1
Write an expression that is equivalent to æ+1+
3
70
Regroup the like terms.
=x+1+
4
314
X
2-
2
3
+
1 1
x=x+1+
2 4
+ (-1/3) + (-1/²)
1
- (++)+(+-)
23
x+ ?
2

x.
?
3
E
X

The result of simplifying the expression (x³/x⁻¹)⁻¹/₄  using the exponent rules is 1/x

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x³/x⁻¹)⁻¹/₄

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

(x⁽³⁻⁽⁻¹⁾)⁻¹/⁴

(x⁽³⁺¹⁾)⁻¹/⁴

(x⁴)⁻¹/⁴

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:

x⁽⁴*⁻¹/⁴⁾

x⁽⁻⁴/⁴⁾

x⁽⁻¹⁾

As we have a negative exponent, you have to pass the exponent to the denominator:

1/x

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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Answer:150 minutes

Step-by-step explanation: divide 30 x 5 = 6 and multiply 6 x 25 = 105 minutes

Answer:

12

Step-by-step explanation:

[tex]Borrow\:2\:from\:"-192"\\|16| \times 1 = 16\\= 16 - 19\rightarrow Remember\:we\:borrowed\:2\\= 3\\Drop\:the\:borrowed\:2\\= 32\\|16| \times 2 = 32\\= 32 - 32\\= 0\\\\= 12\:\sf R0[/tex]

Answer:

12 (please use a calculator next time)

Step-by-step explanation:

When I have to simplify a tough fraction, I like to constantly divide both the numerator and the denominator by 2 until I can no longer do so, as it's a lot easier to divide most numbers by 2.

[tex]\frac{-192}{-16}\\ \\\to \frac{96}{8} \\ \\\to \frac{48}4 \\ \\\to \frac{24}2 \to 12[/tex]

Based on the quarts of juice that are in the pitcher that Kevin has, the number of 1.4 quart cups that can be filled up by one pitcher of juice is 1.96 cups.

In order to find the number of 1.4 quart cups that Kevin would be able to fill up with the pitcher, you should divide the number of quarts that the pitcher can hold, by the number of quarts that each cup can hold.

The number of 1.4 quart cups that can be filled with one pitcher of juice is therefore:

= Number of quarts in pitcher / Number of quarts per cup

= 2.75 / 1.4

= 1.96 cups

In conclusion, the pitcher that Kevin has can fill up 1.96 cups.

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Solving The problem with the help of a linear equation, we can say that the cafeteria had 1.5 gallon of milk at the beginning of the day.

A linear equation refers to an algebraic equation where when the graph plotted with an equation gives a straight line.

First of all we have to assume the amount of the milk is x gallon .

As per the question the amount of sold orange juice is twice as much milk as . So the orange juice was 2x gallon .

They sold 3 gallon of orange juice .

∵ we can generate an equation,

2x = 3

or, x = 3/2

or, x = 1.5

Now we can conclude , the amount of the sold milk is 1.5 gallons.

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The actual distance between Los Angeles and San Francisco will be 19,83,824 feet.

Given that,

The distance between San Diego and San Francisco = 2,683,824 feet,

And,

Los Angeles is about 7,00,000 feet closer to San Francisco than San Diego,

Now,

Distance is the total movement of an object without any regard for direction i.e. the distance covered by the object.

So,

Now,

According to the question,

To find the actual distance,

The actual distance between Los Angeles and San Francisco = The distance between San Diego and San Francisco) - (The difference in the distance)

i.e.

The actual distance between Los Angeles and San Francisco = 2,683,824-700,000

On solving we get,

The actual distance between Los Angeles and San Francisco = 19,83,824

Hence we can say that the actual distance between Los Angeles and San Francisco will be 19,83,824 feet.

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The tax due for a single taxpayer by virtue of the tax rate for single filers; 22% as required in the task content is; 14,239.5.

It follows from the task content that the taxable income of the single taxpayer as discussed in the task content is; 64,725.

Since, the tax rate which is alloted to such individual single filers is; 22%.

It simply follows that the tax due on the individual can be determined as follows;

Tax due = 22% of 64, 725

= (22/100) × 64,725

= 14,239.5

Ultimately, the tax due for a single taxpayer by virtue of the tax rate for single filers; 22% as required in the task content is; 14,239.5.

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Answer:

option D

Step-by-step explanation:

it is the incomplete answer

Answer: donut no

Step-by-step explanation:

12345

The coordinates of the resulting point C' are (-5, 4).

