I need help on this question

The inclination of the line represented by the equation y = x + 3 is 1, and the inclination of the line represented by the equation 3x - 2y = 6 is 3/2.

To determine the inclination (or slope) of a straight line, we can examine the coefficients of the variables x and y in the equation of the line.

The inclination represents the ratio of how much y changes with respect to x.

Equation: y = x + 3

In this equation, the coefficient of x is 1, which means that for every increase of 1 in x, y also increases by 1.

This indicates that the inclination of the line is positive, meaning it slopes upwards as x increases.

Since the coefficient of x is 1, the inclination can be expressed as 1/1 or simply 1.

Equation: 3x - 2y = 6

To determine the inclination, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope.

First, isolate y:

-2y = -3x + 6

Divide the entire equation by -2 to solve for y:

y = (3/2)x - 3

Now we can observe that the coefficient of x is 3/2.

This indicates that for every increase of 1 in x, y increases by 3/2. Therefore, the inclination of this line is positive, indicating an upward slope.

The inclination can be expressed as 3/2.

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Answer:

y = -5x + 4

Step-by-step explanation:

y=Mx+b

Answer:

10 and 4

Step-by-step explanation:

28 - 14 can be combined into into 28 - 10 - 4

28 - 10 = 18

18 - 4 = 14

Thus, the value of the  sine function for the given values in right angled triangle are obtained as : x = 51.0°.

Triangle angles are measured by the sine function, a trigonometric function. It is equivalent to the ratio of a side across the hypotenuse that is opposite that angle in issue.

sin Ф = opposite side/ hypotenuse

In the given right angled triangle.

sin x = 7/9

x = 51.0°

Thus, the value of the  sine function for the given values in right angled triangle are obtained as : x = 51.0°.

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Using proportions and a linear function, it is found that the temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.

Jody is diving at a rate of 2.5 feet per second, thus, after 20 seconds, his depth is of:

\(20 \times 2.5 = 50\)

The temperature at the surface is of 68 degrees. For each foot, it decreases by 0.3 degrees. Thus, the function is:

\(T(f) = 68 - 0.3f\)

Jody is at a depth of 50 feet, thus the temperature is T(50).

\(T(50) = 68 - 0.3(50) = 53\)

The temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.

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Answer:

y \(\geq\) 4x - 6

Step-by-step explanation:

1. Find the slope using the slope formula (rise over run)

2. Use the slope and one of the points to solve for the y-intercept (b)

3. Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line

The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5  d ) -25/12

Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent.  Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse

the give parameters are:

tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2

a)  sin(α+β)

Using the trig ratios tan = opp/adj

but from pyth. rule, 4² + 3² = h²

16+9 = h²

h = √25 = 5

Now from trig Sin(α+β)

4/5 + 3/5

=- 7/5

b) cos(α+β)

cos = ad/hypo

4/5 + 3/5

= -7/5

c) Sin(α-β)

4/5 - 3/5

-1/5

d) tan(α-β)

= -4/3 - 3/4

= (-16 - 9)/ 12

-25/12

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The volume of a Rectangular prism can be used to calculate the amount of material needed to fill a space, such as concrete for a foundation or drywall for a room

The volume of a rectangular prism, we need to multiply its length, width, and height. Given that the height is 17ft, the width is 13ft, and the length is 12ft, we can use the formula:

Volume of rectangular prism = Length x Width x Height

Substituting the given values, we get:

Volume = 12ft x 13ft x 17ft

      = 2652 cubic ft

Therefore, the volume of the rectangular prism is 2652 cubic feet.

It is important to note that when working with volume calculations, it is important to use the same units for all measurements. In this case, we used feet for all three dimensions to ensure that the final answer is in cubic feet.

The volume of a rectangular prism is used in many real-life scenarios. For example, when calculating the amount of space needed to store items, such as boxes or furniture, or when designing containers for shipping or storage purposes. In construction, the volume of a rectangular prism can be used to calculate the amount of material needed to fill a space, such as concrete for a foundation or drywall for a room. It can also be used in the design of aquariums or swimming pools to determine the amount of water they can hold.

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Answer:

Step-by-step explanation:

X: -2, -1, 0, 1, 2,...

Y: -2, -1, 0, 1, 2,...

(y=x)

Answer:

490000

Step-by-step explanation:

Substituting \(x=40\),

\(I=-425(40)^2 + 45500(40) - 650000=490000\)

Answer:

64%

Step-by-step explanation:

:)

Answer:

64% is correct!

Step-by-step explanation:

46/72 = 0.64 approximately

Answer:

They are parallel

Step-by-step explanation:

Not sure what the question is exactly, but BT and MV are parallel.

Answer:

Its would be A -11/31

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

In the attached file

Answer:

Step-by-step explanation:

Required equation:

1/2,4/3,8/5

Step-by-step explanation:

when u find the lowest you will see that 8/5 and 4/3 have a higher numerator and when you simplify that u will get to 8/5=1 18/30and 1/2=1 and 1/3bwhuch gets you to the lowest

A: The linear equations are x + y = 125 and x = y + 45.

B: Everyday Angela spends 40 minutes in playing golf.

C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Part A:

Let x be the number of minutes Angela plays soccer every day

Let y be the number of minutes Angela plays golf every day

According to the problem statement the linear equations are -

x + y = 125 (total time playing both sports is 125 minutes)

x = y + 45 (Angela plays 45 more minutes of soccer than golf)

Part B:

Substitute x = y + 45 into the first equation -

(y + 45) + y = 125

Use the addition operation -

2y + 45 = 125

2y = 80

y = 40

Angela spends 40 minutes playing golf every day.

Part C:

If Angela spends 80 minutes playing soccer every day, then

x = 80

y + 45 = 80 (using the equation x = y + 45)

y = 35

But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.

This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.

Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.

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The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.

The given expression is \(x^3 - (y - z)^3.\)To factorize it,  the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)

Applying this identity to our expression, we have:

\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)

Simplifying further, we get:

\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)

So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

the above factorization is derived from the application of a mathematical identity.

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The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.

Answer:

A.) 84π | B.) 546π/5

Step-by-step explanation:

A.)

V(Cone) = πr²(h/3) where r = radius and h = height.

r = d/2 where d = diameter.

r = 12/2 = 6

V(Cone) = π(6)²(7/3) = π(36)(7/3) = 84π

B.)

84π · 0.3 = 126π/5

84π + 126π/5 = 546π/5  

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have a particle whose acceleration is a(t) = 3t²/160 -t³/800 and whose velocity at t=20 is 0. You want to show the initial speed is 0, find the maximum speed, and the distance traveled in 20 seconds.

The speed is the sum of the initial speed and that due to acceleration. The speed due to acceleration is the integral of acceleration:

  \(\displaystyle s(20)=s_0+\int_0^{20}{\dfrac{1}{800}(15t^2-t^3)\,dt}}=s_0+\left(\dfrac{t^3}{3200}(20-t)\right)_0^{20}=s_0=0\)

The change in speed over 20 seconds is zero, so the final speed is the initial speed. The final speed is zero, so the initial speed is 0.

The maximum speed is where the acceleration is zero.

  a(t) = 0 = (t²/800)(15 -t)

The acceleration is zero at t=0 and at t=15.

From the above integral, the maximum speed is ...

  s(15) = 15³(20 -15)/3200 = 5.2734375 m/s ≈ 5.27 m/s

The distance traveled is the integral of the speed.

  \(\displaystyle d=\dfrac{1}{3200}\int_0^{20}{(20t^3-t^4)}\,dt=\left.\dfrac{t^4(25-t)}{16000}\right|_0^{20}}=50\)

The particle traveled 50 meters from A to B.

Lo siento mucho, necesito los puntos porque estoy en una prueba.

Answer:

t = 60

t/4+5=20

Step 1:

multiply both sides of equation by 4 to separate t from the fraction t/4.

t + 20 = 80

Step 2:

Subtract 20 from both sides of the equation ( you have to put constant values on the same side)

t= 80 - 20

Step 3:

Do the math

80-20=60 so t=60

Step-by-step explanation:

hope this helps! please give brainiest ^^^

The solution of the given problem of arithmetic mean comes out to be  given series is therefore a geometric sequence.

A list's values are added up to get the average values, also known as the company's means, which is then multiplied by the maximum population of list elements. Similar development patterns can be seen in math. The median of the actual numbers 5, 8, and 9 is 3, while for mean of the real figures 5, 7, as well as 9 is 4, and the number 21 increased by three (there are currently several three numbers) = seven. This is demonstrated by the following equation.

Here,

It is a geometric sequence that is provided.

A mathematical sequence known as a geometric sequence is one in which each term following the first is obtained by multiplying the preceding term by a fixed ratio known as the common ratio. A geometric sequence's overall formula is

=>  a = a1 + \(r^{(n-1)\) (n-1)

where r is the common ratio, n is the amount of terms, and an is the nth term. A1 is the first term.

The first word in the listed order is:

=> a1 = 1/2(4)⁰ = 1/2

Any term can be divided by the preceding term to find the common ratio:

=>  a2/a1 = (1/2(4)¹)/(1/2(4)⁰) = 4/2 = 2

=>  a3/a2 = (1/2(4)²)/(1/2(4)¹) = 4/2 = 2

so forth.

This series is a geometric sequence because the common ratio is constant.

The given series is therefore a geometric sequence.

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Complete question:

Identify the following as arithmetic or geometric,

aⁿ = ½(4)n-1

Answer:

2 hours

Step-by-step explanation:

Answer:

Q+D = 65, multiply both sides by 2525Q + 25D = 162525Q + 10D = 950  subtract to get            15D = 675               D = 675/15 = 135/3 = 45 dimes               Q = 65-45 = 20 quarters25(20) + 10(45) = 500+450 = 950