Answer:
Step-by-step explanation:
a) vertex = (3, 18).
b) This tells us that the doorway is 8 units high.
c) Y intercept is at (0, 0).
d) x intercepts are (0, 0) and (6, 0).
e) The base is horizontal.
Which formula converts radians to degrees?
Answer:
Below
Step-by-step explanation:
Radians = degrees * pi /180
Radians * 180/pi = degrees
drag the gray arrow so that it is pointing midway between horizontal and vertical, heading downward and toward the right. extend it as far as it will go. what do you notice about the speed of the star as compared to the speed of the star relative to earth?
The speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.
A star moving away from the observer (say on Earth) will have its emitted light red-shifted (move to lower frequency), i.e., the spectrum moving to left if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.
A star moving towards the observer (say on Earth) will have its emitted light blue-shifted (move to higher frequency), i.e., the spectrum moving to the right if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.
A star moving perpendicular to the observer (say on Earth) will have its emitted light will no change with respect to the spectrum of the stationary star.
These are due to the Doppler effect, the equation of frequency detected by the observer as
\(f_{0} = f_{s}\sqrt{\frac{1-\beta }{1+\beta } }\) where \(\beta = \frac{v}{c}\), v the relative velocity of the moving source (the star here), f^s is the frequency of light emitted by the source.
Hence the answer is the speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.
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Hurry please, I am being timed!
Identify the fraction that is not equal to a repeating decimal.
A. 1/9
B. 3/11
C. 3/20
D. 7/12
What value of x will make the triangles similar by the sss similarity theorem? x =
The value of x will make the triangles similar by the sss similarity theorem is 77
Simlarity theorem of trianglesA triangle is a 2-dimensional shape with 3 sides and angles
From the given diagram, we will take the ratio of simlar sides to determine the value of "x"
35/x = 20/44
Cross multiply
20x = 35 * 44
20x = 1540
x = 154/2
x = 77
Hence the value of x will make the triangles similar by the sss similarity theorem is 77
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Answer: The answer is 28
Tamara is creating a model of a rectangle. She has ab26 inches of yellow ribbon to use for the border of the rectangle. She wants the length,/, to be 3 inches greater than the width,w. Which system of equations could tamara use to find the dimnesions of a rectangle that uses all of the ribbon
Answer:
L=8inW=5inStep-by-step explanation:
Step one:
given data
we are told that the border/perimeter of the yellow ribbon is 26in
let the width be x
W=x
and the lenght
L=x+3
Step two:
Required
The expression for the perimeter to find the dimensions of the yellow ribbon given the above condition.
we know that the perimeter of a rectangle is given as
P=2L+2W
26=2(x+3)+2x---------This is the expression required
26=2x+6+2x
26=4x+6
26-6=4x
20=4x
divide both sides by 4
x=20/4
x=5in
The width is 5in
The length is
L=x+3
L=5+3
L=8in
if you independently sample 30 barnacles, and use the proportion of them that are named 'bill' in the sample to estimate the proportion of them in the collection that are named 'bill,' for which value of p would you have the smallest standard error?
To minimize the standard error when estimating the proportion of barnacles named 'Bill' in the collection, you would need to estimate the proportion as 0.5 (50%).
To find the value of p that would result in the smallest standard error, we need to consider the formula for standard error. The standard error for a proportion is calculated as the square root of [(p * (1 - p)) / n], where p is the proportion and n is the sample size.
In this case, if you independently sample 30 barnacles and use the proportion of them named 'bill' to estimate the proportion in the entire collection, the sample size (n) is 30.
To minimize the standard error, we want to find the value of p that maximizes the expression (p * (1 - p)). To do this, we can consider the shape of the function (p * (1 - p)).
The function (p * (1 - p)) reaches its maximum when p is equal to 0.5. Therefore, to have the smallest standard error, you would need to estimate the proportion of barnacles named 'bill' in the collection as 0.5.
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Transform the differential equation
4y′′−3y′+5y=sinh(at)
y(0)=−9
y′=−9
into an algebraic equation by taking the Laplace transform of each side.
____ = ____
Y = _____
The transformed algebraic equation of given differential equations 4y′′−3y′+5y=sinh(at), y(0)=−9, y′=−9 is Y(s) = (s sinh(at) + 36s - 36\(s^{2}\))/(4s³ + 35).
To take the Laplace transform of the differential equation, we use the linearity property of the Laplace transform and the fact that L{y''(t)} = s² Y(s), L{y'(t)} = s Y(s) - y(0), and L{y(t)} = Y(s)/s.
Applying the Laplace transform to each term of the differential equation, we get:
L{4y''(t)} - 3L{y'(t)} + 5L{y(t)} = L{sinh(at)y(t)}
Substituting the Laplace transforms, we get:
4s² Y(s) - 4s y(0) - 4y'(0) - 3(s Y(s) - y(0)) + 5(Y(s)/s) = L{sinh(at)} Y(s)
Since y(0) = -9 and y'(t) = -9, we can substitute these initial conditions to obtain:
4s² Y(s) + 36s + 35Y(s)/s = L{sinh(at)} Y(s) + 36
Multiplying both sides by s, we get:
4s³ Y(s) + 36s² + 35Y(s) = s L{sinh(at)} Y(s) + 36s
Simplifying the equation and factoring out Y(s), we get:
Y(s)(4s³ + 35) = s L{sinh(at)} Y(s) + 36s - 36s²
Dividing both sides by (4s³ + 35), we obtain the algebraic equation:
Y(s) = (s L{sinh(at)} + 36s - 36s²)/(4s³ + 35)
Therefore, the transformed algebraic equation is:
Y(s) = (s sinh(at) + 36s - 36s²)/(4s³ + 35)
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Work out the size of angle PRQ.show working out
Answer:
I got full 3 marks for this but you might have to reword depending on how your mathswatch was set
Step-by-step explanation:
12-2=10
10×180=1800
1800/12=150
=150˚
150/2=75
=75
What is the measure of < c in quadrilateral ABCD?
Answer:
the sum of interior angles of a quadrilateral = 360 degree
Step-by-step explanation:
therefore,
let the angle C be X
124 + 96 + 94 + X = 360
314 + X = 360°
X = 360 - 314 = 46°
angle C = 46°
Answer:
46 degrees
Step-by-step explanation:
how do you find y=-4x+3 on a table
Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 4 year?
In 4 years, joe pays $blank
In interest.
Answer:
He will pay $640 in interest in 4 years.
Step-by-step explanation:
Yearly interest will be $160
because $4,000 x 7% = $160
$160 x 4 years = $640
83/10y-(38/11-11/4y)
Answer:
I think 83 ÷ 10 and it said that it incorrect
Step-by-step explanation:
5. You are buying your first vehicle and your uncle is able to get you a 12% discount on any
vehicle bought from Krumps Kars. The car you want to buy has an original price tag of $7800.
What will be the new price of the vehicle after the discount?
Before you start, should your answer be bigger or smaller than $7800? Bigger/Smaller
It has to be smaller than $7800
I am not sure if this answer is right.
Answer:
7800-936=6864
Step-by-step explanation:
x/12 7800/100
100x=93600
936
What is the center of a circle whose equation is x2 + y2 – 12x – 2y + 12 = 0?
A.) (–12, –2)
B.) (–6, –1)
C.) (6, 1)
D.) (12, 2)
There are 360 girls and 135 boys in a school. What is the ratio of girls to boys expressed in the lowest terms?
Answer: 8:3
Step-by-step explanation:
360:135
We can simplify both, dividing both of them by a common divisor (45)
360/45= 8
135/45= 3
The ratio in lowest terms is 8:3
the ratio of girls to boys in the school, expressed in the lowest terms, is 8:3.
To find the ratio of girls to boys in the school, we divide the number of girls by the number of boys.
Ratio of girls to boys = Number of girls / Number of boys
Ratio of girls to boys = 360 / 135
To express the ratio in the lowest terms, we can simplify the fraction by finding the greatest common divisor (GCD) of 360 and 135 and then dividing both the numerator and denominator by the GCD.
The GCD of 360 and 135 is 45.
Ratio of girls to boys = (360 / 45) / (135 / 45)
Ratio of girls to boys = 8 / 3
So, the ratio of girls to boys in the school, expressed in the lowest terms, is 8:3. This means that there are 8 girls for every 3 boys in the school.
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What is the key underlying assumption of the single index
model?
The key underlying assumption of the single index model is that the return of a security can be explained by the return of a broad market index.
This assumption forms the basis of the single index model, also known as the market model or the capital asset pricing model (CAPM).
In this model, the return of a security is expressed as a function of the return of the market index. The single index model assumes that the relationship between the returns of a security and the market index is linear.
It suggests that the risk and return of a security can be explained by its exposure to systematic risk, which is represented by the market index.
The single index model assumes that the return of a security can be decomposed into two components: systematic risk and idiosyncratic risk.
Systematic risk refers to the risk that cannot be diversified away, as it affects the entire market. Idiosyncratic risk, on the other hand, is the risk that is specific to a particular security and can be diversified away by holding a well-diversified portfolio.
The single index model assumes that the systematic risk is the only risk that investors should be compensated for, as idiosyncratic risk can be eliminated through diversification.
It suggests that the expected return of a security is determined by its beta, which measures its sensitivity to the market index. A security with a higher beta is expected to have a higher return, as it is more sensitive to market movements.
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A family-size container of trail mix contains 40 ounces. This is 250% of the amount in the regular-size container. How many ounces are in the regular-size container of trail mix
The regular-size container of trail mix contains 16 ounces, which is the amount needed to reach 100% without any percentage increase or decrease. To find the number of ounces in the regular-size container, we can set up the equation 250% of x equals 40 ounces, and solving for x gives us the result of 16 ounces.
Let's assume x represents the number of ounces in the regular-size container. According to the problem, the family-size container contains 250% of the regular-size amount, which can be expressed as:
250% of x = 40 ounces
To convert the percentage to a decimal, we divide by 100:
2.5 * x = 40
Solving for x, we divide both sides of the equation by 2.5:
x = 40 / 2.5
x = 16
Therefore, the regular-size container of trail mix contains 16 ounces.
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help please will mark brainliest
Answer:
1.) 20z^5
2.) 8m^5 · 6p^7 · 3mp^0
Step-by-step explanation:
4z^3 · z^2 · 5z
first, multiply 4z · 1z = 4z and add the exponents 3 + 2 = 5
4z^5 · 5z
multiply 4z · 5z and keep the exponents
20z^5
2m^3p^4 · 4m^2p^3 · 3mp^0
find just the "m" variables: 2m^3 · 4m^2 and same as before multiply then add the exponents = 8m^5
now do the same for the "p" variables: 3p^4 · 2p^3 = 6p^7
and for the "mp" variable: 3mp^0
put it all together and this is the simplest form because we don;t know the values of the variables:
8m^5 · 6p^7 · 3mp^0
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
please help!! will mark brainlyest
Given a sample mean of 27 and a sample standard deviation of 3.5 computed from a sample of size 36, find a 95% confidence interval on the population mean.
A. [25.8158, 28.1842]
B. [25.8170, 28.1830]
C. [26.0142, 27.9858]
D. [26.9930, 27.0070]
The correct for confidence interval is A. [25.8158, 28.1842].
What is confidence interval?The percentage (frequency) of acceptable confidence intervals that include the actual value of the unknown parameter is represented by the confidence level. In other words, a limitless number of independent samples are used to calculate the confidence intervals at the specified level of assurance.
To find the 95% confidence interval for the population mean, we can use the formula:
Confidence Interval = Sample Mean ± (Critical Value) × (Standard Deviation / √(Sample Size))
Since the sample size is large (n = 36), we can use the z-score critical value for a 95% confidence level. The z-score for a 95% confidence level is approximately 1.96.
Plugging in the values:
Sample Mean = 27
Standard Deviation = 3.5
Sample Size = 36
Critical Value (z-score) = 1.96
Confidence Interval = 27 ± (1.96) × (3.5 / √36)
Calculating the confidence interval:
Confidence Interval = 27 ± (1.96) × (3.5 / 6)
Confidence Interval = 27 ± (1.96) × (0.5833)
Confidence Interval = 27 ± 1.1417
Confidence Interval = [25.8583, 28.1417]
Therefore, the correct answer is A. [25.8158, 28.1842].
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suppose each license plate has three letters followed by three digits. megan drives a car with the license plate uwu144. how many license plates differ from megan’s at exactly one position?
There are 11,390,625 license plates that differ from Megan's at exactly one position.
To do this, we will use the following formula:
Number of license plates that differ at exactly one position = Number of different options for the first position × Number of different options for the second position × Number of different options for the third position × Number of different options for the fourth position × Number of different options for the fifth position × Number of different options for the sixth position
For the first position, there are 25 different options (26 letters in the alphabet - 1 for the letter "u" that is already in Megan's license plate).
For the second position, there are 25 different options (26 letters in the alphabet - 1 for the letter "w" that is already in Megan's license plate).
For the third position, there are 25 different options (26 letters in the alphabet - 1 for the letter "u" that is already in Megan's license plate).
For the fourth position, there are 9 different options (10 digits - 1 for the digit "1" that is already in Megan's license plate).
For the fifth position, there are 9 different options (10 digits - 1 for the digit "4" that is already in Megan's license plate).
For the sixth position, there are 9 different options (10 digits - 1 for the digit "4" that is already in Megan's license plate).
So, the total number of license plates that differ from Megan's at exactly one position is:
25 × 25 × 25 × 9 × 9 × 9 = 11,390,625.
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Find the volume of the rectangular prism.
11 cm
11 cm
11 cm
Volume
[?] cm
cm
Answer: 1331
Step-by-step explanation: v=lwh
The volume would be 1,331 cm cubed. I hope this helps, have a good day!
x (27-x) = 182
Please help me by solving this!
We are provided with a expression as follows ;
\({\sf x(27-x)=182}\)Can be further written as ;
\({: \implies \quad \sf 27x-{x^{2}}=182}\)
\({: \implies \quad \sf {x^2} -27x + 182=0}\)
Using splitting the middle term we have ;
\({: \implies \quad \sf {x^2} - 13x-14x+182=0}\)
\({: \implies \quad \sf x(x-13)-14(x-13)=0}\)
\({: \implies \quad \sf (x-13)(x-14)=0}\)
Case I :-When , (x-13)=0 , then clearly x = 13
Case II :-When , (x-14)=0 , then clearly x = 14
Hence , The required values of x are 13 and 14 respectively
excel displays the error message ____ in cells to indicate a divide by zero error.
Excel displays the error message "#DIV/0!" in cells to indicate a divide-by-zero error. This occurs when a formula attempts to divide a value by zero, which is mathematically undefined. To resolve this error, you can check the input values and formulas in your spreadsheet to ensure they are valid and avoid division by zero.
In Excel, when a formula attempts to divide a value by zero, the software will display the error message "#DIV/0!" in the affected cells. This is a helpful indication to the user that the calculation has failed and that the formula needs to be adjusted. It is important to note that this error message can impact other calculations in the spreadsheet, so it is important to resolve it as soon as possible to prevent inaccuracies in the data. Excel provides several ways to handle divide-by-zero errors, such as using the IFERROR function or adjusting the formula to include an IF statement to avoid errors.
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find the smallest number that has1 ,2 ,3 ,4 ,5 and as factors. what is the special name for this number?
The smallest number that has 1, 2, 3, 4, 5 as factors is 60. This number is called the LCM (Least Common Multiple) of the given numbers.
The smallest number that has 1, 2, 3, 4, 5 as factors is 60. This number is called the LCM (Least Common Multiple) of the given numbers.The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both of these numbers. We can find the LCM of more than two numbers by following the below procedure:Firstly, find the LCM of two numbers.
This will be the smallest number that is a multiple of both these numbers. Then, find the LCM of this number and the third number. This will be the smallest number that is a multiple of all the three numbers. Repeat the same process for other numbers until we have found the LCM of all the given numbers.
Here, the given numbers are 1, 2, 3, 4, and 5.LCM of 1 and 2 is 2.LCM of 2 and 3 is 6.LCM of 6 and 4 is 12.LCM of 12 and 5 is 60.
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Which table represents the solution of the function?
Answer:
multiple choice answers?
Step-by-step explanation:
For the binomial distribution, which formula finds the standard deviation? Choose the correct answer below: a)np b)npq c)Vnp d)Vnpa
For the binomial distribution, √npq formula finds the standard deviation.
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Willie runs 2 miles in 18 minutes. If Willie runs at the same rate, how many miles can he run in 90 minutes?
Answer:
if Willie runs 2 miles in 18 minutes
then he will run J miles in 90min
cross multiply or put in ratio form i.e 2/18=J/90
2*90=18*J
180=18J
J=180/18
J=10 miles
*IM CONFUSED??? HELP ME PLEASEE !! , MAKE SURE ITS THE CORRECT ANSWER ITS FOR AN ASSESSMENT ! *
Answer:
First option: y = 5/6x + 12
Step-by-step explanation:
In the slope-intercept form, y = mx + b:
m = represents the slope
b = represents the y-coordinate of the y-intercept, (0, b).
In your given question, it states that the slope (m) = 5/6, and the y-intercept is (0, 12). This means that the value of (b) for your linear equation is the y-coordinate of (0, 12). Therefore, the correct answer is:
y = 5/6x + 12
what initial value might you consider with that slope? write a linear equation representing your example.
The initial value that I might consider with that slope is the y-intercept. The y-intercept is the point where the line crosses the y-axis, and it is the value of y when x is 0. So, if the slope is 2, then the y-intercept might be 1. This would give us the following linear equation:
y = 2x + 1
This equation represents a line that has a slope of 2 and a y-intercept of 1.