Your camera determines the focal distance required for your picture to be in focus using the lens equation, 1−1=1, where the focal distance to the object from the lens(D)is related to the focal length (F)and the distance from the lens to the film (S).If an object is placed 8 cm from a lens with a focal length of 4 cm, how far from the lens is the image (film) formed?

Alex can make a total of 180 different sandwiches by choosing one kind of meat from 10 options and two kinds of cheese from 9 options.

To determine the number of different sandwiches Alex can make, we need to consider the combinations of meat and cheese. Since Alex can choose one kind of meat from 10 options, there are 10 choices for the meat component of the sandwich. For the cheese component, Alex can choose two kinds of cheese from 9 options.

To calculate the total number of combinations, we can use the formula for combinations without repetition. The formula is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of choices. In this case, n is 9 (number of cheese options) and r is 2 (number of cheese choices). Thus, the number of combinations of two kinds of cheese is \(9C2\)= 9! / (2!(9-2)!) = 36.

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Answer:

y = 75°

Step-by-step explanation:

y and 105°

are on a straight line ,

a straight line is 180°

180 - 105 = 75°

y=75 °

I'm not sure about x hope you understand

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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The number of reindeer in St. Elsewhere in 1920 will be approximately 475.

The growth rate of .12 indicates an annual increase of 12%, meaning that each year the number of reindeer will be multiplied by 1.12. To find the number of reindeer in 1920, we need to use this growth rate over the 20-year period from 1900 to 1920.
Starting with the initial 52 reindeer, we can multiply by 1.12 for each year. This gives us:
Year 1: 52 * 1.12 = 58.24
Year 2: 58.24 * 1.12 = 65.10
Year 3: 65.10 * 1.12 = 72.90
Year 4: 72.90 * 1.12 = 81.60
Year 5: 81.60 * 1.12 = 91.15
Year 6: 91.15 * 1.12 = 101.66
Year 7: 101.66 * 1.12 = 113.27
Year 8: 113.27 * 1.12 = 126.13
Year 9: 126.13 * 1.12 = 140.43
Year 10: 140.43 * 1.12 = 156.36
Year 11: 156.36 * 1.12 = 174.16
Year 12: 174.16 * 1.12 = 194.10
Year 13: 194.10 * 1.12 = 216.45
Year 14: 216.45 * 1.12 = 241.58
Year 15: 241.58 * 1.12 = 269.87
Year 16: 269.87 * 1.12 = 301.72
Year 17: 301.72 * 1.12 = 337.62
Year 18: 337.62 * 1.12 = 378.10
Year 19: 378.10 * 1.12 = 423.77
Year 20: 423.77 * 1.12 = 475.30
Therefore, the number of reindeer in St. Elsewhere in 1920 will be approximately 475.

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Answer:

Step-by-step explanation:

V=1/3 π 10²×9=300 π cm³

Answer:

300pi cm³

Step-by-step explanation:

Use the formula to find the volume of the cone: (pi)r²(h÷3)

Hope this helps :)

Answer:

1000 cubic metre

Step-by-step explanation:

hopes it help

Answer:

solution,

length=10 cm

volume=?

now,

volume of cube=l×l×l

=10×10×10

therefore,the answer is 1000 cubic centimeter

Answer:

Width x length

Step-by-step explanation:

Find the width or how wide it is

Then find the length or how long it is

multiply those

Step-by-step explanation:

We have

\((sc^2x-1)^2\)

Which is the same as

\((sc^2x-1)(sc^2x-1)\)

To expand this polynomial, we can use the FOIL method. Meaning that we multiply the Fronts, Outsides, Insides, and Lasts together and then add each of these products.

The two fronts are \(sc^2x\) and \(sc^2x\),

\((sc^2x )(sc^2x )=s^2c^4x^2\)

The two Outsides are \(sc^2x\) and \(-1\),

\((sc^2x )(-1)=-sc^2x\)

The two Insides are \(-1\) and \(sc^2x\),

\((-1)(sc^2x )=-sc^2x\)

The two lasts are \(-1\) and \(-1\),

\((-1)(-1)=1\)

Now we just need to add these together to get

\(s^2c^4x^2-sc^2x-sc^2x+1\\\\s^2c^4x^2-2sc^2x+1\)

Answer:

\(cot^{4} x\)

Step-by-step explanation:

Answer:

50 triangle equals 180

Step-by-step explanation:

Therefore, the 98% confidence interval for the true proportion of customers who click on ads on their smartphones is approximately (0.369, 0.531).

To compute the 98% confidence interval for the true proportion of customers who click on ads on their smartphones, we can use the formula for a confidence interval for a proportion.

Confidence Interval = Sample Proportion ± (Critical Value) * (Standard Error)

Given:

Sample Proportion (p) = 0.45

Sample Size (n) = 150

Confidence Level = 98%

To find the critical value, we can use a Z-table. For a 98% confidence level, the critical value is approximately 2.33.

The standard error is calculated using the formula:

Standard Error = √((p * (1 - p)) / n)

Plugging in the values, we have:

Standard Error = √((0.45 * (1 - 0.45)) / 150)

≈ 0.0363

Now we can calculate the confidence interval:

Confidence Interval = 0.45 ± (2.33 * 0.0363)

Calculating the upper and lower bounds of the confidence interval:

Upper bound = 0.45 + (2.33 * 0.0363)

≈ 0.531

Lower bound = 0.45 - (2.33 * 0.0363)

≈ 0.369

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Answer:

Step-by-step explanation:

1 pound = 16 ounces

35 pounds = 560 ounces + 24 ounce = 584ounces

35 pounds,24ounces = 16 ounces

Answer:

x^2 +2x + 3

Step-by-step explanation:

x^3 - x -6 / x-2

Step one - FACTOR x^3:

(x-2)(x^2+2x+3) / x-2

Step two - CANCEL the common factor of x-2

x^2+2x+3

Answer:

1

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

If x - 6 is a factor of f(x) then f(6) will be zero.

So we substitute x = 6 into the function:

f(6) = (6)^3 - 3(6)^2 + 2(6) - 8

= 216 - 108 + 12 - 8

= 112.

So f(6) is not zero and x - 6 is not a factor.

Answer:30%

Step-by-step explanation:

The temperature was 3 degrees colder in the afternoon.

Given the following temperature values

• Temperature of thermometer in the morning = -2°C.

• Temperature of thermometer in the evening = -5°C.

Find the change in temperature

Note that the lower the temperature, the colder it will be and the higher the temperature, the warmer.

Since the temperature in the afternoon is lower than the temperature in the morning, hence the temperature is colder in the afternoon.

Based on the explanations above we can conclude that the temperature was 3 degrees colder in the afternoon.

Answer:

use the line segment instead

The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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Answer:

2 hours and 24 minutes.

Answer:

7

Step-by-step explanation:

\(s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7\)

The three angle bisectors of a triangle are concurrent. Their point of concurrence is called the incenter.

The triangle's three angle bisectors are contemporaneous, which means they cross at the same place.

The incenter is the location where the angle bisectors coincide.

1. The circle's inscribed center is known as the incenter.

2. The incenter is equidistant from the triangle's sides.

More examples of agreement

The centroid is the location where all of a triangle's medians meet.

The triangle's circumcenter is where the perpendicular bisectors of its sides meet.

The intersection of the perpendiculars emanating from the vertices on the opposing sides of a triangle is known as the orthocentre.

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The expression equivalent to log18 – log(p +2) is \(\rm log \left ( \dfrac{18}{p+2} \right )\).

Which expression is equivalent to log18 – log(p +2)?

Equation; \(\rm log18 - log(p +2)\)

\(\rm log(x) - log(y) = log \left(\dfrac{x}{y} \right )\)

By applying the property in the given equation;

\(\rm = log18 - log(p +2)\\ \\ = log \left ( \dfrac{18}{p+2} \right )\)

Hence, the expression equivalent to log18 – log(p +2) is \(\rm log \left ( \dfrac{18}{p+2} \right )\).

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Answer:

Combine like terms so combine 2/3x and 1/3x. Since its addition you would add them together.

Answer:

x^2 - 2x - 13x + 26 = (x-2)(x-13)

Step-by-step explanation:

x^2 - 15x + 26 = x^2 - 2x - 13x + 26 = (x^2 - 2x) - (13x - 26)

= x(x-2) - 13(x-2) = (x-2)(x-13)

Answer:

I have just wrote answers

Answer:

36

Step-by-step explanation:

2 envelopes x 3 drawers = 6 envelopes.

Each envelope has six stickers.

6 x 6 = 36

Answer:

36

Step-by-step explanation:

Answer:

x = - 9

Step-by-step explanation:

Given g(x) = - x - 3 and g(x) = 6, then equate, that is

- x - 3 = 6 ( add 3 to both sides )

- x = 9 ( multiply both sides by - 1 )

x = - 9

Answer:

-9

Step-by-step explanation:

g(-6) = -6 - 3

g(-6) = -9

Answer:

63

Step-by-step explanation:

\(12+(0.60*63)=49.8\)

Answer:

63 or C

Step-by-step explanation:

Good Luck!