Answer:
51
Step-by-step explanation:
5x+6=9x-30
5x=9x-36
4x=36
x= 9
5×9+6=51
Line a passes through (-3,4) and (3,6) line b passes through (-10,-3) and (-8,3) line c passes through (0,5) and (3,-4) line d passes through (4,-7) and (13,-4) determine which of the lines are parallel and which are perpendicular
Lines a and b are parallel lines.
Lines a and c are perpendicular lines
Lines d and c are perpendicular lines.
The formula to calculate the slope between two points is equal to
\(m = y2-y1/(x2-x1)\)
Part 1) Find the slope of Line a
We have the points
(-3,4) and (3,6)
Substituting the value in the formula
\(m = 6-4/ (3-(-3))\\m = 2/6\\ma = 1/3\)
Part 2) Find the slope of Line b
We have the points
(-10,-3) and (-8,3)
Substituting the value in the formula
\(m = 3-(-3)/ (-8-(-10))\\m = 6/(-8+10)\\mb = 6/2=3\)
Part 3) Find the slope of Line c
We have the points
(0,5) and (3,-4)
Substituting the value in the formula
\(m = -4-5/ (3-0)\\m = -9/3\\mc = -3\)
Part 4) Find the slope of Line d
We have the points
(4,-7) and (13,-4)
Substituting the value in the formula
\(m = -4-(-7)/ (13-(4))\\m = 3/9\\md = 1/3\)
Part 5) Compare the slopes
Remember that
If lines are parallel then their slopes are equal.
If lines are perpendicular then their slopes are opposite reciprocal.
We've got,
\(ma = 1/3\\mb = 3\\mc = -3\\md = 1/3\)
Lines a and b are parallel lines (slopes are the same).
Lines a and c are perpendicular lines (slopes are opposite reciprocal).
Lines d and c are perpendicular lines (slopes are opposite reciprocal).
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WILL MARK BRAINLIEST TO THE BEST ANSWER. I NEED ANSWERS FOR ALL OF THE QUESTIONS. I EVEN NEED TO KNOW HOW YOU SOLVED IN. (multiply, subtract exponents, etc) THANKS.
Answer:
a. 10,000
b. 81
c. -8
d. 25
e. 1236
f. 8/27
g. 81/625
h. 1/32
i. 1/36
j. 1
k. 8
Step-by-step explanation:
How I got each of these answers:
a. 10^4
10 * 10 * 10 * 10
100 * 10 * 10
1000 * 10
10000
b. -3^4 (two negatives equal a positive)
-3 * -3 * -3 * -3
9 *-3 * -3
-27 * -3
81
c. -2^3
-2 * -2 * -2
4 * -2
-8
d. -5^2
-5 * -5
25
e. -6^4
-6 * -6 * -6 * -6
36 * -6 * -6
-216 * -6
1236
f. (2/3)^3
(2*2*2)/(3*3*3)
(4*2)/(9*3)
8/27
g. (-3/5)/4
(-3*-3*-3*-3)/(5*5*5*5)
(9*-3*-3)/(25*5*5)
(-27*3)/(125*5)
81/625
h. (1/2)^5
1/(2*2*2*2*2)
1/(4*2*2*2)
1/(8*2*2)
1/(16*2)
1/32
i. (-1/6)^2
(-1 * -1)/(6*6)
1/36
j. (2/5)^9 / (2/5)^9
(2^9)/(5^9) / (2^9)/(5^9)
(512/1953125) / (512/1953125)
1
k. -24t^4/-3t^4
(-24t^4)^1 * (1/-3t^4)
(-24)^1 * (t^4)^1 * (1/-3) * (1/t^4)
(-24)^1 * (1/-3)(t^4) * (1/t^4)
(-24)^1 * (1/-3) * t^4 * t^4(-1)
(-24)^1 * (1/-3) * t^4 * t^-4
(-24)^1 * (1/-3) * t^0
-24 * -1/3 * t^0
8t^0
8 * 1
8
On a spelling quiz, Lily got 16 out of 20 questions correct. Select all the expressions that show the ratio of Lily’s correct answers to incorrect answers.
Answer:
ACD
Step-by-step explanation:
VNQLW3M2L,Q;KJ52KQ
11 + 2/3x how do u solve this
Answer:
answer -15 ans hope this helps
Answer:
2x+33/3
Step-by-step explanation:
Combine multiplied terms into a single fraction:11+2/3x 11+2x/3
Find a common denominator:11+2x/3 3 x 11/3 + 2x/3
Combine fractions with a common denominator:3 x 11/3 + 2x/3 3 x 11 + 2x/3
Multiply the numbers:3 x 11 + 2x/3 33+2x/3
Rearrange terms:33+2x/3 2x+33/3
determine the average number of planes that will stack up, waiting to land. 2. (2) find the average time a plane must wait in line before it can land. 3. (2) calculate the average time it takes a plane to clear the runway once it has notified the airport that it is in the vicinity and wants to land.
Average number of planes that will stack up waiting to land: This can vary greatly depending on the size of the airport, the number of flights per day, and the number of runways available.
What is average?
Average, mean, median, and norm all refer to something that sits in the middle. The average is the ratio created by dividing the total number of figures in a set by the total number of figures.
To determine the average number of planes that will stack up waiting to land, we need to know the rate at which planes arrive at the airport and the rate at which they are able to land.
Generally, an airport can expect to experience a queue of up to 10 planes waiting to land at peak times.
Average time a plane must wait in line before it can land: This also varies significantly depending on the airport and the conditions. Generally, a plane must wait an average of 5-7 minutes before it is able to land.
Average time it takes a plane to clear the runway once it has notified the airport that it is in the vicinity and wants to land: This time will depend on the size of the airport, the number of planes in the queue, and the amount of time it takes for the plane to taxi off the runway. Generally, a plane can expect to clear the runway in about 2-3 minutes.
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Need Help pls!! I would rlly
appreciate it
Compounded semi annually y=1400(1.05) 2t compounded monthly is y=6200(1.007)12t compounded quarterly is y=3500(1.023) 4t
How to calculate compound interest?Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.A (Future Value of the investment) is to be calculated. P (Initial value of investment) = $ 10,000. r (rate of return. You can calculate this by, ROR = {(Current Investment Value – Original Investment Value)/Original Investment Value} * 100read more) = 2% compounded quarterly.Compound interest causes your wealth to grow faster. It makes a sum of money grow at a faster rate than simple interest because you will earn returns on the money you invest, as well as on returns at the end of every compounding period. This means that you don't have to put away as much money to reach your goals!To learn more about compound interest refers to:
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What transformation is shown in the diagram?
Answer:
1) A reflection across the y-axis
and then
2) A reflection across the x-axis
Step-by-step explanation:
n = 3m -11
2m + 3n = 0
Show how to find system of equations
Answer:
tranform the 1st one to: 3m-n=11
add the 1st and 2ns equations: 5m+2n=11
Let V be the vector space of all 3 x 3 real matrices (all entries are real numbers) and M be a subset of V containing all diagonal matrices. (a) If A E M and B EM, is A + B E M? Justify your answer. (b) If k ER, DE M, is kDE M? Justify your answer. (c) Is M a subspace of V?
(a) Yes, A + B is also in M (b) Yes, kD is also in M (c) Yes, M is a subspace of V
(a) Yes, A + B is also in M. This is because the sum of two diagonal matrices is also a diagonal matrix, and therefore A + B has all zero entries outside of the diagonal, and so A + B is in M.
(b) Yes, kD is also in M. This is because multiplying a diagonal matrix by a scalar simply multiplies each entry on the diagonal by that scalar, and so kD is still a diagonal matrix and thus is in M.
(c) Yes, M is a subspace of V. To show this, we need to verify that M satisfies the three properties of a subspace:
The zero vector, which is the 3 x 3 matrix with all entries equal to zero, is in M.
If A and B are in M, then their sum A + B is also in M, as we showed in part (a).
If A is in M and k is any scalar, then kA is also in M, as we showed in part (b).
Therefore, M satisfies all three properties of a subspace and is thus a subspace of V.
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Identical rods can be placed end to end, as shown below.
Each rod is 17-5cm long
17.5 cm
17. 5 cm
17.5cm
How many of these rods can be placed in this way, between two points 4 metres apart?
Step-by-step explanation:
if there is no inventory to move around, there is no need for logistics. do you agree ? why ? why not ?
Which is the best description of the algebraic equation shown?
y - 9 = 3 + x
A. There are two variables in this algebraic equation. The coefficients are −9 and 3. The operations in the algebraic equation from left to right are subtraction, addition, and then multiplication.
B.There are two variables in this algebraic equation. The coefficients are −9 and 3. The operations in the algebraic equation from left to right are subtraction, addition, and then multiplication.
C.There are no coefficients in this algebraic equation. The only operation shown is addition.
D.The algebraic equation has two variables. One appears on each side of the equal sign. Both variables have a coefficient of 1. The operations in the algebraic equation from left to right are multiplication, subtraction, addition, and multiplication.
Evaluate 11.5x + 10.9y when x = 6 and y =7
The value of the algebraic expression 11.5x + 10.9y at x = 6 and y = 7 is 145.3
What is an algebraic expression?
Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division
The given algebraic expression is 11.5x + 10.9y
We have to find the value of the algebraic expression at x = 6 and y = 7
Putting x = 6 and y = 7 in the algebraic expression,
\(11.5 \times 6 + 10.9 \times 7\)
69 + 76.3
145.3
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Barbara says that the expression
6 - 3y + 4 + 2y is equivalent to the expression
5y + 10. Is Barbara correct?
Answer:
No she is wrong.
Step-by-step explanation:
Let's simplify step-by-step.
6−3y+4+2y
=6+−3y+4+2y
Combine Like Terms:
=6+−3y+4+2y
=(−3y+2y)+(6+4)
=−y+10
Answer:
=−y+10
A sociologist develops a test to measure attitudes about public transportation, and 27 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is 21.4. a. Find a 95% confidence interval for the mean score on the test. Be sure to write out what you entered in your calculator. (3 points) b. Interpret the interval you found in part a. (2 points) • For parts c-e, calculations are not necessary. c. Suppose the standard deviation of the tests had been 42.8 instead of 21.4. What would the larger standard deviation do to the width of the confidence interval? (1 point) d. If the confidence level were reduced to 90%, will the interval be wider or narrower? (1 point) e. If the sample size was increased to 75 subjects, will the interval be wider or narrower? (1 point)
a) Entering this into a calculator gives us:CI = (63.876, 88.524) b) test for the population is between 63.876 and 88.524 c) If the standard deviation of the test scores had been 42.8 instead of 21.4, the width of the confidence interval would increase. d) . If the confidence level were reduced to 90%, the interval would be narrower. e) If the sample size was increased to 75 subjects, the interval would be narrower.
a. To find a 95% confidence interval for the mean score on the test, we can use the formula:
To find the confidence interval, we need to estimate the population standard deviation with the sample standard deviation. So:
CI = 76.2 ± 1.96 * (21.4/√27)
Entering this into a calculator gives us:
CI = (63.876, 88.524)
b. The confidence interval we found tells us that we are 95% confident that the true mean score on the test for the population is between 63.876 and 88.524. In other words, if we were to take many random samples of 27 people and compute a 95% confidence interval for each one, then about 95% of those intervals would contain the true population mean.
c. If the standard deviation of the test scores had been 42.8 instead of 21.4, the width of the confidence interval would increase. This is because a larger standard deviation means that the data are more spread out, which makes it more difficult to estimate the population mean accurately.
d. If the confidence level were reduced to 90%, the interval would be narrower. This is because a higher confidence level requires a larger z-score, which widens the interval. Conversely, a lower confidence level requires a smaller z-score, which narrows the interval.
e. If the sample size was increased to 75 subjects, the interval would be narrower. This is because a larger sample size decreases the standard error (σ/√n), which makes it easier to estimate the population mean accurately and results in a narrower confidence interval.
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A recipe calls for x an amount of sugar, but Jeff wants to cut the recipe by 14 because he does not want any leftovers. After cutting the amount of sugar needed for the original recipe by 14, Jeff uses 2 cups of sugar. How much sugar did the original recipe call for?
please give equation
The sugar that the original recipe call for is 0.5 cups.
How much sugar did the original recipe call for?From the information, the recipe calls for x an amount of sugar, but Jeff wants to cut the recipe by 1/4 because he does not want any leftovers. After cutting the amount of sugar needed for the original recipe by 1/4, Jeff uses 2 cups of sugar.
The original amount will be calculated thus:
x ÷ 1/4 = 2
x ÷ 0.25 = 2
x = 2 × 0.25
x = 0.5
The original amount is 0.5 cups.
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Answer this for me please! thanks very much <3
the answer is b lil boy ggggggg
Mr. Lawson also makes cupcakes in his bakery . He made 9 dozen cupcakes for the school to sell at its Spring Fling
- The school sold 36 cupcakes by noon
- They sold 24 more cupcakes by 3:30
- The remaining cupcakes were sold equally during each of the 2 hours between 4 and 6 o’ clock.
Write an equation that can be used to find c , the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock
The number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock is 24 cupcakes.
How to write an equation that can be used to find c?Since the total number of cupcakes that were sold is equal to 9 dozen cupcakes.
Total number of cupcakes = 9 * 12 = 108 cupcakes.
Since c is the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock.
We can write an equation that represents the total number of cupcakes sold as follows:
36 + 24 + c + c = 108
Solve for c:
36 + 24 + c + c = 108
36 + 24 + 2c = 108
60 + 2c = 108
2c = 108 - 60
2c = 48
c = 48/2
c = 24
Therefore, the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock is 24 cupcakes.
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in a weighted, connected graph with edge weights being not necessarily distinct, if one mst has k edges of a certain weight w, then any other mst must also have exactly k edges of weight w. is this true or false
This statement is false. In a weighted, connected graph with edge weights not necessarily distinct, if one Minimum Spanning Tree (MST) has k edges of a certain weight w, it is not guaranteed that any other MST must also have exactly k edges of weight w.
1. In a weighted graph, each edge has a weight (or cost) associated with it.
2. A connected graph means there is a path between any pair of vertices.
3. An MST is a subgraph that connects all the vertices in the graph, without any cycles, and with the minimum possible total edge weight.
However, there can be multiple MSTs for a given graph, and their edge weights distribution might not be the same. This is because MSTs are primarily focused on minimizing the total weight, not necessarily preserving the number of edges with a specific weight. Different MSTs may use different sets of edges to achieve the minimum total weight, so they might not have the exact same count of edges with weight w.
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given that z is a standard normal random variable what is the probability that z ≥ -2.12?
a. 0.966
b. 0.017
c.4830
0.9830
From a population of 200 elements, a sample of 49 elements is selected. It is determined that the sample mean is 56 and the sample standard deviation is 14. The standard error of the mean is
a. 3
b. 2
c. greater than 2
d. less than 2
The probability that z ≥ -2.12 can be found using a standard normal distribution table or calculator. The answer is approximately 0.9830. 2. For a sample of 49 elements with a sample mean of 56 and a sample standard deviation of 14, the standard error of the mean is: b. 2
The standard error of the mean can be calculated using the formula:
\(standard error = sample standard deviation / square root of sample size\)
In this case, the sample standard deviation is 14 and the sample size is 49. Therefore, the standard error of the mean is:
standard error = 14 / √49
standard error = 14 / 7
standard error = 2
So the answer is (b) 2.
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x^2-2x-15>0; use -5,0 and 7 to help find the solution
I don't know what is given when I 8th May but if you can please send the answers
dang. Yall need to stop harrassing a girl for what she asks for. If she asks for perfume, she gets perfume. Nothing wrong with that. Comment if you agrreee/
Answer:
._.
Step-by-step explanation:
If she has money, she gets stuff. If she broke, doesn't work/help, and expects another person to buy it for her, she ain't gonna get anything. Either way, she better work for that perfume.
Answer:
h*ll yes theyre still human i dont know why people care about that stuff
Step-by-step explanation:
if they deserve it then who cares
3) A cookie recipe calls for 9 cups of flour for 4
batches of cookies. How many cups of flour
per 1 batch of cookies? How many cups of
flour are needed for 11 batches of cookies?
The temperature was -13°F and then rose 9°F.
what's the temperature?
Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
O f() = -5x2 + 8x - 1
Of(x) = -222 +50 - 1
O f(x) = -3.x2 + 4.0 – 1
O f() = -3x2 + 10x - 1
Answer:
The equation is;
f(x) = -2·x² + 5·x - 1
Step-by-step explanation:
The general form of a quadratic equation or function f(x) is, f(x) = y = a·x² + b·x + c
Given that the points representing the quadratic function are;
(-1, -8), (0, -1), (1, 2) which are of the form (x, y)
When x = -1, f(x) = y = -8
Plugging in the above values into the general form of a quadratic function, we have;
-8 = a·(-1)² + b·(-1) + c = a - b + c
-8 = a - b + c.........................(1)
When x = 0, y = -1, we have;
-1 = a·(0)² + b·(0) + c = c
c = -1.......................................(2)
When x = 1, y = 2, which gives;
2 = a·(1)² + b·(1) + c = a + b + c
2 = a + b + c........................(3)
Adding equation (1) to equation (3), we have;
-8 + 2 = a - b + c + a + b + c
-8 + 2 = 2·a + 2·c
From equation (2) c = -1, we get;
-8 + 2 = -6 = 2·a + 2·c = 2·a + 2 × (-1)
-6 = 2·a - 2
-4 = 2·a
a = -2
From equation (3), we have
2 = a + b + c
Substituting the values of a, and c gives;
2 = -2 + b - 1
b = 2 + 2 + 1 = 5
b = 5
The equation is therefore;
f(x) = -2·x² + 5·x - 1.
Answer:
b
Step-by-step explanation:
please help asapppppp
Answer:
45 degree
Step-by-step explanation:
I drive from town a to my home and then to town b. the journey time is 50 minutes what is the average speed?
The average speed can be shown as (A + B)/50 miles per minute, where the distance between town A and his home is A miles, and that from his home to town b is B miles, and the total time is 50 minutes.
The average speed of any object is given as the ratio of the total distance traveled by the body, to the total time taken.
Average Speed = Total Distance/Total Time.
In the question, we are informed that the person drove from town a to his home and then to town b, with the total journey time as 50 minutes.
We are asked to find the average speed of the person.
We assume the distance from town a to his home to be A miles.
We assume the distance from his home to town b to be B miles.
Thus, the total distance traveled = A + B miles.
The total time taken by the person is given to be 50 minutes.
We know that the average speed of any object is given as the ratio of the total distance traveled by the body, to the total time taken.
Thus, the average speed of the person can be shown as:
Average Speed = (A + B)/50 miles per minute.
Thus, the average speed can be shown as (A + B)/50 miles per minute, where the distance between town A and his home is A miles, and that from his home to town b is B miles, and the total time is 50 minutes.
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A cab company charges a $4 boarding rate in addition to its meter which is $1. 50 for every mile. Write a linear equation which models this. Use the equation to determine the total fare for a trip that is 2 miles, 3 miles and 5 miles
The linear equation that models the cab fare is: f(5) = 1.5(5) + 4 = 11.5 dollars
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant.
The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has just one solution. For instance, the linear equation 2x+3=8 only has one variable. As a result, this equation has a single solution, x = 5/2.
Here f(x) = 1.5x + 4
where x is the number of miles.
To find the total fare for a 2-mile trip:
f(2) = 1.5(2) + 4 = 7 dollars
To find the total fare for a 3-mile trip:
f(3) = 1.5(3) + 4 = 7.5 dollars
To find the total fare for a 5-mile trip:
f(5) = 1.5(5) + 4 = 11.5 dollars
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I will give brainliest!!!
A. 4x+2=6-x
B. 5x+2=6
1) How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A) Add/subtract a quantity to/from only one side
(Choice B) Add/subtract the same quantity to/from both sides
(Choice C) Multiply/divide only one side by a non-zero constant
(Choice D) Multiply/divide both sides by the same non-zero constant
Answer:
A. x= 4/5
B. x=4/5
Step-by-step explanation:
1) My guess would be B because in both of them you subtract 2 just not at the same time, I hope this is correct
simplify honestly : 3a(2a-x+1) please
Answer:
6a2-3ax+3a
Step-by-step explanation:
Answer:
6a² - 3ax + 3aStep-by-step explanation:
3a(2a-x+1)
= 6a² - 3ax + 3a
The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 112 square inches. Solve for the dimensions (length and width) of the poster.
The dimensions of the rectangle will be 16 inches long and 7 inches wide,
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L × W square units
The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 112 square inches. Then the equations are given as,
LW = 112 ...1
L = 2W + 2 ...2
From equations 1 and 2, then we have
(2W + 2)W = 112
2W² + 2W - 112 = 0
W² + W - 56 = 0
W² + 8W - 7W - 56 = 0
W(W + 8) - 7(W + 7) = 0
(W + 8)(W - 7) = 0
W = 7, -8
Neglect - 8 because of negative signs. Then the length is given as,
L = 2 x 7 + 2
L = 14 + 2
L = 16
The dimensions of the rectangle will be 16 inches long and 7 inches wide,
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