Trace is at school and wants to send his homing piaeon home for his forgotten Geometry homework. If the coordinates for his home are (-5,5) and his school is at (-1,2), what is the length of his pigeon's flight directly to the house?
Answer: Length= ____ units​

Answer:

100

Step-by-step explanation:

Given:

Tn = 2n

Where,

n = nth term

what will be its 50th term?

Tn = 2n

T(50) = 2(50)

= 100

T(50) = 100

Therefore,

The 50th term = 100

The value of the variable "a" will be 10. Thus, the correct option is C.

Given that:

Equation, \(\dfrac{3}{5} = \dfrac{a + 5}{25}\)

The largest exponent of the variable in a linear equation, which has a degree of 1, is 1. The values of the variable that make a linear equation true are known as solutions, and they may be discovered in a number of ways, including through substitution or by utilizing the slope-intercept form.

Fundamental to algebra, linear systems of equations are used in physics, economics, and engineering, among other disciplines.

Simplify the equation, then we have
\(\dfrac{3}{5} = \dfrac{a + 5}{25}\\\\15 = a +5\\\\a = 10\)

The value of 'a' is 10.

Thus, the correct option is C.

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The complete question is attached below:

Answer:

30+4x=y

or 30 + 4 times the amount of months equals the total cost

Answer:

y=4x+30

Step-by-step explanation:

Hope this helps!

if not I'm sorry.

Answer:

A

Step-by-step explanation:

f(x) = (x + 3)(x + 2)(x - 3)

The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18

So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2

which is what you were given.

Now to get the answer

(x - 3)(x + 3) = x^2 - 9

(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)

Answer:

n = 6

Step-by-step explanation:

\( \frac{ {5}^{n} \times {5}^{3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: \frac{ {5}^{n + 3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: {5}^{n + 3 - 7} = {5}^{2} \\ \\ \implies \: {5}^{n - 4} = {5}^{2} \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6\)

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's solve ~

\(\qquad \sf  \dashrightarrow \: \frac{5 {}^{n} \times {5}^{3} }{5 {}^{7} } = {5}^{2} \)

\(\qquad \sf  \dashrightarrow \: \frac{5 {}^{n + 3} {}^{} }{5 {}^{7} } = {5}^{2} \)

\(\qquad \sf  \dashrightarrow \:5 {}^{n + 3 - 7} = {5}^{2} \)

\(\qquad \sf  \dashrightarrow \:5 {}^{n - 4} = {5}^{2} \)

\(\qquad \sf  \dashrightarrow \:{}{n - 4} = {2} \)

\(\qquad \sf  \dashrightarrow \:n = 2 + 4\)

\(\qquad \sf  \dashrightarrow \:n = 6\)

Hence, value of n is 6

64

80               80

thats how you havw to put it

Answer:

80/100 is 80%

Step-by-step explanation:

Answer:

80,023,904

Step-by-step explanation:

Just add all the numbers together.

Answer:

"8023904

Step-by-step explanation:

20 000 + 8 000 000=8020000

4+3000=3004

3004+900=3904

3904+ "8023904"

The ATI Capstone Comprehensive Assessment evaluation normally comprises of multiple-choice questions, with 90 to 130 possible answers. Certain versions may also include extra alternative questions kinds, such as fill-in-the-blank or select-all-that-apply

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The given two-way Frequency table, there are 33 left-handed students who are not in the music program.

The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.

From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.

the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.

Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program

Number of left-handed students not in the music program = 48 - 15

Calculating this, we find that the number of left-handed students not in the music program is 33.

Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.

In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.

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It takes approximately 86.67 hours for Alex, Bethany, and Carol to collectively finish a total of 26 miles. This is determined by calculating the harmonic mean of their individual running speeds.

To determine how many hours it takes for Alex, Bethany, and Carol to collectively run a total of 26 miles, we need to consider their individual running speeds. Alex runs at a rate of 26 miles in 6 hours, Bethany runs at a rate of 26 miles in 5 hours, and Carol runs at a rate of 26 miles in 4 hours.

To find the total time it takes for them to finish 26 miles together, we can calculate the harmonic mean of their individual running speeds. The harmonic mean is used because it accounts for the different rates at which they run.

The formula for the harmonic mean is given by:

Harmonic Mean = Total Distance / (1 / Speed1 + 1 / Speed2 + 1 / Speed3)

Substituting the values, we have:

Harmonic Mean = 26 / (1 / 6 + 1 / 5 + 1 / 4)

To simplify the equation, we find the common denominator:

Harmonic Mean = 26 / ((5 + 6 + 7) / 60)

Harmonic Mean = 26 / (18 / 60)

Harmonic Mean = 26 / (3 / 10)

Harmonic Mean = 26 * (10 / 3)

Harmonic Mean ≈ 86.67

Therefore, it takes approximately 86.67 hours for Alex, Bethany, and Carol to collectively finish a total of 26 miles.

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The value of x is 67°.

To determine the value of x,

Draw a line parallel to lines l and m passing through the vertex at angle x dividing it into two angles a and b.

∠a  = 35°   (Interior Alternate angles are congruent)

∠b + 148°  = 180°  (Co-Interior angles are supplementary)

⇒ ∠b = 32°

∠x  = ∠a + ∠b

⇒ ∠x  = 35° + 32°

⇒ ∠x = 67°

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When the weight moves from x = -8 cm to x = 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

Given: Displacement x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. To find: What is the spring?Explanation:We know that displacement is given by x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0.Comparing this with the standard equation, x

= Acos(ωt+ φ)A

= amplitude

= 8 cmω

= angular frequencyφ

= phase angleWhen the spring is at equilibrium position, the weight attached to the spring does not move. Hence, no force is acting on the weight at the equilibrium position. Therefore, the spring is neither stretched nor compressed at the equilibrium position.Now, the spring is set in motion resulting in a displacement of x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. The maximum displacement of the spring is 8 cm in the positive x direction. When the weight is at x

= 8 cm, the restoring force of the spring is maximum in the negative x direction and it pulls the weight towards the equilibrium position. At the equilibrium position, the weight momentarily stops. When the weight moves from x

= 8 cm to x

= -8 cm, the spring moves from its natural length to its maximum stretched position. At x

= -8 cm, the weight momentarily stops. When the weight moves from x

= -8 cm to x

= 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

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The displacement of the weight attached to the spring is given by the equation x = 8 cos t. The amplitude of the motion is 8 centimeters and the period is 2π seconds.

The equation x = 8 cos t represents the displacement of a weight attached to a spring in simple harmonic motion. In this equation, x is measured in centimeters and t is measured in seconds.

The amplitude of the motion is 8 centimeters, which means that the weight oscillates between x = 8 and x = -8.

The period of the motion can be determined from the equation T = 2π/ω, where ω is the angular frequency. In this case, ω = 1, so the period T is 2π seconds.

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Answer:

Yes

Step-by-step explanation:

One input to one output is a linear one-to-one function.

Answer:

yes they are pretty linear

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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Since the events A and B are equal, the probability P(A and B) is the same P(A).

The outcomes that are greater than or equal 6 are 6 and 7, and the probability of each one is: P(6) = 0.14 and P(7) = 0.13

So we have that:

The probability that X is less than or equal to 48 is approximately 0.023.

To use the normal approximation, we first need to check if the conditions are met:

1. The sample size is large enough: n*p = 93*0.48 = 44.64 and n*(1-p) = 93*0.52 = 48.36, both greater than 10.

2. The observations are independent: we assume that the sample is random and that the sample size is less than 10% of the population size.

Given these conditions, we can use the normal distribution to approximate the binomial distribution.

We standardize X using the formula:

z = \((X - n*p) / \sqrt{(n*p*(1-p)) }\)

Substituting the values, we get:

z = (48 - 93*0.48) / sqrt(93*0.48*0.52) = -1.99

Using a standard normal distribution table or calculator, we can find the probability:

P(X ≤ 48) ≈ P(z ≤ -1.99) = 0.023

Therefore, the probability that X is less than or equal to 48 is approximately 0.023.

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The coordinates of the other endpoint is (-7, -2).

Points on two-dimensional (2D) or three-dimensional (3D) surfaces are uniquely identified by numbered coordinates, which are distances or angles. Numerous distinct coordinate systems are regularly used by mathematicians, scientists, and engineers.

a group of variables that accurately depict a stance. The first number on a graph represents the distance along, while the second number represents the distance up or down. For instance, the point (12,5) is located 12 units down and 5 units up.

The midpoint of two coordinates is given by \((\frac{x_{1} -x_{2} }{2}, \frac{y_{1} -y_{2} }{2})\)

Hence the correct option is option (A), i.e. (-7, -2).

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Answer:

1/10, Unlikely

Step-by-step explanation:

Aria will have a 1/10 chance if she buys 10 tickets, you can use Process of Elimination because it's not likely, it's not certain, and nor is it equal.

The word 'unlikely' describes the probability that she will win the raffle if she buys 10 tickets.

What is probability?

Probability is the chance of happening something. It indicates that an incident is likely or unlikely to be happen.

Here, Aria's school is selling 100 tickets.

If Aria buys 10 tickets, then she will have the probability of 10/100 = 1/10 to win the grand-prize. That is unlikely to be happen.

Therefore, the word 'unlikely' describes the probability that she will win the raffle if she buys 10 tickets.

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Let A be a matrix with linearly independent columns. None of the above statements is not true. So the option G is correct.

In mathematics, a matrix can be thought of as a rectangular array of numbers, symbols, or expressions. Matrices are commonly used in linear algebra, which is the study of mathematical operations involving vectors and matrices.

Matrices are used to represent linear equations, and they can be used to describe transformations such as rotations and reflections. Matrices can also be used to represent graph theory data, and to represent systems of equations.

A matrix with linearly independent columns is one in which each column is not a linear combination of the other columns. In other words, the columns are all independent from each other and cannot be expressed as a linear combination of the other columns. This means that the columns are all different and no two columns are the same.

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Answer:

5,4

Step-by-step explanation:

Answer: 5 and 4

Step-by-step explanation:

So, 5 + 4 = 9

and 5 x 4 = 20

Im glad I helped =)

Answer:

10.6 minutes.........

To find the angle θ in a right triangle when sin θ is given as 0.365, we can use the inverse sine function (sin⁻¹) on a calculator.
sin⁻¹(0.365) = 21.61° (rounded to two decimal places)
Therefore, the angle θ is approximately 21.61°.

It's important to note that there can be two angles that have the same sine value in a unit circle, but since we are dealing with a right triangle, only one angle is possible. In this case, the sine of an acute angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse.
We can use this ratio to solve for the missing sides of the triangle. For example, if the hypotenuse is 1, then the opposite side is 0.365 and the adjacent side is √(1 - 0.365²) = 0.930.
In summary, when sin θ is given in a right triangle, we can use the inverse sine function to find the angle and then use trigonometric ratios to solve for the missing sides.

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Answer:

8.63 square units

Step-by-step explanation:

you must set up a proportion.

3 x

- = -

8 23

after you set up that proportion, cross multiply to find x.

8x = 69

divide by 8

x = 8.625, rounded to 8.63

Therefore , the solution of the given problem of triangle comes out to be triangle C has the largest area 4.5 square unit.

Because a triangular has two or more extra parts, it is a polygon. It's shape is a simple rectangular. The only three edges that distinguish a triangle from just a triangle are A, B, and C. A singular area rather than a cube is produced by Euclidean geometry when the edges are not perfectly collinear. A shape is referred to as triangular if it has three sides and three angles. An angle is the point where a quadrilateral's three sides meet. A triangle's sides add up to 180 degrees.

Here,

The largest triangle ,

area wise is:

Triangle C area is:

=> 1/2 *  b * h

=> 1/2 * 3*3

=> 9/2

=> 4.5 square unit

which is the largest area as all the other triangles have 4 square unit area.

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Answer:

Discontinuity at (1, 7), zero at (-4/3 , 0)

Step-by-step explanation:

\(3x^{2} + x - 4\) = (3x + 4)(x - 1) = 0

                        x = -4/3   or 1

But x = 1 makes f(x) undefined, so there is discontinuity at x = 1

and there is a zero at x = -4/3.

3x + 4 = 3(1) + 4 = 3 + 4 = 7

If you were to graph this function, then you would get the line y = 3x + 4 with a hole at (1, 7).   The line would cross the x-axis at (-4/3, 0) with discontinuity at (1, 7)

The statement \(xbar1-xbar2\) is the point estimate of the difference between the two population means" is true.

The statement\("xbar1-xbar2\) is the point estimate of the difference between the two population means" is true.

What is the Point estimate?

A point estimate is a solitary number or worth utilized as a gauge of a populace trademark.

A point estimate of a populace attribute is the most probable estimation of the populace trait dependent on a random sample of the populace.

The point estimate of the difference between the two population means is \(xbar1-xbar2.\)

This is valid when comparing two means from two separate populations.

Therefore, the statement \("xbar1-xbar2\)  is the point estimate of the difference between the two population means" is true.

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Answer:

Step-by-step explanation:

25, i think

A regression model can only predict values that are lower or higher than the actual value. As a result, the only way to determine the model's accuracy is through residuals.

What is regression ?

Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).

The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS).

Based on a line of best fit, linear regression determines the linear relationship between two variables.

The slope of a straight line used to represent linear regression thus indicates how changing one variable affects changing another..

In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept. Regression without linearity.

Hence, A regression model can only predict values that are lower or higher than the actual value.

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