What are the ratios for sin A and cos A? The diagram is not drawn to scale. 20 29 21

The two sides of an inequality are not the same so inequality can never be true.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that the inequality is 2(3x - 1) +4> 6x + 2. The inequality will be solved as below;-

2(3x - 1) +4> 6x + 2

6x - 2 + 4 > 6x + 2

6x + 2 > 6x + 2

The two sides are equal so inequality can never be true.

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Answer:

Total profits = 49.50n

Step-by-step explanation:

Cost of each quilt = $30.50

Selling price of each quilt = $80

Profits = selling price - cost price

= $80 - $30.50

= $49.50

Profits = $49.50

If n = number of quilts she sells

which expression could be used to represent her total profits?

Total profits = profits of each quilt × number of quilt sold

= $49.50 × n

= 49.50n

Total profits = 49.50n

DEF is an acute angke because the measure we can notice is less than a right angle

then the value is less than 90°

then right option should be D and E

C isnt because we can notice the angle is

Answer:

1-19i

Step-by-step explanation:

The velocity of a particle = i + 2t j

The acceleration of a particle = 2 j

The speed of a particle = \(\sqrt{1 + 4t^{2} }\)

Here,

The position function is, \(r (t ) = ti + t^{2} j +2k\)

We have to find, the velocity, acceleration, and speed of a particle with the given position function.

What is Velocity of a particle with the given position function?

The instantaneous velocity v(t) of a particle is the derivative of the position with respect to time. That is, v(t)=dx/dt.

Now,

The position function is, \(r (t ) = ti + t^{2} j +2k\)

The velocity of a particle = \(\frac{d r(t)}{dt}\)

\(r (t ) = ti + t^{2} j +2k\)

\(\frac{d r(t)}{dt} = i + 2t j\)

The acceleration of a particle = \(\frac{d^{2} r(t)}{dt^{2} }\)

\(r (t ) = ti + t^{2} j +2k\)

\(\frac{d r(t)}{dt} = i + 2t j\)

\(\frac{d^{2} r(t)}{dt^{2} }= 2j\)

The speed of a particle = \(| \frac{d r(t)}{dt}| = |v(t)|\)

\(\frac{d r(t)}{dt} = i + 2t j\)

\(|v(t)|=\sqrt{1 + 4t^{2} }\)

Hence, The velocity of a particle = \(i + 2t j\)

The acceleration of a particle = \(2 j\)

The speed of a particle = \(\sqrt{1 + 4t^{2} }\)

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The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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1. None of the lines are parallel.

2. Lines B and C are perpendicular.

Lines are classified as parallel or perpendicular depending on their slopes, with the definition given as follows:

Given two points of a line, the slope of the line is calculated as the division of the change in y by the change in x of these points.

Applying the definition given above, the slope for each line is calculated as follows:

Hence we have that there are no parallel lines, as none of the lines have equal slope.

Lines B and C are perpendicular, as the multiplication of their slopes is of -1, as shown as follows:

3/2 x (-2/3) = -6/6 = -1.

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Answer:

A regular n-gon with one interior angle of 150° has 12 sides.

Step-by-step explanation:

The formula for the measure of each interior angle of a regular n-gon is:

where:

We are given that one interior angle measures 150°, so we can set up the equation:

Multiplying both sides by n, we get:

Distributing, we get:

Subtracting 150n from both sides, we get:

Adding 360 to both sides, we get:

Dividing both sides by 30, we get:

Therefore, a regular n-gon with one interior angle of 150° has 12 sides.

Answer:

0.9545

Step-by-step explanation:

Let an integer be x.

If x is increased by 15%, then the value of the number would be

115/100x=1.15x

If 1.15x is decreased by 17%, then the value of the number would be:

(100-17)/100×1.15x

83/100×1.15x=0.9545x

Answer:

0.9545  

Step-by-step explanation:

15 % increase

17% decrease

increase followed by decrease

The indefinite integral \(\int 12\sin(x)\cos^3(x)dx\) is equal to \(-3\cos^4(x) + C\), where \(C\) is the constant of integration.

To evaluate the indefinite integral \(\int 12\sin(x)\cos^3(x)dx\), we can use the method of substitution. This technique involves substituting a new variable to simplify the integral.

