Answer:
8. Number of sides: 32
Interior angle sum: 5400°
9. Number of sides: 9
Interior angle sum: 1260°
10. Number of sides: 16
Interior angle sum: 2520°
Step-by-step explanation:
8. Given:
One interior angle: 168,75°
The sum (s) can be found using this formula:
\(s = (n - 2) \times 180°\)
n - the number of sides
The measure of one interior angle can be found using this formula:
\( \frac{(n - 2) \times 180°}{n} \)
Since we know the measure of one interior angle, we can write an equation:
\( \frac{(n - 2) \times 180°}{n} = 168.75°\)
Cross-multiply:
\(168.75n = (n - 2) \times 180\)
Expand the brackets:
\(168.75n = 180n - 360\)
Collect like-terms:
\(168.75n - 180n = - 360\)
\( - 11.25n = - 360\)
Divide both sides of the equation by -11,25 to make n the subject:
\(n = 32\)
Now that we know the number of sides, we can find the interior angle sum:
\(s = (32 - 2) \times 180° = 30 \times 180 = 5400°\)
.
9. Now do the other ones the same way:
\( \frac{(n - 2) \times 180°}{n} = 140°\)
\(140n = 180n - 360\)
\( - 40n = - 360\)
\(n = 9\)
\(s = (9 - 2) \times 180° = 7 \times 180° = 1260°\)
.
10.
\( \frac{(n - 2) \times 180°}{n} = 157.5°\)
\(157.5n = 180n - 360\)
\( - 22.5n = - 360\)
\(n = 16\)
\(s = (16 - 2) \times 180° = 14 \times 180° = 2520°\)
WILL GIVE BRAINLEST! Is this relationship proportional why or why not?
Yes it is because it passes the line and made at exact point on 12. :)) ^^ give them brainly though
Suppose a designer has a palette of 14 colors to work with, and wants to design a flag with 4 vertical stripes, all of different colors.
How many possible flags can be created?
Answer:
182
The number of permutations of 14 things taken 2 at a time is ...
14P2 = 14·13 = 182
The first color can be any of the 14 on the palette. The second color must be different, so can be any of the remaining 13.
___
We assume that a "yellow/red" flag is different from a "red/yellow" flag. That is, order matters.
What is the factored form of the polynomial?
x2 − 12x + 27?
(x + 4)(x + 3)
(x − 4)(x + 3)
(x + 9)(x + 3)
(x − 9)(x − 3)
Answer:
-9?
Step-by-step explanation:
what is
13r+5r
simplified
Answer:
18r
Step-by-step explanation:
since they both have r as their variable, they're like terms, meaning you can combine them
so 13+5 = 18
if a cubic box (all sides the same length) has a volume of 1.0 l, what is the length of each side of the box in cm?
The length of each side of the box is 10 centimeter.
Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units.
Given,
The volume of the cubic box = 1 liter
We know 1 liter= 1000 cubic centimeter
Volume of the cubic box= \(x^3}\)
Then,
\(x^{3}=1000\\ x=\sqrt[3]{1000}\)
x=10 centimeter
Hence, the length of each side of the box is 10 centimeter.
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Please help. I will give u 12 points. I don’t have time
What are the MRSs? Determine if there is a diminishing MRS
a. U(x,y)=3x+y
b. U(x,y)=x.y
c. U(x,y)=x⋅y
d. U(x,y)=x2−y2
e. U(x,y)=x+yx.y 3.
Consider each of a. U(x,y)=x0.1y0.4 b. U(x,y)=min(αx,βy) c. U(x,y)=αx+βy calculate the following i. Demand curves for x and y ii. Indirect utility function iii. (Indirect) expenditure function iv. Show that the demand curve is homogeneous in degree zero in terms of income and prices
a. The MRS is constant (not diminishing) at 1/3.
U(x,y) = 3x + y
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = 1 / 3
The MRS is constant (not diminishing) at 1/3.
b. The MRS is diminishing because as y increases, the MRS decreases.
U(x,y) = x * y
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = 1 / y
The MRS is diminishing because as y increases, the MRS decreases.
c. The MRS is diminishing because as y increases, the MRS decreases.
U(x,y) = x * y
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = 1 / y
Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.
d. The MRS depends on the ratio of y to x and can vary.
U(x,y) = x^2 - y^2
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x
The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.
e. The MRS depends on the values of x and y and can vary.
U(x,y) = x + y / (x * y)
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)
The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.
Now let's move on to the second part of the question:
For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.
To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.
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a1=(1,3,-1) , a2=(-5,-8,2) and b=(3,-5,h). For what values of h is b in plane spanned by a1 and a2?
The value of h for which b in plane spanned by a1 and a2 is 3.
If b is spanned by a1 and a2, then for some constant x and y
b = x*a1 + y*a2
(3, -5, h) = x(1, 3, -1) + y(-5, -8, 2)
So we get equations
x - 5y = 3
3x - 8y = -5
-x + 2y = h
Solving x - 5y = 3 and 3x - 8y = -5
(3x - 8y) - 3(x - 5y) = -5 - 3*3
7y = -14
y = -2
Also x = 3 + 5y = 3 + 5*-2
So x = -7
Now h = -x + 2y
= -(-7) + 2*(-2)
= 7 - 4
= 3
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The graph of the step function g(x) = –⌊x⌋ + 3 is shown.
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 2, 5) to (negative 1, 5). Each segment is 1 unit lower and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, negative 1) to (5, negative 1).
What is the domain of g(x)?
{x| x is a real number}
{x| x is an integer}
{x| –2 ≤ x < 5}
{x| –1 ≤ x ≤ 5
Using it's concept, the domain of the function is given as follows:
{x| –2 ≤ x <= 5}
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function, that is, the values for which the function is defined.
The function described in this problem is defined from x = -2 until x = 5 hence the domain of the function is given as follows, by the interval:
{x| –2 ≤ x <= 5}
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Answer:
So I got 64 on my test, but it doesn't let you see what was right and what was wrong, so I guess we will never know☹️☹️☹️☹️.
BTW in was on edge
Plz help with math homework
Answer:
10/p or p/10
Step-by-step explanation:
First you must take out the ones that don´t make sense.
10p and p-10 don´t make sense since you are dividing .
Answer:
10/p
Step-by-step explanation:
10 is being divided into p amount of piles
PLASE HURRY
Given an equilateral triangle with side length of 2x+4 what is the perimeter of the triangle? To earn full credit, show your work using a method explained in the Orientation.
Perimeter is 30.A triangle's perimeter is measured in the same unit as its side lengths.
What is the perimeter of the triangle?Additionally, a triangle's perimeter and side lengths are measured in the same unit.If the lengths of its sides are measured in a different unit, first convert them to that unit.
Perimeter of a triangle = sum of all three sides.
Since it's equilateral, just solve for x with any of the 2 sides being equal
2x + 4 = 3x + 1
Subtract 1 from both sides
2x + 3 = 3x
Subtract 2x from both sides
3 = x
Perimeter is 10 + 10 + 10 = 30
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find the value of x. round the length to the nearest tenth. PLZ HELP ME.
Answer:
x ≈ 7.9 ft
Step-by-step explanation:
cos∅ = adjacent over hypotenuse
Since we are dealing with a right triangle, we can use trigonometry to help us solve for missing values:
cos44° = x/11
11cos44° = x
x = 7.91274
x ≈ 7.9 ft
Help me with the problem please
Answer:
Consecutive Interior Angles.
Step-by-step explanation:
They are consecutive interior angles because they are non-adjacent and they lie on the same side of the interior of the transversal.
someone pls help me urgently
The x-intercepts and slopes of 18y = -3x + 4 and 4/3 x - 5 = 3y are -1/6, (0, 2/9), (4/3, 0) and 4/9, (0, -4/3) and (3, 0) respectively
Intercepts and slope of a lineA line is defined as the shortest distance between two points. The equation of a line in slope-intercept form is expressed as;
y = mx +b
where
m is the slope
b is the y-intercept
For the equation 3x + 18y = 4
18y = -3x + 4
y = -1/6x +2/9
Slope = -1/6
y-intercept =(0, 2/9)
For the x-intercept;
18(0) = -3x + 4
3x = 4
x = 4/3
The x-intercept of the line is (4/3, 0)
For the equation 4/3 x - 5 = 3y
3y = 4/3 x - 4
y = 4/9 x - 4/3
The slope = 4/9
y-intercept = (0, -4/3)
For the x-intercept
3(0) = 4/3 x - 4
4/3 x = 4
x = 3
The x-intercept of the line will be (3, 0)
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Destiny gets a weekly allowance of $18. She uses her allowance to download 3 songs each week. Each song costs $2. Destiny also uses $7 of her allowance to go to the rock-climbing gym each week. She puts the rest of her allowance in her college fund. How much money does Destiny put in her college fund each week?
Answer:
$5
Step-by-step explanation:
Her weekly allowance is $18
she downloads 3 songs , each song costs $2
18 - 2x3 = 18-6 = $12 left with her.
She uses $7 to go to the rock-climbing gym
$12-$7 = $5
She puts the rest ($5) in her college funds.
Which linear function represents the line given by the point slope equation y 1 3 x 5 )? F x 3x 6 f/x 3x 4 F x 3x 16 F x 3x 14?.
The linear function which represents the line is y = - 3x + 14.
What is Point slope form?
Point slope form is used to represent a straight line using its slope and a point on the line. It means that the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point-slope form.
Main body:
y - y1 = m (x - x1)
where, (x, y) is a random point on the line and m is the slope of the line.
The given point-slope equation is
y + 1 = - 3 (x - 5)
By further calculation
y + 1 = -3x + 15
y = -3x + 15 - 1
y = -3x + 14
Therefore, the linear function which represents the line is y = - 3x + 14.
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A group of 29 friends get together to play a sport first person must be divided into team each team has to have exactly 4 players and no one can on a team more than once. How many team can they make
Answer:
7 teams remaining a person
Step-by-step explanation:
29/4 = 7 remainder 1
Quick algebra 1 assignment for some points and brainliest!
(EASIER THAN IT LOOKS)
Only help if you know the answer PLEASE HELP EXPERTS AND GENIUSES ITS DUE TOMMAROW
(ANSWER ALL 4 PARTS OF THE ASSIGNMENT PLEASE :p )
1. The 100 prisoner experiment: 100 prisoners are about to be executed (you can use paper stick figures to model 100 prisoners, or you can do about 10), but the warden has agreed to allow all prisoners to be commuted to a 6-month sentence if they can pass one game. The game states that 100 pieces of paper with each of the prisoner's numbers are to be randomly shuffled into boxes that have random prisoner's numbers (where the number on the paper does not match the number on the boxes.) Each prisoner is allowed to open 50 boxes to find their number such that they have a \(\frac{1}{2}\) chance of finding their number. If you find your number, you are cleared to another room to wait. If you don't, then you've messed up huge. If even one prisoner does not find their number, all the prisoners die. If all of the prisoners find their numbers, they all get 6-month sentences instead. The chance of all the prisoners randomly finding their numbers is \((\frac{1}{2})^{100}\), which is about a 0.0000000000000000000000000000008% chance. 30 zeros after the decimal placement. For reference, two people have a better chance of picking up the same grain of sand from any of the beaches in the world than finding their numbers randomly.
The Vickrey Auction can be modeled into an experiment by testing people's psychological thinking. You can do this with any of your friends. In a Vickrey auction, you put your bids into a closed letter. For an item, the highest bidder wins the auction, but does not pay what he or she put their bid under in the auction, but rather pays what the second bidder had bidded. It teaches people to be more honest, because if you bid the highest and win, you pay the second-highest bidder's payment, which could also be almost equally as high and could cost you a fortune for an undervalued item.
Another great experiment you can do is to measure the different unsynchronizations of analog clocks that are not close together. Scientists have measured atomic clocks that are just a millimeter apart that start ticking in different measures.
2. I select the 100-prisoner experiment.
3. A curved graph like -x^2 would fit perfectly.
4. A quadratic function would fit my experiment the best. The best graph to use would be \(y = -x^2\). An equation with a large curve would be the best for this type of experiment to graph success and failure. More than three quarters of my graph wouls be full of failure and maybe a little more than 10% would be full of success if repeated over 100,000 times. I am not too sure though.
The Punnett square below shows the cross between two parents heterozygous for two traits. In horses, the allele for black color (B) is dominant over the allele for white color (b). Long hair (H) is
dominant over the short hair (h).
1. What are the genotype and phenotype of the offspring in block A, B, C, D, and E?
2. What is the probability of getting a black horse with short hair?
Genotype
Phenotype
A
B
с
D
E
See the attached table of genotypes.
A black horse with short hair has genotype Bxhh, where the x can be either B or b. According to the table, 3 of the 16 possible genotypes match this pattern, so the probability is 3/16.
Find the rectangular coordinates of the point with the polar coordinates. (-5, 5pi/3)
The rectangular coordinates of the point with the polar coordinates (-5, 5π/3) are (-5/2, 5√3/2).
To find the rectangular coordinates, follow these steps:
To convert polar coordinates to rectangular coordinates, we will need to apply the formulas x = r·cosθ and y = r·sinθ, where r is the distance from the origin, r= -5 and θ is the angle measured in radians, θ= 5π/3.We can substitute these values into the formulas to get x = -5 cos (5π/3) = -5 (1/2) = -5/2 and y = -5 sin (5π/3) = -5 (-√3/2) = 5√3/2.Learn more about rectangular coordinates:
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It costs $30 to rent a moving van plus $0.75 per mile. What is the maximum distance that can be driven to keep the total less than $50.
Answer:
26 miles
you welcomeeeeee
write an equivalent expression by distributing the “-“ sign outside the parenthesis: -(-0.1p+4)
The equivalent of the expression -(-0.1p+4) is 0.1p-4
What is equivalent of expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value.
For example: 3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18. and can also be written as 6(x² + 2y + 1) = 6x² + 12y + 6.
Similarly -( - 0.1p + 4) can be written in another for by multiplying the negative sign with every term in the parentheses.
therefore -1× -0.1p + -1×4 = 0.1p -4
This means -(-0.1p+4) and 0.1p -4 are equivalent
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The figure below is made of 2 rectangular prisms. What is the volume of this figure? A shape made up of two rectangular prisms. The first rectangular prism has a base that measures 2 centimeters length by 8 centimeters width, and has a height of 2 centimeters. The second rectangular prism sits next to the first rectangular prism. It has a base that measures 3 centimeters length by 8 centimeters width and has a height of 6 centimeters.
Pls solve in under 30 min!
Answer:
To find the volume of the figure made up of two rectangular prisms, we need to find the volume of each rectangular prism and add them together.
The first rectangular prism has a base of 2 cm by 8 cm and a height of 2 cm. Its volume can be found using the formula V = lwh, where l is the length, w is the width, and h is the height:
V1 = 2 cm x 8 cm x 2 cm = 32 cm^3
The second rectangular prism has a base of 3 cm by 8 cm and a height of 6 cm. Its volume can be found using the same formula:
V2 = 3 cm x 8 cm x 6 cm = 144 cm^3
To find the total volume of the figure, we can add the volumes of the two rectangular prisms:
Vtotal = V1 + V2 = 32 cm^3 + 144 cm^3 = 176 cm^3
Therefore, the volume of the figure made up of two rectangular prisms is 176 cubic centimeters.
If the perimeter of a rectangle is 24 feet and on eof the sides has a lenght of x feet then the area of the rectangle is
If the perimeter of a rectangle is 24 feet and one of the sides has a length of x feet, the area of the rectangle is A = x (12 - x).
Let's consider a rectangle with one side measuring x feet. The perimeter of a rectangle is given by the formula
P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width.
In this case, since one of the sides has a length of x, we can substitute the values in the formula as follows:
24 = 2(x + w)
Simplifying the equation, we have
12 = x + w
To find the area of the rectangle, we use the formula A = lw, where A represents the area, l represents the length, and w represents the width. Since we know that one of the sides has a length of x, we can substitute x for the length, resulting in
A = xw
To determine the value of the width, we can rearrange the equation
12 = x + w to express w in terms of x, which gives w = 12 - x.
Substituting this value into the area formula, we have
A = x(12 - x)
This expression represents the area of the rectangle in terms of x.
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Tina bought a painting while on vacation in 2009. The table below shows the value of the painting in2009,2010,and2011. If this trend continues, what will be the value of the painting in 2030?
Year: 2009, 2010, 2011
Value of painting: $75, $88.50, $104.43
A) $1,915.42
B) $2,044.19
C) $2,103.73
D) $2.279.55
E) $2,424,28
(The Year and value thing is a table, the first one listed on year goes with the first one listed on the value and so on)
Please help!!
Answer:
The answer is E
Step-by-step explanation:
We first are going to look at our first term on the table(the number that comes up first) which is $75.
Then we have to find the common factor. So, you divide the second number by the first number( 88.50 divided by 75 which gets us 1.18).
Now, since we found the first term and the common factor, we are going to have to find the exponent for our f(x) equation.
We know that she bought the painting in 2009! Now the problem is asking how much the painting will cost in 2030. So, you will subtract 2030-2009 which gets you 21! So 21 is your exponent!
Equation: F(x)= 75(1.18) ^21
The answer that you get is: $2424.28
Let me know if you have any questions!
:)
The value of the painting in 2030 would be $2424.28.
What is the value of the painting in 2030?From the given table, it can be observed that the painting increases in value over the years. Increase in value of the painting from 2009 to 2010 = ($88.50 / $75) - 1 = 18%.
The formula for determining the future value of the painting is:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
N = number of years
The value of the painting in 2030 = $75 x (1.18)^21 = $2424.28
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Triangle ABC is shown in the xy-coordinate plane. The triangle will be translated 2 units down and 3 units right to create triangle A'B'C'. Indicate whether each of the listed parts of the image will or will not be the same as the corresponding part in the preimage (triangle ABC) by selecting the appropriate box in the table.
The coordinates of A' and C' will not be the same. The perimeter and area of ΔA'B'C' will be the same. The measure of ∠B' and the slope of A'C' will be the same.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As per the given translation,
2 units down and 3 units right
The coordinate will change as,(x,y) → (x+3,y-2) so it will change.
The transformation consists only of linear transformation no rotation exists thus area and perimeter will remain the same.
The slope and angle are unchanged irrespective of any transformation.
Hence "A' and C' will not have the same coordinates. The boundaries and surface area of ΔA'B'C' will be identical. The slope of A'C' and the measure of ∠B will be equal.".
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Order the following integers from least to greatest: -32, -43, -28, -22 and 13
Answer:
-22, -28, -32, -43, 13
Step-by-step explanation:
If it is after the digit 0 it will be less than any number above itself.
What is average rate of change Example?
Average rate of change is a way to measure how a function changes over time.
The average rate of change is the average rate at which something changes over a given period of time. It is calculated by taking the difference between the initial and final values of a variable and dividing it by the amount of time that has elapsed.
For example, if the function y = 2x represents the number of hours of work completed in relation to the number of hours worked, then the average rate of change would represent the average number of hours completed for each hour worked. In this example, the average rate of change would be 2, since 2 hours are completed for each hour worked.
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Anyone please help me, deadline is tomorrow.༎ຶ‿༎ຶ wahhhhhhhh huhuhu
mean is average, add all numbers and divide by quantity of numbers.
Median is the middle value, list the numbers from smallest to largest and find the middle number.
mode is the number that appears the most.
1. Mean = 6
Median = 5
Mode = 6
2. Mean = 86.1
Median = 86.5
Mode = 85
15.3/0.012=??????????????
15.3/0.012=??????????????
Answer: 1275