Answer:
\(y=-3x+10\)
Step-by-step explanation:
Parallel equations have same slope
Therefore slope of 3x + y = -2 is same as slope of other equation.
Slope of 3x + y = -2 is
m=-3
Now we have write equation having slope -3 and passing through point (5, -5)
\((y+5)=-3(x-5)\)
\(y=-3x+10\)
As you have seen, relativistic calculations usually involve the quantity When is appreciably greater than we must use relativistic formulas instead of Newtonian ones. For what speed (in terms of is the value of greater than (b) 10
greater than 1 ; (c) 100
greater than 1
The value of γ is greater than 1 for any v > 0, greater than 10 for v > 0.995c, and greater than 100 for v > 0.99995c.
To determine for what speed (in terms of c) the value of γ is greater than 1, 10, and 100, we'll use the formula for the Lorentz factor (γ):
γ = 1 / √(1 - v²/c²)
where v is the speed and
c is the speed of light.
(a) For γ > 1:
Since γ is always greater than 1 for any speed v greater than 0, we can say that γ is appreciably greater than 1 for any v > 0.
(b) For γ > 10:
We need to solve the equation 10 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 100 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/100 = 99/100.
So, v/c = √(99/100), which implies v > 0.995c for γ > 10.
(c) For γ > 100:
Similar to (b), solve the equation 100 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 10000 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/10000 = 9999/10000.
So, v/c = √(9999/10000), which implies v > 0.99995c for γ > 100.
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The number of permutations of n​ objects, where n1
of the items are​ identical, n2
of the items are​ identical, ..., nr
are​ identical, is found by
The formula for finding the number of permutations of n objects with identical items is n! / (n1! * n2! * ... * nr!).
To find the number of permutations of n objects where n1, n2, ..., nr items are identical, we can use the formula:
n! / (n1! * n2! * ... * nr!)
Here, n is the total number of objects and n1, n2, ..., nr are the number of identical items in each group.
This formula works by first finding the total number of permutations of all n objects, which is n!.
However, we need to adjust for the fact that some objects are identical. We divide by the factorial of the number of identical objects in each group, to avoid overcounting.For example, if we have 6 objects and 2 pairs of identical objects (n1 = n2 = 2), the formula gives:
6! / (2! * 2! * 2!) = 15 permutations
This means there are 15 different ways to arrange the 6 objects, taking into account the identical pairs.
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Tanya is training a turtle for a turtle race. For every 1/3 of an hour that the turtle is crawling, he can travel 2/23 of a mile. At what unit rate is the turtle crawling?
The unit rate with the turtle crawling is 6/23 mile per hour.
According to the statement
we have given that the every 1/3 of an hour that the turtle is crawling, he can travel 2/23 of a mile. and
we have to find the unit rate with the turtle crawling
So, For this purpose,
we know that the
The unit rate of speed in miles per hour the number of miles in one hour.
So, to find the unit rate:
Divide distance in miles with the time which is in hours.
So,
unit rate of speed = distance / time
unit rate of speed = (2/23) / (1/3)
unit rate of speed = 6/23 mile per hour.
So, The unit rate with the turtle crawling is 6/23 mile per hour.
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!50 POINTS!
Which number is a solution of the inequality?
6 greater than z left-parenthesis 10 minus z right-parenthesis
A. 0
B. 1
C. 2
D. 3
I'm super confused on this question. Awarding Brainiest for Answer and Step By Step Explanation. Thanks!
Answer:
A. 0Step-by-step explanation:
Given inequality:
6 > z(10 - z)Solution:
6 > 10z - z²z² - 10z + 6 > 0z² - 10z + 25 > 19(z - 5)² > 19z - 5 > √19 ⇒ z > 5 + √19 ⇒ z > 9.35z - 5 < - √19 ⇒ z < 5 - √19 ⇒ z < 0.64The only number satisfying this inequality is 0.
Correct choice is A
Please help me answer these questions and explain why... I will mark you brainliest and rate you five stars
How you calculate this is this:
So, any two given sides much be greater than the other side.
7. The answer is no. 1 plus 5 is 6 right? 6 is less than 11, so it can never be a triangle.
8. The answer is yes. 3 plus 6 is greater than 7. 3 plus 7 is greater than 6. 6 plus 7 is greater than 3.
9. The answer is yes. 9 plus 11 is greater than 12. 9 plus 12 is greater than 11. 11 plus 12 is greater than 9.
3. The cash register subtracts $2.50 from a $25
Coffee Café gift card for every medium coffee
the customer buys. Use the graph to write an
equation in slope-intercept form to represent
this situation.
The equation of the line in the slope-intercept form is: y = -2.50 x + 25
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical land in a that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
We have given that Coffee Café gift card = $25
Medium coffee = $2.50
customers
We can represent the number of coffees customer can buy using a linear equation.
Slope formula
m = (22.50 - 25)/(1 - 0)
m = -2.50
Now Point-slope form of the line;
y-y₁ = m(x-x₁)
( y - 25) = -2.50 ( x - 0)
y = -2.50 x + 25
The slope: m = - 2.50
The equation of the line: y = -2.50 x + 25
The y-intercept is 25
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The required equation in slope intercept form is given as y = 25 - 2.5x.
Given that,
The graph shows the gift card relation in the coffee shop, we have to determine the relationship between the number of coffee vs the balance on the gift card.
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The cost of the x coffees = 2.5x,
Now balance left (y) in the gift card of 25$
y = 25 - 2.5x
or
y = -2.5x + 25
Thus, the required equation in slope intercept form is given as y = 25 - 2.5x.
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Cheryl ran three laps during her physical education class. If her times were 1.23 minutes, 1.04 minutes, and 1.18 minutes,
what was her average lap time
1.19
1.15
1.21
1.17
Answer:
1.15
Step-by-step explanation:
You add up all three numbers then divide by 3
The average lap time will be 1.15 minutes. The correct option is B.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Given that Cheryl ran three laps during her physical education class. If her times were 1.23 minutes, 1.04 minutes, and 1.18 minutes.
The average will be calculated as,
Average = ( 1.23 + 1.04 + 1.18 ) / 3
Average = ( 3.45 / 3 )
Average = 1.15
Hence, the average is 1.15.
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my cousin when in Vietnam was a personal banker for his Army buddies ... if they needed money mid-month he would give them $20 if you agreed to pay him $40 at month end on payday ... although he did not disclose his borrowing rate, what was the cost of money (APR) for his buddies who needed immediate gratification
The personal banker given lending arrangement, the APR for your cousin's buddies who borrowed $20 and repaid $40 at the end of the month would be 120%
The annual percentage rate (APR) for your cousin's lending arrangement, to make a few assumptions. That each lending transaction occurs on the first day of the month and is repaid on the last day of the same month. Based on these assumptions, calculate the effective APR as follows:
Calculate the interest charged for a $20 loan over one month:
Interest = $40 (repaid amount) - $20 (loaned amount) = $20
Divide the interest by the loan amount and multiply by 100 to get the monthly interest rate:
Monthly Interest Rate = (Interest / Loan Amount) ×100 = ($20 / $20) ×100 = 100%
Multiply the monthly interest rate by 12 to obtain the annual interest rate:
APR = Monthly Interest Rate ×12 = 100% ×12 = 120%
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please help! question is in the picture!
Exponential function would better model the data because as x increases, the y values change multiplicatively. The common ratio or multiplier or base of this function is approximately 1.02.
How to classify the functions?A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.
A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.
The ratios for this problem are given as follows:
66191/64893 = 1.02.67380/66191 = 1.018.69279/67380 = 1.028.Hence the rate can be rounded to 1.02.
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If the dividend is a whole number and the divisor is 3.68, how do you move the decimal point for the dividend? The one who answer thank you so much I need it for my math today!!! 12/23/20 Happy new year and Merry Christmas!!! <3
Answer:
Move it two places to the right
Step-by-step explanation:
For example:
10/3.68= 2.717
See attached snip
In science, a theory Multiple Choice is tested by an experiment. is more narrow in scope than a hypothesis. encompasses many hypotheses. cannot be tested. is held to be an absolutely correct answer to a question.
The correct option is that in science, a theory encompasses many hypotheses.
In science, a theory is a well-established explanation that is supported by scientific evidence and is extensively tested through experimentation and observation.
It's a big idea that includes several connected hypothese that have been thoroughly investigated and found to be true. A theory that hasn't been put to the test is called a hypothesis.
A hypothesis is a proposed explanation that is subject to further testing. It's an untested hypothesis that hasn't yet undergone experimental validation. Theories are the result of a drawn-out and labor-intensive process of experimentation and observation.
They can never be established as an absolute answer to a scientific problem. Instead, they lay the groundwork for additional investigation and experimentation in that field of study.
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I NEED HELP ASAP! THANKS :)
Answer: A) stretched vertically by 2 and shifted up 6 units
Step-by-step explanation:
y = A log(Bx - C) + D where
A = vertical stretch by a factor of AB = horizontal shrink by a factor of 1/BC = horizontal shift C units (positive = right, negative = left)D = vertical shift D units (positive = up, negative = down)Given: f(x) = log x
g(x) = 2 log x + 6
→ A = 2 vertical stretch by a factor of 2
→ D = +6 vertical shift UP 6 units
Explain My last question for my test!! If you help Thank you soo much I will give brainliest if I have time and notice
Answer:
Step-by-step explanation:
(13g+1) - (-2-5g) = 8/3(3g+9/8)
We'll set them equal for now and then simplify
(13g + 1 - 2 - 5g) = (8g + 3)
8g - 1 = 8g + 3
So now we know they're not equal. Mr. Scotty boy is wrong and you have the simplifications. Hope this helps!
If y=3x+4 we’re changed to y=5x+4 how would the graph of the new function compare with the first one
Answer:
t would be steeper
Step-by-step explanation:
PLease Help Me Its A math Problem !!! As what value of x does the function f(x)=2(3)x overtake the function g(x)=2x^2+4x?
Question options:
x = 2
x = 3
x = 4
x = 1
Answer:
x=2
Step-by-step explanation:
To test when the function f(x) over takes the function g(x)
I just plugged in the x values
X f(x) g(x)
1 6 6
2 12 16
3 18 30
4 24 48
We can see from this table that f(x) is greater than g(x) starting from x=2
Therefore I think x=2 is your answer.
Hope this helps! :)
the area of a rectangle with length 2p cm and width 6 cm is 24 cm²
Answer:
A = l × b
Step-by-step explanation:
write an equation of the line that passes through the given and is perpendicular to the given line (2,-5);2y=3x+10
An equation of the line that passes through the given and is perpendicular to the given line (2,-5); 2y=3x+10 is 3y = -2x - 11
Let (x1, y1) = (2, -5)
We can write the equation of line 2y=3x+10 as,
y = (3/2)x + 5
The slope of the line 2y=3x+10 is,
m1 = 3/2
Let m2 be the slope of the required line.
We know that the product of the slope of the perpendicular lines is -1
m1 * m2 = -1
(3/2) * m2 = -1
m2 = -2/3
Using slope point form of line,
(y - y1) = m2(x - x1)
y - (-5) = (-2/3) * (x - 2)
y + 5 = -2/3x + 4/3
y = -2/3x + 4/3 - 5
y = -2/3x -11/3
3y = -2x - 11
Therefore, an equation of the line that passes through the given and is perpendicular to the given line (2,-5); 2y=3x+10 is 3y = -2x - 11
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The_____area includes all surfaces.The______area does not include bases
1st blank (lateral surface or total surface)
2nd blank (lateral surface or total surface)
Communication in Gaussian noise. In a communication system, a transmitter wants to send some signal to a receiver over a noisy medium. Suppose the signal ΘΘ is a Gaussian distributed random variable Θ∼N(0,1)Θ∼N(0,1). The noise in the medium is modeled as a Gaussian distributed random variable W∼N(0,49)W∼N(0,49) independent of the signal. The receiver observes X=2Θ+WX=2Θ+W. Give your answers to at least 4 decimal places.
The noise in the medium is also a Gaussian distributed random variable with a mean of 0 and standard deviation of 7 (square root of 49). The probability of X being greater than 10 is very small, less than 0.001%.
In this communication system, the signal Θ is a Gaussian distributed random variable with a mean of 0 and standard deviation of 1. The noise in the medium is also a Gaussian distributed random variable with a mean of 0 and standard deviation of 7 (square root of 49).
The receiver observes X, which is the sum of 2Θ and W. Since Θ and W are independent, we can calculate the mean and variance of X as follows:
E[X] = E[2Θ + W] = 2E[Θ] + E[W] = 0 + 0 = 0
Var[X] = Var[2Θ + W] = 4Var[Θ] + Var[W] = 4(1) + 49 = 53
Therefore, X is also a Gaussian distributed random variable with a mean of 0 and standard deviation of √53 = 7.2801.
To find the probability of X taking a certain value, we can use the formula for the Gaussian probability density function:
f(x) = (1/√(2πσ^2)) * e^(-(x-μ)^2/(2σ^2))
where μ is the mean and σ is the standard deviation. For example, the probability that X is equal to 0 can be calculated as:
f(0) = (1/√(2π*53)) * e^(-(0-0)^2/(2*53)) = 0.0494
To find the probability of X being greater than a certain value, we can use the cumulative distribution function (CDF) of the Gaussian distribution. For example, the probability that X is greater than 10 can be calculated as:
P(X > 10) = 1 - Φ((10 - μ)/σ)
where Φ is the standard normal CDF. Substituting the values for μ and σ, we get:
P(X > 10) = 1 - Φ((10 - 0)/7.2801) = 0.00002
So the probability of X being greater than 10 is very small, less than 0.001%.
In the given communication system with Gaussian noise, the signal Θ is a Gaussian distributed random variable Θ∼N(0,1), and the noise W is also a Gaussian distributed random variable W∼N(0,49), independent of the signal. The receiver observes X = 2Θ + W. To provide accurate information, answers should be given to at least 4 decimal places.
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What is a solution for 8.3n+7.53n
\(\huge\text{Hey there!}\)
\(\mathsf{8.3n + 7.53n}\)
\(\large\text{COMBINE the LIKE TERMS}\)
\(\mathsf{= (8.3n + 7.53n)}\)
\(\mathsf{= 8.3n + 7.53n}\)
\(\mathsf{= 15.83n}\)
\(\huge\text{Therefore, your answer should be:}\)
\(\huge\boxed{\mathsf{15.83n}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
how many of each atom in the molecule cunh4cl3
Answer:
The chemical formula of Ammonium nitrate is NH4NO3. It consists of 2 nitrogen atoms, 3 oxygen atoms and 4 hydrogen atoms
Step-by-step explanation: 2.4088 x 10^24 atoms of H. Explanation: +5. how many hydrogen atoms are in one mole of CuNH4Cl3. 1 MOLECULE of CuNH4Cl3 contains 4 H
2.4088 x 10^24 atoms of H
Write the equation of the line that is parallel to y=-3x - 1 and passes through (2, -1)
Answer:
Step-by-step explanation:
y + 1 = -3(x - 2)
y + 1 = -3x + 6
y = -3x + 5
In both the Vendor Compliance at Geoffrey Ryans (A) and
Operational Execution at Arrows Electronics there are problems and
challenges. Integrate the problems and challenges from both
cases.
In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.
One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.
Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.
Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.
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A customer paid $83. 97 to rent a truck for 1
day. The rental company charged $34. 99 per
day and $0. 79 per mile driven. Which
equation could be used to find m, the number
of miles the customer drove the truck?
83+34+99+79= 295
Step-by-step explanation:
The square pyramid below has a volume of 400 cubic inches.
10 cm
10 cm
What is the height of the pyramid?
Answer:
I belive it is 4
Step-by-step explanation:
volume is lenght times with times high and 10 times 10 equals 100 then its 4 equals 400
If i have 37 test left and do 6 a day how many weeks will that take me to be done
Answer:
1 week
Step-by-step explanation:
Abby is adopting kittens from the pet store. if there are 18 kittens, how many ways can she choose 2 kittens?
Answer:
18 divided by 2 is 9 I'm bad at math
what is the length of the radius of the circle 15^2
Answer:
the length of the radius of the circle = 15.
Step-by-step explanation:
which graph of ordered pais shows a proportional relationship? i need help lol
Is (x+1) a factor of f(x) = x^4 - 3x^3 + 2x - 2?
Answer:
\(\text{Yes}\)Explanation:
According to the factor theorem, if we set x+1 to zero, the substitute the x value into the polynomial, if we get a value of zero, then x+1 is a factor of the polynomial, otherwise, it is not
We start by setting x+1 to zero:
\(\begin{gathered} \text{ x+1 = 0} \\ x\text{ = -1} \end{gathered}\)Substitute -1 into the polynomial:
\(\begin{gathered} f(-1)=-1^4-3(-1)^3+2(-1)-2 \\ f(-1)\text{ = 1+3-2-2} \\ f(-1)\text{ = 4-4} \\ f(-1)\text{ = 0} \end{gathered}\)This shows that (x+1) is a factor of the polynomial