Can someone please help me? :(

Answer:

5

Step-by-step explanation:

The square Root of 25 in its simplest form means to get the number 25 inside the radical √ as low as possible.

25 is a perfect square, which means that you can simply calculate the square Root of 25 to get the answer. 5 times 5 equals 25. Thus, the square Root of 25 in simplest radical form is:

5

Answer:

a. The initial value is 5575

b. The decay factor is 0.35 or 35%

Step-by-step explanation:

The decay equation is given as;

y = 5575(0.65)^t

Mathematically, a decay equation can be written in the form;

A = Ir^t

where A is the amount at a time, I

is the initial value and r represents the decay rate

a. So by comparing this with what we have, we can see that the initial value is 5575

b. We want to write the decay factor

We can rewrite the equation as;

y = 5575 (1-0.35)^t

where 0.35 = 35/100 which can be said to be 35%

Answer:

a. What is the initial value?

= 5575

b. What is the decay factor?

= 0.35 or 35%

Step-by-step explanation:

Exponential Decay formula is given as

y = a(1 - r)^t

Where:

a = initial value (the amount before measuring growth or decay)

r = decay rate or decay factor (most often represented as a percentage and expressed as a decimal)

t = number of time intervals that have passed

In the question above,

y=5575.(0.65)^t

a. What is the initial value?

y = a(1 - r)^t

y=5575.(0.65)^t

Hence, a = Initial value = 5575

b. What is the decay factor?

r = decay factor

Hence

1 - r = 0.65

r = 1 - 0.65

r = 0.35

The decay factor = 0.35

We can also convert to percentage

= 0.35 × 100%

= 35%

Hence, the decay factor = 0.35 or 35%

Answer:

Geometric.

Step-by-step explanation:

It is Geometric because there is a common ratio between the terms.

50p/100p = 1/2

25p/50p = 1/2

The common ratio is 1/2.

Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.

We can compute various descriptive statistics such as the mean, median, mode, range, variance, standard deviation, sum of values, and sum of squared deviations.

The sample mean, also known as the average, provides information about the central tendency of the variable X. It represents the typical or average number of coupons used by the shoppers in the sample. In this case, calculating the mean of the given data would provide an estimate of the average number of coupons used over the 6-month period.

The sample standard deviation measures the dispersion or variability of the data points around the mean. It indicates how much the individual observations deviate from the mean value. A higher standard deviation implies greater variability, indicating a wider range of coupon usage among the shoppers in the sample.

By computing the sample mean and standard deviation, we can understand the average coupon usage and the degree of variability in the data. These statistics help us summarize and interpret the characteristics of the variable X, allowing us to make comparisons, identify outliers, assess the spread of the data, and make inferences about the larger population from which the sample was drawn.

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We can see here that  sequence of transformations that maps △DEF to △D′E′F′ is a translation followed by a translation 5 unit left.

A sequence of transformation refers to a series of changes or modifications made to a given input, typically in the context of computer science or mathematics. These transformations can be applied in a specific order, and can include operations such as data manipulation, image processing, or mathematical functions.

The output of each transformation in the sequence is typically used as the input for the next transformation, resulting in a final output that is the result of the entire series of changes.

We see here that the transformation follows a translation 5 unit left. Having D(2 -5, −1) , E(7-5, −1) , and F(2-5, −3), we have  D′(-3, 1) , E′(2, 1) , and F′(−3, 3).

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The librarian can fill the 4-sided rotating book carousel in a total of 49,140,000 ways.

To calculate the number of ways, we can consider each side of the carousel separately. Since each side can contain 20 ordered books and there are 100 books in total, we need to determine the number of ways to select 20 books from 100 for each side.

This can be calculated using the combination formula, which is given by C(n, r) = n! / (r! * (n-r)!), where n is the total number of items and r is the number of items to be selected.

For each side of the carousel, we have C(100, 20) = 535,983,370 ways to select 20 books. Since there are 4 sides, we multiply this number by itself four times to get the total number of ways to fill the carousel. Therefore, the librarian can fill the 4-sided rotating book carousel in a total of 535,983,370^4 = 49,140,000 ways.

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New mean is 2.53% larger than the original mean.

What is mean?

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set.

We can find the percentage larger is the mean of the new list in comparison with the original as shown below:

Given, set of number 55, 70, 81, 83, 88, 91

Median= (81+83)/2

= 164/2

= 82

Mean = (55+70+81+83+88+91)/6

= 468/6

= 78

New value which is added = 82*1.12

= 91.84

New Mean = (55+70+81+83+88+91+91.84)/7

= 559.84/7

= 79.97

Increase in mean = 79.97-78

=1.97

increase percentage (1.97/78) *100

= 2.53%

Hence, new mean is 2.53% larger than the original mean.

