a recipe calls for 5 teaspoons of seasoning for every 6 batches of chilli if you have 102 batches of chilli how many teaspoons of seasoning will you need

The value of x for the given trigonometric funciton cot(5x) = -√3 is 5x = -π/6 thus it is not exist in the interval  [ 0 , 2 π ).

We have,

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

As per the given equation,

cot5x = -√3

It is known that cotx = 1/tanx

1/tan5x = -√3

tan5x = -1/√3

Since, tan(π/6) = 1/√3 so -tan(π/6) = -1/√3

It is known that -tanx = tan(-x)

So, -tan(π/6) = tan(-π/6) so,

5x = -π/6 or x = -π/30.

Hence "The value of x for the given trigonometric function cot(5x) = -√3 is 5x = -π/6 thus it is not exist in the interval  [ 0 , 2 π )".

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complete question:

Solve for the exact solutions in the interval [ 0 , 2 π ) . Separate solutions with a comma. If the equation has no solutions, respond with DNE. cot (5x) = − √3

Step-by-step explanation:

This is a geometric series where our common ratio is -1/2, and a is -4

Since r is less than -1, this series converges so

The sun is

\( \frac{ - 4}{1 + 0.5} \)

\( \frac{ - 4}{1.5} = - \frac{8}{3} \)

The sum is -8)3

Answer:

9^1 has a power of 1.  it evaluates to 9

Step-by-step explanation:

Answer:

7% interest = $10000

13% interest = $20000

Step-by-step explanation:

Let the amount invested at 7% interest be x.

Let the amount invested at 13% interest be y.

Thus;

x + y = 30000 - - - (eq 1)

We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.

Thus;

0.07x + 0.13y = 0.11(30000)

Multiply through by 100 to get rid of the decimal;

7x + 13y = 0.11(30000 × 100).

7x + 13y = 330000 - - - (eq 2)

From eq 1, x = 30000 - y

Put this for x in eq 2 to get;

7(30000 - y) + 13y = 330000

210000 - 7y + 13y = 330000

6y = 330000 - 210000

6y = 120000

y = 120000/6

y = $20000

x = 30000 - 20000

x = $10000

Thus;

Amount invested at;

7% interest = $10000

13% interest = $20000

Answer:

Greater than 25 %

Step-by-step explanation:

Since its 25 % then the probability would MOST LIKELY be more than 25 % since usually in math 25 % is used for fourths [ 4 ] but since it's thirds [ 3 ] the chance SHOULD be higher [ Correct me if I'm wrong, if i am then SORRYYYY ;-; ]

Answer:

Greater than 25%......

Answer: 17 and 1/2 miles

Step-by-step explanation: They are 15 miles away from eachother which means halfway between the two is 7 and 1/2. 10 plus 7 and 1/2 is 17 and 1/2 and 25 minus 7 and 1/2 is 17 and 1/2.

Answer:

8.5

Step-by-step explanation:

1/9=0.1111111111111

0.1111111111111=0.1

83=80 or 85

0.1*85=8.5

Answer:

-x(6/7) + 4x(1/7)

Step-by-step explanation:

Since there was no net amount, I substituted it with x. Since there is a 1/7 chance of winning, it is being times with 4 times the wager (x). With there being a 1/7 chance of winning there is a 6/7 chance of losing. I put -x because that is the amount you would wager (spending money). If you do find a net amount be sure to substitute it for x.

The swimming pool can hold a volume of 3.456 cubic meters of water.

The volume of water that the swimming pool can hold can be calculated by multiplying the base area of the pool by its depth. In this case, the base area is given as 192 m² and the depth is 1.8 cm.

However, it is important to note that the depth should be converted to meters before performing the calculation.

To convert 1.8 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):

Depth = 1.8 cm ÷ 100 = 0.018 m

Now we can calculate the volume of water using the formula:

Volume = Base Area × Depth

Substituting the given values, we get:

Volume = 192 m² × 0.018 m = 3.456 m³

Therefore, the swimming pool can hold a volume of 3.456 cubic meters of water.

