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The answers are as follows:

3000- standard notation

4.2*10 raised to 4 - scientific notation

1.05 × 10 raised to power –7  - scientific notation

0.0013 - standard notation

6,500,000 - standard notation

6.2 × 10 raised to power 19 - scientific notation

Concept: Standard notation is a way of writing a number so it is easier to read. It is often used for very large or very small numbers.

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

In the given questions,

3000- standard notation

4.2*10 raised to 4 - scientific notation

1.05 × 10 raised to power –7  - scientific notation

0.0013 - standard notation

6,500,000 - standard notation

6.2 × 10 raised to power 19 - scientific notation

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Answer:

(a)9×3=37' 97 and 8 are factors of 37

We have been given (4 + 4i) - (13 + 17i) .after solving we get the correct option is A ) -9 - 13 i.

Complex numbers are those numbers that contain the imaginary and the real part.

We have been given (4 + 4i) - (13 + 17i) .

On removing the parenthesis

4 + 4 i - 13 - 17i.

On combine the real part and complex parts, we get

= 4 - 13 + 4i - 17 i.

= -9 - 13 i.

Therefore, The correct option is A ) -9 - 13 i.

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Answer:

A. a = 2s - b -c

Step-by-step explanation:

Rearrange the equation in a way that you have only a on one side. When solving equations you can add, subtract, multiply or divide by the same number/variable/expression on the both sides.

[tex]s = \frac{a + b + c}{2}[/tex]

Multiply by 2 to get rid of the fraction.

[tex]s \cdot 2 = \frac{a + b + c}{2} \cdot 2[/tex]

On the right side the 2 cancels out:

[tex]s \cdot 2 = a + b + c[/tex]

On the right side next to a are still b and c. But we want a alone. Subtract b.

[tex]s \cdot 2 - b = a + b + c - b[/tex]

b - b on right side gives 0.

[tex]s \cdot 2 - b = a + c + 0[/tex]

The step above is usually skipped, because number + 0 = number.

[tex]s \cdot 2 - b = a + c[/tex]

Next to a there is still c. Subtract c.

[tex]s \cdot 2 - b - c = a + c - c[/tex]

c - c on the left is 0.

[tex]s \cdot 2 - b - c = a[/tex]

So our answer is:

[tex]s \cdot 2 - b - c = a[/tex]

It can be rewritten to (change sides):

[tex]a = s \cdot 2 - b - c[/tex]

And s · 2 can be rewritten to 2s:

[tex]a = 2s - b - c[/tex]

Answer:

15

Step-by-step explanation:

Answer:

D. None of the above.

Step-by-step explanation:

Supplementary angles must add up to 180 degrees.

Complementary angles must add up to 90 degrees.

Vertical angles are opposite of each other.

Hope this helps!

If not, I am sorry.

The value of the angle ∠x will be ∠x = 128°. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle is given below.

The sum of the two interior angle is equal to the third exterior angle.

m∠x = (198 − 5n)°

m∠y = (5n + 37)°

m∠z = (n + 7)°

We know that

∠x = ∠y + ∠z

198 - 5n = 5n + 37 + n + 7

       11n = 154

          n = 14

Then the value of the angle ∠x will be

∠x = 198 – 5 × 14

∠x = 128°

Then the correct option is C.

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Answer:

c. (5, -2)

Step-by-step explanation:

as we can clearly see, the 4th vertex has to be on the positive side of x.

therefore, all answer options with negative x are out.

(2, -5) is almost at D (-1, 5). that cannot be right for a rectangle.

that leaves only c as right answer.

FYI - how to get this without predefined answer portions ?

the x- difference of B to A is 4 (from -5 to -1). the x-difference from D to C must be the same (4). 1 + 4 = 5.

so, x of D must be 5.

the y- difference of B to A is 3 (from 3 to 6). the y-difference from D to C must be the same (3). -5 + 3 = -2.

so, y of D must be -2.

Answer:

if you mean the formula it is (1/2) · b · (6 · h + sqrt(3) · b)

Step-by-step explanation:

Answer: B. When the nail became magnetized the iron atoms in the nail were temporarily aligned and caused a physical change in the nail.

Step-by-step explanation:

Electrons behave like little magnets and when they flow through a wire, they create a magnetic field, which turns the nail into a magnet

cylindrical-shaped aquarium is to be filled with water for the newly bought salt water fishes. How much salt water is needed if the aquarium has a 2 ft radius of its base and a height of 3 ft?

Volume = πr²h

V = (3.14) (2)² (3)

V = (3.14) (4) (3)

V = 37.68 ft³

37.68 ft³ of salt water is needed to fill the cylindrical aquarium.

Mr. Lee is buying a spherical water tank for his tomato plantation. How much water could be stored if the water tank has a radius of 2 meters?

Volume = (4/3) πr³

V = (4/3) (3.14) (2)³

V = (4/3) (3.14) (8)

V = (4/3) (25.12)

V = 33.493 m³

Mr. Lee can store 33.493 m³ of water in the spherical tank.

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Answer:

1

Step-by-step explanation:

x to the zeroth power is always 1

Answer:

Step-by-step explanation:

90 - 20 = 70

So now do 5 times x and that's also equal to 70

70.x =11

Answer:

Step-by-step explanation:

_3x_13 =_7x+15 what is the anSWER?

assuming that the underscore is a minus and you are looking for the x value.

-3x - 13 = -7 + 15

-3x = -7 + 15 + 13

-3x = 8 + 13

-3x = 21

x = -7

---------------

check

-3 * (-7) - 13 = -7 + 15

21 - 13 = 8

8 = 8

the answer is good

Answer:

There are different kinds of shapes. The shapes have been sorted below:

The term shape is a word that connote the form or dimensions  of an object and also their outline.

It is made up of outer boundary and also outer surface. Most of everything in the world today do have shape.

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The value if T(290) is 330.6

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.

Given:

T(x) = x + 0.14x

T ( 290)= 290+ 0.14* 290

            = 290+ 40.6

           = 330.6

Hence, the value of T(290) is 330.6.

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Answer:

Large boxes are 18.25 kg

Small boxes are 15.25 kg

Step-by-step explanation:

This is a system of equations. You need to set up each equation first.

I am assigning x to be big boxes and y to be small boxes.

5x + 3y = 137

2x + 6y = 128

To solve, you will need to eliminate a variable. That means you will have to multiply one of the equations by a number to make it so a variable will be eliminated. I will be multiplying the top equation by -2.

-2 ( 5x + 3y = 137)

    2x + 6y = 128

Distribute the -2 to everything in the parentheses in the first equation.

-10x - 6y = -274

2x + 6y = 128

Notice the 6y will go away because -6y + 6y = 0. Now add the equations together. The remaining equation is:

-8x = -146

Solve for x by dividing by -8.

x = 18.25

Now plug that into one of the original equations.

2(18.25) + 6y = 128.

36.5 + 6y = 128                Subtract 36.5 from each side

-36.5            -36.5

6y = 91.5                          Divide by 6 to solve

y = 15.25

Step-by-step explanation:

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[tex] = 6.6.6.3.3[/tex]

[tex] = 6(1 + 1 + 1).3(1 + 1)[/tex]

[tex] = 6(3).3(2)[/tex]

Answer:

D. x = 7

Step-by-step explanation:

NOTE : there should be an equal sign somewhere in the given expression.

suppose the equation is the following:

3(x-4)-5 = x-3

………………………………………………………

3(x - 4) - 5 = x - 3

⇔ 3x - 12 - 5 = x - 3

⇔ 3x - 17 = x - 3

⇔ 3x - 17 + 17= x - 3 + 17

⇔ 3x = x + 14

⇔ 2x = 14

⇔ x = 14/2

⇔ x = 7

Answer:

56.52 inches

Step-by-step explanation:

pi is the ratio of the circumference to the diameter so you can simply multiply the diameter by pi to get the circumference which is 3.14 * 18 = 56.52

The range of the relation is {0, 2, 4}

The range of the relation are the y values

From the table, we have:

y values = 0, 2, 4, 2, 0

Remove the repetition

y values = 0, 2, 4

Hence, the range of the relation is {0, 2, 4}

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Answer:

x = -2

y = -6

Step-by-step explanation:

Equating the equations :

Equate both

And

Graph attached

Answer:

169, 152, 135

Step-by-step explanation:

186-17=169

169-17=152

152-17=135

[tex](6 {x}^{2} - 8)(9 {x}^{2} - x + 1) \\ 54 {x}^{4} - 6 {x}^{3} + 6 {x}^{2} - 72{x}^{2} + 8x - 8 \\ 54 {x}^{4} - 6 {x}^{3} - 66 {x}^{2} + 8x - 8[/tex]

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The total number of roots of the given polynomial function is 6.

The given polynomial is [tex]f(x)=3x^{6}+2x^{5}+x^{4} -2x^{3}[/tex].

We need to determine the total number of roots of the given polynomial function.

What is the total number of roots of the polynomial function?

The number of roots of any polynomial is depended on the degree of that polynomial. Suppose n is the degree of a polynomial f(x), then fx) has n number of roots.

Here, the degree of the given polynomial function is 6.

Therefore, the given polynomial function will be having 6 roots.

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Due to length restrictions, we kindly invite to see the explanation below to know the answer with respect to each component of the question concerning linear equations.

In this question we need to derive an expression of the daily distance as a function of time. Now we proceed to complete the components:

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The distance traveled is 62.8 inches.

We know that the gear is rigidly attached to the center of the wheel. This means that in one complete rotation of the gear, we also have a complete rotation of the wheel.

Then the distance that the bicycle travel with a single rotation of the gear is equal to the circumference of the wheel, which is:

C = 2*pi*R

Where pi = 3.14 and R is the radius, which we know is 10inches.

Then:

C = 2*3.14*10in = 62.8in

The distance traveled is 62.8 inches.

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Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. The correct option is C.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2 , thus its slope is 2 and thus, the slope of the needed line is 2 too.

The next step that Gerald should take is Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.

Hence, the correct option is C.

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