3x - 7 + 15x + 16 = 9 - 2x + 4 - x

Answer:

The values of sine, cosine, and tangent of θ = 7 pi over 4 radians are -√2/2, √2/2 and -1.

Step-by-step explanation:

If 5 was the radius, do 3.14 (5)^2 same thing as= 3.14 times 25

Which equals 78.5 (I rounded it also)

Let me know if it was correct!

The probability that the three people have chronic insomnia is the likelihood of people having chronic insomnia

The probability that the three people have chronic insomnia is 0.027

The proportion of people with chronic insomnia is given as:

p = 30%

Given that three people are selected, the probability that the three people have chronic insomnia is calculated as:

\(P(3) = p^3\)

So, we have:

\(P(3) = (30\%)^3\)

Evaluate the exponent

\(P(3) = 0.027\)

Hence, the probability that the three people have chronic insomnia is 0.027

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The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

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The question is incomplete. The complete question will be -

It is stated that segment CB, which goes from the center of the bigger circle to the center of the smaller, has the same length of the segment CD.

Note that the center of the shorter circle (point B) is right in the perimeter (the circumference) of the bigger circle. The same for point D. It is right in the perimeter of the bigger circle.

Following the definition of circumference, it is a series of points that have exactly the same distance to the cener of it (ponint C). Then, any pair of points of the circumference (as are B and D) have the same distance to C, being the radius of the circumference.

Then, recalling the definition of circumference, we can say that length CB is equal to lenght CD, since C is the center of the circumference, and B and D are located in the perimeter of it.

Answer:

\(4\frac{1}{12}\) yards

Step-by-step explanation:

\(\frac{43}{4} -\frac{20}{3} \\\frac{129}{12} -\frac{80}{12} \\=\frac{49}{12} \\= 4\frac{1}{12}\)

Step-by-step explanation:

the answer is in the above image

a) The amount of overhead cost that would have been applied to each job during May, based on the predetermined overhead rate, was as follows:

                                   Job X        Job Y        Job Z

Overhead applied   $9,000       $3,600     $5,400

b) The work-in-process inventory reported in the company's May 31 balance sheet was $10,500 for Job Z only.

c) The finished goods inventory that would be reported in the company’s May 31 balance sheet was $4,050.

d) The cost of goods sold that would be reported in the company's income statement for May was $14,500.

The predetermined overhead rate is the rate per unit at which overhead costs are applied to production units or jobs.

The predetermined overhead rate is the quotient of the total budgeted overhead cost divided by the relevant total cost driver units (e.g. direct labor hours).

Predetermined overhead rate = $45 per direct labor-hour

                                   Job X        Job Y        Job Z

Direct labor hours        200             80             120

Direct materials      $4,800       $1,800      $3,600

Direct labor               2,400         1,000         1,500

Overhead applied   9,000         3,600        5,400

                         ($45 x 200)  ($45 x 80)   ($45 x 120)

Production costs $16,200       $6,400    $10,500

Unit costs of Job X   $81 ($16,200/200)

Sold units of Job X = 150

Unsold units of Job X = 50 (200 - 150)

Work in process inventory = Job Z's total cost.

Finished Goods Inventory = $4,050 ($81 x 50)

Cost of Goods Sold = $14,500 ($6,400 + $81 x 100)

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Answer: The width is 11 yards

Step-by-step explanation:

We know that to find the area of a rectangle you will have to multiply the length by the width.

So the area is 198 square yards and the length is 18 yards so we can set up an equation where 18 is being multiply by x and x  is the width  and make it equal 198.

18 * x = 198   solve for x  to find the width  

18x = 198

x= 11  

The width in this case is 11 yards

Answer:

its 10

Step-by-step explanation:

For right triangle A, the sides and angles are given as follows;

AB = 3

BC = 2.24

AC = 2

m∠A = 48°

m∠B = 42°
m∠C = 90°

For right triangle B, the sides and angles are given as follows;

AB = 15

BC = 12

AC = 9

m∠A = 53°

m∠B = 37°
m∠C = 90°

Right Triangle A

To get BC, we must use the following formula: BC = √(AB²-AC²)
BC = √3²-2²

BC  = 2.23607

BC = 2.24 (Approximately)

m∠B = arcsin (AB/AC)

m∠B = arcsin (2/3)
m∠B = arcsin(0.66666666666667)

m∠B = 0.72973 rad; when converted to degrees,

m∠B = 42° (approxinmately)

Using the theorem of sum of angles in a triangle,

m∠A = 180 - 42 - 90

m∠A = 48

Right Triangle B

To get BC, we must use the following formula: AB = √(AC²+ CB²)
AB = √12²+9²

AB  = √225

AB = 15

m∠B = arcsin (AC/CB)

m∠B = arcsin (9/15)
m∠B = arcsin(0.6)

m∠B = 0.6435 rad; when converted to degrees,

m∠B = 37° (approxinmately)

Using the theorem of sum of angles in a triangle,

m∠A = 180 - 37 - 90

m∠A = 53°

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Answer:

Step-by-step explanation:

(0,0)

i hope this helps

Both representations are equivalent and describe the same function.the function rule for this table is:   f(x) = -1/2 x 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.

