Island Kure Midway Necker Kauai Distance from Kilauea (km) 2600 2550 1000 600 350 Age 31 25 12 5 3 A. Calculate the average rate of plate motion since Kure Island formed in cm/yr. B. Calculate the average rate of plate motion since Kauai formed in cm/yr. + C. Has the Pacific plate been moving faster than, slower than, or at the same rate during the last 5 my, as it did over the last 26 m.y.? D. Using the total average rate since Kure Island formed, how far will the Pacific Plate move in 50 years? E. The trajectory of the Pacific Plate currently points toward Japan, approx. 6500 km away. If the "Pacific Plate Express" operates without change, how long will it take for the Big Island of Hawaii to reach the subduction zone off Japan?

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. then the values of the number is x = 1/2 and -4/3

The product of 6 and the square of a number

Consider the number as x

Then the product of 6 and the square of a number = \(6x^2\)

The product of 6 and the square of a number is increased by 5 times the number, the result is 4

Then the equation will be

\(6x^2\) + 5x = 4

Move 4 to the left hand side of the equation

\(6x^2\) + 5x - 4 = 0

We have to solve the quadratic equation

Split the middle terms

\(6x^2\) + 8x - 3x -4 = 0

2x(3x+4) -1(3x+4) = 0

(2x-1)(3x+4)= 0

Then the value of x will be

2x- 1 = 0

2x = 1

x = 1/2

Similarly

3x+4 = 0

3x = -4

x = -4/3

Hence, when the product of 6 and the square of a number is increased by 5 times the number, the result is 4. then the values of the number is x = 1/2 and -4/3

Learn more about quadratic equation here

brainly.com/question/1863222

#SPJ1

A) On average, it takes 0.5 hours (30 minutes) from the moment a car comes for an oil change until they can pick it up.

B) On average, it takes 6.75 hours from the moment a car comes for a major repair until they can pick it up.

C) The expected number of cars in the shop at any given time is 10.44.

On average, it takes 0.5 hours (30 minutes) from the moment a car comes for an oil change until they can pick it up. This includes the time spent by the mechanic performing the oil change. The Poisson process with an average arrival rate of 26 clients in a 12-hour workday allows us to estimate this waiting time. Efficiently completing oil changes in a timely manner is crucial for customer satisfaction and the smooth operation of the car repair shop.

On average, it takes 6.75 hours from the moment a car comes for a major repair until they can pick it up. This accounts for the time spent by the four mechanics working on major repairs, which follows an exponential distribution with an average repair time of 6 hours. Understanding the average waiting time for major repairs helps the car repair shop manage customer expectations and plan their resources effectively.

The expected number of cars in the shop at any given time is 10.44. This takes into account the arrival rate of clients for oil changes and major repairs, as well as the average service times for each type of service. The MMk queuing model allows us to estimate the expected number of cars in the system. This information helps the car repair shop allocate sufficient resources, such as mechanics and workstations, to ensure smooth operations and minimize customer wait times.

Learn more about car

brainly.com/question/31448756

#SPJ11

Answer:

27 children

Step-by-step explanation:

I hope this helps and good luck love! :)

Answer:

y-intercept = 3

Step-by-step explanation:

value that's on the y - axis

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

For more such questions on triangles, click on:

https://brainly.com/question/17335144

#SPJ8

The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

Learn more about EDD here: brainly.com/question/30397523

#SPJ11

Answer:

B) 15

Step-by-step explanation:

Area= length x width x 1/2

6 x 5= 30

30x1/2= 15

1/0 is undefined but not infinity.

In mathematics, expressions like 1/0 are undefined. But the limit of the expression 1/x as x tends to zero is infinity.

                          i.e limx→0 1/x = infinity

Similarly, expressions like 0/0 are undefined. But the limit of some expressions may take such forms when the variable takes a certain value and these are called indeterminate. limit tends to some value of x varies with the expression so as there is limit of some value i.e x but not a particular limit 0f 1/x as x tends to zero is infinity. But 1/0 is not infinity and 0/0 is not indeterminate, since division by zero is not defined.

Learn more about infinity and undefined expressions here:

https://brainly.com/question/25721021

#SPJ4

The complete question is:

Is 1/0  infinty or undefined?

Answer:

h = -8

Step-by-step explanation:

-2(3 + 7h) + 2 = 108

-2 * 3 + -2 * 7h + 2 = 108

combine like terms

-6 - 14h + 2 = 108

-4 - 14h = 108

add 4 to both sides of the equation

-4 + 4 - 14h = 108 + 4

-14h = 108 + 4

-14h = 112

divide both sides of the equation by -14

-14h/-14 = 112/-14

h = 112/-14

h = -8

Answer:

2.3

Step-by-step explanation:

We have a triangle with angles: 66 deg, 57 deg and (3x+21).

We have to solve for x.

We know that the sum of the interior angles of a triangles is 180 degrees.

Then, we can write and solve for x as:

The value of x is 12.

Answer: A) 12

Using the formula;

H= ut + 1/2 gt²

The initial velocity = 0

Hence H= 1/2 gt²

g= 10m/s t= 5.78 s

H = 1/2 x 10 x 5.78²

H = 167.042 m

H = 167 m approximately

A pencil consists of a cylindrical body (10 cm long, radius 0.3 cm) with a cone-shaped eraser (1 cm slant height) and a hemisphere-shaped eraser.

A pencil consists of three main parts: a cylindrical body, a cone-shaped eraser, and a hemisphere-shaped eraser. Let's break down the dimensions of each part:

Cylindrical Body:

Length: 10 cm

Radius: 0.3 cm

Cone-shaped Eraser:

Slant height: 1 cm (assumed height of the cone)

Hemisphere-shaped Eraser:

Since the dimensions of the hemisphere-shaped eraser are not specified in detail, we'll assume a few things:

Let's assume that the hemisphere is attached to the cone in such a way that the flat surface of the hemisphere is aligned with the circular base of the cone.

We'll assume that the radius of the hemisphere is the same as the radius of the cylindrical body, which is 0.3 cm.

Please note that the actual dimensions of a pencil can vary, and these assumptions are made for the purpose of explanation.

It's worth mentioning that the cylindrical body of the pencil is the main part used for writing, while the cone-shaped and hemisphere-shaped erasers are located at the opposite end of the pencil, typically used for erasing mistakes.

for such more question on radius

https://brainly.com/question/13689629

#SPJ8

Answer:

Tax: $23.95

Total: $502.95

Explanation:

The tax that you have to pay is equal to 5% of $479. So, we can calculate the tax as follows:

So, you need to pay $23.95 for tax.

Then, in total, you pay the initial cost plus the sales tax, so:

$479 + $23.95 = $502.95

Therefore, the answers are $23.95 for tax and $502.95 in total.

A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."

In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.

To know more about binary tree,

https://brainly.com/question/33461694

#SPJ11

The monthly income of the government service holder is Rs. 12000

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Given that: Rs. 85000 was exempted in the yearly income of a government service holder. If he paid tax Rs. 8850 in a year at the rate of 15%.

Let P represent the yearly income. We can write that:

15% (P - 85000) = 8850

0.15(P - 85000) = 8850

0.15P - 12750 = 8850

0.15P = 8850 + 12750

0.15P = 21600

P = 21600/0.15

P = 144000

So the yearly income is  Rs. 144000

Thus, the monthly income will be:

Rs. 144000 / 12 = Rs. 12000

Learn more about word problems on:

brainly.com/question/1781657

#SPJ1

As given by the question , so here the vertical and horizontal asymptotes are at x = -12 and y = 1.5.

On a function graph, a vertical asymptote represents the point at which the function is undefined. Take the formula f(x) = 1/x as an illustration. This function's graph exhibits a vertical asymptote at x = 0 since the function is undefined at this value (division by 0 is undefined).

A function's horizontal asymptote is a horizontal line on the function graph that the function approaches as the input (x-value) increases or decreases dramatically. Consider the function f(x) = x2 as an illustration. Because the y-values of the function do not converge to a fixed value as x grows very big, the graph of this function lacks a horizontal asymptote.

We must identify the values of x at which the function is undefined in order to determine the vertical asymptotes of the function 3x/(2x+24).So, to find the vertical asymptotes of the function, we need to solve the equation 2x + 24 = 0 for x. so x = -12.

Similarly, To find the horizontal asymptote in case of equal degrees of numerator and denominator i.e 1 in this case, we need to take the ratio of the first coefficients of numerator and denominator respectively which is 3/2 = 1.5.

To learn more about asymptotes visit:

brainly.com/question/12579013

#SPJ4

The measure of the line segment AB is  36cm .

In the question ,

it is given that ,

The triangle ABC is a isosceles triangle ,

that means side AB = side BC ,

and the length of base AC = 24 cm .

given the perimeter of the triangle is 96 cm .

So ,

AB + BC + AC = 96

AB + AB + AC = 96       .....because AB = BC

2AB + AC = 96

Substituting the value of AC = 24 cm

2AB + 24 = 96

Subtracting 24 from both the sides , we get

2AB = 96 - 24

2AB = 72

Dividing both sides by 2 ,

we get ,

AB = 72/2 = 36 .

Therefore , The measure of the line segment AB is  36cm .

The given question is incomplete , the complete question is

Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is Line segment A C and measures 24 centimeters.

What is the measure of Line segment AB ?

Learn more about Triangle here

https://brainly.com/question/13938498

#SPJ4

Answer:

C

Step-by-step explanation:

To convert from point-slope form to slope-intercept form, we can simplify and isolate the y.

We have the equation:

\(\displaystyle y-3=\frac{1}{2}(x-1)\)

Distribute the right-hand side:

\(\displaystyle y-3=\frac{1}{2}x-\frac{1}{2}\)

Add 3 to both sides:

\(\begin{aligned} \displaystyle y&=\frac{1}{2}x-\frac{1}{2}+3\\\\&=\frac{1}{2}x-\frac{1}{2}+\frac{6}{2}\\\\&=\frac{1}{2}x+\frac{5}{2}\end{aligned}\)

Our answer is C.

Here is the proof:

1. Length AB = Length DC

2. Angle BAC = Angle ACD (AB is parallel to CD, so the opposite interior angles are equal)

3. AC length = AC length (2 lines coincide)

Principle of Side - Angle - Side

then the two triangles are said to be congruent

So Length BC = Length DA

Congruence is a condition where two flat shapes have the same size and are said to be congruent.

The characteristics of two triangles that are said to be congruent are:

1. When the pairs of corresponding sides are equal in length. Usually called the side-by-side criterion.

2. Two pairs of corresponding sides are equal in length and the angles between them are equal. Commonly referred to as the side-angle-side criterion.

3. Two pairs of congruent angles and the same side lengths. Also known as angle-side-angle

To find the interval of convergence, you can use a number of methods, including the ratio test, root test, and using the endpoints of the interval to estimate the radius of convergence.

Interval of convergence is an important concept in mathematics, particularly in the study of power series. It refers to the range of values for which a given series will converge (approach a finite limit) as the number of terms increases.

It's important to note that the interval of convergence is not always obvious, and sometimes more advanced techniques may be needed to determine it accurately.

The interval of convergence is critical in mathematical analysis as it helps to understand the behavior of a series and its properties.

Understanding the interval of convergence is also essential when working with mathematical models, as it can determine the validity and usefulness of the model in certain situations.

In conclusion, the interval of convergence is a key concept in mathematics that determines the range of values for which a given series will converge.

To find the interval of convergence, multiple methods can be used including ratio test, root test and by using endpoints to estimate the radius of convergence.

to know more about convergance refer here

https://brainly.com/question/29258536#

#SPJ11

Answer:

for soln 1: X < -2; for soln 2: X < 1

Step-by-step explanation:

This is two set problem involving inequality. Therefore, you have to solve for each side of the inequality to know the values of X for each sides.

1 < X + 3 < 4

Soln 1. solve for the first side of the inequality

1 < X + 3

1 - 3 < X

-2 < X

X > -2

soln 2: solve for the second side of the inequality

X +3 < 4

X < 4 - 3

X < 1

Therefore, X > -2; X < 1

Answer:

3/5=w

Step-by-step explanation:

the 2 onthe numerator and the 2 on the denominator cancel each other out leaving w byitself.

Answer:

16/5

Step-by-step explanation:

10x3/5=10x w-2/2

The probability distribution of X when X~B(1,1/25) is (Option A)

See the explanation below.

Given X~B(n,p)

P(x=1) = C¹ₙ * P¹ * (1-P)ⁿ⁻¹ (n≥1)

Thus, X~B [1, 1/25]

1/25 = 0.04

hence, p(x=0)

= C⁰₁ * 0.04⁰ (1 - 0.04)¹

= 0.96

P (x=1)

=  C¹₁ 0.04¹ (1-0.04)⁰

= 0.04

Learn more about probability at;
https://brainly.com/question/28016002
#SPJ1

The correct points are (1, 2) and (0,1).

To find the points that lie in the inverse of the graph of a function g(x), we need to swap the x and y values of the original graph.

Let's start by representing the original graph of g(x):

x | g(x)

-1 | 0.5

0 | 1

1 | 2

2 | 4

3 | 8

Now, we swap the x and y values:

y | x

0.5 | -1

1 | 0

2 | 1

4 | 2

8 | 3

These are the corresponding points for the inverse function.

So, the points that lie in the inverse of the graph of g(x) are:

(-1, 0.5), (0, 1), (1, 2), (2, 4), (3, 8).

Hence the correct points are (1, 2) and (0,1).

Learn more about inverse function click;

https://brainly.com/question/29141206

#SPJ1

The solution is (-1, 1). The solution has been obtained using linear equations.

What is a linear equation?

The linear equation with the highest degree of one is this one. This implies that there are no variables in a linear equation with exponent greater than 1. This equation results in the graph having a straight line.

In order to obtain the solution, we will see which point satisfies both the equations.

1. (1,1)

⇒x-2y = -3

⇒1-2 = -3

⇒-1 ≠ -3

So, this is not the solution.

2. (1, -1)

⇒x-2y = -3

⇒1-2(-1) = -3

⇒1+2 = -3

⇒3 ≠ -3

So, this is not the solution.

3. (-1, 1)

⇒x-2y = -3

⇒-1-2 = -3

⇒-3 = -3

Second equation

⇒y = -2x - 1

⇒1 = -2(-1) - 1

⇒1 = 2 - 1

⇒1 = 1

Thus, this is the solution.

Hence, the solution is (-1, 1).

Learn more about linear equation from the given link

https://brainly.com/question/30092358

#SPJ1

The percentage of scores greater than 34 is 0.5398 or 53.98%.

Given that the mean of scores (μ) = 35 and the standard deviation (σ) = 10. We need to find the percentage of scores greater than 34. Since the scores are normally distributed, we can standardize the variable by using the z-score formula.

z = (x - μ) / σ

Here, x = 34, μ = 35 and σ = 10z = (34 - 35) / 10z = -0.1

We need to find the area to the right of the z-score line on the standard normal distribution table. The standard normal distribution table provides the probabilities corresponding to the z-scores, i.e. the area under the curve to the right or left of the z-score line on the distribution table. The area to the right of the z-score line represents the percentage of scores that are greater than the given value. Using the standard normal distribution table, the area to the right of the z-score line -0.1 is 0.5398.

The percentage of scores greater than 34 is 0.5398 or 53.98%.

To learn more about percentage of scores refer :

https://brainly.com/question/25361715

#SPJ11

Answer:

Used another answer on Brainly

Step-by-step explanation:

If 3 notebooks are 1.29 each, that’s 3.87 on notebooks. two dozen pencils at 3.45 a dozen is 6.90. add 3.87, 6.90, and 14.85 for a total of $25.62.

If 3 notebooks are 1.29 each, that’s 3.87 on notebooks. two dozen pencils at 3.45 a dozen is 6.90. add 3.87, 6.90, and 14.85 for a total of $25.62.

The total cost to cover the floor is $1,077.51

Here we know that one gallon of floor paint costs $21.99 and covers an area of 20ft by 20ft

That area is 20ft*20ft = 400ft^2

Now, for the floor of 140ft by 140ft the area is:

A = 140ft*140ft = 19,600ft^2

We need to see how many times 400ft^2 are in 19,600ft^2, so we take the quotient:

19,600ft^2/400ft^2  = 49

That is the number of gallons of paint that we will need, then the total cost is:

C = 49*$21.99 = $1,077.51

Learn more about costs:

https://brainly.com/question/19104371

#SPJ1