I cant solve this please help

The values that satisfy the given trigonometric equation for 0 < θ < 2 are θ = π/4 and θ = 5π/4, where sinθ + tan(-θ) equals zero.

To solve the trigonometric equation sinθ + tan(-θ) = 0, we need to find the values of θ that satisfy this equation.

First, we rewrite the equation as sinθ - tanθ = 0 since tan(-θ) is equal to -tanθ.

Next, we use the trigonometric identity of tan(θ) i.e., tanθ = sinθ/cosθ.

Substituting this into the equation, we have

sinθ - sinθ/cosθ = 0

To simplify further, we multiply both sides of the equation by cosθ, yielding cosθ(sinθ - sinθ/cosθ) = 0

Simplifying the expression, we get sinθcosθ - sinθ = 0.

Factoring out sinθ, we have sinθ(cosθ - 1) = 0.

From this equation, we can see that sinθ = 0 or cosθ - 1 = 0.

For sinθ = 0, the solutions lie at θ = 0 and θ = π.

For cosθ - 1 = 0, we have cosθ = 1, which occurs at θ = 2πk, where k is an integer.

However, since we are interested in the values of θ between 0 and 2, we exclude θ = 2πk, except for k = 0, as it falls outside the given interval.

Therefore, the solutions for 0 < θ < 2 are θ = π/4 and θ = 5π/4, where sinθ + tan(-θ) equals zero.

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Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

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The sub-atomic particles located in the nucleus of an He^4 atom are 2 protons and 2 neutrons.

Helium belongs to double-electronic species, unlike alpha-particles which are devoid of electrons. The two electrons of Helium are accommodated in the 1s orbital, outside the nucleus.

Nucleons are always present in the nucleus of various elements. Nucleons collectively refer to protons and neutrons. In this case, 2 protons and 2 neutrons reside in the nucleus.

The number of protons is always equal to the atomic number of the element. The number of neutrons is always equal to the difference between the mass number and the atomic number of the element.

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1. Tess is making 12 bows.

2. 100 time as 12 bows = 100 × 12 = 1200 bows

3. In exponent form ; 12 × 10²

Given :  Number of bows Tess makes = 100 times as the of x

Let the number of bows Tess makes be x

Thus the number of bows Tess is making is 12.

100 times as many means the number which we have calculated should be multiplied by 100.

thus the number as w2e have found out is 12

so multiplied by 100 will give us 1200

Exponential form means that the given number should be expressed in the form of 10.

As the number which is given to us is 1200n

thus in exponential form we can write it as 12 multiplied by 10 raise to the power as the number of zeros of present.

Here then number of number of zeros is 2

thus 10 raised to the power 2.

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Answer:

10

Step-by-step explanation:

Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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The values of cos(A) and sin(A) are cos(A) = 0.96 and sin(A) = 0.28

From the question, we have the following parameters that can be used in our computation:

The coordinates of C are (0.96, 0.28).

In a unit circle,

(x, y) = (cos, sin)

Using the above as a guide, we have the following:

x = 0.96

y - 0.28

This means that

cos(A) = 0.96

sin(A) = 0.28

Hence, the values of cos(A) and sin(A) are cos(A) = 0.96 and sin(A) = 0.28

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Answer:

its b

Step-by-step explanation:

just took the quiz

Answer:

standard deviation of the distribution is 1.40

Step-by-step explanation:

By drawing two equivalent right triangles, we will get:

m∠HIF = 58°

Let's look at the given image.

If we draw a vertical line that comes down from H, then we will form a little right triangle.

And if we draw another line that goes up from I we will get another right triangle, such that these two form a rectangle togheter.

Notice that these two triangles will be equivalent, just inverted.

Then the measure of HIF (the angle at vertex I of the left right triangle) will be equal to IHG (the angle at vertex H of the right triangle).

From that we conclude that:

m∠HIF = 58°

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La solution:

625 cm^2.

Explication étape par étape:

Si la forme est rectangulaire, elle aura la plus grande superficie possible quand la longueur équivaut à la largeur. Pour avoir un périmètre de 100 cm, cela signifie que chaque côté doit faire 25 cm.

La superficie serait alors de 25 cm x 25 cm = 625 cm^2.

Answer:

(2³)³=512

because, 2³=8 & 8³=512

Answer:

512

Step-by-step explanation:

Ok, let's start by deciphering how powering works:

\(a^3 = a \cdot a \cdot a\\a^b * a^c = a^{b+c}\textrm{; because it's "multiply a b times" multiplied by "multiply a c times"}\\(a^b)^c = a^{b\cdot c}\textrm{; because of the above}\\\)

\((2^3)^3 = 2^{3\cdot3} = 2^9\\\)

and because of KibiBytes existing, we know that 2^10 = 1024, so 2^9 will be equal to 1024/2=512

Best guess for the function is

\(\displaystyle f(x) = \sum_{n=1}^\infty \frac{x^n}{n^2}\)

By the ratio test, the series converges for

\(\displaystyle \lim_{n\to\infty} \left|\frac{x^{n+1}}{(n+1)^2} \cdot \frac{n^2}{x^n}\right| = |x| \lim_{n\to\infty} \frac{n^2}{(n+1)^2} = |x| < 1\)

When \(x=1\), \(f(x)\) is a convergent \(p\)-series.

When \(x=-1\), \(f(x)\) is a convergent alternating series.

So, the interval of convergence for \(f(x)\) is the closed interval \(\boxed{-1 \le x \le 1}\).

The derivative of \(f\) is the series

\(\displaystyle f'(x) = \sum_{n=1}^\infty \frac{nx^{n-1}}{n^2} = \frac1x \sum_{n=1}^\infty \frac{x^n}n\)

which also converges for \(|x|<1\) by the ratio test:

\(\displaystyle \lim_{n\to\infty} \left|\frac{x^{n+1}}{n+1} \cdot \frac n{x^n}\right| = |x| \lim_{n\to\infty} \frac{n}{n+1} = |x| < 1\)

When \(x=1\), \(f'(x)\) becomes the divergent harmonic series.

When \(x=-1\), \(f'(x)\) is a convergent alternating series.

The interval of convergence for \(f'(x)\) is then the closed-open interval \(\boxed{-1 \le x < 1}\).

Differentiating \(f\) once more gives the series

\(\displaystyle f''(x) = \sum_{n=1}^\infty \frac{n(n-1)x^{n-2}}{n^2} = \frac1{x^2} \sum_{n=1}^\infty \frac{(n-1)x^n}{n} = \frac1{x^2} \left(\sum_{n=1}^\infty x^n - \sum_{n=1}^\infty \frac{x^n}n\right)\)

The first series is geometric and converges for \(|x|<1\), endpoints not included.

The second series is \(f'(x)\), which we know converges for \(-1\le x<1\).

Putting these intervals together, we see that \(f''(x)\) converges only on the open interval \(\boxed{-1 < x < 1}\).

Volume of a prism: base area x height

Edge of each cube: 1 inch

Cubes used for the first layer: 42

Base area = 42 inches

height = 7 inches (or layers )

Volume = 42 x 7 = 294 cubic inches

Answer:

$14

Step-by-step explanation:

35% is the same as multiplying by .35

40 * .35 = 14

A research study variable that is believed to be related to the study's variable of interest is accurately described by each of the following terms except dependent.

Any variable employed in research that has a cause and effect relationship is referred to as a research variable (also known as a study variable) informally. An array of variables, including independent factors, dependent variables, and intervening variables, can be employed in a study, including research/study variables.

Independent and dependent variables are crucial in research since they provide the framework for a study to be carried out. Confounding factors, controlled variables, superfluous variables, and moderator variables are some other sorts of variables that could be used in a research.

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The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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Answer:

The product of (x+7)^2 is (x+7)(x+7) = x^2 + 14x + 49

Step-by-step explanation:

Alison needs 84 inches of ribbon to decorate the frame by wrapping it around the photo three times.

To find the length of ribbon needed to wrap around the frame three times, we need to calculate the perimeter of the frame. The frame's area is given as 48 square inches, and its width is 8 inches.

Let's assume the length of the frame is L inches. Since the area of a rectangle is given by length multiplied by width, we have:

L * 8 = 48

Dividing both sides of the equation by 8, we find:

L = 48 / 8

L = 6

So, the length of the frame is 6 inches. The perimeter of the frame can be calculated by adding the lengths of all four sides:

Perimeter = 2 * (length + width)

Perimeter = 2 * (6 + 8)

Perimeter = 2 * 14

Perimeter = 28 inches

Since the ribbon needs to be wrapped around the frame three times, the total length of ribbon needed is:

Total length of ribbon = 3 * Perimeter

Total length of ribbon = 3 * 28

Total length of ribbon = 84 inches

Therefore, Alison needs 84 inches of ribbon to decorate the frame by wrapping it around the photo three times.

