does anyone know how to do this let me know if you do.​

The angle vector 'a' makes with the positive x-axis is 90° to 180°.

A vector is a quantity that has magnitude as well as direction one such example of this is velocity where we describe speed and direction also.

Given a vector a with two components one in the x direction and another one in the y direction.

The x component of the vector ax < 0 which is on the 2nd quadrant and the y component of the vector is ay > 0 which we join to the tail of the component ax.

∴ The angle it makes with the positive x-axis is 90° to 180° as it is on the second quadrant.

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9514 1404 393

Answer:

Step-by-step explanation:

A ray is named by naming its end point and one other point on the ray. Here, the ray can be named IL or IR, using end point I and either of points L or R to complete the name.

x = (5/6v) + 7

Solve for v

(5/6v) = x - 7

5 = (x -7)(6v)

6v = 5/(x-7)

v = 5/(6 (x-7))

If you increase the standard deviation, the size of the confidence interval (CI) will widen. This is because the standard deviation is a measure of the variability of the data, and increasing it means that there is more uncertainty in the estimate of the population parameter.

As a result, the range of values that could plausibly contain the true population parameter increases, leading to a wider CI.  If you increase the standard deviation while keeping the sample size (15) and confidence level (95%) the same, the size of your confidence interval (CI) will widen. This is because a larger standard deviation indicates more variability in the data, which in turn leads to a larger range within which the true population mean (M-22) is likely to lie.

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The number of individuals needed to produce the sample data used to find the regression equation is 21.

Given,

In the question:

A researcher who is evaluating the significance of a multiple regression equation with two predictor variables, obtains an F-ratio with df = 2, 18.

To find the regression equation.

Now, According to the question:

F test:

In the multiple regression, the relationship between the variables is statistically significant can be check by F-test. The F-test used to determine the statistical regression models which is best suited for the population.

A value of 2 represents the degrees of freedom due to regression.

and, the value 18 represents the degrees of freedom due to or residuals.

The formula of degree of freedom due to residual is:

\(df_r_e_s_i_d_u_a_l\) = n - k - 1

The number of individuals in the sample data (n) can be calculated as:

\(df_r_e_s_i_d_u_a_l\) = n - k - 1

18 =  n - 2 - 1

18 =  n - 3

18 + 3 = n

21 = n  OR

n = 21

Hence, The number of individuals needed to produce the sample data used to find the regression equation is 21.

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Answer:

d

Step-by-step explanation:

The partial sum of the geometric series is;

⇒ 125 + 25 + 5 + 1

Option A is true.

What is Geometric series?

Geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

Given that;

The geometric series.

∑ 125 (1/5)ⁿ⁻¹ ; where, n = 1 to 4.

Now, Calculate the partial sum of the geometric series as;

The geometric series = ∑ 125 (1/5)ⁿ⁻¹

Substitute n = 1, 2, 3, 4, we get;

= 125 (1/5)¹⁻¹ + 125 (1/5)²⁻¹ + 125 (1/5)³⁻¹ + 125 (1/5)⁴⁻¹

= 125 (1/5)⁰ + 125 (1/5)¹ + 125 (1/5)² + 125 (1/5)³

= 125 + 25 + 125/25 + 125/125

= 125 + 25 + 5 + 1

Thus, The partial sum of the geometric series is;

⇒ 125 + 25 + 5 + 1

Option A is true.

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For f(1), the given polynomial function f(x) = 16x⁵ - 72x⁴ + 137x³ + 43x² - 244x + 120 is zero.

Given,

The polynomial function;

f(x) = 16x⁵ - 72x⁴ + 137x³ + 43x² - 244x + 120

We have to all the zeros .

Here,

We can use Rational zero theorem;

That is,

f(x) = 16x⁵ - 72x⁴ + 137x³ + 43x² - 244x + 120

Find p/q

Where, p is 16x⁵ - 72x⁴ + 137x³ + 43x² - 244x + 120 and q is 16

So,

p/q = (±16, ±72, ±137, ±43, ±244, ±120) / ±16

= ±1, ±4.6875. ±8.5625, ±2.6875, ±15.25, ±7.5

Now,

f(1) = 1 × 1⁵ - 4.6875 × 1⁴ + 8.5625 × 1³ + 2.6875 × 1² - 15.25 × 1 + 7.5

f(1) = 1 - 4.6875 + 8.5625 + 2.6875 - 15.25 + 7.5

f(1) = 0

That is,

For f(1), the given polynomial function f(x) = 16x⁵ - 72x⁴ + 137x³ + 43x² - 244x + 120 is zero.

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Answer:

-2y= -23-15

-2y=-38

-y= -38/2

-y=19 proved

2 ÷ 40 = 20

so

1 mile = 20 minutes

20 minutes × 8 miles = 160 minutes

160 minutes into hours and minutes = 2 hours and 40 minutes

Answer:

160 minutes or 2 hours and 40 minutes

Answer:

i don't know

Step-by-step explanation:

i am lower grade srry

Answer:

Physics - The position of a particle experimenting an uniform accelerated motion. (Quadratic function)

Chemistry - The velocity of the chemical reaction as a function of temperature. (Exponential function)

Physics - Convective heat transfer of an element with its surroundings. (Linear function)

Physics - Time conversion from seconds to minutes. (Linear function)

Physics - Radiative heat transfer from an element. (Quartic function)

Step-by-step explanation:

There are many examples of applications of function in real life:

Physics - The position of a particle experimenting an uniform accelerated motion. (Quadratic function)

\(y = y_{o} + v_{o}\cdot t + \frac{1}{2}\cdot a \cdot t^{2}\) (1)

Where:

\(y\) - Current position.

\(y_{o}\) - Initial position.

\(v_{o}\) - Initial velocity.

\(a\) - Acceleration.

\(t\) - Time.

Chemistry - The velocity of the chemical reaction as a function of temperature. (Exponential function)

\(k = A\cdot e^{-\frac{E_{o}}{R\cdot T} }\) (2)

Where:

\(A\) - Frequency factor.

\(E_{o}\) - Activation energy.

\(R\) - Ideal gas constant.

\(T\) - Temperature.

\(k\) - Kinetic constant.

Physics - Convective heat transfer of an element with its surroundings. (Linear function)

\(\dot Q = h\cdot A_{s} \cdot (T-T_{\infty})\) (3)

Where:

\(h\) - Convective constant.

\(A_{s}\) - Surface area.

\(\dot Q\) - Heat transfer rate.

\(T_{\infty}\) - Temperature of the surroundings.

\(T\) - Surface temperature of the element.

Physics - Time conversion from seconds to minutes. (Linear function)

\(t' = \frac{1}{60}\cdot t\) (4)

Where:

\(t\) - Time, in seconds.

\(t'\) - Time, in minutes.

Physics - Radiative heat transfer from an element. (Quartic function)

\(\dot Q = \epsilon \cdot \sigma \cdot A_{s}\cdot T^{4}\) (5)

Where:

\(\dot Q\) - Heat transfer rate.

\(T\) - Surface temperature of the element.

\(A_{s}\) - Surface area.

\(\epsilon\) - Emissivity.

\(\sigma\) - Stefan-Boltzmann constant.

We solve as follows:

We have that the solutions for the problem are x = 7sqrt(3) or x = -7sqrt(3).

Answer:

15

Step-by-step explanation:

-75 x-3 is 225

Square root of 225 is 15

Answer:

22 students are in the environmental club

Step-by-step explanation:

220 / 10 = 22

Answer:

22

Step-by-step explanation:

The optimal number of responses for a given item on a measure should be between 4 and 9 to ensure appropriate sensitivity and flexibility of the measure. That means option D is the correct answer.

A measure is a standardized test, survey, or assessment used to obtain data. It can refer to any evaluation instrument that obtains quantitative data and uses a set of rules for scoring.

In order to ensure that a measure is dependable, the number of responses for each item should be appropriate.

A measure's sensitivity and flexibility are affected by the number of responses.

In other words, to make certain that the data collected is both accurate and usable, the number of options or responses given for a question should be optimal.

Therefore, the optimal number of responses for a given item on a measure should be between 4 and 9 to ensure appropriate sensitivity and flexibility of the measure.

