Answer:
y = 2x + 1
1. Find the slope; (change in y values)/(change in x values)
Slope = (-5 - 3)/ (-3 - 1) = -8/-4 = 2
2. Find the y-intercept (b) using the slope intercept formula: y = mx + b
m = 2 and using point (1, 3) , solve for "b"
y = mx + b
3 = 2(1) + b
3 = 2 + b
1 = b
3. Write the linear equation: y = 2x + 1
Step-by-step explanation:
The radius of a cycle wheel is 35cm . Find the number of turns required to cover a distance of 1540m
Answer:
700 turns
Step-by-step explanation:
hey
______________
in 1 round distance covered = circumference
•radius = 35/100 m
•circumference = 2πr
=2×22/7×35/100
=44×5/100
= 220/100 m
220/100 m covered in 1 turn
1540m covered in 1540×100/220 = 700
hence ans is 700 turns
hope helped
_________________ PLEASE GIVE BRAINLIEST
Answer:
Approximately 700 times
find the order of the matrix product ab and the product ba, whenever the products exist. a is 4 x 2, b is 2 x 4.A) AB is 2 x 2, BA is 4 x 4. B) AB is nonexistent, BA is 2x2. C) AB is 4 x 4, BA is nonexistent. D) AB is 4 x 4, BA is 2 x 2
The correct answer is (D) AB is 4 x 4, BA is 2 x 2.
What is order of a matrix?
The order of a matrix refers to the number of rows and columns in the matrix. If a matrix has m rows and n columns, we say that it is an m x n matrix. The order of the matrix is written as "m x n".
In general, if A is an m x n matrix and B is an n x p matrix, then the product AB is an m x p matrix and the product BA is an n x n matrix.
In this case, A is a 4 x 2 matrix and B is a 2 x 4 matrix. Therefore, the product AB is a 4 x 4 matrix, and the product BA is a 2 x 2 matrix.
So the answer is (D) AB is 4 x 4, BA is 2 x 2.
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Often, independent variables are available to build a regression model of a time series variable. group of answer choices true false
Answer:
true
Step-by-step explanation:
.............................
There are black and white counters in a bag in the ratio 20:17
There are 54
more black counters than white counters.
How many black counters are there?
There are 360 black counters and 306 white counter in 20:17 ratio.
Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:
B/W = 20/17
We also know that there are 54 more black counters than white counters, which means that:
B = W + 54
We can use substitution to solve for B. Substituting the second equation into the first equation, we get:
(W + 54)/W = 20/17
Cross-multiplying, we get:
17(W + 54) = 20W
Expanding the left side, we get:
17W + 918 = 20W
Subtracting 17W from both sides, we get:
918 = 3W
Dividing both sides by 3, we get:
W = 306
Now we can use the second equation to find B:
B = W + 54 = 306 + 54 = 360
Therefore, there are 360 black counters in the bag.
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Help pleaseeeeeeeeeeeeeeeeeeeeeeeee
Answer:
5x + 4 ≤ 15
Step-by-step explanation:
Since he has only $15, he cannot surpass this amount, BUT the items he purchase CAN equal the same amount so it'd look like this ≤ 15
$4 of jelly beans is a constant
$5 per pound is a variable : 5x
5x + 4 ≤ 15
please help i have to make a discussion topic doesn’t have to be long just simple but still answering the question
You would add 5x + 2x = 7x
Substitute 5 for x and that = 5(5)= 35 +2(5)= 10= 45
and do it for 7(5)= 35-1 = 34 too
You can't make them equal
Following the pattern in (5)(3)+(2)(3) = (5+2)(3), we could do the same thing with 5x+2x = (5+2)x. We're basically un-distributing the common factor from each term.
And now with (5+2)x, we can add the 5 and 2 to get 7x.
If we substitute different values into 5x+2x, it works out to add up to 7 times that same substituted value. For example:
(5)(9)+(2)(9)=45+18=63
(7)(9)=63
If we substitute 9 into 7x-1, then we end up with 63-1 = 62.
In fact, any number we put into 5x+2x will always be one more than 7x-1. So, no, there doesn't seem to be any value of x that would make these equal. Since 5x+2x=7x, then 7x-1 will always be one less than 7x.
Round each decimal number to the nearest tenth. Then, select the best estimate for the subtraction equation 1.79 − 0.67 = ___.
Answer:
1.10
Step-by-step explanation:
1.79
0.67
1.12 rounded is 1.10 to the nearest tenth
What percentage of people would exed to score higher than a 2.5, but lower than 3.5? The mean: X=3.00 The SDis= + 0.500 18% 999 o 50% 03%
Therefore, approximately 68.26% of people are expected to score higher than 2.5 but lower than 3.5.
Based on the information provided, the mean (X) is 3.00 and the standard deviation (SD) is 0.50. To find the percentage of people expected to score higher than 2.5 but lower than 3.5, we will use the standard normal distribution (z-score) table.
First, we need to calculate the z-scores for both 2.5 and 3.5:
z1 =\( (2.5 - 3.00) / 0.50 = -1.0\)
z2 = \((3.5 - 3.00) / 0.50 = 1.0\)
Now, we can use the standard normal distribution table to find the probability of the z-scores. For z1 = -1.0, the probability is 0.1587 (15.87%). For z2 = 1.0, the probability is 0.8413 (84.13%).
To find the percentage of people expected to score between 2.5 and 3.5, subtract the probability of z1 from the probability of z2:
Percentage = \((0.8413 - 0.1587) x 100 = 68.26%\)
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7) The initial fee to have a website getup using a server is $48. It costs $44 per month to maintain the
website. Write an equation that gives the total cost of setting up and maintaining the website as a
function of the number of months it is maintained.
Find the total of setting up and maintaining the website for 6 months.
Answer:
a.) c(t)=44t+48
b.) the total initial cost of setting up a website and maintaining it for 6 months is $312
Step-by-step explanation:
h
cuanto es 1/6 - 1/8 =
Answer:
1/24 ≈0.042
Step-by-step explanation:
Ms. Khan asked her math students to find an equation of a line which has a graph parallel to the line y - 2+1
and which passes through the point (4,-2).
Which equation is correct?
Step-by-step explanation:
i will assume u mean y - 2x+1
y = 2x-1
parallel lines have the same slope (m) = x coefficient = 2
line general equation = y = mx + b
y = 2x + b
from the point given (4,-2)
x=4. y = -2
-2 = 2×4 +b
-2 = 8 + b
b = -10
y = 2x -10
if it is not y-2x +1
plz tell me
A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is?.
The probability that the sample mean will be between 181 and 185 is 0.3039.
Given,
The mean of a population, μ = 180
Standard deviation, σ = 36
Number of sample observations, n = 84
We have to find the probability that the sample mean will be between 181 and 185;
Lets convert 181 and 185 into z scores;
z = (x - μ) / (σ/√n)
x = 181z = (181 - 180) / (36/√84)
z = 1/3.93
z = 0.25
x = 185z = (185 - 180) / (36/√84)
z = 5 / 3.93
z = 1.27
Lets look z score table;
The area to the left of z = 0.25 is 0.5987
The area to the left of z = 1.27 is 0.8980
The probability that the z is between 0.25 and 1.27 would be 0.8980 – 0.5887 = 0.3039.
That is,
The probability that the sample mean will be between 181 and 185 is 0.3039.
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Find the area and perimeter
Then find the values of x and y.
Answer:
y = 4
x = 104°
Step-by-step explanation:
3y = y + 8
-y -y
2y÷2 = 8÷2
2y÷2 cancels out so
8 ÷ 2 = 4
y = 4
all sides are congruent so all angles are congruent so that means that all the angles are 104°
Help Me Please I will give Brainliest!
Answer:
B=88 C=44
Step-by-step explanation:
x+48+x-44=180
2x=176
x=87
angle B= 88
angle C= 88-44=44
whats 1+1x20/2? If you get correct you get free brainliest!!!!!!!!!!
Answer:
It is 20
Step-by-step explanation:
1+1= 2*20=40
40/2=20
Answer:
I believe it is 1+10x. hope this helps!!
Does anyone know this?
Answer:
Area = 50
Step-by-step explanation:
x2 = 36
x = 6
36 + 6 + 6 + 1 + 1 =50
the small squares = 1
1. Determine the sum of the first 53 terms of the following series: 179+173+167+...
2. Determine the sum of the first 19 terms of the following series: 6−12+24−48+...
(1) This series consists of terms of an arithmetic sequence:
179 - 173 = 6
173 - 167 = 6
and so on, so that the n-th term in the series is (for n ≥ 1)
a(n) = 179 - 6 (n - 1) = 185 - 6n
Then the sum of the first 53 terms is
\(\displaystyle\sum_{n=1}^{53}(185-6n) = 185\sum_{n=1}^{53}1-6\sum_{n=1}^{53}n\)
\(\displaystyle\sum_{n=1}^{53}(185-6n) = 185\times53-6\times\frac{53\times54}2\)
\(\displaystyle\sum_{n=1}^{53}(185-6n) = \boxed{1219}\)
(2) This series has terms from a geometric sequence:
-12 / 6 = -2
24/(-12) = -2
-48/24 = -2
and so on. The n-th term is (again, for n ≥ 1)
a(n) = 6 (-2)ⁿ⁻¹
and the sum of the first 19 terms is
\(\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 6\left(1 + (-2) + (-2)^2 + (-2)^3 + \cdots+(-2)^{19}\right)\)
Multiply both sides by -2 :
\(\displaystyle-2\sum_{n=1}^{19}6(-2)^{n-1} = 6\left((-2) + (-2)^2 + (-2)^3 + (-2)^4 + \cdots+(-2)^{20}\right)\)
Subtracting this from the first sum gives
\(\displaystyle(1-(-2))\sum_{n=1}^{19}6(-2)^{n-1} = 6\left(1 -(-2)^{20}\right)\)
and solving for the sum, you get
\(\displaystyle3\sum_{n=1}^{19}6(-2)^{n-1} = 6\left(1 -(-2)^{20}\right)\)
\(\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 2\left(1 -(-2)^{20}\right)\)
\(\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 2\left(1 -(-1)^{20}2^{20}\right)\)
\(\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 2\left(1 -2^{20}\right) = 2-2^{21} = \boxed{-2,097,150}\)
Solve the system of equations 5x - 6y = 33 and 2x +y = -14 by combining the
equations.
Answer:
look at the picture i have sent
Let f(x)=mx+b where m and b are constants. If limx—>2 f(x)=1 and limx —>3 f(x)=-1 determine m and b.
Better formatting: Let f(x)=mx+b where m and b are constants. If limx—>2f(x)=1 and limx—>3f(x)=-1 determine m and b
The function is f(x) = -2x + 5, and the constants m and b are -2 and 5, respectively.
Given the function f(x) = mx + b, where m and b are constants, we know that:
limx→2 f(x) = 1
limx→3 f(x) = -1
Using the definition of a limit, we can rewrite these statements as:
For any ε > 0, there exists δ1 > 0 such that if 0 < |x - 2| < δ1, then |f(x) - 1| < ε.
For any ε > 0, there exists δ2 > 0 such that if 0 < |x - 3| < δ2, then |f(x) + 1| < ε.
We want to determine the values of m and b that satisfy these conditions. To do so, we will use the fact that if a function has a limit as x approaches a point, then the left-hand and right-hand limits must exist and be equal to each other. In other words, we need to ensure that the left-hand and right-hand limits of f(x) exist and are equal to the given limits.
Let's start by finding the left-hand limit of f(x) as x approaches 2. We have:
limx→2- f(x) = limx→2- (mx + b) = 2m + b
Next, we find the right-hand limit of f(x) as x approaches 2:
limx→2+ f(x) = limx→2+ (mx + b) = 2m + b
Since the limit as x approaches 2 exists, we know that the left-hand and right-hand limits must be equal. Thus, we have:
2m + b = 1
Similarly, we can find the left-hand and right-hand limits of f(x) as x approaches 3:
limx→3- f(x) = limx→3- (mx + b) = 3m + b
limx→3+ f(x) = limx→3+ (mx + b) = 3m + b
Since the limit as x approaches 3 exists, we know that the left-hand and right-hand limits must be equal. Thus, we have:
3m + b = -1
We now have two equations:
2m + b = 1
3m + b = -1
We can solve for m and b by subtracting the first equation from the second:
m = -2
Substituting this value of m into one of the equations above, we can solve for b:
2(-2) + b = 1
b = 5
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Which criterion, if any, could prove the triangles are congruent?
Answer:
ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.
So A
Explanation: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent
Help pleaseeeeeeeeeeee
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
An exterior angle is equal to the sum of the remote interior angles:
2x^2 +3x +6 = (8x) +(3x^2 -6x)
x^2 -x -6 = 0 . . . . . . subtract the left-side expression, put in standard form
(x -3)(x +2) = 0 . . . . .factor
The value of x is a value that makes a factor zero. These factors are zero when x=3 or x=-2. Only positive values of x will give positive angles in this geometry. The only useful solution is ...
x = 3
Question 7(Multiple Choice Worth 1 points)
(02.05 LC)
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
Two lines labeled f of x and g of x. Line f of x passes through points 0, 4 and negative 4, 0. Line g of x passes through points negative 9, 0 and negative 4, 5.
−4
−5
4
5
The value of k based on the information given will be k = 2.
How to calculate the value?It should be noted that the line of f(x) passes through the point (-4, 0) and (0, 4). The line of g(x) goes through (-2, 0) and (0, 4).
The slope of x will be:
= (4 - 0)/(0 + 4)
= 4/4
= 1
By using slope point form, y = kx + 4.
Substitute x = 2.
g(-2) = -2k + 4 = 0
2k = 4
k = 4/2 = 2
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suppose a piece of dust finds itself on a cd. if the spin rate of the cd is 500 rpm, and the piece of dust is 2.1 cm from the center, what is the total distance traveled by the dust in 4.0 minutes?
The total distance travelled by dust in the given time of 4.0 minutes at the spin rate of 500rpm is equal to 26,400cm.
Spin rate of the cd is equal to 500rpm
distance of piece of dust from the center = 2.1 cm
Distance traveled by a point on the CD that is 2.1 cm from the center in one revolution = circumference of the circle with a radius of 2.1 cm,
C = 2πr
= 2π(2.1 cm)
≈ 13.2 cm
Distance traveled by the dust in one revolution is 13.2 cm.
Calculate the number of revolutions that the CD makes in 4.0 minutes.
1 minute = 60 seconds
⇒ 4.0 minutes = 4.0 x 60
⇒4.0 minutes = 240 seconds
The CD rotates at a rate of 500 revolutions per minute,
In 4.0 minutes it will rotate,
500 x 4.0
= 2000 times.
The total distance traveled by the dust in 4.0 minutes is,
distance traveled per revolution x number of revolutions
= 13.2 cm/rev x 2000 rev
= 26,400 cm
Therefore, the total distance traveled by the dust in 4.0 minutes is 26,400 cm.
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what is the slope of (12,22) (-20,19)
Answer:
3/32
Step-by-step explanation:
The slope is found by
m = ( y2-y1)/(x2-x1)
= ( 19-22)/(-20-12)
= -3/-32
= 3/32
what are the factors of the trinomial? (x 1) and (x – 4) (x 4) and (x – 1) (x 5) and (x – 4) (x 4) and (x – 5)
The factors of the trinomial (x^2 - 3x - 4) are (x + 1) and (x - 4). The above procedure has been done to factorize a trinomial with the help of the grouping method.
A trinomial is a polynomial that consists of three terms that are either added or subtracted. To determine the factors of a trinomial, it is essential to factorize the trinomial. Factoring the trinomial will enable us to obtain its roots or zeroes.To factor a trinomial, we group it into two binomials.
Thus, the factors of the trinomial (x^2 - 3x - 4) are (x + 1) and (x - 4). The above procedure has been done to factorize a trinomial with the help of the grouping method. One of the most common procedures used in factoring trinomials is the quadratic method, which involves factoring a quadratic trinomial with a leading coefficient of 1. The quadratic formula is utilized for this purpose, and it is expressed as follows:ax²+bx+c, a≠0x = [-b ± sqrt(b²-4ac)]/2a.
As a result, factoring trinomials involves converting a polynomial into its factor form, which can then be utilized to determine its roots or zeroes. A trinomial is a three-term polynomial that contains a coefficient for x^2, a coefficient for x, and a constant. By factoring, we can transform a trinomial with three terms into the product of two binomials, allowing us to calculate its roots and factors.
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given this array: 1 2 4 5 6 7 8 12 14 21 22 42 53 how many comparisons are required to find 42 using the binary search?
A total of 3 comparisons are required to find 42 using binary search in this particular array.
In binary search, the number of comparisons required to find a target value depends on the size of the array and the position of the target value within the array.
In this case, we have an array with 13 elements. In the first comparison, we compare the target value (42) with the middle element of the array.
The first comparison: 42 is compared with the middle element 8.
Since 42 is greater than 8, we can eliminate the first half of the array and continue the search in the second half. Now we have an array with 6 elements.
The second comparison: 42 is compared with the middle element 21.
Since 42 is greater than 21, we can again eliminate the first half of the remaining array and continue the search in the second half. Now we have an array with 3 elements.
The third comparison: 42 is compared with the middle element 42.
We have found the target value in the third comparison.
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A 6-pound bag of wheat costs $4.86 at the store. How much would 1 pound cost?
Answer: $1.23
Step-by-step explanation: to find the cost of one pound we need to divide 6 pounds by how much it costs so, 6 ÷ 4.86= 1.23.
You go shopping at the store
and find that 2 rolls of paper
towels cost $1.00, 3 rolls of
paper towels cost $1.50, and 4
rolls of paper towels cost
$2.00. It is proportional or not proportional
Answer:
yes it's proportional
Step-by-step explanation:
because you add 50 to every roll
Find the value of x.
The answer is 50 . I need to show equations and show my work
Answer:50
Step-by-step explanation:
80+2x=180
subtract 80 from both sides: 2x=100
divide both sides by 2: x=50