Diamonds have a density of 3.5 g/cm3. How big is a diamond that has a mass of 0.10 g?

Formula for the Slope: (y2 - y1) / (x2 - x1)

You can use any two points to find the slope, as long as those two points are on the line.

Point 1 = (-2, 8)

Point 2 = (0, 0)

Slope = (0 - 8) / (0 - - 2)

Slope = -8 / 2

Slope = -4

Hope this helps!

Answer:

-4

Step-by-step explanation:

The formula to find the slope is (change in y)/(change in x). In other words, rise over run.

If we look at the data, we can see that the x and y value changes.

x value: -3 --> -2 --> -1 --> 0 --> 1

y value: 12 --> 8 --> 4 --> 0 --> -4

When y changed from 12 to 8, the x changed from -3 to -2.

y: 12 --> 8

x: -3 --> -2

There was a difference of -4 in the y and a difference of 1 in the x.

At the top, I wrote that the slope was (change in y)/(change in x)

With -4 and 1 we found, we can say that the slope is -4/1.

If we simplify this answer, we end up with -4.

So -4 is the slope of the data.

Answer:

.26

P(C) = .6*.3   + .4 *.2

      = .18+.08

     = .26

Step-by-step explanation:

Answer:

The equation: 6 + 0.5x = 2 + 1x

How many hours till the cost is the same: 8 hours

What will the cost be: $10

Step-by-step explanation:

6 + 0.5x = 2 + 1x

subtract 0.5x from both sides

6 = 2 + 0.5x

subtract 2 from both sides

4 = 0.5x

divide both sides by 0.5

x = 8

Lets check our work:

Garage A:

6 + 0.5(8)

6 + 4 = 10

Garage B:

2 + 1(8)

2 + 8 = 10

After 8 hours the price for both garages will be equal at $10

Answer:

5

Step-by-step explanation:

15/3 - 4/3 = 11/3

15/3 = 5

The difference of a number 5 and 4/ 3 is 11/3.

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Given that, the difference of a number and 4/ 3 is 11/3.

Let the unknown number be x.

Here, x-4/3 =11/3

x= 11/3+4/3 (Transpose 4/3 to RHS of the equation)

To add like fractions, add the numerators and keep the denominator same. That is

x= 15/3

x=5

Therefore, the unknown number is 5.

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Answer: its D

Step-by-step explanation:

i know everything

Answer: 1 tablespoon

Step-by-step explanation:

The given charge density distribution, described as nonuniform but spherically symmetric, can be expressed as follows:

For r ≤ r:

ρ(r) = ρ0(1 - r/r)

For r ≥ r:

ρ(r) = 0

Here, ρ0 is a positive constant and represents the charge density at the origin (r = 0). The charge density decreases as r increases.

It's worth noting that there seems to be an error in the second equation you provided. The correct equation should be ρ(r) = 0 for r ≥ r. The charge density is zero for all values of r greater than or equal to r.

This distribution represents a charge density that is maximum at the origin (r = 0) and decreases as we move away from the origin. The charge density becomes zero when r is equal to or greater than r.

It's important to note that the charge density ρ(r) is only defined for r ≤ r and is zero for r ≥ r.

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The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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Answer:

5400 cycles

Step-by-step explanation:

You have the following function:

\(V(t)=220sin(180\pi t)\)

where t is in seconds.

In order to find the number of cycles in 1 minute, you first  calculate the frequency of the function, which is given by:

\(f=\frac{180\pi}{2\pi}=90s^{-1}\)

The number of cycles is then given by:

\(n=ft=(90s^{-1})(60s)=5400\ cycles\)

There are 5400 cycles in 1 minute

Answer:

=3x³+2x²−27x−18

Step-by-step explanation:

(x+3)(x−3)(3x+2)

=((x+3)(x−3))(3x+2)

=((x+3)(x−3))(3x)+((x+3)(x−3))(2)

=3x³−27x+2x²−18

=3x³+2x²−27x−18

Answer:

There is no photo

Step-by-step explanation:

but the least numbers should not have a whole number unless there is many like it and the greatest should have larger numbers for example

0.1 < 0.2 because 2 is larger than 1 :) !!! i hope this helps you , you probably just forgot to add a photo but we all make mistakes and forget

The solution x1(t) for the de-coupled RL-RC circuit can be found by solving the differential equation x1'(t) = A11 * x1(t), where A11 is a constant value.

To solve this differential equation, we can use separation of variables.

