Manisha designed a table cloth in the shape of a square of side 54cm . She wants to decorate its boundaries by sticking a lace around it . Fing the cost of putting lace around the table cloth at the rate of ₹8.5 per meter.

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

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

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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Answer:

x < -7 or x > 2

Step-by-step explanation:

The solution includes the interval from negative infinity to -7, not including -7. That means

x < -7

The solution also includes the intervals from 2 to infinity, not including 2. That means

x > 2

Answer: x < -7 or x > 2

Answer:

C

Step-by-step explanation:

because it's the safe bet sorry I'm really dumb

The number of square units enclosed by the polygon is 18.

First, count the number of dots that are enclosed by the polygon (including those on the boundary). There are 14 such dots.Next, count the number of dots on the boundary of the polygon. There are 8 dots on the boundary.Each of the dots on the boundary corresponds to a line segment of the polygon.

So, the perimeter of the polygon is 8 units (the length of each of these line segments).Now, we can use Pick's theorem to find the area of the polygon. Pick's theorem states that A = i + b/2 - 1, where A is the area of the polygon, i is the number of dots inside the polygon, and b is the number of dots on the boundary of the polygon.

So, plugging in the values we have: A = 14 + (8/2) - 1 = 14 + 4 - 1 = 17

Therefore, the area of the polygon is 17 square units.However, we have to remember that the dots are spaced one unit apart, horizontally and vertically.

Therefore, each square that is enclosed by the polygon has an area of 1 square unit. We counted 17 such squares, so the total area enclosed by the polygon is 17 square units.

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A rectangle is constructed on a semicircle so that the length equals the diameter. The width of the rectangle is approximately 10.65 inches.

Generally, Let the width of the rectangle be x. Then the length of the rectangle is 3x.

The diameter of the semicircle is also the length of the rectangle, so it is 3x.

The area of the rectangle is x*(3x) = 3x^2. The area of the semicircle is (1/2)πr^2, where r is the radius of the semicircle. Since the diameter of the semicircle is 3x, the radius is (3x)/2. The area of the semicircle is (1/2)π((3x)/2)^2 = (9/8)πx^2.

The total area of the figure is the sum of the area of the rectangle and the area of the semicircle. We can set up the equation:

3x^2 + (9/8)πx^2 = 750

(21/8)πx^2 = 750

x^2 = 750/(21/8)*π

x = √(750/(21/8)*π)

To find the approximate dimensions of the rectangle, we can use the fact that pi is approximately 3.14. This gives us:

x = √(750/(21/8)*3.14)

= √(750/6.71)

= √(112.64)

= approximately 10.65 inches.

The width of the rectangle is approximately 10.65 inches. The length of the rectangle is 3 times the width, so it is approximately 31.95 inches.

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One of the factors of the given quadratic expression is (x+2).

The given quadratic expression is:

\(6x^{2} +7x-10\)

Any expression of the form \(ax^{2} +bx+c\) is called a quadratic expression where a≠0.

Splitting the middle term of the given expression

\(6x^{2} +12x-5x-10\)

\(6x(x+2)-5(x+2)\)

\((x+2)(6x-5)\)

Hence, one of the factors of the given quadratic expression is (x+2).

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This article would be best suited to a text structure of Problem and Solution.

Research on the development of literacy during the previous two decades has revealed:

A literary device that introduces a problem in the first paragraph and section before moving on to how to solve it in the following paragraph or section.

Example:

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Answer:

C. G(x) is a negative number with a small absolute value

Step-by-step explanation:

As x increases, G(x) goes towards 0 from the a negative quadrant.

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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Answer: ok

Step-by-step explanation:

Answer:

I think A but i'm not sure

Step-by-step explanation:

A magnitude 1.0 star is about 2.5 times brighter than a magnitude 2.0.

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as  .

   \(log_ax=N\)

where, a is the base of function or equation

           x = expression or equation

Mathematically, if  \(a^N=x\)  is an exponential function then, this can be converted to logarithmic function as  \(log_ax=N\).

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms are :

We use the given formula:

\(m_2 - m_1 = -2.5 log \frac{b_2}{b_1}\)

now m2 = 2.0 and m1 = 1.0

Hence,

\(m_2 - m_1 = -2.5 log \frac{b_2}{b_1}\\\\= > 2.0 - 1.0 = -2.5 log \frac{b_2}{b_1}\\\\= > -1.0 = -2.5 log \frac{b_2}{b_1}\\\\= > log \frac{b_2}{b_1} = 0.4\\\\= > \frac{b_2}{b_1} = 10^{0.4} = 2.5 approx.\)

Thus,  magnitude 1.0 star is about 2.5 times brighter than the magnitude 2.0 star.

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Answer: To determine how much more money the son receives than the daughter, we need to calculate the amounts each of them receives based on the given ratio.

The total ratio is 9 + 7 = 16.

Let's find out the share of the son and daughter:

Son's share = (9/16) * $100

Daughter's share = (7/16) * $100

Calculating these amounts:

Son's share = (9/16) * $100 = $56.25

Daughter's share = (7/16) * $100 = $43.75

The son receives $56.25, and the daughter receives $43.75. To find out how much more money the son receives than the daughter, we subtract the daughter's share from the son's share:

Son's share - Daughter's share = $56.25 - $43.75 = $12.50

Therefore, the son receives $12.50 more than the daughter.

The son receives $12.5 more than the daughter in this question about sharing money in a given ratio.

To find out how much more money the son received than the daughter, we need to calculate the difference between the amounts they received.

Let's first calculate the total ratio.

9 + 7 = 16

Now, we can divide $100 in the ratio 9:7.

Son's share = (9/16) * $100 = $56.25

Daughter's share = (7/16) * $100 = $43.75

The son received $56.25 and the daughter received $43.75. Therefore, the son received $12.5 more than the daughter.

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Answer: Stacey now bakes 36 cinnamon bagels.

Step-by-step explanation:

Given:  Each morning, Stacey makes 20 cinnamon bagels.

She has increased the number she bakes each morning by 80%.

Number of cinnamon bagels Stacey bake = 20+80% of  20

= 20+ (0.80)x 20           [To remove % , divide number by 100, So 80%=0.08]

= 20+16   [(0.80)x 20=16 ]

= 36

Hence, Stacey now bakes 36 cinnamon bagels.

If you have your period every 4 weeks

Thare are 52 weeks in a year

If every matchbox contains no more than 20% defective matches, then at least 80% of the matches in a box must be intact. The minimum number of intact matches in a 43-match box manufactured by that factory is 34.

To find the minimum number of intact matches in a 43-match box, we need to multiply 43 by 80% (or 0.8):
43 x 0.8 = 34.4
Since we can't have a fraction of a match, we round down to the nearest whole number. Therefore, the minimum number of intact matches in a 43-match box manufactured by that factory is 34.
In a 43-match box manufactured by that factory, no more than 20% of the matches can be defective. To find the minimum number of intact matches, we can calculate the number of defective matches and subtract it from the total.
20% of 43 matches = (20/100) * 43 = 8.6
Since there can't be a fraction of a match, we round up to the nearest whole number, which is 9 defective matches. Now, subtract the number of defective matches from the total:
43 matches - 9 defective matches = 34 intact matches
The minimum number of intact matches in a 43-match box manufactured by that factory is 34.

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Answer:

Explanations:

Answer:

that is a great question, could u explain more? im serious

Step-by-step explanation:

Answer:

The large squares represent X squared, and had two sides, blue and red, to determine whether it is positive or negative (blue = positive, red = negative). There is also the long rectangles that represent X, with the positive side being green and the negative red. The side length of X is the same side length of X squared, which makes sense because X multiplied by X equals X squared. The smallest square pieces represent the number 1. The colours are yellow for positive and red for negative. These are the basic pieces used in algebra tiles. Hope this helps

Step-by-step explanation:

The average rate of change from x = -9 to x = -1 of the graph of the given function is 0.

We know that the rate of change of a function is nothing but the slope of the line.

The slope of the line is given by;

Slope = Change in y-coordinate / change in x-coordinate

We are given the graph of a function.

We need to find the average rate of change from x = -9 to x = -1.

Let us find the value of y or f(x) for the given value of x.

For x = -9, y = 2

For x = -1, y = 2.

Put the values of x and y in the slope formula, we will get;

Slope = (2 - 2) / (- 1 - (-9)) = 0

So, the rate of change of function is 0.

Thus, the average rate of change from x = -9 to x = -1 of the graph of the given function is 0.

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We know that Gary's age is 11 years old. So, we just have to use an expression to indicate someone's age.

Let's consider the expression:

This expression represents Mr. Smith's age who is 27 years old. Let's prove it using Gary's age.

The elements of the complement of set K (K') are {1, 4, 6, 8, 9}.

The elements of the complement of set K (K'), we need to determine all the elements in the universal set that are not in set K.

