Why is California at higher risk for earthquakes than North Dakota

( Also i know this isnt math but people answer faster when its in math )

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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Answer:

Step-by-step explanation:

Go down on the graph 8 for the Y-axis then go across 4 on the X-axis.

Answer:

Function, function

Step-by-step explanation:

Each input corresponds to one output. Thus, by the definition of a function, both graphs represent functions

a) Composite function fog(x) = 3/(x+3)

b) Domain of fog(x) in interval notation = (-∞,-3)∪(-3,∞)

A function is a process or a relation that associates each element 'a' of a set A , to a single element 'b' of another set B.

Given functions,

f(x) = x/(x+2)

g(x) = 6/x

a) (fog)(x) = f(g(x))

= f(6/x)

= (6/x)/((6/x) + 2)

= 6/x((6/x) + 2)

= 6/(6 + 2x)

= 3/(x+3)

fog(x) = 3/(x+3)

b) Domain of (fog)(x)

y = 3/(x+3)

For domain y = 0

⇒ x+3  = 0

⇒ x  = -3

But the function gets undefined for x = -3

So, Domain x ≠ -3

⇒ x > -3 or x < -3

Domain set Interval Notation : (-∞,-3)∪(-3,∞)

Hence, value of composite function

fog(x) = 3/(x + 3)

Domain of fog(x) : (-∞,-3)∪(-3,∞)

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Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

Recall the double angle identity,

sin(2x) = 2 sin(x) cos(x)

Then we can write

sin(9x) cos(9x) = 1/2 sin(2 • 9x) = 1/2 sin(18x)

Then

∫ sin(9x) cos(9x) dx

= 1/2 ∫ sin(18x) dx

= -1/2 • 1/18 cos(18x) + C

= -1/36 cos(18x) + C

though you could continue with another double angle identity,

cos(2x) = cos²(x) - sin²(x)

to rewrite the antiderivative as

= -1/36 (cos²(9x) - sin²(9x)) + C

= 1/36 (sin²(9x) - cos²(9x)) + C

The events of having hearing problems and listening to loud music through headphones are dependent.

To determine whether the events of having hearing problems and listening to loud music on headphones are independent, we need to compare the joint probability of these events to the product of their marginal probabilities.

If the joint probability is equal to the product of the marginal probabilities, then the events are independent. Otherwise, they are dependent.

Let's define the events as follows:

H = having hearing problems

M = listening to loud music on headphones regularly

According to the problem statement, we have the following probabilities:

P(H) = 0.14 (14% of those who listened to music through headphones showed signs of hearing problems)

P(M) = 0.65 (65% of the sample reported listening to loud music through headphones regularly)

P(not H) = 0.75 (75% of the sample were found not to have hearing problems)

Use these probabilities to calculate the joint probability of the two events:

P(H and M) = P(H | M) * P(M)

P(H | M) is the conditional probability of having hearing problems given that the person listens to loud music through headphones regularly.

use Bayes' theorem to calculate it as follows

P(H | M) = P(M | H) × P(H) / P(M)

P(M | H) is the conditional probability of listening to loud music through headphones regularly given that the person has hearing problems.

We don't have this value either, but we can use the fact that P(H and M) = P(M | H) × P(H) to get it:

P(M | H) = P(H and M) / P(H) = 0.14 / 0.75

Substituting this into Bayes' theorem, we get:

P(H | M) = (0.14 / 0.75) × 0.14 / 0.65 = 0.0367

Now we can calculate the joint probability:

P(H and M) = P(H | M) × P(M) = 0.0367 × 0.65 = 0.0238

Finally, we can calculate the product of the marginal probabilities:

P(H) × P(M) = 0.14 × 0.65 = 0.091

Since the joint probability (0.0238) is not equal to the product of the marginal probabilities (0.091).

Therefore, the events of having hearing problems and listening to loud music through headphones are dependent.

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Answer:

$3.24

Step-by-step explanation:

Cost for the coffee + Cost for the bagel

$1.39 + $1.85

$3.24

Answer:

CCC

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

After simplificatiοn οf the given expressiοn the factοr is 11. Thus, οptiοn b is cοrrect.

There is a need fοr mathematical οperatiοns like multiplying, splitting, adding, and even deleting. They wοuld result in the fοllοwing assertiοn if cοmbined: A mathematical fοrmula, sοme data, and an equatiοn A declaratiοn οf truth is made up οf values, elements, and mathematical οperatiοns like additiοns, erasures, algebraic expressiοns, and divisiοns. It is pοssible tο rate and analyze wοrds and sentences.

Here,

When we replace these in the statement, we get:

=\(\dfrac{(2^{10} \times 3^{10})(5^3 \times 11^3)(3^2 \times 5^2) }{(2^{10} \times 5^5)(3^{12})(11^{20})}\)

= \(\dfrac{(11 \times 15^2) } {15^2}\)

= 11

After simplificatiοn of the given expressiοn the factor is 11. Thus, οption b is correct.

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Answer:

  f(x) = (x +6)(x -5)  or  f(x) = x² +x -30

Step-by-step explanation:

You want a quadratic function whose zeros are -6 and +5.

If p is a zero of the polynomial f(x), then (x-p) is a factor. The two given zeros meant that the factors are ...

  f(x) = (x -(-6))·(x -5)

  f(x) = (x +6)(x -5) . . . . . . . . simplify a bit

This can be put in standard form by multiplying the factors:

  f(x) = x(x -5) +6(x -5) = x² -5x +6x -30

  f(x) = x² +x -30 . . . . . . . . simplified quadratic function

The quadratic function of the zeros is f(x) = \(x^2+x-30\).

What is quadratic function?

A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. A polynomial of degree 2 is referred to as such because the greatest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. It is a mathematical function.

Here the zeros of the function is -6 and 5.

We know that if zeros of the function is a then the factor is (x-a).

Then,

=> f(x) = (x-(-6))(x-5)

=> f(x) = (x+6)(x-5)

=> f(x) = \(x^2+6x-5x-30\)

=> f(x) = \(x^2+x-30\)

Hence the quadradic function is f(x) = \(x^2+x-30\).

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(y = - \frac{2}{3}x + \frac{5}{3} \\ \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

(3, 0)

Step-by-step explanation:

It might be first helpful to think about the function \(|x-3|\), we will call this \(g(x)\). So, \(g(x)=|x-3|\).

The modulus (absolute value) function reflects any points on a graph that go below the x-axis up into the positive x region.

We know that the graph of \(y=x-3\), will cross the x-axis at (3,0). We can work this out by setting y to 0 and rearranging for x. At the x-axis, y = 0.

Therefore, when the modulus comes in, a vertex will be created at (3,0).

But that is the vertex of \(g(x)\).

Using basic algebra we can derive from previous working that \(f(x)=2g(x)\).

Graphically, the multiplier of 2 on the outside of \(g(x)\) stretches the graph in y-axis, and does so by the scale factor of 2.

With our vertex (3,0), the y value is 0. And if you multiply 0 and 2 together, 0 is produced. The x value will remain unchanged as a result of this transformation.

Therefore, the vertex of \(f(x)\) is (3,0).

Answer:

0*3=0

1*3=3

2*3=6

3*3=9

Step-by-step explanation:

Answer:

3x + y^3 z

3×x+y×y×y×z

there is common 1

1(3×x+y×y×y×z)

factor =1,&(3x+y³z)

The number of significant digits that the product have is 3.

Significant figures are the number of digits that add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures.

Rules for determining Significant Numbers,

Given Numbers are  \(5.2187 * 10^{-3}, 2.05 *10^{7} and 3.40 * 10^{3}\)

Now, Multiplying the given numbers,

\(5.2187 * 10^{-3}* 2.05 *10^{7} * 3.40 * 10^{3} =3.64 *10^{8}\)

So, In 3.64 *10^8, The number of significant digits is 3.

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Answer:

answer is 3

Step-by-step explanation:

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

Here we go ~

First, let's find slope of line parallel to required line by converting the equation into slope intercept form :

\(\qquad \sf  \dashrightarrow \: - 4x + y = 5\)

\(\qquad \sf  \dashrightarrow \: y = 4x + 5\)

So, it's slope is 4 ( Coefficient of x )

Slope of required line is equal to the line parallel to it, so slope of required line is 4 as well.

Now, we have slope : m = 4, and it passes through point (5 , 4) so let's write it's equation in point slope form ~

\(\qquad \sf  \dashrightarrow \: y - y _ 1 = m(x - x _ 1)\)

\(\qquad \sf  \dashrightarrow \: (y -4) = 4(x - 5)\)

\(\qquad \sf  \dashrightarrow \: y - 4 = 4x - 20\)

\(\qquad \sf  \dashrightarrow \: y = 4x - 20 + 4\)

\(\qquad \sf  \dashrightarrow \: y = 4x - 16\)

Check the picture below.

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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The number of coupon codes that can be generated is given as follows:

247,808 coupon codes.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The codes are composed as follows:

Thus the total number of codes is obtained as follows:

N = 22² x 8³

N = 247,808 coupon codes.

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Answer:

Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls

The best ticket price that will result in the maximum income would be the ticket price of = $9 per ticket.

When a ticket price of $7 is charged = $12,000 income.

That is the total number of tickets that will be sold = 12000/7 =. 1714 (approximately).

An increase in ticket price by $1 = $12,900.

That is $8 per ticket = $12,900 income.

An increase in ticket price by $2 = $13,550.

That is $9 per ticket = $13,550

Therefore the ticket price that will be the best estimate = $9 per ticket.

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Answer: Andre should buy Car 2. Brainliest?

Step-by-step explanation:

To compare the gas mileage of the two cars, we need to find out how many miles each car can travel per gallon of gas.

For Car 1: y = 25x

This means that for every gallon of gas used (x), the car can travel 25 times that amount in miles (y). So, the gas mileage for Car 1 is 25 miles per gallon (mpg).

For Car 2: we can calculate the miles per gallon by dividing the total miles traveled by the number of gallons of gas used:

For 2 gallons of gas, the car can travel 60 miles. So, the gas mileage is 30 mpg (60 miles ÷ 2 gallons).

For 5 gallons of gas, the car can travel 150 miles. So, the gas mileage is 30 mpg (150 miles ÷ 5 gallons).

For 7 gallons of gas, the car can travel 210 miles. So, the gas mileage is 30 mpg (210 miles ÷ 7 gallons).

For 8 gallons of gas, the car can travel 240 miles. So, the gas mileage is 30 mpg (240 miles ÷ 8 gallons).

For 11 gallons of gas, the car can travel 330 miles. So, the gas mileage is 30 mpg (330 miles ÷ 11 gallons).

Therefore, Car 2 has a consistent gas mileage of 30 mpg.

From the above calculations, we can see that Car 2 has a better gas mileage compared to Car 1. Car 2 can travel 30 miles on a gallon of gas, while Car 1 can only travel 25 miles on a gallon of gas.

Therefore, Andre should buy Car 2 if he wants to get the best gas mileage. Car 2 can travel 5 more miles per gallon than Car 1.

Answer:

Explanation:

Here, we want to find the slopes and lengths of the sides of a quadrilateral

To find the slopes, we use the equation:

To find the length, we use the equation:

We take the sides one after the other

a) HI

We have the slope as:

We have the length as:

b) IJ

We have the slope as:

We have the length as:

c) JK

Slope:

Length:

D) KH

Slope:

Length:

From the answers obtained, the side lengths KH and IJ are the same, while the side lengths JK and KI are the same

Also, looking at the slopes, when the product of the slopes of two lines equal -1, the two lines are perpendicular

Since:

We can conclude that a set of two sides(KH, JK and HI, IJ) are perpendicular

Thus, we have it that the quadrilateral is a rectangle

Answer: step by step

Step-by-step explanation:

not totally sure what you're asking but in this equation p=2

Answer:

45°

Step-by-step explanation:

The value of "a" is 45°

both are congruent angles

Answer: its 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. im prob to late but i need points

The value of x in the equation is 4.

An Algebraic expression shows the expression of variables with numbers. The purpose of an algebraic expression is to determine the unknown variable represented by an unknown letter.

From the given information:

2(6x + 4) - 6 + 2x = 3(4x + 3) + 1

Open brackets

12x + 8 - 6 + 2x = 12x + 9 + 1

Collect like terms

12x + 2x - 12x = -8 + 6+9 + 1

14x - 12x = -8 + 16

2x = 8

x = 8/2

x = 4

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Check the picture below.

so notice, the area of the pyramid is really just the area of the four triangles with an altitude of 3 and a base of "s", and a square that s² in area, and we happen to know that's 40 inches.

\(\stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(\underset{b}{s})(\underset{h}{3}) \right]}~~ + ~~\stackrel{ square }{(s)(s)}}~~ = ~~40\implies 6b+s^2=40\implies s^2+6b-40=0 \\\\\\ (s+10)(s-4)=0\implies s= \begin{cases} -10\\ ~~ ~~ 4 ~in~~ \textit{\LARGE \checkmark} \end{cases}\)

now, let's notice, we can't use the negative value, because the sides are never negative.