Step-by-step explanation:
i)=
m=2/3
x=-3
y = 5
now
y=mx+c
or, 5 = 2/3× -3 + c
or, 5 = -2+c
c =7
now,
y= mx + c
or, y = 2/3×x+7
or, y = 2x/3+7
or, 3y = 2x+21
so, 3y-2x=21
equation would be 3y-2x=21.
now
ii)=
if slope of 3y-2x=21 and 2x-3y = 0 are same, they are parallel.
2x-3y = 0
2x = 3y
lets suppose x is 9
now
2x=3y
2×9 = 3y
or, 18 = 3y
so, y = 6
one coordinate would be (9,6) now
lets again suppose x is 3
2x=3y
2×3 = 3y
or, 6 = 3y
so, y = 2
another coordinate is (3,2)
now lets find slope
x1=9,y1=6
x2=3,y2=2
slope = (y2-y1)/(x2-x1)
= (2-6)/(3-9)
= -4/-6
= 2/3
Since, slope of 3y-2x=21 and 2x-3y has same slope 2/3, they are parallel.
What are some Mathematical Concepts for Slopes and equations? Any kind of help would be much appreciated.
Answer:25256
Step-by-step explanation:
What is the equation of the graphed line written in
standard form?
2x + 3y = -6
2x + 3y = 6
y= -2/3x - 2
v= 2/3x - 2
Answer:
A. 2x + 3y = -6
Step-by-step explanation:
\((-3,0) (0,-2)\)
\(slope:\frac{-2-0}{0+3} =\frac{-2}{3}\)
\(y-0=\frac{-2}{3} (x+3)\)
\(3y=-2x-6\)
\(3y+2x+6=0\)
\(2x+3y=-6\)
-------------------
hope it helps...
have a great day!!
-x/5-8=12
Show work
And check
Answer:
\(\huge\boxed{\sf x = -100}\)
Step-by-step explanation:
Given equation:\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)
3/4 divided by 5/6 what is the answer 9/10 or 15 /24
Answer:
9/10
This is what I got for my answer. I hope this helps!
Answer:
9/10 would be the answer
Find the slope between (9,-2) and (-1,5)
Answer:
7/-10
Step-by-step explanation:
subtract
5-(-2) = 7
-1-9 = -10
Answer:
The slope is -0.7 or -7/10
Step-by-step explanation:
For 10 x values decreased, the y values go up 7 values. So the slope is -7/10 or -0.7
I hope that this helps! :)
1st answer gets brainliest what is 17/12 + 11/12
Answer:
7/3
Step-by-step explanation:
17/12+11/12
28/12
=>7/3
is 13 over 12 a proper or an improper fraction?
Step 1
An improper fraction is a fraction in which the numerator(top number) is greater than or equal to the denominator ( the bottom number)
Step 2
Conclude based on step 1
Hence
\(in\text{ }\frac{13}{12}\text{ the numerator 13 is bigger than the denominator 12, th}erefore\text{ it is an improper fraction}\)Therefore the right answer is an improper fraction
Using +- 3o limits, calculate the LCL and UCL for these data A) UCL=7.437;LCL=−2.237 B) ∪CL=7.82;LCL=0 C) UCL=8.382;LCL=0 D) UCL=7.82;LCL=−2.22 E) UCL=9.112;LCL=0
The Upper Control Limit (UCL) and Lower Control Limit (LCL) are calculated for different data sets, as specified in the given values.
The UCL and LCL are statistical control limits used in process control to determine if a process is in a stable and predictable state. These limits define the range within which data points should fall if the process is under control.
In each case provided (A, B, C, D, E), the UCL and LCL values are given. These values represent the calculated control limits for the respective data sets.
To calculate the control limits, a specific statistical method such as the ± 3σ (sigma) method may have been used. This method sets the UCL and LCL at three standard deviations above and below the mean.
The UCL represents the upper threshold or upper boundary, while the LCL represents the lower threshold or lower boundary. These limits help identify any potential deviations or out-of-control situations in the data.
By applying the given values, the corresponding UCL and LCL for each data set can be calculated. These limits are important for quality control and process monitoring, ensuring that the data falls within acceptable ranges.
To calculate the UCL and LCL using ±3σ limits, we use the following formulas:
UCL = Mean + 3σ
LCL = Mean - 3σ
Here, σ represents the standard deviation of the data set. The ±3σ limits provide a range that encompasses most of the data points in a normal distribution, with approximately 99.7% of the data falling within this range.
