Answer: g(4n+5) = 16n^2 + 40n + 30
Step-by-step explanation:
g(n)=n^2-4
h(n)=4n+5
find g°h
g°h is g(4n+5) = (4n+5)^2 + 5
g(4n+5) = (16n^2 + 40n + 25) + 5
g(4n+5) = 16n^2 + 40n + 30
Find the area and perimeter of
the parallelogram:
17ft
12ft
15ft
Step-by-step explanation:
The area = base × height
= 12 × 17 = 204
the perimeter = 2(17 + 15) = 2 × 32 = 64
please give me a brainliest answer
The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²
Answer:
Step-by-step explanation:
Lateral surface area of cube = 4a²
4a² = 400
a² = 400÷4
a² = 100
a = √100 = √10*10
a = 10 cm
Total surface area = 6a²
= 6 * 10²
= 6* 100
= 600 cm²
Answer:
A
Step-by-step explanation:
I believe that I did this before.
20% off $115 7.5% sales tax what is the final price of the coffee table
Answer:
Therefore the final price of the table coffee which is on sale by 20% with a sales tax of 7.5% is $98.9
Step-by-step explanation:
it is $98.9
Answer:
$98.9
Step-by-step explanation:
It takes 5 minutes for 7 people to drink 25 pints of water.At this rate,how long would it take 15 people to drink 160 pints of water
Answer:
14.9 min
Step-by-step explanation:
r=rate
r25=5*7
r25=35
r=35/25
r=1.4
substitution
r160=t*15
t=time
r=1.4
1.4*160=t*15
224=t*15/15
224/15=t
14.9 min
HELP AGAIN PEEPS!
:D
Answer:
4x+6y or 2*(2x+3y)
Step-by-step explanation
4x+6y
if you want to factorize it
2*(2x+3y)
please help 17 points ssry I'm not really that smart.
Answer:
3/10 or 0.3
Step-by-step explanation:
Pls help me I am so bad at maths
The length of his rectangular field is 35 metres.
How to find the length of the field?Farmer Fred has a rectangle field. 2 / 5 of the field is planted with carrots and the rest is for cabbages.
Therefore, the width of the field is 13 metres. The length of the field can be found as follows:
area of the carrot section = 182 m²
let
x = area of the field.
Therefore,
2 / 5 x = 182
cross multiply
2x = 910
x = 910 / 2
x = 455 m²
Therefore,
length of the field = 455 / 13
length of the field = 35 metres.
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the life of light bulbs is distributed normally. the variance of the lifetime is 625 and the mean lifetime of a bulb is 520 hours. find the probability of a bulb lasting for at most 549 hours. round your answer to four decimal places.
Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.
Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.
To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).
The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.
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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%
Explanation:Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.
To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.
We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.
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Which system of equations is represented by the graph?
What’s the standard form of each equation
Answer: The answer is 8x - 5y = -7
Hope this helps! :)
You are about to use ENA (Exponential Moving Average as a forecasting method to guide you on tracking stock price movements. If you dec de to increase the value of the smoothing factor, what would happen to the weights assigned to pastato price values?
Increasing the smoothing factor in Exponential Moving Average gives more weight to recent price values and makes the forecast more responsive to short-term movements.
When using Exponential Moving Average (EMA) as a forecasting method for stock price movements, the smoothing factor determines the weight assigned to past actual price values.
Increasing the value of the smoothing factor reduces the weight given to older price values and increases the weight given to more recent price values.
The formula for calculating EMA is as follows:
EMA(t) = \(\alpha \times Price(t) + (1 - \alpha ) \times EMA(t-1)\)
Here, α represents the smoothing factor, and Price(t) is the actual price at time t. The smoothing factor determines how quickly the weight of past prices decays as new prices are incorporated into the EMA calculation.
By increasing the value of the smoothing factor, the influence of older price values diminishes more rapidly. This means that the EMA will react more quickly to recent price movements, leading to a higher sensitivity to short-term changes. The EMA will closely track the recent price trends, making it more responsive to current market conditions.
However, it's important to note that increasing the smoothing factor excessively can also make the EMA more volatile and prone to noise, as it will react too quickly to short-term fluctuations and might overemphasize recent data at the expense of long-term trends.
In conclusion, increasing the smoothing factor in Exponential Moving Average gives more weight to recent price values and makes the forecast more responsive to short-term movements.
It can be beneficial when there is a need to capture and react quickly to the latest market trends. However, it should be used cautiously, as excessively high values may introduce more volatility and noise into the forecast.
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express in exponential form (i)2\3×2/3×2/3×2/3
Answer:
Step-by-step explanation:
\(\frac{2}{3}\times \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3}=(\frac{2}{3})^4\)
Please help! Find the value of x in the diagram below, and show work.
According to the Side-Angle-Side Theorem (SAS), two triangles are congruent if their two sides and the angle between them are equal to those of another triangle's two sides and angle.
The ASA Theorem: What is it?The two triangles are said to be congruent by the ASA rule if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle. l m Q = 130° In ABC ABC = 180° - Q ABC = 50° BAC = 90° In ABC, ABC + BAC + ACB = 180° ACB = 180° - (90 + 50) ACB = 40° x = 40° (vertAccording to the Side-Angle-Side Theorem (SAS), two triangles are congruent if their two sides and the angle between them are equal to those of another triangle's two sides and angle.Knowing two sides as well as the angle between them is known as "SAS." Calculate the unknown side using the Law of Cosines, then use the Law of Sines to determine the smaller of the two other angles, and then use the three angles added together to determine the final angle.To learn more about SAS Theorem refer to:
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Which of the following are true statements about David Hilbert?
He invented the point.
He was a German mathematician.
n He developed Hilbert's axioms.
He wrote a blography on Euclid.
Hilbert's Improvements to geometry are still used in textbooks today.
Answer:
he invented the point
he was a German mathematician
he Hilbert's improvements to geometry are still used in textbooks today
he developed Hilbert's axioms
Step-by-step explanation:
Answer:
He was a German mathematician.
If only one is true then you're good to go.
Whoops never mind.. :/
3 (x+4) - 5 (x-1) -3
C. x > 1
D. x 6
HELPPPP
Answer:
x > 6
Step-by-step explanation:
Given
3(x + 4) - 5(x - 1) < 5 ← distribute and simplify left side
3x + 12 - 5x + 5 < 5
- 2x + 17 < 5 ( subtract 17 from both sides )
- 2x < - 12
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative value.
x > 6
QUESTION FOR FOR LIH04
What is 2 1/4 divided by 4????
1. 5/8
2. 1/10
3. 10
4. 1 3/5
Step-by-step explanation:
2 1/4 = 9/4
9/4 ÷ 4
9/4 x 1/4
9/16
so neither of these answers?
The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + z2 + z – 24.
The product of (4z² + 7z – 8) and (–z + 3) is -4z³ + 5z² + 29z - 24
How to find product of expressions(4z² + 7z – 8) and (–z + 3)
= -4z³+ 12z² - 7z² + 21z + 8z - 24
collect like terms= -4z³ + 5z² + 29z - 24
Therefore, the product of (4z² + 7z – 8) and (–z + 3) is -4z³ + 5z² + 29z - 24
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1 1/2 x 2 2/3
im not quite sure how to solve this can someone help?
Firstly, you turn 2 2/3 into an improper fraction, which will become
=4/3
Lastly, you multiply them, which would be 11/2 x 4/3=22/3=7 1/3
Step-by-step explanation:
the answer will be
11 x 22 / 2x3
that will give us
242/6
reducing it to the lowest term by dividing it by two that will give us 121 / 3
121 / 3 will give us 40.33
Historically, the members of the chess club have had an average height of 5′ 6′′ with a standard deviation of 2". What is the probability of a player being between 5′ 2′′ and 5' 6"? (Submit your answer as a whole number. For example if you calculate 0.653 (or 65.3% ), enter 65. )
The probability of approximately 48% that a player will have a height between 5'2" and 5'6".
To calculate the probability of a player being between 5'2" and 5'6" given that historically, the members of the chess club have had an average height of 5'6" with a standard deviation of 2", we can use the standard normal distribution.
First, we need to convert the heights to z-scores using the formula:
z = (x - μ) / σ
where x is the height we want to find the probability for, μ is the mean height, and σ is the standard deviation.
For 5'2":
z = (62 - 66) / 2 = -2
For 5'6":
z = (66 - 66) / 2 = 0
Next, we can use a standard normal distribution table or calculator to find the area under the curve between these two z-scores.
Using a standard normal distribution table, we can find that the area to the left of z = -2 is 0.0228 and the area to the left of z = 0 is 0.5. Therefore, the area between z = -2 and z = 0 is:
0.5 - 0.0228 = 0.4772
Multiplying this by 100 gives us a probability of approximately 48% that a player will have a height between 5'2" and 5'6".
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True/False. what body of water do these archaeologists believe the cities of sodom and gomorrah were near?
True/False question cannot be answered with a "main answer". However, the archaeologists do believe that the cities of Sodom and Gomorrah were near the Dead Sea.
The location of Sodom and Gomorrah is a subject of debate among archaeologists and scholars. Some believe that they were located near the Dead Sea, while others propose different locations. However, the prevailing theory is that they were situated near the Dead Sea, which is a salt lake bordered by Jordan to the east and Israel and Palestine to the west.
The true/false question you have posed cannot be answered with a long answer as it is a binary question. However, if you want to know more about the archaeology and history of Sodom and Gomorrah, there is a wealth of information available online and in scholarly articles and books. The story of Sodom and Gomorrah is a biblical tale that recounts the destruction of two cities by God due to their wickedness. The story appears in both the Book of Genesis in the Hebrew Bible and in the Quran. Archaeological evidence suggests that there were settlements in the area of the Dead Sea around the time the story of Sodom and Gomorrah is said to have occurred, but there is no conclusive proof that these were the cities referred to in the Bible. Some scholars argue that the story is a myth, while others believe that there is a historical basis for it. Regardless of the veracity of the tale, the story of Sodom and Gomorrah has captured the imagination of people for centuries and continues to be a subject of scholarly inquiry.
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Find the value of the lettered angles in each of the following ( see image ).
Please show workings.
The only given Angles are 40° , 60° , 10°
Answer:
Same arc intercepted, the angles are equal
t = 10°u = 60°v = 40°Cyclic quadrilateral has supplementary opposite angles
s + v + 60° + 10° = 180°s + 40° = 110°s = 70°And s and r intercept same arc, therefore:
r = s = 70°Which expression is not equivalent to 3(n + 6)
Answer:
3n + 6
Step-by-step explanation:
So the simplified version is 3n + 18
3n + 6 X
3n + 18 = 3n + 18
2n + 8 + n + 10 = 3n + 18
2(n + 6) + 6 + n = 3n + 18
All of them except the first are EQUIVALENT.
Answer:
3n+6 is not equivalent.
Step-by-step explanation:
What is 17,113 to the rounded nearest hundred
Answer:
17,100
Step-by-step explanation
The hundreds place in the number is 113, if you round 113 you get 100 because it is closer to 100 than it is to 200
Use the function boxplot to draw a box plot of the rear width (the variable RW) by species (the variable sp). Attach your R code.
In the box plot you made above, on the x-axis you should see two tick labels B and 0 . Which of the following argument can be used to adjust the size of them? (These arguments all accept numerical values.)
(A) 1ty (B) Iwd (C) cex. 1ab (D) cex.axis
The argument can be used to adjust the size of the two tick labels B and 0 on the x-axis is cex.axis of the boxplot. Option D is the correct choice.
To create a boxplot of rear width (RW) by species (sp) using the boxplot function in R, you can use the following R code:
```R
boxplot(RW ~ sp, data = your_data)
```
In this code, replace 'your_data' with the name of your data frame containing the variables RW and sp.
Regarding the options for adjusting the size of the tick labels (B and 0) on the x-axis, the correct argument is (D) cex.axis. You can use this argument to set the size of the tick labels as follows:
```R
boxplot(RW ~ sp, data = your_data, cex.axis = desired_size)
```
Replace 'desired_size' with a numerical value to set the size of the tick labels.
The answer is: (D) cex.axis
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A basketball player scored 14 times during one game. She scored a total of 18 points, two for each two-point shot and one for each free throw. How many two-points shots did she make? How many free throws?
Answer:
i. 4 two-point shots
ii. 10 free throws
Step-by-step explanation:
Number of times scored = 14
total points made = 18
let her two-point shot be represented by x, and her free throw by y.
So that;
x + y = 14 .......... 1
But, two points for each two-point shot and one point for each free throw;
2x + y = 18 ......... 2
Subtract equation 2 from 1
2x - x + y - y = 18 - 14
x = 4
substitute the value of x in equation 1
4 + y = 14
y = 14 - 4
y = 10
x= 4, y = 10
Thus, she made 4 two-point shots, and 10 free throws.
Answer:
4 two-pointers and 10 free throws
Step-by-step explanation:
18 - 14 = 4
4 two-pointers = 8
10 free throws = 10 points
Find a sinusoidal function with the following four attributes: (1) amplitude is 10, (2) period is 5, (3) midline is y = 31, and (4) ƒ(3) = 41. f(x) = =
The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.
To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:
f(x) = A * sin(Bx + C) + D
where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.
Amplitude: The given amplitude is 10. So, A = 10.
Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.
Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.
f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:
41 = 10 * sin(2π/5 * 3 + C) + 31
10 * sin(2π/5 * 3 + C) = 41 - 31
10 * sin(2π/5 * 3 + C) = 10
sin(2π/5 * 3 + C) = 1
To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.
2π/5 * 3 = π/2 - C
6π/5 = π/2 - C
C = π/2 - 6π/5
Now we have all the values to construct the sinusoidal function:
f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31
Simplifying further:
f(x) = 10 * sin(2π/5 * x - 2π/10) + 31
f(x) = 10 * sin(2π/5 * x - π/5) + 31
Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.
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Hi everyone. I need help with my maths homework
Answer:
100pi
Step-by-step explanation:
4*pi*5^2
=100pi
Answer:
100π
Step-by-step explanation:
SA = 4π(5²) = 25 · 4π or 100π
the sample covariance between and is the covariance measures the amount that and vary away from the mean simultaneously . the covariance is maximized when and are perfectly correlated. what is this maximal value? (hint: consider what happens when , or use the cauchy-schwarz inequality)
The maximal value of the sample covariance is \(sx*sy\), which represents the highest correlation possible between X and Y.
The formula for the sample covariance between X and Y is given by \(cov(X,Y) = (1/(n-1)) Σ (xi - xmean)(yi - ymean)\). The maximal value for the sample covariance is equal to the product of the standard deviations of X and Y, which can be calculated using the formula \(sx*sy = (1/(n-1)) Σ (xi - xmean)^2 * (1/(n-1)) Σ (yi - ymean)^2\). Using the Cauchy-Schwarz Inequality, we can know that \(cov(X,Y) < = sx*sy\). Therefore, the maximal value of the sample covariance is sx*sy, which represents the highest correlation possible between X and Y.
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)The area of a rectangular painting is 4636 cm 2 .
If the width of the painting is 61 cm , what is its length?
The length of the rectangular painting is equal to 76 cm.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The area of a rectangular painting is 4636 cm². The width of the painting is equal to 61 cm.
The length of the painting is calculated as,
Area of rectangle = Length x Width
4636 = Length x 61
Length = 4636 / 61
Length = 76 cm
The length is 76 cm for the rectangle.
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