Answer:
octagon
An interior angle of a regular polygon has a measure of 135°, it is an octagon.
Step-by-step explanation:
Answer:
octagon
Step-by-step explanation:
Here are two ways to solve this:
1) The total of the interior angles of a n-gon is given by
(n-2)* 180
then each angle is (n-2)(180)/n
so (n-2)(180)/n = 135
n = 8 so it is an octagon
2) The interior and exterior angles sum to 180
so the exterior angle is 45
the sum of all of the exterior angles = 360
45 n = 360
n = 8 octagon
A trinomial with a leading coefficient of 3 33 and a constant term of − 5 is called:_________
According to the question a trinomial with a leading coefficient of 3 and a constant term of -5 would be 3x² + x - 5.
A trinomial is a polynomial with three terms is in the form of Ax²+Bx+C, where, A is the leading coefficient of veriable X², B is the middle coefficient of x and C is the constant of polynomial.
A trinomial with a leading coefficient of 3 and a constant term of -5.
Here, a=3,c=-5 and consider b=1,
Therefore, a trinomial with a leading coefficient of 3 and a constant term of -5 would be 3x² + x - 5.
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A certain function f is known to have the properties lim x rightarrow - infinity f (x) = 2, lim x rightarrow infinity f (x) = 4. Determine if lim x rightarrow 0- 4 + x/3 + f (1/x) exists, and if it does, compute its value.
As x approaches zero from the left, the expression 4 + x/3 + f(1/x) simplifies to 6. Therefore, the limit lim x → 0- [4 + x/3 + f(1/x)] exists, and its value is 6.
To determine the existence and value of the limit, we need to consider the behavior of the function f(x) as x approaches zero from the left (x → 0-).
Given that lim x → -∞ f(x) = 2, we know that as x approaches negative infinity, f(x) approaches 2. Similarly, from lim x → ∞ f(x) = 4, we can conclude that as x approaches positive infinity, f(x) approaches 4.
Now, let's consider the expression 4 + x/3 + f(1/x). As x approaches zero from the left (x → 0-), the term 4 + x/3 remains constant, and the term f(1/x) becomes f(1/0-) (since 1/x approaches negative infinity).
Since f(x) approaches 2 as x → -∞, we can substitute f(1/x) with 2 in the expression. Thus, the expression becomes 4 + x/3 + 2.
Now, as x approaches zero from the left (x → 0-), the term x/3 approaches 0, while the constant terms 4 and 2 remain unchanged. Therefore, the expression 4 + x/3 + 2 becomes 6.
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Hi!! When we do percents could decimal way be sufficient or will fraction way be?
Answer:
fraction way would be
Step-by-step explanation:
Find the equation of the line in slope-intercept form that passes through the given points (-3,6) and (-1,3).
Answer:
\(\large\boxed{y=-\frac{3}{2}x+\frac{3}{2}}\)
Step-by-step explanation:
Use the two-points slope equation: \(\boxed{m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}}\)
Given the two coordinate points of \((x_{1}, y_{1})\) and \((x_{2}, y_{2})\), implement these values into the equation and solve for m.
\(m=\frac{(3)-(6)}{(-1)-(-3)}\\\\m=\frac{(-3)}{(2)}\\\\m=-\frac{3}{2}\)
The slope is then placed in the equation - y = -3/2x + b.
Then, insert a value for y and x from the same coordinate point to solve for b.
\(6=-\frac{3}{2}(-3)+b\\\\6=\frac{9}{2}+b\\\\\frac{3}{2}=b\)
Then, plug it all in to get \(\large\boxed{y=-\frac{3}{2}x+\frac{3}{2}}\).
Answer:
y=-3/2x
Step-by-step explanation:
First, find the slope with y2-y1/x2-x1=m
3-6 m=-3/2
--------- =
-1-+-3
Now plug it in to point slope form
Point slope form is y-y1=m(x-x1)
y-3=-3/2(x--1) Distribute -3/2 to x and 1
y-3=-3/2x-3 Add three on both sides to get y alone
y=-3/2x Three's cancel out. This is the final equation.
5 -x -x = -1 what is x ?
Answer:
x=3
Step-by-step explanation:
\(5 - x - x = - 1 \\ 5 - 2x = - 1 \\ - 2x = - 1 - 5 \\ - 2x = - 6 \\ x = \frac{ - 6}{ - 2} \\ x = \frac{6}{2} \\ x = 3\)
hope it helped you:)
Answer:
3
Step-by-step explanation:
5-2x=-1
-5__-5
____-6
-2
3
The cars (seats) of a Ferris wheel are positioned 74 feet from its center. If the Ferris wheel makes 4 revolutions every 4 minutes, find the linear speed of one of the cars in feet per second. Round your answer to the nearest hundredth
The linear speed of one of the cars is 7.75 feet per second
The cars (seats) of a Ferris wheel are positioned 74 feet from its center.
The radius, r = 74 feet
The Ferris wheel makes 4 revolutions every 4 minutes
Number of revolutions per minute = 1
Angular speed, w = 1 rev/min
Angular speed, w = 0.10472 rad/sec
The relationship between the linear speed (v), and the angular speed (w) is:
v = wr
Substitute w = 0.10472 and r = 74 feet into the formula:
v = 0.10472 x 74
v = 7.75 feet per second
The linear speed of one of the cars is 7.75 feet per second
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For each of the bookcases a woodworker is building, she
charges $65 for materials. She also charges $35 for each
hour she works to build the bookcases. How much does
the woodworker charge for working 100 hours to build 18
bookcases?
A$4,735
B$3,565
C$3,583
D $4,670
35x100 hours = $3500+$65= $3565 for 100 hours of work and materials.
answer is b
my sister just had this question
Maths Question Maths
Answer:
It will take 9 days for 52 machines to complete same job.
Step-by-step explanation:
39 machines → 12 days1 machine → { 12 * 39 } days1 machine → 468 days52 machines → \(\frac{468}{52}\) → 9 daysAnswer:
9 days for 52 machines to do the same job
Step-by-step explanation:
It will take 39 machines 12 days
1 machine takes 12x39 days
1 machines takes 468 days
52 machines will take 9 days because 468 divided by 52 is 9
Hope it answers your question
Find the dimensions of a rectangle (in m) with perimeter 84 m whose area is as large as possible. (Enter the dimensions as a comma-separated list.)
A. 14, 14 B. 12, 18 C. 10.5, 21 D. 7, 35
The rectangle with dimensions 21 m by 21 m has the largest area among rectangles with a perimeter of 84 m.
To find the dimensions of a rectangle with a perimeter of 84 m that maximizes the area, we need to use the properties of rectangles.
Let's assume the length of the rectangle is l and the width is w.
The perimeter of a rectangle is given by the formula: 2l + 2w = P, where P is the perimeter.
In this case, the perimeter is given as 84 m, so we can write the equation as: 2l + 2w = 84.
To maximize the area, we need to find the dimensions that satisfy this equation and give the largest possible value for the area. The area of a rectangle is given by the formula: A = lw.
Now we can solve the perimeter equation for l: 2l = 84 - 2w, which simplifies to l = 42 - w.
Substituting this expression for l into the area equation, we get: A = (42 - w)w.
To maximize the area, we can find the critical points by taking the derivative of the area equation with respect to w and setting it equal to zero:
dA/dw = 42 - 2w = 0.
Solving this equation, we find w = 21.
Substituting this value of w back into the equation l = 42 - w, we get l = 42 - 21 = 21.
Therefore, the dimensions of the rectangle that maximize the area are l = 21 m and w = 21 m.
In summary, the dimensions of the rectangle are 21 m by 21 m, so the answer is A. 21, 21.
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What is this number in standard form?
(4×100)+(1×10)+(3×1/10)+(5×1/1000)
also the numbers with a / inbetween them are fractions. for example, 1/10 is a fraction.
Answer:
The number in standard form is
Procedure to find the standard form
The standard form of a number is represented as:
Where:
The value of a is between 1 and 10
b is an integer
The number is given as:
Express the fractions as decimals
Evaluate the products
Evaluate the sums
Express as a standard form
Approximate
Step-by-step explanation:
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a statement is a sentence that can be viewed as true or false.
A statement is indeed a sentence that can be viewed as true or false. In logic and mathematics, statements are expressions that make a claim or assertion and can be evaluated for their truth value.
They can be either true or false, but not both simultaneously. Statements play a fundamental role in logical reasoning and the construction of logical arguments. It is important to note that statements must have a clear meaning and be well-defined to be evaluated for truth or falsehood. Ambiguous or incomplete sentences may not qualify as statements since their truth value cannot be determined.
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Charlie’s indifference curves have the equation xB = constant/xA, where larger constants denote better indifference curves. Charlie strictly prefers the bundle (6, 16) to:
a. the bundle (16,6)
b. the bundle (7,15)
c. the bundle (10,11)
d. more than one of these bundles
e. none of these bundles
Charlie strictly prefers the bundle (6, 16) to more than one of the given bundles.
The indifference curves of Charlie have the equation xB = constant/xA, where larger constants represent better indifference curves. In this case, the bundle (6, 16) corresponds to xA = 6 and xB = 16.
To determine if Charlie strictly prefers the bundle (6, 16) to the other given bundles, we compare the values of xB for each bundle while keeping xA constant.
a. For the bundle (16, 6), xB = 6/16 = 3/8.
b. For the bundle (7, 15), xB = 15/7.
c. For the bundle (10, 11), xB = 11/10.
Comparing these values, we can see that xB = 16 is greater than xB for all the other bundles. Therefore, Charlie strictly prefers the bundle (6, 16) to the bundles (16, 6), (7, 15), and (10, 11).
Hence, the correct answer is that Charlie strictly prefers the bundle (6, 16) to more than one of these bundles.
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Ben is going to rotate a figure in Quadrant IV 90 counterclockwise. In which Quadrant should be image be
Consider the wave packet: ψ(x)=[ 2πa 2
1
] 1/2
exp[− 4a 2
(x−⟨x⟩) 2
+i ℏ
px
]. Calculate the uncertainties ⟨Δx 2
⟩=⟨( x
^
−⟨x⟩) 2
⟩ and ⟨Δp 2
⟩=⟨( p
^
−⟨p⟩) 2
⟩, where ⟨ A
^
⟩ denotes the expectation value ⟨ψ∣ A
^
∣ψ⟩ of the observable A
^
on the state ∣ψ>.
The uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).
To calculate the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ for the given wave packet, we need to find the expectation values of the observables (x^ - ⟨x⟩)^2 and (p^ - ⟨p⟩)^2, respectively.
The wave packet is represented by the function ψ(x) = [2πa^2]^(1/2) exp[-4a^2(x - ⟨x⟩)^2 + iℏpx]. Here, a is a constant, ⟨x⟩ represents the expectation value of x, and p is the momentum operator.
To find ⟨Δx^2⟩, we calculate the expectation value of (x^ - ⟨x⟩)^2 with respect to ψ(x). By integrating (x - ⟨x⟩)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δx^2⟩ = a^2/2.
Similarly, to find ⟨Δp^2⟩, we calculate the expectation value of (p^ - ⟨p⟩)^2 with respect to ψ(x). Since p is the momentum operator, its expectation value is ⟨p⟩ = 0 for the given wave packet. By integrating (p^ - 0)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δp^2⟩ = (ℏ^2)/(8a^2).
Therefore, the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).
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If you fail two semesters will you be held back?
umm...... No because 1 haven't give any semester
Solve the quadratic F(x)=x^2+10x-1
Please explain.
The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26
To solve the quadratic equation f(x) = x² + 10x - 1
we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation, a = 1, b = 10, and c = -1.
Substituting these values into the quadratic formula:
x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))
= (-10 ± √(100 + 4)) / 2
= (-10 ± √104) / 2
Simplifying further:
x = (-10 ± 2√26) / 2
= -5 ± √26
Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:
x = -5 + √26 and x = -5 - √26
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Which function is graphed below?
On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.
1)y = one-third (3) Superscript x
2)y = 3 (one-third) Superscript x
3)y = (one-half) Superscript x Baseline + 2
4)y = (2) Superscript x Baseline minus 1
By solving a system of equations, we will see that the rational function is:
\(f(x) = \frac{12}{(x + 2)} -3\)
Which rational function is graphed below?
First, we need to see the x-value of the vertical asymptote, here we can see that the vertical asymptote happens at x = -2, then the denominator will be something like:
d = (x - (-2)) = (x + 2).
Then our rational function will be something like:
\(f(x) = \frac{a}{(x + 2)} + c\)
In the graph we can see two things, first:
f(0) = 3
f(1) = 1
Replacing that in our function, we get:
\(\frac{a}{(0 + 2)} + c = 3\\\\ \frac{a}{(1 + 2)} + c = 1\)
This is a system of equations, that can be rewritten as:
a/2 + c = 3
a/3 + c = 1
Isolathing c in both equations, we get:
a/2 - 3 = -c = a/3 - 1
Then we have:
a/2 - 3 = a/3 - 1
Now we can solve this for a:
a/2 - a/3 = 3 - 1
a/6 = 2
a = 2*6 = 12
And the value of c is given by:
-c = a/3 - 1 = 12/3 - 1 = 4 - 1 = 3
c = -3
Then the rational function is:
\(f(x) = \frac{12}{(x + 2)} - 3\)
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Answer:
B. 3(1/3)^x
Step-by-step explanation:
Edg 2022
I don't understand the problem. Can you help me solve it please? I also have an IEP.
Answer:
12
Step-by-step explanation:
The Pythagorean theorem is
a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse ( the side opposite the right angle)
a^2 + b^2 = c^2
Substitute the known values
5^2 + b^2 = 13^2
25+b^2 = 169
Subtract 25 from each side
25+b^2-25 =169-25
b^2 = 144
Take the square root of each side
sqrt(b^2) = sqrt(144)
b=12
Answer:
Given:
a = 5c = 13To find:
missing side b
Solution:
Using Pythagorean theorem,
(Hypotenuse² = base² + perpendicular²)
b² = c² - a²
= 13² - 5²
= 169 - 25
= 144
b = √144
= 12
Plz help me with this questions and show working out thanks
Answer: The steps and answers to the first two are below but you need to understand slope = change in y / change in x = y2 - y1/ x2 - x1
And you need to understand y = mx + c
m= slope c is y intercept
Substitute either point given - only use one as the x and y and find c
Step-by-step explanation:
1. You need to follow the steps -
the point is given as (2,5) = (x,y)
So what this means is x =2 and y =5
Simple substitutions is the step 5 = 3 x 2 + c
5 = 6 + c or easier to see is c + 6 =5
subtract 6 from both sides c + 6 = 5
-6 -6
__________________
c = -1
2.
x1,y1 x2,y2
( 3,2) and (5,6) are two points on the line
you already calculate the slope which is m = noy2-y1/x2-x1 = 6-2/5-3 = 4/2 = 2
Remember y= mx + c
y = 2 x + c
now substitute in (3,2) which is (x1, y1) into the x and y in your equation
2 = 2 (3) + c
2 = 6 + c
subtract 6 from both sides
-4 = c
Now you should use this and do your last question yourself
What is the difference ? Show all your steps.
-4-(-7) =
Answer:
Step-by-step explanation:
−4−(−7)=
The opposite of −7 is 7.
−4+7
Add −4 and 7 to get 3.
3
Answer:
3
Step-by-step explanation:
Think of -4-(-7) as -4+7
just remove the negative and add instead
your answer is 3
Find the vertex of the function given below
\(y = {x}^{2} - 6x + 1\)
Answer:
3,-10...........................
Answer:
vertex = (3, - 8 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
\(x_{vertex}\) = - \(\frac{b}{2a}\)
y = x² - 6x + 1 ← is in standard form
with a = 1 and b = - 6 , thus
\(x_{vertex}\) = - \(\frac{-6}{2}\) = 3
Substitute x = 3 into the function for y
y = 3² - 6(3) + 1 = 9 - 18 + 1 = - 8
vertex = (3, - 8 )
If B = [1 6 -1 2 6 1 -1 -2 4] , C = [2 0 0 -1 -3 6 2 3 -1 ], and A-B=C , what is A ?
The vector A can be determined by adding vector B to vector C element-wise. The resulting vector A is [3 6 -1 1 3 7 1 1 3].
To find vector A, we need to add vector B to vector C element-wise. Element-wise addition means adding corresponding elements of the vectors together. Given that B = [1 6 -1 2 6 1 -1 -2 4] and C = [2 0 0 -1 -3 6 2 3 -1], we can perform the addition as follows:
A = B + C = [1+2 6+0 -1+0 2+(-1) 6+(-3) 1+6 -1+2 -2+3 4+(-1)]
= [3 6 -1 1 3 7 1 1 3]
Thus, the resulting vector A is [3 6 -1 1 3 7 1 1 3].
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Write the polynomial function with least degree and a leading
coefficient of 1 that has the given zeros.
Answer:
UWU
Step-by-step explanation:
UWUSADASDSADASDASDASCX
Answer:
UWU
Step-by-step explanation:
MARK ME AS BRAINLIEST I AM AJJUBHAI94 GRANDMASTER PLAYER OF FREE FIRE
An algorithm is a calculation that determines how long it will take to solve a problem. True or False?
The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.
An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.
Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.
Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.
In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.
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A plate moving at a rate of 4 is moving toward a plate that is 10,000 km away. In how many years will the plates collide?
Answer:
the answer is 250 million years
Step-by-step explanation:
Answer: 250 million years
Two red and two blocks are placed into a bag you take one of the blocks out of the bag what is the probability the block is not blue
Question:
Two red and two blue blocks....
Answer:
\(P(Not\ Blue) = \frac{1}{2}\)
Step-by-step explanation:
Given
\(Red = 2\)
\(Blue = 2\)
Required
Probability of not selecting blue
First, we calculate the probability of selecting blue
\(P(Blue) = \frac{Blue}{Total}\)
\(P(Blue) = \frac{2}{2+2}\)
\(P(Blue) = \frac{2}{4}\)
\(P(Blue) = \frac{1}{2}\)
In probability:
Opposite probabilities sum up to 1 i.e.
\(P(Blue) + P(Not\ Blue) = 1\)
This gives
\(\frac{1}{2} + P(Not\ Blue) = 1\)
\(P(Not\ Blue) = 1 - \frac{1}{2}\)
\(P(Not\ Blue) = \frac{2-1}{2}\)
\(P(Not\ Blue) = \frac{1}{2}\)
Answer:
the answer would be 1/2 .,
please help with number 9!!!
Answer:
2 + sqrt(3)
Step-by-step explanation:
Roots that contain square roots come in pairs
If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)
2 -sqrt(3) means there is a root 2 + sqrt(3)
to calculate a percent increase, the portion is the missing element. True or false?
False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.
The formula for calculating a percent increase is:
Percent Increase = (Final Value - Initial Value) / Initial Value * 100
In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.
By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.
Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.
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in hypothesis testing, the term critical value refers to: group of answer choices the probability, 1 - , of avoiding the type i error of erroneously rejecting a null hypothesis that is in fact true the value of a test statistic that divides all possible values into an acceptance region and a rejection region the probability, 1 - , of avoiding the type o error of erroneously rejecting a null hypothesis that is in fact true any sample result that leads to the continued acceptance of the null hypothesis because it has a high probability of occurring when the null hypothesis is true the probability, 1 - , of avoiding the type ii error of erroneously accepting a null hypothesis that is in fact false
In hypothesis testing, the critical value refers to the value of a test statistic that divides all possible values into an acceptance region and a rejection region.
The null hypothesis is a statement that assumes there is no significant difference between two or more variables. The probability, 1-alpha, represents the level of significance that is set before conducting a hypothesis test. This probability is used to determine the critical value, which is the point beyond which the null hypothesis will be rejected. The critical value is important because it helps to determine whether a sample result is statistically significant or not. By comparing the test statistic to the critical value, we can decide whether to reject or accept the null hypothesis.
Therefore, he critical value is a key factor in determining the validity of a hypothesis test and plays a crucial role in explaining the probability of avoiding type I and type II errors.
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Does anyone know the area of the figure?
Answer: uh
Step-by-step explanation: I haven’t done these since 4th grade so I’ve completely forgotten how to do these. If I’m guessing it’s 9? Could you explain how you get the amount? I’ll help you. But my guess is 9.
Answer:
≈ 64.26 ft²
Step-by-step explanation:
The figure is composed of a rectangle ( middle section ) and 2 semicircles which can be combined into 1 complete circle.
area of rectangle = 12 × 3 = 36 ft²
The circle has diameter = 12 - 3 - 3 = 12 - 6 = 6 ft
then radius r = 6 ÷ 2 = 3 ft
area of circle = πr² = 3.14 × 3² = 3.14 × 9 = 28.26 ft²
Then
area of figure = 36 + 28.26 = 64.26 ft²