A regular octagon is rotationally symmetric.
A regular octagon is a polygon with eight equal sides and eight equal angles. When a regular octagon is rotated by any multiple of 45 degrees (one-eighth of a full rotation), it appears exactly the same as its original orientation. This is because each vertex of the octagon is equidistant from the center of rotation, resulting in the same shape being mapped onto itself. The rotational symmetry of a regular octagon makes it a visually appealing and mathematically interesting geometric figure.
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How does a regular octagon behave when it is rotated and mapped onto itself repeatedly?
Describe the slope of two points.
Marcus plots the point (4, 7) in Quadrant I on the coordinate plane. Nicole then plots the point (4, –3) in Quadrant IV of the same graph. Explain what the line that goes through those two points would look like, and evaluate the slope
Answer:
sample response: Since both points have the same x-coordinate, the line would be vertical. A vertical line has no slope because the run of the graph, which is the denominator, is zero and therefore an undefined fraction.
Step-by-step explanation:
what would the slope intercept equation of the line shown below
Answer:
y = -2x - 4.
Step-by-step explanation:
The points marked are (-2,0) and (0,-4).
The slope of line = (-4-0) / (0- -2)
= -4/2 = -2.
The y-intercept is at y = -4,
so the equation required is y = -2x - 4.
Answer:
y = - 2x - 4
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 )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 4) ← 2 points on the line
m = \(\frac{-4-0}{0+2}\) = \(\frac{-4}{2}\) = - 2
The line crosses the y- axis at (0, - 4) ⇒ c = - 4
y = - 2x - 4 ← equation of line
You have $85 in your bank account. Each week you plan to deposit $7 from your allowance and $15 from your paycheck. The equation b=85+(15+7)w gives the amount b in your account after w weeks. How many weeks from now will you have $210 in your bank account?
Answer:
6 weeks
Step-by-step explanation:
So the amount b we will have in our account w weeks from now is given by the equation:
\(b=85+(15+7)w\)
To find out after how many weeks from now we will have $210, substitute 210 for b and solve for w:
\(210=85+(15+7)w\)
Subtract 85 from both sides:
\(125=(15+7)w\)
Add within the parentheses:
\(125=22w\)
Divide both sides by 22:
\(w=125/22\approx5.68\approx6\)
In other words, we will have $210 after approximately 6 weeks.
1. Fill in the blank with the symbol that will make the expression true: <, >, or =
PLEASE HELP
The correct symbol to fill in the blank is " = " so Fraction of equation is 23/5 = 4(3/5).
What is fraction ?
A fraction is a numerical representation of a part of a whole or a ratio between two quantities. It is written as a pair of numbers, one above the other, separated by a horizontal line called a fraction bar.
The number above the fraction bar is called the numerator, which represents the number of parts being considered. The number below the fraction bar is called the denominator, which represents the total number of equal parts that make up the whole.
According to the question:
The expression we're given is:
23/5 ? 4(3/5)
We need to fill in the blank with one of the symbols <, >, or = to make the expression true.
To compare fractions, we can cross-multiply and compare the resulting numerators.
Let's start by simplifying 4(3/5) to an improper fraction:
4(3/5) = (4*5 + 3)/5 = 23/5
So, our expression becomes:
23/5 ? 23/5
To make this expression true, we need to fill in the blank with the symbol =, since 23/5 is equal to 23/5:
23/5 = 4(3/5)
Therefore, the correct symbol to fill in the blank is =.
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graph the inequality 3x- 6≤ -3
Answer:
x≤ 1
Step-by-step explanation:
3x-6≤ -3
+6
3x≤ 3/3
A university in the United States is analyzing the scholarship examination scores for freshman applications, where the historical mean is 950. A historical population standard deviation is 180 which is assumed to be known. A sample of 300 applications provided a sample mean= 945. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. Find the following: The Null Hypothesis [ Select] The Alternative Hypothesis = [ Select] The Standard Error of the mean = [ Select ] The Test Statistic = [ Select ] The p-value = [ Select] A Using alpha = .05, the outcome of a hypothesis test is to [Select ] Find the 95% confidence interval estimate of the population mean examination score = [ Select] Using the confidence interval the outcome of a hypothesis test is to [Select] Screenshot
The Null Hypothesis: The mean examination score for the new freshman applications is equal to 950.
