The ratio of a to b is constant, and
a = 9 when b = 6. What is the value of
b when a = 2?

Answer:

19/9

Step-by-step explanation:

Divide 19/9 using calculator or long division to check.

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Camille need 5 balls of wool to crochet a blanket for her new baby cousin.

Unitary Method:

Unitary method is the method in which the value of a unit quantity is first calculated to get the value of any quantity is called the unitary method.

Given,

Camille wants to crochet a blanket for her new baby cousin. her pattern calls for 900 yards of thick, soft wool. she already has 200 feet of wool left from another project. at the craft store, she notices that each ball has 500 feet of wool.

Here we need to find the number of wool balls she need.

Let us consider x be the amount of wool balls she need.

Then,

wool needed - 900 yards

We know that,

1 yard = 3 feet

Then 900 yards will be equal to

=>  900 x 3 = 2700 feet

Now, She has - 200 feet

And we know that,

each ball at store contains - 500 feet

So it can be written as,

=> 200 + 500x = 2700

=> 500x = 2500

=> x = 2500/500

=> x = 5

Hence she need to buy 5 balls of wool from the store to get the required length of wool.

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Answer:

1032x

Step-by-step explanation:

[tex]3x+4x+\cdots+43x=x(3+4+\cdots+45) \\ \\ =43x\left(\frac{45+3}{2} \right) \\ \\ =43(24x) \\ \\ =1032x[/tex]

Answer:

He needs to get 100% on his next test

Explanation:

(59 + 80 + 65 + 96 + 100) / 5

Using the length of the perimeter of the Pacman is: 29.29 mm.

Length of an arc = ∅/360 × 2πr

The length of the perimeter of the Pacman = length of the larger arc formed + 2r

∅ = 360 - 55 = 305°

r = 4.00 mm

The length of the perimeter of the Pacman = ∅/360 × 2πr + 2r

Substitute

The length of the perimeter of the Pacman = 305/360 × 2π(4.00) + 2(4.00)

The length of the perimeter of the Pacman = 21.29 + 8.00

The length of the perimeter of the Pacman = 29.29 mm

Therefore, using the length of the perimeter of the Pacman is: 29.29 mm.

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Step-by-step explanation:

[tex] \sqrt{3x - 1} - 2 = 0[/tex]

[tex] \sqrt{3x - 1} = 2[/tex]

[tex] \sqrt{3x - 1} = \sqrt{4} [/tex]

[tex]3x - 1 = 4[/tex]

[tex]3x = 4 + 1[/tex]

[tex]3x = 5[/tex]

[tex]x = \frac{5}{3} [/tex]

The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the parent function is:

g(x) = |x|.

The translated function is:

f(x) = 3|x + 1| - 6.

The multiplication by 3 means that the function was stretched vertically by a factor of 3, hence:

The 3 will make the parent function vertically stretch by a factor of 3.

At x -> x + 1, we have that the function was shifted one unit left, hence:

The x + 1 will make the parent function shift horizontally left 1 unit.

For the subtraction by 6, the function was shifted down 6 units, hence:

The -6 will make the parent function shift vertically down 1 unit.

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Answer:

3.3m each day.

Step-by-step explanation:

The equation will be 18.2 = 5 + 4m18.2=5+4m

Solve for m to get 4m = 13.24m=13.2

m = 3.3m=3.3

She would have to ride 3.3 miles each day to meet her goal.

Answer: 3.3 miles per day

Step-by-step explanation: 13.2/ 4=3.3

(-23/20) in a decimal form long division will be equal to (-1.15)

As per the question statement, we are provided with a fraction: (-23/20).

We are required to calculate the simplest form of the fraction in decimals using to the long division method.

The long division method works with 4 component: dividend, divisor, quotient and remainder. And the steps to perform the long division method are as follows:

Step 1: To take the first digit of the dividend from the left and check if this digit is greater than or equal to the divisor.

Step 2: Then, to divide it by the divisor and write the answer on top as the quotient.

Step 3: To subtract the result from the digit and write the difference below.

Step 4: To bring down the next digit of the dividend (if present).

Step 5: To Repeat the same process.

Hence, converting the fraction (-23/20) to decimal values using the process of long division method mentioned above, we get (-1.15).

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y = \frac{-x}{2 } + \frac{1}{4}  + ce^-{2x} is  the general solution to the differential equation put the problem in standard form.

What is meant by integrating factor?

x² + 2xy + x . dy/dx = 0

x dy/dx  + 2xy = [tex]- x^{v}[/tex]

[tex]\frac{dy}{dx} =+ 2y = -x[/tex]

[tex]left u(x) = e^{\int\limits^_ {} } 2dx = e^{2x}[/tex]

integration  factor p(x) = u(x) = [tex]e^{2x}[/tex]

Now ,multiply  [tex]e^{2x}[/tex] both sides

[tex]e^{2x} ( \frac{dy}{dx} + 2y ) = -x . e^{2x}[/tex]

[tex]e^{2x} \frac{dy}{dx} + 2e^{2x} . y = -x e^{2x}[/tex]

[tex]\frac{d}{dx} (e^{2x} .y) = -x e^{2x}[/tex]

integrate both sides

∫ [tex]d .( e^{2x} .y )[/tex]     = ∫[tex]-xe^{2x} .dx[/tex]

[tex]e^{2x} .y = -\frac{e^{2x}}{2} . x + \frac{e^{2x}}{4} + c[/tex]

[tex]y = \frac{-x}{2 } + \frac{1}{4} + ce^-{2x}[/tex]

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The complete question is -

Find the general solution to the differential equation 2 dy X+ + 2xy + x dx = 0 Put the problem in standard form. Find the integrating factor, p(x) = 2x - Find y(x) Use C as the unknown constant.

Answer:

Step-by-step explanation:

You want a table of values of the function sin(3x)/x as x nears zero, and an estimate of the limit of the function value as x → 0.

The function f(x) = sin(3x)/x is an even function. That is ...

  f(-x) = sin(-3x)/(-x) = -sin(3x)/-x = sin(3x)/x = f(x)

When f(-x) = f(x), the function is even. It is a reflection of itself across the y-axis. This means all of the function values for negative x-values are the same as for the corresponding positive x-values. We only need to fill in half the table to know what the other half looks like.

See the attachment for values calculated by a spreadsheet and rounded to 8 decimal places.

The table shows the difference from 3 gets smaller as x gets closer to 0. If we add more rows to the spreadsheet table (2nd attachment), we see that the value gets even closer to 3 as x nears zero. At x = 10^-7, we run up against the accuracy limits of the spreadsheet.

The limit of the expression is 3 as x approaches 0.

Answer:

the answer i got is 2 (x+1) (2x^2-2x+1) / x :)

Answer:

[tex]\frac{2x}{x-1}[/tex]

Step-by-step explanation:

[tex]\frac{4x^2+4x}{2x^2-2}[/tex] ← factor numerator and denominator

= [tex]\frac{4x(x+1)}{2(x^2-1)}[/tex] ← cancel 4 and 2 on numerator/denominator by 2

= [tex]\frac{2x(x+1)}{x^2-1}[/tex] ← x² - 1 is a difference of squares

= [tex]\frac{2x(x+1)}{(x-1)(x+1)}[/tex] ← cancel (x + 1) on numerator and denominator

= [tex]\frac{2x}{x-1}[/tex]

He will earn 2603.16 dollar in one year.

An expression is a collection of terms that have been joined together using the operations +, -, or x, such as 4 x 3 or x 2 - x y + 17.

Two expressions are said to be equal in value by an equation, such as 4 b 2 = 6.

Given:

A copy of the entire query is provided below:

45w+ 155

He will therefore save

=45*6+155

=270+155 =425 dollars

so,  w=6.

Knowing that a year equals 52 weeks

Also,

w=52 and

w²/25+45w+155

Thus,

=52*52/25+45*52+155

=108.1602340+155

= $263.16

Hence, he will make $2603.16 in a year.

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[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 +2}{2}~~~ ,~~~ \cfrac{ 5 -6}{2} \right) \implies \left(\cfrac{ -6 }{2}~~~ ,~~~ \cfrac{ -1 }{2} \right)\implies \left(-3~~,~~-\cfrac{1}{2} \right)[/tex]

Answer:

12*10^4 lbs.

Step-by-step explanation:

This is the correct answer because you have to count using scientific notation by seeing the amount of times the decimal point has moved to the left which makes it positive.

The total weight of the two animals is 12x10⁴ lbs if the approximate weights of the two animals are 5.36 x 10⁴ lbs. and 6.2 x 10⁴ lbs.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

The approximate weights of the two animals are 5.36 x 10⁴ lbs. and 6.2 x 10⁴ lbs.

The total weight = 5.36 x 10⁴ + 6.2 x 10⁴

The total weight = (5.36+ 6.2)10⁴

The total weight = 11.56x10⁴

Or

The total weight = 12x10⁴ lbs

Thus, the total weight of the two animals is 12x10⁴ lbs if the approximate weights of the two animals are 5.36 x 10⁴ lbs. and 6.2 x 10⁴ lbs.

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Answer:

634342

FACTOR:

2 x 317171

The derivative of the function using the definition of derivative is 3.

The given function is g(t) = 3t.

We have to find the derivative of the function using the definition of derivative.

We know that,

Definition of derivative:-

The derivative of a function is the rate of change of the function's output relative to its input value.

Here,

Input value = t

Output value = g(t)

Given y = g(t), the derivative of g(t), denoted g'(t) (or dg(t)/dt), is defined by the following limit:

[tex]g'(t)= \lim_{h \to 0} \frac{g(t+h)-g(t)}{h}[/tex]

We have the function:-

g(t) = 3t

Hence, according to the data given in the question, we can write,

g'(t) =

[tex]\lim_{h \to 0} \frac{g(t+h)-g(t)}{h} \\\\ \lim_{h \to 0} \frac{3(t+h)-3(t)}{h}\\\\ \lim_{h \to 0} \frac{3t+3h-3t}{h}\\\\ \lim_{h \to 0} \frac{3h}{h}\\\\\lim_{h \to 0} 3[/tex]

g'(t) = 3

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Answer:

The prime factorization of 196 is 196 = 2 × 2 × 7 × 7 and can be represented as 196 = 2 2 × 7 2 using exponents.

Answer:

2² × 7² = 196

Step-by-step explanation:

The required coordinates are (6, 5).

Let A denotes the point (4, 3), and B denotes the point (9, 8).

Let C denote the point which divides the line segment AB in the ratio of 2:3.

The distance between A(4, 3) and B(9, 8) is given by

AB = √{(x₂ - x₁)² + (y₂ -y₁)²}

= √{(9 - 4)² + (8 - 3)²

= √{5² + 5²}

= √(2×5²)

= 5√2

We have AC + BC = AB

AC and BC are in the ratio 2:3.

Therefore 2x + 3x = AB

⇒5x = 5√2

⇒x = √2.

Therefore, AC = 2√2 and BC = 3√2.

Using the distance formula,

AC = √{(x - 4)² + (y - 3)²}

⇒ 2√2 = √{(x - 4)² + (y - 3)²}

⇒ √(2² + 2²) = √{(x - 4)² + (y - 3)²} (taking the 2 inside the square root.)

⇒ x - 4 = 2 ⇒ x = 6

⇒ y - 3 = 2 ⇒  y = 5.

Therefore the required coordinates are (6, 5).

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The 82nd Percentile is 89.784

The formula n = (P/100) x N, where P is the percentile, N is the number of values in a data collection (ordered from least to largest), and n is the ordinal rank of a particular value, can be used to determine percentiles. In order to comprehend exam scores and biometric measurements, percentiles are routinely utilized.

The values' percentiles as determined by the formula are displayed below.

Percentile Value 0th = 51.7 5th = 68.1 10th = 69.36 15th = 71.24 20th = 72.92 25th = 74.6 30th = 75.86 45th = 80.38 60th = 84.34 65th = 85.38 70th = 87.12 75th = 88.4 80th = 89.4 85th = 90.84 90th = 92.44 95th = 95.2 100th = 100.1

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The cost for her to purchase the fence is $108.

Since she wants to put a wire fence around her garden which is 12 feet long and 6 feet wide, the total perimeter will be:

= 2(length + width)

= 2(12 + 6)

= 36 feet

Therefore, the cost will be:

= Total feet × Amount

= 36 × $3

= $108

Therefore, the cost for her to purchase the fence is $108.

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Answer:

x = -1

Step-by-step explanation:

5x + 3y = 26

- (6x + 7y = 21)

_________

-x - 4x = 5

-5x = 5

x = -1

Answer:

35

Step-by-step explanation:

Answer:

Oh! WoW

Very nice questions .

Step-by-step explanation:

Please provide full question

The G.C.F of the given algebraic expression is; ⁴⁹/₆a xy

The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.

We are given the algebraic expression;

(3 x y * 4x²y * ¹/₁ * 5x³y ^ z * 4)7a * 1/1 * 7*6

Expanding this further gives;

⁴⁹/₆a((3xy * 4x²y * 20x³y ^ z )

Now, the GCF of the terms inside the bracket would be x y. Thus, expanding the GCF  we have;

⁴⁹/₆a xy((3 * 4x * 20x²y^(z - 1))

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The value of y for the given input x=7 is 15.

The given function is  y=2x+1.

We need to graph the given function.

Graphing functions is the process of drawing the graph (curve) of the corresponding function. Graphing basic functions like linear, quadratic, cubic, etc is pretty simple, graphing functions that are complex like rational, logarithmic, etc, need some skill and some mathematical concepts to understand.

Now,

Graph the line using the slope and y-intercept, or two points.

Slope: 2

y-intercept: (0, 1)

Plot the points (0, 1) and (1, 3)

The value of y for x=7 is y=2(7)+1=15

Therefore, the value of y for the given input x=7 is 15.

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Answer:

give a situation where you are adapted a holistic view in looking at a problem or situation: my own