The layer of the Earth that the lithospheric plates move on top of is called the


A.

lithosphere


B.

asthenosphere


C.

mesosphere


D.

crust

The answer, rounded to the appropriate number of significant figures, is 5.45 kg/L. To express it in scientific notation, we can write it as:
5.45 × 10^(0) kg/L.Since 10^0 equals 1, the final answer in scientific notation is:5.45 × 1 kg/L

The given expression [(0.00034 kg)/((0.0000598 L+2.54×10^(-6) L))] represents a division calculation. To evaluate the expression, we substitute the given values into the equation and perform the necessary calculations. The final answer is expressed in scientific notation, rounded to the appropriate number of significant figures, and includes the correct unit.To evaluate the expression [(0.00034 kg)/((0.0000598 L+2.54×10^(-6) L))], we substitute the given values and perform the division:
Numerator: 0.00034 kg
Denominator: (0.0000598 L + 2.54×10^(-6) L)
Adding the terms in the denominator, we get:
0.0000598 L + 2.54×10^(-6) L = 0.00006234 L
Now we can rewrite the expression as:
(0.00034 kg) / (0.00006234 L)
Performing the division:
(0.00034 kg) / (0.00006234 L) ≈ 5.453 kg/L

The answer, rounded to the appropriate number of significant figures, is 5.45 kg/L. To express it in scientific notation, we can write it as:
5.45 × 10^(0) kg/L.Since 10^0 equals 1, the final answer in scientific notation is:5.45 × 1 kg/L
Therefore, the evaluated expression is 5.45 kg/L.

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Answer:

Step-by-step explanation:

y = -\(\frac{5}{3}\)x+5  equation has an X intercept of 3 and a y intercept of 5 .

  The point on a line where it crosses an axis is referred to as the "intercept." The slope of the line passes through a point called an intercept on the y-axis.

The equation for a line, which is written as y = mx+c, which stands for slope and y-intercept, respectively, reflects this.

The two main intercepts are X-intercept and Y-intercept. Where the line crosses the x and y axes, respectively, is where the line's x-intercept and y-intercept are situated.

In this case, you are given both intercepts.

Plot a line from the third x-axis point.

On the y-axis, place the coordinates y = 5.

The necessary line is a straight line that passes through these two places is

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

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we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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The value of the machine 7 years from now.

To determine the value of the machine 7 years from now, we can use the formula for exponential decay:

V(t) = V(0) * e^(-kt)

Where:

V(t) is the value of the machine at time t

V(0) is the initial value of the machine

k is the decay constant

t is the time in years

We are given that the machine was purchased 9 years ago for $77,000, so V(0) = $77,000. We also know that the current value of the machine is $35,000, so V(t) = $35,000.

We can plug in these values to find the decay constant:

$35,000 = $77,000 * e^(-k * 9)

Dividing both sides by $77,000:

e^(-k * 9) = $35,000 / $77,000

Taking the natural logarithm of both sides:

-ln(e^(-k * 9)) = ln($35,000 / $77,000)

Simplifying:

9k = ln($35,000 / $77,000)

Now we can solve for k:

k = ln($35,000 / $77,000) / 9

Now we can use this value of k to find the value of the machine 7 years from now:

V(7) = $77,000 * e^(-k * 7)

Substituting the value of k we found:

V(7) = $77,000 * e^(-ln($35,000 / $77,000) / 9 * 7)

Calculating this expression will give us the value of the machine 7 years from now.

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The value of the machine 7 years from now, based on the exponential decay model, will be about $17960.33.

This question pertains to exponential decay. In mathematics, we often use the formula for exponential decay to analyze the decline of asset values over time. The formula is V(t) = V0 * e^(-kt), where V(t) is the value at time t, V0 is the initial value, k is the decay constant, and e is the base of natural logarithms (approximately equal to 2.71828).

Given that the initial value of the machine was $77000 and it is now worth $35000 after 9 years, we first solve for the decay constant k using the equation: 35000 = 77000 * e^(-9k). Solving for 'k', we find that k is approximated to 0.0613.

Now, to find the value of the machine 7 years from now (16 years total from the original purchase), we substitute these values into our formula, getting V(16) = 77000 * e^(-0.0613*16), which gives us a machine value of approx $17960.33, rounded to the nearest cent.

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The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)

The equation of the line through (1,2) makes an equal intercept on the axis

The formula of the intercept form is

\(\frac{x}{a} +\frac{y}{b} =1\)

If they make an equal intercept

\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)

Put the value of the point in the axis, and we get.

\(1+2=a\\a=3\)

Put the value in the equation, and we get.

\(x+y=3\)

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Answer:

2/4

Step-by-step explanation:

because youre asking for the probability of two coins and there are four coins all together.

have a good day

Answer: x=42

Step-by-step explanation:2x+2x+12=4x+12=180 so 180-12=4x

e = -2

that should be the correct answer

Answer:

e = 2

Step-by-step explanation:

Answer: f(x) and g(x) both represent y of the equations

Step-by-step explanation: f(x) and  g(x) both represent the y of the equation for example f(x)=mx+b or g(x)+mx+b both would be to find y of that specific equation and that would also make them inverses because you could use the table to label the inverses on a graph.

To calculate the annualized rate of return, we can use the formula for compound interest. The correct answer is 11.66%.

The formula for compound interest is given by: A = P(1 + r)^t, where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the time in years.

In this case, the initial investment (P) is BD 14,000, the final amount (A) is BD 52,600, and the time (t) is 12 years. We need to solve for the annual interest rate (r).

\(BD 52,600 = BD 14,000(1 + r)^{12}\)

By rearranging the equation and solving for r, we find:

\((1 + r)^{12} = 52,600/14,000\)

Taking the twelfth root of both sides:

\(1 + r = (52,600/14,000)^{(1/12)}\\r = 0.1166 / 11.66 \%\)

Therefore, Areej has earned an annualized rate of approximately 11.66% on this investment.

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The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

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For the given integral ∫x10 e7x dx, the appropriate choices for u and dv to use integration by parts are u = x¹⁰ and dv = e⁷ˣ dx.

Integration by parts is a technique used to find the integral of a product of two functions.

The formula for integration by parts is given by:

∫ u dv = u v − ∫ v du

where u and v are functions of x and dv and du are their respective differentials.

To use integration by parts for the given integral, we need to identify u and dv.

We do this by using the acronym "ILATE", which stands for inverse trigonometric functions, logarithmic functions, algebraic functions, trigonometric functions, and exponential functions. In this case, we have:

U = x (algebraic function)

dv = x¹⁰ e dx (exponential function)

We choose u as x and dv as x10 e7x dx.

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The average population between year 1 and year 10 is approximately 55,555 people.

To find the average population between year X and year Y, we need to first calculate the total population increase over that time period. We can do this by subtracting the population in year X from the population in year Y.

Population increase = Population in year Y - Population in year X

Once we have the population increase, we can divide it by the number of years between X and Y to get the average annual population increase.

Average annual population increase = Population increase / (Y - X)

Finally, to find the average population between year X and year Y, we need to add the average annual population increase to the population in year X.

Average population = Population in year X + Average annual population increase

For example, if the population of a city is expected to be 100,000 people after 10 years, and we want to find the average population between year 1 and year 10, we would do the following:

Population in year 1 = X = 50,000 (let's say)
Population in year 10 = Y = 100,000
Population increase = 100,000 - 50,000 = 50,000
Number of years between X and Y = 10 - 1 = 9
Average annual population increase = 50,000 / 9 = 5,555.56 (rounded)
Average population = 50,000 + 5,555.56 = 55,555.56 (rounded)

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The average population of the city between the starting year and 10 years later is estimated to be 625,000.

The average population of a city between two specific years, we will need to use the formula for calculating the arithmetic mean.

The sum of all the values divided by the number of values.

We will need to sum up the populations of the city for each year between the two given years and divide the result by the number of years included.
Let us assume that the population of the city in the year we are starting with is "P1" and the population after "n" years is "P2".

Therefore, the average population can be calculated as:
\(Average Population = (P1 + P2) / 2\)
The exact population figures for each year between the two given years, we will have to use an estimated population growth rate to make the calculation.

We can use the formula:
\(P2 = P1 \times (1 + r)^n\)
where "r" is the estimated annual growth rate and "n" is the number of years between the two given years.
Let's assume that the population of the city in the starting year is 500,000 and the estimated population after 10 years is 750,000. Using the formula, we can calculate the estimated annual growth rate as:
\(r = (P2 / P1)^{(1/n)} - 1   = (750,000 / 500,000)^{(1/10)} - 1   = 0.0473 or 4.73\%\)
The estimated annual growth rate, we can calculate the average population between the two given years using the formula:
\(Average Population = (P1 + P2) / 2 = (500,000 + 750,000) / 2 = 625,000\)

It is important to note that this is just an estimate based on the assumed growth rate, and the actual population may vary from this calculation.

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Answer:

C. 20 x 4 = 1/5Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

4/20=.02 so its not A

1/5 divided by 4 is .05

So that leaves C

I hope this helps :)

To prove angle abd and angle cbd are congruent using a proof by contradiction, the assumption statement that starts the proof is Angle abd and angle cbd are not congruent.

Proof by contradiction is a technique used in logic and mathematics to verify the truth or validity of a claim by demonstrating how presuming the proposition to be incorrect results in a contradiction.

A proof by contradiction first starts with the negation, or opposite of the hypothesis.

In context of the problem, the proof by contradiction will start by the opposite . Since we are to prove that angle abd and angle cbd are congruent, the opposite is Angle abd and angle cbd are not congruent.

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Catori traveled for 7/2 hours at 15 mph and 4 hours at 4 mph.

Catori started biking to the mall at 15 mph and it took her x hours to travel y miles.

After x hours, her bike got a flat, so she had to walk the rest of the way. She walked at 4 mph, and it took her z hours to travel the remaining 72 miles to the mall.

Since the total trip to the mall took 7 hours, we can calculate that x + z = 7.

We can also calculate that y + 72 = 72.

Using these two equations, we can solve for x and z.

x + z = 7
y + 72 = 72

Subtract 72 from both sides of the second equation to get:

y = 0

Substitute 0 for y in the first equation to get:

x + z = 7

Solve for z:

z = 7 - x

Substitute 7 - x for z in the second equation to get:

y + (7 - x) = 72

Simplify the equation to get:

y = 72 - 7 + x

Substitute 72 - 7 + x for y in the first equation to get:

x + (7 - x) = 7

Simplify the equation to get:

2x = 7

Divide both sides of the equation by 2 to get:

x = 7/2

Substitute 7/2 for x in the equation y = 72 - 7 + x to get:

y = 72 - 7 + (7/2)

Simplify the equation to get:

y = 72 - (7/2)

Therefore, Catori traveled for 7/2 hours at 15 mph and 4 hours at 4 mph.

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Answer:

Do carrots y divided by the x

Step-by-step explanation:

The standard thermometer reads 50°C, the reading of the thermocouple is  0.3922.

To find the reading of the thermocouple when the standard thermometer reads 50°C substitute T = 50 into the equation e = 0.4T - e(T - 100). Let's calculate it:

e = 0.4(50) - e(50 - 100)

e = 20 - e(-50)

e = 20 + 50e

to solve this equation for e. Let's rearrange it:

50e + e = 20

51e = 20

e = 20/51 ≈ 0.3922

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Answer:

7

Step-by-step explanation:

42/ 6 = 7

Answer:

7

Step-by-step explanation:

43 is closest to 42. And 42/6 = 7. So the estimate would be 7

Answer:

70 - 20x = 60 - 15x

Solution:

x = 2

Step-by-step explanation:

The problem said to let x = number of pizzas purchased.

So at Josh's place 1 pizza is 20, 2 is 40, 3 is 60, etc. The mathy way to write is 20x... <<that's 20 times the number of pizzas. It tells us the dollar amount spent on pizzas. His gift card is $70. We'll subtract what he spends on pizzas from his total original amount 70.

70 - 2x

For Jessica, its the same logic, but her gift card is $60 and the pizzas are 15 each. Total spent on pizzas is 15x. Her balance will be

60 - 15x

The question wants us to find out when these to people have the same balance of their card.

70 - 20x = 60 - 15x

This is what is asked for in the question. Below is how to solve it (don't know if you need this)

minus 60 from both sides

10 - 20x = -15x

Add 20x to both sides.

10 = 5x

Divide by 5

2 = x

This means when Josh and Jess have each bought TWO pizzas, they will both have $30 left on each of their cards.

Answer: Every quadratic has a (single) y-intercept. The reason for this is that the y-intercept is the function value at x = 0, and we can always substitute x = 0 into the quadratic. Thus, the y-intercept of the quadratic function y = ax2 + bx + c is c.

Step-by-step explanation:

Answer:

The bottom 1

Step-by-step explanation:

the first dot is at (0,-3) which is the y-intercept

and the second dot is at x=2 and y=-1

(2,-1) y-int -3

Answer:

the answer is the last one

Answer: 4

Step-by-step explanation:

2+2=4

Answer:

2 + 2 = 4

Step-by-step explanation:

If u just started to learn how to sum, you can use sticks

II + II = IIII

Answer: Option D

Step-by-step explanation: Given: -2x + 14 + 10x = 34

-2x + 10x + 14 = 34

8x + 14 = 34

8x = 34 - 14

8x = 20

divide both sides by 8

8x/8 = 20/8

x = 5/2

Answer:

3

Step-by-step explanation:

Answer:

answer would be 3!

Step-by-step explanation:

view the problem, it could be adding or subtracting. your welcome! c: