( 3 × 10^ 6 ) + ( 3 × 10 ^6 )

Answer:

29

Step-by-step explanation:

87 / 3 = 29

If you can use a calculator it shouldn't be on brainly...

Answer:

Algebraic Expressions

This calculator builds algebraic expressions based on word representations of numbers using the four operators and the words that represent them(increased,product,decreased,divided,times) Also known as Mathematical phrases

Factorials

Calculates the following factorial items:

* A factorial of one number such as n!

* A factorial of a numerator divided by a factorial of a denominator such as n!m!/a!b!

* Double Factorials such as n!!

* Stirlings Approximation for n!

Step-by-step explanation:

Ty pa follow narin po brainly and thank you for the points

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]

Answer:

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

I'm pretty sure on this!

Answer:

C. f(3)=27

Step-by-step explanation:

f(3)=-4(3-6)+15

f(3)=-4(-3)+15

f(3)=12+15

f(3)=27

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

Answer:

see below

Step-by-step explanation:

mean: 4.5

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

mode: 4.5

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:

C: 2 to 1.

Step-by-step explanation:

Jocelyn eats 3*2 = 6 cookies.

So required ratio = 6:3

= 2:1.

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

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:

a. written response

Step-by-step explanation:

an open question uses what the reader gathers :)

The reason why the advertisement misleading is: Number of size which is 20 is a very sample size to make this conclusion valid.

Advertisement can be defined as the process of creating awareness about a product so as to increase sales.

Based on the given scenario the advertisement is misleading based on the following reasons:

Therefore The reason why the advertisement misleading is: Number of size which is 20 is a very sample size to make this conclusion valid.

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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 !!!

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:

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:

yes

Step-by-step explanation:

3.4% = .034

.034 x 45 = 1.53

1.53$ + 45$ = 46.53$

46.53$ > 50

yes, he dose have enough money

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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[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]

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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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.

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:

Step-by-step explanation:

3,2

the lines meet at 2 y, and 3 x

X goes first, and y goes second

Answer:

GCF

Step-by-step explanation:

sorry if you dont understand

Answer:

4

Step-by-step explanation:

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

Answer:

9

Step-by-step explanation:

Y intercept when x = 0

Y = 9

where m is slope and b is y-intercept

Hence,

Here given equation: y = ½ x + 9

Identify,

slope: ½ and y-intercept: 9

Answer:

46.875%

Step-by-step explanation:

increase mass = 4.7 - 3.2 = 1.5kg

percentage increase = 1.5/3.2 = 46.875%

Answer:

3.1415

×=18

×=(2)

2 If you need something else?

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:

2(length) +2(width)=perimeter

2(3(width))+2(width)=72

8×width=72

width=9

length=3×9=27

area=27×9

247=area

Step-by-step explanation: