Represent the following expressions as a power of the number a where a≠0 a^2*(a^4)^3÷a^13
100 POINTS NOW

Answer:

Step-by-step explanation:

Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.

The absolute value function is defined as

[tex]|x| = \begin{cases}x & \text{for }x \ge 0 \\ -x & \text{for }x < 0\end{cases}[/tex]

If x is strictly positive (x > 0), then |x| = x, and d|x|/dx = dx/dx = 1.

If x is strictly negative (x < 0), then |x| = -x, and d|x|/dx = d(-x)/dx = -1.

But if x = 0, the derivative doesn't exist!

In order for the derivative of a function f(x) to exist at x = c, the limit

[tex]\displaystyle \lim_{x\to c}\frac{f(x) - f(c)}{x-c}[/tex]

must exist. This limit does not exist for f(x) = |x| and c = 0 because the value of the limit depends on which way x approaches 0.

If x approaches 0 from below (so x < 0), we have

[tex]\displaystyle \lim_{x\to 0^-}\frac{|x|}x = \lim_{x\to0^-}-\frac xx = -1[/tex]

whereas if x approaches 0 from above (so x > 0), we have

[tex]\displaystyle \lim_{x\to 0^+}\frac{|x|}x = \lim_{x\to0^+}\frac xx = 1[/tex]

But 1 ≠ -1, so the limit and hence derivative doesn't exist at x = 0.

Putting everything together, you can define the derivative of |x| as

[tex]\dfrac{d|x|}{dx} = \begin{cases}1 & \text{for } x > 0 \\ \text{unde fined} & \text{for }x = 0 \\ -1 & \text{for }x < 0 \end{cases}[/tex]

Answer:

B is the answer.

x = 1

y = 2

Step-by-step explanation:

In B, Multiply the second equation by 2

8y - 2x = 14                

Now add the first and the equation above.

8y - 2x = 14

3y +2X = 8

11y = 22        

Divide by 11

11y/11 = 22/11

y = 2

Use the given equation #2

4y - x = 7

4*2 - x = 7

-x = 7 - 8

-x = - 1               Multiply by - 1

-1*x = -1*-1

x = 1

Answer:

3

Step-by-step explanation:

(8 + 4) / 2 - 3

12 / 2 -3

6 - 3

3

Answer:

3

Step-by-step explanation:

You do the parenthesis first (8+4)

Then you divide 12 by 2 if you are following Pemdas

6 - 3 = 3

Hope this helped!

Answer:

A "rate" is a ratio involving a comparison of 2 quantities that have different unites of measurement. An example of this can be miles per hour or g/mL

Step-by-step explanation:

Answer:

horizontal line: y = 7

vertical line: x = 1

Step-by-step explanation:

Answer:

x = k/6 - 50/3

Step-by-step explanation:

K=6x+100

--> Swap sides so that all variable terms are on the left hand side.

6x+100=k

--> Subtract 100 from both sides.

6x=k−100

--> Divide both sides by 6.

6x/6 = k-100/6

--> Dividing by 6 undoes the multiplication by 6.

x = k-100/6

--> Divide k−100 by 6.

Answer : x = k/6 - 50/3

Hope this helps you!

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Answer:

∡3 & ∡6 are same side interior angle.

∡4 & ∡6 are alternate interior angles.

∡2 & ∡8 are vertical angles.

∡1  & ∡5 are corresponding angles (because they are in the same spot).

∡1  & ∡3 are vertical angles (because they are the opposite angle of each other).

∡1 & ∡2 are supplementary angles (because they add up to 180°).

Answer:

y = 1

Step-by-step explanation:

Hello!

2x2=4 so 2 is the quotient and half of 2 is obviously 1. So you add y to that and its y = 1.

The expression of half the quotient of 4 and a number y is gotten as; ¹/₂ * 4/y

From the definition of quotients, we know that a quotient is a result obtained by dividing one quantity by another.

Thus, quotient of 4 and a number y is; 4/y

To get half of the value above, we will just multiply it by half to get;

¹/₂ * 4/y

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Answer:

I did mostly everything for you bestiieee on the pictureee :3

Step-by-step explanation:

hope this helped :3

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Answer:

y=11-2x           x + y =15

4x − y=7 and 2x − y=15 all have one solution

x=12 − 3y             2x + y=7

3x + 9y=24 and -4x=2y + 14 have no solution

you can just put the rest in infinite solutions

Step-by-step explanation:

Answer:

A rectangle have 2 equal sides whilst the other 2 is also equal

So we can make length “l”

Whilst we can make width “w”

So the formula for a perimter is

2l+2w=p

In this case it’s 70

Now the length is 3 in longer then the width.

So l= 3+w

We can subsitute that in so we can solve the equation now

2(3+w) + 2w = 70

4w+6=70

Now solve

4w+6=70

4w= 64

w= 16

So width is 16

Lenght is 3 more then with so 16+3=19

Width is 16

Length is 19

Answer:

1. Markup: $2.70, Retail: $20.70

2. Markup: $9.45, Retail: $31.95

3. Markup: $25.31, Retail: $59.00

4. Markup: $24.75, Retail: $99.74

5. Markup: $48.60, Retail: $97.20

6. Markup: $231.25, Retail: $416.25

Step-by-step explanation:

To get the markup price of an item, multiply it by the markup percentage as a decimal. To get the decimal of a percentage, divide the number by 100. For example, 15% would be 0.15. And then to find how much the item has been marked up by, multiply the current price by the decimal.

$18 * 0.15 = $2.70

So $2.70 is the markup. To find the retail price, you need to add the markup price to the current price given.

$18 + $2.70 = $20.70

So your retail price is $20.70. Repeat these steps for each question to get the answers above.

Hope this helps.

Answer:

A rea of a Circle = π × r²

Step-by-step explanation:

The area of a circle formula is A = π × r² where r is the radius.

Remember that the radius might not be given but the radius is half of the diameter.

For π use the calculator value or use 3.14.

Answer:

H is equal to and greater than 48 the last one because you must be equal to 48 inches or greater than 48 inches so = would be equal to and < would mean that you must be greater than

Step-by-step explanation:

Answer:

h ≥ 48

Step-by-step explanation:

Height must be greater than or equal to 48 inches tall to ride.

Answer:

y = –(1/2)x + 7

Step-by-step explanation:

Slope intercept form is y = mx + b

m is the slope

When the slope is the same the lines are parallel

here the slope is –1/2

therefor

y = –(1/2)x + 7 is parallel

<ABC = [ 52° ]

not sure but

hope it helps!

Answer:

[tex] \: [/tex]

∆ ABC → 132 °

Step-by-step explanation:

Given : ∠DBC = 48°

Now we are going to use the property that the sum of angles of a linear pair always equal to 180∘

Therefore,

∠ABC + ∠DBC = 180°

∠ABC + 48 ° = 180° [ ∠DBC = 48° ]

∠ABC = 180° - 48°

∠ABC = 132°

Answer:

Refer to the attachment

Answer:

30%

Step-by-step explanation:

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Step-by-step explanation:

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Answer: 4 days

Step-by-step explanation:

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y - 1 = 0 ( subtract 3x - 1 from both sides )

y = - 3x + 1 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (1, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = - 3x + 7 ← equation of line in form y = mx + c

Answer:

y = 2x - (3/2)

standard equation is

y = mx + c

c is the y intercept

m is the gradient/slope

so

2 is the slope (m)

Answer:

Slope = 2

Step-by-step explanation:

Our equation: y = 2x - 3/2

=> Given equation: y = mx + b

Now, let's compare:

=> y = mx + b = y = 2x - 3/2

=> We can tell that the slope is m, which is 2.

Hoped this helped.

Answer: The cost of renting a car from Company A be the same as renting a car from company B in 17.5 miles

Step-by-step explanation:

y=2.30x +15

y=1.90x +22

0.4x +7 Divide 0.4 from both sides

x=17.5

y=2.30(17.5)+15

y=40.25+15

y=40.25-15

y=25.25

Answer:

Well 5 times 1 is 2.5 which can't be and integer

so I looked it up an this is what I got How do you write 2.5 as an integer?

If this is the question, then Integer-Part[2.5] = 2, and the Fractional-Part[2.5] = . 5.

I would put 3 it because 2.5 as a hole number is 3

Step-by-step explanation: