Answer:
D.
Step-by-step explanation:
I have been doing this in Geometry.
We know perpendicular means opposite recipicoles and opposite slopes.
so.. the slope is 3 to get the y-intercept you do this.
(1, 2) Use the points it gave you and the slope 3 and put it is y=mx + b form
2 = 3(1) + b (I do this because I don't know what b is yet) (b = y-intercept)
2 = 3 + b (subtract 3 on both sides)
-1 = b
The equation is y = 3x - 1
Please help im in math right now and im about to leave to go to my next class
Answer:
rlkgj3ypihjepvwr'kg3tyhjl3jofj 'y4ujk
Step-by-step explanation:
epoijreohrj3oewmydwlmh5lu6jm;s,dky608jp
Answer: #3 is 156.86
Step-by-step explanation:
First you Multiply 136.40 by .15. It comes out to 20.46. Then add 136.40 and 20.46 together
The following data give the speeds of 13 cars, measured by radar, traveling on I-84. 73 75 70 68 78 70 74 77 72 80 65 77 71 Find the values of the three quartiles and the interquartile range.
The three quartiles is the value of Q₂ [Median] is 73 (on the 7th value), The value of Q₁ is 70 (the 3.5th value), The value of Q₃ is 77 (is the 10.5th value). and Interquartile range = Q₃ - Q₁ = 77 - 70 = 7
What is three quartiles?A quartile is a particular kind of quantile that splits the total number of data points into four roughly equal portions, or quarters. Quartiles are a type of order statistic since they require the data to be arranged from smallest to largest in order to be computed.
The median of the data set is the number in the midpoint between the smallest number (minimum) and the first quartile (Q1).
The median of a data set is known as the second quartile (Q2).
The median value and the highest value (maximum) in the data set are the two values that make up the third quartile (Q3).
To find the quartiles, first, we need to put the data in ascending order.
65, 68, 70, 70, 71, 72, 73, 74, 75, 77, 77, 78, 80
The value of Q₂ [Median] is on the 7th value, which is 73
The value of Q₁, the lower quartile, is the 3.5th value [(3rd value+4th value)/2] , which is 70
The value of Q₃, the upper quartile, is the 10.5th[(10th value+11th value)/2] value, which is 77
and
Interquartile range = Q₃ - Q₁ = 77 - 70 = 7.
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Sarah runs at a rate of 8 miles per hour what is her speed at feet per second
Answer:
i worked some of it out
Step-by-step explanation:
1 mile = 5,280ft
1 hour = 8 miles
30 min = 4 miles
15min = 2 miles
7.5 (7min and 30 sec) = 1 mile
3.75(225 sec) =1/2 mile = 2,640ft
0.25(quarter of a mile) = 1,320ft
i just completely lost myself but if this helps then great! sorry if i wasted your time
If a square's area is 110. What is the length of one side?
(20 Points)
Answer:
27.5
Step-by-step explanation:
Well for me i would divide 110 by 4 because there are 4 sides and that will be your answer
what is the gradient of the blue line Attachment below!!!!!!!!!!!
Answer:
-3 Or 3 it could be any one of them
Step-by-step explanation:
-3 or 3
Rise/run so an
If the measure of angle B=35 degrees, a=43, and c=19 then find the measure of angle A
Answer: 123.3364311 degrees approximately
Round that value however your teacher instructs.
==========================================================
Explanation:
Use the law of cosines to find side b
\(b^2 = a^2 + c^2 - 2*a*c*\cos(B)\\\\b^2 = 43^2 + 19^2 - 2*43*19*\cos(35)\\\\b^2 \approx 871.5055596\\\\b \approx \sqrt{871.5055596}\\\\b \approx 29.521273\\\\\)
Now use the law of sines to find angle A.
\(\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\\\\\frac{\sin(A)}{43} \approx \frac{\sin(35)}{29.521273}\\\\\sin(A)\approx 43*\frac{\sin(35)}{29.521273}\\\\\sin(A) \approx 0.8354581\\\\A \approx \sin^{-1}(0.8354581) \text{ or } A \approx 180-\sin^{-1}(0.8354581)\\\\A \approx 56.6635689^{\circ} \text{ or } A \approx 123.3364311^{\circ}\\\\\)
Due to the side angle side (SAS) congruence theorem, we know that only one triangle is possible (notice angle B is between sides 'a' and c). This means only one of those values for angle A is possible.
The question is: Which one?
Well if you were to use the converse of the pythagorean theorem, then you'll find that the triangle is obtuse.
For any obtuse triangle, the longest side is always opposite the obtuse angle (aka the angle over 90 degrees). The side a = 43 is the longest side of this particular triangle.
This means angle A must be obtuse and the only possibility is that angle A = 123.3364311 degrees approximately.
A disk with a radius of 0.1 m is spinning about its center with a constant angular speed of 10 rad/sec. What are the speed and magnitude of the acceleration of a bug clinging to the rim of the disk?
1) 10 m/s and 10 m/s^2
2) 1 m/s and 0 m/s^2(Disk spins at constant speed)
3) 0.1 m/s and 1 m/s^2
4) 1 m/s and 10 m/s^2
The speed of the bug clinging to the rim of the disk is 1 m/s, and the magnitude of its acceleration is 10 m/\(s^2\).
The speed of an object moving in a circular path can be calculated using the formula v = ω * r, where v is the speed, ω (omega) is the angular speed, and r is the radius of the circular path. In this case, the radius of the disk is 0.1 m, and the angular speed is 10 rad/sec. Plugging these values into the formula, we get v = 10 rad/sec * 0.1 m = 1 m/s.
The acceleration of an object moving in a circular path is given by the formula a = \(ω^2\) * r, where a is the acceleration, ω (omega) is the angular speed, and r is the radius of the circular path. Substituting the given values, we have a = \((10 rad/sec)^2\)* 0.1 m = 100 m/\(s^2\).
Therefore, the bug's speed is 1 m/s and the magnitude of its acceleration is 10 m/\(s^2\).
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WHICH ONE DOESN'T BELONG? Which number does not belong
with the other three? Explain.
where k is an arbitrary constant. for which value(s) of k does this system have a unique solution? for which value(s) of k does the system have infinitely many solutions? for which value(s) of k is the system inconsistent?
All solutions to the given problem regarding matrices have been explained and answered below.
We have been given the equations,
x + y - z = 2
x + 2y + z = 3
x + y + (k²-5) z = k
the augmented matrix for the given equations will be,
\(\left[\begin{array}{ccc|c}1&1&-1&2\\1&2&1&3\\1&1&(k^{2}-5)&k\end{array}\right]\)
After applying row operations we get the row-reduced form of the matrix, i.e.
\(\left[\begin{array}{ccc|c}1&0&0&\frac{5+k}{2+k} \\0&1&0&\frac{k}{2+k} \\0&0&1&\frac{1}{2+k}\end{array}\right]\)
For a matrix to be no solutions the rank of the matrix has to be lesser than the rank of the augmented matrix,
If we put k = -2, we get
\(\left[\begin{array}{ccc|c}1&0&-3&0\\0&1&2&0 \\0&0&0&1\end{array}\right]\)
∴ for k = -2, we get no solutions for the equations.
For a matrix to be having infinitely many solutions, the rank of the matrix has to be lesser than the no. of variables,
but for no values of k this condition is satisfied for the given equations,
∴ for no values of k, we get infinitely many solutions for the equations.
And for any other of k, the solutions will be unique.
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The circle below represents one whole
What percent is represented the shaded area
Answer:
50%
Step-by-step explanation:
Imagine a pizza, the pizza is cut into 4 slices and 2 have already been eaten. There you go! You now have the fraction 2/4. 2/4=1/2. 1/2 as a percentage is 50%.
Identify the inverse of f(x) = −1 + x^3. Determine whether it is a function and state its domain and range
Answer:
y=\(\sqrt[3]{x-1}\)
Step-by-step explanation:
y=x^3-1
Switch y and x
x=y^3-1
Solve for y
x-1=y^3
y=\(\sqrt[3]{x-1}\)
Multiply.
2x^4 (3x³ − x² + 4x)
Answer: A
Step-by-step explanation:
When multiplying: Numbers multiply with numbers and for the x's, add the exponents
If there is no exponent, you can assume an imaginary 1 is the exponent
2x⁴ (3x³ − x² + 4x)
= 6x⁷ -2x⁶ + 8x⁵
Answer:
A. \(6x^{7} - 2x^{6} + 8x^{5}\)
Step-by-StepLabel the parts of the expression:
Outside the parentheses = \(2x^{4}\)
Inside parentheses = \(3x^{3} -x^{2} + 4x\)
You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses
\(2x^{4}\) × \(3x^{3}\)
\(2x^{4}\) × \(-x^{2}\)
\(2x^{4}\) × \(4x\)
First, multiply the whole numbers of each value before the variables
2 x 3 = 6
2 x -1 = -2
2 x 4 = 8
Now you have:
6\(x^{4}x^{3}\)
-2\(x^{4}x^{2}\)
8\(x^{4} x\)
When you multiply exponents together, you multiply the bases as normal and add the exponents together
\(6x^{4+3}\) = \(6x^{7}\)
\(-2x^{4+2}\) = \(-2x^{6}\)
\(8x^{4+1}\) = \(8x^{5}\)
Put the numbers given above into an expression:
\(6x^{7} -2x^{6} +8x^{5}\)
Key Wordsdistribution
variable
like exponents
Find the value of x that makes A || B.
Answer:
X = 15
Step-by-step explanation:
Since these lines are parallel, this means that Angle 2 is equal to angles 5 and 3.
Since it is equal to 3, this means angle 2 + angle 4 = 180
2x+10+4x+80=180
6x+90=180
6x=90
x=15
You have 8 donuts to share evenly between you and your four brothers.
Which fraction describes how many donuts each of you will receive?
if 2, 4, 6, and 9 are the digits of two 2-digit integers, what is the least possible positive difference between the integers?
The least possible positive difference between the integers is 13.
First we have to know what an integer, which is a single whole number without fractions or decimal numbers e.g. 1,2,3,4,5,6,7,8,9
So now we are to find the least possible positive difference between two digit integers with combination of 2,4,6,9
So first, since it has to be the lowest difference, we have to look between these numbers for the lowest difference between the given integers, 6-4 = 2, 4-2 = 2, now the rest of the combination will give numbers higher that 2, e.g. 9-6 = 3, 6-2 = 4, 9-4 = 5, 9-2 = 7, so we can say our two digit integers can start with either 4 and 2, or 6 and 4, which is the tens in the two digit integers, so to get the least difference in this values, the units number of the bigger two digit integer will be smaller than the units number of the smaller two digit integers
So let's take the number 2, and 4
The bigger two digit integer will obviously start will 4, and since it's supposed to have the smaller units number, the two digit integer will be 46, and the second two digit integer will be 29, the finding the difference
We have 46-29=17
The taking the other combination of integer to give the smallest value, which was 2, (6 and 4) then giving the units number of the bigger integer which will be the smaller units number value (2), that two digit integer will be 62, and the other 49, finding the difference
62-49= 13
So therefore the least possible positive difference = 13
Hence we get the required answer.
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Bella's back garden deck cost ₹5,391.47 per square metre to build. The deck is 11 metres wide and 12 metres long. How much did it cost to build the deck ...? brainliest as well as thanks also pleaase
Answer:
₹711,674.04
Step-by-step explanation:
1.firstly we need to solve for the total area of Bella's back garden deck.
2. Then we need to estimate mate the total cost of the garden given that a square metre cost ₹5,391.47 to build.
Given
length of garden = 12 metres
width of garden = 11 metres
Hence the area of the garden is given as
\(Area= length* width\)
\(Area = 12*11= 132m^2\)
if a square metre cost ₹5,391.47 to build.
132 square metre will cost= ₹5,391.47*132= ₹711,674.04
En un colegio la cantidad de cuadernos y libros estan en la razon 2 es a 3. Si en total hay 126 cuadernos cuantos libros hay
Answer:
The number of books are 189.
Step-by-step explanation:
ratio of note books to the books = 2 : 3
total notebooks = 126
Let the number of books is x.
So, the ratio is
\(\frac{2}{3} = \frac{126}{x}\\\\x = 189\)
So, the number of books are 189.
By how much could the smallest sample observation, currently 8.5, be increased without affecting the value of the sample median? (enter your answer to one decimal place.)
The smallest sample observation can be increased by any value up to 0.1 without affecting the value of the sample median.
To find the maximum amount by which the smallest sample observation can be increased without affecting the sample median, we need to consider the definition of the median.
The median is the middle value in a sorted dataset. If the dataset has an odd number of observations, the median is the middle value. If the dataset has an even number of observations, the median is the average of the two middle values.
Since the current smallest sample observation is 8.5, increasing it by any value up to 0.1 would still keep it smaller than any other value in the dataset. This means the position of the smallest observation would not change in the sorted dataset, and therefore, it would not affect the value of the sample median.
The smallest sample observation can be increased by any value up to 0.1 without affecting the value of the sample median.
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Which of the following statements is true for a function with equation f(x) = 5(3)x?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
What is the function?A function in mathematics is a connection between a set of inputs (sometimes referred to as the domain) and a set of outputs (also referred to as the range). Each input value is given a different output value.
The y-intercept lies at (0, 5) because the value of the function at x=0 is 530 = 5. The 'constant ratio' is 3, meaning that any increment of 1 in x causes the function value to grow by a factor of 3. (That serves as the exponential term's foundation.)
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Missing parts;
Which of the following statements is true for a function with equation f(x) = 5(3)*?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.
The graph has y-intercept (0, 3) and increases with a constant ratio of 5.
The graph has y-intercept (0,5) and decreases with a constant ratio of 3.
Please look at the picture below to answer.
Answer:
x=67
Step-by-step explanation:
subtract 90 because those are right angles from 23 and you get 67
A box contains 10 balls, of which 3 are red, 2 are yellow, and 5 are blue. Five balls are randomly selected with replacement.
Find the probability that from 5 balls are selected, 2 are red balls, 1 is yellow ball and 2 are blue balls.
Find the probability that the 3rd ball selected is the yellow ball
Find the probability that the 1st ball selected is the blue ball.
1) The probability of selecting 2 red balls, 1 yellow ball, and 2 blue balls from the box is 0.180.
2) The probability that the 3rd ball selected is the yellow ball is 0.1667.
3) The probability that the 1st ball selected is the blue ball is 0.5.
1) To find the probability of selecting 2 red balls, 1 yellow ball, and 2 blue balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.
The total number of possible outcomes is given by the combination formula, which is (n + r - 1)C(r), where n is the total number of balls (10 in this case) and r is the number of balls selected (5 in this case).
So, the total number of possible outcomes is (10 + 5 - 1)C(5) = 14C5 = 2002.
The number of favorable outcomes is the product of selecting 2 red balls out of 3, 1 yellow ball out of 2, and 2 blue balls out of 5. This can be calculated as (3C2) * (2C1) * (5C2) = 3 * 2 * 10 = 60.
Therefore, the probability is the ratio of favorable outcomes to the total number of possible outcomes: P = 60/2002 ≈ 0.180.
2) To find the probability that the 3rd ball selected is the yellow ball, we need to consider the total number of possible outcomes and the number of favorable outcomes.
The total number of possible outcomes is the same as in the previous case, which is 2002.
The number of favorable outcomes is the product of selecting 2 red balls out of 3, selecting the yellow ball as the 3rd ball, and selecting 2 blue balls out of 5. This can be calculated as (3C2) * 1 * (5C2) = 3 * 1 * 10 = 30.
Therefore, the probability is the ratio of favorable outcomes to the total number of possible outcomes: P = 30/2002 ≈ 0.1667.
3) To find the probability that the 1st ball selected is the blue ball, we only need to consider the total number of possible outcomes since the first ball selection does not depend on the colors of the other balls.
The total number of possible outcomes is the same as in the previous cases, which is 2002.
The number of favorable outcomes is the number of ways to select 1 blue ball out of 5, which is given by 5C1 = 5.
Therefore, the probability is the ratio of favorable outcomes to the total number of possible outcomes: P = 5/2002 = 0.5.
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Hank has just purchased a small rectangular fish tank that holds 620.1 milliliters of water. The tank has a width of 5.3 cm and a height of 9 cm.
What is the length of the fish tank?
(1 milliliter is equal to 1 cubic centimeter)
A. 13 cm
B. 10 cm
C. 15 cm
D. 14 cm
Answer:
A. 13 cm po siguro
Step-by-step explanation:
sorry nalang po kong mali sagot ko
Find each product or quotient.
-3 . 7
The total of the two numbers, which are -21, is written as -3 plus 7.
Multiplication is the process of combining the values of two or more integers in order to get a new number. This may be done with any number of numbers. Because -21 is obtained by multiplying -3 by 7, the answer to the calculation of -3 plus 7 is expressed as -21.
The following are the steps that need to be done in order to acquire the result that is obtained by multiplying minus three with seven:
Arrange the digits of the numbers such that they are parallel to one another after you have put them in order.Multiply the integers that represent one by themselves to get started. -3 x 7 = -21.Take the number 7 and shift the one that is in the tens position to the ones position.Multiply the number 7 by itself to obtain the tens digit for the negative three. -3 x 7 = -21.The contents of the two containers should be combined. -21 + -21 = -42.As a consequence of this, the answer that you get when you multiply -3 by 7 is -21.Learn more about integers here:
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You have 3 1/4 of frozen strawberries and 4 1/2 cups of frozen blueberries. One smoothie requires 1/2 cup of frozen berries. How many smoothies can you make.
let's convert all mixed fractions to improper fractions, let's add all berries and then see how many times 1/2 go into that sum or namely division.
\(\stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}} ~\hfill \stackrel{mixed}{4\frac{1}{2}} \implies \cfrac{4\cdot 2+1}{2} \implies \stackrel{improper}{\cfrac{9}{2}} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{ strawberries }{\cfrac{13}{4}}~~ + ~~\stackrel{ blueberries }{\cfrac{9}{2}}\implies \cfrac{(1)13~~ + ~~(2)9}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{13+18}{4}\implies \cfrac{31}{4} \\\\\\ \stackrel{\textit{now let's divide that sum by }\frac{1}{2}}{\cfrac{31}{4}\div \cfrac{1}{2}}\implies \cfrac{31}{4}\cdot \cfrac{2}{1}\implies \cfrac{31}{2}\implies {\Large \begin{array}{llll} 15\frac{1}{2} \end{array}}\)
Point (w, z) is transformed by the rule (w 5, z) . what type of transformation occurred?
Scaling transformation onto the x co ordinate by a factor of 5.
What is a co-ordinate system ?A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)
According the given question Point (w, z) is transformed by the rule (w5, z).
Here w represents x co-ordinate points and z represents y co-ordinate points.
We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.
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Which equation has the solution x = 5?
Select each correct answer.
x/5+5=6
18−2x=9
3x + 1 = 9
32−4x=12
25/x+4=9
11 + 6x = 22
Determine the simple interest on an account paying 5.5% annually interest of an investment of $20,650. a. $1115.65 c. $1135.75 b. $1125.55 d. $1145.45
if x1 and x2 are independent exponential random variables each having parameter lambda, find the joint density function
λ²e^(-λn) × 1 / y² is the joint probability density function of x1 and x2.
If x1 and x2 are two independent random variables,
The joint probability density function is equal to the product of the marginal distribution functions of two random variables if they are independent.
The joint probability density function of x1 and x2 is,
\(f(x1,x2) =\) λ² e^(-λ(x1 + x2))
consider
\(y1 = x1 + x2 ; \\y2 = e^{x1}\)
The joint probability density function of y1 and y2 is,
\(f(y1,y2) = f(x1,x2) . |J(x1,x2) |^{-1}\)
The Jacobean transformation on solving determinant is J(x1,x2)
\(J(x1,x2) =\) 1(0) - 1(eˣ¹)
= - (eˣ¹)
Now substituting values of y1 and y2
f(y1, y2) = λ² e^(-λ(x1 + x2)) . (\({\frac{1}{e^{x1} } }\))
since
\(y1 = x1 + x2 ; \\y2 = e^{x1}\)
= λ²e^(-λn) × 1 / y²
Hence λ²e^(-λn) × 1 / y² is the joint probability density function of y1 and y2.
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23. How many different outfits can be put together using 3 different pairs of pants, 2 shirts and 2 pairs of shoes
There are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.
There are 12 different outfits that can be put together using 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.
How to solve the problem:
To find out the number of different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes, we will simply multiply the number of options for each category together.
Number of options for pants = 3
Number of options for shirts = 2
Number of options for shoes = 2
Number of different outfits that can be put together
= 3 × 2 × 2
= 12
Therefore, there are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.
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what would be an example of a plane
Answer:
A plane extends infinitely in two dimensions. It has no thickness. An example of a plane is a coordinate plane. A plane is named by three points in the plane that are not on the same line.
Step-by-step explanation:
\(\bf Step-by-step~explanation:\)
Remember: In math, a plane is a flat, two-dimensional surface that stretches infinitely far in all directions.
An example of a plane would be the photo below.
The purple rectangle is one plane, and the brown one is another one. If there are points there, then they would be on both planes if the points lie exactly on the intersection between the two planes.
We label planes when they have a letter (K, M, etc.), or if there are three non - collinear points on one plane, we take those letters and make them into the plane's name. (ex: Plane AGE, QDE, etc.)