Let's make the substitution \(u = \cos(x)\). Then, we can differentiate both sides of this equation with respect to \(x\) to find \(du\):

\[du = -\sin(x)dx\]

Now, let's rewrite the integral using this substitution:

\[\int 12\sin(x)\cos^3(x)dx = \int 12(-u^3)du = -12\int u^3du\]

We can now integrate the new expression \(-12\int u^3du\) with respect to \(u\). Integrating \(u^3\) gives us \(\frac{1}{4}u^4\):

\[-12\int u^3du = -12\cdot \frac{1}{4}u^4 + C = -3u^4 + C\]

Finally, substitute back the original variable \(x\) to obtain the final result:

\[-3\cos^4(x) + C\]

Therefore, the indefinite integral \(\int 12\sin(x)\cos^3(x)dx\) is equal to \(-3\cos^4(x) + C\), where \(C\) is the constant of integration.

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Answer:

x=13

Step-by-step explanation:

For a to be parallel to b, 7x-26 + 9x-2 would have to = 180.

If we solve this equation,

16x-28=180

16x=208

x=13

x would have to equal 13 for a || b.

Answer:

x=13

Step-by-step explanation:

7x-26+9x-2=180

16x-28=180

16x=208

208/16=x

13=x

Answer:

Inequality Form:

t < −7

Interval Notation:

(−∞,−7)

Answer:

t < -7

t ∈ ( -∞, -7 )

Step-by-step explanation:

-4 ( 3t - 9 ) > 8 ( 8 - t )

1. Distribute

-4 ( 3t - 9 ) > 8 ( 8 - t )

-12t + 36 > 64 - 8t

2. Inverse operations ans simplifying

-12 t + 36 > 64 - 8t

+12t                  + 12t

36 > 64 + 4t

-64   -64

-28 > 4t

/4     /4

-7 > t

Answer:

Slope intercept form is -1/7x + 7

!Hope this helps!

Step-by-step explanation:

The probability of selecting an adventure movie is 2/x.

To calculate the probability, we need to determine the number of favorable outcomes (the number of adventure movies) and the total number of possible outcomes (the total number of movies on Cher's shelf).

Given that there are 2 adventure movies on Cher's shelf, and the total number of movies is not specified, we can represent the total number of movies as "x."

Therefore, the probability of selecting an adventure movie is:

Number of Adventure Movies / Total Number of Movies

= 2 / x

Since we don't have the specific value of "x," we cannot reduce the fraction further. The probability of selecting an adventure movie is 2/x.

Answer:

1/6

Step-by-step explanation:

Since Cher has a total of "10 movies + 2 adventure movies = 12 movies" on her shelf and only 2 of them are adventure movies, the probability of her selecting an adventure movie is:

2/12 = 1/6

Therefore, the probability that Cher selects an adventure movie is 1/6.

Answer:

1

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify.

4-2-1=1

Answer:

1

Step-by-step explanation:

a-b+c

=4-2+(-1)

=2-1

=1

Answer:

60

Step-by-step explanation:

60x500/3=10,000

To earn $10,000 in one day Mark needs 60 clients in one day.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given that, Mark makes a total of $500 for every 3 clients she acquired.

∴ To find how many clients he needs to earn $10,000 in a day we have to divide the earnings wanted by earnings per client which is,

= (10000)÷(500/3).

= 10000×3/500.

= 100×3/5.

= 300/5.

= 60.

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Answer:

8?

Step-by-step explanation:

Answer:

g = -8

Step-by-step explanation:

g-16

------ = -8

2

g = -8

Answer:

$324

Step-by-step explanation:

8.10 x 40 is 324, meaning she'll have 324 dollars in the 40 hours of working.

Answer:

324

Step-by-step explanation:

If Eve is paid 8.10 an hour, and she works for 40 hours, then it will be 8.10 x 40 = 324

An object is moved rigidly when it is transferred from one location to another without affecting its size or shape.

A "matching" figure is one that can be placed perfectly on another. The bread has the same size and form when it is stacked. Match refers to objects that are precisely the same size and form. If one of two geometric figures can be consistently overlaid on the other, they are said to be congruent or to be in a congruent relationship.

An object is moved rigidly when it is transferred from one location to another without affecting its size or shape. Only a precise movement may generate a correspondence between two forms, and only then can two shapes match.

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In order to determine the cost for 0.5 hours, Mohal would need to know the initial studio-use fee and the hourly fee charged by the studio.

It is not possible to determine the amount of money Mohal would need to pay in studio fees for 0.5 hours based on the information provided. The table shows a linear relationship between the number of hours in the studio (t) and the total amount of money paid (P), but it does not provide a mathematical equation that can be used to calculate the cost for any given number of hours. In order to determine the cost for 0.5 hours, Mohal would need to know the initial studio-use fee and the hourly fee charged by the studio.

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The solution set of the given inequality is  {b| b > 20}.

Here we have the inequality (3/4)b > 15 and we want to solve it. To do so, we just need to isolate the variable b.

And to do it, we can work with this like we would do with any equation, we can just multipy both sides by (4/3) so we get:

(4/3)*(3/4)*b > 15*(4/3)

b > 20

Then the solution set can be written as {b| b > 20}

That is the set of all values larger than 20.

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Answer:

1-5

Step-by-step explanation:

5 - 1 = 4

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Answer:

D

I guess you just have to add them

Answer:

D

Step-by-step explanation:

Which of the following is equivalent to (a^1/2 * b^1/3)^1/2?

Note: To distribute exponents in a parentheses where the two variables are being multiplied, you can distribute it to the powers. For example:

(4 * 5)² = 20² = 400

Or, we can rewrite it like:

(4 * 5)² = 4² * 5² = 16 * 25 = 400

Now, onto the problem.

First, multiply the exponents with the one outside the parentheses.

a^(1/2 * 1/2) * b^(1/3 * 1/2)

Simplify.

a^(1/4) * b^(1/6)

So, the answer is D.

Just in case, let's double check the answer.

Let's pretend that a=16 and b=64.

Then,

(a^(1/2) * b^(1/3))^(1/2) = a^(1/4) * b^(1/6)

(16^(1/2) * 64^(1/3))^(1/2) = 16^(1/4) * 64^(1/6)

(4 * 4) ^ (1/2) = 2 * 2

16 ^ (1/2) = 4

4 = 4

Thus, the answer is correct.

The drag force acting on the dolphin swimming at 7.2 m/s in 20°C seawater is roughly 146.3 N.

The Reynolds number is used to determine whether the fluid flow is laminar or turbulent.

A drag force, the force that opposes the motion of an object through a fluid, acts on an object moving through a fluid like seawater.

According to the given data, the diameter of a bottlenose dolphin is 0.50 m. At 20 °C, the velocity of seawater is roughly 1500 m/s.

We need to calculate the Reynolds number for a dolphin swimming at a speed of 7.2 m/s in seawater of 20°C.

The Reynolds number formula is given by;

                                     Re = ρVD/μWhere,ρ is the density of seawater, 1025 kg/m³

                                    V is the velocity of the fluid, 7.2 m/s

                                               D is the diameter of the dolphin, 0.5 mμ is the dynamic viscosity of seawater, 0.001139 kg/(m-s)

Substituting the given values,Re = (1025 kg/m³)(7.2 m/s)(0.5 m) / (0.001139 kg/(m-s))

                                                  = 203830.67

The Reynolds number for a dolphin swimming at 7.2 m/s in 20°C seawater is approximately 203830.67

Part B The drag force is calculated using the following formula;

                                    Fd = (1/2)ρCDAV²Where,ρ is the density of seawater, 1025 kg/m³CD is the drag coefficient, 0.090A is the cross-sectional area of the dolphin, πD²/4V is the velocity of the fluid, 7.2 m/sD is the diameter of the dolphin, 0.5 m

Substituting the values,Fd = (1/2)(1025 kg/m³)(0.090)(π × 0.5²/4)(7.2 m/s)²= 146.2955 N

Therefore, the drag force acting on the dolphin swimming at 7.2 m/s in 20°C seawater is roughly 146.3 N.

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Answer:

Step-by-step explanation:

Something

Answer:

(x-3) (x-7)

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -10x  its coefficient is  -10 .

The last term, "the constant", is  +21  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 21 = 21  

Step-2 : Find two factors of  21  whose sum equals the coefficient of the middle term, which is   -10 .

     -21    +    -1    =    -22  

     -7    +    -3    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -3  

                    x2 - 7x - 3x - 21

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x-3)  •  (x-7)

            Which is the desired factorization