The image of a button is 5 times the buttons actual size and has a diameter of 6 cm. Which is the actual dimension of the button?
A. 30cm
B. 6/5cm.
C. 5/6cm
D. 25cm​

The probability of drawing a red card, placing it back in the deck, and drawing another red card is 1/4.

According to the given question.

Total number of cards in a deck is 52.

As we know that total number of red cards in a well shuffled deck is 26.

Since, Eric first draws a red card, places it back in the deck, shuffles the deck, and then draws another card. Which means there is a replacement of cards.

So, the probability of drawing the first card is red = 26/52 = 1/2

And the probability of drawing the another card is red = 26/52 = 1/2

Therefore,

The probability of drawing a red card, placing it back in the deck, and drawing another red card

= 1/2  × 1/2

= 1/4

Hence, the probability of drawing a red card, placing it back in the deck, and drawing another red card is 1/4.

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Answer:

Option (C)

Step-by-step explanation:

We will apply the rules of transformations in this question.

Parent function of the given line in the graph is,

f(x) = mx

If the function is f'(x) = -mx

Then the line will be inverted of reflected across the x-axis.

If the function is g(x) = -mx - b

Then the line representing function g(x) = -mx will be shifted b units downwards, similar to the graph given in Option (C).

The expression that is equivalent to (1 + (1/y))/(1 - (1/y)) is; (y + 1)/(y - 1)

We want to find the expression that is equivalent to;

(1 + (1/y))/(1 - (1/y))

Let us first simplify the numerator (1 + (1/y))

By using LCM method, we can express the numerator as;

(y + 1)/y

Similarly, for the denominator we have;

(1 - (1/y)) = (y - 1)/y

Thus the original expression is now;

((y + 1)/y)/((y - 1)/y)

y will cancel out to give us;

(y + 1)/(y - 1)

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Answer:

B. y+1/y-1

Step-by-step explanation:

edge 2022

Step-by-step explanation:

(x+1) + (2x-15) = 10

x + 1 + 2x - 15 = 10

3x - 14 = 10

3x = 14 + 10

3x = 24

x = 24/3

x = 8

Therefore,

Option B is correct ✔.

The total length of the line is 10.

The line is divided by 2 equations. Add the two equations together to equal the total length:

x + 1 + 2x -15 = 10

Combine like terms:

3x -14 = 10

Add 14 to both sides:

3x = 24

Divide both sides by 3:

x = 24/3

x = 8

The answer is B. 8

The rewrite value as a sum or difference is cos 2x cos 4x = (1/2)[cos(6x) + cos(2x)].

We are given the expression cos 2x cos 4x, and we need to rewrite it as a sum or difference.

The following formula can be used to write the product of two trigonometric functions as a sum or difference:

cos A cos B = (1/2)[cos(A + B) + cos(A - B)]sin A sin B = (1/2)[cos(A - B) - cos(A + B)]sin A cos B

= (1/2)[sin(A + B) + sin(A - B)]cos A sin B = (1/2)[sin(A + B) - sin(A - B)]

Here, we have cos 2x cos 4x, so we can use the first formula with A = 2x and B = 4x.cos 2x cos 4x

= (1/2)[cos(2x + 4x) + cos(2x - 4x)]cos 2x cos 4x = (1/2)[cos(6x) + cos(-2x)]

We can simplify further by using the fact that cos(-θ) = cos(θ).cos 2x cos 4x = (1/2)[cos(6x) + cos(2x)]

So, we have rewritten cos 2x cos 4x as the sum of two cosine functions.

The first term has an argument of 6x, and the second term has an argument of 2x.

Summary: To rewrite cos 2x cos 4x as a sum or difference, we can use the formula cos A cos B = (1/2)[cos(A + B) + cos(A - B)].

Using this formula, we get cos 2x cos 4x = (1/2)[cos(6x) + cos(2x)].

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The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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Answer:

if she fill 5.7 gallons of gas then she spent ( 19.95 )

if she fill 14 gallons of gas then she spent ( 49 )

Answer:

I think 19.95

Step-by-step explanation:

3.50 x 5.7 = 19.95

Also if you are you Savvas Realize, just enter 000. You get it wrong and click try again or samilirar question. ( Just a suggesion)

Answer:

7.7 km

Explanation:

Use cosine rule as here given two sides and one angle.

Cosine rule states:

a² = b² + c² - 2bc cos(A)

While solving, treat a = 7.5 km as to that opposite angle is given of 68°

then b = missing side, c = 5.2 km, A = 68°

Applying rule:

7.5² = b² + 5.2² - 2(b)(5.2) cos(68)

56.25 = b² + 27.04 - 3.8959b

56.25 - 27.04 = b² - 3.8959b

b² - 3.8959b = 29.21

b² - 3.8959b - 29.21 = 0

apply quadratic equation, Here [a = 1, b = - 3.8959, c = -29.21]

\(\sf b = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad\:when \:\ ax^2 + bx + c = 0\)

\(\sf b = \dfrac{ -(-3.8959) \pm \sqrt{(-3.8959)^2 - 4(1)(-29.21)}}{2(1)}\)

\(\sf b = 7.69 291 \quad or \quad b = -3.797\)

\(\sf b = 7.7 \quad (rounded \ to \ nearest \ tenth)\)

As length cannot be negative. Hence the value of b is only 7.7 km

The answer is 7.7 km.

Let's apply the Cosine Law in this situation.

a² = b² + c² - 2bc cos(A)

Now, substitute the values based on the given diagram.

Here, using the Quadratic Equation, we can solve :

Answer:

It Depends

Step-by-step explanation:

If the image is the scale, the answer is 1/3, since its width of 3 is 1/3 the width of the actual book.

If the book is the scale, the answer is 3, since its width of 9 is 3 times the width of the image.

Depending on the type of figure given, the respective formula of parallelogram, trapezoid, triangle or rectangle is used to solve such problems.

The only point that is a solution to the system of linear equations is (1, 3).

The x and y coordinates of each point must be substituted into both equations to determine which position is a solution to the system of linear equations.

Starting with the first point (9, -3),

y = -x + 6

y = -x + 6

Since this is untrue, the answer (9, -3) cannot be used.

Let's attempt the point (6,1) now:

y = -x + 6

1 = -6 + 6

Since this is untrue, the answer (6, 1) cannot be used.

Try the points (1,3) now:

y = -x + 6

3 = -1 + 6

That's accurate.

6x - 3y = 18

6(1) - 3(3) = 0

Since this is untrue, the answer (1, 3) cannot be used.

Let's attempt the point (-1, 6) last.

y = -x + 6

6 = 1 + 6

That's accurate.

6x - 3y = 18

6(-1) - 3(6) = -30

(-1, 6) is not an answer because this is untrue.

As a result, there is only one point that can be used to solve the system of linear equations: (1, 3).

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Step-by-step explanation:

first, for such questions, we sound always sorry the list of data points :

9, 10, 12, 15, 17

the mean is the sum of all data points divided by the number of data points. we have 5 data points.

mean = (9+10+12+15+17)/5 = 63/5 = 12.6

median is the data point for which half of the other data points are smaller, and the other half of other data points are larger.

so, for our 5 days points,

median = 12

the middle element in our sorted list.

mode simple defines the data value that appears the most frequently in the list.

in our case all values appear exactly once.

some people say then that the mode is all numbers in the list.

but most commonly we say that this list has no mode.

Answer:

He must practice at least 2 more times

Step-by-step explanation:

To determine which point among P(4, 6, -4), Q(-8, -1, 0), and R(2, -5, 1) is closest to the xz-plane, we can compare the y-coordinates of these points.

The xz-plane is defined by having a y-coordinate of 0. Therefore, we need to find the point with the smallest absolute value for the y-coordinate.

Let's calculate the absolute values of the y-coordinates for each point:

|y_P| = |6| = 6

|y_Q| = |-1| = 1

|y_R| = |-5| = 5

Among the three points, Q(-8, -1, 0) has the smallest absolute value for the y-coordinate, which is 1. Therefore, Q is the closest point to the xz-plane.

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The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

We have to find the area of the region enclosed by one loop of the curve.

The given curve is:

r = sin(10θ)

Consider the region r = sin(10θ)

The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is

A = \(\int^{b}_{a}\frac{1}{2}r^2d\theta\)

Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.

sin(10θ) = 0

sin(10θ) = sin0   or    sin(10θ) = sinπ

So θ = 0             or      θ = π/10

Hence, the limit of θ is 0 ≤ θ ≤ π/10.

Now the area of the required region is

A = \(\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta\)

A = \(\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta\)

A = \(\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right]\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right]\)

A = 1/4[(π/10-0)-(0-0)]

A = 1/4(π/10)

A = π/40

Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

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The empirical rule can be used to determine the percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution.

The empirical rule states that for data sets having a bell-shaped distribution, about 68% of the data values lie within one standard deviation of the mean, approximately 95% lie within two standard deviations of the mean, and about 99.7% lie within three standard deviations of the mean.

This rule holds true only for bell-shaped distributions.The empirical rule is used to determine how data is distributed and how much of it falls within a particular standard deviation. It is one of the most valuable statistical tools for understanding a data set's characteristics and making predictions.

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The solutions of the x-intercepts and equations are: x = 5/2 or x = -3/2.

a. To solve 2x² - 9 = 0, follow these steps below:

2x² - 9 = 0

Add 9 to each side to get: 2x² = 9

Divide by 2 to get: x² = 9/2

Take the square root of each side to get: x = ± √(9/2)

Simplify to get: x = ± (3/√2)

b. To find the x-intercepts of f(x) = 2x² - 9, let f(x) = 0: 2x² - 9 = 0

Add 9 to each side to get: 2x² = 9

Divide by 2 to get: x² = 9/2

Take the square root of each side to get: x = ± √(9/2)

Simplify to get: x = ± (3/√2)

The x-intercepts of f(x) = 2x² - 9 are (3/√2, 0) and (-3/√2, 0).

c. To solve 3x² - 15x = 0, factor out the common factor of 3x: 3x(x - 5) = 0

Use the zero product property to get: 3x = 0 or x - 5 = 0

Simplify to get: x = 0 or x = 5

The solutions are x = 0 and x = 5.

d. To solve 4x² - 4x - 15 = 0, use the quadratic formula: a = 4, b = -4, c = -15

4x² - 4x - 15 = 0x = (-b ± √(b² - 4ac)) / (2a)

Plug in the values: a = 4, b = -4, c = -15

x = (-(-4) ± √((-4)² - 4(4)(-15))) / (2(4))

Simplify: x = (4 ± √256) / 8x = (4 ± 16) / 8

The solutions are: x = 5/2 or x = -3/2

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When Group A loses an item or items to Group B even though Group A's population grew at a faster rate than Group B's, the Simpson's Paradox occurs.

This statistical anomaly happens when a trend appears in different groups of data, but disappears or reverses when the groups are combined. It is crucial to consider the context and variables involved when analyzing data, as the Simpson's Paradox may lead to incorrect conclusions if only aggregate data is examined.

This paradox serves as a reminder to always investigate the underlying factors that may influence statistical results.

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Answer: x= -1  y= 1

Step-by-step explanation: Times  -3 to get the same x

-3x - 15y = -12

3x - 7y = -10

      -22y = -22

            y= 1

Then put 1 back in for letter y and you get x= - 1

Answer:

it's the last one

Step-by-step explanation:

the last one is the correct one

Answer:

f(1/2) = 1

Step-by-step explanation:

Therefore, there are 72 variants of lunch that can be made considering the given options.

To calculate the number of variants of lunch that can be made, we need to multiply the number of options for each component (sandwich, dessert, and drink).

Number of sandwich options: 6

Number of dessert options: 3

Number of drink options: 4

To find the total number of lunch variants, we multiply these numbers together:

Total number of variants = Number of sandwich options × Number of dessert options × Number of drink options

= 6 × 3 × 4

= 72

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The following are the variables that could be of interest to generate environmental data: Pollution levels: Pollution levels are a measure of the degree to which the air is contaminated.

Contaminants in the air, such as particulate matter and toxic gases, can be hazardous to human health and the environment, and monitoring them can provide valuable data on air quality.Air quality: Air quality refers to the level of pollution in the air. This could include measurements of various pollutants, such as nitrogen dioxide, sulfur dioxide, and particulate matter. This data can be gathered by a variety of sensors, including gas analyzers, particle counters, and spectrometers.Ozone concentration: Ozone concentration refers to the amount of ozone in the air. Ozone is a powerful oxidant that can have both beneficial and harmful effects on human health and the environment. Storm intensity: Storm intensity refers to the severity of a storm.

This could include measurements of wind speed, rainfall, and lightning activity. Data on storm intensity can be gathered using weather stations, Doppler radar, and lightning detection systems.Vegetation density: Vegetation density is a measure of how much plant life is present in a given area. This data can be used to monitor changes in ecosystems over time and to assess the impact of human activities on the environment. Vegetation density can be measured using satellite imagery, ground-based surveys, and remote sensing technologies.Earthquake intensity: Earthquake intensity refers to the strength of an earthquake. This could include measurements of ground motion, ground acceleration, and ground displacement. Data on earthquake intensity can be gathered using seismometers and other ground-based sensors. Wildlife diversity can be measured using a variety of techniques, including surveys, camera traps, and acoustic monitoring.

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The domain of the function f(x)= -long(5-x)+b is Dom(f) = [– ∞,  5]., range is all real numbers except for x = 5.

IF function is the process or state of instruction that text inputs performance is specific task and produce an output functional key components of programming language allowing the quarter to create complex commands with simple instruction for example a function can be used to add two numbers together or to generate a random number function can also be combined to create more complex sequence of instruction.

The range of this function is all real numbers as the long function will never return a negative value. The value of b determines the exact range of the function, as it shifts the graph up or down.

The formula is: f(x) = - log(5 - x) + b.

Limitation for the f domain:

5 – x > 0

x < 5

Hence, f's domain is

Dom(f) = {x ∈ R:  x < 5}

Alternatively by notating intervals,

Dom(f) = [– ∞, 5].

Secondly, we wish to demonstrate that there is always an x Dom(f) for any given y R.

y = f(x) (x)

Once we've demonstrated that, we can say that f's operating range is R. (all real numbers).

How to find x in an equation:

\(y = f(x)\\y = - log(5 - x) + b\\y - b = - log(5 - x) (5 - x)\\-(y - b) = log(5 - x) (5 - x)\\b - y = log(5 - x) (5 - x)\\5 - x = 10^{(b - y) (b - y)}\\x = 5 - 10^{(b - y) (b - y)}\\\)

Because y is not constrained, the range of f is R. (all real numbers).

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Answer:

90

Step-by-step explanation:

Answer:

x < -4

Step-by-step explanation:

-7x>28

7x<-28

x<-4

please give brainliest!

hope this helps :)

Answer:

x+ 4x-85 = 90

Step-by-step explanation:

The two angles are complementary so they add to 90 degrees

x+ 4x-85 = 90

Combine like terms

5x - 85 = 90

Add 85 to each side

5x = 175

Divide by 5

5x/5 =175/5

x =35

Answer:

x (4-85)  =  -81x

Step-by-step explanation:

Equation: x (4-85)

Answer: x (4-85)

1: Find the missing side

2: add the other numbers

Hope this helps.

Answer:

The x-intercept is the location on the graph when the output is 0.

f(x) > 0 is intervals of the domain where the graph is above the x-axis.

y-intercept is the location on the graph when the input is 0.

f(x) < 0 is intervals of the domain where the graph is below the x-axis.