It takes 2/3 yards of ribbon to make a bow. How much ribbon is needed to make 5 bows?

Answer:

20 pi  units^2

Step-by-step explanation:

The shaded sector is a fraction of the WHOLE circle area

  whole circle area = pi r^2 = pi (10^2) = 100pi

the fraction of the whole circle  is  72/360

72/360 * 100 pi = 20 pi     units^2

Let the demand equation be defined as D = a - bp.  So, the answer is: the demand equation is linear and is given by: D = 50 - 1.2p.

The equation be defined as D = a - bp. Where D = Demand in Units P = Pricea = Maximum units that can be sold at zero price b = Price elasticity of demandThe first thing to do is to find the values of 'a' and 'b' given the two sets of data.

That is, for P = $25, D = 20 and for P = $20, D = 30. For P = $25, D = 20,    D = a - bp, 20 = a - 25, bb = (a - 20)/25. .........(1)

For P = $20, D = 30, D = a - bp, 30 = a - 20, bb = (a - 30)/20. .........(2)

Equating (1) and (2), (a - 20)/25 = (a - 30)/20

Cross multiplying and simplifying, 4a - 200 = 5a - 150a = 50

Therefore, substituting into (1), b = (50 - 20)/25 = 1.2.

Thus, the demand equation is: D = a - bp = 50 - 1.2p. Therefore, the demand equation is linear and is given by: D = 50 - 1.2p.

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There are approximately 0.4594 acres in 2.0 hectares.

We need to use the conversion factor between hectares and acres.

Given:

\(1 hectare = 1\) × \(10^4 m^2\)

\(1 acre = 4.356\) × \(10^4 ft\)

To find the number of acres in 2.0 hectares, we can set up the following conversion:

\(2.0 hectares * (1\) × \(10^4 m^2 / 1 hectare) * (1 acre / 4.356\) × \(10^4 ft)\)

Simplifying the units:

\(2.0 * (1\) × \(10^4 m^2) * (1 acre / 4.356\) ×\(10^4 ft)\)

Now, we can perform the calculation:

\(2.0 * (1\) × \(10^4) * (1 /\)\(4.356\) ×\(10^4)\)

= 2.0 * 1 / 4.356

= 0.4594

Therefore, there are approximately 0.4594 acres in 2.0 hectares.

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Not sure about Angle. 13

Answer:

No, its more

Step-by-step explanation:

-2/3 is -0.6666667

-0.625 is greater than -0.666667

Answer:you are correct

Step-by-step explanation:

The Poisson distribution is a probability distribution that describes the number of independent occurrences of an event in a fixed interval of time or space.

In this case, the random variable is the number of occurrences during an interval. Therefore, the statement "the random variable is the number of occurrences during an interval" applies to the Poisson distribution. Another statement that applies to the Poisson distribution is "the probability of the event is proportional to the interval size". This means that the probability of observing k events in a fixed interval is proportional to the length of the interval. However, the statement "the probability of an individual event occurring is quite large" does not describe the Poisson distribution. In fact, the Poisson distribution assumes that the probability of an individual event occurring is small, but the number of events is large. Finally, the statement "the intervals do not overlap and are independent" is not a defining characteristic of the Poisson distribution, although it is often assumed in practical applications. In summary, the Poisson distribution is a probability distribution that models the number of independent occurrences of an event in a fixed interval. The probability of the event is proportional to the interval size, and the random variable is the number of occurrences during an interval.

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The new coordinates of the dilation are M'(-2, 1.5), N'(6, 0) and P'(3, -5.5)

Given that the points M(-4,3) N(12, 0) P(6, -11) are dilated by a scale factor of 1/2.

We need to find the new coordinates of the dilation of the points.

We know that if a point (x, y) is dilated by a scale factor k, then the new points will be (kx, ky).

Therefore,

M(-4,3) = M'(-4/2, 3/2) = M'(-2, 1.5)

N(12, 0) = N(12/2, 0/2) = N'(6, 0)

P(6, -11) = P'(6/2, -11/2) = P'(3, -5.5)

Hence the new coordinates of the dilation are M'(-2, 1.5), N'(6, 0) and P'(3, -5.5)

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Answer:

Malcom's maximum speed = 200 km/h

Ravi's maximum speed = 320 km/h

Step-by-step explanation:

Represent the maximum speed of Malcolm and Ravi with equation as follows:

Let Malcom's speed be x, and Ravi's speed by y.

The average of speed is said to be 260 km/h. An equation to represent this is: \( \frac{x + y}{2} = 260 \)

\( x + y = 260*2 \)

\( x + y = 520 \) => equation 1.