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Answer:

First choice, 75%

Step-by-step explanation:

Add all the numbers together:

15 + 8 + 10 + 12 + 15 = 60

So the probability that you'll get a lose a turn card is 15/60 which simplified is 1/4, 1/4 in decimal form is 0.25 which is 25%. % means out of 100 so to double check: 1/4 times 100 = 100/4 = 25%

There's a 25% chance that you will draw the lose a turn card so

100% - 25% = 75%

So there's a 75% probability you will not draw the lose a turn card

Answer:

Amount saved = £ 303.80

Step-by-step explanation:

Original Price = £980

After 25% discount :

                            \(980 - (25 \% \times 980) = \£ 735\)

On the final day further discount of 8%.

That is ,

       \(735 - (8 \% \times 735) = \£ 676.20\)

Total savings if buying on the final day of sale = 980 - 676.20 =£303.80  

Answer:

1. Volume = 1,323

2. Area = 866.64

Step-by-step explanation:

Volume of Prism = Area of base×height

First find the volume of the rectangular prism:

Volume of Rectangular Prism= w*h*l = (9)(14)(8) = 1,008

w = width = 14

h = height = 8

l = length = 9

Second find the volume of the triangular prism:

Volume of Triangular Prism= 1/2(b*h*l) = 1/2(5*14*9) = 1/2(630) = 315

b = base = 14

h = height = 5

l = length = 9

Now we just add the two volumes together

1,008 + 315 = 1323

Volume = 1,323

Now for the second figure, it is a capsule, to find the total surface area, we use the formula: A = 4πr² + 2πrh

a = 4 × 3.14 × 6² + 2 × 3.14 × 6 × 11

Multiply 4 and 3.14 to get 12.56

a = 12.56 × 6² + 2 × 3.14 × 6 × 11

Calculate 6 to the power of 2 and get 36

a = 12.56 × 36 + 2 × 3.14 × 6 × 11

Multiply 12.56 and 36 to get 452.16

a = 452.16 + 2 × 3.14 × 6 × 11

Multiply 2 and 3.14 to get 6.28

a = 452.16 + 6.28 × 6 × 11

Multiply 6.28 and 6 to get 37.68

a = 452.16 + 37.68 × 11

Multiply 37.68 and 11 to get 414.48

a = 452.16 + 414.48

Add 452.16 and 414.48 to get 866.64

Area = 866.64

The first fundamental form is:

ds² = E dX² + 2F dX dY + G dY² = 4 / (1 + X² + Y²)² (dX² + dY²)

We can parameterize the unit sphere using spherical coordinates as follows:

x(u,v) = cos(u)sin(v)

y(u,v) = sin(u)sin(v)

z(u,v) = cos(v)

where u ∈ [0, 2π) and v ∈ [0, π]. The first fundamental form for this parameterization is given by:

E = xₓ² + yₓ² + zₓ² = sin²(v)

F = xₓxᵥ + yₓyᵥ + zₓzᵥ = 0

G = xᵥ² + yᵥ² + zᵥ² = 1

where subscripts denote partial derivatives with respect to u or v. Therefore, the first fundamental form for the unit spherical surface in spherical coordinates is:

ds² = E du² + 2F du dv + G dv² = sin²(v) du² + dv²

The stereographic projection from the north pole of the unit sphere maps a point (x, y, z) on the sphere to the point (X,Y) in the plane given by:

X = x / (1 - z)

Y = y / (1 - z)

We can invert these equations to obtain:

x = 2X / (1 + X² + Y²)

y = 2Y / (1 + X² + Y²)

z = (-1 + X² + Y²) / (1 + X² + Y²)

Using the chain rule, we can compute the partial derivatives of x, y, and z with respect to X and Y:

xₓ = 2(1 - X² - Y²) / (1 + X² + Y²)²

xᵧ = 4XY / (1 + X² + Y²)²

yₓ = 4XY / (1 + X² + Y²)²

yᵧ = 2(1 - X² - Y²) / (1 + X² + Y²)²

zₓ = -2X / (1 + X² + Y²)²

zᵧ = -2Y / (1 + X² + Y²)²

Therefore, the first fundamental form for the stereographic projection of the unit spherical surface is given by:

