Match the number of triangles formed or the interior angle sum to each regular polygon.

(LOOK AT THE PICTURE FOR IT TO MAKE SENSE)

number of triangles
formed Is 4

Interior angle sum
Is 1,440

Interior angle sum
Is 1,800

number of triangles
formed Is 6

regular
octagon
0
O
regular hexagon regular decagon regular dodecagon
0
O
0
D

Answer:

8

Step-by-step explanation:

Given:

13 - 0.75w + 8x

where,

w = 12

x = 1/2

13 - 0.75w + 8x

Substitute the value of w and x into the equation

= 13 - 0.75(12) + 8(1/2)

= 13 - 9 + 8/2

= 13 - 9 + 4

= 8

Therefore,

13 - 0.75w + 8x = 8

Answer:

B

Step-by-step explanation:

x² we start with this function

x²-3 moves the vertex down 3 units

(3/5) x² -3 make the parabola a bit more wide because 3/5 is between 0 and 1

Poisson distribution is the measure to summarize the information contained in a probability distribution in a single parameter.

Poisson distribution gives the probability of an event occurring a certain number of times (k) within a specified time period.

It is denoted by λ , which is the mean number of events.

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Answer:

or

You can add whichever is accepted by the program

Step-by-step explanation:

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

14²=8²+x²

x²=14²-8²

x=√132=2√33 unit is your answer

Answer:

$206

Step-by-step explanation:

For your question:

"A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance,

x, from the starting location?"

Please see above for answer.

Let me know if you have any further questions.

The distance, x, from the starting location will be 183.6 miles.

Distance is a numerical representation of the distance between two objects or locations.

Distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.

Let the ship start at point O and proceed for 60 miles in the 34 °S direction to point P. Then, after 150 kilometers Q.

From the obtained value, the angle P can be obtained;

∠P=180°-(45°+20°)

∠P=115°

From triangle,

OP=60 cm

PQ=150

∠P=115°

OQ=x

OQ²=OP²+PQ₂-2OP.PQ.COS∠P

x²=60²+150²-2(60)(150)COS(115°)

x²=3600+22500+7606.8

x²=33,706.8

x=√(33,706.8)

x=183.59

x=183.6 miles

Hence,the distance, x, from the starting location will be 183.6 miles.

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Therefore , the solution to the the given problem of rate of change pollution to environmental damage to prevent damage is in the below listed explanation.

When something changes over time, it does so at a certain rate, or ROC. Therefore, rather than the size of each change individually, it is the rate of change—or, more specifically, its acceleration or deceleration. Rate of change is a concept in finance that is used to comprehend price returns and pinpoint trends' momentum.

Here,

The greatest threats to biodiversity on a global basis are the extinction, degradation, and fragmentation of ecosystems.

As a result of exploitation, pollution, and the introduction of exotic species, individual survival and reproduction rates are reduced.

The rate of increase of deforestation , air pollution , burning of fossil fuel caused environment damage.

Thus In order to prevent  environment damage  , we have to use reusable material , solar energy , renewable energy and non pollutant items.

Therefore , the solution to the the given problem of rate of pollution to environmental damage to prevent damage is in the below listed explanation.

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i) The multiplication of (3.1x\(10^0\)) and (1.5x10) results in 4.65x\(10^1\).

j) The division of (3.1x10) by (1.5x\(10^{-1\)) equals 2.07x\(10^1\).

i) To multiply numbers in scientific notation, we multiply the coefficients (3.1 and 1.5) and add the exponents (0 and 1) together. In this case, 3.1 multiplied by 1.5 gives us 4.65. Adding the exponents, \(10^0\) multiplied by \(10^1\) results in \(10^1\). Therefore, the final result is 4.65x\(10^1\).

j) When dividing numbers in scientific notation, we divide the coefficients (3.1 and 1.5) and subtract the exponents (1 and -1) from each other. Dividing 3.1 by 1.5 gives us approximately 2.07. Subtracting the exponents, \(10^1\)divided by \(10^{-1\) is equivalent to \(10^{(1-(-1))}\) which simplifies to 10^2. Hence, the result is 2.07x\(10^1\).

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The line integral of F over the circle is given by: Circulation = ∮ F · dr = ∫ F(x, y) · (dx, dy). since the expression for p(x, y) is not provided, we cannot obtain the exact result of the circulation without further information.

To find the circulation of the vector field F around the circle of radius 2 with the center at (4, 4), we need to evaluate the line integral of F along the boundary of the circle.

Given that F is the gradient of a scalar function p(x, y) = e^(2x+y+8y^4), we can express F as:

F = ∇p = (∂p/∂x, ∂p/∂y)

To calculate the circulation, we integrate F over the curve defined by the circle with radius 2 and center (4, 4). We parameterize the curve as

x = 4 + 2cos(t)

y = 4 + 2sin(t)

where t ranges from 0 to 2π to trace the entire circle.

Substituting these parameterizations into F, we have:

F = (∂p/∂x, ∂p/∂y) = (2e^(2x+y+8y^4), e^(2x+y+8y^4))

The line integral of F over the circle is given by:

Circulation = ∮ F · dr = ∫ F(x, y) · (dx, dy)

Using the parameterizations for x and y, we calculate the differential of the position vector dr as (dx, dy) = (-2sin(t), 2cos(t))dt.

Substituting all the values into the line integral, we get:

Circulation = ∫ F(x, y) · (dx, dy) = ∫ [2e^(2x+y+8y^4) * (-2sin(t)) + e^(2x+y+8y^4) * 2cos(t)] dt

Evaluate this integral from t = 0 to 2π to obtain the circulation of F around the given circle.

Unfortunately, since the expression for p(x, y) is not provided, we cannot obtain the exact result of the circulation without further information.

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The example that would not be considered a matched pair or paired data is "the unemployment rate in 20 cities last year compared to the unemployment rate in 30 cities this year."

Matched pairs or paired data refers to a situation where two sets of observations are made on the same individuals or subjects. The pairs are matched based on specific characteristics or conditions. In the given options, the first three examples involve paired data as they compare measurements of the same individuals before and after a certain event or intervention. However, the unemployment rates in different cities do not involve matched pairs or paired data. Each city represents an independent data point, and there is no direct pairing or matching between the unemployment rates of last year and this year. The comparison is made between two separate groups of cities rather than within the same set of individuals or subjects.

Paired data is commonly used to assess the impact of a treatment or intervention by comparing pre- and post-treatment measurements on the same individuals. It allows for better control of individual differences and provides more meaningful insights into the effect of the treatment.

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Answer:

x = 138°

Step-by-step explanation:

Since the sum of all angles in a triangle is 180°, we find ∠BAC:

m∠BAC = 180 - (68 + 70) = 42°

Since ∠x and ∠BAC are Supplementary Angles, they add up to 180°:

180 - 42 = x

x = 138°

Answer:

138

Step-by-step explanation:

1. 68 + 70 = 138

2. 180 - 38 = 42

3. 180 - 42 = 138

4. X = 138

Answer:

I'm pretty sure it's Q.

Step-by-step explanation:

It's asking for the additive inverse, or I'm guessing the opposite, which would be Q

Answer:

The absolute value of -5 is 5, it's positive opposite.

Have a fantabulous day <3

Answer:

5

Step-by-step explanation:

the only real math to absolute value is if it negative make it not.

Answer: 84

Step-by-step explanation: 110% of 40 is 44

                                                                         40+44=84

We have been given the coordinate plane showing the points (1, 3); (2, 0.6); and (3, 0.12). We need to find the sequence that is modeled by the graph below. Let us analyze the given points of the graph. It can be noticed that the y-values decrease as x increases.

So, it appears that the given graph represents an exponential function with a common ratio that is less than one. Since we have to find the sequence, we need to determine the general term of this sequence.Let a_n be the nth term of the sequence.The general formula for an exponential function is a_n = a_1 r^(n-1), where a_1 is the first term of the sequence and r is the common ratio.We can find a_1 from the given points of the graph.

We see that when x = 1, y = 3. So, a_1 = 3.To find r, we can find the ratio between any two successive terms of the sequence.Let's take the ratio between the second and first term of the sequence.The second term has coordinates (2, 0.6) and the first term has coordinates (1, 3).So, r = 0.6/3 = 0.2.Substituting the value of a_1 and r in the general formula, we get a_n = 3 x (0.2)^(n-1).Therefore, the sequence that is modeled by the given graph is an = 0.3(5)n − 1.I hope this helps.

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The function that gives the amount of money in dollars, j(n), in Jamie’s account n years after the initial deposit is J(n) = P(1 + (r/3)/100)³ⁿ.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

Given, Jamie deposits $627 into a savings account and the account has an interest rate of 3.5%, compounded quarterly.

P = $627, r =  3.5%.

We know the formula for compound interest compounded quarterly is

A = P(1 + (r/3)/100)³ⁿ.

Or

J(n) = P(1 + (r/3)/100)³ⁿ. (here t is replaced by n).

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The outcomes are

Total Outcomes=3×3=9

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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Estimation and precision are used when the actual value cannot be easily determined or calculated.

Given that, the length is to be measured to the nearest \(\frac 14\ inch\), we have the following observations

So, we have:

\(L_1 = 2\frac 14\) --- the length of the abdomen

\(L_2 = 4 - 2\frac 14\)

Express as improper fraction

\(L_2 = 4 - \frac{9}{4}\)

Take LCM

\(L_2 = \frac{16 - 9}{4}\)

\(L_2 = \frac{7}{4}\)

Express as proper fraction

\(L_2 = 1\frac{3}{4}\) --- the length of the thorax

The number of times (n) the abdomen is longer than the thorax is calculated as follows:

\(n = L_1 \div L_2\)

So, we have:

\(n = 2\frac 14 \div 1\frac 34\)

Express as improper fractions

\(n = \frac 94 \div \frac 74\)

Rewrite as:

\(n = \frac 94 \times \frac 47\)

\(n = \frac 97\)

Express as proper fractions

\(n = 1\frac 27\)

Hence, the abdomen is \(1\frac 27\) times longer than the thorax

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Answer:

Im pretty sure it is

1 1/2 sq ft per hour

3/4 in 2/4

Double it

1 2/4 in 1

Simplifies to 1 1/2

The unit rate that fertilizer cover is 3/2 square foot.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A fertilizer covers 3/4 square foot in 1/2 hour.

So, unit rate fertilizer covers

= 3/4 x 2

= 3/2 square foot.

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Answer:

$500

Step-by-step explanation:

$25 = 5% of x

0.05x = 25

x = 25/0.05

x = 500

Answer: $500

Long-range artillery pieces are typically set at larger elevation angles, ranging from 55 to 65 degrees, rather than the maximum range angle of 45 degrees.

The angle of elevation determines the trajectory of a projectile fired from an artillery piece. When firing at maximum range, an angle of 45 degrees provides the farthest distance the projectile can travel. However, setting the elevation angle slightly higher, in the range of 55 to 65 degrees, offers certain advantages.

By increasing the elevation angle, the projectile follows a higher trajectory and spends more time in the air. This allows for a steeper angle of descent upon reaching the target, increasing the chances of hitting the desired point. Moreover, a higher angle of descent can enhance the effectiveness of certain types of munitions, such as high-explosive rounds.

While the exact elevation angle depends on factors like the projectile's speed, weight, and wind conditions, a range of 55 to 65 degrees is commonly employed for long-range artillery. These angles provide a balance between maximum range and improved accuracy, enabling the artillery piece to engage targets at extended distances effectively.

long-range artillery pieces are typically set at elevation angles between 55 and 65 degrees, surpassing the maximum range angle of 45 degrees. This adjustment in elevation offers improved accuracy and effectiveness when engaging targets over long distances. By utilizing a steeper trajectory and a higher angle of descent, artillery operators can increase the chances of hitting the intended target. These elevation angles provide a balance between maximizing range and achieving the desired level of accuracy, ensuring the artillery's effectiveness in long-range engagements.

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The constants α, β, and k are all zero, and the solution to the IVP is y(t) = e²{-2t}, with t = -0.5ln(7)  the condition limt→∞y(t) = 7,t = -0.5ln(7)

Using the method of undetermined coefficients to find the general solution of the differential equation:

y'' + 3y' + 2y = 0

The characteristic equation is:

r²2 + 3r + 2 = 0

Factoring this equation, we get:

(r + 2)(r + 1) = 0

So the roots are r1 = -2 and r2 = -1. Therefore, the general solution is:

y(t) = c1e^{-2t} + c2e^{-t}

Next, we use the information that y1(t) = e²{-3t} is a solution to the differential equation. Substituting this into the general solution, we get:

e²{-3t} = c1e²{-2t} + c2e²{-t}

equation to solve for c1 and c2. Multiplying both sides by e^{2t}, we get:

e²{-t} = c1 + c2e²t

Taking the limit as t approaches infinity,  that c1 must be zero in order for the right-hand side to converge to a finite value. Therefore, we have:

c1 = 0

Substituting this into the previous equation,

e²{-t} = c2e²t

Dividing both sides by e²t,

e²{-2t} = c2

Therefore, we have:

c2 = e²{-2t}

Substituting these values into the general solution,

y(t) = c1e²{-2t} + c2e²{-t} = e²{-2t}

So α = β = 0 and k = -2. Finally,  the information that limt→∞y(t) = 7. Since y(t) = e²{-2t}, we have:

limt→∞e²{-2t} = 7

Taking the natural logarithm of both sides,

-2t = ln(7)Solving for t,

t = -0.5ln(7)

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In the given scenario, where there is one infinitely long track and overtaking is impossible, the initial situation consists of three equally spaced trains, each moving at a different speed. The trains have the capability to link up when one catches up to the other, resulting in a single train moving at the speed of the slower train.

As the trains move, they will eventually reach a configuration where the fastest train catches up to the middle train. At this point, the fastest train will link up with the middle train, forming a single train moving at the speed of the middle train. The remaining train, which was initially the slowest, continues to move independently at its original speed. Over time, the process continues as the new single train formed by the fastest and middle trains catches up to the remaining train. Once again, they link up, forming a single train moving at the speed of the remaining train. This process repeats until all the trains eventually merge into a single train moving at the speed of the initially slowest train. In summary, on this strange railway line, where trains can only link up and cannot overtake, the initial configuration of three equally spaced trains results in a sequence of mergers where the trains progressively combine to form a single train moving at the speed of the initially slowest train.

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The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.

Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.

The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.

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Step-by-step explanation:

f(0) is 4.

f(3) is 2

f(6) is 0

f(9) is -2

f(12) is -4

if u need a step by step msg me

Answer:

-3

Step-by-step explanation:

the answer is negative 3, because when x is two, y is three

Answer:

f(2) = -3

Step-by-step explanation:

This is the answer because:

1) The question is basically asking what the y-cordinate is.

2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.  

3) When you line up the cordinates, you can see that where x is 2, y is -3.

Therefore, the answer is -3.

Hope this helps! :D