use the given values to find the values (if possible) of all six trigonometric functions. (if an answer is undefined, enter undefined.) sin x = 1 2 , cos x = − 3 2

Answer:

the answer for this question is C

Step-by-step explanation:

base radius = 0.8

Height = 3.5

Volume of a cone =

\( \frac{1}{3} \pi {r}^{2} h\)

V=1/3 x 3.14 x 0.8^2 x 3.5

V=2.3445 in^3

V= 2.34 in^3

Answer:

9.219544

Step-by-step explanation:

(8 - -1)^2 + (0 - -2)^2 = 85, sqrt 85 = 9.219544

Answer:

Step-by-step explanation:

Distance formula : d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((8-(-1))²+(0-(-2))²)

d=√((9)²+(2)²)

d=√(81+4)

d=√(85)

d = 9.21954445729

Answer:

if the teacher buys 4 packa of markers and 3 packs of pens she would have the same amount

The total number of red marbles in the vase are 10.

A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.

The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.

Now, according to the question;

Let 'x' be the red marbles in the vase.

Let 'y' be the orange marbles in the vase.

The total number of marbles in the vase are 60

x  + y = 60 (equation 1)

The ratio of red marbles to orange ones is 1:5.

Thus, x/y = 1/5

cross multiplying;

5x = y

or y = 5x

substitute the value of y in equation 1;

x  + y = 60 (equation 1)

x  + 5x = 60

6x = 60

x = 10  (red marbles)

Thus, the number of red marbles in the vase are 10.

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The main answer is that hidden surface removal can often result in faster computations than what your intuition may speed suggest. This can be demonstrated through a geometric example involving  in the plane.

In the context of a clean geometric example, let's consider a scenario where you are given n nonvertical lines in the plane, labeled l1, ..., ln. Each line is specified by the equation y = mx + b, where m represents the slope and b represents the y-intercept of the line. To achieve a basic speed-up in this scenario, you can follow these steps:
Sort the lines in ascending order based on their slopes (m values). This sorting can be done using a sorting algorithm such as quicksort or mergesort. Iterate through the sorted lines from left to right. For each line, check if it intersects with any of the previously processed lines.

This can be done by comparing the y-intercept values (b values) of the current line with the y-coordinate of the previously processed lines at the intersection point.  If the current line intersects with any of the previously processed lines, it means that the current line is hidden by the intersecting lines. Therefore, you can skip further processing of the current line.If the current line does not intersect with any of the previously processed lines, it is a visible line. You can proceed with any further calculations or rendering based on this information. By using this approach, you can optimize the computation process and achieve faster results compared to intuitive expectations. The key is to eliminate the unnecessary processing of hidden surfaces, thereby reducing computational complexity.

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Answer:

288

Step-by-step explanation:

quick calculator use

15% of 250 is 37.5

add that to 250 to get 287.5

can't sell half a shirt so the answer is 288

Answer: Very Easy 3/5 x 7 = 4.2. The decimal 4.3 can be written as the mixed fraction 4 3/10 or as the improper fraction 43/10.

Answer:

21/5= 4 1/5 =4.2 You pick which one 3 possible answers

Step-by-step explanation:

3/5+3/5+3/5+3+5+3/5+3/5+3/5=21/5 kilometers

21/5=4 1/5=4.2

Answer:

8/3 or 2 2/3

Step-by-step explanation:

2/3 ÷ 1/4

The numbers in 2/3 divided by 1/4 are labeled below:

2 = dividend numerator

3 = dividend denominator

1 = divisor numerator

4 = divisor denominator

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

2*4/3*1=8/3

Thus, the answer to 2/3 divided by 1/4 in fraction form is:

8/3

Here we will show you how to calculate 2/3 divided by 1/4. We will give you the answer in fraction form and in decimal form.

Here is 2/3 divided by 1/4 displayed mathematically in colors:

2/3  ÷  1/4

The numbers in 2/3 divided by 1/4 are labeled below:

2 = dividend numerator

3 = dividend denominator

1 = divisor numerator

4 = divisor denominator

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

2 x 4/3 x 1= 8/3

Thus, the answer to 2/3 divided by 1/4 in fraction form is:

8/3

To make the answer to 2/3 divided by 1/4 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

8/3 = 2.6667

The answer is rounded to the nearest four decimal points if necessary.

8/3 is an improper fraction and should be written as 2 2/3.

Answer:

1/3 to 3/4

Step-by-step explanation:

None of the given numbers (-8, 0, 542, 1/2) are irrational. They are all rational numbers.

In the given numbers:

-8: -8 is a rational number because it can be expressed as the ratio of two integers (-8/1).

0: 0 is a rational number because it can be expressed as the ratio of two integers (0/1).

542: 542 is a rational number because it can be expressed as the ratio of two integers (542/1).

1/2: 1/2 is a rational number because it can be expressed as the ratio of two integers (1/2).

None of the given numbers (-8, 0, 542, 1/2) are irrational.

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Based on the information, it can be inferred that this salesperson must make sales equivalent to $28,000 to obtain an equal profit with both options.

To find the amount of money that we must sell to have the same profit with both options we must carry out the following mathematical procedure.

1. We must calculate how much you would earn with option A in a week.

$28 * 40 = $1,120

2. We must make a rule of three to find a value of which 4% is equal to 1,120

Based on the above, the salesperson must sell $28,000 to make the same profit on both options in one week.

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The minimum number of $8 paperback books for inequality n ≥ 23/8, she would need to purchase to qualify for free shipping is 3.

A linear equation is a mathematical equation that describes a straight line in a two-dimensional space. It is an equation that has only one independent variable and one or more coefficients that represent the slope and intercept of the line.

The general form of a linear equation is y = mx + b

Given that n be the number of $8 paperback books Nancy purchases.

The total cost of the books, before taxes;

12 + 8n

To qualify for free shipping, the total cost of the books, before taxes, must be at least $35.

So, the inequality that represents this situation as follows;

12 + 8n ≥ 35

This can be simplified by subtracting 12 from both sides:

8n ≥ 23

Finally, we can divide both sides by 8:

n ≥ 23/8

Since n represents the number of paperback books, and Nancy cannot purchase a fractional part of a book.

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Answer:

y = -1x -5

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-5) / 4 - 0

-4 / 4

-1

y = -1x + b

-5 = -1(0) + b

-5 = 0 + b

b = -5

y = -1x -5

Answer:

It would be -6 degrees Celsius.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0 is the greatest because the other two are negatives

The upper specification limit is 2.520 mm, and the lower specification limit is 2.480 mm.  The process is not capable according to the purchaser's requirement of a capability index of 1.50.

(a) The upper specification limit (USL) is calculated by adding the process mean (2.500 mm) to the upper tolerance (0.020 mm), resulting in 2.520 mm. The lower specification limit (LSL) is calculated by subtracting the lower tolerance (0.020 mm) from the process mean, resulting in 2.480 mm.

(b) The process capability index (Cp) is calculated by dividing the tolerance width (USL - LSL) by six times the standard deviation. In this case, the tolerance width is 0.040 mm (2.520 mm - 2.480 mm) and the standard deviation is 0.004 mm. Therefore, Cp = 0.040 mm / (6 * 0.004 mm) = 1.25.

(c) The purchaser requires a capability index (Cpk) of 1.50, which measures how well the process meets the specification limits. Since Cp (1.25) is less than the desired Cpk (1.50), the process is not capable according to the purchaser's requirement. It is not good enough for the supplier either, as the Cp is less than the desired level.

(d) If the process mean were to drift to 2.497 mm, the Cp value would remain the same at 1.25. Since the Cp value is still less than the desired Cpk of 1.50, the process would still not be good enough for the supplier's needs, even with the changed process mean.

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Your answer is 3 times larger.

The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.

We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h

I hope this helps!

Answer:729

Step-by-step explanation:someone else said it

Answer:

Reflect across the y-axis, stretch the graph vertically by a factor of 3

Step-by-step explanation:

The question has certain errors, in fact the functions are the following:

g (x) = 3 * (2) ^ - x

f (x) = 2 ^ x

The transformation that we can do to obtain the translated graph, Are given in 2 steps, which are the following:

1. When x is replaced by -x, then it reflects the graph on the y axis.

2. 3 multiplies with the function, it means that it stretches the main function vertically in 3 units.

So to summarize it would be: Reflect across the y-axis, stretch the graph vertically by a factor of 3

Answer:

see below

Step-by-step explanation:

Let's call the width w. The length would then be 2w - 6. Since the area of a rectangle = length * width the answer is 208 = (2w - 6) * w.

The expression which is equivalent to the given expression 3/5 divided by 4/7 is given by option d.  3/5 multiply 7/4.

The expression which is equivalent to  the expression  3/5 divided by 4/7 is:

3/5 divided by 4/7 can be expressed as

= ( 3 / 5 ) ÷ ( 4 / 7 )

Convert division sign into multiplication sign we get,

= ( 3 / 5 ) × [ 1 / ( 4 / 7 ) ]

= ( 3 / 5 ) × ( 7 / 4 )

= 3/5 multiply 7/4

Therefore, the correct way of representing the expression 3/5 divided by 4/7 is equivalent to option d. 3/5 multiply 7/4.

The above question is incomplete, the complete question is:

Which of these expression is the same as 3/5 divided by 4/7?

a 3/5 divided 7/4

b 4/7 divided 3/5

c 3/5 multiply 4/7

d 3/5 multiply 7/4

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Answer: the equation is 6+5x=3x+10.

Step-by-step explanation:

to find the number

add 5x+3x

then add 10+6

8x=16

divide by 2 each side.

x=2

Using the range rule of thumb, we can find the values within one standard deviation of the mean foot length. The range of values within one standard deviation of the mean foot length is between 26.99 cm and 29.25 cm.

A group of adult males has foot lengths with a mean of 28.12 cm and a standard deviation of 1.13 cm. In this question, we are given that a group of adult males has foot lengths. The given mean of foot lengths is 28.12 cm, and the standard deviation is 1.13 cm.

The range rule of thumb states that for a normal distribution, about 68% of the values will fall within one standard deviation of the mean, about 95% will fall within two standard deviations, and about 99.7% will fall within three standard deviations. Therefore, we can use the range rule of thumb to find the values within one standard deviation of the mean foot length.

Adding and subtracting one standard deviation to the mean value gives the range of values: (28.12 - 1.13) cm to (28.12 + 1.13) cm, which simplifies to 26.99 cm to 29.25 cm. The range of values within one standard deviation of the mean foot length is between 26.99 cm and 29.25 cm.

Therefore, using the range rule of thumb, we can find the values within one standard deviation of the mean foot length. The range of values within one standard deviation of the mean foot length is between 26.99 cm and 29.25 cm.

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Answer:

6 cards are dallas cowboy cards

Step-by-step explanation:

Answer: $50,750

Step-by-step explanation: To get the percentage of a number, you need to turn the percent into a decimal, then multiply it with the number you need the percentage of. 35% translates into 0.35. Then you would multiply 145,000 by 0.35, getting 50,750 as your answer!

The given differential equation is `(27xy + 45y²) + (9x² + 45xy)y' = 0`.We have to solve this differential equation by using integrating factor `u(x, y) = (xy(2x+5y))-1`.The integrating factor `u(x,y)` is given by `u(x,y) = e^∫p(x)dx`, where `p(x)` is the coefficient of y' term.

Let us find `p(x)` for the given differential equation.`p(x) = (9x² + 45xy)/ (27xy + 45y²)`We can simplify this expression by dividing both numerator and denominator by `9xy`.We get `p(x) = (x + 5y)/(3y)`The integrating factor `u(x,y)` is given by `u(x,y) = (xy(2x+5y))-1`.Substitute `p(x)` and `u(x,y)` in the following formula:`y = (1/u(x,y))* ∫[u(x,y)* q(x)] dx + C/u(x,y)`Where `q(x)` is the coefficient of y term, and `C` is the arbitrary constant.To solve the differential equation, we will use the above formula, as follows:`y = [(3y)/(x+5y)]* ∫ [(xy(2x+5y))/y]*dx + C/[(xy(2x+5y))]`We will simplify and solve the above expression, as follows:`y = (3x^2 + 5xy)/ (2xy + 5y^2) + C/(xy(2x+5y))`Simplify the above expression by multiplying `2xy + 5y^2` both numerator and denominator, we get:`y(2xy + 5y^2) = 3x^2 + 5xy + C`This is the general solution of the differential equation.

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Lower class limits are 15, 25, 35, 45, 55, 65, 75, Upper class limits are 24, 34, 44, 54, 64, 74, 84, Class width are 10 (all classes have a width of 10), Class midpoints are 19.5, 29.5, 39.5, 49.5, 59.5, 69.5, 79.5, Class boundaries are [15, 25), [25, 35), [35, 44), [45, 54), [55, 64), [65, 74), [75, 84) and Number of individuals included in the summary is 76.

Here are the details for the given frequency distribution:

Lower class limits are the least number among the pair

Here, Lower class limits are 15, 25, 35, 45, 55, 65, 75 respectively.

Upper class limits are the greater number among the pair

Here, upper limit class are 24, 34, 44, 54, 64, 74, 84 respectively.

Class width is the difference between the Lower class limits and Upper class limits which is 10 (all classes have a width of 10).

Class midpoints is the middle point of the lower class limits and Upper class limits which is 19.5, 29.5, 39.5, 49.5, 59.5, 69.5, 79.5 respectively.

Class boundaries are the extreme points of the classes which are  [15, 25), [25, 35), [35, 44), [45, 54), [55, 64), [65, 74), [75, 84) respectively.

Number of individuals = 27 + 33 + 14 + 4 + 6 + 1 + 1

                                     = 76

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