E = xₓ² + yₓ² + zₓ² = 4 / (1 + X² + Y²)²

F = xₓxᵧ + yₓyᵧ + zₓzᵧ = 0

G = xᵧ² + yᵧ² + zᵧ² = 4 / (1 + X² + Y²)²

Hence, the first fundamental form is:

ds² = E dX² + 2F dX dY + G dY² = 4 / (1 + X² + Y²)² (dX² + dY²)

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Answer:

I believe it says the vertex at Y is moved to T:

the angle of each side changes by 360 / 8 = 45 at each vertex

If 3 vertices separate Y and T the the total rotation would be

3 * 45 = 135 deg

The octagon rotated 135 degree.

An octagon is a polygon with eight sides.

The total angle at the center is 360 degree and for a regular octagon, the angle made by each side is equal to 360/8 = 45 degree.

The octagon STUVWXYZ is rotated clockwise such that, the vertex Y moves to T.

Movement of Y to T is moving 3 steps clockwise

= 45* 3

= 135 degree

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The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

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If side a is perpendicular to the third side of the triangle, it implies that a = b * sin(A) since tan(A) = sin(A) / cos(A).

To show that if side a is perpendicular to the third side of the triangle, then a = b * sin(A), we can use the trigonometric relationship involving sine in a right triangle.

Let's consider a triangle ABC, where side a is perpendicular to the third side BC at point D. Angle A is opposite to side a. Side b is adjacent to angle A.

In triangle ABC, according to the definition of sine, we have:

sin(A) = opposite/hypotenuse

Since side a is perpendicular to side BC, it serves as the opposite side to angle A.

Therefore, sin(A) = a/hypotenuse.

Now, let's focus on side AC, which is the hypotenuse of the triangle. By using the definition of cosine, we have:

cos(A) = adjacent/hypotenuse

Since side b is adjacent to angle A, we can rewrite this equation as:

b = cos(A) * hypotenuse.

We can rearrange this equation to solve for hypotenuse:

hypotenuse = b / cos(A).

Now, substituting the value of hypotenuse into the equation sin(A) = a/hypotenuse, we get:

sin(A) = a / (b / cos(A)).

Multiplying both sides by (b / cos(A)), we have:

(b / cos(A)) * sin(A) = a.

Simplifying the left-hand side, we get:

b * (sin(A) / cos(A)) = a.

Using the identity tan(A) = sin(A) / cos(A), we can rewrite the equation as:

b * tan(A) = a.

Finally, dividing both sides of the equation by tan(A), we obtain:

a = b * tan(A).

So, if side a is perpendicular to the third side of the triangle, then a = b * tan(A).

Therefore, if side a is perpendicular to the third side of the triangle, it implies that a = b * sin(A) since tan(A) = sin(A) / cos(A).

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The car will need 6 gallons of gasoline to travel 102 miles

Given that the car travels 442 miles on 26 gallons of gasoline.

Because the more the distance, the more the volume of gasoline used, this is a direct proportion.

So, we have:

It will need 6 gallons.

34% of the data in a normal distribution is more than 1 standard deviation above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.

To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.

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Part (c) is the correct option i.e. The total dealer's cost is $16588.36.

What is Percentage ?

Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given, Cost paid for car's options = 82 % $3,098 = $2540.36

           Cost paid for base price = 85 % $15,480 = $13158.

           Destination charge = $890

∴ The total dealer's cost will be :

 = Cost paid for car's options +  Cost paid for base price +  Destination charge

=  $2540.36 + $13158 + $890

= $16588.36.

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There are two equations given 3x + y = 13 and 4x - 3y = 13.

Multiply the first equation by 3 to get 9x + 3y = 39 and add it to second equation.

Substitute x = 4, in first equation to find y,

Answer:

A

Step-by-step explanation:

The triangles are the same. Congruent is when all three sides are equal to each other on both triangles

Answer:

a

Step-by-step explanation:

because as time increases by 1 hr, the number of arrangements increases simultaneously by 3. so I can conclude that a=3hrs