Kudzu is a fast-growing vine found in the southeastern United States. An initial measurement of the length of a kudzu vine was 0.5 meter. Seven days later the plant was 4 meters long.

c. Assuming that the growth rate of the plant continues, how long will the plant be after 15 days?

10in × 20in  is size paper should she use. That is, option J . 10in × 20in  is the correct answer.

What are examples of linear equations?

The given size of the painting is 3 feet wide and 6 feet long.

The value of 1 foot in inches,

1 foot  = 12inches.

The size of the painting is 36 inches wide and 72 inches long.

width is, ( 0.25 × 36 ) = 9 inches. So option F . 4in × 8 in is not the answer and

the length is, ( 0.25 × 72 ) = 18 inches. So option G 6in × 12in and  H. 8inch × 16 in are not the possible choices.

So, the reduced dimensions of the dilated painting are 9 inches wide and 18 inches long.

That is, option J . 10in × 20in is the correct answer.

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Answer:

x= -6/5

Step-by-step explanation:

-6=3x+2x

-6=5x

x=-6/5

Answer:

x = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

- 2x = 3x + 6 ( subtract 3x from both sides )

- 5x = 6 ( divide both sides by - 5 )

x = - [tex]\frac{6}{5}[/tex]

Simplification of the equation [tex]\frac{x}{3x+9}- \frac{8}{x^{2} +3x}[/tex] is equal to (x² -24)/ 3x(x+3), restriction on the variables are x ≠0 , x≠ -3.

As given in the question,

Given equation [tex]\frac{x}{3x+9}- \frac{8}{x^{2} +3x}[/tex]

Simplify the given equation,

x/ 3(x+3) - 8/x(x+3)

= (x² - 24) / 3x(x+3)

Restriction on the variables for the above equation is,

x≠ 0 , x≠ -3

Therefore, simplification of the equation [tex]\frac{x}{3x+9}- \frac{8}{x^{2} +3x}[/tex] is equal to (x² -24)/ 3x(x+3), restriction on the variables are x ≠0 , x≠ -3.

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I can't answer it but i hope someone else does :)

Maybe the answer - But there are limits depending on whether you donate the funds to a “50% charity” or a “30% charity.” As the name implies, the total deduction for gifts to 50% charities cannot exceed 50% of a taxpayer's adjusted gross income (AGI). Accordingly, donations to 30% charities are limited to 30% of AGI.

The arithmetic mean a n of the given terms a n₋₁ = 4, a₊₁ = -3 is [tex]a_{n}[/tex] = 1/2.

an=a1+d(n−1)   by using this formula the arithmetic mean a n of the given terms are

[tex]a_{n}[/tex] = (-3 + 4)/2

[tex]a_{n}[/tex] = 1/2

The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics.

The arithmetic mean can be calculated as one approach. Divide the total by the total number of values after adding up all the values. Add the numbers together, for instance: a + b + c + d and so on, if there is a set of "n" numbers.

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If the cost of renting a pool at an aquatic center is either 30 per hour or 20 per hour with a 40 non-refundable deposit, then the cost of renting the pool is the same for both plans for 4 hours.

The number of hours for which the cost of renting the pool will be the same for both plans can be calculated by using an algebraic expression.

An algebraic expression is a type of equation that consists of both numbers and letters.

An algebraic expression for this problem can be given as,

30(x) = 20(x) + 40

Where x is equal to the number of hours.

The value of x can be calculated by rearranging the equation,

30(x) - 20(x) = 40

10(x) = 40

x = 40 ÷ 10

x = 4

Thus, the number of hours for which the cost of renting the pool same for both plans is 4 hours.

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Answer:

43.57

Step-by-step explanation:

subtract 6.43 from 50

Answer: 43.57

Step-by-step explanation:  50 dollars minus 6 dollars and 43 cents and it gives you 43.57

Limit the domain to x > 0 for it to be one to one

The function is given as:

f(x)= x^4

The above function is an even function

This means that

f(x) = f(-x)

So, for the function to be one to one, we have to limit the function to only the positive x values

Hence, limit the domain to x > 0 for it to be one to one

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Answer:

Step-by-step explanation:

32 / 4 = 8 = length or width (because it is a square both are the same)

8 + 2 = 10

10 + 10 + 10 + 10 = 40 (perimeter of outer fence)

32(1.18) + 40(1.18) = $84.96

Answer:26

Step-by-step explanation:it's 26

Answer:

26

Step-by-step explanation:

You add 24 + 2 = 26 ( SUM means to ADD )

The sum of the infinite geometric series 6+5+ 25/6 + . .  is S = 36

The given geometric series is:

  6 + 5 +  25/6 + . . .

The common ratio (r) of a geometric series is given by:

  r = a(n) / a(n - 1)

Notice that in the given series:

a(1) = 6

a(2) = 5

a(3) = 25/6

Hence, the common ratio is

   r = a(2) / a(1) = 5/6

Since 0 < r < 1, the series is convergent and the sum exists.

Use the sum formula:

S = a(1) / (1 - r)

Substitute a(1) 6 and r = 5/6 into the formula:

S = 6 / (1 - 5/6)

   = 6 / (1/6)

   = 36

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Answer:

(5+10)u

= 15u

is the solution

( - ∞ , + ∞) is  the possible domain and range for this situation.

What is the domain function?

Because C(s) = 8s + 15  one off function.

So,   s ∈ R

80 the domain is defined as ( - ∞ , + ∞)

b)  because s ∈ R

So ,  C(s) ∈   ( - ∞ , + ∞)

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The complete question is -

Consider the U.S. Shirts function, C(s) = 8s + 15. What expression in the function equation represents: a. the domain of the function? b. the range of the function? 5. Describe the possible domain and range for this situation.

The equation of the circle x^2 + (y - 4)^2 = 11 has a radius of √11 and a center located at (0 , 4).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, x^2 + (y - 4)^2 = 11, is in standard form, then

h = 0

k = 4

r = √11

Hence, the equation of the circle x^2 + (y - 4)^2 = 11 has a radius of √11 and a center located at (0 , 4).

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We have given the expression -13y + 7 -11 - 4y to write as sum which is

-13y + 7 +(-11) + (-4y).

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. (Number/variable, Math Operator, Number/variable) is the order in which an expression is composed.

Arithmetic operators and numbers make up a mathematical numerical expression. No equality or inequality symbols, or unidentified variables, are present.

Indeterminate variables, integers, and arithmetic operators make up an algebraic expression. Neither equality nor inequality symbols can be found in it.

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Answer: 49

Step-by-step explanation:

A=πr^2

A=π(7)^2

A=49π in^2

Answer: 49

Answer:

154 Inches square.

r=7

area= πr^2

= 22/7* 49

= 154

Answer:

1/3 n = n - 12  Cross multiply

n = 3(n - 12)

n = 3n -36

2n = 36

n = 36/2

n = 18

Check:

1/3 (18) = 18 - 12

6 = 6

Hope this helps

Answer:

−2322q−6945

Step-by-step explanation:

Simplify  129(2q+6) * 9 to 1161(2q + 6)

Expand by Distributing terms

21 - (2322q + 6966)

Remove parentheses.

21 - 2322q - 6966

Collect like terms.

-2322q + (21−6966)

Simplify

-2322q - 6945

Done

Answer:

Mind you that the average rate of change is the gradient. Commonly we get it by using the formula that requires us to have also the y coordinates.

we can find them by plugging in the x-values in the function g(x)

x=1

[tex]g(1)=-2(1^{2} )-1\\g(1)=-3\\\\g(6)=-2(6^{2})-1\\ g(6)=-73[/tex]

now we have the points (1,-3) and (6,-73)

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

that is the formula we will use

[tex]=\frac{-73-(-3)}{6-1} \\=\frac{-70}{5} \\=-14[/tex]

Answer: 25/2

Step-by-step explanation:

coverting the mixed numbers into improper fractions we get

17/5+91/10

getting a common denominator and adding the numerators we get 125/10

then we can simplify, which gets 25/2

The forecast for the next period when the actual demand turned out to be 278 will be 294 units.

The method of forecasting entails creating assumptions based on historical and current data. These might then be contrasted with what transpires.

Ft = 290, Tt = 8, α = 0.40, δ = 0.50, At = 278. Then the forecast for the next period will be

FITt = Ft + Tt

       = 290 + 8

       = 298 units

Ft + 1 = FITt + α(At − FITt)

        = 298 + 0.40(278 − 298)

        = 298 − 8

        = 290 units

Tt + 1 = Tt + δ(Ft + 1 − FITt)

         = 8 + 0.50(290 − 298)

         = 8 − 4

         = 4 units

FITt + 1 = Ft + 1 + Tt + 1

            = 290 + 4

            = 294 units

The forecast for the next period will be 294 units.

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If x is doubled then the value of y is also doubled.

A sort of proportionality known as "direct variation" occurs when one quantity immediately changes in response to a change in another variable. This suggests that if one number increases, the other quantity will also rise proportionately. Similar to the last example, if one quantity declines, the other amount likewise declines. The link between direct variation and the graph will be linear, resulting in a straight line.

As y varies directly with x,

Using direct variation,

which implies y = kx

if x is doubled,

y = 2kx,

This implies that if x is doubled then the value of y is also doubled.

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Using the concept of the or operation, the solution of the given inequality in the number line is given at the graph in the end of the answer.

The or operation between sets has as a result all the elements that belong to at least one of the sets.

For this problem, we have two inequalities:

Then we solve the inequality then apply the or operation between them.

The solutions to the inequalities are given as follows:

The or operation will involve both the numbers to the left of k = -7 and the numbers to the right of k = 3 being plotted on the number line, as shown in the graph at the end of the answer.

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The point slope form of (1,10) and (5,42) is (y - 10) = 8(x - 1).

A straight line is represented using its slope and a point on the line using point slope form. In other words, the point slope form is used to determine the equation of a line whose slope is "m" and passes through the point (x1, y1).

given that

the coordinates points are (1, 10) and (5,42)

(x1,y1) = (1,10)

(x2, y2) = (5,42)

The formula of point-slope is

(y - y1) = m(x - x1)

Here,

x1 = 1 and y1 = 10 but we don't know the value of m.

now,find the value of m using the following formula

[tex]m = \frac{(y2 - y1)}{(x2 - x1)} [/tex]

now, substitute the values, we get

[tex]m = \frac{(42 - 10)}{(5 - 1)} [/tex]

[tex]m = \frac{30}{4} [/tex]

m = 8

so, the value of m is 8.

substitute these values into the point-slope formula

(y - 10) = 8(x - 1)

Hence, the point slope form of (1,10) and (5,42) is (y - 10) = 8(x - 1).

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The largest area that can be enclosed will be 2812.5 square meters.

The perimeter of a rectangle is given as:

2L + 2W  ∴ L = length and W = width

As the farmer does not want to fence the side along the river, then the formula will be:

P = L + 2w

Now

150 = L + 2w

L = 150 - 2w

Here the area is LW

Area = (150 - 2W)(W)

After solving we get

150 - 2W = 0 or W = 0

150 - 2W = 0

2W = 150

W = 75

Now, there are two solutions whether 0 or 75

Let's find their average 0+75 / 2 = 37.5

Now L = 150 - 2(37.5)

L = 150 - 75

L = 75

As the dimensions are L = 75 and W = 37.5

Area = L x W = 75 x 37.5 = 2812.5 square meters

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The complete question is:

Farmer Ed has 150 meters of fencing and wants to enclose a rectangular play that borders a river. If farmer Ed does not fence in the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?

If there are 420 grams of Element X, then it would take 100.7 of a minute to take the element to decay to 4 grams.

Given that the element X decays radioactively with a half life of 15 minutes.

We are required to find the time that would take the 420 grams of element X would take the element to decay to 4 grams.

Radioactive decay is basically the emission of energy in the form of ionizing radiation.

4=420*[tex](1/2)^{x/15}[/tex]

x=15* [tex]log_{2}[/tex] (105)

x=15*log (105)/log (2)

x=15*2.0212/0.3010

x=30.318/0.3010

x=100.72

After rounding it will be 100.7 of a minute.

Hence if there are 420 grams of Element X, then it would take 100.7 of a minute to take the element to decay to 4 grams.

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Answer: 78 pounds

Step-by-step explanation:

10.4/4 = 2.6

2.6 * 30 = 78

  The algebraic expression or sigma (summation) notation is given by:

∑ = 10(100 + 10)/2

And its value is ∑ = 550

 The sigma notation is a mathematical operation used to determine the final value of the sum of "n" terms consecutively, when dealing only with numbers without variables this is known as an arithmetic series.

  The equation for this type of problem is:

∑ = n(a1 + an)/2

  Our values are:

100+90+80+ . . . . . . +10

∑ = 10(100 + 10)/2

∑ = 10(110)/2 = 5(110)

∑ = 550

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