10% of stores inventory is on backorder. if they have are supposed to have an inventory of 1000 bikes, how many bickes are on backorder?

t is the number of years since the initial count of 5,400 birds is \(N(t) = 5,400 * e^{(-0.03*t)}\)

A function is a rule that assigns to each input value, or argument, a unique output value. The input values are typically drawn from a set called the domain of the function, while the output values are typically drawn from a set called the range of the function.

Functions are often represented using algebraic expressions, such as.

by the question.

Let's call the initial number of birds "N" and the percentage decrease per year "r". The formula for exponential decay is:

\(N(t) = N₀ * e^{(-r*t2)}\)

where:

N(t) is the number of birds at time t.

N₀ is the initial number of birds.

e is the mathematical constant e (approximately 2.71828)

r is the annual decay rate (as a decimal)

t is the time elapsed (in years)

In this case, N₀ = 5,400 and r = 0.03 (since the birds are decreasing by 3% per year).

So, the exponential function that models this situation is:

\(N(t) = 5,400 * e^{(-0.03*t)}\)

\(N(t) = 5,400 * e^{(-0.03*t)}\)

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Answer:

Step-by-step explanation:

10 is linear

This one is linear because a linear relationship moves at a constant rate

The table shows that y is moving at a constant rate of +3

11 is neither

This relationship is neither because its not moving at a constant rate and neither is it exponential

Given:

The endpoints of a line segment are F(-8, 10) and G(8, -2).

Point K partitions the segment, starting at point F \(\dfrac{3}{4}\) of the way to point G.

To find:

The coordinates of point K.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of that point are

\(Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)\)

According to the given information,

\(\dfrac{FK}{FG}=\dfrac{3}{4}\)

\(FK:FG=3:4\)

Now,

\(FK:KG=FK:(FG-FK)\)

\(FK:KG=3:(4-3)\)

\(FK:KG=3:1\)

It means point K divides the segment in 3:1.

Using the section formula, we get

\(K=\left(\dfrac{3(8)+1(-8)}{3+1},\dfrac{3(-2)+1(10)}{3+1}\right)\)

\(K=\left(\dfrac{24-8}{4},\dfrac{-6+10}{4}\right)\)

\(K=\left(\dfrac{16}{4},\dfrac{4}{4}\right)\)

\(K=\left(4,1\right)\)

Therefore, the coordinates of the point K are (4,1).

Answer:

1 kilometer east

Step-by-step explanation:

if you subtract 2 from 3 you get one, plus it's east with the bigger number, so that's why it's one kilometer east

The displacement from his starting point at home is 1 km.

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

A man drives 3 km east from home to the store and then 2 km west to a friend’s house.

The term "displacement" refers to a shift in an object's location. It is a vector quantity with a magnitude and direction.

The displacement from his starting point at home is calculated as,

Displacement = 3 - 2

Displacement = 1

The displacement from his starting point at home is 1 km.

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YEETTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT I FEEL BAD BUT

Answer:

15x+3

15x=-3

15x÷15=-3÷15

×=-5

Answer:

(3x+1)(3x+1)

Step-by-step explanation:

Ape-x

Answer:

The answer is 76.97

Step-by-step explanation:

The formula that I used

V=πr^2h

Volume = π·3.52·2 ≈ 76.96902

Answer:76.93

Step-by-step explanation:

Answer:

NOT linear

Step-by-step explanation:

Your equation is:

y = x^2 - x

Since the y has no exponent, (which is a power of 1) and the x has an exponent of 2, this function is a parabola. It is not linear. (Linear functions have a graph that is a line)

Functions that are NOT linear have exponents greater than 1, or variables in the denominator, or, variables inside a radical.

Answer:

x = 50°, y = z = 40°

Step-by-step explanation:

x = 50° ( Alternate angle )

z = 180° - (110 + 30)° = 180° - 140° = 40° ( sum of angles in Δ )

y = z = 40° ( Alternate angles )

The direct variation equation to represent the relationship between the number of tickets and the cost of the ticket is y = 8x.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

56, 48, 40, 32, 24, 16, 8, 0, y

7, 6, 5, 4, 3, 2, 1, 0, x

Here, x is the number of tickets and y is the cost of the ticket

As you can see that the cost of each ticket is $8,

Then the equation will be,

y = 8x

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Ollie catches the ball 7.5 seconds later.