To write a function rule for a given array, we need to determine how the values ​​in the output column (y) relate to the values ​​in the input column (x).

Looking at the given data, we notice that the output values ​​decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .

The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values ​​decrease by 1 every time the input values ​​increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.

Therefore, the function rule for this table is:

f(x) = -1/2 x 2

where x is the input value and f(x) is the output value.

Alternatively, we can also represent the function in table entries, for example:

f(0) = 2

f(2) = 1

f(4) = 0

f(6) = -1

Both representations are equivalent and describe the same function.

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Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

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Answer:

3.

Step-by-step explanation:

2/3 / 2/9

= 2/3 * 9/2

= 18/6

= 3.

1.The probability of winning $20 is 1/200.

2.The probability of winning $1500 is 1/7500.

3.The probability of winning $20000 is 1/200000.

4. the probability of not winning anything is 0.9989375

1.The probability of winning $20 is

P(winning) = p(winning chance)/total

                   =1/200.

2.The probability of winning $1500 is

P(winning 1500) = p(winning chance)/total

                           = 1/7500.

3.The probability of winning $20000 is

P(winning) = p(winning chance)/total

                    =1/200000.

4.To find the probability of not winning anything, you can subtract the sum of the probabilities of winning $20, $1500, and $20000 from 1. This is 1 - (1/200 + 1/7500 + 1/200000) = 1 - 0.0010625 = 0.9989375

Probability is a mathematical concept used to measure the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. In general, the probability of an event can be calculated as the number of favorable outcomes divided by the number of possible outcomes.

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Answer:

{(-2, 5), (1, -1), (2, -2), (5, 2)}

Answer:

Step-by-step explanation:

1)  DE = 6/sin63 = 6.7

DF = 6/tan63 = 3.1

m∠E = 180 - 90 - 63 = 27°

2)  tan30 = 1/√3 = UV / (27√10)

UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30

3)  cosV = 3/8

cos⁻¹(3/8) = 68

m∠V = 68°

Answer:

so we have to use the formula 4/3PiR^3

which if we do we get the volume of

V≈97478.08

Answer:

V≈97478.08cm³

Step-by-step explanation:

Using the formulas

V=4/3πr3

d=2r

V=1/6πd3

D=1

1/6·πd3 1/6π ·57.13≈97478.07565cm³

I hope this helps. I worked hard on this one.

Answer:

B

Step-by-step explanation:

if the number of chocolate changes the number of calories changes too

give brainlest if correct thank you :)

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

C.) y = 3(x - 3)(x - 7)

For the function:

Writing equation:

y = a(x - h)² + k

15 = a(8 - 5)² - 12

15 = 9a - 12

9a = 15 + 12

9a = 27

a = 3

So the equation is:

y = 3(x - 5)² - 12

y = 3(x² - 10x + 25) - 12

y = 3x² - 30x + 63

y = 3(x - 3)(x - 7)

Answer:

6x^2+40x

Step-by-step explanation:

2x(3x+20)

6x^2 +40x

That's your answer. you won't be able to find x

Given

Length 2 4/5

Width 4 1/2

Height 3 1/3

V = bh

base = length

h = height

V = 2 4/5 × 3 1/3

Convert into improper fractions

2 4/5 = 5 × 2 = 10 + 4 = 14 or 14 / 5 (keeping the denminator the same)

3 1/3 = 3 × 3 = 9 + 1 = 10 or 10 / 3

Multply

14 × 10 = 140

5 × 3 = 15

Simplify by dividing the numerator and the denminator by a common factor

140 ÷ 5 = 28

15 ÷ 5 = 3

Now convert the improper fraction into a mixed number

28 / 3 = 9 1 / 3 (mixed number)

V = 9 1/3

It will take 3.5 hours for the two cars to be 280 miles apart.

To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.

Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:

Relative velocity = Velocity of car traveling east + Velocity of car traveling west

Relative velocity = 60 mph + 20 mph

Relative velocity = 80 mph

The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.

To find the time it takes for them to be 280 miles apart, we can use the formula:

Time = Distance / Speed

Plugging in the values, we have:

Time = 280 miles / 80 mph

Time = 3.5 hours

Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.

During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.

The sum of these distances is indeed 280 miles, confirming the result.

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