We are also told that when Malcom's speed (x) is doubled it equal 80 km/hr more than Ravi's speed (y). An equation can be created for this, which is \( 2x = y + 80 \)

\( 2x - y = 80 \) => equation 2

Now that we have 2 equations as a system, solve for the values of x and y simultaneously.

Add both equations together to eliminate y

\( x + y = 520 \)

\( 2x - y = 80 \)

\( 3x = 600 \)

\( x = \frac{600}{3} \)

\( x = 200 \)

Plug in the value of x into equation 1 to find y.

\( 200 + y = 520 \)

\( y = 520 - 200 \)

\( y = 320 \)

Malcom's maximum speed = x = 200 km/h

Ravi's maximum speed = y = 320 km/h

Answer:

42(4 + r) is the answer if I'm reading that correctly.

Answer:

Step-by-step explanation:

You ask yourself, "600 is 30% of how many students?". In equation form this looks like:

600 = .30x

Divide both sides by .30 and you'll get that the number of students is 2000

The sign of 3.456+(-3.456) is neither positive nor negative—the sum is zero.

We are asked to find the sign of 3.456+(-3.456)

This expression can be simply written as 3.456 - 3.456 because of the identity we have, x+(-y) = x-y

Now if same quantities are subtracted, we get zero only.

Also zero is neither positive nor negative.

Hence there is no sign for 3.456+(-3.456).

Also 3.456+(-3.456) = 0.

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Answer:

cos 42 = x/20

20*cos 42 = x

x = approximately 14.9 ft

Step-by-step explanation:

hope it helped

Answer: number between 3 1/10 and 3.111111... is 3.1¯.

Step-by-step explanation:

Answer: (-7,3)

Step-by-step explanation: brainly plz

Answer:

(-7, 3)

Step-by-step explanation:

(-7, 3)

since your going over the x axis the x values stays the same

The evaluated probabilities for the given question are 0.20 for the men who asked for promotion, 0.59 for the men who received the promotion when asked, and  0.118 for men who asked for promotion and received.under the condition that from the men interviewed  20% had asked for a promotion and 59% of the men who had asked for a promotion and  received.
Then,
P(man asked for a promotion)
= 20/100
= 0.20

P(man received promotion, given he asked for one)
= 59/100
= 0.59

P(man asked for promotion and received )
= P(man asked for a promotion) x P(man received promotion, given he asked for one)
= 0.20 x 0.59
= 0.118
Probability is considered as  the percentage of an event taking place in a specific time frame, in a given place. It is said to be a great aid in the horizons of science and mathematics.


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Answer:

X Intercept: (6,0)

Y Intercept: (0,2)

Step-by-step explanation:

Plug y = 0 into the equation and solve the resulting equation −3x = −18 for x. Plug x = 0 into the equation and solve the resulting equation −9y = −18 for y.

Answer:

  -1/2

Step-by-step explanation:

You want the limit as x→0 of the ratio (6x -sin(6x))/(6x -tan(6x)).

The given expression evaluates at x=0 to (0 -0)/(0 -0) = 0/0, an indeterminate form. Hence, L'Hôpital's rule applies.

The ratio of derivatives of the numerator and denominator is ...

  (6 -6cos(6x))/(6 -6sec²(6x))

which still evaluates to 0/0 at x=0.

Applying L'Hôpital's rule a second time gives ...

  \(\dfrac{36\sin(6x)}{-72\sec^2(6x)\tan(6x)}=\dfrac{-\cos^3(6x)}{2}\)

At x=0, this evaluates to -1/2.

The limit as x→0 is -1/2.

__

Additional comment

We like to check these limits using a graphing calculator. The graph is in the second attachment.

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When Julie divides 98.6 by 12 , So by the rules of significant figures , the number that Julie should write down is  8.3  .

What are Significant Figures ?

The Significant figures can be defined as number of digits in a value, that is often a measurement, which contribute to degree of accuracy of value. The significant figures is counted from first non zero digit .

The Rule of Significant figures says that , when a number "a" that have 3 significant figures is divided by number "b" having 2 significant figures , then the quotient will have the minimum of the two significant figure that is 2 .

Here 98.6 is divided by 12 ,

the number 98.6 has 3 significant figures ; the number 12 has 2 significant figures ,

So , the result can have maximum of 2 significant figures ,

On dividing 98.6 by 12 , we get the result as 8.2166666..  ;

since the result can have at most 2 sig. figure , So , the result is 8.3 .

Therefore , Julie should write down 8.3   .

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Answer:

x = -32

Step-by-step explanation:

Let x = the missing number

1/2x + 9 = -7        Subtract 9 from both sides

1/2x = -16            Multiply by 2 on both sides to get rid of the 1/2

x = -32

I hope this helped and please mark me as brainliest!

