Answer:
To find the slope, use the slope formula. The slope formula is Y2-Y1/X2-X1. Plug in any two points into the equation and solve. I will use (6,4) and (9,6).
6-4/9-6
2/3
The slope of the proportional relationship is 2/3.
Hope this helps! :)
Rounded to the nearest whole number, approximately how many inches is 24.1 kilometers?
A. 61,214 inches
B. 94,843 inches
OOOO
C. 612,140 inches
D.
948,432 inches
Sean can walk 2 1/4 miles in 2/3 hour.
At this rate, how far can he walk in 1 hour?
Answer:
3.375 or 3 3/8
Step-by-step explanation:
divide 2 1/4 to get 1 1/8 or 1.125 then multiply by 3 to get 3.375 or 3 3/8
What point is given in the following equation written in point-slope form?
3
y + 5 =
(2-3)
Answer:
Y= -2
Step-by-step explanation:
3y+5=(2-3)
3y+5=-1
3y=-5-1
y= -6÷3
y= -2
Help me please!!!!!!!!!!!!!!!!!!
Answer:
16/81
Step-by-step explanation:
(2/3)^4 = (2/3)*(2/3)*(2/3)*(2/3)
= 16/81
help please 50 points!! Solve the equations and see if its true
-1/4 + 3/4a= -7/4a-1
\(\\ \rm\rightarrowtail -1/4+3/4a=-7/4a-1\)
\(\\ \rm\rightarrowtail (3/4+7/4)a=-1+1/4\)
\(\\ \rm\rightarrowtail 10/4a=-3/4\)
\(\\ \rm\rightarrowtail 10a=-3\)
\(\\ \rm\rightarrowtail a=-0.3\)
If 5 people arrive at the coffee shop each minute (during rush hour) and they each have to wait 3 minutes to be served; how long is the line on average at the coffee shop during rush hour?
The line at the coffee shop during rush hour is 15 people long.
Given:
- 5 people arrive at the coffee shop each minute.
- Each person has to wait for 3 minutes to be served.
Since 5 people arrive each minute, the rate of people entering the line is 5 people/minute.
Now, Each person has to wait for 3 minutes to be served.
So, Average length of line = Rate of people entering * Time for a person to be served
Average length of line = 5 people/minute * 3 minutes
Average length of line = 15 people
Therefore, on average, the line at the coffee shop during rush hour is 15 people long.
Learn more about Unitary Method here:
https://brainly.com/question/28276953
#SPJ4
Show that B: R2 X R2 + R be given by B((11,22), (91, y2)) = (x1 72) ( ) (7) = axıyı + b&192 + bx2y1 + c22y2 is negative definite iff a < 0 and ac – 62 > 0.
To show that the function \(B: \mathbb{R}^2 \times \mathbb{R}^2 \to \mathbb{R}\), given by \(B((x_1, y_1), (x_2, y_2)) = ax_1y_1 + bx_2y_1 + cx_1y_2 + dy_2\), is negative definite, we need to prove that it satisfies two conditions:
For any non-zero vector\(v = (x, y) \in \mathbb{R}^2, B(v, v) < 0\).
The determinant of the matrix formed by the coefficients of B is positive: \(ac - b^2 > 0\).
Let's start with the first condition:
For \(v = (x, y) \in \mathbb{R}^2, B(v, v) = ax^2 + bxy + cxy + dy^2 = (a + c)x^2 + (b + d)xy + dy^2\).
Since we want B(v, v) to be negative for any non-zero vector v, the coefficient of \(x^2 (a + c)\) should be negative, and the determinant of the quadratic term \((b + d)^2 - 4ad\) should be negative as well.
Therefore, we have the following conditions:
\(a + c < 0 (1)\\\\(b + d)^2 - 4ad < 0 (2)\)
Now, let's move to the second condition:
We are given that B is negative definite, so we can assume that a, c, d ≠ 0 to avoid any degenerate cases.
To determine the sign of \(ac - b^2\), we can consider the determinant of the matrix formed by the coefficients:
\(\begin{bmatrix}a & b \\c & d \\\end{bmatrix}\)
The determinant is ad - bc, and for B to be negative definite, we want this determinant to be positive:
ad - bc > 0 (3)
Now, let's combine the conditions (1), (2), and (3):
From condition (1), we have a + c < 0, which implies c < -a.
From condition (2), we have\((b + d)^2 - 4ad < 0\), which implies \((b + d)^2 < 4ad\).
Now, let's multiply (1) by d and (2) by -c:
\(-d(a + c) > 0 (4)\\\\(c^2 - 4ac)d > 0 (5)\)
Adding (4) and (5), we get:
\(c^2 - 4ac - d(a + c) > 0\)
Rearranging terms, we have:
\(c^2 - 4ac - d(a + c) + 2ac - 2ac > 0\\\\c^2 - 2ac - d(a + c) + 2ac > 0\\\\(c^2 - 2ac) - (d(a + c) - 2ac) > 0\\\\c^2 - 2ac - (d - 2a)(a + c) > 0\)
Now, since c < -a, we have c + a < 0, which implies a + c < 0. Therefore, (a + c) is negative.
So, we can rewrite the inequality as:
\(c^2 - 2ac + (2a - d)(a + c) > 0\)
Since (2a - d) is negative, (a + c) is negative, and a < 0, we can conclude that:
\(ac - b^2 > 0.\)
Therefore, we have shown that B is negative definite if a < 0 and \(ac - b^2 > 0\).
Please note that in the given expression, there is a slight difference in the notation used (axıyı instead of \(ax_1y_1\)), but the approach and conclusion remain the same.
To know more about Expression visit-
brainly.com/question/14083225
#SPJ11
there is a 40% chance of getting stuck in traffic when leaving the city. on two separate days, what is the probability that you get stuck in traffic both days? a. 0.16 b. 0.40 c. 0.20 d. 0.80
Answer:
A
Step-by-step explanation:
40% = 40/100 = 4/10 = 2/5
2/5 * 2/5 = 4/25 = 0.16
Please help answer and explain am begging you
Answer:
1.) positive
2.) negative
3.) zero
4.) undefined
5.) zero
6.) positive
7.) positive
8.) undefined
9.) negative
A 2-column table with 7 rows. Column 1 is labeled sample with entries 1, 2, 3, 4, 5, 6, 7. Column 2 is labeled Sample Mean with entries 154, 121, 160, 135, 140, 134, 129. Looking at this table of sample means, which value is the best estimate of the mean of the population?
Answer:
(B)136
Step-by-step explanation:
Edg 2020 your welcome luv <3
Answer:
(B)136
Step-by-step explanation:
what do you call a polygon with nine sides?
a.quadrilateral
b.pentagon
c.hexagon
d.nonagon
Answer: nonagon
Step-by-step explanation: quadrilaterals: a shape that has four sides
hexagon: a shape with 6 sides
pentagon: a shape with 5 sides
nonagon: a shape with 9 sides
So the answer is D
help me helpppp meeee
Answer:
Step-by-step explanation:
Equation: w - 6*12 = 2/3 * w
w - 72 = 2/3*w Subtract w from both sides
- 72 = 2/3 w - w
-72 = - 1/3 w
216 = w
expand quadratic equation (2x-3)(x+4) = 0
Answer:
Step-by-step explanation:
Simplifying
(2x + -3)(x + -4) = 0
Reorder the terms:
(-3 + 2x)(x + -4) = 0
Reorder the terms:
(-3 + 2x)(-4 + x) = 0
Multiply (-3 + 2x) * (-4 + x)
(-3(-4 + x) + 2x * (-4 + x)) = 0
((-4 * -3 + x * -3) + 2x * (-4 + x)) = 0
((12 + -3x) + 2x * (-4 + x)) = 0
(12 + -3x + (-4 * 2x + x * 2x)) = 0
(12 + -3x + (-8x + 2x2)) = 0
Combine like terms: -3x + -8x = -11x
(12 + -11x + 2x2) = 0
Solving
12 + -11x + 2x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(3 + -2x)(4 + -1x) = 0
Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:
Simplifying
3 + -2x = 0
Solving
3 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3
Combine like terms: 0 + -3 = -3
-2x = -3
Divide each side by '-2'.
x = 1.5
Simplifying
x = 1.5
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:
Simplifying
4 + -1x = 0
Solving
4 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4
Combine like terms: 0 + -4 = -4
-1x = -4
Divide each side by '-1'.
x = 4
Simplifying
x = 4
Solution
x = {1.5, 4}
Answer:
\(2x^2+5x-12=0\)
Step-by-step explanation:
Algebra
To expand the given equation
\((2x-3)(x+4)=0\)
we'll use the distributive property by multiplying each term of the first binomial by each term of the second binomial as follows:
\(2x^2+8x-3x-12=0\)
Rearranging and simplifying:
\(\mathbf{2x^2+5x-12=0}\)
1. Trini needs more than 51
cubic feet of soil to top up
his raised garden. Each bag
of soil contains 1.5 cubic
feet. Write and solve an
inequality to find how many
bags of soil Trini needs.