A) For data set A:
UCL = 7.437
LCL = -2.237
B) For data set B:
UCL = 7.82
LCL = 0
C) For data set C:
UCL = 8.382
LCL = 0
D) For data set D:
UCL = 7.82
LCL = -2.22
E) For data set E:
UCL = 9.112
LCL = 0
The ±3σ limits are derived from the standard deviation (σ) of the data set. Unfortunately, the standard deviation is not provided in the given information. If you have the standard deviation available, we can proceed to calculate the UCL and LCL using the formulas UCL = Mean + 3σ and LCL = Mean - 3σ.
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Question - What are the upper control limit (UCL) and lower control limit (LCL) using a ±3σ limit for the given data sets?
A) For data set A, the UCL is 7.437 and the LCL is -2.237.
B) For data set B, the UCL is 7.82 and the LCL is 0.
C) For data set C, the UCL is 8.382 and the LCL is 0.
D) For data set D, the UCL is 7.82 and the LCL is -2.22.
E) For data set E, the UCL is 9.112 and the LCL is 0.
It’s not 12 but what goes on the green box?
Answer:
9
Step-by-step explanation:
Use exponential rules: add the exponents when multiplying, subtract the exponents when dividing.
Answer:
3^9
Step-by-step explanation:
- Rewrite the division as a fraction. 3^8x3^3/3^2
- Multiply
3^8 by 3^3 by adding the exponents.
3^11/3^2
- Cancel the common factor of 3^11 and 3^2
3^9
An electron moving at 4.10 *10^3 m/s in a 1.28 T magnetic field experiences a mangetic force of 1.40* 10^-16 N.what angle dose the velocity of the electron make with the magnetic filed? there are two answer between 0° and 180° . Smaller value = ° larger value = °
The angle which the velocity of electron make with the magnetic field is : Smaller value = 88.3°, Larger value = 91.7°.
The angle that the velocity of the electron makes with the magnetic field is given by:
θ = arctan(F/mv²B)
where F is the magnetic force on the electron,
m is the mass of the electron,
v is the velocity of the electron, and
B is the magnetic field.
Substituting the given values, we have:
θ = arctan((1.40 × 10⁻¹⁶ N)/(9.11 × 10⁻³¹ kg × (4.10 × 10³ m/s)² × 1.28 T))≈ arctan(2.35 × 10⁷)
The angle θ lies between 0° and 90° because the tangent function is positive in the first quadrant.
Using a calculator, we find that:θ ≈ 88.3°
Therefore, the smaller value is 88.3° and the larger value is 180° - 88.3° = 91.7°.
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is this correct? if not please show correct version step by step.
Step/Answer:
The mistake begins at the line 3 where distrubting 2 in the expression. line 1 and line 2 both are correct. But line 3 is wrong.
\(2 {x}^{2} + 2x - 2 = 2 {x}^{2} - 18 \\ 2 {x}^{2} + 2x - 2 - 2 {x}^{2} + 18 = 0 \\ 2x - 2 + 18 = 0 \\ 2x + 16 = 0 \\ 2x = - 16 \\ x = - 8\)
\(2( {x}^{2} - 9) = (2 \times {x}^{2} ) + (2 \times ( - 9)\)
From line 3, you forgot to distribute 2 in -9.
a boat starts off 186 miles directly east from the city of smithville. it travels due south at a speed of 27 miles per hour. after travelling 121 miles, how fast is the distance between the boat and smithville changing? (do not include units in your answer, and round to the nearest hundredth.)
The distance between the van and Smithville is changing at a rate of 14.50 miles per hour
To calculate fow fast the distance, follow these step,1. Calculate the total distance between the van and Smithville by subtracting the distance the van has travelled (121 miles) from the total distance the van is from Smithville (186 miles): 186- 121 = 65 miles.
2. Calculate the rate of change by dividing the total distance (65 miles) by the amount of time it has taken the van to travel that distance (121 miles/27 miles per hour = 4.48 hours): 65/4.48= 14.50 miles per hour.
3. Round the rate of change to the nearest hundredth: 14.50 rounded is 14.5.
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true or false? decisions about the types of questions that will be included in a questionnaire must include considerations of which statistical tests the researcher will use on the collected data.
It is True to take decisions about the types of questions
What is meant by Researching?Researching: to study a subject in detail, especially in order to discover new information or reach a new understanding: She's researching into possible cures for AIDS. Journalists were frantically researching the new prime minister's background, family, and interests. Thesaurus: synonyms, antonyms, and examples. to study something.
It is True to take decisions about the types of questions that will be included in a questionnaire must include considerations of which statistical tests the researcher will use on the collected data.
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Rick deposited $1500 in a savings account that earns 6% interest for 4 years. How much money is in his account at the end of the 4 years?
Answer:
$5820
Step-by-step explanation:
1500*6%=90 per month
90*(48months=4yrs)=4320
1500+4320=5820
For f(x) = -4x + 1, what is the output for an input of -2?
\(\huge\boxed{\boxed{9}}\)
Start with the original function:
\(f(x)=-4x+1\)
Substitute in the known value:
\(f(-2)=-4(-2)+1\)
Multiply:
\(f(-2)=8+1\)
Add:
\(f(-2)=\large\boxed{9}\)
Answer:
9
Step-by-step explanation:
In this type of equation, x represents the input. So, all you simply have to do is replace x with -2 and then solve.
Input: -2
f(x) = -4x + 1
f(-2) = -4(-2) + 1
f(-2) = 8 + 1
f(-2) = 9
simplify: 3√45 -4 √225 + √200 - √50
According to the given data we have the following:
3√45 -4 √225 + √200 - √50
Then to simplify we would have to make the following:
[3 × √3 × √3 × √5] - [√5 × √5 × √5] + [√2 × √2 × √2 × √5 × √5] - [√2 × √5 × √5]
=[3 × 3 × √5] - [5 × √5] + [2 × 5 × √2] - [5 × √2]
=3√5 - 5√5 + 10√2 - 5√2
=√5(3 - 5) + √2(10 - 5)
=(-2√5) + 5√2
Therefore, the answer would be 16√5 + 75√2
\(x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} \\\)
Answer: \(x^{26}\)
Step-by-step explanation:
The \(x^2\) appears 13 times. Using the exponent rule \(x^a x^b=x^{a+b}\), we get that:
\(x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2=x^{2(13)}=x^{26}\)
What is the factored form of the polynomial?
x2 − 15x + 36
A. (x − 4)(x − 9)
B. (x − 3)(x − 12)
C. (x + 4)(x + 9)
D. (x + 3)(x + 12)
Answer:
B
Step-by-step explanation:
When you factorize the x2-15x+36 there will be two x, one 36, and - 15x so correct Answer is b
7/8 as a sum of fractions
(I am not sure if this is what you are looking for)
7/8 is seven eights, so we can break it into 7 parts.
\(\frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} = \frac{7}{8}\)
Hope this helps, have a nice day!
find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4
When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.
To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.
Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:
\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)
Taking the square root of both sides to find sin(0), we have:
sin(0) = ±√(16/25)
Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:
sin(0) = -√(16/25)
Simplifying further, we get:
sin(0) = -4/5
Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.
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Note the correct and the complete question is
Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4 ?
the height of a right triangle is 3 times the length of the base. if the area of the triangle is 96 cm2, what is the height, in centimeters?
The height of the right triangle is 24 centimeters. This is determined by solving the equation for the area of the triangle, which is given as 96 cm², and considering that the height is 3 times the length of the base. By substituting the values and solving the equation, we find that the height is indeed 24 centimeters.
To determine the height of the right triangle, we can use the formula for the area of a triangle, which is given by the formula A = (1/2) * base * height. In this case, the area is known to be \(96 cm^2\).
Let's denote the length of the base as x. According to the problem statement, the height is 3 times the length of the base, so the height can be expressed as 3x.
Substituting these values into the area formula, we get:
\(96 = (1/2) * x * 3x\)
Simplifying the equation:
\(96 = (3/2) * x^2\)
To solve for x, we can divide both sides of the equation by (3/2):
\(64 = x^2\)
Taking the square root of both sides, we find:
x = 8
Since the height is 3 times the length of the base, the height is:
3 * 8 = 24 centimeters.
Therefore, the height of the right triangle is 24 centimeters.
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There is a probablity of ____ that any individual at a random from
a population will fall (plus or minus) one standard deviation of
the mean.
Step-by-step explanation:
I hope this answer is helpful ):
Answer pls help ill give brainlist !!!!
Answer:
18.54 = x
Step-by-step explanation:
T Raiderlink Bb Blackboard SPC Blackboard TTU -/1 Points] DETAILS HARMATHAP12 9.4.011. Find the derivative of the function. w = 2? - 326 + 14 w= 1-/1 Points) DETAILS HARMATHAP12 9.4.014.MI. Find the derivative of the function. +(x) = 16x12 + 6x6 - 2x + 19x - 7 h'(x) = [-/1 Points] DETAILS HARMATHAP12 9.5.002.MI. Find the derivative and simplify. y = (8x + 5)(x2 – 3x).
The derivative of the function is
A) dw/dz=z^5 (7z-18)
B) dh/dx=192x^11+36x^5-6x^2+19
C) dy/dx=24x^2-38x-15
In mathematics, the derivative of a function measures the sensitivity to change of the function value with respect to a change in its argument. It is the rate of change of a function with respect to a variable.
A) w = z^7 – 3z^6 + 14
dw/dz=7z^6-18z^5
dw/dz=z^5 (7z-18)
B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7
dh/dx=192x^11+36x^5-6x^2+19
C) y = (8x + 5)(x^2 – 3x)
dy/dx= d/dx [8x+5]*〖(x〗^2-3x)+(8x+5)*d/dx[x^2-3x]
dy/dx=(8* d/dx [x}+d/dx[5])*〖(x〗^2-3x)+(8x+5)*(d/dx[x^2]-3 d/dx[x])
dy/dx=(8*1+0)(x^2-3x)+(8x+5)(2x-3*1)
dy/dx=8(x^2-3x)+(2x-3)(8x+5)
dy/dx=24x^2-38x-15
Note: The question is incomplete. The complete question probably is: Find the derivative of the following function: A) w = z^7 – 3z^6 + 14 B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7 C) y = (8x + 5)(x^2 – 3x).
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Kiran ate breakfast in a café. His total check was $15.
a. What’s a 20% tip?
b. How much money did Kiran spend altogether for breakfast?
Answer:
A 20 percent tip is basically multiplying the price by 0.2
Percent means out of a hundred.
20/100 is 0.2
We have to find 0.2 of 15.
We can multiply 15 by 0.2 to find 20 percent of 15 and you would get 3.
20 percent of 15 is 3 dollars thats your answer to A
Now the total price would just be the percentage you found in A and add it to the total breakfast.
3 + 15 = 18
Kieran spend 18 dollars for brekfast.
What is the result of subtracting the second equation from the first? \begin{aligned} -2x+7y &= 10 \\\\ 3x+7y &= 2 \end{aligned} −2x+7y=10 3x+7y=2
Answer:
-5x = 8
Step-by-step explanation:
The result is shown here. The y-terms cancel.
\(\begin{array}{rccc}& -2x+7y &= &10 \\-&(\ \,3x+7y &= &2)\\\cline{1-4}&-5x+0y&=&8 \end{array}\)
The simplified result is ...
-5x = 8
Answer:
The result is that 5x = -8
Step-by-step explanation:
Here, we want to subtract 3x + 7y = 2 from -2x + 7y = 10
Mathematically that would be;
(-2x+7y)-(3x+7y) = 10-2
-2x + 7y -3x -7y = 8
-2x -3x + 0 = 8
-5x = 8 or 5x = -8
Someone plz help me :(
Answer:
the answer is c :)
Step-by-step explanation:
Which inequality is true when x = 0.8?
Answer: C
Step-by-step explanation:
Use the order of operations to simplify each expression.
(40 + 24))/ (8-2²)-1
The simplified expression is 15.
To simplify the expression using the order of operations, also known as PEMDAS/BODMAS, we will follow these steps:
Step 1: Evaluate exponents (2²).
First, we need to evaluate the exponent 2², which means squaring the number 2.
2² = 2 * 2 = 4.
Now our expression becomes:
(40 + 24) / (8 - 4) - 1
Step 2: Perform addition and subtraction from left to right.
Inside the parentheses:
40 + 24 = 64
Now our expression becomes:
64 / (8 - 4) - 1
Inside the parentheses:
8 - 4 = 4
Now our expression becomes:
64 / 4 - 1
Step 3: Perform division.
64 divided by 4 equals 16.
Now our expression becomes:
16 - 1
Step 4: Perform subtraction.
16 - 1 equals 15.
Therefore, the simplified expression is 15.
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1. Which of the following is INCORRECT:
Independent random samples arise when ...
a. one random sample is split into groups differing by an observed feature
b. the individuals in a sample are randomly assigned to experimental groups
c. data is recorded repeatedly on a random sample of individuals
d. random samples are selected separately
2. The margin of error of a confidence interval about the difference between the means of two populations is equal to
a. half the width of the confidence interval
b. twice the width of the confidence interval
c. the width of the confidence interval
d. 1.5 times the width of the confidence interval
1. Independent random samples arise when one random sample is split into groups differing by an observed feature is incorrect.
2. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.
1. Independent random samples arise when individuals in a sample are randomly assigned to experimental groups, data is recorded repeatedly on a random sample of individuals, or random samples are selected separately. The statement that one random sample is split into groups differing by an observed feature does not accurately describe independent random samples.
2. The margin of error in a confidence interval represents the range of values within which the true population parameter is likely to fall. It is calculated by taking half of the width of the confidence interval. Therefore, the correct answer is that the margin of error is equal to half the width of the confidence interval.
In summary, the incorrect statement is that independent random samples arise when one random sample is split into groups differing by an observed feature. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.
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