For the logistic function, f ( x ) = 100 ( 1 + 5 ( 0.8 ) − x ), what is the value of the parameter A when the function is written in the form f ( x ) = N 1 + A ( b − x )?

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

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Answer:

1234

Step-by-step explanation:

When a coin is flipped 10 times, there are 1024 possible outcomes. Out of these, 286 outcomes contain at most three tails.

To calculate the number of possible outcomes containing at most three tails, we need to consider all the possible combinations of heads (H) and tails (T) in 10 flips. In each flip, we have two possibilities, so the total number of outcomes is 2^10 = 1024.

To find the number of outcomes with at most three tails, we can break it down into three cases:

1. Zero tails: There is only one outcome with all heads (HHHHHHHHHH).

2. One tail: There are 10 ways to choose the flip that results in a tail, and for each of these, the remaining flips are all heads. So, there are 10 outcomes with one tail.

3. Two tails: There are 10 choose 2 = 45 ways to choose the two flips that result in tails, and for each of these, the remaining flips are all heads. So, there are 45 outcomes with two tails.

Adding up these cases, we have 1 + 10 + 45 = 56 outcomes with at most two tails. However, this count includes the outcome with all heads, which we already counted in case 1. So, we subtract 1 to get 56 - 1 = 55 outcomes with at most three tails.

In conclusion, out of the 1024 possible outcomes when flipping a coin 10 times, there are 286 outcomes that contain at most three tails.

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The fourth proportionals are bc/a and st/r

Segments a, b and c

Let the fourth segment be x.

So, we have the following equivalent ratio

a : b = c : x

Express as fraction

a/b = c/x

Make x the subject

x = bc/a

Segments r, s and t

Let the fourth segment be x.

So, we have the following equivalent ratio

r : s = t : x

Express as fraction

r/s = t/x

Make x the subject

x = st/r

Hence, the fourth proportionals are bc/a and st/r

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Step-by-step explanation:

Using the formula for the area of a circle, we have:

Area = πr²

where r is the radius of the circle.

Given that the radius is 10 inches, we can substitute this value into the formula to get:

Area = π(10)²

Area = 100π

Therefore, the area of the circle is 100π square inches. We can leave the answer in terms of π and do not need to round it.

Answer:

Answe⁣r is i⁣n a phot⁣o. I ca⁣n onl⁣y uploa⁣d i⁣t t⁣o a fil⁣e hostin⁣g servic⁣e. lin⁣k belo⁣w!

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Answer:

Step-by-step explanation:

Volume of a rectangular solid = l × w × h

where

l is the length

w is the width

h is the height

From the question

l = 12 feet

w = 3 feet

h = 4 feet

Volume = 12 × 3 × 4

= 144 feet

Hope this helps you.

Answer:

47/53 or 0.88 or 88%

Step-by-step explanation:

The ordered pair identifying the line's y-intercept is (0, -4). The line is neither horizontal nor vertical for slope-intercept form.

Given points are (6, 2) and (8, 5).The slope of a line containing the two given points:

The slope formula is as follows:\($$m = \frac{{y_2 - y_1 }}{{x_2 - x_1 }}$$\)where (x1, y1) = (6, 2) and (x2, y2) = (8, 5)Substitute the given points in the slope formula.

\($$m = \frac{{5 - 2}}{{8 - 6}} = \frac{3}{2}$$\)Therefore, the slope of the line containing the two given points is 3/2.(b) The equation of the line containing the two points in slope-intercept form:The slope-intercept form of a line is given by the equation y = mx + b where m is the slope of the line and b is the y-intercept.So, substituting m and either of the two points (x, y) in the equation, we get y = 3/2 x - 4.

As the slope is positive, the line is neither horizontal nor vertical.(c) The ordered pair identifying the line's y-intercept, assuming that it exists.The equation of the line is y = 3/2 x - 4.The y-intercept is the point where the line intersects the y-axis. On the y-axis, x = 0.Substitute x = 0 in the equation of the line, we gety = - 4The ordered pair identifying the line's y-intercept is (0, -4).Therefore, the slope of the line containing the two given points is 3/2. The equation of the line containing the two points in slope-intercept form is y = 3/2 x - 4.

The ordered pair identifying the line's y-intercept is (0, -4). The line is neither horizontal nor vertical in slope-intercept form.

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A study conducted in 2004 examined the usage of cable television and radio among 10 individuals to determine if there was a significant difference in the average hours spent on each medium. Using a significance level of 0.05, statistical analysis was performed to test for a disparity between the population mean usage of cable television and radio.

The researchers collected data on the number of hours per week spent watching cable television and listening to the radio from a sample of 10 individuals. The objective was to determine if there was a significant difference in the average usage between cable television and radio, considering the increasing competition among various entertainment options.

To test for a difference between the population mean usage for cable television and radio, a statistical hypothesis test was conducted. The significance level (α) of 0.05 was chosen, which means that the results would be considered statistically significant if the probability of obtaining such extreme results by chance alone was less than 5%.

The test compared the means of the two samples, namely the average hours spent watching cable television and listening to the radio. By analyzing the data using appropriate statistical techniques, such as a two-sample t-test, the researchers determined whether the observed difference in means was statistically significant or could be attributed to random variation.

After conducting the hypothesis test, if the p-value associated with the test statistic was less than 0.05, it would indicate that there was a significant difference between the population mean usage of cable television and radio. Conversely, if the p-value was greater than 0.05, there would be insufficient evidence to conclude a significant disparity.

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Answer: 160 degrees

Step-by-step explanation:

I assume you mean two angles with = measure form a 320 deg angle

In this case it would be 320/2 = 160 degrees

Answer:

Clockwise from upper left: 3, 3, 9, 12

Step-by-step explanation:

Put the number in the left colloum in for x in the equation above

Answer:

The question gives you an equation and the x variable, so plug the value of x into the equation.

Row 2, x=1

\(y=3x^{2} \)

\(y=3(1)^{2}\)

y=3

\(y=3^{x} \)

\(y=3^{1} \)

y=3

Row 3, x=2

\(y=3x^{2} \)

\(y=3(2)^{2} \)

y=12

\(y=3^{x} \)

\(y=3^{2} \)

y=9

To find the missing sides and angles of a right triangle with side b = 32 and side c = 51, we can use the Pythagorean theorem and trigonometric ratios.

Let's denote the missing side as a and the angles as A and B, with B being the right angle.

Using the Pythagorean theorem, we know that in a right triangle, the sum of the squares of the two legs (a and b) is equal to the square of the hypotenuse (c):

a^2 + b^2 = c^2

Plugging in the given values, we have:

a^2 + 32^2 = 51^2

a^2 + 1024 = 2601

a^2 = 1577

a ≈ 39.73

Therefore, the length of the missing side a is approximately 39.73.

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The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

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Answer: 937.9

Step-by-step explanation: 850/cos(25)=937.9

Step-by-step explanation:

31/4÷1/4=1.9375 this is the answer

The simplified form of the algebraic expression is \(\frac{23}{10} p+\frac{6}{5} r\) .

An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).

Given expression is of the form:

\(\frac{3}{5} (\frac{1}{2}p+2r )+2p\)

Now we will use the distributive property to expand the algebraic expression:

\(or, (\frac{3}{5} \times\frac{1}{2}p+\frac{3}{5} \times2r) +2p\\\\or,\frac{3}{10}p+\frac{6}{5} r+2p\\ \\or,\frac{3+20}{10} p+\frac{6}{5} r\\\\or,\frac{23}{10} p+\frac{6}{5} r\)

Hence the simplified algebraic expression is  \(\frac{23}{10} p+\frac{6}{5} r\) .

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The sunflower was 52.9 inches tall when it was last measured. The gardener measured the tallest sunflower in his collection and found it to be 65 inches in height.

However, he also noted that the sunflower had grown by 12.1 inches since the last time he measured it.

To determine the previous height of the sunflower, we subtract the growth from its current height.

By subtracting 12.1 inches from the current height of 65 inches, we find that the sunflower was 52.9 inches tall when it was last measured. This means that since the previous measurement, the sunflower experienced significant growth.

It is important for gardeners to monitor the growth of their plants, especially prized ones like these sunflowers. This allows them to track the progress and health of the plants and make any necessary adjustments to optimize their growth conditions.

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Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{doubled}{2V} \end{cases}\implies 2V=\cfrac{\pi r^2 h}{3}\implies V=\cfrac{\pi r^2 h}{3\cdot 2} \\\\\\ V=\cfrac{\pi r^2}{3}\cdot \cfrac{h}{2}\implies V=\cfrac{\pi r^2\left( \frac{h}{2} \right)}{3}\qquad \textit{half the previous "h"}\)

Answer: 2h

Step-by-step explanation:

Answer:

Step-by-step explanation:

The perimeter of a square has a formula P = s + s + s + s or just P = 4s where s is the length of a side. If this perimeter has a number value, we can plug it in and solve for the length of each side, like this:

36 = 4s so

s = 9 cm. And there you go!

Answer:

x=-1

Step-by-step explanation:

1/2x +1/2=x+1

Subtract 1/2x from each side

1/2x-1/2x +1/2=x-1/2x+1

1/2 = 1/2x +1

Subtract 1 from each side

1/2 -1 = 1/2x +1-1

-1/2 = 1/2x

Multiply each side by 2

2 * (-1/2) = 1/2 x*2

-1 =x

Answer:

To write the equation of the line that passes through the points (2, -4) and (0, -4), we can use the point-slope form of a linear equation, which is:

y - y1 = m(x - x1)

Where (x1, y1) is one of the points on the line, and m is the slope of the line.

In this case, both points have the same y-coordinate, which means that the line is horizontal and has a slope of 0. We can choose either point to use in the equation, so let's use (2, -4):

y - (-4) = 0(x - 2)

Simplifying this equation, we get:

y + 4 = 0

y = -4

So the equation of the line that passes through the points (2, -4) and (0, -4) is y = -4, which is a horizontal line at y-coordinate -4.

Answer:

its really hard  mark me brainly

Step-by-step explanation:

Answer:

7a+9b

Step-by-step explanation:

a. The domain of this function is all real numbers, or (-∞, ∞).

b. To find the open intervals on which the curve is smooth, we need to find the derivative of r(t), which is r'(t) = Vi + 0j = Vi.

c. The path traced out by this function is a straight line with a slope of V/p in the xy-plane.

d. Other events that can cause a curve to fail to be smooth at a point in time include abrupt changes in direction, such as a sharp turn or a cusp, or a discontinuity in the function, such as a jump or a hole.

The domain of r' is also (-∞, ∞), since it is a constant function. The curve is smooth on the entire domain, since the derivative is constant and therefore there are no points at which the curve changes direction abruptly.

To find the open intervals on which the curve is smooth, we need to find the derivative of r(t), which is r'(t) = Vi + 0j = Vi.

The domain of r' is also (-∞, ∞), since it is a constant function. The curve is smooth on the entire domain, since the derivative is constant and therefore there are no points at which the curve changes direction abruptly.

The path will not be smooth at any point, since the derivative is constant and there are no abrupt changes in direction. The curve will look like a straight line with a slope of V/p.

These events can occur even though the vector-valued function tracing the curve is defined for the value of t at which the curve is not smooth.

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Answer:

noun

1.

a surface of which one end or side is at a higher level than another; a rising or falling surface.

Step-by-step explanation:

steepness

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x)

step one: identify two points on the line

step two: select one to be (x1,y1) and the other to be (x2,y2)

step three: use the slope equation calulate slope

2x-3=8+7(+3)

2y-3(+3)=8x+7(+3)

2y=8x+10

----- --------

2y=8x+10

y=4x+5

Answer:

m=4