Answer:
4
Step-by-step explanation:
1) Since we know what points the line passes through, (0,1) and (1,3) we can put it into the formula to calculate the slope. The formula is y1-y2/x1-x2.
2) Input the numbers. 1-3/0-1
3) Calculate the expression, 1-3/0-1=-2/-1=2. The answer is 4
A solution is prepared by dissolving 24 mm of Saline In 150 mm of pure solution what is the percent of Saline in a pure solution
Answer:
\(\sf\longmapsto \: 13.79%\)
Step-by-step explanation:
A solution is made by dissolving 24 millimeters of saline in 150 millimeters of pure solution.
Therefore, percent of saline in the pure solution can be calculated as follows:
\(\sf\longmapsto \frac{24}{24} +150 × 100\)
\(\sf\longmapsto \frac{24}{174} \times 100\)
\(\sf\longmapsto \: 0.1379 \times 100\)
\(\sf\longmapsto13.79%\)
Hence the percent of saline in the pure solution is 13.79%.Answer:
13.79%Step-by-step explanation:
The volume of the solution:
24 ml + 150 ml = 174 mlPercent of saline in the solution:
24/174*100% = 13.79%the perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the short side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
Step-by-step explanation:
If longest is x then shortest is x/2 and other side is 14.5-1.5x
6.2÷2=3.1 which is shortest side. 3.1+6.2=9.3, 14.5-9.3 is 5.2
What is 9736 multiplied by 704
Answer:
9736 times 704 is 6854144
Answer:
6854144
explanation:
An automatic filling machine is used to fill 2-litre bottles of cola. The machine’s output is known to be approximately Normal with a mean of 2.0 litres and a standard deviation of 0.01 litres. Output is monitored using means of samples of 5 observations.
Determine the upper and lower control limits that will include roughly 95.5 percent of the sample means.
If the means for 6 samples are 2.005, 2.001, 1.998, 2.002, 1.995 and 1.999, is the process in control?
The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.
Now let's check if the process is in control using the given sample means:
To determine the upper and lower control limits for the sample means, we can use the formula:
Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))
Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))
In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.
For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.
Given:
Mean = 2.0 litres
Standard Deviation = 0.01 litres
Sample size (n) = 5
Using the formula, we can calculate the upper and lower control limits:
UCL = 2.0 + (1.96 * 0.01 / sqrt(5))
LCL = 2.0 - (1.96 * 0.01 / sqrt(5))
Calculating the values:
UCL ≈ 2.0018 litres
LCL ≈ 1.9982 litres
Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.
Now let's check if the process is in control using the given sample means:
Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997
Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.
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what is the difference between ka and kb and what is the mathematical relationship between them?
Ka and Kb are both acid-base equilibrium constants, but they apply to different types of reactions. Ka (acid dissociation constant) is used to describe the dissociation of an acid in water, while Kb (base dissociation constant) is used to describe the dissociation of a base in water.
Specifically, Ka is a measure of the strength of an acid in terms of how easily it donates a proton (H+) to a solvent like water. A higher Ka value indicates a stronger acid, while a lower Ka value indicates a weaker acid. Kb, on the other hand, is a measure of the strength of a base in terms of how easily it accepts a proton (H+) from a solvent like water. A higher Kb value indicates a stronger base, while a lower Kb value indicates a weaker base. There is a mathematical relationship between Ka and Kb for conjugate acid-base pairs, which are molecules or ions that differ by the presence or absence of a single proton. The relationship is expressed by the equation: Ka x Kb = Kw, where Kw is the ion product constant for water, which is 1.0 x 10⁻¹⁴ at 25°C. This relationship shows that the stronger the acid, the weaker its conjugate base, and vice versa.
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Danielle wants to buy 8 1/3 cups of almonds. There are four and 4 1/16 cups of almonds in each package. How many packages of almonds should Danielle buy?
Select the correct answer.
Date Daily Balance
2-20-2013 -$61.52
2-25-2013 $912.52
2-28-2013 $225.78
3-05-2013 -$228.82
3-06-2013 -$168.55
3-08-2013 $27.58
The table shows the balance in Mr. Wallace's bank account on different dates. On which date was the account balance the lowest?
A.
2-20-2013
B.
2-25-2013
C.
3-05-2013
D.
3-08-2013
Answer:
Ç
Step-by-step explanation:
The bank account is lowest on 3-05-2013
Good day mate!
Answer:
The answer is C and if not C then maybe B
Step-by-step explanation:
Hope this helped have a good day!!! :) :)
using trig to solve for missing angle
Answer:
x = 14.0902 (After rounding to the nearest ten-thousandth)
Step-by-step explanation:
Using the bottom angle to solve x, the best option to use would be sine as we have the length for the opposite leg. Then we do the following:
Sin(69) = Opp/Hyp
Sin(69) = 14/x
0.9336 = 14/x
0.9336(x) = 14/x(x)
0.9336x = 14
0.9336x/0.9336 = 14/0.9936
x = 14.0902
-5=y-7 divided by 9 please help I really need this
Step-by-step explanation:
Our equation;
\(-5=\frac{y-7}{9}\)
Multiply each side by 9 to remove the fraction;
\(-45=y-7\)
Add 7 to each side;
\(\boxed{-38=y}\)
What is the scale factor of the dilation?
One-eighth
One-fourth
4
8
The image of the parallelogram which is larger than the preimage,
indicates that the scale factor is larger than 1.
Correct response:
The scale factor of the dilation is 4Which is the Method used for finding the scale factorThe scale factor is found by finding the ratio of the corresponding sides.
The possible given diagram in the question is a parallelogram FGHJ
dilated to form the similar parallelogram, F'G'H'J'.
The length of side FG = -2 - (-4) = 2
The length of side F'G' = 3 - (-5) = 8
\(The \ scale \ factor = \mathbf{ \dfrac{Length \ of \ F'G'}{Length \ of \ FG} }\)Which gives;
\(The \ scale \ factor = \dfrac{8}{2} = 4\)
The scale factor = 4Learn more about scale factor of dilation here:
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Answer:
C) 4
Step-by-step explanation:
h 10 yd.
L 14 yd.
W 3 yd.
Volume=
Answer:
10yd x 14 yd x 3yd = 420yd ^3
Step-by-step explanation:
When calculating for the volume you multiply all three numbers. That’s why when you write your answer you cube it.
Explain the statement. "All functions are relation but some relations are not functions?"
Answer:
This is because, a relation could be any set of ordered pairs where as a function is a set of ordered pairs where there is only ONE value of y for every value of x.
Another way of explaining it is:
In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments. By contrast, in a relation, there can be any number of lists that agree on all but the last element.
The statement "All functions are relations but some relations are not functions" highlights the relationship between functions and relations and the distinction between the two concepts.
In mathematics, a relation is a set of ordered pairs that establishes a connection between elements of two sets. It can be thought of as a collection of inputs and outputs.
On the other hand, a function is a specific type of relation in which each input value (x-coordinate) is associated with exactly one output value (y-coordinate).
So, when we say "all functions are relations," we are acknowledging that functions are a subset of relations. This is because functions satisfy the property of assigning a unique output for each input, making them a special kind of relation.
However, the statement also recognizes that there are relations that do not meet the criteria of a function. This occurs when an input value is associated with multiple output values or when an input value has no corresponding output value.
In other words, some relations may have more than one output value for a given input, or they may lack a well-defined output for certain inputs. Such relations are not considered functions.
Therefore, while all functions can be classified as relations, not all relations can be classified as functions due to the specific requirement of having a unique output for each input.
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the sum of third and seventh terms of an AP is 20 . Find the sum of the first nine
Given:
The sum of third and seventh terms of an AP is 20.
To find:
The sum of the first nine terms.
Solution:
We have, the sum of third and seventh terms of an AP is 20.
\(a_3+a_7=20\) ...(i)
nth term of an AP is
\(a_n=a+(n-1)d\)
where, a is first term and d is common difference.
\(a_3=a+(3-1)d\)
\(a_3=a+2d\) ...(ii)
\(a_7=a+(7-1)d\)
\(a_7=a+6d\) ...(iii)
Using (i), (ii) and (iii), we get
\((a+2d)+(a+6d)=20\)
\(2a+8d=20\) ...(iv)
Now, the sum of first n terms of an AP is
\(S_n=\dfrac{n}{2}[2a+(n-1)d]\)
Put n=9 to find the sum of first 9 terms of an AP.
\(S_n=\dfrac{9}{2}[2a+(9-1)d]\)
\(S_n=\dfrac{9}{2}[2a+8d]\)
\(S_n=\dfrac{9}{2}[20]\) [Using (iv)]
\(S_n=\dfrac{180}{2}\)
\(S_n=90\)
Therefore, the sum of the first 9 terms is 90.
A situation in which conclusions based upon aggregated crosstabulation are different fromunaggregated crosstabulation is known asa.wrong crosstabulationb.Simpson's rulec.Simpson's paradoxd.aggregated crosstabulationANS: C
A situation in which conclusions based upon aggregated crosstabulation are different from unaggregated crosstabulation is known as Simpson's paradox.
Simpson’s Paradox is an example of statistics that can be wrong. The paradox is defined as averages that can be silly and misleading. Sometimes they can be just plain baffling.
It is also called the Yule-Simpson effect which is an effect that occurs when the marginal association between two categorical variables is qualitatively different from the partial association between the same two variables after controlling for one or more other variables.
This result is often encountered in social science and medical science statistics and is particularly problematic when frequency data are unduly given causal interpretations.
It is a statistical phenomenon where an association between two variables in a population emerges or reverses when the population is divided into subpopulations.
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What is the first step in solving 5v+9=−51
Answer:
subtract 9 then when u get the answer divide by 5
Step-by-step explanation:
The first step in solving 5v + 9 = -51 is to subtract 9 from both sides of the equation.
This will isolate the variable v on the left-hand side of the equation.
The equation is:
5v + 9 = -51
To isolate v, we need to get rid of the 9 on the right-hand side of the equation. We can do this by subtracting 9 from both sides of the equation. This will give us the following equation:
5v + 9 - 9 = -51 - 9
Simplifying both sides of the equation, we get:
5v = -60
Now that the variable v is isolated, we can solve for the value of v by dividing both sides of the equation by 5. This will give us the following equation:
v = -60 / 5
Simplifying both sides of the equation, we get:
v = -12
Therefore, the value of v is -12.
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1. Explain why the diagram shows that 6(3 + 4) = 6(3) +6(4). 2. Draw a diagram to show that 5(x + 2) = 5x+ 10.
Given the expression:
\(6(3+4)=6(3)+6(4)\)The expression shows the distribution property of addition
So, 6 ( 3 +4 ) = 6 * 7 = 42
Which will give the same result if we distribute 6 over 3 and 4
So, 6 (3) + 6(4) = 18 + 24 =42
Show the following diagram:
As shown, the rectangle on the left side has 3 rows + 4 rows
Which will give us 7 rows when divided to 6 column will give 42 squares
While the rectangles on the right side. we have divided it to 3 rows and 4 rows, each one of them is divided to 6 column which will give us 18 squares and 24 squares the sum of them will give us 42 squares
So, 6 ( 3 + 4 ) = 6(3) + 6 (4)
HELP DUE IN 10 MINS!
Attached is the Question.
Answer:
∠N ≅ ∠J - givenLN ≅ LJ - given∠L ≅ ∠L - reflexive propertyPostulate: ASA
Congruency Statement: ΔJML ≅ ΔNKL
PLEASE HELP! THANKS!!
which is the better buy chord charts A 13:10 B 18:15
Step-by-step explanation:
is there more to the question?
La un supermarket sau vandut intro zi 32kg de banane si 86kg de portocale incasanduse 536 lei a doua zi sau vandut 96 kg de banane si 52kg de portocale incasanduse 784 lei cati lei costa un kg de banane dar de portocala
Answer:
the banana cost per kg is 6 and for orange it is 4
Step-by-step explanation:
The computation is shown below:
Let us assume the banana be x
And, the oranges be y
Now according to the question
There would be two equations
32x + 86y = 536.......(1)
96x + 52y = 784.........(2)
Now multiply by 3 in equation 1
96x + 258y = 1,608
96x + 52y = 784
258y - 52y = 1608 - 784
206y = 824
y = 4
And, the x would be
32x + 86(4) = 536
32x + 344 = 536
x = 6
Hence, the banana cost per kg is 6 and for orange it is 4
a subset of the integers 1, 2, . . . , 100 has the property that none of its members is 5 times another. what is the largest number of members such a subset can have
The largest number of members such a subset can have is 60.
Let's consider the numbers in the subset that are multiples of 5. If we have one of these multiples in the subset, then we cannot have any other multiple of that number in the subset, otherwise, one of them would be 5 times another.
So we can choose at most one number from each set of multiples of 5: either 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, or 100.
This gives us a maximum of 20 numbers that we can choose from these sets.
Now we consider the remaining numbers from 1 to 100 that are not multiples of 5. Each of these numbers can be expressed as a product of a power of 2 and an odd number. For example, 33 = 2^0 x 33, 72 = 2^3 x 9.
If we choose any number that has a power of 2 greater than or equal to 3, then we cannot choose any other number that has the same odd factor, otherwise, one of them would be 5 times another. This is because any number with a power of 2 greater than or equal to 3 is a multiple of 8, and any multiple of 8 has a factor of 5.
So we can choose at most two numbers from each set of numbers that have the same odd factor: either 1, 3, 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 37, 39, 41, 43, 47, 49, 51, 53, 57, 59, 61, 63, 67, 69, 71, 73, 77, 79, 81, 83, 87, 89, 91, 93, 97, or 99.
This gives us a maximum of 2 x 20 = 40 numbers that we can choose from these sets.
Therefore, the largest number of members such a subset can have is 20 + 40 = 60.
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Hey can anyone help me with this!!
Question: Do you think Gabby Petitio's fiancee murdered her? Answer in C.E.R format.
Answer:
Yes.
Step-by-step explanation:
Claim: They were in a fight and a police report was made by domestic violence.
Evidence: Gabby was forced out of the car and taken down to a hotel with the police.
Reasoning: Maybe her fiance picked her up at the middle of the night and killed her. Also, her fiance is still not found.
Hope this helps!
we used an algorithm that computes the median of 5 and showed that it works in a worst-case linear time. 1. repeat the problem using the median of 3 and argue that it does not work in linear time. 2. repeat the problem using the median of 7 and show that it works in a linear time. 1
The median of 3 algorithm does not work in linear time when computing the median of 5. It requires additional comparisons and rearrangements, resulting in a higher time complexity than linear. The median of 7 algorithm works in linear time when computing the median of 5. It allows for efficient selection of the median by utilizing a larger set of elements, ensuring linear time complexity.
To illustrate this, let's consider the scenario of finding the median of 5 using the median of 3 approach. We start by selecting three elements and finding their median, let's say it's element A. Then we compare element A with the remaining two elements. If A is greater than both of them, it becomes the median. Otherwise, we need to consider another pair of elements and repeat the process. This additional step introduces more comparisons and operations, making the algorithm more complex than a linear time algorithm. When using the median of 7 to compute the median of 5, it works in linear time. The median of 7 algorithm selects the median element from a set of seven elements, which can be done in linear time. By applying this algorithm to find the median of 5, we select a subset of five elements and determine their median using the median of 7 algorithm. This approach ensures that we find the median of 5 in a linear time complexity.
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Subtract (2x - 2y) from the sum of (10x - 2y) and (-3y)
The value of (10x - 2y) + (-3y) - (2x-2y) is 8x-3y (option A)
What is subtraction?In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less. The minuend, subtrahend, and difference are parts of a subtraction problem.
For example, if 5 mangoes were taken from a basket filled with 20 mangoes, the number of mangoes left in the basket is calculated by subtracting 5 from 20 i.e 20-5 = 15 mangoes.
(10x-2y) + (- 3y) - (2x-2y)
10x +2y -3y-2x +2y
collect like terms
10x -2x+2y-3y-2y
8x-3y
= 8x - 3y
Therefore the value of Subtracting (2x - 2y) from the sum of (10x - 2y) and (-3y) is 8x+3y
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The area of Jenny's garden is 60 square feet,and the width of the garden is 5 feet. What's the length of her garden?
Answer:
Step-by-step explanation: 300 square feet
If 14 gallons of paint cover 13 of a wall, then how much paint is needed for the entire wall?
A : 12gallon
B : 34gallon
C : 113gallons
D : 2 gallons
Answer:
lmelkjiuoeifiuuhdhiqifoijoenfonsindonbhqhsnunundu3pejdonljnqpijpij380urejskfhou3heihnjdnougfyegufuoheouhpijpijfij
ijjfo[joj[ojpojojfpijoejfojej[[o[oj[o[o
Step-by-step explanation:
Please Show all work :) thank you
given: sin a= 2/5, a is in Quadrant 2. and cos b= -1/3, b is in
Quadrant 3
(2) Find the exact value (Do not use a calculator) of each expression using reference triangles, Addition and Subtraction Formulas, Double Angle Formulas, and/or Half-Angle Formula under the given con
The values of sin b, cos b, and tan b are:
sin b = (opposite/hypotenuse) = (2√2)/3
cos b = -1/3
tan b = (sin b/cos b) -2√2
sin a = 2/5, a is in Quadrant 2.
cos b = -1/3, b is in Quadrant 3.
To find the exact values of the trigonometric expressions, we can use reference triangles and trigonometric identities.
For sin a = 2/5 in Quadrant 2:
Since sin a = opposite/hypotenuse, we can create a reference triangle in Quadrant 2 with the opposite side of length 2 and the hypotenuse of length 5. Using the Pythagorean theorem, we can find the adjacent side:
adjacent^2 = hypotenuse^2 - opposite^2
adjacent^2 = 5^2 - 2^2
adjacent^2 = 25 - 4
adjacent^2 = 21
adjacent = √21
Therefore, the values of sin a, cos a, and tan a are:
sin a = 2/5
cos a = -√21/5 (since cos a is negative in Quadrant 2)
tan a = (opposite/adjacent) = 2/(-√21) = -2√21/21
For cos b = -1/3 in Quadrant 3:
Since cos b = adjacent/hypotenuse, we can create a reference triangle in Quadrant 3 with the adjacent side of length -1 and the hypotenuse of length 3. Using the Pythagorean theorem, we can find the opposite side:
opposite^2 = hypotenuse^2 - adjacent^2
opposite^2 = 3^2 - (-1)^2
opposite^2 = 9 - 1
opposite^2 = 8
opposite = √8 = 2√2
Therefore, the values of sin b, cos b, and tan b are:
sin b = (opposite/hypotenuse) = (2√2)/3
cos b = -1/3
tan b = (sin b/cos b) = [(2√2)/3] / (-1/3) = -2√2
I have shown the work for finding the values of sin a, cos a, tan a, sin b, cos b, and tan b using reference triangles and trigonometric identities.
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How do i solve this paper?
I feel like my answers are gone and i need help.
Answer:
you have it correct sir
Step-by-step explanation:
help pleaseeeeee and quick too lol!
Step-by-step explanation:
2/root 9=2/3 = 0.6666666667
Answer:
0.66666
Step-by-step explanation:
help meee pleaseeee i donr know how to solve thisss
Answer:
D
Step-by-step explanation:
-12 + 5 ≤ 4
-7 ≤ 4
this inequality is true
The answer to the question is D