The Alternative Hypothesis: The mean examination score for the new freshman applications is not equal to 950.
The Standard Error of the mean = 9.83
The Test Statistic = -1.62
The p-value = 0.106
Using alpha = .05, the outcome of a hypothesis test is to fail to reject the null hypothesis. The p-value of 0.106 is greater than the level of significance, which means that we fail to reject the null hypothesis at the 0.05 level of significance.
The 95% confidence interval estimate of the population mean examination score is 931.67 to 958.33.
Using the confidence interval, we can conclude that the population mean examination score is likely to fall between 931.67 and 958.33 with 95% confidence. Since the null hypothesis is not rejected, we can assume that the mean examination score for the new freshman applications is not significantly different from the historical mean of 950.
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5. A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in
such a way that the differences of its distances from two diametrically opposite fixed gates A
and B on the boundary is 7m. Is it possible to do so? If yes, at what distances from the two gates
should the pole be erected?
Answer:
Thus, it is possible to erect a pole at a point p on the boundary of the park at distances 5m and 12m respectively from gates B and A.
Step-by-step explanation:
Let P be the required location of pole .
A and B are the two gates.
Let the distance of pole at p from gate be 'x' meters
i.e. PB = x m
•°• AP = (x + 7)m and AB = 13 m
•°• AP² + BP² = AB² => (x +7)² + x =13²
Rejecting x =-12, we get x = 5
•°• PB = 5m
and
AP = 12m
(I hope this helped :)
What is the slope of the line with this equation y = 7x - 3 ? Explain.
Answer:
7
Step-by-step explanation:
y=mx+bm=pendiente
por lo tanto:
pendiente=7
Hii!
__________________________________________________________
Answer:
Slope = 7! ^^
Step-by-step explanation:
Note that the equation is given to us in slope intercept form.
The slope intercept formula is y=mx+c.
m denotes the slope
c denotes the y intercept.
/--------------\
The slope of the line that we are working with is 7.
Remember how I said that the slope of the line y=mx+c is m?
Similarly, the slope of the line y=7x-3 is 7! ^^
--
Hope that this helped! Best wishes.
--
Combine like terms 3x-7x=
Answer:
-4x
Step-by-step explanation:
3-7=-4 just add a x
help pls!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = -6
Step-by-step explanation:
50+x+46=90
x=90-50-46
x= -6
the $64 strip loin weighs 13 lbs, as purchased. what does 1 ap pound cost?
To calculate the cost of 1 ap pound, we can use the unit price formula, which is:
Unit Price = Total Cost ÷ Total Quantity
the $64 strip loin weighs 13 lbs as purchased.
We can find the cost per pound using the unit price formula as follows:
Total Quantity = 13 lbsTotal Cost = $64Unit Price = Total Cost ÷ Total QuantityUnit Price
= $64 ÷ 13 lbsUnit Price = $4.92 per pound
Therefore, the cost of 1 ap pound of the $64 strip loin is $4.92.
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Please help me with my work
Please last one tysmmmm it’s just a basic simplify one
Pls help i will mark brainliest if correctシ♡︎
Answer:
so
Step-by-step explanation:
it would be (3,1) is (-3,1)
next is (3,4) it would be (-3,4)
(1,4) is (-1,4)
have a nice day and if its right brainlest please?
Look at the attached image to find the problem. Please explain to me how you got both of the answers.
Answer: Sample space for:
Coin (S) ={H, T}
Spinner (S) = {Green, Red, Orange, Purple, Yellow}
All the Possible outcome for:
Coin =1
Spinner = 1
The total outcome there = 7
Probability of flipping tails and not spinning purple or green
=11/10
Step-by-step explanation:
All the Possible outcome for:
Coin =1/2+1/2=1
Spinner = 1/5+1/5+1/5+1/5+1/5=1
The probability of flipping tails. = 1/2
The probability of not spinning purple or green = 3/5
Therefore, the probability of flipping tails and not spinning purple or green
= 1/2+3/5
=11/10
102×98
Search using factors.
Answer:
9996
Step-by-step explanation:
Solve for x????helpp
The value of x is 128 degrees, given that two lines intersect at 140 degrees and (x+12) degrees and one of the angles formed by the intersection is (x+12) degrees.
If two lines intersect, the angle formed at the point of intersection is 180 degrees. We are given that the intersection of the two lines creates an angle of 140 degrees. Let's call the other angle formed by the two lines "y". Then we have:
140 degrees + y = 180 degrees
y = 180 degrees - 140 degrees
y = 40 degrees
Now, we are also given that one of the angles formed by the two lines is (x+12) degrees. We can set up an equation using this information:
x + 12 + y = 180 degrees
x + 12 + 40 degrees = 180 degrees
x + 52 degrees = 180 degrees
x = 180 degrees - 52 degrees
x = 128 degrees
Therefore, the value of x is 128 degrees.
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Use Pythagorean Theorem to determine which set of sides can be the sides of a right triangle.
A. 3,4,5
B.4,4,8
C.6,6,12
The value of the function f(x) is 600 when x=0 and decreases by 9% for every one-unit increase in x. Complete the equation that represents the function f(x)
(If you could explain how that'd be great but you don't have to)
Answer:
f(x) = 600*0.91^xStep-by-step explanation:
Decrease by 9% is:
600 - 0.09*600 = 600*(1 - 0.09) = 600*0.91For each following term the previous term decreases by 9% and it is equivalent of multiplying by 0.91
So the function is exponential:
f(x) = 600*0.91^xAnswer:
so i made sure i got this correct. the answer is 600*0.91^x
Step-by-step explanation:
How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.
ANSWER PLS
thank you so much!
beep and peeb and bee and pee
Answer:
6
Step-by-step explanation:
the one E doesn't count so 3! is 3*2*1 which is 6
PLZ MARK ME BRAINLIEST
Find the area of the following trapezoids
The area of the trapezoid is 12 sqrt(39) square centimeters.
To find the area of a trapezoid, you need to use the formula:
Area = (a + b) * h / 2
where a and b are the lengths of the parallel sides, and h is the height or perpendicular distance between them.
In this case, we have three sides of the trapezoid given as 8 cm, 5 cm, and 16 cm. However, we do not know which sides are parallel, so we cannot directly calculate the area.
To find the parallel sides, we can use the fact that opposite sides of a trapezoid are equal in length. Since 5 cm is not equal to either 8 cm or 16 cm, we know that the 5 cm side is not parallel to either of the other two sides. Therefore, the parallel sides must be the 8 cm and 16 cm sides.
Next, we need to find the height or perpendicular distance between the parallel sides. To do this, we can draw a line segment from the 5 cm side to the line connecting the parallel sides. This line segment is perpendicular to both the 5 cm side and the line connecting the parallel sides. The length of this line segment is the height of the trapezoid.
To find the length of this line segment, we can use the Pythagorean theorem. The 5 cm side and the height form the two legs of a right triangle, and the length of the hypotenuse is the difference between the lengths of the parallel sides, which is 16 cm - 8 cm = 8 cm. Therefore, we have:
height^2 + 5^2 = 8^2
height^2 = 39
height = sqrt(39) cm
Now that we know the lengths of the parallel sides and the height, we can plug these values into the formula for the area:
Area = (8 cm + 16 cm) * sqrt(39) cm / 2
Area = 24 cm * sqrt(39) cm / 2
Area = 12 cm * sqrt(39) cm
Therefore, the area of the trapezoid is 12 sqrt(39) square centimeters.
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Complete Question
Find the area of the following trapezoids where three sides are 8 cm, 5 cm , 16 cm
Elijah needs to lease out a music studio to record his new album the studio charges and initial studio-use fee plus an hourly fee for each hours in the studio let P represent the total amount of money Elijah would have to pay to use the studio four t hours A graph of P is shown below write an equation for P then state the Y intercept of the graph and determine its interpretation in the context of the problem
Answer:
100+50t
Step-by-step explanation:
Answer:
P = 100+50t
The y-intercept of the function is 100 which represents the initial fee of using the studio.
help help help።help plz
Answer:
The perimeter is 240
Step-by-step explanation:
The side length is 60 and 60*4=240
hope this help!
The two cones below have the same radius, height, and
volume.
6
AA
Are the two cones congruent? Explain and include
details to support your claim.
Answer:
yes
Step-by-step explanation:
The cones are not concurrent because one cone is obliquewhich makes the length of these land height is different have the same radius same volumes and same height are the cones concurrent is the corresponding slant height sorry equal .concurrent counts must have concurrent corresponding slant height with all this corresponding being concurrent
the area of a rectangular city park is 15/56 square miles. the width of the park is 3/7 mile. what is the length, in miles, of the park?
Answer:
5/8 is the length. Just divide 15/56 by 3/7.
Step-by-step explanation:
If a point in the figure below is chosen at random, what is the probability that it is in the shaded region?
Answer:
254/324 which is about 78.4%
Step-by-step explanation:
found area of entire square to be 18² or 324
found area of 4-quarter circles - which equals one circle with radius of 9
A = 81π which is about 70
subtracted 324 and 70 to get 254
ratio of shaded to unshaded is 254 : 324
The Probability of point to lie is in the shaded region= \(\frac{254.34}{324}\)
What is probability ?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
Area of square= side x side
= 18 x 18
= 324 sq. cm.
Area of 4 quadrant =4 x \(\frac{\pi r^{2} }{4}\)
= \(3.14 * 9 * 9}\)
= 254.34 sq. cm.
So, probability that it is in the shaded region= \(\frac{254.34}{324}\)
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solve the compound inequality: 6 < x +5 ≤ 11
Answer:
\(1<x\le \:6\)
Step-by-step explanation:
\(6 < x +5 \leq 11\\\\\mathrm{If}\:a<u\le \:b\:\mathrm{then} , \\\:a<u\quad \mathrm{and}\quad \:u\le \:b\\\\6<x+5\quad \mathrm{and}\quad \:x+5\le \:11\\\\Solve\\6<x+5\\\\\\6-5<x+5-5\\\\1<x\\\\x>1\\\\x+5\leq 11\\\\x \leq 11-5\\\\x\leq 6\\\\\mathrm{Combine\:the\:intervals}\\\\x>1\quad \mathrm{and}\quad \:x\le \:6\\\\1<x\le \:6\)
The solution to the inequality 6 < x +5 ≤ 11 will be (1, 6].
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The inequality is given below.
6 < x + 5 ≤ 11
Subtract 5 from each side of the inequality, then we have
6 - 5 < x ≤ 11 - 5
1 < x ≤ 6
Then the solution to the inequality will be (1, 6].
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Find the probability of obtaining a sample of 1012 adults in which 67% or fewer say they drink the cereal milk. Do you have any doubts about the result of this poll?
0.0188 is the probability of obtaining a sample of 1012 adults in which 67% or fewer say they drink the cereal milk.
The value reduced by the mean, divided by the standard deviation, is the z-score:
Z = x - μ / σ
= \(\frac{0.67 - 0.70}{0.0144}\)
≈ - 2.08
Using table A, calculate the corresponding probability:
P(X ≤ 67 % )
= P (Z < -2.08)
=0.0188
As a result, we highlight that this is an uncommon conclusion given the extremely low chance.
The likelihood that something will happen is what is commonly referred to as probability. We can talk about the chance or likelihood of various outcomes when we don't know how such an event will turn out. Events that match a probability distribution are the subject of statistics. Potential is described by probability. This branch of mathematics examines the probability of a random event. The value's range is 0 to 1.
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pls answer the question in the picture!!! I NEED HELP
Answer:
448=h
Step-by-step explanation:
512 - h = 16 x 2²
512 - h = 16 x 4
512 -h = 64
then subtract 512 from both sides
-h = -448
two negatives equal a positive
h=448
In a binomial situation, n=18 and π=0.60. Determine the standard
deviation*
Answer:
Use colon method
Step-by-step explanation:
So it is more easy