Answer:
Step-by-step explanation:
51 feet / 1.5 = 34 bags needed minimum
But trini needs more than 51 bags so:
X>34 is the answer
0.039 in scientific notation
Answer:
3.9 * 10^-2
Step-by-step explanation:
We need a number between 0 and 10, so we need to multiply.
0.039 * 10 = 0.39
0.39 * 10 = 3.9
Since 0.039 is less than 0, we are going to have a negative exponent.
3.9 * 10^-2
Best of Luck!
Can yell help me pweaseeeee I need help with 7
Answer:
False
Step-by-step explanation:
Lines that intersect at right angles are called parallel. False
They are called intersecting lines.
Answer:
False
Step-by-step explanation:
This is false, lines that are always the same distance apart and never intersect are paralle. Line that intersect at a right angle are called perpendicular. See the image.
Write as a product
1-25x^2+10xy-y^2
Please help with explanation
Will award brainliest.
Answer:
(-5x +y +1)(5x -y +1)
Step-by-step explanation:
You want the factored form of 1-25x²+10xy-y².
Perfect square trinomialWe recognize the last three terms as those of a perfect square trinomial:
25x² -10xy +y² = (5x -y)²
Difference of squaresUsing this form for the last three terms, we see the given expression is the difference of squares. It can be factored as such.
1 -(5x -y)² = (1 -(5x -y)(1 +5x -y)
= (-5x +y +1)(5x -y +1)
__
Additional comment
The forms we used here are ...
(a -b)² = a² -2ab +b²
a² -b² = (a -b)(a +b)
<95141404393>
what have you observed on the two table?
Answer:
i. x and a are increasing while y and b are reducing
the sizes in degrees of the interior angles of a pentagon are consecutive even numbers what is the largest of these angles
The largest angle in the pentagon with consecutive even interior angle sizes is 112 degrees.
Let's assume the smallest interior angle of the pentagon is x degrees. Since the angles are consecutive even numbers, the other four angles can be expressed as x + 2, x + 4, x + 6, and x + 8 degrees.
The sum of the interior angles of a pentagon can be calculated using the formula: (n - 2) * 180 degrees, where n is the number of sides of the polygon. For a pentagon, the sum of the interior angles is (5 - 2) * 180 = 3 * 180 = 540 degrees.
Now, let's add up the five angles of the pentagon:
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 540
Simplifying the equation:
5x + 20 = 540
5x = 540 - 20
5x = 520
x = 520 / 5
x = 104
So, the smallest interior angle, x, is 104 degrees. The largest interior angle is x + 8 = 104 + 8 = 112 degrees.
for more questions on pentagon
https://brainly.com/question/11759904
#SPJ8
The sum of any rational number and any irrational number will always be an irrational number. (True or False)
The statement that the sum of any rational number and any irrational number will always be an irrational number is true.
The sum of any rational number and any irrational number will always be an irrational number. To prove this, let's consider a rational number, represented as a/b, where a and b are integers and b is not equal to 0. Additionally, let's consider an irrational number, represented as √2. When we add the rational number a/b and the irrational number √2, the result will be a + (√2)b, which is a combination of a rational number and an irrational number.
Since irrational numbers cannot be expressed as a ratio of two integers, the sum a + (√2)b cannot be simplified to a rational number. Thus, it is an irrational number. Therefore, the statement that the sum of any rational number and any irrational number will always be an irrational number is true.
To learn more about rational number click here: brainly.com/question/19161857
#SPJ11
Alex drove for 3 hours at an average speed of 60 miles per hour and for 2 hours at 45 miles per hour. What is his average speed for the whole journey?
Average speed for the whole journey = 53.67 miles per hour.
What is Speed?
A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in an object's position per unit of time.
The Average speed:-
"The average speed of any object is the total distance traveled by that object divided by the total time elapsed to cover the said distance".
= total distance/total time
According to the Question
We have;
-------> ALEX drove for 3 hours at a rate of 60 miles per hour.
-------> and ALEX drove for 2 hours at a rate of 45 miles per hour.
We know that;
speed = distance/ time
Now we can write it as;
distance = speed *time
Consider the first statement of the Question;
-------> John drove for 3 hours at a rate of 60 miles per hour.
Here, speed = 60 miles per hour.
Time = 3 hours.
Putting in the above then we get;
distance = 60*3
distance =180
Consider the second statement of the Question;
-------> John drove for 2 hours at a rate of 45 miles per hour.
Here, speed = 45 miles per hour.
Time = 2 hours.
Putting in the above then we get;
distance = 45*2
distance =90
-----> Now find the Average speed of John.
We have;
The distance in the first part;
miles. at time 3 hours.
The distance in the second part;
miles. at time 2 hours.
We have;
The average speed = 53.67 miles per hour
To learn more about Average visit:
brainly.com/question/2906096
#SPJ4
Please HELP ASAP!!!!!!!
Answer:
Step-by-step explanation:
58
The Tire Rack, America’s leading online distributor of tires and wheels, conducts extensive testing to provide customers with products that are right for their vehicle, driving style, and driving conditions. In addition, the Tire Rack maintains an independent consumer survey to help drivers help each other by sharing their long-term tire experiences. The following data show survey ratings (1 to 10 scale with 10 the highest rating) for 18 maximum performance summer tires (Tire Rack website, February 3, 2009). The variable Steering rates the tire’s steering responsiveness, Tread Wear rates quickness of wear based on the driver’s expectations, and Buy Again rates the driver’s overall tire satisfaction and desire to purchase the same tire again. (Data is in TireRack file)
1. Develop an estimated regression equation that can be used to predict the Buy Again rating given based on the Steering rating. At the .05 level of significance, test for a significant relationship. Interpret the coefficients (Say what they mean in terms of change in you corresponding to a change in x)
2. Did the estimated regression equation developed in part (a) provide a good fit to the data? Explain.
3. Develop an estimated regression equation that can be used to predict the Buy Again rating given the Steering rating and the Tread Wear rating.
4. Is the addition of the Tread Wear independent variable significant? Use 0.05 level of significance.
1 Tire Steering read WeaBuy Again 2 Goodyear 8.9 8.5 8.1 3 Michelin F89 9 8.3 4 Michelin H 8.3 8.8 8.2 5 Dunlop SI 8.2 8.5 7.9 6 Goodyear 7.9 7.7 7.1 7 Yokoham 84 8.2 8.9 8 Yokoham 7.9 7 7.1 9 Kumho P 7.9 7.9 8.3 10 Goodyear 7.6 5.8 4.5 11 Hankook 7.8 6.8 6.2 12 Michelin E 7.4 4.8 13 IMichelin N7 14 Michelin S 6.9 15 Kumho 776.6 16 Dunlop SI 6.2 4.2 17 Bridgestof 5.7 5.5 18 Goodyear 5.7 5.4 19 Dunlop SI57 5 5 34 3.6 2.9 3.3
Tire Steering Tread Wear Buy Again
Goodyear Assurance TripleTred 8.9 8.5 8.1
Michelin HydroEdge8.9 9 8.3
Michelin Harmony 8.3 8.8 8.2
Dunlop SP 60 8.2 8.5 7.9
Goodyear Assurance ComforTred 7.9 7.7 7.1
Yokohama Y372 8.4 8.2 8.9
Yokohama Aegis LS4 7.9 7 7.1
Kumho Power Star 758 7.9 7.9 8.3
Goodyear Assurance 7.6 5.8 4.5
Hankook H406 7.8 6.8 6.2
Michelin Energy LX4 7.4 5.7 4.8
Michelin MX4 7 6.5 5.3
Michelin Symmetry 6.9 5.7 4.2
Kumho 722 7.2 6.6 5
Dunlop SP 40 A/S 6.2 4.2 3.4
Bridgestone Insignia SE200 5.7 5.5 3.6
Goodyear Integrity 5.7 5.4 2.9
Dunlop SP20 FE 5.7 5 3.3
Show transcribed image text
The survey ratings provide valuable feedback for drivers who are looking for quality tires for their vehicles. These ratings can give insight on steering responsiveness, how quickly a tire wears, and overall customer satisfaction. Drivers can also see how their tire of choice stacks up against other tires, making it easier to make an informed decision when shopping for tires.
The Tire Rack is America’s leading online distributor of tires and wheels. They conduct extensive testing to ensure that customers are provided with the most suitable tires for their vehicles, driving styles, and driving conditions. They also use an independent consumer survey to help drivers gain insight on long-term tire experiences.
The following data show survey ratings on a 1-10 scale, with 10 being the highest rating, of 18 maximum performance summer tires, as of February 3, 2009 (Tire Rack website). The variables are Steering (steering responsiveness), Tread Wear (quickness of wear), and Buy Again (overall tire satisfaction and desire to purchase the same tire again). The Yokohama Aegis LS4 has a Steering rating of 7.9, Tread Wear rating of 7, and Buy Again rating of 7.1. The Dunlop SP20 FE has a Steering rating of 5.7, Tread Wear rating of 5, and Buy Again rating of 3.3.
for such more questions on tire satisfaction
https://brainly.com/question/28705993
#SPJ11
an elementary school teacher measures the heights of the students in her classroom. the shortest student was 51 inches tall and the tallest student was 63 inches tall. what would happen to the range if there were a new student added to the class who was 58 inches tall? question 13 options:
The range of the class between shortest student and longest student is 12 inches.
Range is the difference between highest and lowest possible values.
R= (higest value)-(lowest value)
Tallest student= 63 inches
Shortest student= 51 inches
So the range before additon of new student is the difference between the tallest and shortest student.
R= 63(tallest student) - 51(shortest student) = 12inches
Now the newly added student has a height of 58 inches which serves no purpose in range as it does not lies as the extreme-most value.
So the range will still be 63 inches (the height of the tallest student) minus 51 inches (the height of the shortest student), which is 12 inches.
Learn more about finding range : https://brainly.com/question/26242034
#SPJ11
Help!!! I need help I don't know how to do it
x + y = -5 is it a solution
Answer: The equation X + y = -5 represents a straight line in a two-dimensional plane. To determine whether a specific point (X, y) is a solution of the equation, you can substitute the values of X and y into the equation and see if it holds true. If the equation is satisfied, then the point (X, y) is a solution. If the equation is not satisfied, then the point (X, y) is not a solution.
For example, if X = 2 and y = -7, then the equation becomes:
2 + (-7) = -5
-5 = -5
Since the equation holds true, the point (2, -7) is a solution of the equation X + y = -5.
Step-by-step explanation:
Richard can make 8 dough balls in two hours. If the amount of time is directly proportional to the number of dough balls, how many hours have passed if he made 18 dough balls?
Answer:
4.5 hours
Step-by-step explanation:
8:2h = 18:x
8x = 18×2h
x = 36h/8
x = 4.5
hope this helps :)
Show that x(x - 1)(x + 1) = x³ - x
x (x - 1) (x + 1) = \(x^{3}\)- x
Distribute
1. (x + 1) \(x^{2}\) - x (x + 1) = \(x^{3}\) - x
2. Distribute
(x + 1) \(x^{2}\) - x (x + 1) = \(x^{3}\) - x
\(x^{3 }\) + 1 \(x^{2}\) - x (x + 1) = \(x^{3 }\) - x
3. Multiply by 1
\(x^{3 }\) + 1 \(x^{2}\) - x (x + 1) = \(x^{3 }\) - x
\(x^{3 }\) + \(x^{2}\) - x (x + 1) = \(x^{3 }\) - x
4. Distribute
\(x^{3 }\) + \(x^{2}\) - x (x + 1) = \(x^{3 }\) - x
\(x^{3 }\) + \(x^{2}\) - (\(x^{2}\) + x) = \(x^{3 }\) - x
5. Distribute
\(x^{3 }\) + \(x^{2}\) - (\(x^{2}\) + x) = \(x^{3 }\) - x
\(x^{3 }\) + \(x^{2}\) - \(x^{2}\) - x = \(x^{3 }\) - x
6. Combine like terms
\(x^{3 }\) + \(x^{2}\) - \(x^{2}\) - x = \(x^{3 }\)- x
\(x^{3 }\) - x = \(x^{3 }\) - x
7. Move terms to the left side
\(x^{3 }\) - x = \(x^{3 }\) - x
\(x^{3 }\) - x - (\(x^{3 }\) - x) = 0
8. Distribute
\(x^{3 }\) - x - (\(x^{3 }\) - x) = 0
\(x^{3 }\) - x - \(x^{3 }\) + x = 0
9. Combine like terms
\(x^{3 }\) - x - \(x^{3 }\) + x = 0
- x + x = 0
10. Combine like terms
- x + x = 0
0 = 0
To know more about like terms
https://brainly.com/question/3750096
Good amount of points
Good answer = Brainliest
Abdsurd answer = report
Javier wants to prove that triangle MNP is similar to triangle RSP.
What missing piece of information does Javier need to prove that triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate?
A. Javier needs to know the measure of angle P.
B. Javier needs to know the measure of angle M.
C. Javier needs to know the measure of angle S.
D. Javier needs to know that segment MN is parallel to segment SR.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
In triangles MNP and RSP, if there are two pairs of corresponding angles that are congruent or equal, it means that triangle MNP is similar to triangle RSP. The corresponding angles in both triangles are....
P corresponding to P
M corresponding to R
N corresponding to S
Therefore, the missing piece of information that Javier needs to prove that triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate is....
A. Javier needs to know the measure of angle P.
Identify the expression that has the largest value when
a < -1
1/2a
a
a^2
a^3