Solve.

23x+56=313

Enter your answer as a mixed number in simplest form in the box.

Scientists found an animal skull during an excavation and tested the amount of carbon -14 left in it. They found that 55 percent of the carbon-14 in the skull remained.

55% of the Carbon is left in the skull.

If A₀ was the original amount of Carbon, the amount of Carbon that is remaining will be 55% of A₀  which equals 0.55A₀

Using the given equation:

\(A = A_{o}e^{-0.000124t}\\\\ 0.55A_{o} = A_{o}e^{-0.000124t}\\ \\0.55 = e^{-0.000124t}\\\\In(0.55) = In(e^{-0.000124t})\\\\In(0.55) = -0.000124t*In(e)\\\\In(0.55) = -0.000124t\\\\\)

\(t = \frac{In(0.55)}{-0.000124} \\\\t = 4821\)

Rounding of to nearest year, we can conclude that the animal was buried 4821 years ago.

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Answer:

about 14 or 14.3 to be more specific

Step-by-step explanation:

Step-by-step explanation:

here is the my estimation for this is is 14.43

Answer:

its 1

Step-by-step explanation:

Answer: B. 70

Step-by-step explanation:

i actually can't tell but i think this is right

Answer:

1025437

Step-by-step explanation:

1000000+25437=1025437

Answer:

1025437

Step-by-step explanation:

hope it helps, please mark as brainliest

Answer:

ax2+bx+c

Step-by-step explanation:

A-2

B-3

C-1

Answer:

A = 2, B = 3. C = 1

Step-by-step explanation:

A, B, and C correspond to the coefficients of the terms. (ax² + bx + c)

Therefore:

A = 2

B = 3

C = 1

Answer:

complete solution at jemrare dot com

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct option is “C” protesters were driven out by force.

This is after President Hoover ordered an army regiment into the city to quash their protests.  Under the leadership of General Douglas MacArthur, the army, rolled into Anacostia Flats forcing the Bonus Army to flee

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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Answer:

7<√56<8

(7)^2<(√56)^2<(8)^2

49<56<64

so √56 makes the inequality true

As the y variable tends to increase when the x variable increases, we say the variables have a positive correlation. When the y variable tends to decrease as the x variable rises, we say there is a negative correlation between the variables.

A graph is a visual representation or diagram that displays facts or values in an organized manner in mathematics.

The points on a graph are typically used to depict the relationships between two or more things.

Making a diagram that shows the link between two or more objects is known as developing a graph.

Scatterplots frequently reveal relationships or trends.

We say there is a positive correlation between the variables when the y variable tends to rise when the x variable rises.

We say there is a negative correlation between the variables when the y variable tends to decline as the x variable rises.

Therefore, a y variable tends to increase when the x variable increases, we say the variables have a positive correlation. When the y variable tends to decrease as the x variable rises, we say there is a negative correlation between the variables.

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The value of the iterated integral using polar coordinates is π.

What is Polar Coordinates?

a polar coordinate system is a two-dimensional coordinate system in which each point in a plane is specified by a distance from a reference point and an angle from a reference direction. The reference point is called the pole, and the ray from the pole in the reference direction is the polar axis.

To evaluate the iterated integral ∫∫ e^(-x^2 - y^2) dy dx using polar coordinates, we need to convert the Cartesian coordinates (x, y) to polar coordinates (r, θ).

In polar coordinates, x = r cos(θ) and y = r sin(θ), where r represents the distance from the origin and θ represents the angle with the positive x-axis.

To convert the integral limits, we consider the region of integration. Since no limits are provided in your question, let's assume the integral is over the entire xy-plane.

In Cartesian coordinates, the entire xy-plane covers the range -∞ to +∞ for both x and y. In polar coordinates, this corresponds to the entire range of r from 0 to ∞ and the entire range of θ from 0 to 2π.

The Jacobian determinant for the conversion from Cartesian to polar coordinates is r, so we have dy dx = r dr dθ.

Now, let's express the integrand e^(-x^2 - y^2) in terms of polar coordinates:

e^(-x^2 - y^2) = e^(-(r cos(θ))^2 - (r sin(θ))^2)

= e^(-r^2(cos^2(θ) + sin^2(θ)))

= e^(-r^2)

Substituting the variables and the Jacobian into the original integral, we get:

∫∫ e^(-x^2 - y^2) dy dx

= ∫[0 to 2π] ∫[0 to ∞] e^(-r^2) (r dr) dθ

Now, we can evaluate this integral using polar coordinates. The inner integral with respect to r is a standard integral:

∫[0 to 2π] ∫[0 to ∞] e^(-r^2) (r dr) dθ

= ∫[0 to 2π] (-1/2) e^(-r^2) ∣∣[0 to ∞] dθ

= ∫[0 to 2π] (-1/2) (e^(-∞^2) - e^(0^2)) dθ

= ∫[0 to 2π] (-1/2) (0 - 1) dθ

= ∫[0 to 2π] (1/2) dθ

= (1/2) θ ∣∣[0 to 2π]

= (1/2) (2π - 0)

= π

Therefore, the value of the iterated integral using polar coordinates is π.

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Answer:

D.$50

Step-by-step explanation:

Ten percent of 50 gives 5 dollars. 50 plus 5 is 55.

Answer:

The answer is D, $50

Step-by-step explanation:

10% of 50 gives 5 dollars.

50 + 5 = 55.

Hope this Helped! Have a GOOD DAY!!!!!!!!!!

a. The expression for the number of bacteria after t hours is given by N(t) = 500 x \(2^{t/3}\). b. The number of bacteria present after 4 hours is N(4) = 500 x \(2^{4/3}\) = 5,000. c. And the time when the population will reach 30,000 bacteria is t = 3 + 3×log2(30), which is approximately 16.94 hours.

we can use the given information to set up an exponential growth model for the bacteria population. We know that the initial population is 500 and that after 3 hours, the population has grown to 8,000. Using the formula for exponential growth, N(t) = N0 x \(e^{kt}\), where N0 is the initial population, k is the growth rate, and t is time, we can solve for k and then use it to find N(t) for any time t.

First, we can use the information given to find k. We know that N(0) = 500 and N(3) = 8,000, so we can set up the following equation: 8,000 = 500 x \(e^{3k}\)). Solving for k, we get k = ln(16)/3.

Using this value of k, we can find N(t) for any time t using the formula N(t) = 500 x \(e^{((ln(16)/3) t) }\). Simplifying, we get N(t) = 500 x 2^(t/3), which gives us the expression for the number of bacteria after t hours.

To find the number of bacteria present after 4 hours, we simply plug t = 4 into the expression for N(t) and get N(4) = 500 x \(2^{4/3}\) = 5,000.

Finally, to find the time when the population will reach 30,000 bacteria, we set N(t) = 30,000 and solve for t. This gives us 30,000 = 500 x 2^(t/3), which simplifies to \(2^{t/3}\) = 60. Solving for t, we get t = 3 + 3×log2(30), which is approximately 16.94 hours.

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Answer:

D)  10x-20

Step-by-step explanation:

P = 2w + 2l

= 2(2x-8) + 2(3x-2)

= 4x-16 + 6x-4

= 10x-20

A histogram would be best to use to display this data.

A histogram is a type of graph that displays the distribution of continuous data.

It is a bar graph-like representation of data that buckets a range of outcomes into columns along the x-axis.

The y-axis represents the number of occurrences in the data for each column.

This would be ideal for displaying the distribution of heights of 100 different acacia trees.

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The direction of Beatriz relative to the starting point of her trip is approximately \(278.806^{\circ}\).

After a careful reading of the statement, we find that final position (\(\vec r\)) by the end of the second day is found by means of this vector sum:

\(\vec r = \vec r_{1} + \vec r_{2}\) (1)

Where:

If we know that \(\vec r_{1} = (200\,km \cdot \cos 300^{\circ}, 200\,km\cdot \sin 300^{\circ})\) and \(\vec r_{2} = (150\,km\cdot \cos 250^{\circ}, 150\,km\cdot \sin 250^{\circ})\), then final position of Beatriz relative to origin is:

\(\vec r = (200\,km\cdot \cos 300^{\circ}, 200\,km\cdot \sin 300^{\circ})+(150\,km \cdot \cos 250^{\circ}, 150\,km\cdot \sin 250^{\circ})\)

\(\vec r = (48.670, -314.159)\,[km]\)

And the direction relative to the starting point (\(\theta\)), in degrees, is found by following inverse trigonometric relation:

\(\theta = \tan^{-1} \frac{r_{y}}{r_{x}}\) (2)

If we know that \(r_{x} = 48.670\,km\) and \(r_{y} = -314.159\,km\), then the direction of Beatriz relative to the starting point of her trip is:

\(\theta = \tan^{-1} \left(\frac{-314.159\,km}{48.670\,km} \right)\)

\(\theta \approx 278.806^{\circ}\)

The direction of Beatriz relative to the starting point of her trip is approximately \(278.806^{\circ}\). \(\blacksquare\)

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Answer:

x - 1 / 2 = 1 / 4

x - 1 / 2 = - 3 / 4

Step-by-step explanation:

Answer:

x - 1 / 2 = 1 / 4

x - 1 / 2 = - 3 / 4

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:D

Step-by-step explanation:

Answer:

832,000

Step-by-step explanation:

Answer:

a) Both slopes are 4

b) The function g(x) has a greater y-intercept

Step-by-step explanation:

a) To find the slope of the function g(x), simply look at the coefficient (the number before the variable x). In this case, the coefficient is 4, so your slope is 4. This is because the equation is in slope-intercept form: y = mx + b where m is the slope.

To find the slope of function f(x), take two y-coordinates (y-coordinates are found in the column f(x)) and subtract one from another. This is your rise. Then, take two x-coordinates (from column x) and subtract one from another. This is your run. Divide the rise by the run, and you have your slope. In this case, you should get 4/1, or 4.

b) To find the y-intercept for function g(x), take a look at slope-intercept form again: y = mx + b, where b represents the y-intercept. So, the "b" of g(x) = 4x + 3 is 3. Your y-intercept is 3.

To find the y-intercept of function f(x), locate the row where there is a zero under column x. In this case, it's the second row. The number -1 is your y-coordinate when x is zero. Your y-intercept is -1.

-1 is less than 3, so the y-intercept of function g(x) is greater.

Hope this helps!

The exact product of 65 and 1.85 without rounding off is 120.25.

The exact product of 65 and 1.85 can be found by performing multiplication without rounding off the given numbers.

To calculate the product, we multiply the whole numbers and the decimal parts separately.

First, we multiply the whole numbers: 65 x 1 = 65.

Next, we multiply the decimal parts: 65 x 0.85 = 55.25.

Now, we add the product of the whole numbers and the product of the decimal parts: 65 + 55.25 = 120.25.

Therefore, the exact product of 65 and 1.85 without rounding off is 120.25.

In summary, to find the exact product of 65 and 1.85 without rounding off, we multiply the whole numbers and the decimal parts separately, and then add the results.

The result is 120.25.

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Descriptions of the setting in the article about the 1972 Andes flight disaster contribute to the central ideas by creating a sense of isolation, harsh conditions, and the immense challenges faced by the survivors. These descriptions help emphasize the themes of resilience, survival, and the human capacity to endure extreme circumstances.

In the article about the 1972 Andes flight disaster, descriptions of the setting play a crucial role in conveying the central ideas. The article highlights the desolate and remote nature of the crash site, situated in the harsh and unforgiving Andes Mountains. The descriptions of the snow-covered peaks, freezing temperatures, and vast stretches of uninhabited land contribute to a sense of isolation and the immense challenges faced by the survivors.

These descriptions emphasize the themes of resilience and survival, as the survivors are portrayed as being stranded in a hostile environment with limited resources. The setting also underscores the human capacity to endure extreme circumstances, as the survivors are forced to navigate treacherous terrain, harsh weather conditions, and the constant threat of avalanches.

By vividly describing the setting, the article immerses readers in the harsh realities faced by the survivors, evoking a sense of empathy and awe for their ability to persevere. The descriptions contribute to the central ideas of the article by highlighting the extraordinary circumstances and emphasizing the indomitable human spirit in the face of adversity.

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what do you mean by that?

Yes. \(f(x)\) is a PDF if

• \(f(x) \ge 0\) for all \(x\) in the support; this is true, since \(e^{-x}>0\) for all \(x\), and multiplying a positive number \(x\) doesn't change this fact;

• the integral of \(f(x)\) over its support is 1; this is also true, since

\(\displaystyle \int_{-\infty}^\infty f(x) \, dx = \int_0^\infty xe^{-x} \, dx = 1\)

which can be computed by parts.

Answer:

\(f=\frac{3}{5}\)

Step-by-step explanation:

\(-2(4f+5)=-7+2f-9\)

First, use PEMDAS to distribute the -2 to the parenthesis.

\(-8f -10 = -7+2f -9\)

Combine like terms on the right side.

\(-8f - 10 = -16+2f\)

Now, you may either subtract the f's or the constants. I'll subtract the constants first, meaning I will add 10 to both sides.

\(-8f = -6 + 2f\)

Now subtract the 2f from both sides.

\(-10f = -6\)

Divide both sides by 10.

\(f = \frac{-6}{-10}\)

Simplify.

\(f = \frac{3}{5}\)

Answer:

The value of f:

Step-by-step explanation:

Given the expression

\(-2\left(-4f+5\right)=-7+2f-9\)

Group like terms

\(-2\left(-4f+5\right)=2f-7-9\)

Subtract the numbers: -7-9=-16

\(-2\left(-4f+5\right)=2f-16\)

Expand:  -2(-4f + 5) = 8f - 10

\(8f-10=2f-16\)

Add 10 to both sides

\(8f-10+10=2f-16+10\)

Simplify

\(8f=2f-6\)

Subtract 2f from both sides

\(8f-2f=2f-6-2f\)

Simplify

\(6f=-6\)

Divide both sides by 6

\(\frac{6f}{6}=\frac{-6}{6}\)

Simplify

\(f=-1\)

Therefore, the value of f:

The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

For the sampling distribution of a sample percentage drawn from a population with a true proportion of 0.325, two simulations will be run.

1500 trials will make up Simulation A, with a 100-person sample.

2000 trials with a sample size of 50 will make up Simulation B.

The centers for Simulations A and B will be almost equal.

For Simulation A, the total sample size will be

15000*100=1500000

For Simulation B, the total sample size will be

2000*50=100000

As a result, Simulation A's sample size is larger than Simulation B's sample size, and Simulation A's variability will be lower than Simulation B's variability.

As a result, choice c) is accurate.

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