In the explanation, we use the formula for calculating the volume of a rectangular prism, which is given by multiplying the base area by the depth. We convert the depth from centimeters to meters and then substitute the given values into the formula to find the volume of water that the swimming pool can hold, which is 3.456 cubic meters.

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Answer:

The correct option - Figure A

Step-by-step explanation:

The exact question is as follows :

Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

To find - Which box plot shows this data set?

Solution -

Given the data is -

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

Firstly,

Arrange the data from smallest to largest

0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7

Now,

Find the median

Median is the middle value - i.e. (15 + 1)/2 = 8th value

So, we get Median = 2

Now,

Find the Quartile -

The first quartile is the median of the data points to the left of the median.

i.e. Median of 0, 0, 0, 0, 0, 1, 1

so, we get

Q1 = 0

The third quartile is the median of the data points to the right of the median.

i.e. Median of 2, 2, 2, 3, 3, 5, 7

so, we get

Q3 = 3

Now,

Compute the min and the max

Minimum value = 0

Maximum value - 7

So,

five number summary is -

0, 0, 2, 3, 7

And we draw the box as follows -

So,

The correct option - Figure A

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

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Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Equation A1 is:

5x - 8y = 4

Multiplying this equation by 2, we get:

2(5x - 8y) = 2(4)

2(5x) - 2(8y) = 2(4)

10x - 16y = 8

This equation is the same as equation B1, then

2 x Equation A1 → Equation B1

The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.

Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.

f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)

= 1 - 5√(9 - x) / √(9 - x)

= 1 - 5 / √(9 - x).

To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.

Setting f'(x) = 0:

1 - 5 / √(9 - x) = 0

5 / √(9 - x) = 1

(√(9 - x))^2 = 5^2

9 - x = 25

x = 9 - 25

x = -16.

The critical point is x = -16.

We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.

Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).

For x < -16:

Plugging in a test value, let's say x = -17, into the derivative:

f'(-17) = 1 - 5 / √(9 - (-17))

= 1 - 5 / √(9 + 17)

= 1 - 5 / √26

≈ 1 - 0.97

≈ 0.03.

Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).

For -16 < x < 9:

Plugging in a test value, let's say x = 0, into the derivative:

f'(0) = 1 - 5 / √(9 - 0)

= 1 - 5 / √9

= 1 - 5 / 3

≈ 1 - 1.67

≈ -0.67.

Since f'(0) is negative, the function is decreasing in the interval (-16, 9).

For x > 9:

Plugging in a test value, let's say x = 10, into the derivative:

f'(10) = 1 - 5 / √(9 - 10)

= 1 - 5 / √(-1)

= 1 - 5i,

where i is the imaginary unit.

Since the derivative is not a real number for x > 9, we cannot determine the sign.

Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

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The equation from the equation mat is 2 + x² - 2x = 2+ x  - 1 - x² .

Equation Mat is the visual representation of an Equation , where the two sides represent the two sides of an equal sign.

The given Equation mat can be written as

2 + x² - 2x = 2+ x  - 1 - x²

This can be solved as

2+x² -2x = 1 +x -x²

2x² -3x +1 = 0

2x² -2x- x +1 = 0

2x(x -1) -1(x-1) = 0

(2x-1)(x-1) = 0

x = 1/2

x = 1

The equation from the equation mat is 2 + x² - 2x = 2+ x  - 1 - x² .

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Answer:

--------------------------------------

Steps should be self-explanatory. Happy to explain if anything is not clear.

Answer:

Step-by-step explanation:

1) 4v + 7 = 7, for v?

→ 4v + 7 = 7

→ 4v = 7 - 7

→ v = 0/4

→ [ v = 0 ]

2) 3(u + 4) = 27, for u?

→ 3(u + 4) = 27

→ 3u + 12 = 27

→ 3u = 27 - 12

→ u = 15/3

→ [ u = 5 ]

3) -20 = 10(h + 5), for h?

→ -20 = 10(h + 5)

→ 10h + 50 = -20

→ 10h = -20 - 50

→ h = -70/10

→ [ h = -7 ]

4) -10 = (n - 52)/5, for n?

→ -10 = (n - 52)/5

→ n - 52 = -10 × 5

→ n = -50 + 52

→ [ n = 2 ]

5) (48/x) - 3 = 3, for x?

→ (48/x) - 3 = 3

→ 48/x = 3 + 3

→ 6x = 48

→ x = 48/6

→ [ x = 8 ]

6) 8r = 2r + 42, for r?

→ 8r = 2r + 42

→ 8r - 2r = 42

→ r = 42/6

→ [ r = 7 ]

These are required values.

Answer:

Step-by-step explanation:

-x+5=9

-x=-9-5

-x=-14

x=14

coefficient of x is -1

Answer: 3x-3 needs to be done first, and then 4x+7, and then multiply and whatever you get will be your answer

Step-by-step explanation:

The amount of fewer euros he would receive as a result of the delay is 20 E.

The percentage loss that was caused by the delay is -4%.

Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.

Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday

Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E

Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E

Difference = 500 E - 480 E = 20 E

Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1

Percentage loss = (480 / 500) - 1 = -0.04 = -4%

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Answer:

Since 1 mm = . 03937 inches, mm would seem to be the units appropriate for defining the thickness of a coin measuring 2 units.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation y = 5x - 2 is slope-intercept form of linear function.

It has positive slope of 5, therefore is increasing function, the line goes up from left to right on the coordinate plane

Answer: =−14a3−2a2+12

Step-by-step explanation:

−5a3−7a2+3−9a3+5a2+9

=−5a3+−7a2+3+−9a3+5a2+9

Combine Like Terms:

=−5a3+−7a2+3+−9a3+5a2+9

=(−5a3+−9a3)+(−7a2+5a2)+(3+9)

=−14a3+−2a2+12

Answer:

=−14a3−2a2+12

The standard form of the equation, 3y = 9x -12, is -5x + y = 0.5. The correct option is the third option -5x+y=0.5

From the question, we are to write the given equation is standard form.

The given equation is

y = 5x + 0.5.

The standard form of a linear equation is

Ax + By = C

Where A, B, and C are constants

x and y are variables

Now, we will write the given equation is the standard form of a linear equation.

y = 5x + 0.5

Subtract 5x from both sides of the equation

y - 5x = 5x - 5x + 0.5

y - 5x = 0.5

Rewrite the equation, so that it would correspond to the standard form of a linear equation

-5x + y = 0.5

Hence, the standard form is -5x + y = 0.5

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Answer:

$7

Step-by-step explanation:

$10 - $3 = $7

Answer: 125 miles

Step-by-step explanation:

We know that 25 miles is 20% of the trip.

20% is 1/5 of 100, so that means we will multiply the number of miles driven by the denominator of the fraction.

25 × 5 = 125 miles

The answer to the question is 125 miles.

Answer:

The second circle graph, labeled "New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent" correctly represents the data in the table.

Step-by-step explanation:

The correct circle graph would have five sections labeled walk, bicycle, car service, bus, and subway, with each section representing the percentage of visitors who used that mode of transportation.

To find the percentage for each mode of transportation, we need to calculate the total number of visitors:

Total number of visitors = 120 + 24 + 45 + 30 + 81 = 300

Now we can calculate the percentage of visitors for each mode of transportation:

Walk: 120/300 x 100% = 40%

Bicycle: 24/300 x 100% = 8%

Car Service: 45/300 x 100% = 15%

Bus: 30/300 x 100% = 10%

Subway: 81/300 x 100% = 27%

Therefore, the correct circle graph would have the following sections and percentages:

Walk: 40%

Bicycle: 8%

Car Service: 15%

Bus: 10%

Subway: 27%

Answer: New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent

Step-by-step explanation: i jus did it