True or False. If true, give a convincing argument. If false, explain why it is false. Be sure to use mathematical language in your explanation.

As an airplane flies toward you, its angle of elevation increases.

Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

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Answer:

\((3\, y + 2\, z)^{2} - (3\, y - 2\, z)^{2} = 24\, y\, z\)

Step-by-step explanation:

Make use of the fact that for any \(a\) and \(b\):

\(\begin{aligned}& (a + b)\, (a - b) \\ =\; & a^{2} - a\, b + a\, b - b^{2} \\ =\; & a^{2} - b^{2}\end{aligned}\).

In other words, the difference \((a^{2} - b^{2})\) between two squares could be written as the product of \((a + b)\) and \((a - b)\).

Apply this identity to rewrite and simplify the expression in this question. In this example, \(a = 3\, y + 2\, z\) whereas \(b = 3\, y - 2\, z\).

\(\begin{aligned} & \underbrace{(3\, y + 2\, z)^{2}}_{a^{2}} - \underbrace{(3\, y - 2\, z)^{2}}_{b^{2}} \\ =\; & \underbrace{((3\, y + 2\, z) + (3\, y - 2\, z))}_{(a + b)}\\ &\times \underbrace{((3\, y + 2\, z) - (3\, y - 2\, z))}_{(a - b)} \\ =\; &6\, y\, (3\, y + 2\, z - 3\, y + 2\, z) \\ =\; & 24\, y \, z \end{aligned}\).

Answer:

After 1 second, the ball will reach a maximum height of 16 feet

Step-by-step explanation:

The height of the ball after t seconds: h(t) = -16t^2 + 32t

The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola

t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second

then

h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16

After 1 second, the ball will reach a maximum height of 16 feet

The amount in the bank after 9 years with an interest rate of 10 percent per year, compounded annually, is $3,128.08.

What is compound annually?

Compound annually, specifically, refers to the frequency at which interest is added to the principal. In this case, the interest is compounded once a year. At the end of each year, the interest earned is added to the principal, and subsequently, interest for the following year is calculated based on the new total. This compounding process continues annually for the specified duration.

Compound interest refers to the process of earning interest not only on the initial amount (principal) but also on the accumulated interest from previous periods. In other words, it involves reinvesting the interest earned, leading to exponential growth of the principal amount over time.

To find the amount in the bank after 9 years with annual compounding, we use the formula for compound interest:

\(A = P(1 + r/n)^(nt).\)

Given:

P = $2000,

r = 10% = 0.10,

n = 1 (compounded annually),

t = 9 years.

Plugging in these values into the formula, we get:

\(A = 2000(1 + 0.10/1)^(1*9)

= 2000(1.10)^9\)

= $3,128.08 (rounded to two decimal places).

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The lengths of the two pieces of a wire will be 19,19.

A square is a closed, two-dimensional object with four equal sides and four vertices. On either side, it has parallel sides.

The square of a square's side determines its area.

Given data -

Length of a wire = 38 m

As the wire is divided into two pieces,

Let the length of two pieces of wire be x and y m respectively.

As per given data, x + y = 38

Therefore, y = 38 - x    

As each piece is bent into a square, area of squares will be

\((x/4)^{2}\)  and  \((y/4)^{2}\)

Therefore, the sum of areas of two squares will be A = \((x/4)^{2}\) +      \((y/4)^{2}\)

A = \(x^{2}\)/16 + \(y^{2}\)/16

A = \(x^{2}\)/16 + \((38-x)^{2}\)/16

By differentiating, we will get

A' = \(\frac{2x}{16}\) - \(\frac{2(38-x)}{16}\)

In order to minimize the the sum of the areas of the two squares, we will take A' = 0

0 = x - (38 - x)

2x = 38

x = 19

Therefore y = 19

The length of two pieces of a wire should be 19 m each.

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Answer: From the degree of the polynomial, we can easily determine the zeros of a polynomial. Because the number of zeros of the polynomial expression is equal to the polynomial degree.

Answer:

∴ 5.5% is 55 m of 1 km.

___________________

Answer:

0 with 0 2 pi cot0=-10 am not sure what It is

the vector equation for the given line is r(t) = (9 + t, -8 + 6t, 5 - (1/3)t).