To determine how much later Ollie caught the ball, we need to find the time it takes for the ball to reach a height of 0. Since Ollie catches the ball when it reaches the ground, the height h will be 0.

Given the formula h = -16t^2 + vt, where h is the height, t is the time, and v is the initial vertical speed, we can substitute the given values:

0 = -16t^2 + 120t

To solve for t, we can rearrange the equation and factor out a common factor of t:

16t^2 - 120t = 0

16t(t - 7.5) = 0

From this quadratic equation, we can see that t = 0 or t = 7.5. Since t = 0 represents the initial time when the ball is hit, we can ignore it in this case.Therefore, Ollie catches the ball 7.5 seconds later.

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The graph shown in option (B) represents the solution to the inequality y<1/2x-4

A relation between two mathematical expressions which are not equal is known as inequality.

The inequality symbol is "<" (less than).

So, the line of the graph should be dashed and shaded below the line.

Comparing the graphs given in the question, we can conclude that option (B) is correct.

Hence, the graph in option (B) represents the solution to inequality y<1/2x-4.

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Answer:

B aka y<1/2x-4

Step-by-step explanation:

I did this before

x ≈ 12.11

\(a=\sqrt{c^{2} - b^{2} }\)

\(a=\sqrt{13.3^{2} - 5.5^{2} }\)

\(a=\sqrt{176.89 -30.25 }\)

12.11

the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

The claim and the null hypothesis are the same when the claim being made is that there is no significant difference or relationship between variables or that there is no effect or impact of a particular factor. In other words, the claim asserts that the null hypothesis is true.

For example, if the null hypothesis (H₀) states that there is no difference between the means of two groups, the corresponding claim would be that the means are indeed equal. Similarly, if the null hypothesis states that there is no correlation between two variables, the claim would be that there is indeed no significant correlation.

In such cases, the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

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Answer:

  4x^2 +12x +44 remainder 161x +84

Step-by-step explanation:

At each step, the quotient term is the ratio of the leading dividend term to the leading divisor term. The first quotient term, for example, is ...

  (4x^4)/(x^2) = 4x^2

The quotient term found this way is multiplied by the divisor and subtracted from the dividend. The difference is the new dividend and the process repeats.

You're done when the degree of the dividend is less than the degree of the divisor. This remainder can be expressed as a fraction with the divisor as the denominator.

  \(\dfrac{4x^4+5x-4}{x^2-3x-2}=4x^2+12x+44+\dfrac{161x+84}{x^2-3x-2}\)

[1] Complementary means the angles will add up to 90 degrees

 () Blank one is BOC

 () Blank two is 90

 () Reason blank I am unsure as I do not know the wording that is being looked for, but it is either "given," "complementary angles" or something similar

[2] Since AOC is equal too BOC + 30, we can decide the following is true

 () First blank is BOC

 () Second blank is 30

[3] 30°

 () BOC + BOC + 30 = 90 [Given]

    2(BOC) = 60 [Subtract 30 from both sides & combine like terms]

    BOC = 30 [Divide by 2]

[4] 60°

 () 90 - 30 = 60

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Integers 1, 3, 5, 9, 11, and 13 have an inverse modulo 14. The inverses are 1, 5, 3, 11, 9, and 13, respectively.

An integer a has an inverse modulo n if there exists an integer b such that (a * b) ≡ 1 (mod n). In other words, a and n are coprime, meaning they share no common factors other than 1.

In this case, we are looking for the integers a where 1 ≤ a ≤ 14 that have an inverse modulo 14. We can check which integers are coprime to 14 by finding their greatest common divisor (GCD) with 14. If the GCD is 1, then the integer has an inverse modulo 14.

The integers that are coprime to 14 are 1, 3, 5, 9, 11, and 13. For each of these integers, we can find their inverses using the extended Euclidean algorithm. The inverse of an integer a modulo n can be found by applying the extended Euclidean algorithm to find the Bezout's identity coefficients (s, t) such that (a * s) + (n * t) = 1. The inverse of a modulo n is the coefficient s.

For example, to find the inverse of 3 modulo 14, we apply the extended Euclidean algorithm and find that (-5 * 3) + (14 * 1) = 1. Therefore, the inverse of 3 modulo 14 is -5, or equivalently, 9.

By applying the extended Euclidean algorithm to each of the integers 1, 3, 5, 9, 11, and 13 modulo 14, we can find their respective inverses modulo 14.

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The reliability of the given system is 0.4033.

To calculate the reliability of a system, we need to multiply the reliability values of all the components in the system. In this case, we have a system composed of three components with the following reliability values:

Component 1: 0.90

Component 2: 0.90 0.90 0.85

Component 3: 0.85 0.85 0.92

To find the overall system reliability, we multiply these values together:

System reliability = Component 1 reliability x Component 2 reliability x Component 3 reliability

System reliability = 0.90 x (0.90 x 0.90 x 0.85) x (0.85 x 0.85 *x 0.92)

System reliability ≈ 0.90 x 0.6831 x 0.6528 ≈ 0.4033

Therefore, the reliability of the given system is 0.4033.

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Answer:

A: -3

Step-by-step explanation:

I got it right on my quiz!

If  equation of the graphed line is 2x – y = –6 then the x-intercept of the graph is -3.

To find the x-intercept of the graph, we need to determine the x-coordinate where the line intersects the x-axis.

At the x-intercept, the y-coordinate is zero.

Given the equation of the line as 2x - y = -6.

we can substitute y = 0 since it is the y-coordinate at the x-intercept.

2x - 0 = -6

2x = -6

Divide both sides by 2:

x = -6/2

x = -3

Therefore, the x-intercept of the graph is -3.

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Since both the input and the output assume only integer values, the function is classified as discrete.

In this problem, all values on the table assume only integer values, hence the function is classified as discrete.

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Answer:

Step-by-step explanation:

dddfykb

y=16

1) Let's rearrange the equation x + 4y = 64 into the slope-intercept form.

x + 4y = 64

4y = 64 - x

y= -x/4 +16

Since the linear coefficient "b" points where the line intercepts the y-axis. Then we can state that in this equation the graph intercepts the y-axis at (0,16).

If we plug into the equation the coordinate point (0,16). We'll find it.

Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.

Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.

The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:

we should expect there to be multicollinearity between them.

Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.

Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

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Answer:

sorry but I can understand

Answer:

n-23

Step-by-step explanation:

To find the variance of 7X - 5Y, we need to first find the variance of 7X and 5Y separately, and then subtract twice the covariance of X and Y (since we are given the covariance, not the correlation coefficient). The variance of 7X - 5Y is 1024.

Var[7X] = 49Var[X] = 49(16) = 784
Var[5Y] = 25Var[Y] = 25(4) = 100
Cov[X,Y] = 2

Now, using the formula for variance of a linear combination of two random variables:

Var[7X - 5Y] = Var[7X] + Var[5Y] - 2Cov[X,Y]
            = 784 + 100 - 2(2)
            = 880

Therefore, the variance of 7X - 5Y is approximately 880 (rounded to the nearest whole number).

Suppose the population standard deviation of X is 4 and the population standard deviation of Y is 2, and the covariance of X and Y is 2. To find the variance of 7X - 5Y, we use the formula Var[aX ± bY] = a²Var[X] + b²Var[Y] ± 2abCov[X,Y]. In this case, a = 7, b = -5, Var[X] = 4², Var[Y] = 2², and Cov[X,Y] = 2.

Var[7X - 5Y] = 7²(4²) + (-5)²(2²) - 2(7)(-5)(2)
Var[7X - 5Y] = 49(16) + 25(4) + 140
Var[7X - 5Y] = 784 + 100 + 140
Var[7X - 5Y] = 1024

So the variance of 7X - 5Y is 1024.

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