The San Andreas fault separates the pacific plates from the North America plate. The pacific plate moved northward relative to the North American plate at a rate of 5.7 cm/year. Currently LA and San Francisco are about 470km away from each other, how long will it take for LA and SF to be next to each other? Answer in years

Answer:

x+3=2x-61 (corresponding angles)

3+61=2x-x

64=x

x=64

Answer:

x = 64

steps are in the photo

Consider three random variables, U, V, and W. The answer is E(W) = 2.

To solve for E(W), we need to use the fact that U is equal to both 3V+2 and 5W-23. We can set these two expressions equal to each other:

3V + 2 = 5W - 23

Solving for V in terms of W, we get:

V = (5W - 25) / 3

Now we can use the formula for the expected value of a linear function of a random variable:

E(aX + b) = aE(X) + b

In this case, we have:

V = (5W - 25) / 3

So:

E(V) = E((5W - 25) / 3) = (5/3)E(W) - 25/3

We know that E(V) = -5, so we can substitute that in:

-5 = (5/3)E(W) - 25/3

Solving for E(W), we get:

E(W) = (-5 + 25/3) / (5/3) = 2

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Answer:

rational

Step-by-step explanation:

1/3 is a rational number

Answer:

so ill tell you how to get the answer, okay?

Step-by-step explanation:

well, it's a right triangle so you use the formula for a rectangle and cut everything in half and what you have at the end is your answer. hope this helps somewhat. :-)

Answer:

the answer is 4√3

The rate of increase of area when the diagonal of the square is 14 m is 4√2x m²/min.

Given, The length of the diagonal of a square is increasing at a rate of 4 m/min.The diagonal length of the square when the area is increasing is 14 m each.
Let the side of the square be 'x' units.Diagonal of the square = √2x
The area of the square = x²
From the above details, we can relate the diagonal and the area of the square in terms of 'x' units.
Diagonal of the square, d = √2x ... (1)
Area of the square, A = x² ... (2)
Now differentiate the equation (1) and (2) with respect to time t.
d/dt (d) = d/dt (√2x)4 = d/dt (√2x) => d/dt (d) = 2(√2) (dx/dt) ... (3)
Differentiating (2) with respect to time t, we get
d/dt (A) = d/dt (x²)=> d/dt
(A) = 2x(dx/dt) ... (4)
From equations (1) and (3), we get:
dx/dt = 4 / (2√2)dx/dt = 2√2 m/min
From equations (2) and (4), we get:
d/dt (A) = 2x(dx/dt)
d/dt (A) = 2(x) (2√2)
d/dt (A) = 4√2x
The area of the square is increasing at a rate of 4√2x m²/min when the diagonal length is 14 m each.

So, the rate of increase of area when the diagonal of the square is 14 m is 4√2x m²/min.

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Answer:

#2

Step-by-step explanation:

3y = 2x - 6 (divide by 3 both sides)

y = 2/3 x - 2

Plot (0, -2) since -2 is the y-intercept in mx+b.

Go up 2 and to the right 3 so you land on (3, 0) and plot it.

Draw a straight line through the 2 points.

Your welcome!

Kayden Kohl

8th Grade

Answer:

The second one:)

Step-by-step explanation:

Answer: (25, 1) ? i'm not sure what the question is.

Step-by-step explanation:

Answer:

option 3

Step-by-step explanation:

Avery walked for 0.25 miles in 5 minutes. Then she stopped for 5 minutes to meet her friend.After that both of them walked 0.75 miles in 15 minutes.

Again this option is also correct.

Avery walked for  5 minutes at a pace of 20 minutes per mile. Then she stopped for 5 minutes to meet her friend.After that both of them walked for 15 minutes at a pace of 20 minutes per mile.

Because, Time taken to travel 1 mile is 20 minutes.

So, time taken to travel 0.25 miles = 20 * 0.25 = 5 minutes

Time taken to travel 0.75 miles = 20 * 0.75 = 15 minutes

The approximate distance in feet as a function of the distance in meters can be represented by the equation:

Distance in feet ≈ 3.2808 × Distance in meters.

To convert meters to feet, we can use the conversion factor that 1 meter is approximately equal to 3.2808 feet. This means that to convert a distance in meters to feet, we can multiply the distance in meters by 3.2808.

Given the conversion factors provided, we can write the equation as follows:

Distance in feet ≈ 3.2808 × Distance in meters.

For example, if we have a distance of 5 meters, we can substitute this value into the equation:

Distance in feet ≈ 3.2808 × 5 = 16.404 feet.

Similarly, for a distance of 12 meters, we can substitute this value into the equation:

Distance in feet ≈ 3.2808 × 12 = 39.3696 feet (approximated to 39.37 feet).

Therefore, by using the conversion factor, we can calculate an approximate distance in feet from a given distance in meters using the equation mentioned.

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Answer:

$ 1, 151.5

Step-by-step explanation:

1. 24.50x40=980  2. 24.50x7=171.5 3. 980+171.5=1, 151.50

CPI stands for consumer price index. The actual price of the cast-iron pan is 12. 5% higher than the expected price.

CPI stands for consumer price index. It is the measure of the weighted average of prices of an item(goods and services) over a period of time. It is given by the formula,

\(CPI_t=\dfrac{C_t}{C_0} \times 100\)

where \(C_t\) is the current market price and \(C_o\) is the base year price,

As it is given that the price of the cast-iron pan was $28.35 in 1983, while it is $52.95 today, also, the CPI for the cast iron pan is given to be 166, therefore, the expected price of the cast iron pan can be written as,

\(CPI_t=\dfrac{C_t}{C_0} \times 100\)

Substitute the values in the formula we will get,

\(166=\dfrac{C_t}{28.35} \times 100\\\\C_t=\dfrac{166 \times 28.35}{100}\\\\C_t = \$47.061\)

Thus, the expected price of the cast iron pan is $47.061.

Now, the percent relation of the actual price of a cast-iron pan to the expected price can be written as,

\(\rm Percentage\ change = \dfrac{Actual\ cost- Expected\ cost}{Expected\ cost} \times 100\)

Substitute the value of the expected price and the actual price,

\(\rm Percentage\ change = \dfrac{\$52.95-\$47.061}{\$47.061}\times 100 \\\\\rm Percentage\ change = 0.12513 \times 100\\\\\rm Percentage\ change = 12.513\%\)

Hence, the actual price is 12. 5% higher than the expected price.

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Answer:

Answer:

f(x)=5(1.18)^x

Answer:

B

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

An acute triangle is a triangle with all angles measuring less than 90°.

To solve an acute triangle using trigonometry, we need to know the length of at least one side and at least one angle of the triangle.

For example, let's assume the triangle has side lengths a = 6, b = 8, and we know the angle A = 30°.

First, we can use the Law of Cosines to calculate the length of the third side, c:

c² = a² + b² - 2abcos(A)

c² = 6² + 8² - 2(6)(8)cos(30°)

c² = 64 - 96cos(30°)

c² = 64 - 48

c² = 16

c = 4

Now we can calculate the other two angles, B and C, using the Law of Sines:

sin(B) = sin(A) * c/a

sin(B) = sin(30°) * 4/6

sin(B) = 0.5 * 2/3

sin(B) = 0.3333

B ≈ 19.47°

sin(C) = sin(A) * c/b

sin(C) = sin(30°) * 4/8

sin(C) = 0.5 * 0.5

sin(C) = 0.25

C ≈ 14.04°

Therefore, the three angles of the triangle are A = 30°, B = 19.47°, and C = 14.04°, and the three sides are a = 6, b = 8, and c = 4.

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-1

To use regrouping to solve, we need to add and subtract the numbers in the expression, taking care to keep track of any negative signs.

10 - 1 - 1 - 6 - ² - 2

= 10 - (1 + 1) - 6 - ² - 2 [Group the first two numbers together and add them]

= 10 - 2 - 6 - ² - 2 [Simplify the first three terms]

= (10 - 2) - 6 - ² - 2 [Group the first two terms together and subtract them]

= 8 - 6 - ² - 2 [Simplify the first two terms]

= 2 - ² - 2 [Simplify the first two terms]

= -1 [Simplify the expression by subtracting ² and 2 from -1]

Therefore, the final answer is -1.

The amount of money that Han saves by using a coupon is $1.5%

The percentage off Clare's purchase with the coupon is 25%

A coupon reduces the price at which an item is sold

Amount saved = coupon discouunt x normal price

10% x $15

0.1 x $15 = $1.5

Percent off = (6/24 x 100  = 25%

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

520 students.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

60% of the 1300 students passed. This means that 40% of the students failed.

⸻⸻⸻⸻

\(1300 * 0.4= 520\)

⸻⸻⸻⸻

520 students failed school.

⸻⸻⸻⸻

\(\boxed{\text{Another way to find this...}}\\\\\text{Take 60}\% \text{ of 1300:}\\\\1300 * 0.6 = 780\\\\\text{780 students passed school.}\\\\\text{Subtract 780 from 1300:}\\\\1300 - 780 = \boxed{520}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The value of x in the Triangle given is 64°

The value of A in Triangle ABC can be calculated thus :

A = 180 - (90+32) (sum of straight line angle

A = 58°

We can then find the Value of x :

In triangle ABC:

A+B+x = 180° (sum of angles in a triangle)

58 + 58 + x = 180

x = 180 - 116

x = 64°

Therefore, the value of x in the triangle is 64°

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Answer:

Step-by-step explanation:

Angles x and z are supplementary, meaning that they add up to 180.  From the markings on the diagram, angle z and the angle measuring 20 are complementary, meaning they add up to 90. So the game plan is to find out the measure of angle z first, then use that to find the measure of angle x.

angle z = 90 - 20 so

angle z = 70 degrees. And

angle z + angle x = 180.  Subbing in our value for z:

70 + angle x = 180 and

angle x = 180 - 70 so

angle x = 110 degrees

If ⅆy/ⅆt=6e−0.08(t−5)2, y change by c)18.017. as t changes from t=1 to t=6

To find how much y changes as t changes from 1 to 6, we need to integrate the given equation with respect to t from t=1 to t=6:

Δy = ∫₁^₆ 6e^(-0.08(t-5)^2) dt

This integral cannot be evaluated using elementary functions, so we need to use numerical integration methods. Using Simpson's rule with n=10 intervals, we get:

Δy ≈ 18.017

Therefore, the answer is 18.017 (option c).

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Regenerate response

The stems are 0, 2, 3, 4, 5, 6, 8. Therefore option e, is the correct answer

Stem and leaf plot are used in statistics to organize data that are collected. Any number in a data is broken down into a stem and a leaf.

Stem displays data on the left while leaf displays data to the right

The data for the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, 5, 47, 23, 65 can be represented in the stem and leaf plot below:

2 I 3 ⇒ 2 on the stem and 3 on the leaf read as 23

3 I 5 ⇒ 3 on the stem and 5 on the leaf read as 35

4 I 6 ⇒ 4 on the stem and 6 on the leaf read as 46

4 I 7 ⇒ 4 on the stem and 7 on the leaf read as 47

5 I    ⇒ 5 on the stem as 5

5 I 0 ⇒ 5 on the stem and 0 on the leaf read as 50

6 I 5 ⇒ 6 on the stem and 5 on the leaf read as 65

8 I 6 ⇒ 8 on the stem and 6 on the leaf read as 86

Hence, stems are 0, 2, 3, 4, 5, 6, 8

Therefore, option e, is the correct answer

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Answer:

Because 97 x 0.3196 cannot be 31.

It will be a number that has a 2 as the last digit.

Step-by-step explanation:

97 x 0.3196 will have an answer with a 2 as the last digit because 7 x 6 = 42 (the last digits in each factor)

Answer:

9,945,936,000.

Step-by-step explanation:

This is the number of permutations of 6 letters from 26 multiplied by number of permutations of 3 odd digits between 0 and 9.

The total number of odd digits between 0 and 9 are 1,3,5,7,9 = 5.

So the number of choices are

26P6 * 5P3.

=  26!/(26-6)! * 5!/ 2!

= 26!/20! * 5!/2!

= 165765600 * 60

= 9945936000.

Therefore , the solution of the given problem of quadrilateral comes out to be  3x - 4y = 2 is the equation of the line that contains the quadrilateral's lengthier diagonal.

A rectangular shape is a four-sided, four-cornered object in geometry. Latin terms were used to create the expression, both "quad" and "array of creative ideas." (meaning "side"). The three parts of a rectangle are four regions, four corners, and four corners. The two main types of concave and convex shapes are convex and concave. Subdivisions in trapezoids, geometric figures, angles, rhombuses, and cubes are also considered to be convex quadrilaterals.

Here,

With ends A(2, 2) and C(1, -1), Diagonal AC has the following length:

=> √[(1 - 2)² + (-1 - 2)²] = √[10]

Diagonal BD's length is given by its ends B(-2, -2) and D(6, 4).

=>  √[(6 - (-2))] + √[4 - (-2)] = √[100]

Inferring that diagonal BD is the longer diagonal from the fact that

=>  √[100] = 10 is larger than sqrt[10].

The inclination of the line containing diagonal BD can then be determined:

=>  slope = (4 - (-2)) / (6 - (-2)) = 6/8 = 3/4

Finally, we can determine the equation of the line containing the diagonal BD using the point-slope form of the equation of a line:

=> y - 4 = (3/4)(x - 6)

=>  4y - 16 = 3x - 18

=>  3x - 4y = 2

Consequently, 3x - 4y = 2 is the equation of the line that contains the quadrilateral's lengthier diagonal.

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Answer:

Yes

Step-by-step explanation:

The reason can simply because they are similar shapes (triangle) which reports same sides same angle

Let x = the rate in still water and y = the rate of the current.

Distance = rate x time

Set up two equations:

Upstream: 7(x-y) = 385

Simplify by dividing both sides by 7:

x-y = 55

Downstream 4(x+y) = 420

Simplify by dividing both sides by 4:

x + y = 105

Now add both equations together:

x - y = 55

x +y = 105

= 2x = 160

Divide both sides by 2:

x = 80

The rate is 80 km per hour in still water.

Now solve for Y, which is the current:

x- y = 55

Replace x with 80:

80-y = 55

y = 25 km/hr ( cuurent rate)

Answer:

Option D - (50, 30); 50 adult tickets and 30 child tickets

Step-by-step explanation:

Answer:

1.4 · 10³

Step-by-step explanation:

6.58 · \(10^{6}\) ÷ 4.7 · 10³

6.58 ÷ 4.7 = 1.4

\(10^{6}\) - 10³ = 10³

1.4 · 10³

Answer:

3.0926 x 10^10

Step-by-step explanation:

By solving some linear equations we can see that:

The first missing number is 5.

The second missing number is 9

Here we have a decomposition of the number 360, this means that if we define x as the missing number, then we must have that:

2*x*2*2*3*3 = 360

So we just need to solve this linear equation.

x*72 = 360

x = 360/72 = 5

x = 5

The missing number in the tree is 5.

Similarly, for the second tree if the missing number is y, we should have:

2*5*4*y = 360

40*y = 360

y = 360/40 = 9

The missing number is 9.

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