The universal set, denoted as U, is defined as the set of positive integers less than 10.

The elements in the universal set U are {1, 2, 3, 4, 5, 6, 7, 8, 9}.

Set K is defined as the set of prime numbers.

The prime numbers less than 10 are {2, 3, 5, 7}.

To find the complement of set K (K'), we need to identify all the elements in the universal set U that are not in set K.

K' = U - K

Substituting the values, we have:

K' = {1, 2, 3, 4, 5, 6, 7, 8, 9} - {2, 3, 5, 7}

Performing the set difference operation, we remove the elements in set K from the universal set U:

K' = {1, 4, 6, 8, 9}

These are the positive integers less than 10 that are not prime numbers.

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Derivative for question 7:  F'(x) = 1 / (1 + (2x)²) * 2 / (2x) = 2 / (2x + 4x³)

Derivative for question 10:  (F(x) = ln(sec(54)) is f'(x) = tan(54).

For Question 7:

To find the derivative of the given function, which is F(x) = arctan(ln(2x)), we need to apply the chain rule. Let's break it down into steps.

Step 1: Start by differentiating the inner function, ln(2x), with respect to x. The derivative of ln(u) is 1/u multiplied by the derivative of u with respect to x. In this case, u = 2x, so the derivative of ln(2x) is 1/(2x) multiplied by the derivative of 2x, which is 2.

Step 2: Now, differentiate the outer function, arctan(u), with respect to u. The derivative of arctan(u) is 1/(1+u²).

Step 3: Apply the chain rule by multiplying the derivatives obtained in Step 1 and Step 2. We have 1/(1+(2x)²) multiplied by 2/(2x). Simplifying this expression gives us the final derivative:

F'(x) = 2 / (2x + 4x³).

For Question 10:

The function F(x) represents the natural logarithm (ln) of the secant of 54 degrees. To find its derivative, we can apply the chain rule.

Let's denote g(x) = sec(54). The derivative of g(x) can be found using the chain rule as g'(x) = sec(54) * tan(54), since the derivative of sec(x) is sec(x) * tan(x).

Next, we need to find the derivative of ln(u), where u is a function of x. The derivative of ln(u) with respect to x is given by (1/u) * u', where u' represents the derivative of u with respect to x.

In this case, u = g(x) = sec(54), and u' = g'(x) = sec(54) * tan(54).

Applying the chain rule, the derivative of F(x) = ln(sec(54)) is:

f'(x) = (1/g(x)) * g'(x) = (1/sec(54)) * (sec(54) * tan(54)).

Simplifying this expression, we get f'(x) = tan(54).

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The expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4

The expression is given as:

(-2)^4/(-2)^2

Apply the law of indices

(-2)^4/(-2)^2 = (-2)^(4 -2)

4 - 2 has the same value as 6 - 4

So, we have:

(-2)^4/(-2)^2 = (-2)^(6-4)

Apply the law of indices

(-2)^4/(-2)^2 = (-2)^6/(-2)^4

Hence, the expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4

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Answer:

What are you asking? I can't understand

Server: Content Deleted; Error (673)

Answer:

34, 15, -4, -23 and -42

Step-by-step explanation:

We are to find the first five sequence

when n = 1

f(2) = f(1) - 19

f(2) = 34 - 19

f(2) = 15

when n = 2

f(2+1) = f(2) - 19

f(3) = f(2) - 19

f(3) = 15 - 19

f(3) = -4

when n = 3

f(3+1) = f(3) - 19

f(4) = f(3) - 19

f(4) = -4 - 19

f(4) = -23

when n = 4

f(4+1) = f(4) - 19

f(5) = f(4) - 19

f(5) = -23 - 19

f(5) = -42

Hence the first five terms  in the arithmetic sequence are 34, 15, -4, -23 and -42

The Stem plot is displayed below of eighteen faculty members in a college math department range in age from 32 to 68.

How do you make a stem plot?

On the left hand side of the page, write down the thousands, hundreds or tens (all digits but the last one). These will be your stems. Draw a line to the right of these stems. On the other side of the line, write down the ones (the last digit of a number).

A Stem Plot is a chart for demonstrating the distribution of numeric variables .

It is used to analyze the shape of the distribution.

The data provided is as follows:

S = {32,48,99,40,35,69,53,47,89,96,38}

The Stem plot is displayed as follows:

3 | 2  5   8

4 | 0  7  8

5 | 3

6 | 9

8 | 9

9 | 6  9

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