How to calculate mass of an object?

Step-by-step explanation:

To convert degrees into radians you would multiply the degrees number by pi/180

So

555/1 times pi/180

Which would equal

555

pi/180

And you would then simplify by dividing each side with 15 then equaling

37pi/12 radians

And to turn radians into degrees you would multiply by 180/pi

The inequality 3 ≤ x - 2 simplifies to x ≥ 5. This means x can take any value greater than or equal to 5. Therefore, option (E) with a number line from positive 5 to positive 10 is correct.

Given: 3 \(\leq\) x - 2

We need to work out which number line below shows the values that x can take. In order to solve the inequality, we will add 2 to both sides. 3+2 \(\leq\) x - 2+2 5 \(\leq\) x

Now the inequality is in form x \(\geq\) 5. This means that x can take any value greater than or equal to 5. So, the number line going from positive 5 to positive 10 shows the values that x can take.

Therefore, the correct option is (E) A number line going from positive 5 to positive 10.  We added 2 to both sides of the given inequality, which gives us 5 \(\leq\) x. It shows that x can take any value greater than or equal to 5.

Hence, option E is correct.

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The expected value of the uniform variable x is of 101.

The uniform probability distribution is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.

The expected value of the uniform probability distribution is given by the mean of the two bounds, as follows:

E(X) = (a + b)/2.

The chips are labeled with the integers 1 through 100, hence the bounds are given as follows:

a = 1, b = 100.

In this problem, we have two trials, each with a = 1 and b = 100, hence the expected value of x is obtained as follows:

E2(x) = 2E(X) = 2(a + b)/2 = a + b = 1 + 100 = 101.

As the mean of the two trials is calculated as the sum of the means of each trial.

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Perimeter of the Triangle is 3.5 cm

we know that the perimeter of an isosceles triangle is P=2a+b,

hence, our first equation taking the left side of triangle into consideration will be-

P= 2(3x-5)+ 2x

so applying bodmas rule and opening the bracket first,

P= 6x-10+2x

=6x+2x-10

=8x-10….. 1st equation formed

after this, taking into consideration left side of the triangle,

P=2a+b

=2(19-x)+2x

=38-2x+2x

-2x and +2x cancelled with each other

P=38….. 2nd equation.

now adding the value of P from 2nd equation to 1st equation-

38= 8x-10

38-10=8x

28=8x

28 divided by 8=x

x=3.5 cm

Therefore, perimeter of triangle is 3.5cm.

Answer:

Step-by-step explanation:

because this is an isosceles triangle.

3x-5=19-x

4x=24

x=6 cm

perimeter= 12+26

                 = 38cm

Range = max - min

Visually the min and max are the leftmost and right most points on the whiskers. This is assuming we don't have outliers in either direction. The range represents the total width of the box and whisker plot. For movie B, it is wider, so therefore it has a larger range of ages.

We could compute the ranges numerically and compare to see which is bigger, or we could align one endpoint (say the right endpoints) to see that movie B has a wider range.

The answer is 8,32

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The correct option d. the event can take no more than a maximum amount of time, described the  an event has a timebox.

A timebox is a set amount of time during which a work must be completed in agile software development.

Thus, when an event has a timebox, it signifies that the event can only last a certain length of time.

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Answer:

bottom: 12 x 12 = 144

1st triangle: (12 x 8)/2 = 48

2nd triangle: 48

3rd triangle: 48

4th triangle: 48

144 + 48 + 48 + 48 + 48 = 336 cm squared

To determine the number of receptacles required for the bathroom counter space, we need to refer to the electrical code guidelines. The specific requirements may vary depending on the country or region, as well as the local electrical codes in place.

In the United States, according to the National Electrical Code (NEC), at least one 20-ampere-rated branch circuit is required to serve the bathroom receptacles. The code specifies that this circuit should be dedicated solely to the bathroom receptacles and should not serve any other areas.

The NEC also states that at least one receptacle outlet is required on the bathroom countertop. This receptacle should be located within 3 feet of the outer edge of the countertop and should be installed above the countertop surface. This means that a receptacle needs to be placed within reach of the bathroom counter space.

Considering the given information that the bathroom counter space is seven feet, including the sink, we need to install at least one receptacle outlet on the countertop within 3 feet of the outer edge. Depending on the specific layout and size of the counter space, additional receptacles may be required to meet the code's requirements for accessibility and convenience.

To ensure compliance with local electrical codes and safety standards, it is advisable to consult with a licensed electrician or refer to the specific electrical codes applicable in your area. They will be able to provide accurate guidance based on the local requirements and regulations.

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Answer:

1 1/3 or 4/3

Step-by-step explanation:

7 10/12 - 6 6/12 = 1 4/12

simplify.

1 1/3

Answer:

4/3 or 1 and 1/3

Step-by-step explanation:

First we need to make the fractions normal. We multiply 7 times 6 to get 42, then add 42 to 5 to get 47/6. Then we multiply 6 times 2 to get 12, then add 1 to that to get 13/2. Then we multiply both the 13 and the 2 by 3 to get 39/6. Then subtract 39 from 47, this gives us 8/6, we can then simplify this to get 4/3 or 1 and 1/3.

Thus, parametric equation for the circumference of the ellipse : C ≈ 15.3.

To estimate the circumference of the ellipse given by the equation 16x^2 + 4y^2 = 64, we first need to find the parametric equations. Let's divide both sides of the equation by 64 to get:
x^2 / 4^2 + y^2 / 2^2 = 1

Now, we can use the parametric equations for an ellipse:
x = 4 * cos(t)
y = 2 * sin(t)

Now, we can find the arc length function ds/dt. To do this, we'll differentiate both equations with respect to t and then use the Pythagorean theorem:

dx/dt = -4 * sin(t)
dy/dt = 2 * cos(t)

(ds/dt)^2 = (dx/dt)^2 + (dy/dt)^2 = (-4 * sin(t))^2 + (2 * cos(t))^2

Now, find ds/dt:
ds/dt = √(16 * sin^2(t) + 4 * cos^2(t))

Now we can use Simpson's rule with n = 8 to estimate the circumference:
C ≈ (1/4)[(ds/dt)|t = 0 + 4(ds/dt)|t=(1/8)π + 2(ds/dt)|t=(1/4)π + 4(ds/dt)|t=(3/8)π + (ds/dt)|t=π/2] * (2π/8)

After plugging in the values for ds/dt and evaluating the expression, we find:
C ≈ 15.3 (rounded to one decimal place)

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Answer:

Umm nine ways?

Step-by-step explanation:

Answer:

1260

Step-by-step explanation:

35x36

Answer:

7:15. It is 7:15 simplified. Students who rode the bus to students who used other types of transportation simplified

Seniors at Boston College and students in a first-semester business statistics course represent a population and a sample, respectively(C).

A population refers to the entire group of individuals or items that we are interested in studying, while a sample is a subset of the population that is selected for analysis.

In option c, the seniors at Boston College represent a population as they are the entire group of interest. On the other hand, the students in a first-semester business statistics course represent a sample because they are a subset of the population (seniors at Boston College) and are selected for analysis. So c is correct option.

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Answer:

42/2

Step-by-step explanation:

I am not sure if this is correct but i tried my best and this is what i got

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Answer:

True.

Step-by-step explanation:

In a reflection, the orientation of a figure changes. This means that the direction of the shape is reversed, as if it were being viewed in a mirror. For example, if a figure is facing to the right, it will appear to be facing to the left after it has been reflected. The shape itself is not altered by the reflection, only its orientation.

Answer:

x² + 2x + 9 - \(\frac{7}{x+3}\)

Step-by-step explanation:

Using Synthetic division

- 3 |   1    5     15   20

       ↓  - 3   - 6    - 27

     ----------------------------

       1     2      9     - 7 ← remainder r(x)

Quotient Q(x) = x² + 2x + 9

Thus

x³ + 5x² + 5x + 20 = x² + 2x +9 - \(\frac{7}{x+3}\)

Answer:

17

Step 1: rerrange the data

8 , 10, 12, 14, 17, 19, 19, 22, 24

Q2 is the median
see that the middle number is 17

Answer:

y = 1/3x + 8/3

Step-by-step explanation:

The slope of a line that is perpendicular to the line y = -1/3x + 7 is the negative reciprocal of the slope of the given line, which is -3. So, the slope of the perpendicular line is 1/3.

The point where the perpendicular line intersects the given line is also the point where the two lines intersect, which is (4,2) in this case. So, we can use this point to find the equation of the perpendicular line using the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1,y1) is a point on the line.

In our case, the equation of the perpendicular line is:

y - 2 = 1/3(x - 4)

We can simplify this equation to obtain:

y = 1/3x + 8/3

Therefore, the equation of the perpendicular line is y = 1/3x + 8/3.

Answer:

y- intercept = - 2.5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)

m = \(\frac{-25+7}{5-1}\) = \(\frac{-18}{4}\) = - 4.5 , then

y = - 4.5x + c

To find c substitute either of the 2 points into the equation

Using (1, - 7), then

- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5

y- intercept c = - 2.5

Answer:

x= 17

y= 8

QPR= 35

QRP= 60

Step-by-step explanation:

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

the tickets will cost 384 dollars in all

This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm.

The step cadence used during the YMCA 3-minute step test is a set of three stepping cycles per each 20-second period. This means that the participant takes a total of nine steps within each 20-second period. In other words, the participant steps up and down on the platform at a rate of approximately 24 steps per minute. It is important to maintain this consistent step cadence throughout the entire test in order to get an accurate measure of cardiovascular fitness. Overall, the YMCA 3-minute step test is a simple and effective way to assess an individual's aerobic fitness level.

The YMCA 3-minute step test utilizes a specific step cadence to measure an individual's cardiovascular fitness. The answer is that during the test, a cadence of 96 beats per minute (BPM) is used. This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm. Upon completion of the test, the participant's heart rate is measured for a minute to determine their fitness level. The test results can be compared to established norms to gauge overall cardiovascular health and endurance.

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a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.

b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.

a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.

Let's first find the coordinates of the midpoints of BC and AD:

Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)

Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)

Now, let's calculate the slopes:

Slope of AB: (1-2)/(-2-1) = -1/3

Slope of DC: (-2-0)/(-4-2) = -1/3

Since both slopes are equal, AB is parallel to DC.

Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.

Slope of the line passing through the midpoints:

(1-(-1/2))/(3/2-(-3)) = 3/2

Using the midpoint (−3,-1/2), we can write the equation of the line as:

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

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

2y + 1 = 3x + 9

2y = 3x + 8

This equation represents the line passing through the midpoints of BC and AD.

b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.

Length of AB:

√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10

Length of DC:

√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10

Length of the line segment joining the midpoints:

√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10

The sum of the lengths of AB and DC is:

√10 + 2√10 = 3√10

The length of the line segment joining the midpoints is:

(3/2)√10

We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:

(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10

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Answer:

it would be 10

Step-by-step explanation:

The z-score that The z-score that corresponds to the desired level of confidence is often used when creating a confidence interval for a proportion (p).

The crucial z-value for a 98% confidence interval can be calculated by subtracting the confidence level from 1 to obtain the area in the tail and dividing it by 2 to divide the tail area equally. In this instance, (1 - 0.98), / 2, equals 0.01 / 2, or 0.005.We can find the z-score for a cumulative chance of 0.005 in the lower tail using a calculator or a conventional normal distribution table. It is estimated that the z-score is -2.33.

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Answer:

167.4$

Step-by-step explanation:

Because in 4 days he is making 223.20$ so he is makeig 55.8$ a day so instead of 4 days it's 3 what is 55.8 x 3=167.4

Hope this helps have a awesome afternoon:)

Answer:

A

Step-by-step explanation:

For test A, the unit rate is 30 words per minute divided by 4 minutes, or 7.5 words per minute.

Unit rate = 78 words/15 minutes = 5.2 words per minute for test B.

The unit rate for test C is 99 words/22 minutes, or 4.5 words per minute.