Hello,
The slope-intercept form of a linear equation is:
y = mx + b
where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
To write the equation of the line with slope m = -1 that passes through the point (4, 5), you can use the point-slope form of a linear equation, which is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line. Plugging in the values, we get:
y - 5 = -1(x - 4)
This simplifies to:
y - 5 = -x + 4
Finally, we can rearrange the terms to put the equation in slope-intercept form:
y = -x + 9
This is the equation of the line with slope m = -1 that passes through the point (4, 5).
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4. HINT: Remember the "square" means 90 degrees
25 points
The circle with center O has a circumference of 36 units. What is
the length of minor arc AC?
A. 9 units
B. 12 units
C. 18 units
D. 36 units
At a Chinese buffet, there are five
entree selections. If two entrees may be
selected, how many ways may the
plates be filled?
Answer:
I know I'm a little late, but there are 10 different ways the plate can be filled.
Step-by-step explanation:
Formula:
What is the y-intercept of the graph of the equation y =(2x−3)^2+7
Answer:
(0,16)
Step-by-step explanation:
Hi there!
The y intercept is the value in which the parabola passes through the y axis
Therefore, the value of x at the y intercept is 0
So to find the value of the y intercept, substitute x as 0 in the equation.
y=(2x-3)^2 + 7
If x=0, then:
y=(2(0)-3)^2 + 7
Multiply
y=(0-3)^2 + 7
Subtract 3 from 0
y=(-3)^2 + 7
Raise -3 to the second power
y= 9 + 7
Add 9 and 7 together
y = 16
So the y intercept is the point (0,16)
Hope this helps!
What value of z should we use when making a 93% confidence interval for p?.
The crucial value (z) relies on the desired level of confidence and is predicated on a normal distribution when creating a confidence interval for a proportion (p) with a confidence level of 93%.
A 93% confidence level in this instance translates to an alpha level of 0.07 (1 - 0.93 = 0.07) that is split evenly between the two tails. In the usual normal distribution table, we search for the value that falls within the range of 0.07 to find the proper z-value. A 93% confidence level corresponds to a z-value of roughly 1.81. The confidence interval for the proportion p may be calculated using this number and provides a range where the genuine proportion is like to fall.
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How can you tell from the prime factorization of the of two numbers if their LCM is the product of the two numbers
To determine if the LCM of two numbers is the product of the two numbers using their prime factorization, you need to check if the numbers are coprime.
Coprime numbers have no common prime factors except for 1. If the numbers are coprime, their LCM will be equal to the product of the two numbers.
To tell if the LCM of two numbers is the product of the two numbers, you need to compare the prime factorization of the two numbers. If the prime factors of both numbers are unique (meaning they do not share any common factors), then the LCM will be the product of the two numbers. However, if the two numbers share some common prime factors, then the LCM will have to include those factors at their highest power. So, to find the LCM of the two numbers, you need to take the highest power of each prime factor that appears in either number and multiply them together. If the product of these highest powers matches the product of the two numbers, then the LCM is equal to the product of the two numbers.
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The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
Answer:
The loudness of the dinner conversation is 40 dB
Step-by-step explanation:
Loudness in dB = 10\(Log_{10}\) \((\frac{I}{I_{o} })\)
where \(I_{0}\) is the least intense sound a human can hear = \(10^{-12}\) W/m^2
For a dinner conversation with sound intensity of \(I\) = \(10^{-7}\) W/m^2
Loudness = 10\(Log_{10}\) \((\frac{10^{-7} }{10^{-12} })\) = 10\(Log_{10}\) \(( 10^{4} )\) = 40 dB
Answer:
50 Db
Step-by-step explanation:
Find the equation of the line that
- 4 and
contains the point (4,5).
?
y =??
Answer:
Your line wil be y = -2x + 13
Step-by-step explanation:
Look above, to see the graph. ⤴⤴⤴
I hope this helps ya out friend :)
two point charges are placed on the x-axis as follows: charge q1 = 3.99 nc is located at x= 0.205 m , and charge q2 = 5.01 nc is at x= -0.302 m .
Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.
The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.
In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.
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In simplified form, we can write $\sqrt[3]{\sqrt[3]{54}+\sqrt[3]{250}}$ as $a\sqrt[b]{c}$, where $a$, $b$, and $c$ are all positive integers. what is $a+b+c$?
The sum of a+b+c = 307.
According to the statement
\($\sqrt[3]{\sqrt[3]{54}+\sqrt[3]{250}}$\) is written as \($a\sqrt[b]{c}$\)
now we find the sum of these
in these terms a=54 and b=3 and c=250
Then
a+b+c = 54+3+250
a+b+c = 307
So, The sum of a+b+c = 307.
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Write an equation for a line with a slope of 3 and crosses the y-axis at the orgin.
mary is having her living room and bedroom painted. designs usa charges $60.00 to evaluate the space plus $35.00 per hour of labor. splash of color charges $55.00 per hour with no initial fee. which of the following are true?
Splash of Color is the more cost-effective option for Mary if the total number of hours for painting is less than 3 hours. Designs USA is more cost-effective if the total number of hours for painting is 2 hours or more.
Let's denote the total number of hours for painting as "h".
Designs USA charges a $60.00 evaluation fee plus $35.00 per hour of labor. Therefore, the cost for Designs USA can be calculated as:
Cost_DesignsUSA = $60.00 + $35.00 * h
Splash of Color charges $55.00 per hour with no initial fee. Hence, the cost for Splash of Color can be calculated as:
Cost_SplashofColor = $55.00 * h
To determine which option is more cost-effective, we need to compare the two costs. Therefore, we need to find the value of "h" where the costs are equal:
$60.00 + $35.00 * h = $55.00 * h
Simplifying the equation:
$60.00 = $20.00 * h
h = $60.00 / $20.00
h = 3
So, if the total number of hours for painting is less than 3 hours, Splash of Color is more cost-effective. If the total number of hours is 3 hours or more, Designs USA becomes the more cost-effective option for Mary.
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the locus of points in a plane
We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:
(5 + (-3)) / 2 = 2 / 2 = 1
So this locus is the single vertical line y = 1.
Answer:
y = 1.
Step-by-step explanation:
We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:
(5 + (-3)) / 2 = 2 / 2 = 1
So this locus is the single vertical line y = 1.
x-14<-6x+7≤13 solve for x
Answer:
−1 ≤ x < 3
Step-by-step explanation:
Solve the system of inequalities.
X must be equal to or greater then -1 and smaller then 3.
You options are -1, 0, 1, & 2
In triangle ABC, what is the measure of angle C if A = 120°, a = 25, and b = 24?
Round the answer to the nearest hundredth.
Answer:
what is the area of the trapezoid
Three adult kangaroos weigh 435 pounds.
If each adult weighs the same, how much
would one adult kangaroo weigh?
Answer:
um 145 lbs
Step-by-step explanation: basic math bruv
Answer:
145 lbs
Step-by-step explanation:
What is circumference in relation to radius?
Which graph shows a set of ordered pairs that represents a function?
On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3).
On a coordinate plane, solid circles appear at the following points: (negative 5, 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3).
A relation's origin is represented as an ordered pair.
(-5, -2), (-4, -4), (-3, 4), (-2, 2), (2, -2) are all ordered pairs that reflect the same function (4, 3)
What is an ordered pair?A composite of the x coordinate and the y coordinate, an ordered pair has two values that are stated in a defined order between parenthesis. In order to have a better understanding of what is being shown on the screen, it is helpful to identify a point on the Cartesian plane.
Either of the following conditions must be true for an ordered pair to constitute a function:
Every x-value has precisely one matching y-value, or "one-to-one."
This is a many-to-one relationship, meaning that several x-values map to the same set of y-values.
The ordered pair is not a function if and only if both of the following are false
A one-to-many relationship means that for every x-value, there may be many y-values.
Many x-values map to many y-values; the relationship is many-to-many.
Only the ordered pair (5, -2) meets the criteria for a function out of the possibilities (5, -4), (3, 4), (2, -2), (4, 3), and (-4, -2).
This is because no x-values in its range have more than one associated y-value.
One-to-many and many-to-many ordered pairings make up the rest of the set.
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CQ
Which graph shows a set of ordered pairs that represents a function? On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3). On a coordinate plane, solid circles appear at the following points: (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1). Mark this and return
if i'm given a list of values and asked to graph the average and standard deviation, what kind of graph should i use
To graph the average and standard deviation of a given list of values, you should use a bar graph or a histogram.
1. Calculate the average (mean) of the given list of values.
2. Calculate the standard deviation of the given list of values.
3. Create a bar graph or histogram with two bars.
4. Label the first bar as "Average" and set its height to the calculated average value.
5. Label the second bar as "Standard Deviation" and set its height to the calculated standard deviation value.
This graph will visually represent the average and standard deviation of the given list of values.
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Which table of values corresponds to the graph below?
On a coordinate plane, a line goes through points (0, negative 2) and (2, 0).
The table of values corresponding to the linear function that goes through (0, -2) and (2,0) is has points (x,y) in the following format:
(x, x - 2).
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line goes through (0,-2), hence the y-intercept is b = -2. The slope is given by:
m = (0 - (-2))/(2 - 0) = 2/2 = 1.
Hence the equation is:
y = x - 2.
Thus the points on the table are related as follows:
(x, x - 2).
For example
x f(x)
0 -2
1 -1
2 0
3 1
4 2
5 3
And so on...
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Correctly write 36.2 x 103 in scientific notation.
Chau has ridden 22 miles of a bike course. The course is 44 miles long. What percentage of the course has Chau ridden so far?
Answer:50%
Step-by-step explanation:
50% brainliest pwease
What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%
Answer:
im going to say c 55%
Step-by-step explanation: please let me know if its wrong so i can fix it thanks
The ratio of oranges to apples in a basket is 3:4. If 6 oranges were taken from the basket and 6 apples were added to the basket, the ratio of the number of oranges to apples would be 1:6. How many more apples than oranges are there in the original basket?
Answer:
There was 9 oranges and 12 apples in the original basket
Step-by-step explanation:
3:4
9:12
subract 6 oranges and add 6 apples
3:18
divide by 6
1:6
How would you write the equation with a slope of 2/3 and a y-intercept of -3
Answer:
y=2/3x-3
Step-by-step explanation:
using y=mx+c
since the intercept is negative,it affects the positive sign
Show that the credit card number
4306 0912 4887 1457 is valid/invalid.
Explain how you know.
An item on sale costs 15% of the original price. If the original price was $20, what is the sale price?
Timed again, 100 points
remember: ONLY 5 stars, thanks, and brainliest IF correct!
Answer:
17
Step-by-step explanation:
The original price was $20, so the discount price would be 20 * 15% = $3.
Therefore, the sale price would be 20 - 3 = $17.
URGENT Find the height of a parallelogram that has an area of 10 1/2 in² and a base of 3/4 in.
The height of the parallelogram with an area of 10½ is derived to be 14 inches
Area of parallelogramIn calculating for the area of parallelogram, the base is multiplied by the height, as the same way for calculating the area of a rectangle.
Given the area of the parallelogram to be 10½, and its base is 3/4 then we can calculate for its height as follows:
10½ = 3/4 × height
21/2 = 3/4 × height
by cross multiplication;
height of the parallelogram = 21/3 × 4/2
height of the parallelogram = 7 × 2
height of the parallelogram = 14 inches
Therefore, the height of the parallelogram with an area of 10½ and base 3/4 is derived to be 14 inches
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the mean score of the insurance commission licensure examination is 75 with a standard deviation of 5. what minimum percentage of the data set that lies between 50 and 100
Minimum percentage: 96% of the data set lies between 50 and 100.
The value of k:
Mean – (k) (sd) = lower limit
75 – 5K - 50
75 – 50 = 5k
25 = 5k
K = 5
For the percentage, we are using:
1 – 1/k^2.
1 - 1/ 25 = 24/25 = 96%
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Tony is working on an arithmetic sequence where t(1) =4 and t(8) =67 Write the explicit equation and recursive equation for this sequence. Is 500 a term of the sequence? Explain why or why not.
This can go on forever, we can then establish the recursive formula which states:
t(n+1)=t(n)+dort(n)=t(n-1)+dExplicit formula:t(2)=t(1)+d
t(3)=t(2)+d, but t(2)=t(1)+d
t(3)=t(1)+d+d
t(3)=t(1)+2d
t(4)=t(1)+3d
t(n)=t(1)+(n-1)dWe can calculate d for these equations:t(8)=t(1)+7d67=4+7d7d=63d=9Explicit relation:t(n)=4+9(n-1)t(n)=9n-5Recursive relation:t(n)=t(n-1)+9t(500)=9(500)-5=4500-5=4495Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 18, 14, 25, 17, 28, 15, 20.
a. Calculate the sample mean and the sample deviation.
b. Construct the 80% confidence interval of the population mean.
c. Construct the 90% confidence interval of the population mean.
d. What happens to the margin of error as the confidence interval increases from 80 to 90 percent?
The sample mean and the sample deviation are 19.88 and 4.88
The 80% confidence interval for the population mean is (16.61, 23.15)
The 90% confidence interval for the population mean is (17.03, 22.73)
The confidence interval decreases
a. Calculate the sample mean and the sample deviation.From the question, we have the following parameters that can be used in our computation:
22, 18, 14, 25, 17, 28, 15, 20.
So, we have
Mean, x = (22 + 18 + 14 + 25 + 17 + 28 + 15 + 20)/8
x = 19.88
Using a graphing tool, we have the sample deviation to be
σ = 4.88
b. Construct the 80% confidence interval of the population mean.The margin of error (E) is calculated as:
E = t * s/√σ
Where t = 1.895 at 80% confidence interval
So, we have
E = 1.895 * 4.88/√8
E = 3.27
The confidence interval is
CI = x ± E
So, we have
CI = 19.88 ± 3.27
CI = (16.61, 23.15)
c. Constructing the 90% confidence interval of the population meanThe margin of error (E) is calculated as:
E = t * s/√σ
Where t = 1.65 at 90% confidence interval
So, we have
E = 1.65 * 4.88/√8
E = 2.85
The confidence interval is
CI = x ± E
So, we have
CI = 19.88 ± 2.85
CI = (17.03, 22.73)
d. What happens to the margin of error as the confidence interval increasesWhen the margin of error as the confidence interval increases, the confidence interval decreases from 80% to 90%.
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