<1 is a complement of <2, and m<1=66. find <2

The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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Let there be N number of kernels in the bag.

Given that the number o

Answer:

Step-by-step explanation:

Plan A remains with $450 stable charge and Plan B is:

In order Plan B to be cheaper we set an inequality:

Answer:

the slope = -⅓          

Answer:

3/2

Step-by-step explanation:

5/4 + 4(1/4)^2

5/4 + 4 x 1/16

5/4 + 1/4

3/2

Answer:

\(\huge\boxed{\dfrac{3}{2}=1\dfrac{1}{2}}\)

Step-by-step explanation:

PEMDAS

P Parentheses first

E Exponents

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

\(\dfrac{5}{4}+4\cdot\left(\dfrac{3}{4}-\dfrac{1}{2}\right)^2=\dfrac{5}{4}+4\cdot\left(\dfrac{3}{4}-\dfrac{1\cdot2}{2\cdot2}\right)^2=\dfrac{5}{4}+4\cdot\left(\dfrac{3}{4}-\dfrac{2}{4}\right)^2\\\\=\dfrac{5}{4}+4\cdot\left(\dfrac{3-2}{4}\right)^2=\dfrac{5}{4}+4\cdot\left(\dfrac{1}{4}\right)^2=\dfrac{5}{4}+4\cdot\dfrac{1}{16}=\dfrac{5}{4}+\dfrac{4}{16}\\\\=\dfrac{5}{4}+\dfrac{1}{4}=\dfrac{5+1}{4}=\dfrac{6}{4}=\dfrac{6:2}{4:2}=\dfrac{3}{2}=1\dfrac{1}{2}\)

Answer:

Total amount = R5112

Step-by-step explanation:

Let the cooks be C.

Let the waiters be W.

Given the following data;

Number of cooks, C = 2

Number of waiters, W = 3

a. To find the amount earned by each cook;

C = 36 * R36 = R1296

b. To find the amount earned by each waiter;

W = 30 * R28 = R840

c. To find the total amount earned by the employees;

Total amount = 2C + 3W

Total amount = 2(1296) + 3(840)

Total amount = 2592 + 2520

Total amount = R5112

The method that is invoked when an object is created is known as a constructor method.

Constructor in C++ is a special method that is invoked automatically at the time of object creation. It is used to initialize the data members of new objects generally.

The constructor in C++ has the same name as the class or structure. Constructor is invoked at the time of object creation. It constructs the values i.e. provides data for the object which is why it is known as constructors.

Constructor does not have a return value, hence they do not have a return type.

The prototype of Constructors is as follows:

<class-name> (list-of-parameters);

Constructors can be defined inside or outside the class declaration:-

The syntax for defining the constructor within the class:

<class-name> (list-of-parameters) { // constructor definition }

The syntax for defining the constructor outside the class:

<class-name>: :<class-name> (list-of-parameters){ // constructor definition}

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For `C = 0, d = 1 therefore C + d = 0 +1 = 1

For C = 27, d =  0.2161 therefore C+d = 27 + 0.2161 = 27.2161

We can use the substitution method to find the values of x and y.

We can rearrange the first equation to solve for x in terms of y:

Cx + dy = 12

Cx = 12 - dy

\(x = \frac{ (12 - dy)}{C}\)

This expression for x can then be substituted into the second equation:

2x + 7y = 4

2(\(\frac{(12 - dy)}{C}\)) + 7y = 4

To eliminate the denominator, multiply both sides by C:

2(12 - dy) + 7Cy = 4C

Increasing the size of the brackets:

24 - 2dy + 7Cy = 4C

Rearranging and calculating y:

-2dy + 7Cy = 4C - 24

y(7C - 2d) = 4C - 24

y = \(\frac{(4C - 24)}{(7C - 2d)}\)

We can then plug this y expression back into the first equation to find x:

Cx + dy = 12

C(\(\frac{(4C - 24)}{(7C - 2d)}\)) + d(\(\frac{(4C - 24)}{(7C - 2d)}\)) = 12

Multiplying to eliminate the denominator, multiply both sides by (7C - 2d):

12(7C - 2d) = C(4C - 24) + d(4C - 24).

Increasing the size of the brackets:

84C - 24d = 4C2 - 24C + 4Cd - 24C

Simplifying:

\(4C^2 - 108C = 0\)

Taking 4C into account:

4C(C - 27) = 0

As a result, either C = 0 or C = 27.

If C is equal to zero, the first equation becomes:

dy = 12

The second equation is as follows:

2x + 7y = 4

Adding dy = 12 to the first equation:

d(12) = 12

d = 1

Adding d = 1 to the second equation:

2x + 7(12) = 4

2x = -80

x = -40

As a result, if C = 0, x = -40, and y = 1.

If C = 27, the first equation is as follows:

27x + dy = 12

The second equation is as follows:

2x + 7y = 4

Adding dy = 12 - 27x to the first equation:

27x + d(12 - 27x) = 12

-27dx + 27x = 12 - 27x

d = (12 - 27x)/-27x + 1

In the second equation, substitute d = (12 - 27x)/-27x + 1:

2x + 7((12 - 27x)/-27x + 1) = 4

To eliminate the denominator, multiply both sides by -27x:

-54x + 84 - 7x(-27x + 27x + 1) = -108x

Simplifying:

-54x + 84 + 7x = -108x

-47x = -84

x = 84/47

Adding x = 84/47 to the formula for d:

d = (12 - 27(84/47))/-27(84/47) +1

d = (12 - 1.7872)/ -27(1.7872) +1

d = 10.2128/-47.2544

d = 0.2161

For `C = 0, d = 1 therefore C + d = 0 +1 = 1

For C = 27, d =  0.2161 therefore C+d = 27 + 0.2161 = 27.2161

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Answer:

E, 3/2

Step-by-step explanation:

First, say that the numerator is 2^2001 * 3^2001 * 3^2, so that the powers will align. Then, we can combine 2^2001 and 3^2001 for 6^2001. If we ignore the 3^2, we get 6^2001/6^2002, which simplifies to 1/6. If we multiply 9 (which is 3^2) to 1/6, we get 9/6=3/2. This is a pretty tough question. Hopefully this helps!

Answer:

d

Step-by-step explanation:

The amount of money that will be in the account at the end of 5 years given the principal and annual compounding is $5695.05.

When interest is compounded annually, it means that both the principal and interest already accrued increases in value once in year.

The formula for calculating future value:

FV = P (1 + r)^nm

$4750 x (1.045^5) = $5695.05

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IJ

How?

In triangle GHJ <H is right angle

Now

in triangle HIJ

IJ is the hypotenuse

So option A is correct

The corresponding segment for GJ in triangle GHJ in similar triangle HIJ is,  'JI'.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

⇒ Δ GHJ ≈ Δ HIJ

By the figure, we have;

In ΔGHJ, Side GJ is opposite side of the right angle.

And, In Δ JHI, Side JI is opposite side of the right angle.

Hence, The side JI in Δ JHI is corresponding segment in similar triangle GHJ.

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Answer:

a. a=10

b. b=-300

c. c=-1

d. d= -3567

Step-by-step explanation:

a. subtract 30 from each side

b. subtract 500 from each side

c. add 1 to each side

d. subtract 3,567 from each side

An area of 18 x 30 = 540 square meters, which is half the area of his backyard.

Steve is turning half of his backyard into a chicken pen. Given that his backyard is a 24 meters by 45 meters rectangle, the area of the whole backyard is

24 x 45 = 1080 square meters.

If half of the backyard is to be turned into a chicken pen, then the area of the chicken pen will be

1080/2 = 540 square meters.

Since the area of a rectangle is calculated by multiplying its length by its width, the dimensions of the chicken pen will depend on the desired shape of the pen.

Steve can decide to make the chicken pen a square or a rectangle or any other shape.

However, if he decides to make the pen a rectangle, he will have to make sure that the length and width are such that their product is equal to 540 square meters.

For example, he can make the chicken pen a rectangle with a length of 18 meters and a width of 30 meters.

This will give an area of 18 x 30 = 540 square meters, which is half the area of his backyard.

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Answer: 16875

Step-by-step explanation:

Here's the complete question:

A major stadium has 45,000 seats. If baseball fans have bought 5/8 of the seats for the next game, how many seats are available?

First, we need to calculate the number of seats biught. This will be:

= 5/8 × 45000

= 28125

The number of seats available will then be:

= 45000 - 28125

= 16875

the return Harsh realized from holding the stock for the given period is approximately 6.69%

To calculate the return realized from holding the stock for the given period, we need to consider both the capital gain/loss and the dividend received.

First, let's calculate the capital gain/loss:

Initial purchase price = Rs. 290.9

Selling price = Rs. 280.35

Capital gain/loss = Selling price - Purchase price = 280.35 - 290.9 = -10.55

Next, let's calculate the dividend:

Dividend received = Rs. 30

To calculate the return, we need to consider the total gain/loss (capital gain/loss + dividend) and divide it by the initial investment:

Total gain/loss = Capital gain/loss + Dividend = -10.55 + 30 = 19.45

Return = (Total gain/loss / Initial investment) * 100

Return = (19.45 / 290.9) * 100 ≈ 6.69%

So, the return Harsh realized from holding the stock for the given period is approximately 6.69%. None of the provided options matches this value, so the correct answer is not among the options given.

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Answer: -4

Step-by-step explanation:

the slope is -4 because when x goes down by 2, y goes down by -8, so the y intercept is -4 because when x=-1 y=0 so if you go down 4 and over 1, you get the point x=0 and y=-4

Answer:

has a proportional relationship with a constant of proportionality of 1000.c

Step-by-step explanation:

y=1,000x,y=1,000x

Answer: 3-5x

4/5

4

Step-by-step explanation: if we say y=(-x+3)/5 to take the inverse:

we need to leave x alone

5y=-x+3

5y-3=-x as to x=3-5y

now we can say that inverse of g(x) is equal to 3-5x

for Q2

x=1 for 3-5x

and that is 3-5*1=-2

now X=-2 for -x+3/5 and that is 4/5

for last one we need to find y=0 (bc of inverse function)

The rectangle's area decreased by 19%.

Length = L

Breadth = B

Original area = L x B

New area = A = L x (1 + 25%) x B x (1 - 25%)

A = L x B x 0.25 x 0.75 = L x B x 1.05

Therefore the area of the rectangle has decreased by 19%.

To find the location of a rectangle, multiply its width by means of its height. If we understand the sides of the rectangle which are different lengths, then we have each the height and the width.

The perimeter P of a rectangle is given through the system, P=2l+2w, wherein l is the period and w is the width of the rectangle. The area A of a rectangle is given by means of the method, A=lw, in which l is the duration and w is the width.

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The inverse function of the function 5y + 4 = (x + 3)² + 0.5 is shown below. Then the correct option is D.

\(\rm y= \pm \sqrt{5x + \dfrac{7}{2}} - 3\)

Suppose that the given function is

\(f:X\rightarrow Y\)

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

\(f^{-1}: Y \rightarrow X\)

such that:

\(\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X\)

(and vice versa).

It simply means, the inverse of 'f' is a reverse operator, that takes back the effect of 'f'

The equation is given below.

\(\rm 5y + 4 = (x+3)^2 + \dfrac{1}{2}\)

Then y will be

\(\rm 5y = (x+3)^2 + \dfrac{1}{2} - 4\\\\\rm y \ \ = \dfrac{(x+3)^2}{5} - \dfrac{7}{10}\)

The replace y by x and x by y, then we have

\(\begin{aligned} x &= \dfrac{2(y+3)^2}{10} - \dfrac{7}{10}\\\\\dfrac{10x + 7}{2} &= (y + 3)^2 \\\\\sqrt{5x + \dfrac{7}{2}} &= y + 3\\\\y &= \pm \sqrt{5x + \dfrac{7}{2}} - 3 \end{aligned}\)

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Answer: D

Step-by-step explanation:

The 2022 Russian Invasion of Ukraine began due to the cause of the collapse of the Soviet Union, which was sped along by the independence of the baltic states in 1990. When Ukraine left the USSR in 1991 and gave it's nuclear weapons to Russia in 2006, it began clear that Ukraine needed to be returned back into the hands of Moscow, before becoming another frontline for the NATO Army to invade the Russian Federation from the west, with more support from Japan in the east. Oh and I did the Edge test in 2022 so thats how I know it's D.

a. The multiplication problem is 2/2*4/6

b. The solution to the multiplication problem is 2/3.

What is a multiplication problem?

A multiplication problem is an expression which requires the product of two or more factors. Thus to solve the problem, the product of all factors in the expression has to be determined. And probably, simplification might be required arrive at the final answer as required.

From the given pair of diagrams, the multiplication problem is: 2/2*4/6

But,

2/2*4/6 = 1 *2/3

     = 2/3

So that;

2/2*4/6 = 2/3

Therefore the solution to the multiplication problem is 2/3.

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Answer: = 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

I used m a t h w a y.... PLEASE BOOST ME

The deflection angle of light by the white dwarf star is approximately \(\(0.00108 \times 206,265 = 223.03\)\)arcseconds (rounded to two decimal places).

To calculate the deflection angle of light by a white dwarf star, we can use the formula derived from Einstein's theory of general relativity:

\(\[\theta = \frac{4GM}{c^2R}\]\)

where:

\(\(\theta\)\) is the deflection angle of light,

G is the gravitational constant \((\(6.67430 \times 10^{-11} \, \text{m}^3 \, \text{kg}^{-1} \, \text{s}^{-2}\)),\)

M is the mass of the white dwarf star,

c is the speed of light in a vacuum \((\(299,792,458 \, \text{m/s}\)),\) and

(R) is the radius of the white dwarf star.

Let's calculate the deflection angle using the given values:

Mass of the white dwarf star, \(\(M = 1.2 \times \text{solar mass}\)\)

Radius of the white dwarf star, \(\(R = 0.0088 \times \text{solar radius}\)\)

We need to convert the solar mass and solar radius to their respective SI units:

\(\(1 \, \text{solar mass} = 1.989 \times 10^{30} \, \text{kg}\)\(1 \, \text{solar radius} = 6.957 \times 10^8 \, \text{m}\)\)

Substituting the values into the formula, we get:

\(\[\theta = \frac{4 \times 6.67430 \times 10^{-11} \times 1.2 \times 1.989 \times 10^{30}}{(299,792,458)^2 \times 0.0088 \times 6.957 \times 10^8}\]\)

Evaluating the above expression, the deflection angle \(\(\theta\)\) is approximately equal to 0.00108 radians.

To convert radians to arcseconds, we use the conversion factor: 1 radian = 206,265 arcseconds.

Therefore, the deflection angle of light by the white dwarf star is approximately \(\(0.00108 \times 206,265 = 223.03\)\)arcseconds (rounded to two decimal places).

Hence, the deflection angle is approximately 223.03 arcseconds.

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Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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Angle of elevation from Mandy to the space shuttle, The tangent function relates the angle of elevation to the opposite and adjacent sides of a right triangle. The angle of elevation  is 5.71 degrees.

In this scenario, the height of the space shuttle acts as the opposite side and the distance from Mandy to the shuttle acts as the adjacent side of the right triangle.Given that the height of the shuttle is 0.8 miles and the distance from Mandy to the shuttle is 8 miles, we can use the tangent function:

tangent(angle) = opposite/adjacent

tangent(angle) = 0.8/8 Simplifying the equation, we get: tangent(angle) = 0.1 To find the angle itself, we need to take the inverse tangent (arctan) of both sides: angle = arctan(0.1)

Using a calculator, the approximate value of the angle is 5.71 degrees.Therefore, the angle of elevation from Mandy to the space shuttle is approximately 5.71 degrees.

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Answer:

16x²+6x+3

Step-by-step explanation:

x²+6x+3(5x²-4)+15

x²+6x+15x²-12 +15

16x²+6x+3

Answer:

The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.

Step-by-step explanation:

As the level of significance is decreased the area for the favorable outcomes is increased. The value of ∝= 0.1 has a narrower area of favorable outcomes then the values of ∝= 0.05 or 0.01 because the value 0.1 ( 1%) is closer to the middle value or at the extreme values of the distribution as the case may be for 2 tailed or 1 tailed test.

Significance level        Two tailed Test          One tailed test

0.1                                   ± 1.645                               ±1.28

0.05                                 ±1.96                                ± 1.645

0.01                                ± 2.58                                 ±  2.33

So if the middle point is taken as zero we see that the spread of the area of the favorable values increases as the value of ∝ significance level decreases.

The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.