Find the correlation coefficient (r)
(65,102),(71,133),(79,144),(80,161),(86,191),(86,207),(91,235),(95,237),(100,243)
Answers
The correlation coefficient (r) for the given data points is approximately 0.9859, indicating a strong positive relationship between the x and y values.
1. First, let's find the mean of the x-values and the y-values. To do this, add all the x-values together and divide by the total number of points (9). Repeat this for the y-values.
Mean of x = (65 + 71 + 79 + 80 + 86 + 86 + 91 + 95 + 100) / 9 ≈ 83.67
Mean of y = (102 + 133 + 144 + 161 + 191 + 207 + 235 + 237 + 243) / 9 ≈ 183.89
2. Next, calculate the deviations of each point from the mean for both x and y.
For example, for the first point (65,102), the deviations are:
x-deviation = 65 - 83.67 ≈ -18.67
y-deviation = 102 - 183.89 ≈ -81.89
3. Then, multiply the x and y deviations for each point and sum the results. Also, square the deviations for both x and y and sum them separately.
Sum of x*y deviations ≈ 47598.73
Sum of squared x deviations ≈ 2678.89
Sum of squared y deviations ≈ 105426.56
4. Finally, calculate the correlation coefficient (r) by dividing the sum of x*y deviations by the square root of the product of the sum of squared x and y deviations.
r = (47598.73) / √(2678.89 * 105426.56) ≈ 0.9859
The correlation coefficient (r) for the given data points is approximately 0.9859, indicating a strong positive relationship between the x and y values.
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Related Questions
suppose each license plate in a certain state has three letters followed by three digits. The letters H and L and the digits 1, 2, and 9 are not used. So, there are 24 letters and 7 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format.
Answers
Number of license plates = 24 x 24 x 7 x 7 x 7
= 197568
\(y+\frac{4}{5} =1\frac{2}{5}\)
Answers
However if we’re rewriting it in standard form, it would be 5y=3
3. Find the second derivative using implicit differentiation x2+y2=4
Answers
The second derivative of the equation \(x^2 + y^2 = 4\), using implicit differentiation, is \((y' * y' - 1) / (y')^2\).
To find the second derivative using implicit differentiation for the equation\(x^2 + y^2 = 4\), we need to differentiate both sides of the equation with respect to x twice.
Let's start by differentiating both sides of the equation with respect to x:
\(d/dx(x^2) + d/dx(y^2) = d/dx(4)\)
Applying the power rule, we get:
\(2x + 2yy' = 0\)
Next, we differentiate both sides again with respect to x:
\(d/dx(2x) + d/dx(2yy') = d/dx(0)\)
Differentiating 2x and 0 yields 2, and applying the product rule for the term 2yy', we have:
\(2 + 2y(dy/dx) + 2y'(dy/dx) = 0\)
Now, we can isolate the second derivative term, which is\(d^2y/dx^2:2y'(dy/dx) = -2 - 2y(dy/dx)\)
Dividing both sides by 2y, we obtain:
\(dy/dx = (-2 - 2y(dy/dx)) / (2y')\)
Simplifying the equation further, we get:
\(dy/dx = (-1 - y(dy/dx)) / y'\)
Now, we can solve for the second derivative \(dy^2/dx^2\):
\(d^2y/dx^2 = d(dy/dx) / dx\)
Using the quotient rule, we can differentiate\(dy/dx = (-1 - y(dy/dx)) / y'\)with respect to x:
\(d^2y/dx^2 = [(y' * y' - y * d^2y/dx^2) - (1 + y * d^2y/dx^2)] / (y')^2\)
Simplifying the equation further, we have:
\(d^2y/dx^2 = (y' * y' - 1) / (y')^2\)
Thus, the second derivative of the equation\(x^2 + y^2 = 4\), using implicit differentiation, is\((y' * y' - 1) / (y')^2\).
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A 35 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 28 feet from the base of the building. How high up the wall does the ladder reach?
Answers
Given the information on the problem, we can draw the following right triangle:
we can find how high the ladder reach using the pythagorean theorem:
\(\begin{gathered} (35)^2=(28)^2+h^2 \\ \Rightarrow h^2=(35)^2-(28)^2=1225-784=441 \\ \Rightarrow h=\sqrt[]{441}=21 \\ h=21ft \end{gathered}\)therefore, the ladder reaches 21 ft high up on the wall
Which type of triangle will always have exactly 1-fold reflectional symmetry?
Answers
Answer:
Isosceles Triangle
Step-by-step explanation:
PLS ANS THIS QUESTION PLS (WITH STEPS) IT WILL BE A GREAT HELP
Answers
Answer:
6x² – 10y² + 2xy + 10
Step-by-step explanation:
We'll begin calculating the sum of
x² + 3y² – 6xy and 2x² – y² + 8xy + 8
This can be obtained as follow:
... x² + 3y² – 6xy
+ 2x² – y² + 8xy + 8
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
3x² – 2y² + 2xy + 8
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Next, we shall determine the sum of:
–3x² + 4y² + 3 and 4y² – 5
This can be obtained as follow:
–3x² + 4y² + 3
+ 4y² – 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
–3x² + 8y² – 2
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Finally, we shall subtract the sum of:
–3x² + 4y² + 3 and 4y² – 5
from the sum of:
x² + 3y² – 6xy and 2x² – y² + 8xy + 8
This can be obtained as follow:
.. 3x² – 2y² + 2xy + 8
– (–3x² + 8y² – 2)
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
6x² – 10y² + 2xy + 10
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
find the remainder when 1!+2!+3!+...+15! is divided by 15
Answers
Answer:
3Step-by-step explanation:
We know that
n! = 1*2*3*...*nWe also know that
15 = 3*5Since 5! = 1*2*3*4*5 is divisible by 15:
any n! with n ≥ 5 is divisible by 15.We need to find the remainder when 1! + 2! + 3! + 4! is divided by 15 as all the rest are divisible by 15.
The sum is:
1! + 2! + 3! + 4! = 1 + 2 + 6 + 24 = 33The remainder is:
33/15 = 2 rem 3As we see the remainder is 3
What is 223,692 divided by 42 using the standard algorithm and showing work?
Answers
The value of 223,692 divided by 42 using the standard algorithm and showing work is 5326.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
The value of 223,692 divided by 42 using the standard algorithm and showing work is given below:
Dividing the two values by 2, a common factor
223,692 / 42
= 111,846 / 21
Dividing the two values by 3, a common factor
111,846 / 21
= 37282 / 7
Dividing the two values by 7, a common factor
37282 / 7
= 5326 / 1
Hence, the value of the division is 5326.
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suppose a, b is a multiple of c, d and abcd 0. show that a, c is a multiple of b, d. using matrices, what does this tell us?
Answers
This tells us that the matrices are linearly dependent.
The linearly dependentIf a, b is a multiple of c, d, and abcd is 0, then we can write this as a matrix equation:
[a b] [c] [0]
[c d] [d] = [0]
This tells us that the matrix [a b] is a left-multiple of the matrix [c d]. In other words, there exists some scalar k such that [a b] = k[c d].
From this, we can see that a, c is a multiple of b, d. This is because a = kc and b = kd. Therefore, a is a multiple of c, and b is a multiple of d.
This tells us that the matrices are linearly dependent. In general, whether a matrix is a multiple of another matrix or not depends on the specific elements of the matrices. In order to determine if a matrix is a multiple of another, one can use matrix algebra and linear algebra techniques to simplify the matrices and look for patterns.
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Why is 4 + (-3) equal to 1?
Answers
Answer:
[See Below]
Step-by-step explanation:
\(Hey~There!\)
________________________
➜ Solve:
\(4+(-3)=1\)So with this problem technically your subtracting because of the \(-3\).________________________
So based on our work above we can conclude that the equation is equal because when solve it equals \(1\), making \(1=1\).
________________________
\(Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane\) ヅ
Which equation has the same solution as
x2+4x-13=-7
Answers
Answer:
6x - 3 + 4x = 13
10x - 3 = 13
10x = 16
x = 1.6
Any equation whose solution is x=1.6 has the same solution as this one has.
Step-by-step explanation:
3.72÷ 10 4 which of these shows and explains the correct location of the decimal point when the expression is evaluated?
a 0.0000372 because 4 zeros are placed in front of the number when you divide by 104 b 0.000372 because the decimal point moves 4 places to the left when you divide by 104 c 37,200 because the decimal point moves 4 places to the right when you divide by 104 d 3,720,000 because 4 zeros are placed after the number when you divide by 104
Answers
The correct location of the decimal point when the expression 3.72 divided by 10⁴ is evaluated is: 0.000372 because the decimal point moves 4 places to the left when you divide by 10 to the fourth power. The correct option is B.
To evaluate this expression, we need to move the decimal point 4 places to the left, since the exponent is positive.
Option A is incorrect because placing 4 zeros in front of the number would give us a much smaller value than the original number. Option B is correct because moving the decimal point 4 places to the left would give us 0.000372, which is equivalent to 3.72 divided by 10⁴.
Option C is incorrect because moving the decimal point 4 places to the right would give us a much larger value than the original number. Option D is also incorrect because placing 4 zeros after the number would give us a value that is 10,000 times larger than the original number.
Therefore, the correct answer is B, which shows and explains the correct location of the decimal point when the expression 3.72 divided by 10⁴ is evaluated. The correct option is B.
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Complete question:
3.72 divided by 10⁴ which of these shows and explains the correct location of the decimal point when the expression is evaluated?
A 0.0000372 because 4 zeros are placed in font of the number when you divide by 10 to the fourth power
B 0.000372 because the decimal point moves 4 places to the left when you divide by 10 to the fourth power
C 37,200 because the decimal point moves for places to the right when you divide by 10 to the fourth power
D 3,720,00 because 4 zeros are placed after the number when you divide by 10 to the fourth power
\(\frac{n! + (n+1)!}{n!}\)
Answers
Answer:
zero or may be infinite bro
What is m∠1?...............
Answers
answer is 115
hope that helped lol
Find the total area of the solid figure.
3"
3"
3"
6"
(54+\frac(9\sqrt{3}}{2}\)
(46+\frac(9\sqrt{2}]}{2}\)
64+\frac(9\sqrt(3]](21)
(72+\frac{2\sqrt{3}}9}\)
![Find the total area of the solid figure.3"3"3"6" (54+\frac(9\sqrt{3}}{2}\) (46+\frac(9\sqrt{2}]}{2}\)64+\frac(9\sqrt(3]](21)(72+\frac{2\sqrt{3}}9}\)](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/mC6zV3kXgkVdNEuBJkoTn5ddO568Tec5.png)
Answers
The total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.
To find the total area of the solid figure, we need to determine the areas of each face and then add them together.
The solid figure consists of a rectangular prism with dimensions 3" x 3" x 6" and a pyramid on top with an equilateral triangle base.
First, let's find the area of the rectangular prism. The rectangular prism has two identical square faces with side length 3" and four rectangular faces with dimensions 3" x 6". The total area of the rectangular prism can be calculated as:
Area of the square faces: 2 * (3" * 3") = 2 * 9 square inches
Area of the rectangular faces: 4 * (3" * 6") = 4 * 18 square inches
Total area of the rectangular prism: 2 * 9 + 4 * 18 = 18 + 72 = 90 square inches.
Next, let's find the area of the triangular pyramid. The base of the pyramid is an equilateral triangle with side length 3". The height of the pyramid is 3". The formula to find the area of an equilateral triangle is (sqrt(3) / 4) * (side length)^2. Plugging in the values, we have:
Area of the triangular pyramid: (sqrt(3) / 4) * (3" * 3") * 3" = (sqrt(3) / 4) * 9 * 3 = (sqrt(3) / 4) * 27 = 27sqrt(3) / 4 square inches.
Now, we can find the total area of the solid figure by adding the area of the rectangular prism and the area of the triangular pyramid:
Total area = Area of rectangular prism + Area of triangular pyramid
Total area = 90 square inches + 27sqrt(3) / 4 square inches.
Thus, the total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.
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each face of a cube is assigned a different integer. then each vertex is assigned the sum of the integer values on the faces that meet at the vertex. finally, the vertex numbers are added. what is the largest number that must divide the final sum for every possible numbering of the faces?
Answers
The largest number is 4 which divides the final sum of every possible numbering of the faces.
As per the given problem,
Each face of a cube is assigned a different integer. Let the assigned integer be as follows:
face 1 - aface 2 - bface 3 - cface 4 - dface 5 - eface 6 - fThen each vertex is assigned the sum of the integer values on the faces that meet at the vertex. Later on, the vertex numbers are added as below:
vertex 1 ⇒ faces = a, d, e and sum = a + d + evertex 2 ⇒ faces = a, b, e and sum = a + b + evertex 3 ⇒ faces = b, c, e and sum = b + c + evertex 4 ⇒ faces = c, d, e and sum = c + d + evertex 5 ⇒ faces = a, d, f and sum = a + d + fvertex 6 ⇒ faces = a, b, f and sum = a + b + fvertex 7 ⇒ faces = b, c, f and sum = b + c + fvertex 8 ⇒ faces = c, d, f and sum = c + d + fTotal sum = a + d + e + a + b + e + b + c + e + c + d + e + a + d + f + a + b +
f + b + c + f + c + d + f
= 4a + 4b + 4c + 4d + 4e + 4f
sum = 4( a + b + c + d + e + f)
Therefore, 4 is the largest number that must divide the final sum for every possible numbering of the faces.
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A page in Johanie’s workbook is torn, and one of the questions is cut off. She can read only the first part of the question: "In which quadrant would you find point P if the coordinates of P are (â€"5,. " Assuming that P is not on an axis, what are the possible answers to this question? quadrant I or quadrant II quadrant II or quadrant III quadrant II or quadrant IV quadrant III or quadrant IV.
Answers
A quadrant is simply a part of the coordinate plane
The possible position of point P is (b) quadrant II or quadrant III
The coordinates of point P is given as:
\(\mathbf{P =(-5,\_)}\)
Represent the missing y-coordinate with y.
So, the coordinate becomes
\(\mathbf{P =(-5,y)}\)
The above coordinate shows that the x-coordinate of point P is negative.
The x-coordinate is negative in the second and the third quadrants
i.e. quadrant II and quadrant III
Hence, the position of point P is (b) quadrant II or quadrant III
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Quadrant 2 or 3
Remember, the first coordinate is -5.
And the first coordinate in an ordered pair is always on the x axis, or the horizontal line
On a coordinate plane, you would have to start from the origin, or the center of the plane where the y and x axis intersect, and move left 5 times.
That section of the x axis your dot is on is between quadrant 2 and 3.
If your other coordinate was a positive (say, 6), you would move up six times and land in the second quadrant
If your other coordinate was -6, you would move down six times and land in the third quadrant
At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is
53. What is the height of the tree rounded up to the nearest hundredth.
Answers
Answer:
At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot.
I got 50xtan53 = 66.35 nearest foot ? would I use tan or sin since I'm finding the foot of the tree
Step-by-step explanation:
.
1. Luzcel real estate owns 8000 square meters of lot area and decides to construct two different styles of houses, B and C. The lot area of house B is 250 sq. m. and house C lot area is 200 sq. m. The construction engineer has a maximum of 6400 man-hours of labor for the construction. Let your variables be the number of units of house B and the number of units of house C to be constructed. a) Write an inequality which states that there are 8000 sq. m. of land available. b) A unit of house B requires 160 man-hour and a unit of house C requires 256 man-hour. Write an inequality that the engineer has at most 6400 man-hour available for construction. c) If material cost 600 thousand pesos for a unit of house B and 800 thousand for a unit of house C, write an inequality stating that the engineer has at least 12 million pesos to spend for materials. d) Labor cost 1.1 million pesos for constructing a unit of house B and 1.3 million pesos for constructing a unit of house C. If a unit of house B sells for 3.5 million and a unit of house C selis for 4 million, how many units of house B and house C should be constructed to obtain the maximum profit? Show the graph.
Answers
Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.
Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:
160B + 256C ≤ 6400c
Inequality stating that the engineer has at least 12 million pesos to spend for materials:
600B + 800C ≤ 12000d
. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C
Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.
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a. If a polygon is a square, then it is a rectangle.
CONVERSE:
Tor F?
b. If a polygon is a rectangle, then it has four 90°
angles.
CONVERSE:
Tor F?
c. If a shape is a rectangle, the formula for its area is
base times height.
CONVERSE:
Tor F?
Answers
Answer:
a. If a polygon is a rectangle, then it is a square
False
b. If a polygon has four 90 degree angles, then it is a rectangle
True
c. If the formula for a shape's area is base time height, it is a rectangle
False
Find the zero of the function f(x)= 4x+8
Answers
Answer:
x = -2
Step-by-step explanation:
Solve for x:
4 x + 8 = 0
Subtract 8 from both sides:
4 x + (8 - 8) = -8
8 - 8 = 0:
4 x = -8
Divide both sides of 4 x = -8 by 4:
(4 x)/4 = (-8)/4
4/4 = 1:
x = (-8)/4
8/4 = (4×2)/4 = 2:
Answer: x = -2
Answer:
The zero of the function is at x = -2
Step-by-step explanation:
Waiting times at a service counter in a pharmacy are exponentially distributed with a mean of 10 minutes. If 100 customers come to the service counter in a day, approximate the probability that at least half of them must wait for more than 10 minutes.
Answers
Therefore, the probability that at least half of them must wait for more than 10 minutes is approximately \(1.137 x 10^-13.\)
Additionally, using relevant terms from the question in the answer is helpful.
Explanation:Given that waiting times at a service counter in a pharmacy are exponentially distributed with a mean of 10 minutes, we are to approximate the probability that at least half of the 100 customers must wait for more than 10 minutes.P(X > 10) is the probability of a customer waiting for more than 10 minutes.\(P(X > 10) = 1 - P(X < 10)P(X < 10) = 1 - P(X > 10) = 1 - e^(-10/10) = 1 - e^-1 = 0.632\)
Therefore, \(P(X > 10) = 1 - 0.632 = 0.368\)Thus, P(at least 50 customers wait for more than 10 minutes) =
\(P(X > 10)50 = 0.368^50 = 1.137 x 10^-13.\)
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1.92e10^75 X 8.2e10^84 / 1.2.e10^12
show work
Answers
Answer:
1.367431640625 i think
Step-by-step explanation:
You enter the number: 1.5e1016 in Hexadecimal number system and want to translate it into Decimal.
To do this, at first translate it to decimal here so :
1.5e1016 = 1∙160+5∙16-1+14∙16-2+1∙16-3+0∙16-4 = 1+0.3125+0.0546875+0.000244140625+0 = 1.36743164062510
Happened: 1.36743164062510
Result of converting:
1.5e1016 = 1.36743164062510
Answer: 13.12 x 10^147 e
Step-by-step explanation: ( i dont know if thats a multiply but oh well )
1.92e10^75 x 8.2e10^84 / 1.2.e10^12
= 1.92 x 10^75 x 8.2e10^84 / 1.2 x 10^12
= 1.6 x 10^75 x 8.2e10^84 / 1.2 x 10^12
= 1.6 x 10^63 x 8.2e x 10^84
= 13.12 x 10^147 e
please give brainliest! / im still not sure of the answer tho :/
(Q2) The set of line segments _____ meet the requirements to form a triangle.8 cm4 cm3 cm
Answers
To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.
We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.
In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.
In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.
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x²+ 8x + 16 = 0
Step 1:
a = x
b = 8
C = 16
Plug into quadratic formula:
Step 2: Show work and solve
Step 3: Solution
x = -4
x =
Answers
a = 1
b = 8
c = 16
x = (-b ± sqrt(b² - 4ac)) / 2a
x = (-8 ± sqrt(8² - 4*1*16)) / 2*1
x = (-8 ± sqrt(64 - 64)) / 2
x = (-8 ± 0) / 2
Step 3:
x = -4 (one solution)
Answer:
See below
Step-by-step explanation:
Solution with Quadratic Formula
\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-8\pm\sqrt{8^2-4(1)(16)}}{2(1)}=\frac{-8\pm\sqrt{64-64}}{2}=\frac{-8}{2}=-4\)
Note that \(a=1,b=8,c=16\)
Solution with factoring (faster)
\(x^2+8x+16=0\\(x+4)^2=0\\x+4=0\\x=-4\)
A=-x^2+40 which equation reveals the dimensions that will create the maximum area of the prop section
Answers
The x-coordinate of the vertex is 0. the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.
To find the dimensions that will create the maximum area of the prop section, we need to analyze the given equation A = -x^2 + 40. The equation represents a quadratic function in the form of A = -x^2 + 40., where A represents the area of the prop section and x represents the dimension.
The quadratic function is in the form of a downward-opening parabola since the coefficient of is negative (-1 in this case). The vertex of the parabola represents the maximum point on the graph, which corresponds to the maximum area of the prop section.
To determine the x-coordinate of the vertex, we can use the formula x = -b / (2a), where the quadratic equation is in the form Ax^2 + Bx + C and a, b, and c are the coefficients. In this case, the equation is -x^2 + 40, so a = -1 and b = 0. Plugging these values into the formula, we get x = 0 / (-2 * -1) = 0.
Therefore, the x-coordinate of the vertex is 0. To find the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.
Hence, the equation that reveals the dimensions that will create the maximum area of the prop section is A = 40. This means that regardless of the dimension x, the area of the prop section will be maximized at 40 units.
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How many sides has a regular polygon if it's interior angles are:144 each, 135 each
Answers
The measure of each interior angle of a regular polygon is \(\frac{180(n-2)}{n}\) degrees, where n is the number of sides.
Question 1
\(144=\frac{180(n-2)}{n}\\\\144n=180(n-2)\\\\144n=180n-360\\\\-36n=-360\\\\n=10 \text{ sides}\)
Question 2
\(\frac{180(n-2)}{n}=135\\\\180(n-2)=135n\\\\180n-360=135n\\\\-360=-45n\\\\n=8 \text{ sides}\)
The Constitution is on display in a glass case at a museum. Suppose the museum charged an entrance fee of $12.50 per person and made $1,150 in entrance fees that day. If 25% of the day's visitors were kids, how many kids visited the museum that day?
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A69 kids
B23 kids
C25 kids
D46 kids
Answers
Answer:
23 kids
Step-by-step explanation:
Solve the formula a(m+r) -t=s for a.
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Answer:
a = (s +t)/(m +r)
Step-by-step explanation:
Add t, then divide by the coefficient of 'a'.
\(a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}\)
How do you write a logarithmic function?
Answers
The required way to write logarithmic function is \(\log_{b}({b^x})=x\)
What is logarithmic function?A base must be raised to a certain exponent or power, or logarithm, in order to produce a specific number. If bx = n, then x is the logarithm of n to the base b, which is expressed mathematically as x = logb n. For instance, 23 = 8; hence, 3 is the base-2 logarithm of 8 or 3 = log2 8.
According to question:The formula for the logarithmic function is f(x) = log base b of x. The base 10 is used for the common log.
The base used by the natural log is e, an irrational integer with the value 2.71828.
To know more about logarithmic function visit:
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