation of the line for side S-
m= 4-1/1-4 = 3/-3 = -1
The Gradient is -1
Since parallel lines share the same gradient, it should be either of the first two options.
We can see side Q shares the same gradient: 3-6/6-3= -1
Find the equation of the line of side Q-
y-y1= m(x-x1)
y-6= -1(x-3)
y-6=-x+3
y= -x+9
Answer:
a
Step-by-step explanation:
2 thousands 7 tens ÷10
Answer:
27
Step-by-step explanation:
easy
The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours?
The correct statement is that for each hour, the earnings go up by $7. Option A
What is straight line graph?If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.
We can find the slope of the graph to know as said above;
m = y2 - y1/x2 - x1
m = 14 - 0/2 - 0
m = 7
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Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?
Why is the limit to infinity of 2^n/2^n+1 = lim to infinity 1/2?
Step-by-step explanation:
lim(n→∞) (2ⁿ / 2ⁿ⁺¹)
lim(n→∞) (2ⁿ / (2ⁿ × 2¹))
lim(n→∞) (1 / 2)
1/2
k(kooooollloojjiiuujoiuohogo
Which statement is correctly written as a conditional statement?
The number 10 is an even number, or it is a composite number.
If the number 10 is an even number, then it is a composite number.
The number 10 is an even number when it is a composite number.
A number, such as 10, is a composite number because it is even.
The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even. so the correct option is D.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of a/b
where a and b are integers.
Irrational numbers are those real numbers which are not rational numbers.
Here, Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
A composite number is a number divisible by another number than 1 and the number itself.
To find example, a sum of two composite numbers, which is not a composite number, is needed.
The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even.
Hence so the correct option is D.
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Jill is 11 years younger than Pete. The sum of their ages is 29. What’s the age of Pete.
Answer:
The sum of their ages is 29, which we can express as the equation:
P + (P - 11) = 29
Simplifying the equation:
2P - 11 = 29
Adding 11 to both sides:
2P = 40
Dividing both sides by 2:
P = 20
Therefore, Pete's age, represented by "P," is 20 years old.
Can some one help me please god bless you
25 points
Please answer the question in the picture
Will mark brainliest
Answer:
g(x) = 2x² - 10
Step-by-step explanation:
g(x) = f(x) - 2
so
g(x) = 2x² - 8 - 2
g(x) = 2x² - 10
Find the square root of -162 and please explain your answer
Answer:
12.7279221 i
Step-by-step explanation:
Round to 13 or 12.7
GIVING BRAINLIEST PLZ HELP !!
Answer:
D
Step-by-step explanation:
Because it is x - 7, we know it has a phase shift of + 7 to the right.
We also know that since +1 is in the equation, there is a vertical shift of + 1.
Hope this helps
A $25,000 deposit for 4 years at a 3.56% compounded
continuously.
Principal:
Interest:
Balance:
Answer:
B. principal
Step-by-step explanation:
PLEASE HELP!
32 = w – 4
1) What is the coefficient?
2) What is the constant?
3) What is the result?
4) What is the variable?
Answer:
1) 1
2.) -4
3.) 32
4.) w
Step-by-step explanation:
Coefficient is the number that is being multiplied by x. W is the same as 1w, so 1 is the coefficient
Constant is the number without any variable that is getting added to the variable (I think that's the definition), and that's -4, because when you subtract a number it's the same as adding it (w+(-4)).
Result is what you're getting, so it is 32, because w-4 equals 32, 32 is the result.
Variable is the unknown value represented by some sort of symbol, which is w, because we don't know w.
W=36
The equation Y= X^2/2 - 8 and Y= 2X -2 are graphed below what are the solutions to the equation X^2/2 - 8 = 2X -2 
The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.
To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.
The equation is:
X^2/2 - 8 = 2X - 2
To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:
X^2 - 16 = 4X - 4
Next, we rearrange the equation to have all terms on one side:
X^2 - 4X - 12 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:
(X - 6)(X + 2) = 0
Setting each factor equal to zero gives us two possible solutions:
X - 6 = 0 --> X = 6
X + 2 = 0 --> X = -2
So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.
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Which values of x are point(s) of discontinuity for this function? Function x = –4 x = –2 x = 0 x = 2 x = 4
Answer:
x=0 and x=2
Step-by-step explanation:
We need to check at each point where the function changes definition
At x= -2
On the left side -4 on the right side = -( -2)^2 = -4 continuous
At x=0
The point is not defined since neither side has an equals sign
discontinuous
x =2
on the left side 2^2 =4 on the right side 2
It is discontinuous
Answer:
x = 0
x = 2
Step-by-step explanation:
Edge 2020
~theLocoCoco
A farmer earns $___ for each orange she sells. She had to pay $___ for fertilizer. Part A: Rewrite the description by filling in the blanks with values of your choice to show the amount of money the farmer could earn selling any number of oranges, n. Make sure the values you choose make sense for this situation. (6 points) Part B: Write an algebraic expression from your written description used in Part A. Let n stand for the number of oranges. (6 points)
D. Which transformations (vertical shift, horizontal shift, dilations, and reflections) change the domain of a function.
Support your answers with equations and graphs.
The transformations that change the domain of a function are given as follows:
Horizontal shift.Dilation.Reflection over the y-axis.What is the domain of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.
Hence we must look at transformations that change the values of x of the function, which are given as follows:
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what is the value of x?
help would be so appreciated!
Answer:
x =23
Step-by-step explanation:
ok first, the full degree of a straight line is 180°
subtract 38° out of 180°
180-38= 142
so 6x+4= 142°
subtract 4 from both sides of the equation
6x +4 -4= 142-4
6x=138
divide 6 from 6x and 138
x=23
Jack is taller than Pater and Bill is shorter than Jack. what is accurate?
Bill is taller than Peter
Compute |1-3+5-7+...+13-15|
Answer:
8
Step-by-step explanation:
There are a couple different ways you can solve this, but this is generally the quickest way.
Identify a pattern in the problem. We can see that \(1-3=-2\), \(5-7=-2\), and so on. Subtracting every two odd numbers (without repeating any numbers) in that problem will always give us the same answer: -2.
So, we see how many pairs of odd numbers there are.
1 and 3, 5 and 7, 9 and 11, 13 and 15. We have four pairs of odd numbers. We can just multiply -2 by 4, which leaves us with an answer of -8.
Finally, since this is also an absolute value equation, the answer will be positive, so the final answer is 8.
what is 6/7 divided 10/3
Answer:
6/7 divided by 10/3= 18/70 or reduced 9/35
Step-by-step explanation:
6/7 divided by 10/3
6/7*3/10= 9/35
- - Use the Quadratic Formula to solve the equation x2 – 2x = -9.
A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel.
The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that
changes a 1 to a 0 with probability 0.1 and changes a 0 to a 1 with probability 0.2. Show your work below.
a. What is the probability a 1 is received?
b. If a 1 is received, what is the probability a 0 was sent?
Answer:
A: the probability that a 1 is received is 0.56.
B: the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).
Step-by-step explanation:
To solve this problem, we can use conditional probabilities and the concept of Bayes' theorem.
a. To find the probability that a 1 is received, we need to consider the two possibilities: either a 1 was sent and remained unchanged, or a 0 was sent and got flipped to a 1 by the random error.
Let's denote:
P(1 sent) = 0.6 (probability a 1 is sent)
P(0→1) = 0.2 (probability a 0 is flipped to 1)
P(1 received) = ?
P(1 received) = P(1 sent and unchanged) + P(0 sent and flipped to 1)
= P(1 sent) * (1 - P(0→1)) + P(0 sent) * P(0→1)
= 0.6 * (1 - 0.2) + 0.4 * 0.2
= 0.6 * 0.8 + 0.4 * 0.2
= 0.48 + 0.08
= 0.56
Therefore, the probability that a 1 is received is 0.56.
b. If a 1 is received, we want to find the probability that a 0 was sent. We can use Bayes' theorem to calculate this.
Let's denote:
P(0 sent) = ?
P(1 received) = 0.56
We know that P(0 sent) + P(1 sent) = 1 (since either a 0 or a 1 is sent).
Using Bayes' theorem:
P(0 sent | 1 received) = (P(1 received | 0 sent) * P(0 sent)) / P(1 received)
P(1 received | 0 sent) = P(0 sent and flipped to 1) = 0.4 * 0.2 = 0.08
P(0 sent | 1 received) = (0.08 * P(0 sent)) / 0.56
Since P(0 sent) + P(1 sent) = 1, we can substitute 1 - P(0 sent) for P(1 sent):
P(0 sent | 1 received) = (0.08 * (1 - P(0 sent))) / 0.56
Simplifying:
P(0 sent | 1 received) = 0.08 * (1 - P(0 sent)) / 0.56
= 0.08 * (1 - P(0 sent)) * (1 / 0.56)
= 0.08 * (1 - P(0 sent)) * (25/14)
= (2/25) * (1 - P(0 sent))
Therefore, the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).
A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel. The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that changes a 1 to a 0 with probability 0.2 and changes a 0 to a 1 with probability 0.1. (a) What is the probability a 0 is received? (b) If a 1 is received, what is the probability a 0 was sent?
How does the graph of f(x)
change to become g(x)
?
The correct answer is: C) The graph of f(x) is reflected over the x-axis and translated 3 units up to become g(x).
To understand how the graph of f(x) changes to become g(x), let's analyze the transformations applied.
The function f(x) = log(3x) represents a logarithmic function, where the base of the logarithm is 10. The graph of f(x) will have a vertical asymptote at x = 0 and will increase as x increases.
The function g(x) = -f(x) + 3 takes the negative of f(x) and then adds 3 to it. This means that the graph of g(x) is obtained by reflecting the graph of f(x) over the x-axis and then translating it vertically 3 units up.
The reflection over the x-axis changes the sign of the y-values, so the graph of g(x) will be below the x-axis where the graph of f(x) is above the x-axis, and vice versa.
The translation 3 units up moves the entire graph vertically, shifting it higher on the coordinate plane.
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Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work. (10 points)
MARKING BRINLIEST AND GIVING A LOT OF POINTS PLSSSS HELP
The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.
Total number of Outfit Combinations:
There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.
No of favourable options:
As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .
Probability = Number of favourable outcomes/Total no. of combinations
Probability = 1/8
Probability = 0.125 or 12.5%
Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
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Enter the number that belongs in the green box
The angle measure that belongs in the green box is given as follows:
70.67º.
What is the law of sines?We consider a triangle with side lengths and angles related as follows, as is the case for this problem:
Side length of a is opposite to angle A.Side length of b is opposite to angle B.Side length of c is opposite to angle C.Then the lengths and the sines of the angles are related as follows:
sin(A)/a = sin(B)/b = sin(C)/c.
The relation for this problem is given as follows:
sin(x)/12 = sin(76º)/12.34
Applying cross multiplication, the missing angle measure is given as follows:
sin(x) = 12 x sine of 76 degrees/12.34
sin(x) = 0.9436.
x = arcsin(0.9436)
x = 70.67º.
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Each marble bag sold by Jose’s Marble company contains 5 purple marbles for every 7 red marbles. If a bag has 42 red marbles, how many purple marbles does it certain?
Step-by-step explanation:
If a bag has 30 orange marbles then that means it has 42 red marbles
Step-by-step explanation:
If there are 7 red marbles for every 5 orange marbles then what do is. you would
30/5=6
6*7=42
Susan bought a 1 kilogram bag of grapes. On the way home, she ate 125 grams of the grapes. How many grams of grapes does Susan have left? use math language and symbols to explain how you used the correct measurement units to solve the problem.
Susan has 875 grams of grapes left.
1. Susan bought a 1 kilogram bag of grapes, which is equivalent to 1000 grams (since there are 1000 grams in a kilogram).
2. Susan ate 125 grams of the grapes on her way home.
3. To find out how many grams of grapes Susan has left, we need to subtract the amount she ate from the initial weight of the bag. Therefore, we subtract 125 grams from 1000 grams.
1000 grams - 125 grams = 875 grams
4. Thus, Susan has 875 grams of grapes left.
measurement units:
In this problem, we used grams as the measurement unit. Grams are commonly used to measure the weight of small objects like grapes. Since the problem stated that Susan bought a 1 kilogram bag of grapes, it was necessary to convert the kilogram measurement to grams.
This conversion was done by multiplying the kilogram value by 1000 (1 kilogram = 1000 grams). By using the correct measurement units, we were able to accurately calculate the amount of grapes Susan had left after eating a portion.
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Whats the point slope equation
Answer:
y-4 = 8/7(x-4)
Step-by-step explanation:
formula is y-y=m(x-x) just substitute the numbers in
The flight of a golf ball can be represented by a parabola with a vertex (75,55). During the flight, the ball was 100 yards away from the tee and had a height of 49.375 feet. What is the equation in vertex for a parabola that represents the ball's vertical distance, y, and horizontal distance from the tee, x?
The equation in vertex for the parabola for y in terms of x is y = -0.009(x - 75)² + 55
How to determine the equation in vertex for a parabola?From the question, we have the following parameters that can be used in our computation:
Vertex = (75, 55)
Point = (100, 49.375)
The equation in vertex form for a parabola is represented as
y = a(x - h)² + k
Where
Vertex (h, k) = (75, 55)
Point (x, y) = (100, 49.375)
So, we have
y = a(x - 75)² + 55
Substitute (x, y) = (100, 49.375) in y = a(x - 75)² + 55
49.375 = a(100 - 75)² + 55
So, we have
625a = -5.625
Divide by 625
a = -0.009
Substitute a = -0.009 in y = a(x - 75)² + 55
y = -0.009(x - 75)² + 55
Hence, the equation is y = -0.009(x - 75)² + 55
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