If θ is an angle in standard position and its terminal side passes through the point (4,3), find the exact value of \sin\thetasinθ in simplest radical form.

Answer:

x=15

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

See image below

Answer:

159.64

Step-by-step explanation:

30.7% / 100 = 0.307 then you would do
0.307 x 520 = 159.64

The number on the third term and the eleventh term will be 22 and 46, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

In a game, the number of dominos in different lines structures an A.P. Assuming that the quantity of dominos in the third and eleventh cell together is 68 and the quantity of dominos in the eleventh cell is 24 a bigger number than of the third cell.

Let 'x' be the third number and 'y' be the eleventh number. Then the equations are given below.

x + y = 68          ...1

y = x + 24          ...2

From equations 1 and 2, then we have

x + x + 24 = 68

2x = 44

x = 22

Then the value of the variable 'y' will be given as,

y = 22 + 24

y = 46

The number on the third term and the eleventh term will be 22 and 46, respectively.

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Answer:

x<7, The third option

Step-by-step explanation:

-1.1x+6.4>-1.3

We are trying to isolate x so we can move all the constant to one side.

-1.1x>-1.3-6.4

-1.1x>-7.7

Lastly, we need to divide both sides by -1.1.

-1.1x>-7.7/-1.1

Note that if you multiply or divide both sides of an inequality by a negative, then you need to flip the sign.

x<7

Hope this helps :)

Answer:

I believe it is the third option. It is really hard to explain. Lots of workout and I don't have enough time for it nut it is the third option...

i. The Fourier transform of (t - 2) - 38(t - 3) is [(jw)^2 + 38jw]e^(-2jw). ii. The Fourier transform of e^(-2t)u(t) is 1/(jw + 2). iii. The Fourier transform of e^(-3t+12)u(t-4) can be obtained using the result of ii. as e^(-2t)u(t-4)e^(12jw). iv. The Fourier transform of e^(-2|t|)cos(t) is [(2jw)/(w^2+4)].

i. To find the Fourier transform of (t - 2) - 38(t - 3), we can use the linearity property of the Fourier transform. The Fourier transform of (t - 2) can be found using the time-shifting property, and the Fourier transform of -38(t - 3) can be found by scaling and using the frequency-shifting property. Adding the two transforms together gives [(jw)^2 + 38jw]e^(-2jw).

ii. The function e^(-2t)u(t) is the product of the exponential function e^(-2t) and the unit step function u(t). The Fourier transform of e^(-2t) can be found using the time-shifting property as 1/(jw + 2). The Fourier transform of u(t) is 1/(jw), resulting in the Fourier transform of e^(-2t)u(t) as 1/(jw + 2).

iii. The function e^(-3t+12)u(t-4) can be rewritten as e^(-2t)u(t-4)e^(12jw) using the time-shifting property. From the result of ii., we know the Fourier transform of e^(-2t)u(t-4) is 1/(jw + 2). Multiplying this by e^(12jw) gives the Fourier transform of e^(-3t+12)u(t-4) as e^(-2t)u(t-4)e^(12jw).

iv. To find the Fourier transform of e^(-2|t|)cos(t), we can use the definition of the Fourier transform and apply the properties of the Fourier transform. By splitting the function into even and odd parts, we find that the Fourier transform is [(2jw)/(w^2+4)].

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To test the hypothesis of mean differences in artificially sweetened drink consumption among BMI groups, assuming a normal distribution, the researcher might use a one-way ANOVA.

The one-way ANOVA compares the means of three or more independent groups and determines if there are statistically significant differences among them. In this case, the BMI groups (normal weight, overweight, and obese) represent the independent groups, and the number of artificially sweetened drinks consumed is the dependent variable. By conducting a one-way ANOVA, the researcher can assess if there are significant differences in mean consumption among the BMI groups and draw conclusions regarding their hypothesis.

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A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.

The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.

The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.

The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.

It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.

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The given expression is the explicit equation for arithmetic progression whose first term is 19 and the common difference is -7.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
Given expression,
an=19-7(n-1)

The above-given expression is an explicit formula for the arithmetic progression,

Comparing the given expression with general expression an = a + d[n-1]

From the above comparison, we
first term,a = 19 and
the common difference, d = -7

Thus, the given expression is the explicit equation for arithmetic progression whose first term is 19 and the common difference is -7.

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Answer:

29(!£6287&7&(&

Step-by-step explanation:

That's it ty

Answer:one yard costs $15 (x=15)

Step-by-step explanation:

300-60=240. So, 16 yards=$240

16x=240

240/16=15

X=15 (one yard costs $15)

The price for  one square yard of carpet is $15.

Given that,

Based on the above information, the calculation is as follows:

\(= (\$300 - \$60) \div 16\)

= $15

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Answer:

A

Step-by-step explanation:

Answer: 3.375

Step-by-step explanation:

Multiply

1 1/2 × 2 1/4 = 27/8

Simplify

27/8 = 3  3/8

Answer:

~ generally is substituted by negation

Hence, option D (Even numbers are not divisible by 2) would be the correct answer.

Answer:

8

Step-by-step explanation:

\(P = \{3,6,9\}\\\\\text{Number of elements,}~ n = 3\\\\\text{Number of subset} = 2^n = 2^3 = 8\)

True. et a be square real matrix if v is an eigenvector for eigenvalue λ then v is an eigenvector for eigenvalue λ

In linear algebra, if a is a square real matrix and v is an eigenvector of a corresponding to eigenvalue λ, then v is also an eigenvector of a corresponding to the same eigenvalue λ. The definition of an eigenvector states that it remains unchanged (up to scaling) when multiplied by the matrix, and this property holds regardless of whether the eigenvalue is repeated or not. Therefore, if v satisfies the equation a * v = λ * v, it will still satisfy the same equation when considering the eigenvalue λ.

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Answer:

D

Step-by-step explanation: WONDERWALL RULES

Wonderwall

Song by Oasis

Today is gonna be the day

That they're gonna throw it back to you

By now you should've somehow

Realized what you gotta do

I don't believe that anybody

Feels the way I do about you now....Ye i cant type the whole song but i tried!!

The area of the region between the graphs y^2 = 8x and x^2 = 8y is (64/3 - 64) square units.

The area (a) of the region between the graphs of the equations y^2 = 8x and x^2 = 8y can be determined by finding the points of intersection and evaluating the definite integral of the difference in the y-coordinates.

To find the points of intersection, we set the two equations equal to each other: y^2 = 8x and x^2 = 8y. Solving these equations, we find two points of intersection: (4, 4) and (0, 0).

Next, we can set up the definite integral to calculate the area between the curves. We integrate the difference in the y-coordinates from y = 0 to y = 4 (the y-values of the intersection points). The integral expression for the area is: a = ∫[0 to 4] (y2 - x2) dy.

To simplify the integral, we need to express x in terms of y. From the equation x^2 = 8y, we get x = √(8y). Substituting this expression into the integral, we have a = ∫[0 to 4] (y2 - 8y) dy.

Evaluating the integral, we get a = [(y^3)/3 - 4y^2] evaluated from 0 to 4. Plugging in these limits, we find a = (64/3 - 64) - (0 - 0) = 64/3 - 64.

Therefore, the area of the region between the graphs y^2 = 8x and x^2 = 8y is (64/3 - 64) square units.

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I think its 9.7980........

Answer:     Ok I'm assuming you got this question from FLVS. There answer is NOT correct. Perpendicular lines are lines that intersect two given points at about 90 degrees. Think of it like this, the slope is 3. Perpendicular slopes are opposite, so the opposite reciprocal of 3 is -1/3. Now plug in x. X should render 3. -1/3 times (-6) = 2. Now adding 5 or 6 like you guys put is wrong because 5 + 2 =7. NOT 3. So y = -1/3 (-6) = 2. Now -y = 2 + 1 =3.

So the correct answer is y = - 1/3 x +1.

In the given figure,

line a is parallel to line b,

Therefore,

∠1 + ∠90° = 180° ............... (Since they are Linear pairs)

⇒ ∠1 = 90°

∠1 = ∠3 and ∠2 = ∠90°............. (Vertically opposite angles)

⇒ ∠1 = ∠3 = ∠2 = ∠90°

∠2 = ∠4 and ∠3 = ∠5 ................ (Alternate interior angles)

⇒ ∠4 = ∠5 = ∠90°

∠4 = ∠6 and ∠5 = ∠7 ............. (Vertically opposite angles)

⇒ ∠6 = ∠7 = ∠90°

So,

∠1 = ∠2 = ∠3 = ∠4 = ∠5 =∠6 = ∠7 = 90°

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Answer:

120 in^2

Hope it helps

Answer:

Two lines or shapes that lie exactly on top of each other. Example: these two lines are coincident, only you can't see them both, because they are on top of each other.

Step-by-step explanation:

Answer:

Hardness your cork energy and let it rip

Step-by-step explanation:

First: You must have banger cork 7s and dub 10s on trampoline.

Second: Find a large jump

Third: Hardness your cork energy

Finally: let it rip

Answer:

Solve for x , 1x − 2+1x + 2=4(x − 2)(x + 2) .

1x − 2+1x + 2=4(x − 2)(x + 2)

(x − 2)(x + 2)(x − 2)+(x − 2)(x + 2)(x + 2)=4(x − 2)(x + 2)(x − 2)(x + 2)

(x−2)+(x+2)=4

2x=4

x=2

But 2 is excluded from the domain of the original equation because it would make the denominator of one of the fractions zero--and division by zero is not allowed!  .  Therefore, it cannot be a root of the original equation.  So, 2 is an extraneous solution. So, the equation has no solutions.

Step-by-step explanation:

An equal when substitute x = 4, the solution is not extraneous the solution x = 4 is valid for the original equation.

The equation is: √(2x - 7) = 1

Step 1: Square both sides of the equation to remove the square root:

(√(2x - 7))² = 1²

Simplify:

2x - 7 = 1

Step 2: Add 7 to both sides to isolate the term with "x":

2x - 7 + 7 = 1 + 7

Simplify:

2x = 8

Step 3: Divide both sides by 2 to solve for x:

2x / 2 = 8 / 2

Simplify:

x = 4

Now, we have found that the solution for x is 4.

To check if the solution is extraneous, we need to substitute the value of x back into the original equation and see if both sides are still equal:

Original equation: √(2x - 7) = 1

Substitute x = 4:

√(2(4) - 7) = 1

Simplify:

√(8 - 7) = 1

√1 = 1

1 = 1

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Answer:

16 + p = 51

Step-by-step explanation:

16 + p = 51

so p = 35

Answer:

5 times

Step-by-step explanation:

Jenna wil most likely pull a yellow marble 1/3 of the time, because the total number of marbles is 6, and there are 2 yellow marbles, 2/6 which is 1/3. 1/3 times 15 is 5. So Jenna will most likely pull a yellow marble 5 times.

Answer:

f(x) - 2

Step-by-step explanation:

I just took the quiz

Answer:

(4w) > 28

Step-by-step explanation:

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