1. Begin by separating the variables by moving all terms involving x1(t) to one side of the equation and all terms involving t to the other side. This gives us:

x1'(t) / x1(t) = A11

2. Integrate both sides of the equation with respect to t:

∫ (x1'(t) / x1(t)) dt = ∫ A11 dt

3. On the left side, we have the integral of the derivative of x1(t) with respect to t, which is ln|x1(t)|. On the right side, we have A11 * t + C, where C is the constant of integration.

So the equation becomes:

ln|x1(t)| = A11 * t + C

4. To solve for x1(t), we can exponentiate both sides of the equation:

|x1(t)| = exp(A11 * t + C)

5. Taking the absolute value of x1(t) allows for both positive and negative solutions. To remove the absolute value, we consider two cases:

  - If x1(0) > 0, then x1(t) = exp(A11 * t + C)
  - If x1(0) < 0, then x1(t) = -exp(A11 * t + C)

  Here, x1(0) is denoted as x10.

Therefore, the solution x1(t) for the de-coupled RL-RC circuit, starting at t=0, is given by either x1(t) = exp(A11 * t + C) or x1(t) = -exp(A11 * t + C), depending on the initial condition x10.

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The line of the  best fit for the data points plotted in the scatter plot is y = -0.88x + 8

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

The graph

Using the line of the best fit, we have"

(x, y) = (8, 1) and (0, 8)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 8

Using the points, we have

1 = 8m + 8

This gives

m = -0.88

So, we have

y = -0.88x + 8

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Answer:

here man let me is 1 im sure the answer is =((1))

Step-by-step explanation:

6^(-3 * 10^(-10 * 27 * 25 / 5^(-8 * 3^(4 * 2^-3))))

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer: 62 degrees

Step-by-step explanation:

.130-180=50

.16x+4+14x+6+50=180

.180-4-6-50=120

.16x+14x=120

.30x=120

.x=4

.14(4)+6

.56+6

.62

Answer:

I highlighted the answer for you hun!

Step-by-step explanation:

The polynomial and the factored expression that match with each other are given below:

\(X^2 - 4x - 12 : (x - 6)(x + 2)2x^2 + 5x - 12 : (2x + 3)(x - 4)3x^2 -9x- 12 : (x - 4)(3x + 1)\)

Explanation:

To solve the given problem, we need to factorize the given polynomials first. Then, we can match them with the given factored expressions. To factorize each of the given polynomials:

Polynomial \(1: X^2 - 4x - 12\)

Factorizing the given polynomial:  We need to find the factors of -12 which add up to -4.-6 and 2 are the factors of -12 and add up to -4.

Hence,\(X^2 - 4x - 12 = (x - 6)(x + 2)\)

Polynomial \(2: 2x^2 + 5x - 12\)

Factorizing the given polynomial: We need to find the factors of 2 × -12 = -24 which add up to 5.-3 and 8 are the factors of -24 and add up to 5.

Hence, \(2x^2 + 5x - 12 = (2x + 3)(x - 4)\)

Polynomial \(3: 3x^2 - 9x - 12\)

Factorizing the given polynomial: We can factor 3 out from the given polynomial. \(3(x^2 - 3x - 4) = 3(x - 4)(x + 1)\)

Hence, \(3x^2 - 9x - 12 = (x - 4)(3x + 1)\)

Therefore, the polynomial and the factored expression that match with each other are:

\(X^2 - 4x - 12 : (x - 6)(x + 2)2x^2 + 5x - 12 : (2x + 3)(x - 4)3x^2 -9x- 12 : (x - 4)(3x + 1).\)

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The distance between the zoo and library is 600 feet, as seen with the help of concept of applications of trigonometry.

Given: height of helicopter = 300√3 feet from the ground.

To find: Distance between zoo and library.

Finding:

(Refer to the image attached.)

Let the distance from the plane to the zoo and library be d1 and d2 respectively.

Then, with the help of concepts of applications of trigonometry,

\(tan(60) = \frac{300\sqrt{3}}{d1}\)

=> \(\sqrt{3}=\frac{300\sqrt{3}}{d1}\)

=> d1 = 300 feet

\(tan(30) = \frac{300\sqrt{3}}{d2}\)

=> \(\frac{1}{\sqrt{3}}=\frac{300\sqrt{3}}{d2}\)

=> d2 = 300 (3) = 900 feet

The distance between zoo and library = d2 - d1 = 900 - 300 = 600 feet.

Hence, the distance between the zoo and library is 600 feet, as seen with the help of concept of applications of trigonometry.

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Answer:

Jimmy Choo, with a handbag too, red or baby blue?

She gets to smilin' she ain't used to this, 'cause she ain't use to ***

I'm just laughin', could've been a pimp the way I move my lips

Step-by-step explanation:

Answer:

that sad i very upset

Step-by-step explanation:

7 days would the skier have to go skiing in order to make the season pass less expensive than the daily​ passes.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. Every mathematical equation begins with L.H.S = R.H.S.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Let s be the cost of skiing per day.

So,  the season pass plus ski rentals equates to daily skiing plus ski rentals

450 + 20s = 64s + 20s

450 = 64s

7.03 ≈ s

Hence, 7 days would the skier have to go skiing in order to make the season pass less expensive than the daily​ passes.

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The ratio of water, sucrose, and saline solution needed is 1000:199:271 in its simplest form.

The amount of water, sucrose, and the saline solution used can be expressed as a ratio in its simplest form by finding the greatest common divisor (GCD) of the three quantities and dividing each by it.

1l of water = 1000 ml of water.

Let's find the GCD of the three quantities:

GCD(199,271,1000) = 1

So we can express the amount of water, sucrose, and saline solution needed as a ratio in its simplest form by dividing each of the three quantities by 1

Water : Sucrose : Saline solution = 1000 : 199/1 : 271/1 = 1000:199:271

Hence, the ratio of water, sucrose, and saline solution needed is 1000:199:271 in its simplest form.

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It is predicted that there will be approximately 122 thousand keylogging programs reported in 2014.

To predict the number of keylogging programs that will be reported in 2014, we can use the given information about the growth rate of keylogging programs from 2000 to 2005.

The data indicates that the number of keylogging programs grew approximately exponentially from 0.4 thousand programs in 2000 to 13.0 thousand programs in 2005.

To estimate the number of keylogging programs in 2014, we can assume that the exponential growth trend continued during the period from 2005 to 2014.

We can use the exponential growth formula:

N(t) = \(N0 \times e^{(kt)\)

Where:

N(t) represents the number of keylogging programs at time t

N0 is the initial number of keylogging programs (in 2000)

k is the growth rate constant

t is the time elapsed (in years)

To find the growth rate constant (k), we can use the data given for the years 2000 and 2005:

N(2005) = N0 × \(e^{(k \times 5)\)

13.0 = 0.4 × \(e^{(k \times 5)\)

Dividing both sides by 0.4:

\(e^{(k \times 5)\) = 32.5

Taking the natural logarithm (ln) of both sides:

k × 5 = ln(32.5)

k = ln(32.5) / 5

≈ 0.4082

Now, we can use this growth rate constant to predict the number of keylogging programs in 2014:

N(2014) = N0 × \(e^{(k \times 14)\)

N(2014) = 0.4 × \(e^{(0.4082 14)\)

Using a calculator, we can calculate:

N(2014) ≈ \(0.4 \times e^{5.715\)

≈ 0.4 × 305.28

≈ 122.112

Rounding to the nearest integer:

N(2014) ≈ 122

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The value of length of AC is,

⇒ AC = 8.25

We have to given that;

CD = 6.6 cm, DE = 3.4 cm, CE = 4.2 cm, and BC = 5.25 cm

Now, We can formulate;

BC / AC = EC / CD

Substitute the values we get;

5.25 / AC = 4.2 / 6.6

Solve for AC;

5.25 x 6.6 / 4.2 = AC

AC = 8.25

Thus, The value of length of AC is,

⇒ AC = 8.25

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The equation that can be used to find the speed of the current, c, in miles per hour is 3(15 - c) = 2(15 + c). The boat's speed when going upstream can be given by⇒ the speed in calm water - the speed of the current. Similarly, the boat's speed when going downstream can be given by⇒ the speed in calm water + the speed of the current.

To explain this equation:
- The boat's speed in calm water is given as 15 mph.
- When traveling upstream (against the current), the boat takes 3 hours to travel a certain distance.
- When traveling downstream (with the current), the boat takes 2 hours to travel the same distance.
- The speed of the current affects the boat's overall speed, so we need to find the value of c.

Distance traveled by the boat upstream = speed x time = (15-c) x 3

Distance traveled by the boat downstream = speed x time = (15+c) x 2

We know that both the distances are same.
So ⇒ 3(15 - c) = 2(15 + c)

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Answer: The answer is m^2

Step-by-step explanation:

Answer:

The First one is the answer

Answer:

idek

Step-by-step explanation:

Answer:

9$

Step-by-step explanation: