Simplify the given expression. Write your answer with positive exponents.
(x^-4/ y^3)^-7

Answer:

5.1

Step-by-step explanation:

Answer:

heheghgcfyhcggh I am a bit of a bit of a bit of a bit of a bit of a bit of a bit

Answer:

Step-by-step explanation:

1. 65,700. 65,740 65,743 65,743.2 65,743.18

2. 0 20 20. 19.7 19.74
3. 8,500. 8,460. 8,456 8,456.2 8,456.19

4. 300. 320. 318 318.3 318.28

Answer: 576

Step-by-step explanation:

5+3 = 8

8*72=576

Answer:576

Step-by-step explanation: just add and multiply

Answer:

500 x 4

500 x 4

5 x 4 =

20

Add the two 00's from 500.

You get 2,000.

Step-by-step explanation:

Well, we can focus on the number 5 from 500 and multiply it by 4 to receive the answer of 20 because we can assume the person solving this question knows simple multiplication factors and how to solve 5 times 4. Then, we can add the two zeros from the 500. Thus, it's 2,000.

Hope this helps.

Answer:2,000

Step-by-step explanation:

500x4

take the zeros  

5x4=20

then add the zeros

it will be 2,000

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}y^2\stackrel{\stackrel{b}{\downarrow }}{-7}y\stackrel{\stackrel{c}{\downarrow }}{-9}=0 \qquad \qquad y= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ y= \cfrac{ - (-7) \pm \sqrt { (-7)^2 -4(1)(-9)}}{2(1)} \implies y = \cfrac{ 7 \pm \sqrt { 49 +36}}{ 2 } \\\\\\ y= \cfrac{ 7 \pm \sqrt { 85 }}{ 2 }\implies y= \begin{cases} \frac{ 7 + \sqrt { 85 }}{ 2 }\\[1em] \frac{ 7 - \sqrt { 85 }}{ 2 } \end{cases}[/tex]

the first derivative of the given function is:

f'(x) = (2x²- 12x - 2)/( 2x² - 2)²

The quotient rule says that, if f(x) = g(x)/h(x), then:

f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²

In this case we know that:

g(x) = x² + x - 2

h(x) = 2x² - 2

The derivatives are:

g'(x) = 2x + 1

h'(x) = 4x

Replacing that we get:

f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²

      = ( (2x + 1)*(2x² - 2) - ( x² + x - 2)*(4x) )/( 2x² - 2)²

Expanding the denominator we get:

f'(x) = ( 4x³ - 4x + 2x² - 2 - 4x³ + 4x² - 8x)/( 2x² - 2)²

f'(x) = (2x²- 12x - 2)/( 2x² - 2)²

That is the first derivative of the given function.

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The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

Given two equations  1)6x-10<8 and 2) [tex]\frac{x}{3}[/tex]+6 > 12

Solving the above equations

1) 6x-10≤8

⇒6x ≤ 18

⇒X≤ 3

⇒x ≤ 3 i.e.  x ∈ (-infinity,3]

2)[tex]\frac{x}{3}[/tex]+6 > 12

⇒[tex]\frac{x}{3}[/tex] > 6

⇒x>18

⇒ x > 18 i.e.  x ∈ (18,infinity)

Therefore,The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

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People of the US will spend 24 billons dollars on statins in the year 2008.

An equation sometimes represents the output for a given specified input.

The amount of sales(S) of a top-selling cholesterol control drug statin is given by the equation S - 1.8x = 6.

Assuming x represents the number of years.

In the given question number of years is (2088-1998) = 10 years.

now we have to substitute these values in the sales of statins which will be

S - 1.8(10) = 6 in billions of dollars.

S - 1.8(10) = 6 billion dollars.

S - 18 = 6 billions.

S = 6 + 18 billions.

S = 24 billion dollars.

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The factors to consider before choosing a bank are;

1) The security of your funds.

2) The type of account you want to open.

3) The cost of hidden fees such as annual fees, transfer fees, and other service fees.

4) The banks interest rates.

5) Cash Limits

6) Online Banking.

7) Trust factor.

8) Location of the bank

9) Credit Unions

10) Opportunity of free checks

The factors to consider before choosing a bank are;

1) The security of your funds; This is important so that your funds are well protected against any type of fraud.

2) The type of account you want to open; This is also key because of operations.

3) The cost of hidden fees such as annual fees, transfer fees, and other service fees.

4) The banks interest rates; This is important as one would like a higher interest rates on his savings.

5) Cash Limits; This is important because some banks have a withdrawal limit per day.

6) Online Banking; This is important as banking is now global and as such online presence is very key.

7) Trust factor; You need to be able to trust this bank enough to put your money there.

8) Location of the bank

9) Credit Unions

10) Opportunity of free checks

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Answer:

[tex]x=35[/tex]

Step-by-step explanation:

Given the following question:

[tex]\frac{x}{5} =7[/tex]

When x is the numerator of the fraction you multiply each side by the denominator in order to isolate the variable.

[tex]\frac{x}{5} =7[/tex]
[tex]\frac{5x}{5} =x[/tex]
[tex]7\times5=35[/tex]
[tex]x=35[/tex]

Hope this helps.

Answer:

x = 35

Explanation and Chcek part below

Hope this helps :)

Step-by-step explanation:

x

Fraction bar/divide ---> --- = 7

5

1. Isolate the variable since it says dividing by 5 we must do the inverse operation which is multiplying by 5 to cancel them out. We are multiplying by 5 on one side of equation so we must multiply on the other side too. When a number is next to parenthesis it means to multiply the 2 numbers.

x

(5) -- = 7 (5)

5

x = 35

Check:

35

---- = 7

5

7 = 7

True statement.

Answer:

14

Step-by-step explanation:

B is the midpoint of AC, in other words it is the halfway point.

So A to B should be equal to B to C

Our expression is:

2x + 9 = 37

Subtract 9

2x = 28

Divide by 2

x = 14

The inequality shown by a number line which describes that 12 is to the right of -2 is; 12 > -2.

It follows from the task content that the inequality which represents the number line as described in the task content is to be determined

On this note, it follows that since, numbers are arranged from left to right in increasing order on the number line, then;

Since 12 is to the right of -2, the inequality which represents the situation is; 12 > -2.

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54 grams of aluminium is present in aluminium sulphate Al₂(SO₄)₃.

A substance's molecular mass is the sum of the atomic masses of all of the atoms in the molecule of a substance.

For the given question, the expression is;

aluminium sulphate Al₂(SO₄)₃

As three of aluminium is present in the aluminium sulphate.

And, molecular mass of one aluminium atom is 27 grams;

Thus, for 2 aluminium atoms = 2×27 = 54  grams.

Therefore, the compound aluminium sulphate contains 54 gram of aluminium in it.

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Answer:

=21

Step-by-step explanation:

2^4 equals 16, add 5 and its 21

2x2x2x2

\/

4x2x2

\/

8x2=16

Step-by-step explanation:

f(x) = 2^x + 5 OR f(x) = 2^(x + 5)?

f(x) = 2^x + 5 , x = 4

f(4) = 2⁴ + 5

= 16 + 5

= 21

f(x) = 2^(x + 5) , x = 4

f(4) = 2^(4 + 5)

= 2⁹

= 512

hi

"times " =  multiply by

B*T*4 =  4BT   (as it is the custom to put numbers before letters, and letters in alphabetic order)

Answer:

y = -2x + 18

Step-by-step explanation:

Slope m = -2 with y = 8, x = 5

y = mx + b

8 = (-2)(5) + b

8 = -10 + b

b = 8 + 10 = 18

then y = -2x + 18

Answer:

3.5 or [tex]\frac{7}2}[/tex]

Step-by-step explanation:

4(x+2)-2=6x-2(4+x)

4x + 8 - 2 = 6x - 8 + 2x

4x + 6 = 8x - 8

14 = 4x

x = 3.5 or [tex]\frac{7}2}[/tex]

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The rate of discharge is 1,54,550 cubic meter/sec.

This is the problem related to conversion of units. We need to convert cubic feet into cubic meter here.

Also we know that 1 foot = 0.305 meter.

The rate of discharge of water is given as 5,500,000 cubic feet per second.

So, now to convert to cubic meter we need to divide the given rate by cube of 0.305.

Now discharge in cubic meter per second = [tex]5,500,000*(0.305)^{3}[/tex]

                                                                  = [tex]5,500,000*0.028[/tex]

                                                                  = 1,54,550 cubic meter/sec

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Answer:just draw 6 apples up and down, then draw them 11 more times right next to each other, so draw 72 apples

Step-by-step explanation:

Answer:

1 pound (lb) is equal to 453.59237 grams (g)

Answer:

2 hours

Step-by-step explanation:

Rate_Sally=1/3, Rate_Steve=1/6, Rate_Together=Rate_Sally+Rate_Steve;

T_Together=1/Rate_Together

               =1/(1/3+1/6)=1/(1/2)=2 hours

Answer:

k = 1

Step-by-step explanation:

since 360 = 60² , a perfect square , then

360 × 1 ← is a perfect square

that is 360k with k = 1 is a perfect square

Answer:

[tex]\frac{270}{197}[/tex]

Step-by-step explanation:

First I need a common denominator.  That number is 270

I hope this pictures help

Answer:

5 is not divisible by 3 and 9 .

Answer:

Answer:A.)2x^2 + 5x + 3

Step-by-step explanation:

Answer:

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