Earth's crust moves due to:



the spinning of Earth.


the inner core acting like a magnet.


convection currents in the mantle.


eruptions of magma.

The probability of the combined event that the next six days are all sunny is 1/4096

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

Probability that it is sunny = 1/4

Probability that it is cloudy = 3/4

Number of days = 6

The probability for all six days, it is sunny is represented as

Probability = Probability that it is sunny^Number of days

Substitute the known values in the above equation, so, we have the following representation

Probability = (1/4)⁶

Express as decimal

Probability = (0.25)⁶

Evaluate the exponent

Probability = 1/4096

Hence, the probability is 1/4096

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Answer: Length = 11

              Width = 9

Step-by-step explanation:

Let x represent the unknown length.

Let x - 2 represent the unknown width.

The perimeter is equal to 2 times x + (x -2)

Equation:

2 (x + (x - 2)) = 40

x + (x - 2) = 40/2

x + x - 2 = 20

2x - 2 = 20

2x -2 + 2 = 20 + 2

The length is: 2x = 22 -> x = 22/2 -> x = 11

The width is: x - 2 = 9

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

If a point is reflected over the x-axis, the x- coordinate of the image remains the same as the pre-image and the y- coordinate is the opposite of the pre-image. ... If a point is reflected over both axes, both coordinates of the image are opposite of the pre-image.

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

OOk

Step-by-step explanation:

Answer:

\(b1=1b2=1h=7b1=1b2=6h=2b1=6b2=9h=2\)

Answer:

1. (a)  [-1, ∞)

   (b)  (-∞, -1) ∪ (1, ∞)

2. (a)  (1, 3)

    (b)  (-∞, 1) ∪ (3, ∞)

3. (a)  9.6 m and 0.4 m

   (b)  03:08 and 15:42

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

The range of a function is the set of all possible output values (y-values).

Part (a)

When x < 0, the function is f(x) = x².

Since the square of any non-zero real number is always positive, the range of the function f(x) for x < 0 is (0, ∞).

When x ≥ 0, the function is f(x) = sin(x).

The minimum value of the sine function is -1 and the maximum value of the sine function is 1.  As the sine function is periodic, the function oscillates between these values.  Therefore, the range of function f(x) for x ≥ 0 is [-1, 1].

The range of function f(x) is the union of the ranges of the two separate parts of the function.  Therefore, the range of f(x) is [-1, ∞).

Part (b)

The domain of the function g(x) = ln(x² - 1) is the set of all real numbers x for which (x² - 1) is positive, since the natural logarithm function (ln) is only defined for positive input values.

Find the values of x:

\(\implies x^2-1 > 0\)

\(\implies x^2 > 1\)

\(\implies x < -1, \;\;x > 1\)

Therefore, the domain of function g(x) is (-∞, -1) ∪ (1, ∞).

Part (a)

To determine the interval where f(x) < 0, we need to find the values of x for which the quadratic is less than zero.

First, set the function equal to zero and solve for x:

\(\begin{aligned} x^2-4x+3&=0\\x^2-3x-x+3&=0\\x(x-3)-1(x-3)&=0\\(x-1)(x-3)&=0\\ \implies x&=1,\;3\end{aligned}\)

Therefore, the function is equal to zero at x = 1 and x = 3 and so the parabola crosses the x-axis at x = 1 and x = 3.

As the leading coefficient of the quadratic is positive, the parabola opens upwards. Therefore, the values of x that make the function negative are between the zeros.  So the interval where f(x) < 0 is 1 < x < 3 = (1, 3).

Part (b)
Since the square root of a negative number cannot be taken, and dividing a number by zero is undefined, function f(x) has to be positive and not equal to zero:  f(x) > 0.

As the parabola opens upwards, the values of x that make the function positive are less than the zero at x = 1 and more than the zero at x = 3.

Therefore the domain of g(x) is (-∞, 1) ∪ (3, ∞).

Part (a)

The range of a sine function is [-1, 1]. Therefore, to calculate the maximal and minimal possible water depths of the bay, substitute the maximum and minimum values of sin(t/2) into the equation:

\(\textsf{Maximum}: \quad 5+4.6(1)=9.6\; \sf m\)

\(\textsf{Maximum}: \quad 5+4.6(-1)=0.4\; \sf m\)

Part (b)

To find the times when the depth is maximal, set sin(t/2) to 1 and solve for t:

\(\implies \sin \left(\dfrac{t}{2}\right)=1\)

\(\implies \dfrac{t}{2}=\dfrac{\pi}{2}+2\pi n\)

\(\implies t=\pi+4\pi n\)

Therefore, the values of t in the interval 0 ≤ t ≤ 24 are:

Convert these values to times:

Solving provided question, we cans say that  This line's equation is y = 2x and You can see that the "Freya" point (3,6), "Ginny" point (6,12), and "Katie" point (9,18) all lie on the same line. This line's equation is

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

You can see that the "Freya" point (3,6), "Ginny" point (6,12), and "Katie" point (9,18) all lie on the same line. This line's equation is

x-3/6-3 = y-6/12-6

2(x-3) = y-6

y = 2x

You can see that the "Freya" point (3,6), "Ginny" point (6,12), and "Katie" point (9,18) all lie on the same line. This line's equation is

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394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

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Answer:

Not exactly sure what your asking but 11/3 as a mixed number is 3 2/3

Answer:

3 2/3 is the simplified version of 11/3

Step-by-step explanation:

Answer:

I think 164

Step-by-step explanation:

1312/8

Answer:

obtuse it is more than 90 so not a right and a straight angles is 180 degrees so it obtuse

The value of x will be 18.67 for the given data of the triangle.

We have,

Thale's theorem:

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

Given that the sides of the triangle are divided into two parts,

For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.

The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-

x / ( x + 7 ) = 16 / 22

22x = 16x + 112

6x = 112

x = 112 / 6

x = 18.67

Therefore, the value of x will be 18.67.

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complete question;

Find the values of x and y. Find value of x.

Answer:

sheeeeeeesh

Step-by-step explanation:

Answer:

5 pens

Step-by-step explanation:

$10 - 6$ = $4

$4/$0.80

she can afford 5 pens

Answer:

Answer 1008

Step-by-step explanation:

Answer:

Step one: say "5"

Step two: say "40"

Done.

The answer is:

g(x + 1) = 6x + 1

g(4x) = 24x -5

Work/explanation:

To evaluate, I plug in x + 1 into the function:

\(\sf{g(x)=6x-5}\)

\(\sf{g(x+1)=6(x+1)-5}\)

Simplify

\(\sf{g(x+1)=6x+6-5}\)

\(\sf{g(x+1)=6x+1}\)

------------------

Do the same thing with g(4x)

\(\sf{g(4x)=6(4x)-5}\)

\(\sf{g(4x)=24x-5}\)

Hence, these are the answers.

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Because 63 is a multiple of 7

So.... 63/7

=9

So this shows us 9 is the mean

HOPE IT HELPS YOU!

PLEASE MARK ME AS BRAIN LIST IF MY ANSWER IS HELP FUL

Answer:

ΔABC was reflected over both axes.

Step-by-step explanation:

ΔABC was reflected over both axes.

The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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Answer:

1:3

2:6

3:9

okay that's right

Step-by-step explanation:

Answer:

3/6

3 to 6

3:6

Step-by-step explanation

i don't know if this is what you are looking for

The table is hereby filled as follows:

Input/output table:

x. f(x)

-2. 0.5

-1 1

0 2

1 4

2. 8

2. To find the corresponding values of f(x), we can substitute each x-value into the given function y = 2 • (1/2)ˣ and simplify.

For example, when x = 0, f(0) = 2 • (1/2)⁰ = 2 • 1 = 2.

f(x) is a decreasing (or decaying) function because as x increases, the output values of f(x) decrease. This can also be seen in the table above where f(x) decreases from 4 to 2 as x increases from 1 to 2.

3. The initial value of f(x) is 2, which corresponds to the x-value of 0 in the table. This is because when x = 0, f(x) = 2 • (1/2)⁰ = 2.

4. The multiplier of f(x) is 1/2. This is because the function y = 2 • (1/2)ˣ can be rewritten as y = 2^(1) • (1/2)ˣ, where the base is 1/2. The multiplier is therefore equal to the base, which in this case is 1/2.

5. Word problem: A population of bacteria doubles every hour. Initially, there are 2 bacteria in the population. Write an equation to model the number of bacteria in the population after x hours.

Solution: The equation that models the number of bacteria in the population after x hours is f(x) = 2 • (1/2)ˣ, where f(x) represents the number of bacteria and x represents the number of hours that have passed. The initial value of f(x) is 2, which represents the initial number of bacteria in the population. The multiplier of f(x) is 1/2, which represents the rate at which the population is decreasing (since the bacteria are dying off).

6. The color you can use to draw f(x) is usually red or blue.

7. To translate f(x) 3 units up, we can add 3 to the function. The equation for g(x) is g(x) = f(x) + 3.

8. To translate f(x) 2 units left, we can replace x with (x + 2) in the function. The equation for h(x) is h(x) = f(x + 2) = 2 • (1/2)^(x+2) = 2 • (1/2)² • (1/2)^x = (1/2)² • f(x).

9. Input/output tables for g(x) and h(x):

For g(x):

x f(x) g(x)

-2 0.5 3.5

-1. 1. 4

0 2 5

1 4 7

2 8 11

For h(x):

x f(x) h(x)

-2 0.5 0.5

-1 1 1

0. 2. 2

1 4. 4

2 8 8

Domain and range for f(x), g(x), and h(x):

Domain for all three functions is all real numbers (-∞, ∞), as there are no restrictions on the possible input values for x.

Range for f(x) is (0, ∞), since the output values are always positive and never equal to 0.

Range for g(x) is (3, ∞), since we added 3 to all the output values of f(x).

Range for h(x) is (0, ∞), since we multiplied all the output values of f(x) by a positive constant (1/4), which does not change the sign of the output values

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Answer:

50.32

Step-by-step explanation:

By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.