Answer:

right angle I dont really no sorry

Step-by-step explanation:

\(30 + 4x + 2 = 80\)

\(4x + 32 = 80\)

\(4x = 48\)

\(x = 12\)

Therefore, the answer is x = 12.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

18 is the number good luck

Step-by-step explanation:

18+25=43

Answer:

18,25

Step-by-step explanation:

Answer:

3.7 x 10^-3

Step-by-step explanation:

move decimal point 3 spots backwards = 3.7

This integral represents the sum of the volumes of all the infinitesimally thin cylindrical shells that make up the solid.

To set up the integral for the volume of the solid obtained by rotating the region bounded by the curves y = x, y = 0, and x = 4 about the line x = 8, we can use the method of cylindrical shells.

First, let's draw a rough sketch of the region and the axis of rotation:

```

|

|

|       +-----------+

|       |           |

|       |           |

|       |           |

|       |           |

|       +-----------+ <-- x = 4

|       |

|       |

|       |

|       |

|       |

|       |

|       |

|       |

+------------------------ <-- x = 8

```

The region bounded by y = x, y = 0, and x = 4 is a triangle with a right angle at the origin.

To set up the integral, we consider an infinitesimally thin cylindrical shell with radius r, height h, and thickness Δy. The volume of this shell can be approximated as the product of its circumference, height, and thickness.

The radius of the shell, r, is the distance from the axis of rotation (x = 8) to the curve y = x. Since x = y for the region, r = 8 - y.

The height of the shell, h, is the difference between the x-values at the top and bottom of the region. In this case, h = 4 - 0 = 4.

The thickness of the shell, Δy, represents an infinitesimally small change in the y-direction.

Therefore, the volume of the shell is approximately given by V_shell = 2πr * h * Δy.

To find the total volume, we integrate this expression over the range of y-values that span the region. In this case, the integral is set up as follows:

∫[0, 4] 2π(8 - y) * 4 * dy

This integral represents the sum of the volumes of all the infinitesimally thin cylindrical shells that make up the solid. By evaluating this integral, you can find the exact volume of the solid obtained by rotating the region bounded by y = x, y = 0, and x = 4 about the line x = 8.

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Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = 0, X = 4; about x = 8 2 (8 - y2)2 – 16 dy 0

Answer:

A. -∞ < x < ∞

Step-by-step explanation:

The domain of a function is the set of all possible inputs (x values).  We see from the graph that the function extends forever to the left and to the right.  Thus, the domain of the function is all real numbers, as the function extends on the x-axis towards positive and negative infinity.  A. represents this fact.

The signal x; is a discrete signal with N samples and taking values x(n) = &**/N for n = 0,1,...,N-1. The signal Xt is the discrete Fourier transform of x; and is given by:

Xt(k) = Σn=0N-1 x(n) exp(-i2πnk/N)

This means that the Fourier transform of x(n) gives us a set of coefficients, Xt(k), that represent the contribution of each frequency, k, to the original signal x(n). In other words, the relationship between the signals x; and Xt is that Xt is a frequency-domain representation of x;.

The relationship between x and x ¢ is that x ¢ is the complex conjugate of x. This means that if x(n) = a + bi, then x ¢(n) = a - bi. In terms of the Fourier transform, this means that if X(k) is the Fourier transform of x(n), then X ¢(k) is the complex conjugate of X(k). Mathematically, this can be expressed as:

X ¢(k) = Σn=0N-1 x(n) exp(i2πnk/N)

So, the relationship between x and x ¢ is that they are complex conjugates of each other, and the relationship between their Fourier transforms, X(k) and X ¢(k), is that they are also complex conjugates of each other.
Hi! I understand that you want to know the relationship between signals x and x_t, as well as x and x', given a parameter k and a discrete signal x of duration N with values x(n) = &**/N for n = 0, 1, ..., N-1.

1. Relationship between x and x_t:
Assuming x_t is the time-shifted version of the signal x by k units, we can define x_t(n) as the time-shifted signal for each value of n:

x_t(n) = x(n - k)

Mathematically, the relationship between x and x_t is represented by the equation above, which states that x_t(n) is obtained by shifting the values of x(n) by k units in the time domain.

2. Relationship between x and x':
Assuming x' is the derivative of the signal x with respect to time, we can define x'(n) as the difference between consecutive values of x(n):

x'(n) = x(n + 1) - x(n)

Mathematically, the relationship between x and x' is represented by the equation above, which states that x'(n) is the difference between consecutive values of the discrete signal x(n), approximating the derivative of the signal with respect to time.

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