what is the equation of the line that passes through the point (-6,-5) and had a slope of 3/2
!!PLEASE HELP ME!!
Which of the following is the product of the rational expressions shown below?
12/x2+7x
hope it is right
Answer:
12 / x2 + 7x
Explanation:
Multiply the fractions
12/ x · (x + 7)
Distribute x
12/ x2 + 7x
a bag holds 6 tiles: 2 lettred and 4 numbered. without looking, chose a tile. what is the probability of drawing a number
Answer: 0.66 (repeating)
Step-by-step explanation:
2/3 is equivalent to 4/6 and 2/3 is 0.66 repeating
Pat is at a right angle from Chris and Jaime, and Chris is at a 48° angle from Pat and Jaime. Which statements are true? Check all that apply.
Answer:
right angle
Step-by-step explanation:
Answer:a,b, and d
Step-by-step explanation:
How to Convert Decimal to Octal?
Answer:
Step-by-step explanation:
We divide the number by 8 and write the remainder in reverse order to get the equivalent octal number.
Answer:
Let's write down the base of each one:
- Decimal is base 10 (0 to 9)
- Octal is base 8 (0 to 7)
So, if we want to convert decimal to octal, we need to divide the decimal number by 8 and hold onto the remainder.
Then once your quotient becomes 0, from the last remainder to the first, write your numbers.
For example here is 437 base 10.
437 / 8 = 54 R 5
54 / 8 = 6 R 6
6 / 8 = 0 R 6
So, the answer is 665 base 8.
Find matrix M such that M × [3 -2 , 6 -8 ] = [-2 16]
The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]
Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16]. We know that the product of two matrices is equal to the sum of the products of their corresponding elements. We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.
a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...
(4)Simplifying equations (1) to (4), we get:
3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)
Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.
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The General Social Survey asked 1676 people how many hours per day they were able to relax. The results are presented in the following table: 0 114 1 156 2 336 3 251 4 316 5 231 6 149
7 33
8 60
Total 1676 Consider these 1676 people to be a population. Let X be the number of hours of relaxation for person sampled at random from this population a) Construct the probability distribution of X. (3 marks) b) Find the probability that a person relaxes more than 4 hours per day. (2 marks) c) Find the probability that a person relaxes from 2 to 6 hours per day d) Find the probability that a person does not relax at all (2 marks) e) Compute the mean Mx. (3 marks) f) Compute the standard deviation Ox: (3 marks)
The probability distribution of the number of hours per day people are able to relax is constructed, and probabilities of relaxing more than 4 hours, between 2 to 6 hours, and not relaxing at all are 0.283, 0.767 and 0.068 respectively. The mean and standard deviation are 3.326 hours and 1.950 hours (approx.) respectively.
The probability distribution of X is:
X Frequency Probability
0 114 0.068
1 156 0.093
2 336 0.201
3 251 0.150
4 316 0.189
5 231 0.138
6 149 0.089
7 33 0.020
8 60 0.036
1676 1.000
The probability that a person relaxes more than 4 hours per day is:
P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)
= 0.138 + 0.089 + 0.020 + 0.036
= 0.283
The probability that a person relaxes from 2 to 6 hours per day is:
P(2 ≤ X ≤ 6) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)
= 0.201 + 0.150 + 0.189 + 0.138 + 0.089
= 0.767
The probability that a person does not relax at all is:
P(X = 0) = 0.068
The mean Mx is:
Mx = Σ(X * P(X))
= 00.068 + 10.093 + 20.201 + 30.150 + 40.189 + 50.138 + 60.089 + 70.020 + 8*0.036
= 3.326 hours
The standard deviation Ox is:
Ox = sqrt[Σ(X^2 * P(X)) - Mx^2]
= sqrt[(0^20.068)+(1^20.093)+(2^20.201)+(3^20.150)+(4^20.189)+(5^20.138)+(6^20.089)+(7^20.020)+(8^2*0.036) - 3.326^2]
= 1.950 hours (approx.)
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A simple random sample of 14 students on a large university campus is asked to complete a survey. One of the questions on the survey asks for the number of credit hours for which they are currently enrolled. The results of the survey are shown below.
12, 9, 13, 15, 12, 16, 19, 13, 12, 12, 16, 12, 14, 6
What is the median number of credit hours for this sample?
Answer:
The median of 12, 9, 13, 15, 12, 16, 19, 13, 12, 12, 16, 12, 14, 6 is...
12.5 (B)
The median number of credit hours for this sample 12, 9, 13, 15, 12, 16, 19, 13, 12, 12, 16, 12, 14, 6 is 12.5 (B)
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
It is given that A simple random sample of 14 students on a large university campus is asked to complete a survey. One of the questions on the survey asks for the number of credit hours for which they are currently enrolled.
The results of the survey are shown below;
12, 9, 13, 15, 12, 16, 19, 13, 12, 12, 16, 12, 14, 6
The median number of credit hours for this sample 12, 9, 13, 15, 12, 16, 19, 13, 12, 12, 16, 12, 14, 6 is 12.5 (B)
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Select the correct answer.
The function g(x) = x^2 is transformed to obtain function h:
h(x) = g(x) + 1.
Which statement describes how the graph of h is different from the graph of g?
A. The graph of his the graph of g vertically shifted up 1 unit.
B. The graph of his the graph of g vertically shifted down 1 unit.
C. The graph of his the graph of g horizontally shifted left 1 unit.
D. The graph of h is the graph of ghorizontally shifted right 1 unit.
Answer:
A. The graph of his graph of g vertically shifted up 1 unit.
Step-by-step explanation:
h(x) = g(x) + 1
h(x) = x² + 1
The graph shifted up 1 unit.
Answer:
A. The graph of his graph of g vertically shifted up 1 unit.
Step-by-step explanation:
h(x) = g(x) + 1
h(x) = x² + 1
The graph shifted up 1 unit.
What is the base 10 representation of the number 1203⁵? OA) 128 OB) 178 O C) 324 OD) 476
Answer:
B. 178
Step-by-step explanation:
1203∨(5) = 178
Answer:
B) 178
Hope this help ^v^
1. What's the measure of AC?
2. What is the measure of AC'
3. What is the measure of C'B'?
1. The measure of AC = 8.4
2. The measure of AC' = 6
3. The measure of C'B' = 12.6
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.
Given:
Segment B'C' is parallel to segment BC.
A line splits a triangle's sides in the same proportion if it runs parallel to one side and crosses the other sides at two different spots.
Then,
10/4 = 6/x
x = 2.4
The measure of AC = 2.4
And,
14/8.4 = 21/y
y = 12.6
The measure of C'B' = 12.6
Therefore, all the required values are given above.
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what is the difference
Answer:
what is question of this you asked
PLZZZ HELPPP
I need help with this iready anyone
Answer:
ok so this is kinda hard to explain but. what I got out of it was since you are doing you know adding pos with neg so listen when you add something like a pos and a neg you put the pos on top right then you take and put the neg on bottom then you cross out how ever many negatives are there until there is no more negatives left right but that means your also gonna have to cross out how ever many neg there are with positives and if there are more negatives than positives your answer will be negative as well then you just count how many positives arent crossed out and then that would be your answer ect.
Step-by-step explanation:
hope this makes sense and i was able to help!
A savings account earns interest at an annual rate of 3.5%, compounded monthly. If the account begins with a principal amount of $5, 000, what will be its value after 4 years?
Answer:
$5,737.62
Hopefully that is correct!
The area of a circle is 64л сm². What is the circumference, in centimeters? Express your answer in terms of pi
The perimeter of a square is 60 cm. Find the
area of the square.
Step-by-step explanation:
SOLUTIONSince a perimeter is a total distance around the figure.
And a square is a quadrilateral(with four sides) which are equal.To find the length of each side,divide the perimeter by 4.
60 cm÷4 = 15 cmSince,Area of square = side×side = 15cm×15cm = 225cm^2hope it helps you.
Answer:
Area of square = 225 cm²
Step-by-step explanation:
Perimeter of square formula,
→ P = 4 × side
→ P = 4a
Now the side of square will be,
→ P = 4a
→ 4a = 60
→ a = 60/4
→ [ a = 15 cm ]
Then the area of square will be,
→ (a)²
→ (15)²
→ 225 cm²
Hence, area of square is 225 cm².
Find the slope of a line with x-intercept 5 and y-intercept -3.
Answer:
3/5
Step-by-step explanation:
When you are given an x-intercept, the y value will always be 0.
When you are given a y-intercept, the x value will always be 0.
With the intercepts we are given, we can make two points we can solve for the slope with.
(5, 0)
(0, -3)
Now, find the slope with the formula [ y2-y1/x2-x1 ]
-3-0/0-5
-3/-5
3/5 or 0.6
Best of Luck!
The art club had an election to select a president. 25% of the 80 members of the club voted in the election. How many members voted?
Answer:
20, the answer is 20 members
Answer:
3) On a test of 25 questions, a student 4) Alisa earned $30 raking leaves. She ... 80% horror. 6Sn-sdo 1800 ... How many tickets were a) What percent of her weight did sold? ... b) Atlantic Auditorium has 850 seats. b) At the next visit, we were happy to see ... members of the art club voted in the more students joined. election.
Step-by-step explanation:
Explain the difference between finding the vertex of a function written in vertex form and finding the vertex of a function written in standard form.
The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
Convert the standard equation into a vertex form, then we have
x² + (b/a)x + (c/a) = 0
x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0
(x + b/2a)² - b²/4a² + c/a = 0
Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be
(x - h)² + k = 0
The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.
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Guess a number between 1 and 10. First one to guess the number I'm thinking of will be awarded brainliest
Answer:
7
Step-by-step explanation:
given x=69.2x=69.2, μ=63.6μ=63.6, and σ=3.7σ=3.7, indicate on the curve where the given x value would be.
The area under the curve to the left of the point would be approximately 0.9319 unit square
To indicate the given x value on the curve, we need to plot it on a normal distribution curve with mean (μ) 63.6 and standard deviation (σ) 3.7.
First, we need to calculate the z-score, which is a measure of how many standard deviations away from the mean the given x value is located:
z-score = (x - μ) / σ
Substituting the given values, we get:
z-score = (69.2 - 63.6) / 3.7 ≈ 1.49
Next, we can use a z-score table or a calculator to find the corresponding area under the standard normal distribution curve. The area to the left of a z-score of 1.49 is about 0.9319.
Therefore, the point representing the given x value of 69.2 would be located to the right of the mean (μ) on the normal distribution curve, about 1.49 standard deviations away. The area under the curve to the left of the point would be approximately 0.9319 unit square
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Which function in cryptography takes a string of any length as input and returns a string of any requested variable length?
The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.
According to the statement
we have to explain about the function in which cryptography takes a string of any length as input and returns a string of any requested variable length.
So, For this purpose,
we know that the
A sponge function or sponge construction is any of a class of algorithms with finite internal state that take an input bit stream of any length and produce an output bit stream of any desired length.
So from definition and its working process it is clear that for this purpose the sponge function is used.
this function returns the string of any variable length.
So, The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.
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5. Use quadratic regression to find a quadratic equation that fits the given points 0 1 2 3 y 6. 1 71. 2 125. 9 89. 4
The quadratic equation that fits the given points is y = -7x^2 + 27x + 1.
To find a quadratic equation that fits the given points, we can use quadratic regression. We have four points: (0, 1), (2, 71), (3, 125), and (9, 89). Using these points, we can set up a system of equations in the form y = ax^2 + bx + c.
Substituting the x and y values from each point into the equation, we get four equations. Solving this system of equations, we find that the quadratic equation that fits the given points is y = -7x^2 + 27x + 1.
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Jerry has a new job and earns a
salary of $45,000. Victoria has a new
job and earns a salary of $54,000.
Jerry will receive a salary increase of
$2,500 per year, and Victoria will
receive a salary increase of $1,500
per year.
45.0
54.0
45.0
540
Which equation can be used to find x
the number of years it will take
Jerry to earn the same salarv as
Victoria?
a polynomial function h(x) has a zero of x = 3 – 4i with a multiplicity of one. certain values of h(x) are given in the following table.
The polynomial function h(x) has a complex zero at x = 3 – 4i with a multiplicity of one. The given table provides certain values of h(x) for various x-values.
A zero of a polynomial function corresponds to the values of x for which the function evaluates to zero. In this case, the zero is x = 3 – 4i, where 4i represents the imaginary unit multiplied by 4. The multiplicity of one indicates that this zero occurs only once in the function.
The table provides specific values of h(x) for different x-values, which allows us to observe the behavior of the function. However, without knowing the functional form of h(x) or additional information, we cannot determine the complete polynomial equation.
To fully determine the polynomial function h(x) based on the given zero, we need to know all of its zeros, including any real or complex zeros with their respective multiplicities. Additionally, the degree of the polynomial can affect the number of zeros it possesses. With this information, we could reconstruct the polynomial equation using methods such as factoring, synthetic division, or the quadratic formula.
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A polynomial function h(x) has a zero of x = 3 – 4i with a multiplicity of one. Certain values of h(x) are given in the following table.
x h(x)
–5 0
–2 3
–1 0
1 2
4 0
7 6
10 0
If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
3
4
5
6
The endpoints of ab are a (-8,5) and b ( 0,7). find the coordinates of the midpoint M. The coordinates of the midpoint M are
Answer:
947
Step-by-step explanation:
solve this equation:
x+9=23
Answer: 14
Step-by-step explanation:
x + 9 = 23
-9 -9
x = 14
Please help me out I can’t not afford to fail math right now I will mark brainliest when it lets me
Answer:
x = 5, -5
Step-by-step explanation:
17+x^2=42
-17 -17
x^2 = 25
x = + or - root of 25
x = 5,-5
There are four candidates for homecoming queen and three for king. How many different king-queen combinatons are there
There will be 12 combination of different king-queen.
When grouping objects or figuring out how many subgroups can be created from a given collection of objects, combinations are employed. We also employ permutations to calculate the number of possible combinations of unrelated things.
To determine the number of different king-queen combinations, we need to multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king.
There are 4 candidates for queen and 3 candidates for king, so:
4 x 3 = 12
Therefore, the total number of different king-queen combinations is 4 multiplied by 3, which equals 12. So, there are 12 different king-queen combinations.
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1 1/9 x 3 5/10
Please educate me this basic knowledge because I’m so stupif