How to find the measure of A
A circle is centered at (−8, −13) and has a radius of 13. What is the equation of the circle? Enter the equation using lowercase variables x and y in the box.
The equation of the circle is (x + 8)²+ (y + 13)² = 169.
A circle is a two-dimensional geometric shape that is defined as the set of all points in a plane that are at a fixed distance (called the radius) from a given point called the centre.
In other words, a circle is a closed curve that consists of all the points that are equidistant from a given point. The distance around the circle is called the circumference, and the distance across the circle through its centre is called the diameter.
The equation of a circle with centre (a, b) and radius r is given by:
(x - a)² + (y - b)² = r²
Substituting the given values:
(x - (-8))² + (y - (-13))² = 13²
Simplifying:
(x + 8)² + (y + 13)² = 169
Therefore, the equation of the circle is (x + 8)²+ (y + 13)² = 169.
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Is this table proportional or non-proportional?
time all the number togetherStep-by-step explanation:
One pack of sliced cheese weighs 350 grams. How many packages would you need tobuy to have at least 1 kilogram of cheese?
Answer:
3
Step-by-step explanation:
Divide 1kg or 1000g by 350 and round up to the next integer. That's it.
Answer:
3 packages
Step-by-step explanation:
350+350=700
700+350=1100
1000 grams=1 kilograms
Find the solution for the inequality 22−3y>7.
Answer:
y > 5
Step-by-step explanation:
22-3y > 7
-22 -22
-3y > -15
/-3 /-3
y > 5
Watch help video
What is the volume of a hemisphere with a radius of 61.9 m, rounded to the nearest
tenth of a cubic meter?
Answer:
The volume of the hemisphere is 496741.6 m³
Step-by-step explanation:
The volume of an sphere is given by:
In which and r is the radius.
An hemisphere is half of an sphere, so it's volume is half the sphere's volume. So
In this question:
. So
The volume of the hemisphere is 496741.6 m³
write down three inequalities that define the shaded region
The calculated inequalities that define shaded region are y ≤ 3, y ≥ 2x - 3 and y ≥ -x
Determining the the inequalities that define shaded regionFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following properties
Shaded region is between y = 3 and region below (inclusive of y = 3)Shaded region to the left of y = 2x - 3 Shaded region to the right of y = -xUsing the above as a guide, we have the following:
y ≤ 3
y ≥ 2x - 3
y ≥ -x
Hence, the inequalities that define shaded region are y ≤ 3, y ≥ 2x - 3 and y ≥ -x
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Find the value of 9 in 7582.96.
9
0.9
0.09
90
PLEASE SOMEONE HELP ME
The Figure Represents a water trough in the shape of a rectangular prism. The dimensions of the water trough are given in feet.
What is the volume of water in the trough in cubic feet?
F-21 1/2ft ^2
G-13 1/2ft ^2
H-70ft^3
J-76ft^3
HELP PLEASE
To find the volume of water in the rectangular prism shaped water trough, we need to multiply the length, width, and height of the trough. So, the answer is J-76ft^3.
The dimensions of the water trough are not given, so we cannot simply multiply the numbers. However, we are given the area of the base of the trough, which is 21 1/2 square feet. This means that the length times the width equals 21 1/2.
Let's assume that the length is 7 feet and the width is 3 1/2 feet. Then, the area of the base would be 7 feet times 3 1/2 feet, which is indeed 21 1/2 square feet. We are also given the height of the trough, which is not explicitly stated, but can be found by dividing the volume by the area of the base.
Assuming the volume of the water trough is 70 cubic feet, we can divide 70 by 21 1/2 to get approximately 3.26 feet. Therefore, the height of the water trough is approximately 3.26 feet.
To find the actual volume of water in the trough, we can now multiply the length, width, and height, which gives us approximately 76 cubic feet. Therefore, the answer is J-76ft^3.
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The probable question may be:
"Given a water trough in the shape of a rectangular prism with dimensions given in feet, what is the volume of water in the trough in cubic feet?"
mr.brown has 40 students in his class. this is 6 more students than mr.green how many students does mr.green have? choose the correct equation and answer
Answer:
34
Step-by-step explanation:
40-6=34
Answer:
I don’t see the choices but it would be something like 40-6=34
Step-by-step explanation:
This because you are subtracting an object and 40-6 is 34, so therefore the equation would be 40-6 and the answer 34
you meet your friends at 3:30. it takes you 15 minutes to get home and you must be home ny 5:30 how much time can you spend with your friends
Answer:
45 minutes
Step-by-step explanation:
Answer:
probably atleest a hour so it will be 4:30 and then you'll be at home at 4:45
Step-by-step explanation:
I calculated it in 60 seconds
Suppose phone calls to a certain call center occur according to a Poisson distribution, and the average rate throughout the process equals 4 calls per 15 minutes. Measured in minutes, the time until the next 10 phone calls occur is Gamma (more specifically, Erlang) with what shape and rate parameters
The shape parameter of the Gamma distribution is 10 and the rate parameter is 15/4.
To determine the shape and rate parameters of the Gamma distribution, we need to relate it to the Poisson distribution.
In the Poisson distribution, the average rate (λ) is equal to the shape parameter (k) multiplied by the rate parameter (θ). In this case, the average rate is 4 calls per 15 minutes, so λ = 4/15.
For the Gamma distribution, the shape parameter (k) is equal to the number of phone calls (n), and the rate parameter (θ) is equal to the reciprocal of the average rate (λ). Therefore, k = 10 and θ = 1/λ.
Substituting the value of λ, we have k = 10 and θ = 15/4.
So, the shape parameter of the Gamma distribution is 10 and the rate parameter is 15/4.
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Ana dives into a pool off of a springboard high dive. Her height (in meters above the water), xxx seconds after diving, is modeled by h(x)=-5(x+1)(x-3)h(x)=−5(x+1)(x−3), What is the height of Ana above the water at the time of diving?
Answer:
15m
Step-by-step explanation:
When Ana is diving the time=0 therefore just substitute x=0 into h(x) and it will give you 15m
The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data
How to explain the informationThe answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.
In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.
Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.
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Select the equation that shows a proportional relationship between x and y. Oy - 2x + 4 oys 5x O y = 3x - 5 OY-5.8
Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
Solution:
If there exist a proportional relationship between x and y, then
where, k is constant of proportionality.
We know that, proportional relationship passes through the origin because (0,0) satisfy .
For x=0, check which equation has y=0.
In option A, .
In option B, .
In option C, .
In option D,
Only in option C, we have a equation of the form with 4 as constant of proportionality and it passes through (0,0).
Therefore, the correct option is C.
Answer:
You can give China brainiest.
Step-by-step explanation:
A road map has scale of 1:50000
the length of a road on the map is 8,5cm
work out the length of the real road in kilometers
Answer:
4.25 im really not sure but hope it helps
What is the product of -3 1/3 and -8 7/10?
Answer:
29
Step-by-step explanation:
-3 1/3 • -8 7/10
-10/3 • -87/10
870/30
29
Write the equation of a line that passes through (4,5) with a slope of 3
Answer:
y = 3x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (4, 5) into the partial equation
5 = 12 + c ⇒ c = 5 - 12 = - 7
y = 3x - 7 ← equation of line
Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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Which is the graph of g(x) = (0.5)x+ 3 – 4?
1
Answer:
It will look like this
Step-by-step
What is 4 60/72 written as a decimal?
OA) 0.483
OB) 0.83
OC) 4.83
OD) 0.483
Answer:
C. 4.83
Step-by-step explanation:
60/72 = 0.83333333
so the answer is 4.8333333
Question 10(Multiple Choice Worth 5 points)
(Identifying Functions LC)
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1
Is the relation a function? Explain.
No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.
Is the relation a function:
No, because for each input there is not exactly one output.How to know if the relation is a functionTo determine if the relation is a function, we need to check if there is exactly one output for each input.
Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).
This means that there are two outputs for the same input, so the relation is not a function.
Therefore, the correct answer is: "No, because for each input there is not exactly one output."
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ı need help on this math assıgnment please on rationals
According to the information, we can infer that A. 1: Real, Rational, Integer, Whole, Natural, B. 5.1: Real, Rational, C. √(-142): Non-real, D. \(\pi\) (Pi): Irrational, Real, E. 2/3: Rational, Real, F. ∛(-27): Non-real, G. 0.671: Real, Rational, H. 3√7: Irrational, Real, I. 0: Real, Rational, Integer, Whole, Natural, J. -√16: Real, Rational.
What is the correct classification for each number?A. 1: It is a real number because it can be plotted on the number line. It is rational because it can be expressed as a fraction (1/1). It is an integer, whole number, and natural number as well.B. 5.1: It is a real number and rational because it can be expressed as a terminating decimal (5.1 = 51/10).C. √(-142): It is a non-real number because the square root of a negative number is not defined in the real number system.D. π (Pi): It is an irrational number because it cannot be expressed as a finite or repeating decimal. It is a real number.E. 2/3: It is a rational number because it can be expressed as a fraction. It is a real number.F. ∛(-27): It is a non-real number because the cubic root of a negative number is not defined in the real number system.G. 0.671: It is a real number and rational because it can be expressed as a decimal.H. 3√7: It is an irrational number because the cube root of 7 cannot be expressed as a fraction or terminating decimal. It is a real number.I. 0: It is a real number and rational because it can be expressed as a fraction (0/1). It is an integer, whole number, and natural number as well.J. -√16: It is a real number and rational because the square root of 16 is 4.Learn more about numbers in: https://brainly.com/question/24908711
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Consider the density curve plotted below:1920212223240.0250.050.0750.10.1250.150.1750.20.2250.250.275XPDF(X)Density CurveFind P(X≤22) : 0.1Find P(X>21) : Calculate the following. Q1: median: Q3: IQR:
In this problem, we have a graph of the PDF (Probability Density Function). To compute probabilities in a certain interval (a, b), we must integrate this function from x = a to x = b.
(1) P(X ≤ 22)
We integrate the function from x = -∞ to x = 22, we get:
\(\begin{gathered} P(X\text{ }≤\text{ }22)=\int_{-\infty}^{22}dx\cdot PDF(x) \\ =\int_{-\infty}^{20}dx\cdot PDF(x)+\int_{20}^{22}dx\cdot PDF(x) \\ =\int_{-\infty}^{20}dx\cdot0+\int_{20}^{22}dx\cdot0.25 \\ =0+0.25\cdot(22-20) \\ =0.25\cdot2 \\ =0.5. \end{gathered}\)We separated the integral to use the data from the graph.
(2) P(X > 21)
We integrate the function from x = 21 to x = ∞, we get:
\(\begin{gathered} P(X>21)=\int_{21}^{\infty}dx\cdot PDF(x) \\ =\int_{21}^{24}dx\cdot PDF(x)+\int_{24}^{\infty}dx\cdot PDF(x) \\ =\int_{21}^{24}dx\cdot0.25+\int_{24}^{\infty}dx\cdot0 \\ =0.25\cdot(24-21)+0 \\ =0.25\cdot3 \\ =0.75. \end{gathered}\)(3) The Q1 is the value x = a of the interval (-∞, a) that gives a probability equal to 0.25. So we must find x such that:
\(P(XUsing the data of the graph, we have:\(\begin{gathered} \int_{-\infty}^adx\cdot PDF(x)+\int_{20}^adx\cdot PDF(x)=0.25, \\ \int_{-\infty}^{20}dx\cdot0+\int_{20}^adx\cdot0.25=0.25, \\ 0.25\cdot(a-20)=0.25, \\ a-20=\frac{0.25}{0.25}, \\ a-20=1, \\ a=21. \end{gathered}\)(4) The median is the value x = a of the interval (-∞, a) that gives a probability equal to 0.5. Proceeding as before, we have:
\(\begin{gathered} \int_{-\infty}^adx\cdot PDF(x)+\int_{20}^adx\cdot PDF(x)=0.5, \\ \int_{-\infty}^{20}dx\cdot0+\int_{20}^adx\cdot0.25=0.5, \\ 0.25\cdot(a-20)=0.5, \\ a-20=\frac{0.5}{0.25}, \\ a-20=2, \\ a=22. \end{gathered}\)(5) The Q3 is the value x = a of the interval (-∞, a) that gives a probability equal to 0.75. Proceeding as before, we have:
\(\begin{gathered} \int_{-\infty}^adx\cdot PDF(x)+\int_{20}^adx\cdot PDF(x)=0.75, \\ \int_{-\infty}^{20}dx\cdot0+\int_{20}^adx\cdot0.25=0.75, \\ 0.25\cdot(a-20)=0.75, \\ a-20=\frac{0.75}{0.25}, \\ a-20=3, \\ a=23. \end{gathered}\)(6) The IQR is given by the difference between Q3 and Q1. Using the results from above, we get:
\(IQR=Q3-Q1=23-21=2.\)Answer• P(X ≤ 22) = 0.5
,• P(X > 21) = 0.75
,• Q1 = 21
,• median = 22
,• Q3 = 23
,• IQR = 2
Help, please! I need to get this done. :(
Answer:
saw this question on egde its b
Write the equation of a line that is perpendicular to the line y = 3x +7 and has an
x-intercept of 12.
The line y = - (1 / 3) · x + 4 is a equation perpendicular to line y = 3 · x + 7.