Since we know that rotating a point 270° counterclockwise about the origin causes the point (x,y) to become (-y, x), we can swap the positions of the x and y coordinates and make y negative.

We have, using the above transformation:

Therefore, the coordinates of the resulting point C' are (-5, 4).

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Answer:

Step-by-step explanation:

(5,-4)

The distance between the given pair of points (-10, -2), (-8,0 ) round to the nearest tenth is 2.8.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Given the data in the question;

Point 1(-10, -2)

Point 2( -8,0 )

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √( ( (-8) - (-10) )² + ( 0 - (-2) )² )

D = √( ( -8 + 10 )² + ( 0 + 2 )² )

D = √( ( 2 )² + ( 2 )² )

D = √( 4 + 4 )

D = √8

D = 2.8

Therefore, the distance between the given pair of points (-10, -2), (-8,0 ) round to the nearest tenth is 2.8.

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The equation is y = 2x.

Reason is because when I saw the number 4 on the x-axis, I saw that it was multiplied by 2 to make 8. It also works with the other numbers.

Answer:

y=2x

Step-by-step explanation:

The gradient is 2 which gives the 2x

The lines crosses the y-axis at 0

Hope this helps! Have a great day!

ps. i answered the previous question

The result for the given ratio are-

Part a: The value of n = 3.

Part b: For 9 cm on map there are 225,000 km on ground.

Now, as per the given question;

Part a: The value of 'n'.

The ratio 20 minutes to 1 hour can be written in the form 1: n.

20 minutes/1 hour = 1/n

We know that; 1 hour = 60 minutes.

20 minutes/60 minutes = 1/n

Cross multiplying;

20n = 60

n = 60/20

n = 3

The value of n is found to be 3.

Part b: kilometres on the ground.

The scale on a map is 1 : 25 000

It means;

1 cm on map = 25,000 km on grounds.

Thus, for 9 cm om map.

Multiplying both side of ratio with 9.

9 : 9 × 25 000

9 : 225,000

Thus, 9 cm on map there are 225,000 km on ground.

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Answer: D.) the hypotenuse

__________________________________________________________

Have a good day!

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Question:

What is the longest side of a right triangle?

Answer:

The answer would be D. hypotenuse

Step-by-step explanation:

Leg A and B would be the legs remember pythagorean theorem. Pythagorean theorem would be a2 + b2 = c2, a is a side of right triangle b is also a side of right triangle and c is the hypotenuse.

I hope it helps you!

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Answer:

yo cant help u good do

The value of given expression is 12.25.

From the given statement, the required expression is = ((3.5)⁷/(3.5)⁶)²

Since, the numerator and denominator of the expression are same.

Hence, their power will get subtracted

[tex] {({3.5}^{7 - 6} )}^{2} [/tex]

= 3.5²

= 12.25

∴ The value of the expression ((3.5)⁷/(3.5)⁶)² is equal to 12.25

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Based on the calculations, table B shows a rate that is greater than 1 kilometer per hour.

The average rate of change can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.

Mathematically, the average rate of change can be calculated by using this formula;

Average rate of change = Δy/Δx = Change in kilometer/Change in hour

For table A, we have:

Rate = kilometer/hour

Rate = (1/5)/(7/5)

Rate = 1/5 × 5/7

Rate = 1/7 kilometer per hour.

For table B, we have:

Rate = (3/4)/(3/8)

Rate = 3/4 × 8/3

Rate = 2 kilometer per hour.

For table C, we have:

Rate = (2/3)/(4/3)

Rate = 2/3 × 3/4

Rate = 1/2 kilometer per hour.

For table C, we have:

Rate = (2/3)/(4/3)

Rate = 2/3 × 3/4

Rate = 1/2 kilometer per hour.

For table D, we have:

Rate = (1/4)/(3/4)

Rate = 1/4 × 4/3

Rate = 1/3 kilometer per hour.

Therefore, table B shows a rate greater than 1 kilometer per hour.

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You normally multiply 96 and 12 without the decimal point which makes 1152, and then you have 2 places after the decimal point in each number so you add the 2 of the decimal places and that makes 4. Finally, you move the decimal point to the left 4 times, which makes 0.1152.

Answer: 0.1152

The values of the variables in the equation will be:

1. a = -78

2. m = 209

3. p = -16

4. n = 1/5

5. r = 1/2

6. k = = -3/2

7. a = -13.5

8. p = 2

-6 = a/13

Cross multiply

a = 13 × -6

a = -78

m/11 =19

Cross multiply

m = 19 × 11

m = 209

p -1 = -17

p = -17 + 1

p = -16

3= 3/5n

5n = 3/3

5n = 1

Divide

n = 1/5

31/10= r+ 2⅗

r = 31/10 - 2 3/5

r = 31/10 - 13/5

r = 5/10

r = 1/2

-6/5 =⅘k

Divide

k = -6/5 × 5/4

k = -3/2

-12/5 = 1+a

a = -12.5 - 1

a = -13.5

p+ ½ = 5/2

p = 5/2 - 1/2

p = 2

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If one morning, they decide to meet at a coffee shop. The coffee shop is the same distance from each of their apartments. The person that will likely get to the coffee shop in less time is: Stefan.

If it takes both of them the same amount of time to walk to work per day. The person  that will likely get to the coffee shop in less time is Stefan based on the fact that despite Stefan live a great distance away he still get to work at the same as Kendrick.

Since the coffee shop is the same distance from both of their apartments there is likelihood or tendency that Stefan get to the coffee shop in less time.

Therefore the person that will likely get to the coffee shop in less time is: Stefan.

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Answer:6528

Since there are 2 tires, both of which are $130,056 you would need to divide by 2 to get the price of the tires separately.

Choice B) The function is negative over the interval (−5,3).

Choice C) The function is positive over the interval (3,∞).

Choice D) The function is positive over the interval (−∞,−5).

====================================================

Explanation:

The portion below the x axis is when f(x) is negative. This happens on the interval -5 < x < 3−5<x<3 . Note how -5 and 3 are the x intercepts or roots. So because f(x) is negative when -5 < x < 3−5<x<3 we can say f(x) is negative over the interval (-5, 3). This is interval notation and not ordered pair notation.

----------

The function f(x) is positive in two places. When x < -5 and when x > 3. This is where the purple parabola is above the x axis.

The x < -5 portion converts to the interval notation (−∞,−5)

The x > 3 portion converts to the interval notation (3,∞)

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Answer:

6

Step-by-step explanation:

She had 20 chocolate pieces and her friends ate 7/10 of them.

20 x 0.7 = 14

20 - 14 = 6 pieces left over

Hope this helps <3

Answer:

B is the correct use of the commutative property.

Step-by-step explanation:

Let's use the process of elimination.

We can see that A is not using the commutative property because the sum of the numbers in the parentheses are just being combined.

C doesn't work because they just added 1/3 and 3/4, which doesn't work.

And finally D doesn't work because they used the distributive property instead.

B works because they combined 1/4 and 3/4 to equal 1, an easy number to calculate, and added 1/3 to get a final answer is 1 1/3.

So B is the answer.

Hope this helped! Have a great day!

Answer:

B is the correct answer for commutative property

Step-by-step explanation:

The cost of service charge using service provider A and service provider B is $58.33 and $105 respectively.

Service provider A:

Service provider B:

Since Raven has a new house

Cost of service charge using service A:

Cost of plumbing : average hours spent

50 : 1.5 = x : 1.75

50/1.5 = x/1.75

cross product

50 × 1.75 = 1.5 × x

87.5 = 1.5x

x = 87.5 / 1.5

x = $58.33

Cost of service charge using service B:

multiplies the exact number of hours spent at a residence by $60.

= 1.75 × 60

= $105

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Answer:

its 432

(ps. if your having trouble with focusing with school or work, try music. Would recommend lessoning to Wilbur Soot.)

The factor of the terms ab + bc + b² + ac is ( a + b ) ( b + c ).

Given ab + bc + b² + ac

A factorization is a mathematical object of multiplying several factors usually smaller or simpler objects of the same kind.

To factor the terms we need to write like terms on one side as below

= ab + ac + bc + b²

Separating the common terms as

= a ( b + c ) + b (c + b )

= a ( b + c ) + b ( b + c )

= ( a + b ) ( b + c )

Therefore, the factor of the given terms ab + bc + b² + ac is ( a + b ) ( b + c ).

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The greatest number of backpacks they can fill if they want to make all backpacks the same with no school supplies left over is 20

The given parameters are

Pencils = 60

Notebooks = 80

Express 60 and 80 as the products of their factors

So, we have

Pencils = 2 * 2 * 3 * 5

Notebooks = 2 * 2 * 2 * 2 * 5

Multiply the common factors

Common factor = 2 * 2 * 5

Evaluate the product

Common factors = 20

Hence, the greatest number of backpacks they can fill if they want to make all backpacks the same with no school supplies left over is 20

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