if two cities lie on different tectonic plates, and those plates are moving so that the cities are approaching each other, how many years will it take for the two cities to be situated adjacent to each other? los angeles is 630 km south of san francisco. the plate under los angeles is moving north about 36 mm per year relative to the plate under san francisco. given this average rate of plate movement, how long will it take for los angeles to be located next to san francisco? show your work.

Answer:

86

Step-by-step explanation:

I assume the question is [tex] \sum_{n=1}^{7} 2(-2)^{n-1} [/tex]

7: 2(-2)^6 = 128

6: 2(-2)^5 = -64

5: 2(-2)^4 = 32

4: 2(-2)^3 = -16

3: 2(-2)^2 = 8

2: 2(-2)^1 = -4

1: 2(-2)^0 = 2

128 - 64 + 32 - 16 + 8 - 4 + 2 = 86

Answer:

Step-by-step explanation:

this is easy

Answer:

-1 3/8

Step-by-step explanation:

-2.25 + 0.4x = -2.8

-2.25 + 2.25 + 0.4x = -2.8 + 2.25  ==> add 2.25 on both sides to isolate x

0.4x = -0.55

(0.4x = -0.55)*20 ==> multiply the equation by 20 to remove decimals

8x = -11

x=-11/8

x=-(3+8)/8  ==> turn x into a mixed number

x=-3/8 - 8/8

x=-3/8 - 1 ==> simplify

x=-1 - 3/8

x=-(1 + 3/8)

x=-1 3/8

y = [tex]\frac{3}{4} x[/tex] is the relationship between two variables x and y.

from the Table x and y in the ratio 4 : 3

i. e

The equation related to x and y  is :

y = [tex]\frac{3}{4} x[/tex].

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Answer:

Below

Step-by-step explanation:

First one and third one and 4th one are true

Answer: The recursive formula for the sequence 2, -6, 18, -54 is given by the following:

a(n) = (-3) * a(n-1)

where a(n) is the nth term of the sequence and a(n-1) is the previous term in the sequence.

This means that each term in the sequence is equal to -3 times the previous term, with the first term being 2. For example, the third term of the sequence (a(3)) would be equal to (-3) * a(2), which is (-3) * (-6) = 18. The fourth term of the sequence (a(4)) would be equal to (-3) * a(3), which is (-3) * 18 = -54. And so on.

This recursive formula can be used to calculate the nth term of the sequence for any value of n.

Answer: False

Step-by-step explanation: This is false because perpendicular mean that 2 lines cross to make a 90 degree angle. If a cross product is 0 the lines never touch meaning its parallel.

After solving the equation, the value obtained for x will be equal to 20 in².

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure.

The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the given information in the question,

Let the length of the rectangular wood, l = 16 in and,

The width of the rectangular wood, w = 8 in.

Use the area of a rectangle,

A = lw

A = (16)(8)

A = 128 in².

Let the area cut from each side be x.

If the area is cutting from all sides, then it will be 4x.

The surface area left after cutting the board = 48 in²

Then, the equation will be,

128 in² - 4x = 48 in²

4x = 128 in² - 48 in²

4x = 80

x = 80/4

x = 20 in²

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Answer:

3 days

Step-by-step explanation:

Answer:

The weight of the two goats is 2.08 kg

Step-by-step explanation:

Total avg

Avg of the two goats

Avg of one goat

Answer:

The interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.

Step-by-step explanation:

To calculate the interest earned on a savings account, you need to know the interest rate, the length of time the money is deposited, and the starting balance. Based on the information provided, it appears that the interest rate is 1.5% per year, the money is deposited for 12 months, and the starting balance is $3500.

To calculate the interest earned, you would first need to convert the interest rate to a decimal by dividing it by 100. In this case, the interest rate would be 0.015. You would then multiply the interest rate by the starting balance to get the amount of interest earned in a year. In this case, the interest earned would be $3500 * 0.015 = $52.50.

Since the interest is compounded yearly, the total balance after one year would be the starting balance plus the interest earned. In this case, the total balance would be $3500 + $52.50 = $3552.50. Therefore, the interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.

Answer:

"15" (and any subsequent words) was ignored because we limit queries to 32 words

There are 90000 palindromes 10-digit numbers.

In this question we need to find the number of 10-digit integers are there which are palindromes.

We know that a palindrome is a number that reads the same forward and backward.

The numbers that remain same even if they are reversed.

For exa., 131, 5225

We can observe that for even digit palindromes first half should be equal second half in reversed order.

we can generalize it as variables:

abcdeedcba, for a not equal to 0

So if we know how many 5-digit numbers are there, all we have to do is reverse it and we will have our 10-digit palindrome number.

There are 10 digits in total (0 - 9)

Since the first digit cannot be zero we excluded it from our choice hence we have 1–9 i.e 9 choices for first place(hundred's place)

The second, third, fourth and fifth digit has all 10 choices.

So, in total there are 9 x 10 x 10 x 10 x 10= 90000 five digit numbers.

Therefore, the total 10-digit numbers which are palindromes =  90000

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Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209. This means that we can be 95% confident interval that the true slope coefficient lies between 0.2209 and 0.45.

1. The standard error of the slope coefficient can be calculated by dividing the sample standard deviation of the residuals (obtained from the regression output) by the square root of the sample size.

2. The lower limit of the 95% confidence interval of the slope coefficient can be calculated by subtracting 1.96 times the standard error of the slope coefficient from the coefficient itself.

Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209

Interpretation

The lower limit of the 95% confidence interval for the slope coefficient of the regression of kinesthetic VARK scores on the visual VARK scores for biology students is 0.2209. This means that we can be 95% confident that the true slope coefficient lies between 0.2209 and 0.45.

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The time to reach 15 feet is 3.75 seconds and the times to reach 63 feet are 1.75 and 2.25 seconds

From the question, we have the following parameters that can be used in our computation:

h= -16t² + v₀t + h₀

Also, we have

v₀ = 64

h₀ = 0

So, the function becomes

h= -16t² + 64t

At a height of 15 feet, we have

-16t² + 64t = 15

So, we have

-16t² + 64t - 15 = 0

Factorize the equation

So, we have the following representation

(4t - 1)(4t - 15) = 0

Expand the equation

4t - 1 = 0 or 4t - 15 = 0

So, we have

4t = 1 or 4t = 15

This gives

t = 1/4 or t = 15/4

Express as decimals

t = 0.15 or t = 3.75

Here, we have

h= -16t² + v₀t + h₀

Also, we have

v₀ = 64

h₀ = 0

So, the function becomes

h= -16t² + 64t

At a height of 63 feet, we have

-16t² + 64t = 63

So, we have

-16t² + 64t - 63 = 0

Factorize the equation

So, we have the following representation

(4t - 7)(4t - 9) = 0

Expand the equation

4t - 7 = 0 or 4t - 9 = 0

So, we have

4t = 7 or 4t = 9

This gives

t = 7/4 or t = 9/4

Express as decimals

t = 1.75 and t = 2.25

Hence, the time is 2.25 seconds

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Complete question

An object is thrown vertically upward from a height of h₀ ft with an initial speed of v₀ ft/sec. Its height h (in feet) after t seconds is given by

h= -16t² + v₀t + h₀. Given this, if it is thrown vertically upward from the ground with an initial speed of 64 ft/sec,

(a) At what time will the height of the ball be 15 ft? (two answers)

(b) How long will it take for the ball to reach 63 ft?

Answer: 500

Step-by-step explanation:

280 + 220 is 500

Answer:

The number is 500.

Step-by-step explanation:

Let's assume that,

→ Missing number = x

Forming the equation,

→ x = 220 + 280

Now the value of x will be,

→ x = 220 + 280

→ [ x = 500 ]

Hence, the number is 500.

The measures of the angles are m ∠ 1 = 68°, m ∠ 2 = 126° and m ∠ 3 = 54°

Parallel lines are those straight lines that are always the same distance apart from each other. Parallel lines never meet, no matter how much they are extended.

Given is a figure, in which, lines d, e and lines f, g are parallel and h is a transversal.

In figure, (refer to figure attached)

ABC is a triangle,

Therefore, according to angle sum property of a triangle,

m ∠ 1 + 58° + 54° = 180°

m ∠ 1 = 180° - 112°

m ∠ 1 = 68°

Since, f║g

m ∠ 2 + 54° = 180° (consecutive angles between parallel line are supplementary)

m ∠ 2 = 126°

Similarly, d║e

m ∠ 2 + m ∠ 3 = 180°

m ∠ 3 = 180° - 126°

m ∠ 3 = 54°

Hence, The measures of the angles are m ∠ 1 = 68°, m ∠ 2 = 126° and m ∠ 3 = 54°

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The area of a rectangle with given length and width is 2t³+15t²+19t+6 square units.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Given that, length of a rectangle =t²+7t+6 and width of rectangle =2t+1.

Here, area of a rectangle = (t²+7t+6)×(2t+1)

= t²(2t+1)+7t(2t+1)+6(2t+1)

= 2t³+t²+14t²+7t+12t+6

= 2t³+15t²+19t+6 square units

Therefore, area of a rectangle is 2t³+15t²+19t+6 square units.

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Answer:

Here is the answer

Step-by-step explanation:

If b to the power x is equal to 7 and b is a positive number, then 7 / b must equal b to the power (x-1).

We can see this by applying the definition of an exponent: b to the power x is equal to b multiplied by itself x times. For example, if b is 2 and x is 3, then 2 to the power 3 is equal to 2 * 2 * 2 = 8.

If we divide both sides of this equation by b, we get:

7 / b = (b * b * ... * b) / b = b * b * ... * b = b to the power (x-1)

Therefore, if b to the power x is equal to 7 and b is a positive number, then 7 / b must equal b to the power (x-1). The answer is therefore a) b to the power (x-1).

Answer:EF to AD

Step-by-step explanation:

Answer:

it is 12/2b

Step-by-step explanation:

answeranswer

The given statement , regression analysis invites us to think in terms of an independent variable resulting from or being caused by a dependent variable's actions is true.

Regression analysis is a group of statistical procedures used in statistical modelling to determine the relationships between a dependent variable (often referred to as the "outcome" or "response" variable, or a "label" in machine learning jargon), and one or more independent variables (often referred to as "predictors," "covariates," "explanatory variables," or "features").

In linear regression, the most typical type of regression analysis, the line (or a more complicated linear combination) that most closely matches the data in terms of a given mathematical criterion is found.

When using the ordinary least squares method, for instance, the specific line (or hyperplane) that minimizes the sum of squared differences between the genuine data and that line is computed (or hyperplane).

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Answer:

try 1239128981441231241

Step-by-step explanation:

myra

When she subtracts 4 from both side of the equation, then she gets the value of x is 0.

Expressions means the idea of expressing numbers using letters or alphabets without specifying their actual values, the expression is the statement consisting variable, numbers, and arithmetical operation.

Given that, Karissa begins to solve the equation,

1/2(x-14)+11 = 1/2x-(x-14)

1/2x-1/2(14)+11 = -1/2x-x+4

1/2x-7+11 = -1/2x+4

1/2x+4 = -1/2x+4

1/2x+1/2x = 4-4

x = 0

Hence, When she subtracts 4 from both sides, then x = 0

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I Agree With The Other Person

Answer:

C

Step-by-step explanation:

5/3 can be written as 1.6666667 in decimal form. C is the only option greater than 1

Inverse function of f(x) 8√ x for x > 0 is  f^-1(y)is 8√y for y > 0. The inverse of a function is a function that "undoes" the original function.

In order for a function to have an inverse, it must be one-to-one, meaning that each input value must correspond to a.

if the original function maps input values to output values, the inverse function maps the output values back to the input values.

To find the inverse of the function f(x) = 8√x for x > 0, we can use the following steps:

Replace f(x) with y. This gives us y = 8√x for x > 0.

Replace x with f^-1(y). This gives us f^-1(y) = 8√y.

Solve for y. To solve for y, we can square both sides of the equation:

y^2 = (8√y)^2

y^2 = 64y

y^2 - 64y = 0

y(y - 64) = 0

This equation has two solutions: y = 0 or y = 64. However, the original function is only defined for x > 0, so the inverse function is only defined for y > 0. This means that the inverse function is f^-1(y) = 8√y for y > 0.

Therefore, the inverse of the function f(x) = 8√x for x > 0 is f^-1(y) = 8√y for y > 0.

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Answer: 99.

If you take 275 and subtract it by 176, it should be 99, if I’m correct.

The statement 'the effect size for a regression analysis will be equal to the coefficient of determination' is True

In this question we have been given a statement 'the effect size for a regression analysis will be equal to the coefficient of determination'

We need to state whether the given statement is true or false.

We know that the effect size measures the strength of the relationship between two variables on a numeric scale.

And the coefficient of determination(R²) measures how well a statistical model predicts an outcome. It is a number between 0 and 1.

R² is a measure of effect size

Therefore, 'the effect size for a regression analysis will be equal to the coefficient of determination' is True.

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