The figure below shows an image of Pac-Man from the classic video game. The "mouth" of Pac-Man forms a central angle of 55.0° in a circle with radius 4.00 millimeters.

Answer:

D) \(x^4\)

Step-by-step explanation:

\(x*x*x*x=x^1*x^1*x^1*x^1=x^{1+1+1+1}=x^4\)

Answer:

(x)(x)(x)(x)  there are 4 x's, so the exponential form would be x^4

Step-by-step explanation:

hope this helps!

First, we need to set up the bounds for the integral. The lower and upper limits of the integral are x = 1 and y = x2, respectively. The integral ∫x1 [cos(x2)dx] is equal to -2/3.

Next, we can substitute the upper limit of the integral into the integrand to get:

∫x1 [cos(x2)dx]

Then, we can use integration by parts to solve the integral. We let u = cos(x2) and dv = dx. This gives us:

du = -2x sin(x2) dx

and

v = x

This gives us:

∫x1 [cos(x2)dx] = x cos(x2) - ∫x1 [-2x sin(x2)dx]

Now, we can solve the second integral. We let u = x2 and dv = -2 sin(x2)dx. This gives us:

du = 2x dx

and

v = -cos(x2)

This gives us:

∫x1 [-2x sin(x2)dx] = -x2 cos(x2) - ∫x1 [2x dx]

Finally, we can solve the last integral. We let u = x and dv = 2 dx. This gives us:

du = dx

and

v = x2

This gives us:

∫x1 [2x dx] = x3 + c

where c is the constant of integration.

Putting it all together, we get that

∫x1 [cos(x2)dx] = x cos(x2) - x2 cos(x2) - x3 - c

Substituting in the limits of the integral, we get that

∫x1 [cos(x2)dx] = 1 - x2 - x3 - c

Since the lower limit of the integral is x = 1, we have that

∫x1 [cos(x2)dx] = -x2 - x3 - c

Substituting in the upper limit of the integral, we get that

∫x1 [cos(x2)dx] = -1 - x2 - x

The integral ∫x1 [cos(x2)dx] is equal to -2/3.

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The area of the figure can be obtained by splitting the figure into smaller components

The area of the irregular figure = Area of A + Area of B + Area of C

Area of A = L X B = 12 x 7 = 84 sq meters

Area of B = L X B = 5 X 8 = 40 sq meters

Area of C = L X B = 5 x 8 = 40 sq meters

Total area = 84 + 40 + 40 = 164 sq meters

Answer:

e = 31

Step-by-step explanation:

The triangle on the left has 2 congruent sides , so is isosceles with 2 congruent base angles of size

\(\frac{180-56}{2}\) = \(\frac{124}{2}\) = 62

Then the interior angle of the triangle on the right is

180° - 62° = 118°

The triangle on the right is also isosceles with 2 congruent base angles, then

e = \(\frac{180-118}{2}\) = \(\frac{62}{2}\) = 31

In this case, because there is a right angle, we can use pythagoras

The solution set for the given equations is x = 4.

What is a set?

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is a mathematical model for a collection of various things.

Here,

we put the value of x in the given equation and justify our answer

when we x=4, we get

5x−5=15

5(4) - 5 = 15

20 - 5 = 15

15 = 15

Hence, the solution set for the given equations is x = 4.

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Answer:

i guess

Step-by-step explanation:

Answer:

0.33333333333e3

Step-by-step explanation:

e = infinity

The inequality which represents this is x ≥ 22 , Option C is the right answer.

When two algebraic expressions are equated using an inequality operator, <, > etc then the expression formed is called Inequality.

IT is given in the question that

There is a number line , with points marked for eighteen, nineteen, twenty, twenty one, twenty two, twenty three.

The twenty two point is marked with an open circle pointing left

The inequality which represents this is

x ≥ 22 , Option C is the right answer.

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Answer:

400

Step-by-step explanation:

The required solution is ∠X'≅∠X, ∠Y'≅∠Y and  ∠Z'≅∠Z.

It is required to find the corresponding angles.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given :

Corresponding angles are

∠X'≅∠X,

∠Y'≅∠Y

∠Z'≅∠Z

Therefore, the required solution is ∠X'≅∠X, ∠Y'≅∠Y and  ∠Z'≅∠Z.

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The correct answer is (d) all of these. when ls1 is actuated and ls2 is not, all the rungs of the program will be evaluated, and as a result, all the output conditions will be true.

In the given ladder logic program, when ls1 is actuated and ls2 is not, all the rungs of the program will be evaluated from left to right and top to bottom to determine the output conditions.

Looking at the program, we see that if ls1 is actuated, it will turn on the output O:2/5 and set the latch L1. Then, in the second rung, if ls2 is not actuated, it will turn on the output O:2/6 and set the latch L2. Finally, in the third rung, if both ls1 and ls2 are not actuated and both latches L1 and L2 are set, it will turn on the output O:2/7.

Therefore, when ls1 is actuated and ls2 is not, all the rungs of the program will be evaluated, and as a result, all the output conditions will be true. Hence, all of the following statements are true:

a) pilot light pl1 (o:2/5) is on.

b) pilot light pl2 (o:2/6) is on.

c) pilot light pl3 (o:2/7) is on.

Therefore, the correct answer is (d) all of these.

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Answer:

its 63

Step-by-step explanation:

Answer:

\( \frac{15.75}{0.25} = \frac{1575}{25} \\ = 63\)

...............................

you didnt put a number line tho :/

Answer:

25

Step-by-step explanation:

that one spongebob meme

haha

:(

theres no number line

Step-by-step explanation:

\(2 \frac{3}{5} \div \frac{7}{9 } \\ \frac{13}{5} \times \frac{9}{7} \\ = \frac{117}{35} \)

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Answer: x < 8

P/s: if -1.x > -a => x < -a/-1

Ok done. Thank to me >:3

\( - 6x \: + \: 18 \: > \: - 30\)

\( - 6x \: > \: - 30 \: - \: 18\)

\( - 6x \: > \: - 48\)

\( \boxed{x \: < \: 8}\)

\( \text{D.} \: \boxed{ \bold{x \: < \: 8}}\)

The probability of getting 5 face cards when taken without replacement is 0.00030473728.

There are 12 face cards in the deck overall.

When six cards are dealt, 12C5 equals 792.

without a replacement

P (5 face cards) = 12/5

P(5)=792 / 2598960 for five face cards.

P(5)=0.00030473728 for five face cards.

When 6 cards are picked from a deck without replacement, the likelihood of getting 6 face cards (a king, queen, or jack) is therefore 0.00030473728.

Probability is a branch of mathematics that deals with numerical descriptions of the likelihood that an event will occur or that a claim is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 indicates the event's impossibility and 1 indicates its certainty.

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The given series is Zn + 4 2) ` 12n + n = 1. We are asked to test its convergence. Applying the Root Test, we find that the limit of the nth root of the absolute value of the nth term of the series is equal to 7/12

The given series can be represented as:

Σ(a_n) = Σ((7n + 4)/(12n + 2))

To apply the Root Test, we need to find the limit as n approaches infinity of the absolute value of the ratio of consecutive terms:

L = lim (n→∞) |a_(n+1) / a_n|

L = lim (n→∞) |((7(n+1) + 4) / (12(n+1) + 2)) / ((7n + 4) / (12n + 2))|

Simplifying the expression, we get:

L = lim (n→∞) |(7n + 11) / (12n + 14)|

As n approaches infinity, the limit will be determined by the highest power of n, which is n in this case:

L = lim (n→∞) |(7/12)|

Since the limit is a constant value (7/12), which is less than 1, the given series converges by the Ratio Test.

Since this limit is less than 1, we can conclude that the series converges.

Therefore, the limit of the nth root of the absolute value of the nth term of the series is equal to 7/12. Since this limit is less than 1, we can conclude that the series converges. Therefore, the given series converges by the Root Test.

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Correlation measures the degree of association between two variables and outliers can distort the relationship between them.

True. One or two extreme data points, also called outliers, can have a dramatic effect on the size of a correlation. This is because correlation measures the degree of association between two variables and outliers can distort the relationship between them.

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Answer:

The probability that the counter  was blue is \(\mathbf{\frac{2}{5}}\)

Step-by-step explanation:

Number of black Counters = 5

Number of blue Counters = 4

Number of white Counters = 1

We need to write down the probability that the counter  was blue.​

First find Total Counters

Total Counters = Number of black Counters + Number of blue Counters + Number of white Counters

Total Counters = 5+4+1

Total Counters = 10

Now, we need to find probability that the counter taken was blue

The formula used is:

\(Probability= \frac{Number\:of\:favourable\:outcomes}{Total\:outcomes}\)

There are 4 blue counters in the back, so Favourable outcomes = 4

\(Probability= \frac{Number\:of\:favourable\:outcomes}{Total\:outcomes}\\Probability= \frac{4}{10}\\Probability= \frac{2}{5}\)

The probability that the counter  was blue is \(\mathbf{\frac{2}{5}}\)

Step-by-step explanation:

For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:

The question gives us two points, (4​,12​) and ​(−1​,−13​), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)  

                                          =  (12 - (- 13)) ÷ (4 - (- 1))

                                          =   25  ÷  5

                                         =  5

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line; where (x₁ , y₁) = (4, 12):

    we could also transform this into the slope-intercept form ( y = mx + c)

                   since y - 12 = 5 (x - 4)

                              y - 12 =  5x + 5 (-4)

                                    y = 5x - 20 + 12

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Answer:

Step-by-step explanation:

330

Answer:

true

Step-by-step explanation:

The answer to the question is true

The probability distribution of the random variable X, which represents the number of spots that turn up when a balanced die is rolled, is a discrete uniform distribution.

This means that each possible outcome has an equal probability of occurring, and the probabilities are evenly distributed across the different values of X.

In a balanced die, there are six possible outcomes, corresponding to the numbers 1 through 6. Since each outcome is equally likely, the probability of each individual outcome is 1/6. Therefore, the probability distribution of X can be represented as follows:

P(X = 1) = 1/6

P(X = 2) = 1/6

P(X = 3) = 1/6

P(X = 4) = 1/6

P(X = 5) = 1/6

P(X = 6) = 1/6

In summary, the probability distribution of the random variable X, representing the number of spots that turn up when rolling a balanced die, follows a discrete uniform distribution, where each possible outcome has an equal probability of occurring, with a probability of 1/6 for each value from 1 to 6.

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Answer:

0.13 to 0.30 mp

Step-by-step explanation:

The general solution to the recurrence relation xₙ = 4xₙ₋₁ - 3nₙ₋₂ with initial conditions x₀ = 0 and x₁ = 1 is xₙ = 2ⁿ⁺¹ - n - 1.

The given recurrence relation xₙ = 4xₙ₋₁ - 3xₙ₋₂, with initial conditions x₀ = 0 and x₁ = 1, can be solved by analyzing the recursive formula. By examining the pattern, we observe that each term xₙ is derived by multiplying the previous term xₙ₋₁ by 4 and subtracting 3 times the term xₙ₋₂.

By solving for xₙ in terms of n using the initial conditions, we find that the general solution is xₙ = 2ⁿ⁺¹ - n - 1.

This solution combines a geometric pattern (2ⁿ⁺¹) with a linear decrement (n + 1) and an offset (-1). It satisfies the initial conditions and represents the sequence for any value of n.

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