the table shows amounts earned for pet sitting. how much is earned after a 9-day job

Answer:

x=2y

Step-by-step explanation:

y=-2x+4 is perpendicular to the line which passes through (2,1). We know that we can use the formula y=mx+c to find the gradient of the line with the equation y=-2x+4, which will give you -2. The product of the gradient of two perpendicular lines is always -1. So the gradient of the line which passes through (2,1 ) is -½.

Now,to find the equation of the line,we use the formula y-y1=m(x–x1)which will give you the answer 2y=x when solved.

Answer:

√

−

49

=

7

i

Explanation:

A square root of a number  

n

is a number  

x

such that  

x

2

=

n

Note that if  

x

is a Real number then  

x

2

≥

0

.

So any square root of  

−

49

is not a Real number.

In order to be able to take square roots of negative numbers, we need Complex numbers.

That's where the mysterious number  

i

comes into play. This is called the imaginary unit and has the property:

i

2

=

−

1

So  

i

is a square root of  

−

1

. Note that  

−

i

is also a square root of  

−

1

, since:

(

−

i

)

2

=

(

−

1

⋅

i

)

2

=

(

−

1

)

2

⋅

i

2

=

1

⋅

(

−

1

)

=

−

1

Then we find:

(

7

i

)

2

=

7

2

⋅

i

2

=

49

⋅

(

−

1

)

=

−

49

So  

7

i

is a square root of  

−

49

. Note that  

−

7

i

is also a square root of  

−

49

.

What do we mean by the square root of  

−

49

For positive values of  

n

, the square root is usually taken to mean the principal square root  

√

n

, which is the positive one.

For negative values of  

n

, the square roots are both multiples of  

i

, so neither positive nor negative, but we can define:

√

n

=

i

√

−

n

With this definition, the principal square root of  

−

49

is:

√

−

49

=

i

√

49

=

7

i

Footnote

The question remains: Where does  

i

come from?

It is possible to define Complex numbers formally, as pairs of Real numbers with rules for arithmetic like this:

(

a

,

b

)

+

(

c

,

d

)

=

(

a

+

c

,

b

+

d

)

(

a

,

b

)

⋅

(

c

,

d

)

=

(

a

c

−

b

d

,

a

b

+

c

d

)

These rules for addition and multiplication work as expected with commutativity, distributivity, etc.

Then Real numbers are just Complex numbers of the form  

(

a

,

0

)

and we find:

(

0

,

1

)

⋅

(

0

,

1

)

=

(

−

1

,

0

)

That is  

(

0

,

1

)

is a square root of  

(

−

1

,

0

)

Then we can define  

i

=

(

0

,

1

)

and:

(

a

,

b

)

=

a

(

1

,

0

)

+

b

(

0

,

1

)

=

a

+

b

i

The gcf of 250, 45, and 30 is 5

Answer:

35

Step-by-step explanation:

28 divided by 0.80 = 35

Step-by-step explanation:

23 of the chromosomes come from one parent , 23 from other parent.

It's a fraction. At the numerator we have : -5+9×4-2+(8-3)×6 = -5 + 36 -2 + 5×6 = -5 +36-2 +30= 31-2+30 = 29+30= 59

59/2 = 29.5 +3 = 32.5

4(+2)=8+4

1.Distribute

4(+2)=8+4

4+8=8+4

2.Rearrange terms

4+8=8+4

4+8=4+8

3.Subtract 8 from both sides of the equation

4+8=4+8

4+8−8=4+8−8

4.Simplify

4+8−8=4+8−8

4=4+8−8

2.Subtract the numbers

4=4+8−8

4=4

5.Subtract 4 from both sides of the equation

4=4

4−4=4−4

6.Simplify

1.Combine like terms

4−4=4−4

0=4−4

0=0

The Answer is 0=0.

[tex] \frac{1}{5}(25 - 5a) = 4 - a [/tex]

Rearrange terms

[tex] \frac{1}{5}(25 - 5a) = 4 - a \\ \frac{1}{5}( - 5a + 25) = 4 - a \\ [/tex]

2.Combine multiplied terms into a single fraction

[tex] \frac{1}{5}( - 5a + 25) = 4 - a \\ \frac{1( - 5a + 25)}{5} = 4 - a [/tex]

3.Multiply by 1

[tex] \frac{1( - 5a + 25)}{5} = 4 - a \\ \frac{ - 5a + 25}{5} = 4 - a [/tex]

4. Rearrange terms

[tex] \frac{ - 5a + 25}{5} = 4 - a \\ \frac{ - 5a + 25}{5} = - a + 4 [/tex]

5.Add  to both sides of the equation

[tex] \frac{−5+25}{5} = - a + 4 \\ \frac{−5+25}{5} + a= - a + 4 + a [/tex]

6. Simplify

Find common denominator

[tex] \frac{ - 5a + 25}{5} + a = - a + 4 + a \\ \frac{ - 5a + 25}{5} + \frac{5a}{5} = - a + 4 + a [/tex]

2.Combine fractions with common denominator.

[tex] \frac{ - 5a + 25}{5} + \frac{5a}{5} =−+4+ \\ \frac{−5+25 + 5a}{5} = - a + 4 + a [/tex]

3. Combine like terms

[tex] \frac{ - 5a + 25 + 5a}{5} = −+4+ \\ \frac{25}{5} = −+4+[/tex]

4. Cancel terms that are in both the numerator and denominator

[tex] \frac{25}{5} = −+4+ \\ 5 = −+4+[/tex]

5. Combine like terms

5 = - a + 4 + a

5=4

Answer: 5=4.

7

Step-by-step explanation:

2 3/4 gallons in 3 2/3 minutes

equal to :

11/4 ÷ 11/3 =

11/4 × 3/11 =

3/4 gallons per minutes

or

0.75 gpm

Speed

Answer:

53.94$

Step-by-step explanation:

Answer:

53.94$

Step-by-step explanation:

9514 1404 393

Answer:

  $35.00

Step-by-step explanation:

The number of pints sold is ...

  (12.5 gal)×(8 pt/gal) = 100 pt

Then the total amount received for the milk is ...

  (100 pt)($0.35/pt) = $35.00

Answer:

Step-by-step explanation:

The coordinates of point J are (10,-2) and L os a point on the y axis.

Answer:

no

Step-by-step explanation:

if a=0 it's y=0, it's not one to one

if ais not 0, it's a even function and it's not 1 to 1, for example a=1, x=8 and x=2 have same f(x)

Answer:

ifk

Step-by-step explanation:

what is a nice party in the car going right be in a call to get place to go out and to some of these things for you to take care and party and to parties place party on the phone case pink or something like else is one nice good to of rid if not you a bit of longer health way your family or

Answer:

95

Step-by-step explanation:

1. First, the binary to decimal formula is:  

2. Now, let's apply it:

Therefore, the answer is 95.

Answer:

Ima guess 60

Step-by-step explanation:

9514 1404 393

Answer:

  60°

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles:

  100° = 40° +∠B

  60° = ∠B . . . . . . . . . . . . . subtract 40° from both sides

Answer:

120

Step-by-step explanation:

Rectangle 1 volume:

3x5x2=30

Rectangle 2 volume:

3x7x2=42

Rectangle 3 volume:

3x8x2=48

Total Volume:

48+42+30=120

Step-by-step explanation:

1. [tex](fg)' = f'g + fg' [/tex] (chain rule)

2 [tex]f(x) = x^5\sin{x}[/tex]

[tex]\Rightarrow f'(x) = 5x^4\sin{x} + x^5\cos{x}[/tex]

Answer:

x=42

Step-by-step explanation:

3x+1+x+11=180

Combine like terms

4x+12=180

subtract 12 from each side

4x=168

divide by 4

x=42

Hope this helps! Have a great day!!

Answer:

pc wuidorn8

Step-by-step explanation:

Answer:

qqqqqqqqqqqqqqqqqqqqqqqq

Answer:

12, 14, 16, and 18 are all even numbers between 10 and 19

Step-by-step explanation:

They are all even numbers because they end in 2, 4, 6, or 8. 0 is considered neither even nor odd.

Answer:

12 is an even number because it is divisible by 2

Answer: the first one is irrational because it is a repeating fraction.

the third is square root of 7 is less than 14/5

the fourth is negative 5 over 6, negative 5, negative 31 over 6, negative square root 26

Step-by-step explanation: Hope this helps !

Answer:

These are rational numbers.

Answer:

x = 120°

The triangle is an equilateral triangle and all the angles in an equilateral triangle equal 60°.

Straight lines have 180° angles.

180 -  60 = 120

Answer:

I think 164

Step-by-step explanation:

1312/8

Answer:

Step-by-step explanation:

[tex]15*10^{4}=15*10000 = 150,000[/tex]

Answer:

$45.33

Step-by-step explanation:

First we find 4.25% of $3200 to find the interest in 1 year.

For simple interest, use this formula:

I = Prt

where

I = amount of interest

P = principal amount (the amount deposited or borrowed)

r = annual interest rate

t = number of years

We have

I = ?

P = $3200

r = 4.45% = 0.425

t = 1 year

I = ($3200)(0.0425)(1)

I = $136

The interest in 1 year is $136.

Now we convert 4 months to years

1 year = 12 months

4/12 = 1/3

4 months are only 1/3 of a year, so he pays only 1/3 of the interest of an entire year.

1/3 * $136 = $136/3 = $45.3333...

Answer: $45.33