How to write one billion,three hundred million,two hundred and sixty six thousand in figure

Answer:

12

Step-by-step explanation:

Here we use SOHCAHTOA

Seeing as we have the hypotenuse and we are working to find out the opposite, we use SOH

Sin(x)= Opposite/Hypotenuse

Sin(45) = x/\(12\sqrt{2} \\\)

×12 root 2

sin(45) times 12 root 2=  12

x=12

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

\(\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x\)

Calculating the value of \((\frac{g}{f})(2)\):

\(\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)\)

               \(=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\\)

x=\(- \frac{\sqrt{3}}{2}\) and x=\(\frac{\sqrt{3}}{2}\) are not in the domain.

Domain: \(x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)\)

The image coordinates of K′ if the preimage is reflected across y = −7 is (-4, -8)

Based on the given question, we have certain variables that can be utilized for our calculations.

K = (-4, -6)

First, find the equation of the reflection line

The reflection line is y = -7.

This can be expressed as

y = a = -7

The image of the reflection is then calculated as

K' = (x, -(y + 2|a|))

Replace the given or established values in the equation mentioned earlier, resulting in the following expression

K' = (-4, -(-6 + 2 * 7))

Evaluate

K' = (-4, -8)

Hence, the image coordinates of K′ are (-4, -8).

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Answer: 2a/3 + b/3

Since it has two different variables, there is no final answer. To find the answer, you must first expand the equation and then apply the fraction rule.

The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

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The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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Answer:

a 1 over 25

Step-by-step explanation:

Problem Statement:

     What is the value of  \(\frac{5^{4} }{5 ^{6} }\) ?

To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them.

Exponents are used by scientists to report higher orders of a number.

Such large and often recurring expression is usually made up of a base and an exponent value.

The exponent value is the power of the base;   for example, 4³ has 4 as its base and 3 as the exponent.

Several rules guides solving an exponent, to this problem, the most applicable one is :

                            \(\frac{x^{a} }{x^{b} }\)  =  \(x^{(a-b)}\)

                           \(\frac{5^{4} }{5 ^{6} }\)   =  \(5^{4-6}\)  

                                 = \(5^{-2}\)

                                 = \(\frac{1}{25}\)                                  

Therefore the solution is 1 over 25

Answer:

a 1 over 25

Step-by-step explanation:

The gallons of a 80​% antifreeze solution must be mixed with 70 gallons of ​25% antifreeze to get a mixture that is ​70% ​antifreeze is  x=315

Use a weighted average........ let x = an unknown number of gallons of the 80​% solution.

then     {x(80​%) + 70 (25%)}/{x +70} =70% ​

{x*\(\frac{80}{100}\) + 70*\(\frac{25}{100}\)}/{x +70} =70% ​

{\(\frac{4x}{5}\) +17.50}/{x +70} =70% ​

\(\frac{4x+87.5}{5x+350}\) = \(\frac{70}{100}\)

40x+875 = 35x + 2450

40x-35x = 2450-875

5x = 1575

x=315

Keep in mind that the substance with the highest concentration is the solvent.

There are numerous varieties of solutions. A solute, for instance, could be a gas, a liquid, or a solid. Additionally, solvents can be solids, liquids, or gases.

The behavior of several types of solutions at the microscopic level is depicted in the following illustrations. You'll see that the solute particles are evenly spaced out among the solvent particles in each instance.

A solution is a homogeneous mixture of one or more solutes dissolved in a solvent. solvent: the substance during which a solute dissolves to produce a homogeneous mixture. solute: the substance that dissolves during a  solvent to produce a homogeneous mixture. The solute is the substance that is being dissolved, while the solvent is the dissolving medium. Solutions are often formed with many different types and forms of solutes and solvents.

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Answer:

c. ( 5 )

          :)   :)    :)

Answer:

Step-by-step explanation:

Two standard deviations gives 95%.

It means 100% - 95% = 5% out of 100 containers are likely not to be distributed.

5% of 100 containers is 5*100/100 = 5 containers.

Correct choice is C

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

Answer:

h*g)(5) = h(g(5)) = 29.

Step-by-step explanation:

To find (h*g)(5), we first need to calculate g(5) and h(g(5)), then multiply the two.First, we need to evaluate g(5):g(5) = -2^2 + 2(5) = -4 + 10 = 6Next, we need to evaluate h(g(5)):h(g(5)) = h(6) = 4(6) + 5 = 24 + 5 = 29Therefore, (h*g)(5) = h(g(5)) = 29.

Answer:

The population in 6 years will be 42,960.

Step-by-step explanation:

First, multiply 7.2% or 0.072 and 30,000 which will give you 2,160.

Then, 2,160 by the number of years (6) which is 12,960.

Lastly add 12,960 and 30,000 to get 42,960.

Hope this helps and I hope u have an Amazing day!

Answer:

• Height= 21 sin56°

• The area of this triangle is approximately equal to 104 squared centimeters.

• The units are centimeter (for height) and squared centimeter (for the area)

Explanation:

The sides lengths of the triangle are 12 cm and 21 cm respectively.

The included angle (angle between the two given sides) is 56 degrees.

The diagram representing this is attached below.

Using trigonometric ratios, the expression for the height to the 21 cm side is:

We know that the area of a triangle is calculated using the formula:

• The area of this triangle is approximately equal to 104 squared centimeters.

• The units are centimeter (for height) and squared centimeter (for the area).

The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }

Given data ,

Let the geometric sequence be represented as A

Now , the value of A is

A = 12 ( -2/5 )ⁿ

On simplifying , we get

when n = 1

A₁ = 12 ( -2/5 ) = -4.8

A₂ = 12 ( -2/5 )²

A₂ = 12 ( 4/25 ) = 1.92

A₃ = 12 ( -2/5 )³

A₃ = -12 ( 8/125 ) = -0.768

A₄ = 12 ( -2/5 )⁴

A₄ = 12 ( 16 / 625 ) = 0.3072

A₅ = 12 ( -2/5 )⁵

A₅ = -12 ( 32 / 3,125 ) = -0.12288

Hence , the geometric sequence is solved

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Answer:

the first one

Step-by-step explanation:

because x has an coefficient

Answer: The answer is C

Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

We have the expression:

You operate the bases and elevate at the sum of the exponent [As shown in the procedure] in this particular case.

***

When you use a power, you multiply the number by itself the number of times it is stated by the exponent, for example:

Or:

Answer:

Step-by-step explanation:

Area = 30 x 15 - 10 x 5

Area = 450 - 50

Area = 400 m^2

Hope that helps! :)

-Aphrodite

Answer:

400 m^2

Step-by-step explanation:

the figure is composed by a square and a rectangle

Area of the square = side^2 = 10^2 = 100 m^2

area of the rectangle = base x height = 20 x 15 = 300 m^2

total area = 300 + 100 = 400m^2

Given:

Two points on the line are (0, 4) and (2, 0).

To write: The inequality in slope form for the graph.

Explanation:

Using the two-point formula,

Substituting the points we get,

Since the shaded region is above the line.

So, the inequality becomes,

Final answer: The inequality in slope form for the graph is,

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

That's the answer and I hope it helps.

Answer:

A. He will have to work 40 hours to buy the headphones

B.  1200 ≤ 10.25x ≤ 2000    where x is # of hrs worked

He can work anywhere between 118 and 196 hours.

Step-by-step explanation:

A. Divide 399.95 by 10.25 to get 39.01 hours. But since you cant work 0.01 of an hour, you have to round up to the next hour

B. You want to make more than or equal to 1200, so put that in the inequality. You want to make less or equal to 2000, so you put that in the inequality. In the middle, you put 10.25 an hour multiplied by the number of hours, which is a variable.

To solve, I made 10.25x = 1200, and x equaled 117.07, which rounds up to 118 hours because you cant work a 0.07 of an hour. 118 hours is the low number of the spectrum.

To solve for the highest number on the spectrum, you do 10.25x = 2000, and x equals 195.12, but since you cant work 0.12 of an hour, it rounds up to 196 hours.

Answer:

none of the choices is correct

Step-by-step explanation:

To find the length of the side of square 1, divide the perimeter, 104÷4 = 27

That is the hypotenuse of the triangle.

The square of 27 is 729

Subtract the given square of Square 2, 576

729 - 576 = 153

Take the square root of 153 to find the length of the side of Square 3

√153= 12.37

I hope this helps. It's just a bit more challenging version of Pythagorean Theorem: a² + b² = c²

Answer:

the answer is -1805.96 !!!!!!!!

The range of the function f (x) = 4x + 5 is 5 ≤ y ≤ 205.

The function is given as:

f (x) = 4x + 5

We are also given that the domain of the function is:

0  ≤ x ≤ 50

To find the range:

For x = 0, we get that:

f (0) = 4(0) + 5

f (0) = 0 + 5

f (0) = 5

For x = 50, we get that:

f (50) = 4(50) + 5

f (50) = 200 + 5

f (50) = 205

The range of the function will become:

5 ≤ y ≤ 205

Therefore, we get that, the range of the function f (x) = 4x + 5 is 5 ≤ y ≤ 205.

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Answer:

48 boys

Step-by-step explanation:

ratio girls to boys = 5:4

There are 60 girls

60/5 = 12

4 x 12 = 48

There are 48 boys

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

$8,000

Step-by-step explanation:

8,375.79 < 8,500 so it will round to 8,000

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

it is A

Step-by-step explanation:

Answer:

3rd

Step-by-step explanation:

I think thats how u fill it