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Answer:

∠ G ≈ 8.3°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan G = \(\frac{opposite}{adjacent}\) = \(\frac{HI}{GI}\) = \(\frac{1.1}{7.5}\) , then

∠ G = \(tan^{-1}\) (\(\frac{1.1}{7.5}\) ) ≈ 8.3° ( to the nearest tenth )

The prefix for one million in the metric system is "mega-". The prefix "mega-" is derived from the Greek word "megas" which means large. It is used to denote a factor of one million, or 10^6.

To illustrate, let's consider the metric unit of length, the meter. If we add the prefix "mega-" to meter, we get the unit "megameter" (Mm). One megameter is equal to one million meters.

Similarly, if we consider the metric unit of grams, the prefix "mega-" can be added to form the unit "megagram" (Mg). One megagram is equal to one million grams.

In summary, the prefix for one million in the metric system is "mega-". It is used to denote a factor of 10^6 and can be added to various metric units to represent quantities of one million, such as megameter (Mm) or megagram (Mg).

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Answer:

Find the rate of sales tax

R= 9000/120000

=0.075

=7.5%

So, the rate is 7.5%

These forecasts illustrate bias.

Therefore, these forecasts illustrate bias.

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Answer:

C

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we know in our case

b(b+12) = 189 cm²

b² + 12b - 189 = 0

let's try to solve this by completing the square.

that means we try to find the expression

(b + k)² + c

that is equal to

b² + 12b - 189

(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189

so,

2k = 12

k = 6

and then

k² + c = -189

6² + c = -189

36 + c = -189

c = -225

(b + 6)² - 225 = 0

(b + 6)² = 225

b + 6 = 15

b = 9

so, the baseline b = 9 cm.

the height b+12 = 9+12 = 21 cm.

Answer:

5 × 2 = 10

Step-by-step explanation:

5 + 5 = 10

or

2 + 2 + 2 + 2 + 2 = 10

Answer:

  715 mL

Step-by-step explanation:

You want the total volume in two containers that have the volume ratio 4:7 and a difference in volumes of 195 mL.

Considering the question in terms of "ratio units," we see the difference of ratio units is 7-4 = 3, and the total of ratio units is 7+4 = 11. Then the total volume will be 11/3 times the difference in volume:

  total volume = (11/3)(195 mL)

  total volume = 715 mL

__

Additional comment

Though it is not necessary, as a check you can work out the volumes of the containers. The smaller will be 4/3 times the difference: 260 mL, and the larger will be 7/3 times the difference: 455 mL. The total is ...

  455 +260 = 715 . . . mL

and the difference is ...

  455 -260 = 195 . . . mL

If you prefer to work with equations for the volume, you can let x and y represent the volumes of the smaller and larger containers. Now you have ...

  x/y = 4/7

  y -x = 195

Substituting for y gives ...

  x/(195 +x) = 4/7

  7x = 4(195) +4x

  3x = 4(195)   ⇒   x = (4/3)·195 . . . . as above

Then the total volume is ...

  x+y = 195 +2x = 195(1 +2·4/3) = 11/3·195 . . . as above

Answer:

The first rectangle is 3x² - 6x + 13 more square feet then the second rectangle

Step-by-step explanation:

A rule for subtracting polynomials

Steps

At the end of the expression is (7x²- 4x + 12) + -4x² - 2x + 1

At this point you combine like terms like you do with adding polynomials so ( 7x² + (-4x²) is 3x², (-4x) + (-2x) is (-6x), and 12 + 1 is 13) so the final answer would be 3x²-6x+13

An example of an equation is 4.5 x = 13.2 because it shows that two expressions are equal.

We can say that an expression is a random combination of numbers, variables, functions, etc.

For example, 3x - 2 is an expression.

While on the other hand, an equation means that two different expressions are connected to each other by an equal sign in between, For example, 3x - 2 = 5 + x is an equation.

Based on the above examples, we can say that:

An example of an equation is 4.5 x = 13.2 because it shows that two expressions are equal.

Therefore, An example of an equation is 4.5 x = 13.2 because it shows that two expressions are equal.

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Answer: The answer is 1.30

Step-by-step explanation: Because if you add the whole itt equal 1 and 3/10 is .30 which equals 1.30

Answer:

  1.3

Step-by-step explanation:

We assume that each square in the model represents 1 unit. Each square is divided into 10 parts, so each of those strips represents 1/10 unit, or 0.1 when written in decimal.

There are 3 of the 0.1-unit strips colored in the second square, representing 0.3 units. The number represented by the shaded portion of the model is ...

  1 + 0.3 = 1.3

Answer:

Look at image

Step-by-step explanation: