How many 5/8's are in 1? Its supposed to be a mixed number (ex, 1 1/3)

There are expected to be about 225,000 millipedes in the area of rainforest in 20 years time. Rounded to the nearest 100, this is 225,100.

What is percentage growth rate?

The exponential function with a growth factor has a rate greater than 1

We can use the formula for exponential growth to answer this question:

P(t) = P₀(1 + r)ᵗ

where P₀ is the initial population, r is the annual growth rate as a decimal, t is the number of years, and P(t) is the population after t years.

a) For the first part of the question, we can plug in the given values and solve for P(5):

P₀ = 50

r = 0.62

t = 5

P(5) = 50(1 + 0.62)⁵ ≈ 763

Therefore, there are expected to be about 763 millipedes in the area of rainforest in 5 years time.

b) For the second part of the question, we can plug in the given values and solve for P(20):

P₀ = 50

r = 0.62

t = 20

P(20) = 50(1 + 0.62)²⁰ ≈ 225,000

Therefore, there are expected to be about 225,000 millipedes in the area of rainforest in 20 years time. Rounded to the nearest 100, this is 225,100.

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Answer: 480

Step-by-step explanation: Since this is a triangle, we are using 1/2 * base * height. So since the height is 15, and the base is 64, that would equal 960. Then we are going to divide it by 2, which equals 480.

Plotting the data and visually examining the connection between x and y equation is often the best method for identifying which equation best describes the line of best fit.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions.

Based on the above equations, y = x + 5 or y = x - 5 would be the most plausible contenders. Both of these equations have the typical slope for a linear connection, which is a straight line slope of 1.

While the y-intercept of the equation y = x + 15 has a significantly bigger value than would be predicted based on the other possibilities, the slope of the equation is 1. Similar to that, the slope of the equation y = 2x - 15 is 2.

Plotting the data and visually examining the connection between x and y is often the best method for identifying which equation best describes the line of best fit.

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Answer:

the average payout should be $157,100

hope this helps <3

The equation for the function shown in the given table is y = 4x + 2 OR 4x - y = -2. The graph of the equation is attached below

From the question, we are to determine the equation for the function

From the the given table,

When x = 0, y = 2

and when x = 1, y = 6

We can determine the equation for the function by using the formula,

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

From above

x₁ = 0

y₁ = 2

x₂ = 1

y₂ = 6

Thus,

(y - 2)/(x - 0) = (6 - 2)/(1 - 0)

(y - 2)/x = 4/1

1 × (y - 2) = 4 × x

y - 2 = 4x

y = 4x + 2

OR

4x - y = -2

Hence, the equation is y = 4x + 2

The graph of the equation is attached below

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Hope this helps!  the screenshot is inserted and the explanation and answer are there

Using the unitary method, we found that the equivalent amount of 750 US Dollars in Egyptian pounds is 1100 Egyptian pounds.

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit and then multiplying that value to determine the required value. Therefore, the goal of this method is to establish values in relation to a single unit. Always write the things that need to be calculated on the right side and the things that are known on the left side to simplify things. The unitary approach must be applied whenever we need to determine the ratio of one quantity to another.

Given,

 The amount of money  in US dollars = 750 US Dollars

The conversion to Egyptian pounds can be done using the unitary method.

1 usd = 18.48 Egyptian pounds

The unitary method can be used to convert single units to multiple units.

So,

750 usd = 750 * 18.48 = 1110 Egyptian pounds.

Therefore using the unitary method, we found that the equivalent amount of 750 US Dollars in Egyptian pounds is 1100 Egyptian pounds.

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Answer: We cannot solve this problem as there is a mistake in the equation you provided.

16 x 12 is not equal to 102. The correct answer is 192.

To find the weight of each cookie, we need to know the total weight of the box of cookies. Let's call the weight of the box "W".

Since there are 16 servings in the box and each serving contains 4 cookies, there are a total of 16 x 4 = 64 cookies in the box.

To find the weight of each cookie, we can divide the total weight of the box by the number of cookies:

Weight of each cookie = W / 64

Without knowing the weight of the box, we cannot determine the weight of each cookie.

Step-by-step explanation:

The three points that divide the line segment joining the given points into four equal parts are \((3.5, -1.25)\), \((4, -1.5)\), and \((4.5, -1.75)\)

To find the three points that divide the line segment joining the given points into four equal parts, we can use the Midpoint Formula repeatedly. The Midpoint Formula is given by:

\[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]

Let's first find the midpoint of the given line segment:

\[ \text{Midpoint} = \left( \frac{3 + 5}{2}, \frac{-1 + (-2)}{2} \right) = \left( 4, -1.5 \right) \]

Now we can use the Midpoint Formula again to find the two other points that divide the line segment into four equal parts. Let's first find the midpoint of the line segment joining the points \((3, -1)\) and \((4, -1.5)\):

\[ \text{Midpoint} = \left( \frac{3 + 4}{2}, \frac{-1 + (-1.5)}{2} \right) = \left( 3.5, -1.25 \right) \]

And then let's find the midpoint of the line segment joining the points \((4, -1.5)\) and \((5, -2)\):

\[ \text{Midpoint} = \left( \frac{4 + 5}{2}, \frac{-1.5 + (-2)}{2} \right) = \left( 4.5, -1.75 \right) \]

So the three points that divide the line segment joining the given points into four equal parts are \((3.5, -1.25)\), \((4, -1.5)\), and \((4.5, -1.75)\).

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Anika has R283362.97 after 5 years of compound interest. She can use this money to start her bakery.

Anika invested, R180000 at 9.5% compound interest for 5 years. To find out how much money she has now, we need to use the formula for compound interest:

A = P(1 + r)^t

Where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the number of years. Plugging in the values we have:
A = R180000(1 + 0.095)^5
A = R180000(1.095)^5
A = R180000(1.574)
A = R283362.97

So Anika has R283362.97 after 5 years of compound interest. She can use this money to start her bakery.

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The cost of A Plus Advertising will be less than the cost of Print and More if the number of flyers to be printed and delivered is greater than 160.

Let's assume that the number of flyers to be printed and delivered is "x".

The cost of A Plus Advertising can be represented as:

Cost_A = 0.10x + 24

The cost of Print and More can be represented as:

Cost_P = 0.25x

To find out for how many flyers the cost of A Plus Advertising is less than the cost of Print and More, we need to set up an inequality:

Cost_A < Cost_P

0.10x + 24 < 0.25x

Subtracting 0.10x from both sides, we get:

24 < 0.15x

Dividing both sides by 0.15, we get:

160 < x

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Its means that either statement p is false or statement q is true

The symbolic statement that needs to be translated into words is not provided in the question. However, I will provide an example of how to translate a symbolic statement involving the statements p and q into words.

Example: p ∧ q

This symbolic statement can be translated into words as follows: "You mowed the lawn and you left the room a mess." The symbol ∧ represents the logical conjunction "and", which means that both statements p and q are true.

Another example: ¬p ∨ q

This symbolic statement can be translated into words as follows: "You did not mow the lawn or you left the room a mess." The symbol ¬ represents the logical negation "not", and the symbol ∨ represents the logical disjunction "or", which means that either statement p is false or statement q is true.

I hope this helps! If you have a specific symbolic statement that you need help translating, please provide it in the question and I will be happy to help.

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The constant of proportionality for the Amador family is obtained as k = 7.50.

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If the cost t varies directly with the number of thousand cubic feet of natural gas g used, we can write -

t = kg

where k is the constant of proportionality, which represents the cost per thousand cubic feet of natural gas.

Since the Amador family pays $7.50 per thousand cubic feet of natural gas, we have -

k = 7.50

Therefore, the equation relating the total cost t to the number of thousand cubic feet of natural gas g used is -

t = 7.50g

This means that for every thousand cubic feet of natural gas used, the cost is $7.50.

If the Amador family uses 10,000 cubic feet of natural gas, the total cost would be -

t = 7.50(10) = $75

If they use 20,000 cubic feet of natural gas, the total cost would be -

t = 7.50(20) = $150

Therefore, the COP value is k = 7.50.

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A non-Abelian group is a group in which the order of the elements matters, meaning that the order that they are written in changes the outcome of the operation.

An automorphism is a transformation that preserves the group structure and is an isomorphism fromGto itself. SinceGis a non-Abelian group, its elements are not all the same, meaning that there is a difference between some elements.

This difference can then be used to generate an automorphism that is not the identity. For example, an automorphism in a groupGcould exchange two elements,g1andg2, and then evaluate the group operation on the exchange.

This automorphism does not leave the group unchanged, and therefore is not the identity. In conclusion, a non-Abelian groupGhas an automorphism that is not the identity because its elements are not all the same and can be exchanged to generate a new automorphism.

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(a) The standard form of the equation of the given circle is (x + a/2)² + y² = (a/2)².

(b) The center point and radius of the circle is (-a/2, 0) and a/2, respectively.

(c) The center point and radius of the circle (-9/2, 0) and 9/2, respectively.

a) The equation for these circles in standard form is (x + a/2)² + y² = (a/2)². This is derived from the given equation by completing the square for the x term.

b) The center point of these circles is (-a/2, 0) and the radius is a/2. This can be seen from the standard form of the equation, where the center point is (h, k) and the radius is r in the equation (x - h)² + (y - k)² = r².

c) For the equation x² + y² + 9x = 0, the center point is (-9/2, 0) and the radius is 9/2. This is found by completing the square for the x term and comparing it to the standard form of the equation for a circle.

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Answer:

The median is the middle value when a set of data is arranged in order from smallest to largest.

First, let's arrange the given shoe sizes in order:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5

The median of this data set is 6.5 because it is the middle value.

Now, let's add a shoe size of 9 to the data set:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, 9

The new median of this data set is 7, which is greater than the previous median of 6.5.

Therefore, the answer is: The median increases to 7.

Answer: The median increases to 7.

Step-by-step explanation: I took the test and got a 100%

By answering the above question, we may state that Shade the region to line the left of the open circle, since x is less than 4.

A line is a geometric object that is infinitely long and has no width, depth, or curvature. A line, which can also exist in two-, three-, and more-dimensional spaces, is therefore a one-dimensional object. A line is often used to refer to a line segment with two points as its endpoints. A line is a flat, one-dimensional object that may extend indefinitely in both directions and has no thickness. The terms "straight line" or "old correct line" are sometimes used to describe a line that has no "wobble" anywhere along its length.

plot the inequality 4x-22<-6 on a number line,

4x - 22 + 22 < -6 + 22

4x < 16

4x/4 < 16/4

x < 4

Plot an open circle at 4 on the number line to indicate that x is not included in the solution set.

Shade the region to the left of the open circle, since x is less than 4.

The resulting graph should look like this:

     ○----------------->

     |  |  |  |  |  |  |

   -∞  -5  -4  -3  -2  -1  0  1  2  3  4  5  6

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The eigen values of the matrix A are 2, -2, and 7, and the corresponding eigen vectors are [1,1,2], [1,-2,0], and [2,1,1].

To find the eigen values and eigen vectors of the matrix A=([2,2,0],[2,1,1],[-7,2,-3]), we first need to find the characteristic equation of the matrix. This is done by finding the determinant of (A-λI), where λ is the eigenvalue and I is the identity matrix.

The characteristic equation is:
|A-λI| = |[2-λ,2,0],[2,1-λ,1],[-7,2,-3-λ]| = 0

Expanding the determinant, we get:
(2-λ)((1-λ)(-3-λ)-2) - 2(2(-3-λ)+7) + 0 = 0

Simplifying the equation, we get:
-λ³ + 6λ² - 5λ - 14 = 0

The eigen values are the roots of this equation. We can use the rational root theorem to find the possible rational roots of the equation, which are ±1, ±2, ±7, and ±14. By testing these values, we find that the eigen values are λ=2, λ=-2, and λ=7.

Now, we can find the eigen vectors by plugging the eigen values back into the equation (A-λI)v=0, where v is the eigen vector.

For λ=2, we get:
([2-2,2,0],[2,1-2,1],[-7,2,-3-2])v = 0
([0,2,0],[2,-1,1],[-7,2,-5])v = 0

The eigen vector for λ=2 is v = [1,1,2].

For λ=-2, we get:
([2+2,2,0],[2,1+2,1],[-7,2,-3+2])v = 0
([4,2,0],[2,3,1],[-7,2,-1])v = 0

The eigen vector for λ=-2 is v = [1,-2,0].

For λ=7, we get:
([2-7,2,0],[2,1-7,1],[-7,2,-3-7])v = 0
([-5,2,0],[2,-6,1],[-7,2,-10])v = 0

The eigen vector for λ=7 is v = [2,1,1].

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Surface area of the triangular prism which is a compound shape has an area of: 878mm².

The combined area of one or more circles and simple polygons is known as the area of the composite forms. The areas of every basic shape can be added together to determine the area of the composite shapes. Simply calculate each shape's area separately, then put them together to get the area of composite shapes.

Now in the question, we have 2 triangles with base, b =31mm and height, h = 14mm

Now area of both the triangles = 2 × 1/2 × b × h

= 2×1/2×14×31

=434mm²

Now we have three different rectangles.

In the first rectangle, length, l = 27mm and breadth, b = 6mm

Area of the rectangle as we know = l × b

= 27 × 6

= 162mm²

In the second rectangle, l = 16mm and b = 6mm

Area = 16 × 6

= 96mm²

In the final rectangle, l = 31mm and b = 6mm

Area = 31 × 6

= 186mm²

Therefore, the total surface area = 162 + 434 + 96 + 186 = 878mm².

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Answer:

The 6.5% compounded annually would get you the most money. This is because, when compounded annually, the interest is calculated on the original sum plus the interest already earned. Over the four year period, this would result in total interest earned being higher than if the interest was compounded daily, as the interest earned each day would be calculated on the original sum only. For example, with a 6.5% compounded annually rate, at the end of the fourth year you would have a total of $127.82, whereas with a 6.3% compounded daily rate, you would have a total of $126.56

Step-by-step explanation:

Answer:it would be 25

Step-by-step explanation:

Answer:30.69230769 in decimal form

399/13 in percent form

30 9/13 in fraction form

These are all the means in different forms.

Step-by-step explanation:

Answer:

x=0

Step by step explanation:

cos (a+b) = cos(a) cos(b) -sin (a) sin (b)

Same identity forms in question.

L.H.S -cos (x+60)

Now write it in the form of sin .

sin [90-(60+x)]

Equal to RHS

R.H.S - 30

90-(60+x)=30

30-x=30

x=0

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The answer to the equation cos195°cos285° is -1/4.

An equation is a mathematical statement that asserts the equality of two expressions. Equations are used to describe relationships between different quantities and can be used to solve for unknown values. Equations are typically written as symbols, but can also be written in words. Simple equations might involve addition, subtraction, multiplication, and division, while more complex equations may involve exponents, logarithms, and trigonometric functions. Equations can be used to model and understand real-world phenomena, such as calculating projectile motion, or predicting the behavior of a chemical reaction.

This is derived from the trigonometric identity cos{60°−x}cosx – sin(60°−x)sinx. This identity states that the cosine of the sum of two angles is equal to the product of the cosines of each angle minus the product of the sines of each angle.

By substituting the angles 195° and 285° into the identity, we get cos{60°−195°}cos195° – sin(60°−195°)sinx. When we use the values of the angles, we get cos{-135°}cos195° – sin(135°)sinx. We can then simplify this to -1/4cos195° – 0sinx. As the sine of the angle is 0, this simplifies to –1/4cos195°. As the cosine of 195° is -1/4, the answer to the equation cos195°cos285° is -1/4.

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Answer:

c. 3

Step-by-step explanation:

Answer:

360 people pledged $25.

Step-by-step explanation:

You'll need to set up only one equation to solve this.

Let's use x for the number of people who pledged $50. Since twice as many people pledged $25, it would be 2x. Keep this in mind for later.

Multiply 2x by 25, and you should get 50x. Now, your equation is 50x + 50x = 18,000. Simplify this to 100x = 18,000.

Now, divide both sides by 100. After doing so, you should have x = 180. This is how many people pledged $50. To find how many pledged $25, plug the value of x into 2x. (In other words, multiply 180 by 2.) After doing so, you should get 360. This is how many people pledged $25.

Hope this helps!

The value of x is 3  and the sides of given rectangle are 3,3,9,9.

What is Area of rectangle ?

area of rectangle can be defined as product of length and breadth.

From the given figure ,

it is given that ,

perimeter of rectangle = 24 cm

and the sides are ,

x,x,x+6,x+6

so we know that perimeter of rectangle = 2 (l+b)

that is,

24 = x+x+x+6+x+6

24 = 4x + 12

4x = 12

x = 3

Therefore, The value of x is 3  and the sides of given rectangle are 3,3,9,9.

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There are 9 possible comparisons that Adnan can write using the temperatures of the three nearby cities.

Combinations are the procedures used in mathematics to pick k things from n different items without replacement.

The following formula computes the combinations of k items from n:

(n, k) = n! / k!×(n-k)!

Let's say that Adnan looks up the current temperature in three nearby cities and writes down their temperatures as T1, T2, and T3.

To compare the temperatures, Adnan can choose any two of the temperatures and write a comparison of them.

Since there are three temperatures, there are a total of three possible pairs of temperatures that Adnan can choose:

1. T1 and T2

2. T1 and T3

3. T2 and T3

For each pair of temperatures, Adnan can write a comparison in one of three ways:

T1 is greater than T2 (T1 > T2)

T1 is less than T2 (T1 < T2)

T1 is equal to T2 (T1 = T2)

So, Adnan can write a total of nine possible comparisons of the temperatures:

T1 > T2,

T1 < T2,

T1 = T2,

T1 > T3,

T1 < T3,

T1 = T3,

T2 > T3,

T2 < T3, and

T2 = T3.

These are all the possible comparisons that Adnan can write using the temperatures of the three nearby cities.

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The given function is (3x^(3)-2x^(2)+3)/(x-1). To express it in the form q(x)+(r(x))/(b(x)), we need to use polynomial long division.

First, divide the first term of the numerator, 3x^(3), by the first term of the denominator, x:

3x^(3)/x = 3x^(2)

Now, multiply this result by the denominator and subtract it from the numerator:

(3x^(3)-2x^(2)+3) - (3x^(2)(x-1)) = -2x^(2)+3x^(2)-3

Simplify:

x^(2)-3

Next, divide the first term of the new numerator, x^(2), by the first term of the denominator, x:

x^(2)/x = x

Multiply this result by the denominator and subtract it from the new numerator:

(x^(2)-3) - (x(x-1)) = -3+x

Simplify:

x-3

Since the degree of the new numerator is less than the degree of the denominator, we can stop here. The final result is:

q(x) = 3x^(2)+x

r(x) = x-3

b(x) = x-1

So, the function can be expressed as:

(3x^(3)-2x^(2)+3)/(x-1) = 3x^(2)+x + (x-3)/(x-1)

In HTML format, the answer would be:

<p>(3x^(3)-2x^(2)+3)/(x-1) = 3x^(2)+x + (x-3)/(x-1)</p>

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Lesley has 5/9 of the counters that Adam initially had.

An element of a number or any number of equal parts is represented by a fraction. There is a fraction with an upper value (numerator) and a lower value (denominator) (lower value).

Ten of the 18 counters that Adam had were given to Lesley. Lesley currently possesses 10 counters.

We must divide Lesley's total number of counters by Adam's starting total number of counters in order to determine the proportion of the 18 counters that Lesley has:

Lesley has 10/18 counters, which is her percentage.

By dividing the numerator and denominator by their 2 greatest common factor, we may simplify this fraction:

Lesley has a fraction of the counters she needs: (10 ÷ 2) / (18 ÷ 2) = 5/9

Lesley now owns 5/9 of the counters that Adam started with.

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