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Therefore, the standard deviation of the noise is approximately 0.0372, and the RMS of the noise is approximately 0.0584.

To calculate the standard deviation and RMS (Root Mean Square) of the given discrete noise signal [0.031, 0.073, 0.047, 0.06, 0.056, 0.042, 0.012, 0.041, 0.081, 0.072], follow these steps:

Step 1: Calculate the mean (average) of the data:

Mean = (0.031 + 0.073 + 0.047 + 0.06 + 0.056 + 0.042 + 0.012 + 0.041 + 0.081 + 0.072) / 10

= 0.055

Step 2: Calculate the variance of the data:

Variance\(= [(0.031 - 0.055)^2 + (0.073 - 0.055)^2 + (0.047 - 0.055)^2 + (0.06 - 0.055)^2 + (0.056 - 0.055)^2 + (0.042 - 0.055)^2 + (0.012 - 0.055)^2 + (0.041 - 0.055)^2 + (0.081 - 0.055)^2 + (0.072 - 0.055)^2] / 10\)

= 0.00138

Step 3: Calculate the standard deviation:

Standard Deviation = √(Variance)

= √(0.00138)

≈ 0.0372 (rounded to four decimal places)

Step 4: Calculate the RMS (Root Mean Square):

RMS = √\(((0.031^2 + 0.073^2 + 0.047^2 + 0.06^2 + 0.056^2 + 0.042^2 + 0.012^2 + 0.041^2 + 0.081^2 + 0.072^2) / 10)\)

= √(0.0034)

≈ 0.0584 (rounded to four decimal places)

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Answer:

  +4.5 feet

Step-by-step explanation:

The change in level is computed by subtracting the beginning level from the ending level.

  change = ending - beginning

  change = (6 ft) - (1.5 ft)

  change = 4.5 ft

The change in level from 7 pm to 8 am was +4.5 feet.

After just a reflection along the \(X-axis\), a quadrilateral \(MNOP\) of position \(P\) is \((3, -4)\).

Four closed sides are making up a quadrilateral. Quadrilaterals are the following figures: Designed by Raphael. a four-sided figure. There is just one pair of parallel sides to the form, and there are no right angles.

A closed form known as a quadrilateral is known to be have sides with various widths and lengths. It is a closed polygon in two dimensions with four vertices, four angles, and four sides. Some examples of a quadrilateral are a cohesion and coherence, parallelogram, rectangle, rhombus, square, and kite.

When a point is reflected across the \(X-axis\), the \(X-\)coordinate stays the same, but the \(Y-\)coordinate is multiplied by \(-1\).

So to find the image of point \(P\) after a reflection across the \(X-axis\), we keep the \(X-\)coordinate of \(P\) the same (which is 3) and multiply the \(Y-\)coordinate by \(-1\)

New \(Y-\)coordinate of \(P = -1 * 4 = -4\)

Therefore, the image of point \(P\) after a reflection across the \(X-axis\) is \((3, -4)\).

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We solve for x by using the inverse trigonometric functions (arccos and arcsin) to find the values of x that satisfy the equation within the given interval [-180°, 180°].

To solve the equation cos 2x = sin (θ + 30°), we can use trigonometric identities to rewrite the equation and solve for x.

Recall the double-angle identity for cosine:

cos 2x = 1 - 2sin² x

Using this identity, we can rewrite the equation as:

1 - 2sin² x = sin (θ + 30°)

Next, let's simplify the equation by expanding the sine term:

1 - 2sin² x = sin θ cos 30° + cos θ sin 30°

Since cos 30° = √3/2 and sin 30° = 1/2, we can substitute these values into the equation:

1 - 2sin² x = (sin θ)(√3/2) + (cos θ)(1/2)

Now, let's substitute sin² x = 1 - cos² x into the equation:

1 - 2(1 - cos² x) = (sin θ)(√3/2) + (cos θ)(1/2)

Simplifying further:

2cos² x - cos θ√3 - cos θ/2 = 0

This is now a quadratic equation in terms of cos x. We can solve this equation using the quadratic formula:

cos x = [√(cos² θ√3 + 4cos² θ) - cos θ√3]/4

Now, we can substitute the value of cos x back into the equation sin x = √(1 - cos² x) to find the corresponding values of sin x.

Finally, we solve for x by using the inverse trigonometric functions (arccos and arcsin) to find the values of x that satisfy the equation within the given interval [-180°, 180°].

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At a rate of 2 m³ per minute, it would take 212.5 minutes to fill this swimming pool.

Based on the information provided, we can logically deduce that the shape of this pool is a prism because it is deep (2.2 m) at one end and shallow (1.2 m) at the other end.

First of all, we would determine the volume of this swimming pool as follows:

Volume = 1/2 × (1.2 + 2.2) × 10 × 25

Volume = 1/2 × (3.4) × 250

Volume = 1.7 × 250

Volume = 425 m³.

For the time, we have:

Time = volume/rate

Time = 425/2

Time = 212.5 minutes.

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Answer:

x = 30

Step-by-step explanation:

Using the converse of the Side Opposite 30° Theorem, we find that ∠X is 30°.

Hope this helps :)

Answer:

Area of the figure = 171 in²

Step-by-step explanation:

Composite figure given in the picture comprises of three figures, two right triangles and one rectangle.

Area of the composite figure = Area of two right triangles + Area of the rectangle at the center

Area of one right triangle = \(\frac{1}{2}(\text{Base})(\text{Height})\)

                                           = \(\frac{1}{2}(12)(9)\)

                                           = 54 in²

Area of the rectangle = Length × Width

                                    = 7 × 9

                                    = 63 in²

Area of the composite figure = 2(54) + 63

                                                  = 108 + 63

                                                  = 171 in²

The equation is 38.25 = 4.25h and Tomás worked for 9 hours.

To find the number of hours it took Tomás to clean the garage, we can set up an equation using the given information.

Let's assume the number of hours Tomás worked is "h."

We know that Tomás was paid $4.25 per hour, so the total amount he earned can be calculated by multiplying the hourly rate by the number of hours worked:

Total earnings = Hourly rate * Number of hours

In this case, the total earnings are $38.25, and the hourly rate is $4.25:

$38.25 = $4.25 * h

To solve for "h," we need to isolate the variable on one side of the equation. We can do this by dividing both sides of the equation by $4.25:

$38.25 / $4.25 = h

Simplifying the right side:

9 = h

Therefore, it took Tomás 9 hours to clean the garage.

By setting up the equation and solving it, we determined that Tomás worked for 9 hours.

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An equation represents the slope-intercept form of the given line is y= 1/2 x+8. Therefore, option D is the correct answer.

Given that, y-intercept = (0, 8) and slope = 1/2.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Substitute m=1/2 and c=8 in y=mx+c, we get

y= 1/2 x+8

Therefore, option D is the correct answer.

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Answer:

y = -9/10x + 3/10 or y = 3/10(1 - 3x)

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of line w is -9/10

Using (-3,3) >> y = -9/10x + b

3 = -9/10(-3) + b

3 = 27/10 + b

b = 3 - 27/10 = 30/10 - 27/10 = 3/10

y = -9/10x + 3/10 or y = 3/10(1 - 3x)

The equation of the line w will be y = -9/10x + 3/10 or y = 3/10(1 - 3x).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Perpendicular lines have slopes that are negative reciprocals of one another

The slope of line w is -9/10

Using (-3,3) >> y = -9/10x + b

3 = -9/10(-3) + b

3 = 27/10 + b

b = 3 - 27/10 = 30/10 - 27/10 = 3/10

y = -9/10x + 3/10 or y = 3/10(1 - 3x)

Therefore, the equation of the line w will be y = -9/10x + 3/10 or y = 3/10(1 - 3x).

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Answer:

35

Step-by-step explanation:

Answer:

y=-7

m=0

Step-by-step explanation:

y=mx+b

line is perpendicular to y axis and passes through point(5,-7)

which means that our line equation is y=-7

so y=0*x-7

so m=0 and b=-7

Answer:

rectangle C rectangle B rectangle A

Step-by-step explanation:

choose fourth is right

Answer:

Step-by-step explanation:

If f and g are inverse functions, then f (x) = y if and only if g (y) = x In trigonometry, the inverse sine function is used to find the measure of angle for which sine function generated the value. For example, sin-1(1) = sin-1(sin 90) = 90 degrees.

Answer:

Juggernog is a Perk in Call of Duty: World at War and Call of Duty: Black Ops. It appears in every Nazi Zombies map (excluding Nacht der Untoten). It is the zombies equivalent of Juggernaut. Juggernog costs 2500 points in every map in which it is available.

The limit of xy/(√\(x^2+y^2\)) as (x, y) approaches (0, 0) does not exist.

On the x-axis, all points have y = 0. Therefore, the expression xy/(√\(x^2+y^2\)) reduces to 0/|x|, which is equal to 0 for x ≠ 0 and undefined at x = 0.

Next, let's approach (0, 0) along the y-axis. On this path, all points have x = 0. Therefore, the expression xy/(√\(x^2+y^2\)) reduces to 0/|y|, which is equal to 0 for y ≠ 0 and undefined at y = 0.

Since the limit of the expression along the x-axis and y-axis are different, the limit at (0, 0) does not exist.

To prove this, we can also use polar coordinates.

Let x = r cosθ and y = r sinθ, then the expression becomes:

lim (r, θ) -> (0, 0) \(r^2\) cosθ sinθ / r

which simplifies to:

lim (r, θ) -> (0, 0) r cosθ sinθ

This limit does not exist, as the value of r cosθ sinθ depends on the angle θ. For example, when θ = 0, r cosθ sinθ = 0, but when θ = π/4, r cosθ sinθ = \(r^2\)/2.

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To find the limit, if it exists, of Lim (x, y) → (0, 0) xy/(√x^2+y^2), we first examine the limit as we approach (0, 0) along the x-axis. When we follow this path,it helps to analyse the limit.

On the x-axis, y=0 for all points. Therefore, the limit can be examined as lim (x, 0) → (0, 0) x(0)/(√x^2+0^2). Simplifying, we get lim (x, 0) → (0, 0) 0/|x|. As we approach 0 from both positive and negative sides of the x-axis, the denominator |x| approaches 0. However, the numerator remains 0. Thus, the limit is 0. Therefore, all points on the x-axis approach 0 as we approach (0, 0).

that is,  Lim (x, y) → (0, 0) x(0)/(√x^2+0^2) = Lim (x, y) → (0, 0) 0/(√x^2)

As x approaches 0, the numerator is always 0, while the denominator is |x|. Thus, the limit along the x-axis is:

Lim (x, y) → (0, 0) 0/|x| = 0

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Answer:

320 pounds sterling

Step-by-step explanation:

All you have to do is $380.80 divided by $1.19 which is equal to one pound sterling. Hope this helps!

Answer:

m = 600 feet/minute

Step-by-step explanation:

In this scenario, the elevation of the hot air balloon can be represented as a linear function of time. Let's use t to denote time in minutes and h(t) to denote the elevation of the balloon in feet at time t.

We know that the balloon starts at an elevation of 300 feet, so we can write the equation of the line as:

h(t) = 600t + 300

The slope of the line represents the rate of change of the elevation with respect to time, which is the same as the rate at which the balloon is ascending. Therefore, the slope of the line is equal to the ascent rate of the balloon, which is 600 feet per minute.

So the slope of the line is:

m = 600 feet/minute

Answer:

9x8=72

Step-by-step explanation:

because it counting by nines

there fore some are different but if you multiply them you will get same answer for the  multiplication table shown of nines

example :9x7=63

1x7=7

9x1=9

9x7=63

Answer:

72 is the answer to 9x8

Step-by-step explanation:

have a good day!! :)

The point (-3 + 18i) is also on the circle with diameter endpoints at –3 + 18i and 7 – 6i.

To find which point is also on the circle, we need to first find the center and radius of the circle. The center of the circle is the midpoint of the diameter, which we can find using the midpoint formula:

Midpoint = ((–3 + 7)/2, (18i – 6i)/2) = (2, 6i)

The radius of the circle is half the length of the diameter, which we can find using the distance formula:

r = √((7 – (–3))^2 + ((–6i) – 18i)^2) / 2

= √(100 + 576) / 2

= √(676) / 2

= 13 / 2

So the center of the circle is (2, 6i) and the radius is 13/2.

To determine which point is also on the circle, we need to check if its distance from the center is equal to the radius. Let's start by checking the point (-3 + 18i):

Distance = √((2 – (–3))^2 + (6i – 18i)^2)

= √(25 + 144)

= √(169)

= 13

Since the distance is equal to the radius, the point (-3 + 18i) is also on the circle. This problem involves basic geometry concepts such as finding the center and radius of a circle, and using the distance formula to check if a point is on the circle.

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The function that has the same range as f(x) include the following: B. \(g(x)=-\frac{5}{7} (\frac{3}{5} )^{-x}\).

In Mathematics and Geometry, a range is the set of all real numbers that connects with the elements of a domain.

This ultimately implies that, a range simply refers to the set of all possible output numerical values (real numbers), which are shown on the y-coordinate (y-axis) of a graph.

Generally speaking, the range of a function is preserved when a reflection across or over the y-axis centered at the origin is applied, but the relationship between the range and the domain would be rigidly altered. Also, a reflection across the y-axis is given by;

g(x) = f(-x)

\(g(x)=-\frac{5}{7} (\frac{3}{5} )^{-x}\).

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