how big is the aperture in a 35-mm lens set to a stop of f/2?

Answer:

The solution fo the inequality x < -3 will be {-83, -6, -4, -3.5}. Then the correct option is C.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

x < -3

The value of the variable 'x' should be less than negative 3.

In option A, zero is greater than -3. So, option A is incorrect.

In option B, 1 is greater than -3. So, option B is incorrect.

In option D, -3 is equal to -3. So, option D is incorrect.

The arrangement of the imbalance x < - 3 will be {-83, - 6, - 4, - 3.5}. Then, at that point, the right choice is C.

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Step-by-step explanation:

The period of the function based on the information will be D. 2π.

The period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle.

One cycle of the sine curve's length is referred to as its period. The period of the function is the minimum value of the dependent variable x after which the function will repeat itself.

f(x + k) = f(x).

-2sin(k + x) + 2 = 2sinx + 1

sin(k + x) = sin(2π + x)

k + x = 2π + x

k = 2π

The period is 2π.

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The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, 2π].

Angle 0 pi over 6 pi over 2 5 pi over 6 3 times pi over 2 2π

f (x) 1 0 –1 0 3 1

What is the period of the function?

A) 2 times pi over 3

B) pi over 2

C) π

D) 2π

The competing company's claims suggest that they are using a Normal model with a mean of 39 months and a standard deviation of 6 months. This means that 90% of their printers last at least 36 months and 65% last at least 42 months.

This is because the Normal model is symmetrical, meaning that the same percentage of printers last more than the mean as less than the mean. Therefore, the parameters of the Normal model are mean = 39 months and standard deviation = 6 months.

Normal model parameters describe the distribution of a random variable that follows a normal or Gaussian distribution. The parameters of a normal model are the mean, which is the average value of the random variable, and the standard deviation, which is a measure of the spread of the distribution.

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Answer:

-26.25 - 15.5x = -15.5x - 11.78

collect the like term

-15.5x + 15.5x = -11.78 + 26.25

= 14.48

Answer:

no solution

Step-by-step explanation:

- 5(5.25 + 3.1x) = - 6.2(2.5x + 1.9) ← distribute parenthesis on both sides

- 26.25 - 15.5x = - 15.5x - 11.78 ( add 26.25 to both sides )

- 15.5x = - 15.5x + 14.47 ( add 15.5x to both sides )

0 = 14.47 ← False

this false statement indicates the equation has no solution

Answer:

The length of the ramp can be found using the tangent function:

tan(21°) = height/length

length = height / tan(21°)

length = 16 inches / tan(21°)

Note: make sure to convert the height from inches to the same unit used in the tangent function, usually radians.

The data-set in this problem is given by the stem-and-leaf plot, which shows each observation in the problem.

Hence each observation is given as follows:

32, 34, 40, 43, 44, 47,48, 49, 49, 49, 50, 51, 51, 52, 53, 54, 55, 70, 71, 92

The data-set has 20 elements, which is an even cardinality, hence the median is the mean of the two middle elements, the 10th and the 11th, as follows:

Median = (50 + 51)/2 = 50.5.

The mean of the data-set is given by the sum of all observations divided by the number of observations, hence:

Mean = (32 + 34 + 40 + 43 + 44 + 47 + 48 + 3 x 49 + 50 + 2 x 51 + 52 + 53 + 54 + 55 + 70 + 71 + 92)/20

Mean = 51.7.

The problem is given by the image presented at the end of the answer.

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The equation for the given scenario is -1.5+1.5 =0.

Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.

Given that, the temperature in a city is -1.5° C

Now,

The temperature needs to rise -1.5° C to reach 0° C.

Then, the equation is

-1.5+1.5 =0

0 = 0

Therefore, the equation is -1.5+1.5 =0.

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The amount of time that Micah spent practicing changed from 50 minutes on Monday to 90 minutes on Wednesday, which is an increase of 40 minutes.

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Answer:80% trust bro

Step-by-step explanation:

Answer:

Evaluate g(f (x)) g ( f ( x)) by substituting in the value of f f into g g. Combine the opposite terms in (x− 2)+2 ( x - 2) + 2

Step-by-step explanation:

if that helps

Answer:

The value of o is 0.13.

Step-by-step explanation:

Observing the options we see that the graph the corresponds to the given coordinates is option B. The function is increasing in the function (1, infinity).

What is first derivative of a function?

The rate of change of one variable with respect to another variable is represented by a function's first order derivative. For instance, in physics, we define a body's velocity as the rate at which its location changes in relation to time.

Given that the function is: f(x) = √x -1.

Substitute the value of x = 1:

f(x) = √ 1 -1

f(x) = 0

The first coordinate is (1, 0).

Substitute the value of f(x) = 0:

f(x) = √ x -1

0 = x -1

x = 1

The second coordinate is (1, 0).

Observing the options we see that the graph the corresponds to the given coordinates is option B.

a. Find the first derivative of the equation f(x) = √x -1.

f'(x) = (1/2)(x - 1)^(1/2)

Equate the value to 0:

(1/2)(x - 1)^(1/2)  = 0

x - 1 = 0

x = 1

Hence, the function is increasing in the function (1, infinity).

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The Three V's of Big Data are Volume, Velocity, and Variety. While "Volume" is an important characteristic of big data, it is not considered one of the Three V's because it is not unique to big data. So option (4) is correct.

There are many other characteristics of big data that have been proposed, but the Three V's are the most widely recognized and used

The "Three V's of Big Data" is a well-known concept that refers to the defining characteristics of big data. These three V's are Volume, Velocity, and Variety. They describe the main challenges that organizations face when dealing with big data, and how they can be overcome.

A common misconception is that there are only three V's of big data, but in reality, there are more than three. Some additional V's that have been proposed include Veracity, Value, Variability, and others.

However, there is one common concept that is often mentioned in discussions of big data, but is not considered one of the V's. This concept is "Volume." While "Volume" is certainly a key characteristic of big data, it is not considered one of the Three V's because it is not unique to big data. All types of data, whether big or small, can be large in volume.

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Complete Question:

which is not one of the three v's of big data?

Answer:

B

Step-by-step explanation:

First you are going to have to solve for one of the variables in the terms of the other two. The easiest one of these to start with is x.

If you take the first equation, x+4y-5z=-6 and solve for x you get

x=5z-4y-6

Now you can plug that into another equation and solve for another one of the variables. Lets use equation #2. Plugging in the definition of x into the equation you get;

(5z-4y-6)+4y-4z=-2

Simplify

z-6=-2

Conveniently, the y terms cancelled out. And therefore we know

z=4

(From there, we can determine that B is the right answer because it is the only one that gives z=4. I will walk you through the rest of the answer though)

Taking our new value of z, we can pug that value into our original x equation yielding;

x=20-4y-6

simplify

x=14-4y

Using this information, we can plug it into equation #3

(14-4y)+5y-16=1

simplify

y-2=1

solve

y=3

Now we just plug the new values of y and z into the first equation to get the value of x.

x+12-20=-6

simplify

x-8=-6

solve

x=2

Therefore;

x=2

y=3

z=4

No, (x - 2) is not a factor of f(x) = x³ - 2x² + 2x + 3.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ f (x) = x³ - 2x² + 2x + 3

And, The factor is (x - 2)

Now, If (x - 2) is factor of function then x = 2 satisfy the function.

Hence, We can check as,

⇒ f (x) = x³ - 2x² + 2x + 3

Put x = 2

⇒ f (2) = 2³ - 2 (2)² + 2 × 2 + 3

⇒ f (2) = 8 - 8 + 4 + 3

⇒ f (2) = 7 ≠ 0

Hence, (x - 2) is not a factor of f(x) = x³ - 2x² + 2x + 3.

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to get the equation of any straight line, we simply need two points off of it, let's use the provided values

[tex]\begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{years}&\stackrel{y}{value}\\ \cline{1-2} 3&15000\\ 5&11000\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{3}~,~\stackrel{y_1}{15000})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{11000})[/tex]

[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{11000}-\stackrel{y1}{15000}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{ -4000 }{ 2 } \implies - 2000 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{15000}=\stackrel{m}{- 2000}(x-\stackrel{x_1}{3})[/tex]

[tex]y-15000=-2000x+6000\implies {\Large \begin{array}{llll} y=-2000x+21000 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{after 8 years, x = 8}}{y = -2000(8)+21000}\implies \boxed{y=5000}[/tex]

The above answer is better

The surface areas of the regular solids are;

1. a. 150 ft²

b. 216 ft²

c. 894 mm²

2. a. 118 square units

b. 892 in²

3. a. 576·π square units

b. 1024·π square units

c. 100·π square units

4. a. 216·π square units

b. 48·π square units

c. 48·π square units

5. To complete the task, two circles of 1 ft radius should be cut from the carpet, followed by cutting a rectangular shape of width 4 ft and length of 2·π ft

The surface area of a solid is the sum of the areas that form a boundary around the outer part of the solid.

1 The surface area of a cube is A = 6·s²

a. When s = 5, A = 6 × 5² = 150

b. When s = 6 ft, A = 6 × 6² = 216

c. When s = 12 mm, A = 6 × 12² = 864

2. The surface area of a rectangular prism is; S.A. = 2·l·w + 2·h·w + 2·l·h

a. l = 2, w = 5, h = 7

Surface area = 2 × (2 × 5 + 5 × 7 + 2 × 7) = 118

b. l = 16 in, w = 11 in, h = 10 in

The surface area = 2 × (16 × 11 + 16 × 10 + 10 × 11) = 892

3. The surface area of a sphere, A  = 4·π·r²

a. The radius of the sphere, r = 12

A = 4 × π × 12² = 576·π

b. r = 16, therefore;

A = 4 × π × 16² = 1024·π

c. When the diameter, d = 10, we get;

A = 4·π·r² =  4·π·(d/2)² =  4·π·d²/4

A = 4·π·d²/4 = π·d²

4. The surface area of a cylinder, A = 2·π·r·h + 2·π·r²

a. r = 6, h = 12, therefore;

A = 2×π×6×12 + 2×π×6² = 216·π

b. r = 2, h = 10, therefore;

A = 2×π×2×10 + 2×π×2² = 48·π

c. r = 3, h = 5, therefore;

A = 2×π×3×5 + 2×π×3² = 48·π

5. The diameter of the cylinder = 1 ft

Height of the cylinder = 4 ft

The area for the carpet to cover the each of the top and bottom = π×1² ft² = π ft²

The area to cover the curved surface = 2 × π × r × h

Therefore, area of the curved surface = 2 × π × 1 × 4 = 8·π

Area of the curved surface = 8·π ft²

Two circular shapes of radius 1 ft should be cut, followed by a rectangle of side length, 4 ft, and width 8·π/4 ft = 2·π ft

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The fourth term of the arithmetic sequence will be negative 10.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term (a₁) is 2. And the common difference is given as,

aₙ = aₙ₋₁ - 4

aₙ - aₙ₋₁ = - 4

d = - 4

The fourth term of the arithmetic sequence is given as,

a₄ = 2 + (4 - 1)(-4)

a₄ = 2 + 3 x (-4)

a₄ = 2 - 12

a₄ = - 10

The fourth term of the arithmetic sequence will be negative 10.

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The probability that exactly two tails will come up in three tosses of this coin is given as follows:

0.288 = 28.8%.

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

The parameter values for this problem are given as follows:

n = 3, p = 0.4.

The probability that exactly two tails will come up in three tosses of this coin is P(X = 2), hence:

P(X = 2) = 3 x 0.4² x 0.6

P(X = 2) = 0.288.

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A: Average speed of the car is 50 km per hour,

B: speed in miles per hour is 34.068 miles per hour,

C: The distance covered by a cheetah in 5 seconds is 75 meters,

D: distance covered by a cheetah in 1 minute is 1500 meters.

The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other terms, it is a measurement of an object's motion's speed without direction The term "velocity" refers to the combination of direction and speed.

Given the distance covered in half-hour = 25 km

speed = distance/time

speed = 25/.5

speed = 50 km per hour

av. speed =  50 km per hour

B: we know,

1 km = 0.621371 mile

50 km = 50*0.621371

50 km = 31.068 miles

av. speed = 34.068 miles per hour

C: speed of cheetah = 25 m/s

distance covered in 5 seconds = 25* 5

distance covered in 5 seconds = 75 meters

D: distance covered in 60 seconds = 25*60

distance covered in 60 seconds = 1500 meters

Hence average speed is  50 km per hour,

speed in mph is 34.068 miles per hour,

distance covered in 5 seconds is 75 meters,

distance covered in 60 seconds is 1500 meters.

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The probability of not getting purple marble will be 64%. Then the correct option is A.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles.

The total number of marbles is given as,

Total marbles = 2 + 4 + 10 + 9

Total marbles = 25

Then the probability of not getting purple marble will be given as,

P = 1 - 9 / 25

P = 1 - 0.36

P = 0.64

P = 64%

Hence, The probability of not getting purple marble will be 64%. Then the correct option is A.

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To fill register $10 with the value 0x10000000A, you would use the following two instructions:

A. lui $10, 0x1000

C. ori $10, $10, 0x10000000A

The lui (Load Upper Immediate) instruction sets the most significant 16 bits of the destination register to a specified 16-bit value. The ori (OR Immediate) instruction ORs the source register with an immediate value and stores the result in the destination register.

In this case, lui $10, 0x1000 sets the most significant 16 bits of $10 to 0x1000, and ori $10, $10, 0x10000000A ORs 0x10000000A with the contents of $10, filling $10 with the desired value of 0x10000000A.

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The linear equation representing Mia's situation is y = 3x + 12.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The two points given are - (4,24) and (6,30)

The slope-intercept form of a linear equation is - y = mx + b, where m is the slope and b is the y-intercept.

To find the slope use the formula -

m = (y2 - y1)/(x2 - x1)

m = (30 - 24)/(6 - 4)

m = 6/2

m = 3

So, now the equation becomes - y = 3x + b

To find the y-intercept substitute the equation with x and y values -

24 = 3(4) + b

24 = 12 + b

b = 24 - 12

b = 12

So, now the equation becomes - y = 3x + 12.

Therefore, the linear equation y = 3x + 12.

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A bathtub has some water in it. Mia turns on the faucet and add more water. The total amount of water in gallons, y, is a function of the time in minutes since Mia turned on the faucet, x. The graph of a linear function passes through the points (4,24) and (6,30) What is the equation of the function?

Answer:

-3

Step-by-step explanation:

A vertical line has undefined slope. These two points will be stacked one directly above (below) the other. The x will be the same in both points.

So the unknown in H(x,11) is -3

H (-3, 11)

Answer:

Below

Step-by-step explanation:

Vertical lines have slope = 'undefined'

   so the 'x' values in the two points have to be the same (vertical line)

             x = -3

As a side note:  Horizontal lines have a slope = 0

Answer:

tally 4 which has 19 points

Step-by-step explanation:

22+19=41

41/2 = 20.5, divided by two because the team is involved in only two game tournament

this is the least she should have in average to win the MVP award.

since more then 20 means not including 20 but more than of it.

The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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Answer:

A. To find out how many eggs were in the flat, you need to use the information that 5 eggs were cracked, which is 1/6 of the total number of eggs in the flat.

If 5 eggs is 1/6 of the total number of eggs in the flat, then you can set up an equation to find the total number of eggs:

5 eggs = (1/6) * x

Where x is the total number of eggs in the flat.

To solve for x, you can cross-multiply to get:

5 eggs * 6 = 1 * x

Which gives:

x = 30

So there were 30 eggs in the flat.

B. To find out what percent of the eggs in the flat were not cracked, you need to know how many eggs were not cracked and divide that number by the total number of eggs in the flat, and then multiply by 100 to get the percentage.

Since 5 eggs were cracked and there were 30 eggs in the flat, you can find the number of eggs that were not cracked by subtracting the number of cracked eggs from the total number of eggs:

30 eggs - 5 eggs = 25 eggs

So 25 eggs were not cracked.

To find the percentage, you can divide the number of eggs that were not cracked by the total number of eggs in the flat and multiply by 100:

(25 eggs / 30 eggs) * 100 = 83.33%

So, 83.33% of the eggs in the flat were not cracked.

The distance Brett covered was 12 km, but his displacement was 8.6 km.

Displacement is a vector quantity that is measured as a change in an object's position, so the length of the position from the object's initial point to the object's end point.

Distance is a scalar quantity which is defined as the length of the entire path traveled by an object.

Given:

Distance = S₁ + S₂

Distance = 7 + 5

Distance = 12 km

The distance Brett has covered is 12 km.

Starting position = A

Final position = C

Displacement = AC

The displacement in this case is calculated by the Pythagorean theorem.

AC² = AB² + BC²

Displacement² = S₁² + S₂²

Displacement² = 7² + 5²

Displacement² = 49 + 25

Displacement² = 74

Displacement = [tex]\sqrt{74}[/tex]

Displacement = 8.6 km

The displacement that Brett has covered is 8.6 km.

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Answer:

+, x, -

Step-by-step explanation:

8 + 6 x 4 - 2

8 + 24 - 2

32 - 2

30

After 7 weeks, the plant's approximate height is 8.7 cm.

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the connection between two expressions on opposite sides of the sign. It generally consists of one variable and one equal to symbol.

Here,

You are given a a graph titled Plant Height that shows Number of Weeks on x axis and Height of Plant in cm on y axis. Plotting this and you will get an equation of y = 1.2792x - 0.1665 (I used excel using the given points from the above problem).

y = 1.2792x - 0.1665

y = 1.2792 (7) - 0.1665

y = 8.78 centimeters.

The most likely approximate height of the plant after 7 weeks is 8.7 centimeters.

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