i need the termm . THANK UUU

The measure of the angles m∠1 and m∠2 for the polygon are 72° and 54° respectively.

To calculate the sum of interior angles of a polygon, you can use the following formula:

Sum of interior angles = (n-2) x 180 degrees

Where "n" represents the number of sides (or vertices) of the polygon.

Given the 5 sided polygon;

(5 - 2) × 180 = 540

one interior angle = 540/5 = 108°

m∠2 = 108°/2

m∠2 = 54°

m∠1 = 180 - [2(54°)]

m∠1 = 180 - 108

m∠1 = 72°

Therefore, the measure of the angles m∠1 and m∠2 are 72° for the polygon and 54° respectively.

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Lines a and b are parallel based on the Converse of Same-Side Interior Angles Theorem,

The Converse of Same-Side Interior Angles Theorem states that, if the sum of two interior angles on same side of a transversal equals 180 degrees, then the lines they lie on are parallel to each other.

Since  M<7 + m<11 = 180, lines a and b are parallel based on the Converse of Same-Side Interior Angles Theorem,

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Answer:

The answer is

not equivalent

equivalent

Answer: The general form for an equation that models a wave is this: (+/-) a (sin/cos) (2π(x-p)/T), where a is your amplitude, p is your phase shift, and T is your period. The (+/-) becomes + if the graph is to start in the positive direction, and - if it is to start in the negative direction. The (sin/cos) becomes sine if the graph is to start at 0 before being shifted, while it becomes cosine if the graph is to start at the amplitude.

In this case, our graph starts out negative, and at the amplitude with no phase shift, so the (+/-) becomes -, (sin/cos) becomes cos, and p is zero. Substituting in the values given in the problem, a = 9 and T = 7, we find this equation: d = -9cos(2πt/7).

Step-by-step explanation:

Answer:

0.799

Step-by-step explanation:

0.799

The baseball goes a height of 9.5 feet

From the question, we have the following parameters that can be used in our computation:

Initial positions, Po = 5 ft

Initial velocity, Vo = 24ft/s

The function is given as

p(t) = gt² + vot + Po

So, we have

p(t) = gt² + 24t + 5

Also, we have g is -32 ft/sec/sec

This gives

p(t) = -32t² + 24t + 5

Differentiate the function and set to 0

-64t + 24 = 0

So, we have

64t = 24

Divide by 64

t = 0.375

Substitute t = 0.375 in p(t) = -32t² + 24t + 5

p(0.375) = -32(0.375)² + 24(0.375) + 5

So, we have

p(0.375) = 9.5

Hence, the height is 9.5 feet

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Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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Answer:

144 days

Step-by-step explanation:

160 · 0.9

Answer:

4x-8+4y

Step-by-step explanation:

Answer:

4x - 8 + 4y

Step-by-step explanation:

4 (x - 2 + y)

= 4x - 8 + 4y

If the base of the solid is bounded by the curves f(x) = x2 and g(x) = x + 2 and the cross-sections perpendicular to the x-axis are rectangles of height 3 then the volume of the given solid is 9 cubic units.

The volume of the given solid can be found using the method of slicing, where we first determine the area of each cross-sectional rectangle and then integrate it over the specified region.

The base of the solid is bounded by the curves f(x) = x^2 and g(x) = x + 2. To find the region between these curves, we can set them equal to each other and solve for x:

x^2 = x + 2
x^2 - x - 2 = 0
(x - 2)(x + 1) = 0

This gives us two points of intersection: x = 2 and x = -1.

Now, let's find the length of the base of each rectangle, which is the difference between the y-values of the two curves:

Base length = g(x) - f(x) = (x + 2) - x^2

Since the height of each rectangle is given as 3, the area of each rectangle can be calculated as:

Area = Base length * Height = [(x + 2) - x^2] * 3

To find the volume of the entire solid, we integrate the area of the rectangles along the x-axis, between the intersection points -1 and 2:

Volume = ∫[3((x + 2) - x^2)] dx from -1 to 2

Evaluating this integral, we get:

Volume = 3[(x^2/2 + 2x - x^3/3)] from -1 to 2 = 9 cubic units

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Answer:

I would say pretty fast lol It would be traveling about somewhere beetween 30 to 50 mph because it would have hit terminal velocity at that point.

Answer:  (a-b+c)²-(b-c+a)²​

=((a-b+c)) - ((b-c+a)) ((a-b+c)) - ((b-c+a))

= (a-b+c-b+c-a) ( a-b+c+b-c+a)

= (-2b + 2c ) (2a)

= (2( -2b/2+2c/2)) (2a)

=(2(-b+c)) (2a)

=2(-b+c) (2a)

1.716762 is the correct solution up to 6 decimal places by using Newton's method.

The Newton's method is a potent tool, and in general, the convergence is quadratic: as the procedure approaches the root, the discrepancy between the root and the approximation squares, almost doubling the number of accurate digits at each step. The approach does, however, have significant drawbacks. The phrase "Newton's method" refers to Isaac Newton's explanation of a particular application of the method in his books De analysi per aequationes numero terminorum infinitas, which he wrote in 1669 and had William Jones publish in 1711, and De metodis fluxionum et serierum infinitarum (written in 1671, translated and published as Method of Fluxions in 1736 by John Colson).

Given,

f(x)=eˣ+2x-9

f'(x)=eˣ+2

ˣₙ₊₁=ˣₙ-f(ˣₙ)/f'(ˣₙ)

Let, n=1

x₂=1.9074740

x₃=1.7299338

x₄=1.716825

x₅=1.7167621

x₆=1.716762

x₅≈x₆

Therefore, 1.716762 is the correct solution up to 6 decimal places.

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Answer:

work is shown and pictured

The fraction of the occupied apartments is 9/10.

In mathematics, a fraction is a symbol for a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total apartments in the building = 200.

Also,

The number of apartments leased by realtor = 180

The fraction of the apartments which is occupied by realtor

= number of apartments leased /Total apartments

= 180 / 200

= 18 / 20

= 9 / 10

The required fraction is 9/10, implies that from each 10 apartments, 9 apartments are occupied.

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In the successor set, we add a new element to the original set, which is the set itself. This is denoted by the union symbol (∪) followed by the element we are adding, {1, 2, 3}.

The resulting set is {1, 2, 3, {1, 2, 3}}, indicating that the successor set includes the original set as well as the new element.

Essentially, the successor of a set adds the set itself as a new element to the original set.

This concept is often used in mathematical set theory and has applications in various branches of mathematics and computer science.

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Answer:

1

Step-by-step explanation:

The slope of the perpendicular is the negative inverse of the slope of the line.

m = -1 / (-⅓)

m = 3

The slope between the two points is 3, so:

3 = (15 − 6) / (4 − n)

3 (4 − n) = 9

4 − n = 3

n = 1

The mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics

The vector graphics is defined as the computer graphics that the  visual images are created directly from geometric shapes. It is defined on the Cartesian plane such as lines, curves, texts, ovals and other geometric shapes

The vector artworks are the artwork that created by vector graphics. There will be lines curves, text, oval and other geometric shapes according to the mathematical expression

Therefore, the vector graphics is the mathematical instruction that defines the geometric shapes

Hence, the mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics

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The behavior of the graph of the function is that it crosses the x-axis at at each zero

The equationn of the function is given as

f(x) = (x-5)(x-1)(x+4)

Express properly

So, we have

f(x) = (x - 5)(x - 1)(x + 4)

The multiplicities of the factors of the above equation are 1

This means that the graph would cross the x-axis at at each zero

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None of the given answer choices (2 and 4, -2 and -4, 3 and 5, 2 and 3, 1 and 5) are correct.

What is a polynomial?

A polynomial is a mathematical expression consisting of variables (also known as indeterminates) and coefficients, combined using addition, subtraction, and multiplication operations. The variables in a polynomial are raised to non-negative integer powers.

To find the values of "m" for which the function \(y = x^{m}\) is a solution of the given differential equation \(x^{2} y - 5xy' + 8y =0\) we need to substitute \(y = x^{m}\)  into the equation and see which values of "m" satisfy it.

\(x^{2} (x^{m} )- 5xx^{m}' + 8x^{m} = 0\)

\(x^{m+2} - 5(x^{m+1} ) + 8x^{m} = 0\)

Now, we can divide the equation by \(x^{m}\) assuming x not equal to 0

\(x^{2} - 5x + 8 = 0\)

This is a quadratic equation, and we can solve it using the quadratic formula:

\(x=-b+-\sqrt{b^{2}-4ac }/2a\)

For this equation, a=1, b=-5, c=8  Plugging these values into the quadratic formula, we get:

\(x=-5+-\sqrt{25-4*1*5}/2*1\)

\(x=5+-\sqrt{-7}/2\)

Since we have a negative value inside the square root, the quadratic equation has no real solutions. This means there are no values of "m" for which \(y=x^{m}\) is a solution of the given differential equation.

Therefore, none of the given answer choices (2 and 4, -2 and -4, 3 and 5, 2 and 3, 1 and 5) are correct.

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Answer:

6

Step-by-step explanation:

Step 1:

10 = 3x - 8      Equation

Step 2:

18 = 3x      Add 8 on both sides

Step 3:

18 ÷ 3     Divide

Answer:

x = 6

Hope This Helps :)

The equation of the cosine curve is y = A cos(B(x - C)) + D. Period is 2π/B. C is the horizontal shift and D is the vertical shift.

The equation of a cosine curve is given by:

y = A cos(B(x - C)) + D

where:

A is the amplitude, which represents the maximum displacement of the curve from its center.

B is the frequency, which is related to the period of the curve. The period T of the curve is given by T = 2π/B.

C is the phase shift, which represents a horizontal shift of the curve to the left or right.

D is the vertical shift, which represents a vertical displacement of the curve.

So the equation of the cosine curve in its most general form is:

y = A cos(B(x - C)) + D

where A, B, C, and D are constants that determine the characteristics of the curve.

Correct Question :

What is the equation of the cosine curve? Include the period, horizontal shift (if any), and vertical shift (if any).

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We can proved that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

Let's denote the vertices of the parallelogram as A, B, C, and D, with O as the midpoint of AC and BD.

First, we can see that triangles ABO and CDO are congruent by the Side-Side-Side (SSS) postulate, since they share side BD, and both have sides AB and CO of equal length due to O being the midpoint of BD. Therefore, angles AOB and COD are congruent, and we can denote their measure as θ.

Using the Law of Cosines in triangles ABO and CDO, we can express the squares of the diagonals AC and BD in terms of the sides of the parallelogram:

AC² = AB² + BC² - 2(AB)(BC)cosθ

BD² = AB² + BC² + 2(AB)(BC)cosθ

Adding these two equations together, we get:

AC² + BD² = 2(AB² + BC²)

which is the desired result. Therefore, we have shown that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

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Answer:

Step-by-step explanation:

Set up 8/3 in a long division chart.

You can see how every time I put in 6 to get the number just under 20, I got 18 and subtracted to bring down 2. Then I put the 0 after the decimal because that is the math rule, and I got 20 again. It continues infinitely. So we see our answer is 2.666 with a small line above the last six indicating it is repeating. We write the repeating decimal with 3 places of the value, such as 3 sixes and then put a line over the last to show it repeats forever. However, let's say it was 2.08080808. We would have to put 3 sets of 08 and make it look like 2.080808 with a line over the last pair of 08 to show the 08 repeats.

The interval of places that is within one standard deviation of the mean is 6.01 to 9.11.

The mean of the data sample is calculated as follows;

mean = (6.99 + 5.5 + 7.1 + 9.22 + 8.99) / 5

mean = 7.56

The standard deviation of the data sample is calculated as follows;

∑ ( x - mean)² = ( 6.99 - 7.56)² + (5.5 - 7.56)² + (7.1 - 7.56)² + (9.22 - 7.56)² + (8.99 - 7.56)²

∑ ( x - mean)²  = 9.58

S.D = √ (∑ ( x - mean)² / (n - 1)

S.D = √ (9.58 / (5 - 1)

S.D = 1.55

One standard deviation below the mean = 7.56 - 1.55 = 6.01

One standard deviation above the mean = 7.56 + 1.55 = 9.11

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Answer:

6%

Step-by-step explanation:

It would take Tracy and Dave approximately 4.8 hours to complete the task together. So, the correct option is C.

To solve this problem, we can use the formula:

time = work / rate

where work is the amount of work to be done (in this case, collecting signal strength data from each house), and rate is the rate at which the work is being done.

Let's start by finding Tracy's and Dave's individual rates:

Tracy's rate: 1 job / 8 hours = 0.125 jobs per hour

Dave's rate: 1 job / 12 hours = 0.0833 jobs per hour

Now, let's find their combined rate when they work together:

Combined rate = Tracy's rate + Dave's rate

Combined rate = 0.125 + 0.0833

Combined rate = 0.2083 jobs per hour

Finally, we can use the formula time = work / rate to find how long it would take them to complete the task together:

time = 1 job / 0.2083 jobs per hour

time ≈ 4.8 hours

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Answer:

SACAN MÃ QR VÀ NHẬN CÂU TRẢ LỜI

VUI LÒNG ĐƯA TÔI Ở BRAINLIEST

Step-by-step explanation: