find maclaurin series

Answer:

20.58 (21)

Step-by-step explanation:

5127/250 = 20.58

if the coils are only be imported in full form your gonna need 21

Answer:

21 cables

Step-by-step explanation:

Because the cables come in 250-foot coils, you cannot have a piece of one cable. So, if you take the total amount of cable you need (5,127 feet) and divide it by how long a single cable is (250 feet).

5,127 divided by 250 is 20.508, but you cannot have a piece of one cable. So, you round up to the nearest whole number, 21.

Answer:

a

20cm squared

b

18cm

c

5cm

d

80cm

Step-by-step explanation:

a

Area is height multiplied by length in a regular quadrilateral

b

Perimeter is calculated by adding all the sides together

c

0.5 is effectively halving, so instead of 4 multiplied by 5 it is 2 multiplied by 2.5

d

2 is effectively doubling, so instead of 4 multiplied by 5 it is 8 multiplied by 10

Answer:

Step-by-step explanation:

Q1(a)

Q1(b)

Q1(c)

Q1(d)

Answer:

a. written response

Step-by-step explanation:

an open question uses what the reader gathers :)

Answer:

see below

Step-by-step explanation:

mean: 4.5

median: 1,1,4,4,5,5,8,8

mode: 4.5

Answer:

56.55

Step-by-step explanation:

a=3.14*r^2/2

r=6

3.14*6^2/2

3.14*36/2

113.04/2

56.55

Answer:

2/13 or 0.15 ,  1/4 and 5 /18 or 0.28

Step-by-step explanation:

20/26 ÷ 5 =?

10/13 ÷ 5 = 2/13 or 0.15

28/56 ÷ 2 =?

1/2 ÷ 2 = 1/4

75/90 ÷ 3 =?

5/6 ÷ 3 =5 /18 or 0.28

Step-by-step explanation:

The feet long that the board is

[tex] = 6 \frac{1}{2} \\ [/tex]

The piece of board cut off

[tex] = 1 \frac{3}{4} + 2 \frac{2}{3} \\ [/tex]

[tex] = \frac{1 \times 4 + 3}{4} + \frac{2 \times 3 + 2}{3} \\ [/tex]

[tex] = \frac{7}{4} + \frac{8}{3} \\ [/tex]

[tex] = \frac{7}{4} \times \frac{3}{3} + \frac{8}{3} \times \frac{4}{4} \\ [/tex]

[tex] = \frac{21}{12} + \frac{32}{12} \\ [/tex]

[tex] = \frac{53}{12} \\ [/tex]

The original board left

[tex] = 6 \frac{1}{2} - \frac{53}{12} \\ [/tex]

[tex] = \frac{13}{2} - \frac{53}{12} \\ [/tex]

[tex]= \frac{13}{2} \times \frac{6}{6} - \frac{53}{12} \times \frac{1}{1} \\ [/tex]

[tex] = \frac{78 - 53}{12} \\ [/tex]

[tex] = \frac{25}{12} \\ [/tex]

[tex] = 2 \frac{1}{12} \\ [/tex]

hope it helped !!!

Answer:

( -2 , 0 ) , (1 , 0 ) , (-2 , 3 )

I'm pretty sure on this!

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

Characteristics of the graph of the inequality-

The linear inequality given in the problem is,

[tex]2x - 3y < 12[/tex]

The graph of this line is attached below. Here, for the greater than sign, every thing on the left of the graph is shaded, and the line will be dotted because of inequality as shown in the attached image.

Hence, on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

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If the price of the car is $22,500 in 2000. Then the value of the car in 2011 with a decay of 5% every year is $12,798.

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

A car was purchased in 2000 for $22,500.

It has depreciated at a rate of 5% per year.

Then the price of the car in 2011 will be

The decay function is modeled as

[tex]\rm A = P(1-r)^t[/tex]

The number of years has been passed is 11.

Then we have

[tex]\rm A = 22,500(1-0.05)^{11}\\\\A = \$ \ 12798[/tex]

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Answer:  about 700 pounds

According to the Poetry Foundation, a woodchuck would chuck As much wood as a woodchuck could chuck, If a woodchuck could chuck wood Researchers at Cornell determined that a woodchuck could chuck about 700 pounds.

Answer:

Step-by-step explanation:

3,2

the lines meet at 2 y, and 3 x

X goes first, and y goes second

Answer:

Number of logs:

1. 48

2. 14

3. 90

4. 48

5. 100

Total: 300

Step-by-step explanation:

Just multiply the height with the number of trees then divide by 6. This is in theory if the length of all the trees were conjoined, as there would most likely just be less, then 300. This is because the remainder would be that of the multiplied trees height instead of getting the remainder of wood from each tree. So in case you want to try doing that option, simply divide the height first in feet by 8, then multiply that by the number of trees to give you an accurate answer of logs.

Answer:

  see attached

  total: 300 logs

Step-by-step explanation:

When calculations are repetitive, it is convenient to let a spreadsheet do them.

Here, the number of logs per tree is found by dividing the tree height by 8 feet. The number of logs from trees that height will be found by multiplying the number of trees by the number of logs that height will give.

The total number of logs is the sum of the numbers from all the tree heights.

__

The total number of logs is 300. (The rightmost column of the attached spreadsheet matches the rightmost column of your table.)

Answer:

4

Step-by-step explanation:

[tex]\frac{20}{360}=\frac{x}{72}\\x = 4[/tex]

Answer:

GCF

Step-by-step explanation:

sorry if you dont understand

Answer:

46.875%

Step-by-step explanation:

increase mass = 4.7 - 3.2 = 1.5kg

percentage increase = 1.5/3.2 = 46.875%

2 = 1/8

2 x 8 = 16

16 = 8/8

2 gray rabbits is 1/8 of 16. The store has 16 rabbits.

because if 2 rabbits are gray. and is those two = 1 eighth. then two rabbits would equal 1 out of eight. so whats two x eight? 16. it just seems like the logical answer.

First would be subtraction ( do inside parentheses first)

2ndwould be multiplication

3rd would be division

4th would be addition

7 x 6 / (13-10) + 4

7 x 6 / 3 + 4

42 / 3 + 4

14 + 4 = 18

Expand f(z) into partial fractions:

[tex]\dfrac1{z(z-2)} = \dfrac12 \left(\dfrac1{z-2} - \dfrac1z\right)[/tex]

Recall that for |z| < 1, we have the power series

[tex]\displaystyle \frac1{1-z} = \sum_{n=0}^\infty z^n[/tex]

Then for |z| > 2, or |1/(z/2)| = |2/z| < 1, we have

[tex]\displaystyle \frac1{z-2} = \frac1z \frac1{1 - \frac2z} = \frac1z \sum_{n=0}^\infty \left(\frac 2z\right)^n = \sum_{n=0}^\infty \frac{2^n}{z^{n+1}}[/tex]

So the series expansion of f(z) for |z| > 2 is

[tex]\displaystyle f(z) = \frac12 \left(\sum_{n=0}^\infty \frac{2^n}{z^{n+1}} - \frac1z\right)[/tex]

[tex]\displaystyle f(z) = \frac12 \sum_{n=1}^\infty \frac{2^n}{z^{n+1}}[/tex]

[tex]\displaystyle f(z) = \sum_{n=1}^\infty \frac{2^{n-1}}{z^{n+1}}[/tex]

[tex]\displaystyle \boxed{f(z) = \frac14 \sum_{n=2}^\infty \frac{2^n}{z^n} = \frac1{z^2} + \frac2{z^3} + \frac4{z^4} + \cdots}[/tex]

The ratio of the black tiles to White tiles​ in a school Cafeteria in which new tile floor is installed within a checkerboard is 3/22.

The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.

A new tile floor in the school cafeteria has been installed within a checkerboard alternating of black and white only.

There is a total of 25 tiles including 22 White tiles. Here,

Thus, the total number of white tiles is,

[tex]25-22=3[/tex]

Thus, there is total 3 white tiles. The ratio of black tiles to White tiles​ is,

[tex]r=\dfrac{3}{22}\\[/tex]

Thus, the ratio of the black tiles to White tiles​ in a school Cafeteria in which new tile floor is installed within a checkerboard is 3/22.

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The quadratic function which has zeros −3 and 5 and contains the point (4, 14) is 2x²+4x+30 and the vertex points are (-1,28).

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

ax²+bx+c=0

Here,(a,b, c) is the real numbers and (x) is the variable.

A quadratic function has zeros −3 and 5 and contains the point (4, 14). The factored form of quadratic equation is,

f(x)=a(x-z₁)(x-z₂)

Here, z₁ and z₂ are the zeros. Thus,

f(x)=a(x-z₁)(x-z₂)

f(x)=a(x-(-3))(x-5)

f(x)=a(x+3)(x-5)

This equation contains the point (4,14). Thus,

14=a(4+3)(4-5)

14=a(7)(-1)

a=14/-7

a=-2

Put the value in above equation and solve it further:

f(x)=-2(x+3)(x-5)

f(x)=-2(x²-5x+3x-15)

f(x)=-2x²-4x-30

Change the sign,

f(x)=2x²+4x+30

The equation of the quadratic function in standard form is,

f(x)=2(x+1)²+28

Thus, the vertex point are -1 and 28. Similarly, the section equation which contains the point (1, −48) can be solved.

Hence, the quadratic function which has zeros −3 and 5 and contains the point (4, 14) is 2x²+4x+30 and the vertex points are (-1,28).

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The function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x  - 783

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given data:

Game(x):              13      14     15      16       17     18

Attendance(y):    348   435  552  609   696  783

If plot these points on a coordinate plane, we will see these points will align in a straight line.

We know we can find a line equation with two points:

(13, 348) and (14, 435)

[tex]\rm (y - 435) = \dfrac{435-348}{14-13}(x-14)[/tex]

y - 435 =87(x-14)

y = 87x  - 783

Thus, the function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x  - 783

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Answer:

m = -1/4

Step-by-step explanation:

4y + x = 8

Arrange the equation in a slope intercept form y = mx+b, where m is the slope

4y + x = 8, subtract x from both sides

    4y = -x +8, divide both sides by 4

      y = -x/4 + 8/4 , simplify

      y = -x/4 + 2, compare this to the general form y=mx+b and we see that the slope m = -1/4

Answer:

m = -1/4

Step-by-step explanation:

4y + x = 8

Arrange the equation in a slope intercept form y = mx+b, where m is the slope

4y + x = 8, subtract x from both sides

   4y = -x +8, divide both sides by 4

     y = -x/4 + 8/4 , simplify

     y = -x/4 + 2, compare this to the general form y=mx+b and we see that the slope m = -1/4

Answer:

C: 2 to 1.

Step-by-step explanation:

Jocelyn eats 3*2 = 6 cookies.

So required ratio = 6:3

= 2:1.

[tex]\\ \rm\Rrightarrow log_2z+2log_2x+4log_9y+12log_9x-2log_2y[/tex]

So

[tex]\\ \rm\Rrightarrow log_2z+log_2x^2-log_2y^2+log_9y^4+log_9x^{12}[/tex]

[tex]\\ \rm\Rrightarrow log_2(zx^2)-log_2y^2+log_9(y^4x^{12})[/tex]

[tex]\\ \rm\Rrightarrow log_2\left(\dfrac{zx^2}{y^2}\right)+log_9(y^4x^{12})[/tex]

Answer:

[tex]\log_2\dfrac{x^2z}{y^2}+\log_9x^{12}y^4[/tex]

Step-by-step explanation:

Log laws

[tex]\textsf{Product law}: \quad \log_axy=\log_ax + \log_ay[/tex]

[tex]\textsf{Quotient law}: \quad \log_a\frac{x}{y}=\log_ax - \log_ay[/tex]

[tex]\textsf{Power law}: \quad \log_ax^n=n\log_ax[/tex]

Given expression:

[tex]\log_2z+2\log_2x+4\log_9y+12\log_9x-2\log_2y[/tex]

Group terms with same log base:

[tex]\implies \log_2z+2\log_2x-2\log_2y+4\log_9y+12\log_9x[/tex]

Apply the power law:

[tex]\implies \log_2z+\log_2x^2-\log_2y^2+\log_9y^4+\log_9x^{12}[/tex]

Apply the product law:

[tex]\implies \log_2x^2z-\log_2y^2+\log_9x^{12}y^4[/tex]

Apply the quotient law:

[tex]\implies \log_2\dfrac{x^2z}{y^2}+\log_9x^{12}y^4[/tex]

Answer:

3.1415

×=18

×=(2)

2 If you need something else?

The quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

A gallon is a British unit which is used for the measurement of liquids that is equal to eight pints. In Britain, it is equal to about 4.546 litres. In America, it is equal to about 3.785 litres.

It is given in the question that:-

Richard fills his pool at a rate of 6 gallons per minute.

Jason's pool already contains 200 gallons, and he fills it at a rate of 2 gallons per minute.

After 20 minutes the amount of liquid in the tank will be:-

For Richard = 6 gallons per minute. x  20  minutes= 120 gallons

For Jason= 2 gallons per minute  x  20  =40 gallons

Jason has 200 gallons already in the tank

So it will become = 200+24=240 gallons.

Hence  quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

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Answer:

if there's only one ice cream flavor the chances are 100%, if there are two ice cream flavors the chance will be the half of the first one which will make it 50%. if there are three it'll be the ⅓ of the first one which will make it 33.3%. So the probability that Juan will place the mint flavor will be 33.3% (I don't know I just say it.)

Answer:

43%

Step-by-step explanation:

If there are 43 yellow marbles out of 100 total, the fraction that will be used is 43/100. The percentage is found by dividing the numerator (top) by the denominator (bottom). The percentage is the first two numbers in the decimal. For future reference, if a decimal were to have more than 2 or 3 digits, the number would be rounded to the 4th and the decimal point would be placed between the 2nd and 3rd digits.