How to derive the equation of a line perpendicular to another line
Algebraically speaking, lines are described by the following equation:
y = m · x + b
Where:
m - Slopeb - y-Interceptx - Independent variable.y - Dependent variable.And two lines are perpendicular to each other if the product of their slopes is equal to:
m · m' = - 1
Where:
m - Slope of the original line.m' - Slope of the perpendicular line.Now we proceed to determine the equation of the perpendicular line. First, write the slope of the original line:
m = 3
Second, calculate the slope of the perpendicular line:
m' = - 1 / 3
Third, find the y-intercept:
b = y - m' · x
b = 0 - (- 1 / 3) · 12
b = 4
Fourth, write the resulting equation of the line:
y = - (1 / 3) · x + 4
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just the linked questions, thanks . 8.4 similar triangles unit 8 practice a
The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;
8. \(\overline {ST}\) is parallel to \(\overline{PR}\)
9. \(\overline{ST}\) is parallel to \(\overline{PR}\)
10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)
11. x = 57.6
12. x = 25.8
13. x = 11
14. x = 10
15. x = 5
16. x = 17
What is Thales theorem?Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.
8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625
Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)
9. The ratio of the sides the parallel side to the base divides the other two sides are;
33/41.8 = 15/19
45/(102 - 45) = 45/57 = 15/19
Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)
10. The ratio of the sides the segment \(\overline{ST}\) bisects the other two sides are;
24/57 and 19/38
24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)
Second part; To solve for x
11. x/30 = 48/25
x = (48/25) × 30 = 57.6
x = 57.6
12. x/34.4 = (49 - 28)/28
x = 34.4 × (49 - 28)/28 = 25.8
x = 25.8
13. (2·x + 6)/52.5 = 32/60
(2·x + 6) = 52.5 × (32/60)
x = (52.5 × (32/60)) - 6)/2 = 11
x = 11
14. (x - 3)/21 = (x - 1)/27
27·x - 27 × 3 = 21·x - 21
27·x - 81 = 21·x - 21
6·x = 60
x = 60 ÷ 6 = 10
x = 10
15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)
15/20 = (4·x - 2)/(7·x - 11)
15 × (7·x - 11) = 20 × (4·x - 2)
105·x - 165 = 80·x - 40
105·x - 80·x = 165 - 40 = 125
25·x = 125
x = 125/25 = 5
x = 5
16. (x - 3)/35 = 4/(x - 7)
(x - 3) × (x - 7) = 35 × 4 = 140
x² - 10·x + 21 = 140
x² - 10·x - 119 = 0
(x - 17) × (x + 7) = 0
x = 17 or x = -7
Therefore, the possible value of x is 17
x = 17
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a rectangular compound is 32m broad and its perimeter is 144m .Find its length.
Answer
40m
Step-by-step explanation:
Multiply 32m by 2 or add 32m add 32m
You will get 64m
Subtract 64m from 144m
You will get 80m
Divide 80m by 2
You will get a length of 40m
A rectangular compound is 32m broad and its perimeter is 144m .Find its length.
Answer:\( \color{hotpink} \bold{40 \: m} \\ \)— — — — — — — — — —
Solution:Based on the problem, a rectangle compound is 32 m broad and its perimeter is 144.
so,
\(2 \: (1 + b) = 144\)\(\small2 \: (1 + 32) = 144 \: \to \: 2l + 64 = \orange{ \tt144}\)\(2l = 144 - 64 = \orange{80}\)\(l = \frac{80}{2} = \underline{\boxed{ \orange{ 40 \: m}}} \\ \)Therefore, the length measures 40 meters.
_______________∞_______________
2x^2 + 8x factor out the gcf
Answer:
2x(x + 4)
Step-by-step explanation:
The greatest common factor of 2x^2 and 8x is 2x. So, we can factor out 2x to get:
2x(x + 4)
The definition of a greatest common factor (GCF) is the largest number that is a factor of two or more numbers. In this case, 2x is the GCF of 2x^2 and 8x because it is the largest number that divides both numbers evenly.
Here are the steps on how to factor out the GCF:
Find the GCF of the two numbers. In this case, the GCF is 2x. Write the GCF as a factor of each number. Combine the factors to get the factored expression.In this case, the factored expression is 2x(x + 4).
The answer is:
⇨ 2x(x + 4)Work/explanation:
Let's find something that \(\sf{2x^2}\) and \(\sf{8x}\) have in common.
In other words, we find their GCF (greatest common factor).
The GCF of \(\sf{2x^2}\) and \(\sf{8x}\) is 2x.
So I factor it out :
\(\sf{2x(x+4)}\)
Hence, the answer is 2x(x + 4).3(3y - 10) = 6 I need the answer please
Answer:
If you wanted to simplify the equation:
9y - 30 = 6
If you wanted to solve for y:
y = 4
Step-by-step explanation:
3(3y - 10) = 6
9y - 30 = 6
Add 30 to both sides of the equation:
9y - 30 + 30 = 6 + 30
Simplify:
9y = 6 + 30
9y = 36
Divide both sides of the equation by 9:
9y ÷ 9 = 36 ÷ 9
Cancel terms that are in both the numerator and denominator:
y = 36 ÷ 9
y = 4