Simplify: 2x2 – 1+ 4x2-5

Given:

The expressions are [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex].

To find:

The quotient of [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex] expressed in scientific notation.

Solution:

Quotient of [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex] is:

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=\dfrac{1.888}{5.9}\times \dfrac{10^9}{10^6}[/tex]

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=0.32\times 10^{9-6}[/tex]

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=0.32\times 10^{3}[/tex]

In the scientific notation, the first number is between 1 to 10. So, 0.32 can be written as [tex]\dfrac{3.2}{10}[/tex].

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=\dfrac{3.2}{10}\times 10^{3}[/tex]

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=3.2\times 10^{3-1}[/tex]

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=3.2\times 10^{2}[/tex]

Therefore, the value of the quotient is [tex]3.2\times 10^{2}[/tex].

Answer:

d mgdyhdsyii3uhf4t3h.

Answer:

Length and Width

Step-by-step explanation:

I took the A P E X quiz

A polygon's measurement includes Length and Width, That is option c and d.

A Polygon is a closed figure made up of lines segments (not curves) in two-dimensions. A minimum of three line segments are required for making a closed figure, thus a polygon with a minimum of three sides is known as Triangle.

Polygon has a plain 2D shape which has minimum 3 sides.

polygon not has curve lines.

Polygon is not 3D shape figure, so height is not a measurement of polygon.

Hence, Length and Width is the measurement of polygon

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Answer:

Smallest number with the properties in the question = 57

Step-by-step explanation:

Let's first find the LCM of the three numbers which it is divided by which are 4,5,6.

LCM of 4,5 and 6 is 60.

We are told that;

The number has a remainder of 1 when divided by 4

The number has a remainder of 2 when divided by 5

The number has a remainder of 3 when divided by 6

In all 3 cases, the difference between the divisor and the remainder is 3.

This means that the smallest number in that has the properties in the question must be; 60 - 3 = 57

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

4 x __ = 12

the blank would be 3, once you did it on one side you have to do it on the other side too

5 x 3 = 15

Another way you can do it is by...

[tex]\frac{4}{12}[/tex] = [tex]\frac{5}{x}[/tex]

solve for x (cross multiply)

Answer:

15

Step-by-step explanation:

CO : CL = OR : LA

* substitute the side letters with the given side lengths *

( let AL = x )

4 : 5 = 12 : x or

[tex]\frac{4}{5} =\frac{12}{x}[/tex]

now we solve for x by cross multiplying

4 * x = 4x

12 * 5 = 60

now we have 4x = 60

step 2 divide each side by 4

4x / 4 = x

60 / 4 = 15

we're left with x = 15

hence LA = 15

Answer:

Answer = 13.5

Step-by-step explanation:

A square has 4 sides

54 / 4 = 13.5

The side of the square will be 7.34 inches.

A square is a quadrilateral having all the sides equal to each other and the sum of the angles will be 360 degrees. The area is defined as the space occupied by the shape in a two-dimensional plane.

Given that a square has an area of 54 sq in . the length of each side is the same.

The side of the square will be calculated as below:-

Area of square = Side²

54 = Side²

Side = √54

Side = 7.34 inches.

Therefore, the side of the square will be 7.34 inches.

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Given:

The equation is:

[tex]y+2=6(x+6)[/tex]

To find:

The given equation in the form of [tex]Ax+By=C[/tex], where A, B, C are integers.

Solution:

We have,

[tex]y+2=6(x+6)[/tex]

It can be rewritten as:

[tex]y+2=6x+36[/tex]

[tex]y-6x=36-2[/tex]

[tex]-6x+y=34[/tex]

The above equation is in the form of [tex]Ax+By=C[/tex], where [tex]A=-6,B=1[/tex] and [tex]C=34[/tex].

Therefore, the requires equation is [tex]-6x+y=34[/tex].

Answer:

umm...1/12 of a chance

Step-by-step explanation:

Are you sure there isnt a graph that goes along with this?

Answer:

(X+1)²+4(y+3)² = (√-20)²

Step-by-step explanation:

The standard form of expressing equation ic;

(x-a)²+(y-b)² = r²

Given the expression

x²+4y²+2x+24y+21 = 0

Collect the like terms

x²+2x + 4y²+24y+21 = 0

Completing the squares

x²+2x +(2/2)² + 4(y²+6y)+21 = 0+(2/2)²

x²+2x +(2/2)² + 4(y²+6y+(6/2)²)+21 = 0+(2/2)²

x²+2x +1 + 4(y²+6y+(3)²)+21 = 0+1

x²+2x +1 + 4(y²+6y+9)+21 = 0+1

x²+2x +1 + 4y²+24y+36+21 = 0+1

x²+2x +1 + 4(y²+6y+9)+21 = 0+1

x²+2x +1 + 4(y+3)²+21 = 0+1

(X+1)²+4(y+3)² = 1 - 21

(X+1)²+4(y+3)² = -20

(X+1)²+4(y+3)² = (√-20)²

Answer:

Distance of A from P =  2.55 Kilometers

Step-by-step explanation:

Find the attached solution

Answer:

Step-by-step explanation:

2

Answer:

The student should have switched the direction of the inequality sign to

get –5 > x for a final answer.

Step-by-step explanation:

When multiplying or dividing an inequality by a negative "flip" the inequality sign

The student should have switched the direction of the inequality sign to

get –5 > x for a final answer.

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

Note:

For a more conventional appearance the entire inequality can be flipped to

–5 < x

Answer:

Horiz asym y=-4/5

Vertical asym x=0

x intercept (5,0)

y intercept : none

Step-by-step explanation:

Answer:

B)

the (8+7) x (10 + 7) x (6 + 4)

Step-by-step explanation:

Answer:

D- (8×10×6) + (7×7×4)

Step-by-step explanation:

The formula for volume is Length×Width×Height.

So you have to find the volume for each one individually then add them up together.

(You can give the other person brainliest if u want.)

:)

Answer:

98

Step-by-step explanation:

Answer:

(160+8)x4

Step-by-step explanation:

you just multiply 4 to the sum of 160+8, so you get the equation i put above

Answer:

-5

Hope this helps!

Answer:

c

Step-by-step explanation:

Answer: 3.39

Step-by-step explanation: maybe

Answer:

[tex] x = - 1 + 2i, \: \: - 1 - 2i[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 2x + 5 = 0 \\ \\ {x}^{2} + 2x + 1 + 4 = 0 \\ \\ {x}^{2} + 2x + 1 = - 4 \\ \\ {(x + 1)}^{2} = - 4 \\ \\ (x + 1) = \pm \sqrt{ - 4} \\ \\ x + 1 = \pm 2i \\ \\ x = - 1\pm 2i \\ \\ x = - 1 + 2i, \: \: x = - 1 - 2i \\ \\ x = - 1 + 2i, \: \: - 1 - 2i[/tex]

Answer:

y = -2x + 7

Step-by-step explanation:

Given: (0, 7) and (2, 3)

Using the slope-intercept formula: y2-y1/x2-x1

3-7/2-0 = -4/2 = -2

Y-intercept:

Use y= mx + b to find the y-intercept (b). For this, I will be using the coordinates (2, 3). Plug 2 into x and 3 into y, then solve.

3 = -2(2) + b

3 = -4 + b

7 = b

Form the equation together:

y = -2x + 7

Answer:

x = 9

Step-by-step explanation:

The parallel lines divide the sides of the triangle in proportion, that is

[tex]\frac{20-8}{x}[/tex] = [tex]\frac{8}{6}[/tex]

[tex]\frac{12}{x}[/tex] = [tex]\frac{8}{6}[/tex] ( cross- multiply )

8x = 72 ( divide both sides by 8 )

x = 9

THE ANSWER IS TRUE :P

Step-by-step explanation:

All the square roots can be simplified to a decimal answer and still be equivalent.

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

For example, square root of 16 is 4 since 4 × 4 = 16

We know that every number has a square root.

All the numbers does not have a perfect square root.

The perfect square roots does exists for numbers 1, 4, 9, 16, 25, .......

All the other numbers in between has the square roots which are decimal numbers.

Hence, all square roots can be simplified to a decimal answer and still be equivalent.

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Answer:

3 3/4 lb

Step-by-step explanation:

11 ¼ lb ÷ 3

11 ¼ lb x [tex]\frac{1}{3}[/tex]

convert 11 ¼ lb to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

[tex]\frac{45}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{15}{4}[/tex] = 3 3/4 lb

Answer: 15

Step-by-step explanation:

Answer:

342.22$

Step-by-step explanation: