Directions: Express the number in scientific notation.
The human eye blinks an average of 4,200,000
times a year.

Answer:

vertices

Step-by-step explanation:

The corner of a shape or object is the vertices

Answer:

X=7/2 Y=1

Step-by-step explanation:

4X-Y=13

4X-13=Y

2X-3(4X-13)=4

2X-12X+39=4

-10X+39=4

-10X=4-39

-10X=-35

X=7/2(-35/10)

Y=4(7/2)-13

Y=14-13

Y=1

The solution of the two given linear equations will be equal to X=7/2 Y=1

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The solution of the linear equation is as follows:-

4X  -  Y   =    13

4X  -  13   =   Y

2X   -   3  (   4X  -  13  )   =    4

2X   -   12X   +    39   =    4

-10X   +    39  =  4

-10X  =    4  -   39

-10X    =    -35

X   =    7/2   (  -35  /   10   )

Y   =   4  (  7/2  )  -   13

Y   =  14  -  13

Y  =   1

Therefore the solution of the two given linear equations will be equal to X=7/2 Y=1

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Answer:

9=n-3

Step-by-step explanation:

Answer:

132cm2

Step-by-step explanation:

1. Split the figure into a trapezoid and a rectangle.

2. Find the area of the trapezoid, which is 104cm2.

3. Find the area of the rectangle, which is 28cm2.

4. Add the areas to get 132cm2.

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(3)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(4)(3)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (2)^2}}\implies 15~~ + ~~6~~ + ~~2\pi \stackrel{using~\pi =3.14}{\implies 27.28}[/tex]

Answer: I feel like it’s d..

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

HERE

Step-by-step explanation:

All equations equivalent to 8+3x = -2(11) are:

2(8+3x) = -4(11) and -8 - 3x = 2(11)

Answer:

1.The total cost is $520.47

2New Blance is $3,054.53

Answer:

9

Step-by-step explanation:

[tex] \sqrt{3 {}^{4} } =( 3 {}^{4} ) {}^{ \frac{1}{2} } = {3}^{2} = 9[/tex]

Step-by-step explanation:

I am not sure what you mean by "sort". that would mean to bring them into a certain sequence.

I think you mean "categorize".

the first one is arithmetic.

the added constant is -4.2

98.3 - 4.2 = 94.1

94.1 - 4.2 = 89.9

...

the second one is neither.

it looks like first to be arithmetic with the added constant of -1.

1 - 1 = 0

0 - 1 = -1

but then

-1 - 1 = -2 and not 0.

the third is geometric.

the ratio or multiplication factor is 2.

1.75 × 2 = 3.5

3.5 × 2 = 7

...

the fourth is arithmetic.

the added constant is 1.2.

-12 + 1.2 = -10.8

-10.8 + 1.2 = -9.6

...

the fifth is geometric.

the ratio of multiplication factor is -1.

-1 × -1 = 1

1 × -1 = -1

...

if you really need to sort them (change their positions in that 5 elements list), then

the 1st and 4th are arithmetic (to be put into the top 2 spots).

the 3rd and 5th are geometric (to be put into the next 2 spots).

the 2nd is neither (last spot).

Answer:

1) -6.4

2)71

3)15.4

Answer:

1. Polynomial

2. Not a polynomial

3. Not a polynomial

4. Not a polynomial

5. Not a polynomial

6. Not a polynomial

Step-by-step explanation:

Answer:

  the first three are polynomials; the remainder are not

Step-by-step explanation:

A polynomial is a sum of terms with non-negative integer powers of the variables.

The first three expressions are all polynomials; the last three are not.

__

The rational expression with a variable in the denominator is a "rational function", but is not a polynomial. The expressions containing |x| and √x are not expressions that have x to an integral power.

The coefficients of the polynomials we generally deal with are usually integers or fractions. However, there is no requirement that they be rational or real. The second expression is still a polynomial even though it has irrational coefficients.

Answer:

[tex]26[/tex]

Step-by-step explanation:

[tex](-4a - 6) + a2[/tex]

[tex]a=8[/tex]

Let's Substitute a with 8:

[tex]-4\times \:8-6+8^2[/tex]

[tex]26[/tex]

Answer:

Step-by-step explanation:

The can contains 1 pound + 2 oz

1 pound = 16 oz

1 can = 16oz + 2oz

1 can = 18 oz

2/3 can = 18 oz * 2/3

2/3 can = 18 oz/1 * 2/3

Multiply the numerator * numerator divide by (denominator * denominator)

2/3 can = 36 / 3

2/3 can = 12 oz.

You could do this by cancelation, but you may not know that yet.

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

Let's try to divide 1,772 and see how much math we need to do...

1,772 / 90 = 19.6888888889

Well, clearly we need more than 1,772!

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

Now, play around with adding numbers.

(I'm gonna skip all the experimenting, here's the closest # available for easy division!)

⇣

1,800 / 90 = 20

1,800

hope this helps

Answer:

C

Step-by-step explanation:

x² - 12x + 36 = 49

(x - 6)² = 49

now taking the square root

x - 6 = 7

x = 13

the second solution is (remember, sqrt(a²) = ±a)

-(x - 6) = 7

-x + 6 = 7

-x = 1

x = -1

The amount of paint required by Madeline will be 0.8325 gallons

Given that

[tex]1cm=1.5ft[/tex]

We will first find the area of the wall

Area of the wall = Area of trapezoidal shape+ Area of triangular shape

Area of trapezoid = [tex]\dfrac{a+b}{2} \times h[/tex]

a= 4cm

b=14cm

h=10cm

putting this values

[tex]A=\dfrac{4+14}{2} \times 10[/tex]

[tex]A=90cm^{2}[/tex]

Area of triangular shape=  [tex]\dfrac{1}{2} \times width\times height[/tex]

width=14cm

height=8cm

putting the values

[tex]A=\dfrac{1}{2} \times 14\times 8=58cm^{2}[/tex]

[tex]Total area of the wall= 90+58=148cm^{2}[/tex]

since we have

[tex]1cm=1.5ft[/tex]

[tex]148cm^{2} = 148\times (1.5)^{2} =333 ft^{2}[/tex]

Now

[tex]1gallon = 400ft^{2}[/tex]

so for  [tex]333 ft^{2}[/tex]  amount of paint in gallons required will be

[tex]1ft^{2} =\dfrac{1}{400} gallons[/tex]

[tex]333ft^{2} =\dfrac{333}{400} gallons=0.8325gallons[/tex]

Thus the amount of paint required by Madeline will be 0.8325 gallons

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Answer:

$105 per hour

Step-by-step explanation:

$648.50 - $71 = $577.50

$577.50 / 5.5 = $105 per hour

105 x 5.5 = 575.50

+ 71.00

648.50

The per hour charge of the technician is given as $15.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given problem can be solved by ratio method as follows,

The remaining cost charged by the technician is $648.50 - $71 = $577.50

Now, the per hour charge is remaining cost divided by total number of hours as given below,

577.50/5.5

= 57750/550

= 15

Hence, the cost of labor per hour is given as $15.

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Answer:

173

Step-by-step explanation:

substitute and calculate

Answer:

y=7/20x+11/20

Step-by-step explanation:

7x-20y=-11

20y=7x-(-11)

20y=7x+11

y=7/20x+11/20

The point (2,50) means that the Cost of renting a generator for 2 hours is $50..

Answer:

Step-by-step explanation:

The y intercept, is when x=0, and so it is 10000(0.97)^0 = 10000

Answer:

C D F

Step-by-step explanation:

Taking -40/2, we know our answer must be -20.

Testing each answer choice proves this.

A= 40*1/2, which is equal to 40/2, which is 20.

B= -40*-1/2, again, equaling 20.

C= 40/-2. Since one of our terms is negative, this one is -20.

D= 40*-1/2, again, -20.

E= -1/40*2. This would equal -2/40, using fraction multiplication.

F= -40*1/2, Which is the exact same thing the original question asks.

Thus, our final answer is C, D, and F.

Answer:

Its A :))

Step-by-step explanation:

Answer:

y= x-4

Step-by-step explanation:

slope-intercept form is y=mx+b

-2y-8=-2x   move the 8 over to the other side

-2y=-2x-8   divide whole equation by negative 2

this should give you, y=x-4