can u guys please help a poor soul
1/root 5 - root 3

The solution set over the interval [0°, 360°) is {120°, 240°}. The correct choice is (c) {120°, 240°}.

The given equation is csc²θ + 2 cotθ = 0 over the interval [0°, 360°).

To solve this equation, we first need to simplify it using trigonometric identities as follows:

csc²θ + 2 cotθ

= 0(1/sin²θ) + 2(cosθ/sinθ)

= 0(1 + 2cosθ)/sin²θ = 0

We can then multiply both sides by sin²θ to get:

1 + 2cosθ = 0

Now, we can solve for cosθ as follows:

2cosθ = -1cosθ

= -1/2

We know that cosθ = 1/2 at θ = 60° and θ = 300° in the interval [0°, 360°).

However, we have cosθ = -1/2, which is negative and corresponds to angles in the second and third quadrants. To find the solutions in the interval [0°, 360°), we can use the following formula: θ = 180° ± αwhere α is the reference angle. In this case, the reference angle is 60°.

So, the solutions are:θ = 180° + 60° = 240°θ = 180° - 60° = 120°

Therefore, the solution set over the interval [0°, 360°) is {120°, 240°}. The correct choice is (c) {120°, 240°}.

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When the increment operator precedes its operand, as

++num, the expression is in prefix mode.

When the increment or decrement operator is placed before the operand ( to the operand's left), the operator is being used in prefix mode.

A prefix is defined by specifying its name with the name= keyword, its optional short name with the sname= keyword, optional input names with iname=, and the keyword prefix.

During an assignment of one variable to other the prefix mode of increment and decrement first increments or decrements the variable's value then updated value of the variable is used in assignment.

Postfix mode on the other hand is when the increment or decrement operator is placed after the operand (or to the oper and's right) .

Pre-increment, (for example, ++n) increments the value first, and then performs the specified operation.

Therefore, When the increment operator precedes its operand, as ++num, the expression is in prefix mode.

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\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=69.08 \end{cases}\implies 69.08=2\pi r\implies \cfrac{69.08}{2\underset{\pi }{(3.14)}}=r\implies 11=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\hspace{5em}A=\pi (11)^2\implies A=\underset{\pi }{(3.14)}(11)^2\implies A=379.94~ft^2\)

Answer:

25/12

Step-by-step explanation:

Answer:

the lines which donot meet each other at any point this type of lines are parallel

Step-by-step explanation:

eg ⬅️

➡️

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Answer:

Step-by-step explanation:

1 TRUE

A number is always 100%  Anyting bigger than 100% is going to be a bigger number

  Anything smaller than 100% is a smaller number

2FALSE   5/100 = 0.05 and NOT 0.5

0.5% is the same as thalf of 100%    = 50%

   50/100  = 5/10  = 0.5

Answer:

a

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

On the number line -9 appear before -10. Thw futher the number, the smaller it gets

Answer :

( 6 y^4 + 3 y^2 -7) - (12 y^4 - y^2 + 5)

Step-by-step explanation:

(6 y^4+ 3 y^2-7) - (12 y^4 - y^2 + 5 )

=6 y^4 +3 y ^2 - 7 - 12 y^4 + y^2 - 5

=6 y ^4 - 12 y ^4 +3 y ^2 + y ^2 - 7 -5

= -6 y ^4 + 4 y ^2- 12

Hope this helps!

Answer:

The point-slope form of a linear equation is:

y - y1 = m(x - x1)

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

In this case, the slope of the line is 4, and the line passes through the point (-1, -8). Substituting these values into the point-slope form, we get:

y - (-8) = 4(x - (-1))

Simplifying the right side of the equation, we get:

y + 8 = 4(x + 1)

Expanding the right side, we get:

y + 8 = 4x + 4

Subtracting 8 from both sides, we get:

y = 4x - 4

So the linear equation for the line with a slope of 4 and going through the point (-1, -8) is y = 4x - 4.

There are 7290 4-digit positive integers that satisfy the given conditions.

We have,

To determine the number of 4-digit positive integers that satisfy the given conditions, we need to count the possibilities for each condition and then find their intersection.

Condition (A):

Each of the first two digits must be 1, 4, or 5.

Since there are 3 choices for each of the first two digits, there are

3 x 3 = 9 possibilities for condition (A).

Condition (B):

The last two digits cannot be the same digit.

There are 10 choices for the first digit, and for each of these choices, there are 9 choices for the second digit (excluding the chosen digit). Therefore, there are 10 x 9 = 90 possibilities for condition (B).

Condition (C): Each of the last two digits must be 5, 7, or 8.

There are 3 choices for each of the last two digits, resulting in 3 x 3 = 9 possibilities for condition (C).

To find the total number of 4-digit positive integers satisfying all three conditions, we multiply the possibilities for each condition together:

9 x 90 x 9 = 7290

Therefore,

There are 7290 4-digit positive integers that satisfy the given conditions.

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Answer: Research

Step-by-step explanation:

The counterexamples provided in the question; they are all incorrect.

It is true that if a and b are rational numbers, then a*b is also rational. A rational number is a number that can be written as a fraction p/q, where p and q are integers and q is not equal to 0.

Thus, if a = p/q and b = r/s are rational numbers, then a*b can be written as (p/q)*(r/s) = (p*r)/(q*s), which is also a fraction of two integers with a nonzero denominator, and therefore a rational number.

As for the counterexamples provided in the question, they are all incorrect. For example, if a = 2 and b = 1/2, then a*b = 2*(1/2) = 1, which is a rational number.

Similarly, if a = -3 and b = -1/2, then a*b = -3*(-1/2) = 3/2, which is also a rational number. Therefore, these counterexamples do not disprove the statement that if a and b are rational numbers, then a*b is also rational.

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In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

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Answer:

  42, 38, 34, 30

Step-by-step explanation:

You want the first 4 terms of the sequence described by ...

  an = 42 -4(n -1), n ∈ ℕ

You can write the first 4 terms of the sequence by evaluating the 'an' expression for n = 1, 2, 3, 4.

Or, you can recognize the expression describes a sequence with a first term of 42 and a common difference of -4. That is, each term is 4 less than the one before.

The terms you want are ...

  42, 38, 34, 30

__

Additional comment

The equation for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference. Comparing this to the given equation, we see a1 = 42, d = -4.

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Answer:

x = 16/15

Step-by-step explanation:

3x - 4 = 12

~Add 4 to both sides

3x = 16

~Divide 3 to both sides

x = 16/15

Best of Luck!

The Pythagorean formula, c=√a²+b², can be used to get the required hypotenuse.

The hypotenuse is the longest side of a right-angled triangle or the side that faces away from the right angle.

The length of the hypotenuse can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse's length equals the sum of the squares of the lengths of the other two sides.

If one of the other sides in this situation is 3 (when squared, this equals 9) and the other is 4, this equals 16, and the sum of their squares is 25.

The length of the hypotenuse is equal to the square root of 25, or 5.

The hypotenuse can be found using the Pythagorean formula, which is c=√a²+b².

Therefore, the Pythagorean formula, c=√a²+b², can be used to get the hypotenuse.

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Answer:

0.006 L

Step-by-step explanation:

Mass of water = 6kg

Using the relation :

Density = mass / volume

Density of water = 100kg/m³

1000 kg/m³ = 6kg / volume

1000kg/m³ * volume = 6kg

Volume = 6kg / 1000 kg /m³

Volume = 0.006

The general exponential function is,

For x = 0, f(x) = 80. So,

For x = 1, f(x) = 100 and a = 80. So,

So exponential function is,

Substitute 8 for x in the function to determine the number of books in 8th month.

So in 8th month number of book denoted is 477.

Answer:

-3 Or 3 it could be any one of them

Step-by-step explanation:

-3 or 3

Rise/run so an

The decimal approximation of √60, rounded to four decimal places, is 7.7450. Approximate the square root of 60 using the differential method. To do this, we will use linear approximation and the derivative of the square root function.

Let f(x) = x^(1/2), and we want to find f(60). Choose a nearby value of x that is easy to work with, such as x = 64, because f(64) = 8. Now, we will find the derivative of f(x) to determine the rate of change at x = 64.

f'(x) = (1/2)x^(-1/2)

Now, we'll find f'(64):
f'(64) = (1/2)(64)^(-1/2) = 1/16

Using the linear approximation formula, we have:
f(60) ≈ f(64) + f'(64)(60-64)
f(60) ≈ 8 + (1/16)(-4)
f(60) ≈ 8 - (1/4)
f(60) ≈ 7.75

So, the decimal approximation of √60, rounded to four decimal places, is 7.7450.

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Answer:

+2 that's what I think it is

The probability that the selected 9 parts have no defectives in them is approximately 0.3874.

Given that a factory produces aircraft parts, the probability that a certain part is defective is 0.1.

Also, 9 parts are selected from the production line and we need to find the probability that they have no defectives in them.

We can use the binomial distribution formula to solve this problem.

P(X = k) = nCk * pk * q(n - k)

where n is the number of trials, k is the number of successes, p is the probability of success, and q is the probability of failure.

The probability of getting no defective parts can be represented as P(X = 0).

Hence, k = 0, n = 9, p = 0.1 and

q = 1 - 0.1

= 0.9.P(X = 0)

= 9C0 * 0.1^0 * 0.9^9

= 0.9^9

≈ 0.3874

Therefore, the probability that the selected 9 parts have no defectives in them is approximately 0.3874.

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There are a total of 36 boxes of popcorn with each box containing 2 popped kernels except for the last box which contains 1 popped kernel.

If there are 85 kernels in a pound of popcorn, then we can assume that there are 84 boxes of popcorn with each box containing one kernel less than the previous box. The last box will contain only one kernel.

Following formula should be used to find the sum of the first n natural numbers:

n(n+1)/2.

Therefore, the number of boxes required to hold all the popped kernels is given by solving the equation:

n(n+1)/2 = 84

Solutions for the quadratic equation can be found as:

n = -9 or n = 8

Since we cannot have a negative number of boxes, therefore, we take:

n = 8.

Therefore, there are a total of 36 boxes of popcorn with each box containing 2 popped kernels except for the last box which contains 1 popped kernel.

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The number of boxes required for the popped corn can be calculated by dividing the total number of popped kernels by the capacity of each box. To do this, we need to know the yield of the popcorn, which means the ratio of popped kernels to unpopped kernels.

Let's assume that the yield of the popcorn is 10:1, which means that for every 10 unpopped kernels, 1 kernel pops. Therefore, there would be 10 x 16 = 160 unpopped kernels in a pound of popcorn.

Assuming that each box can hold 100 popped kernels, we can calculate the total number of boxes required as follows: Total number of popped kernels = 1 lb of popcorn x 10 (yield) = 1600 popped kernels Number of boxes required = 1600 popped kernels ÷ 100 kernels per box = 16 boxes

Therefore, 16 boxes are needed to hold all the popped kernels. The last box will be partially filled, and the number of popped kernels in it can be calculated by subtracting the number of kernels in the other 15 boxes from the total number of popped kernels:

Number of kernels in the last box = 1600 popped kernels - (15 boxes x 100 kernels per box) = 100 popped kernels Hence, there are 16 boxes required to hold all the popped kernels, with the last box having 100 popped kernels in it.

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Answer:

50 calculators and 10 calendars.

Step-by-step explanation:

Part A: Let x be the number of calculators and y be the number of calendars ordered. Then we have the following system of equations:

x + y = 60 (the total number of items ordered is 60)

12x + 10y = 700 (the total cost of the order is $700)

Part B: To solve this system by substitution, we can isolate x from the first equation and substitute it into the second equation. This gives us:

x = 60 - y

12(60 - y) + 10y = 700

Simplifying and solving for y, we get:

720 - 12y + 10y = 700

-2y = -20

y = 10

Therefore, the number of calendars ordered is 10. To find the number of calculators ordered, we can plug in y = 10 into the first equation and get:

x + 10 = 60

x = 50

Therefore, the number of calculators ordered is 50.

Answer: 721295.2

Step-by-step explanation:

Already rounded to the nearest tenth.

721295.2

pls give me brainliest it will mean a lot to me.

Answer:

721295.20- tenth

721300= tens spot

Step-by-step explanation:

tenth ? or tens place??

Answer:

4.56% ok so just take the numbe an put it a present thats it easy right

Step-by-step explanation:

let me have brailiest pl I need 1 more

Answer:

456%

Step-by-step explanation:

If you want to write a percentage larger than 100%, first look at the number you have.

1.00 = 100%, as the number one is a whole number and equals to 100%

With this knowledge, you can take 4.56, remove the decimal and you have your percentage, which equals 456%.

Hope this helps!