To find the vector equation of the given line, we use the formula r(t) = r0 + tv, where r0 is the position vector of any point on the line, v is the direction vector of the line, and t is a scalar parameter that determines the position of any other point on the line.

In this case, we are given that r0 = (9, -8, 5) and v = (1, 6, -1/3). Substituting these values into the formula, we get:

r(t) = (9, -8, 5) + t(1, 6, -1/3)

Expanding the expression by multiplying the scalar t with the vector v, we get:

r(t) = (9 + t, -8 + 6t, 5 - (1/3)t)

So the vector equation for the given line is r(t) = (9 + t, -8 + 6t, 5 - (1/3)t).

The vector equation represents all the points on the line as a function of a single parameter t. As t varies, the position vector r(t) traces out the line. The direction of the line is given by the vector v, which is parallel to the line. The point (9, -8, 5) is any point on the line, and we can use it to find the coordinates of other points on the line by adding a scalar multiple of the vector v to it.

Overall, the vector equation of a line in three-dimensional space is a powerful tool for representing lines and their properties, and it is commonly used in geometry, physics, and engineering.

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Answer:

The answer is (B. 18) and I believe this is correct because 2×18=36 & 3×18=54

(I really do hope I made it understandable and hope it helps)

Answer:

2. x = 3-7y

Step-by-step explanation:

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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The cost of design A is $1587.6.

In Plan A,

Deck Measures 18 feet by 25 feet

Garden measures 9 feet by 12 feet

Area of Garden = 12 X 9 =108 square feet

Area of Deck (in Gray) = (18 X 25) - (12 X 9) =450-108 =342 square feet

Cost of Garden =$1.40 X 108=$151.2

Cost of Deck = $4.20 X 342=$1436.4

Total Cost for Plan A= $151.2+ $1436.4 = $1587.6

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Answer:

9x =27

Step-by-step explanation:

And the solution is shown in the image I shared

The geometric solid suggested by a typical American house is:

d. Prism

A typical American house often has a rectangular base and parallel, congruent faces.

This shape is best represented by a rectangular prism.

The geometric solid suggested by a typical American house is a prism, specifically a rectangular prism.

A prism is a three-dimensional solid that has two congruent and parallel bases that are connected by a set of parallelograms.

A rectangular prism has two rectangular bases and rectangular faces that are perpendicular to the bases.

Most American houses are rectangular in shape and have a flat roof, which suggests that they are in the form of a rectangular prism.

The walls of the house form the rectangular faces of the prism, and the roof forms the top face of the prism.

The rectangular shape of the house provides a practical and functional design that allows for efficient use of interior space.

It is also an aesthetically pleasing design that has become a standard for American homes.

d. Prism.

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The block will continue to move in the positive x-direction with the same Acceleration until some other force acts on it or it hits an obstacle.

When a force of 20.0 N is applied in the positive x-direction to a block of mass 9.15 kg, at rest on a frictionless surface, the block will accelerate with an acceleration of 2.19 m/s².

This is obtained using Newton's second law of motion which t states that the force exerted on an object is equal to its mass times its acceleration.

Mathematically,

F = where: F = Force applied = Mass of the object A = Acceleration produced by the force.

Using the above equation, we can calculate the acceleration produced on the block as follows; F = ma => a = F/m Substitute the given values, a = 20 N / 9.15 kg = 2.19 m/s²

Hence, the block will accelerate in the positive x-direction with an acceleration of 2.19 m/s².An important point to note here is that the surface is frictionless.

This implies that there is no friction force opposing the motion of the block.

Therefore, the block will continue to move in the positive x-direction with the same acceleration until some other force acts on it or it hits an obstacle.

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Answer:

A. y = (x + 3)^ 2 - 1

Step-by-step explanation:

To represent the transformation of a horizontal shift left 3 and a vertical shift down 1 applied to the function y = x^2, you can use the following equation:

y = (x + 3)^2 - 1

In this equation, the term (x + 3) represents the horizontal shift left 3, and the term -1 represents the vertical shift down 1. The squared term remains the same as in the original function, y = x^2.

Answer:

Huh?

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19 (?)

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

The given function has continuous second-order partial derivatives, it means that all its first-order partial derivatives must be continuous on the domain of the function.

The given expression represents the partial derivatives of a given function. This statement is incomplete as it does not provide the partial derivatives with respect to which variable. Hence, we cannot say whether the statement is true or false. However, we can discuss the existence of a function with continuous second-order partial derivatives.There exists a function with continuous second-order partial derivatives if and only if its partial derivatives of first-order are continuous on the domain of the function. Let the function be f(x,y), where x, y ∈ ℝ. Thus, the function has the following partial derivatives:fₓ(x,y) and fₓₓ(x,y) along the x-axis.fy(x,y) and fyy(x,y) along the y-axis.fxy(x,y) and fyₓ(x,y) with respect to both variables.Since the given function has continuous second-order partial derivatives, it means that all its first-order partial derivatives must be continuous on the domain of the function.The given function is (x,y) = 1 + 2. T-order partial derivatives must be continuous on the domain of the function. Hence, the answer is that the statement is incomplete.

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The game to be fair, the player should win 60.

In order to determine the fair winnings for this game, we need to calculate the probability of winning and then set it equal to the cost of playing the game.
Step 1: Calculate the probability of winning.
There are two scenarios for winning:
1. First roll is even, and the second roll matches the first.
2. The probability of rolling an even number on a six-sided die is 3/6 or 1/2, since there are three even numbers (2, 4, and 6).
Step 2: Calculate the probability of the second roll matching the first roll.
Since there are 6 sides to the die, the probability of the second roll matching the first is 1/6.
Step 3: Calculate the combined probability of both events.
To find the combined probability of both events, multiply the probabilities: (1/2) × (1/6) = 1/12. So the probability of winning is 1/12.
Step 4: Set up an equation to determine fair winnings.
Let x be the fair winnings for the game. The cost of playing the game is $5. In order for the game to be fair, the expected value (probability of winning multiplied by the winnings) should equal the cost of playing the game:
(1/12) × x = 5
Step 5: Solve the equation for x.
To solve for x, multiply both sides of the equation by 12:
x = 5 × 12
x = 60
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Answer:

I think C

Step-by-step explanation:

The value of x is 27/13

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

⇒ x = 1/3(45-10x)

Apply the communitive property of multiplication

⇒ x = 45(1/3) - 10(1/3)x

⇒ x = 9 - (10/3)x

⇒ x + (10/3)x  = 9

⇒ (13/3)x = 9

Multiply by 3 both sides

⇒ 13x = 27

Divided by 13 both sides

⇒ x = 27/13

Hence, the value of x is 27/13

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The answer is B. 11.6 m. The approximate length of the hypotenuse is 11.6 m.

1. The displacement of the plane can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the displacement is the hypotenuse of a right triangle formed by the northward and eastward distances traveled by the airplane.

Using the given distances of 80 km north and 180 km east, we can calculate the displacement as follows:

Displacement = √(80^2 + 180^2)

Displacement = √(6400 + 32400)

Displacement = √(38800)

Displacement ≈ 196.98 km

Since we are looking for the approximate displacement, we can round it to the nearest hundred, which gives us a displacement of approximately 200 km.

Therefore, the answer is A. 200 km.

2. To find the hypotenuse of a right triangle with sides measuring 6.50 m and 9.60 m, we can use the Pythagorean theorem again.

Hypotenuse^2 = 6.50^2 + 9.60^2

Hypotenuse^2 = 42.25 + 92.16

Hypotenuse^2 ≈ 134.41

Hypotenuse ≈ √134.41

Hypotenuse ≈ 11.59 m

Rounding to the nearest tenth, the approximate length of the hypotenuse is 11.6 m.

Therefore, the answer is B. 11.6 m.

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Answer:

I believe its $1.40

Step-by-step explanation:

Answer: Credit Limit

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

3,4

Step-by-step explanation:

 5,5

- 2,1

======

3,4

Answer:

3,4

Step-by-step explanation:

you take 5,5 and subtract 2,1

Explanation

We are given a right-angled triangle with the following:

We are required to determine the missing side (i.e. the value of x).

We can achieve this by using the Pythagorean theorem as follows:

Hence, the answer is: