Emma, renee and gigi each served 2/3 of their own cake. Each cake was the same size. Emma served 4 slices, renee served 6 slices and gigi served 8 slices. Choose how many pieces gigi cut her cake into

To solve the equation sin(cos(0)) - sin(0) = 0, we first observe that cos(0) = 1. Substituting this value, we get sin(1) - sin(0) = 0. Since sin(0) = 0, we have sin(1) = 0.

The solutions to sin(x) = 0 are x = nπ, where n is an integer. Therefore, the only solution to the given equation in the interval [0,360°] is 0°.

However, if we consider all possible values of x, then the solutions are given by x = 180°n, where n is any integer. This is because sin(x) = sin(180° - x), and so sin(180°n + x) = sin(x) for all integers n and all angles x. Therefore, the answer is (C) {180°n, where n is any integer}.

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Answer:

Ah yes rsm.

Anyways, AB is parallel to DE so 72= angle BDE. So BDE+2x+2x=180

72+4x=180

108=4x

x=27

The height of the bullet after 3 second is 640m

Motion under gravity refers to the movement of an object whose vertical motion is affected by the presence of gravity. The force that attracts objects downwards is gravity. In fact, gravity works towards the centre of the Earth.

When an object is thrown up, the height of the object is calculated as h = v²/2g

where v is the velocity and g is the acceleration due to gravity.

v = -16t²+ 256(t)

when t = 3s

v = -16( 3)²+ 256

v = -144+256

v = 112m/s

therefore the height attained by the bullet =

h = 112²/2×9.8

h = 640m

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The equation of a line can be expressed in either the general form (Ax + By = C) or the slope-intercept form (y = mx + b). The equation of the line is y = (3/7)x - 3.

Given that the x-intercept is 7 and the y-intercept is -3, we can use this information to find the equation of the line.

The x-intercept is the point where the line crosses the x-axis, meaning the y-coordinate is 0. Therefore, the x-intercept is (7, 0).

The y-intercept is the point where the line crosses the y-axis, meaning the x-coordinate is 0. Therefore, the y-intercept is (0, -3).

To find the equation of the line, we can use the slope-intercept form. The slope (m) can be calculated using the formula:

m = (y2 - y1) / (x2 - x1) = (-3 - 0) / (0 - 7) = -3 / -7 = 3/7

Substituting the slope and the y-intercept (b = -3) into the slope-intercept form, we have:

y = (3/7)x - 3

Therefore, the equation of the line is y = (3/7)x - 3.

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Answer:

rhombus has all angles=90 degress

While hiring change managers, businesses should take into account their nonconformist, risk-taking nature.

To successfully implement organizational change efforts, change managers must question the status quo, take measured risks, and foster creativity. Organizational stability and routine tasks may be maintained more successfully with a large number of conformists, but change managers need a distinct skill set. They must be able to think creatively, try out novel concepts, and deal with ambiguity and uncertainty.

Option 3: Being seen as a rule-following peacemaker may be an asset in some situations, but it is not always necessary for a change manager. Similarly, having a lot of radical innovators (option 4) could backfire if there isn't a balance with other qualities and abilities crucial for effective change management.

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The complete question is:

identify a characteristic of change managers that an organization should consider when employing people.

→ Change managers are nonconformists who take risks.

→ Having a large number of conformist is effective for an organization.

→ Change managers are usually regarded as peacemakers who follow rules.

→ Having a large number of radical innovators is effective for an organization.

While hiring change managers, businesses should take into account their nonconformist, risk-taking nature.

To successfully implement organizational change efforts, change managers must question the status quo, take measured risks, and foster creativity. Organizational stability and routine tasks may be maintained more successfully with a large number of conformists, but change managers need a distinct skill set. They must be able to think creatively, try out novel concepts, and deal with ambiguity and uncertainty.

Option 3: Being seen as a rule-following peacemaker may be an asset in some situations, but it is not always necessary for a change manager. Similarly, having a lot of radical innovators (option 4) could backfire if there isn't a balance with other qualities and abilities crucial for effective change management.

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Answer:

it will be broken into 9*what ever x is

Hope This Helps!!!

Answer:

9×x

Step-by-step explanation:

18+9x+2

20+9×x

that means 9 and x

The probability that the randomly selected numbers are divisible by 3 is 3/10.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

So, the probability that the randomly selected number is divisible by 3:

Numbers under 20 divisible by 3 are: 3, 6, 9, 12, 15, 18

Total numbers: 20

Probability formula: P(E) = Favourable events/Total events

Now, substitute values and calculate as follows:

P(E) = 6/20

P(E) = 3/10

Therefore, the probability that the randomly selected numbers are divisible by 3 is 3/10.

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See

Compare to slope intercept form of line y=mx+b

Rate of change is slope

So

it's

Answer:

$2.50 per mile

Step-by-step explanation:

Given that,

→ y = mx + b

→ y = 2.5x + 7

The rate of change in cost per mile is,

→ slope

→ m

→ [ $2.5 ]

Hence, rate of change in cost is $2.5.

Answer:

−11y^3+7y2^+7y

Step-by-step explanation:

Based on the number of members and the ratio in which they chose the types of film, the number who chose Action in the second week more than the first week is 6 people.

Assuming that the number of members is 99 members, the number who chose Action on the second week were:

= (7 / (5 + 7 + 6)) x 99

= 39 people

The number who chose Action in the first week:

= (5 / (2 + 5 + 8)) x 99

= 33

The difference is:

= 39 - 33

= 6 people

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\(\dfrac{3}{\tfrac 35} = 3 \times \dfrac 53 = 5\)

Answer:

5

Step-by-step explanation:

3 -> \(\frac{3}{1}\)

Method is "Keep, Change, Flip"

\(\frac{3}{1} / \frac{3}{5} =\frac{3}{1} * \frac{5}{3} = \frac{15}{3} = 5\)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

If a radioactive substance remains 80% of the initial amount then the half life of the radioactive substance is 2.5 years.

Given 80% of the initial amount of a radioactive substance remains.

If after 1 year the value or weight of the radioactive substance remains 80% means the rate of disappearing is 20% per annum.

If we clearly observe then it is forming a geometric progression and the rate is 80%.

Geometric progression will be if we assume the initial quantity be 100

is:

100,80,64,.........

we have to calculate the value of years in the value of term is 0.

the value of nth term of a geometric progression is \(ar^{n-1}\)

so,

r is 0.8

100*\(0.8^{n-1}\)=0

\(0.8^{n-1}\)=0

if we calculate this we will find n-1=11

n=12

So the full life of radioactive substance is 12 and the half life will be 6 years.

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58

a right triangle is 90 degrees so you subtract 32 from 90 to find the remainder

Answer:

The third angle is 58 degrees

Step-by-step explanation:

In a triangle all three angles add up to 180 degrees. If you know two sides, add them up then subtract the sum from 180. This will leave you with the last angle measurement.

In a right triangle we always know there is one angle that has a measure of 90 degrees. So now we know two angles 90 and 32.

90 + 32 = 122

180 - 122 = 58

The planning value for the population standard deviation is estimated to be $3,350, and sample sizes of approximately 46, 566, and 2,262 would be needed to achieve desired margins of error of $500, $200, and $100, respectively.

(a) Desired margin of error = $500

The formula for the sample size required to estimate the population mean with a desired margin of error is:

n = (Z * σ / E)²

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of 1.96)

σ = population standard deviation

E = desired margin of error

Since we don't have the actual population standard deviation, we can estimate it using the planning value.

Range of expected salaries = $55,400 - $42,000 = $13,400

Planning value for standard deviation = Range / 4 = $13,400 / 4 = $3,350

Substituting the values into the formula:

n = (1.96 * $3,350 / $500)² ≈ 45.96

Since we can't have a fraction of a sample, we need to round up to the nearest whole number.

Therefore, the sample size needed for a desired margin of error of $500 is 46.

(b) Desired margin of error = $200

Using the same formula:

n = (1.96 * $3,350 / $200)² ≈ 565.44

Rounding up to the nearest whole number, the sample size needed for a desired margin of error of $200 is 566.

(c) Desired margin of error = $100

Using the same formula:

n = (1.96 * $3,350 / $100)² ≈ 2,261.76

Rounding up to the nearest whole number, the sample size needed for a desired margin of error of $100 is 2,262.

(d) Would you recommend trying to obtain the $100 margin of error? Explain.

Obtaining a margin of error as low as $100 would require a sample size of 2,262. While this larger sample size may provide a more precise estimate, it also increases the cost and time required for data collection and analysis. Therefore, the decision to obtain such a small margin of error should be based on the practicality and resources available. It is important to consider the trade-off between the desired level of precision and the associated costs and efforts.

Therefore, the planning value for the population standard deviation is estimated to be $3,350, and sample sizes of approximately 46, 566, and 2,262 would be needed to achieve desired margins of error of $500, $200, and $100, respectively.

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Answer:

23.56 length units

Step-by-step explanation:

To calculate the perimeter of a triangle, we need to calculate the length of all the sides, then sum up the lengths.

To calculate each side, we take the differences of the coordinates of consecutive vertices, square, add, and take square-root (Pythagoras theorem).

Side 1: (3,-2), (5, -8)

difference in coordinates=(2,-6), length=sqrt(2^2+6^2) = sqrt(40)

Side 2: (5, -8), (-2,1)

difference in coordinates=(7,-9), length=sqrt(7^2+9^2) = sqrt(130)

Side 2: (-2,1), (3,-2)

difference in coordinates=(5,-3), length=sqrt(5^2+3^2) = sqrt(34)

Perimeter

= sum of sides

= sqrt(40)+sqrt(130)+sqrt(34)

= 6.32+11.40+5.83

= 23.56 approximately

The required equation of the circle with center (3, 5) and radius 8 is

(x - 3)² + (y - 5)² = 64.

Therefore option C is correct.

The circle is described as the locus of a point whose distance from a fixed point is constant with center (h, k).

The equation of the circle is shown as :

(x - h)² + (y - k)² = r²

where h, k = coordinate of the center of the circle on the coordinate plane

r =  radius of the circle.

With reference from the graph

the center of the circle is (3, 5) and radius of the circle is 8

we then can write  the equation of the circle as,

(x - h)² + (y - k)² = r²

(x - 3)² + (y - 5)² = 8²

(x - 3)² + (y - 5)² = 64

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The complete question is attached as an image.

Answer:

I don't see the composite shape, but the answer is to find the area of each shape inside the composite shape and add them up to get the total area of the shape.

Step-by-step explanation:

Common math formulas:

Area of a circle: A = \(\pi\)r²

Area of a square: A = l × w

Area of a rectangle: A = l × w

Area of a triangle: A = 1/2 of b × h

92 muffins can be made from 23/4 cups of flour.

Let us assume the number of muffins that can be made from 23/4 cups of flour be x. Relating the given information and performing calculation accordingly.

So, number of muffins from 1 cup of flour = 16

Number of muffins from 23/4 cups of flour = 16 × 23/4

Performing division on Right Hand Side of the equation to calculate number of muffins

Number of muffins from 23/4 cups of flour = 23 × 4

Performing multiplication

Number of muffins = 92

92 muffins can be made.

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The linear equation that passes through the two given points is:

y = (1/3)*x - 2

Remember that the general linear equation is written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

First, because the point passes through (0, -2), we know that the y-intercept is b = -2, then we can write:

y = m*x - 2

Using the other point (6, 0) we can find the value of the slope:

0 = m*6 - 2

2/6 = m

1/3 = m

The linear equation is:

y = (1/3)*x - 2

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Given:

The mean of the data set is 2.5.

We are asked to calculate the mean absolute deviation (MAD) of the data set.

Formula for MAD:

MAD = ∑ | xi - μ | / n

Where:

μ = Mean of the data set

xi = Data points

n = Number of data points

Calculation for MAD:

Data set: 1, 2, 3, 4, 5

Step 1: Find the deviations of each data point from the mean.

Data point Deviation from mean

1 -1.5

2 -0.5

3 -0.5

4 -1.5

5 -2.5

Step 2: Find the total deviation (absolute value).

Total deviation (absolute value): 1.5 + 0.5 + 0.5 + 1.5 + 2.5 = 6

Step 3: Calculate the mean absolute deviation (MAD).

MAD = Total deviation / Number of data points = 6 / 5 = 1.2

Rounded to the nearest tenth:

MAD ≈ 1.2

Therefore, the mean absolute deviation (MAD) of the given data set is 1.2 (rounded to the nearest tenth).

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Answer:

\(110\)°

Step-by-step explanation:

\(A+B+C=180\)

\(48+28+C= 180\)

\(70+C=180\)

subtract \(70\) form both sides

\(C= 180\)

plz mark me brainliest. :0

Answer:

that would be

x+2x+42=180

3x+42=180

-42. -42

3x=138

______

3

x=46

Answer:

B.

Step-by-step explanation:

Answer is b

lmk if im wrong

(answer got deleted, lost my brainliest :(. )

Answer:

MN = x(x + 1)/(x + 3)

Step-by-step explanation:

We are given;

MN/LN = PN/QN

From the diagram;

Let MN = y

LN = x + 1 + y

PN = x

QN = x + 3 + x = 2x + 3

Thus;

y/(x + y + 1) = x/(2x + 3)

Rearranging gives;

y(2x + 3) = x(x + y + 1)

2xy + 3y = x² + xy + x

x² + x = xy + 3y

x(x + 1) = y(x + 3)

y = x(x + 1)/(x + 3)

Thus; MN = x(x + 1)/(x + 3)

Answer:

1409.3

Step-by-step explanation:

Let the distance flown by the arrow in feet be \(d\).

\(\sin 20^{\circ}=\frac{482}{d} \\ \\ \frac{1}{\sin 20^{\circ}}=\frac{d}{482} \\ \\ d=\frac{482}{\sin 20^{\circ}} \\ \\ d \approx 1409.3\)

Answer:

  2/15

Step-by-step explanation:

You want to know the fraction that is 2/3 of 1/5.

In this context, "of" means "times."

  2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15

2/15 of the pets are alley cats.