Simplify this expression. If the answer contains exponents, all exponents should be positive.

Simplify This Expression. If The Answer Contains Exponents, All Exponents Should Be Positive.

Answers

Answer 1

Answer:

below

Step-by-step explanation:

(7p^9)^-4     a negative exponent means move the number up or down in the fraction

=   1 / [ (7 p^9) ^4  ]

           = 1 / ( 7^4 p^36) =   1/(2401 p^36)   <===don't omit the parentheses!


Related Questions

What is 534.8 x 17 in long multiplication?

Answers

Answer:

Step-by-step explanation: 9091.6

Answer:

9091.6

Step-by-step explanation:

The volume of 10,000 drops of a liquid is 10 fluid ounces.
What is the volume of 10 drops?

Answers

Answer: .01 fluid ounces.

Step-by-step explanation:

1,000 drops is 1 FL

100 drops is .1 FL

10 drops is .01 FL

A company hired 20 new graduates. The mean salary of the newly hired employees is 38 in thousands of dollars, where Σ(x - 38)² = 64. Which is the population variance of the given data ?​

Answers

The population variance of the given data is 3.2.

Given  Σ(x - 38)² = 64 .

We know that the population variance of the data is the square of the standard deviation.

Now the standard deviation for the population is given by

σ =√(Σ(x - 38)² / N)

Again variance = σ ²

Let us first calculate σ .

σ = √(64/20) = √3.2

variance

= σ ²

= (√3.2)²

= 3.2

Therefore the variance of the population is 3.2

In probability theory and statistics, variance is the predicted squared variation of a random variable from its population mean or sample mean. Dispersion, or how far apart from the mean a set of data are from one another, is measured by variance.

A few ideas that use variance include descriptive statistics, statistical inference, hypothesis testing, goodness of fit, and Monte Carlo sampling.

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somebody please help me

Answers

Answer:

I got (-1,-4) and (3,0) When I graphed with Desmos.  I do no see that solution.

Step-by-step explanation:

Which property is used in the following calculation?
(64⋅25)⋅464⋅(25⋅4)64⋅(100)6400


Commutative Property of Multiplication

None of these

Associative Property of Multiplication

Distributive Property

Identity Property of Multiplication

Answers

A property which is used in the calculation above is: Commutative Property of Multiplication.

What is the Commutative Property of Multiplication?

The Commutative Property of Multiplication states that when three (3) numbers are multiplied, the end result (output) would always be the same regardless of the way the numbers are arranged and grouped.

This ultimately implies that, re-arranging or regrouping the order of numbers that are being multiplied does not change the end result (output) or product.

Mathematically, the Commutative Property of Multiplication is represented by this mathematical expression:

a · (b) = b · (a)

By applying the Commutative Property of Multiplication to the calculation, we have:

(64⋅25)⋅4 = 6400

64⋅(25⋅4) = 6400

64⋅(100) = 6400

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Question 12(Multiple Choice Worth 1 points)
(02.04 MC)
Write an equation of a line that is perpendicular to y = 4x + 8 and passes through (-8, 4).
y = -1/4x - 7
y = -1/4x + 2
y = 4x + 24
y = 4x + 36

Answers

The equation of a line is y=-1/4x-7, (option 1)

What is the equation of a line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.

How do you find the equation of a line?

Write the equation in the form y = mx + b to find the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept.

Given:-

Equation of the line is y=4x+8 

The point through which the line passes (-8,4).

here the slope of the line is m1=4

To find the perpendicular line we know the formula

m1*m2=-1

By putting the value of m1 we get m2= -1/4

By using the one-point formula of the line we have

=>(y-y1)=m2*(x-x1)

By putting the values of y1 and x1 we get

(y1,x1)=(-8,4)

=>(y+8)=-0.25*(x-4)

y+0.25x+7=0

Hence the desired equation of the line is y=-1/4x-7

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Two identical rectangles linked at one corner are drawn on coordinate axes. Give the coordinates of point A and point B

Answers

The coordinates of the vertices of the points A and B are;

A(9, 7), B(15, 9)

What is the location of a point on the coordinate plane?

A point on the coordinate plane is described by a pair of points known as an ordered pair.

The coordinates of the vertices of the identical rectangles are; (3, 5), (9, 5), (9, 9)

The length of (9 5) from A is the same as the length from (9, 9) to A.

The coordinate of the point A is therefore;

x-coordinate = 9

y-coordinate = 5 + (9 - 5)/2 = 7

The coordinate of point A is (9, 7)

The length of the sides of the rectangle are;

Length = 9 - 3 = 6

Width = 9 - 7 = 2

The coordinates of the point B are;

x-coordinate = 9 + 6 = 15

y-coordinate = 9

The coordinates of the point B is (15, 9)

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A spice mixture is 25% thyme. How many grams of thyme must be added to 12g of the mixture to increase the thyme content to 40%?

Answers

Answer:

  3 g

Step-by-step explanation:

You want to know the mass of thyme that must be added to 12 g of a spice mix that is 25% thyme in order to make it 40% thyme.

Setup

Let t represent the amount of added thyme (in grams). The amount of thyme in the augmented mix is ...

  0.25(12) + t = 0.40(12 +t)

Solution

Simplifying the equation gives ...

  3 +t = 4.8 +0.40t

  0.6t = 1.8 . . . . . . . . . subtract 0.40t +3

  t = 3 . . . . . . . . . . . divide by 0.6

3 grams of thyme must be added to the mix.

help on this maths
im confuse and dont know what to do

Answers

Answer:
30-2=28+542=570

Step-by-step explanation:

30-2=28+542=570
Hope this helps

help plss

Write the description of each transformation in the order of operations.

Answers

Answer: PEMDAS

Parenthesis exponents multiplication Division addition subtraction

Step-by-step explanation:

solve (x+1) first then after just follow pemdas  

SOMEONE PLEASE HELPPPPPPPPPPPP!
Given: (GH) is a midsegment of ∆DEF. Show all work.
Find the value of x and y.
What is the length of (DF)?

Answers

In the given ΔDEF x is 17 units and y is 2 units.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, GH is the midpoint of ΔDEF and EF is the base of the ΔDEF with a length of 28 units.

We know the midpoint of ΔDEF is (1/2) EF.

∴ GH = (28/2) = 14 units.

Now GH = x - 3.

14 = x - 3.

x = 17.

Given DH and FH are equal.

y + 8 = x - 7.

y + 8 = 17 - 7.

y + 8 = 10.

y = 2.

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What is the length of a rectangle that has an area of 12½ square feet and a width of 2½ feet?

Answers

Answer:

Step-by-step explanation:

l = length

w = width = 2.5

a = area = 12.5

l = a/w = 12.5/2.5 = 5

so the answer is l = 5

If 2 is added to a number and the sum is tripled, the result is 16 more than the number. Find the number.

Answers

Answer:

5

Step-by-step explanation:

5 + 2 = 7

7(3) = 21

_

5 + 16 = 21

Divide:
4⁄6 ÷ 2⁄6 =
..

Answers

Answer:2

Step-by-step explanation: I don’t have a explanation

Answer: 2

Step-by-step explanation:

You should be able to do this...

solve by factoring 6^2 − x - 12 = 0

Answers

[tex]{ \purple{ \tt{x = 3}}}[/tex]

[tex]{ \blue{ \sf{ {6}^{2} - x - 12 = 0}}}[/tex]

[tex]{ \blue{ \sf{36 - x - 12 = 0}}}[/tex]

Take 12 as common

[tex]{ \blue{ \sf{ \cancel{12}(3 - x) { \cancel{-12} = 0}}}}[/tex]

[tex]{ \blue{ \sf{3 - x = 0}}}[/tex]

[tex]{ \red{ \boxed{ \green{ \tt \overbrace{ \underbrace{x = 3}}}}}}[/tex]

The figure shows right triangle MPR on the coordinate plane. Line segment MQ is
a median of the triangle.

What are the coordinates of point Q? Explain your answer. Using the information in the figure, show that the length of the median MQ is half the length of the hypotenuse of MRP. Provide an argument supported by valid mathematical
reasoning and/or calculations.

Answers

Answer:

see explanation

Step-by-step explanation:

the median is a segment that goes from the vertex of a triangle to the midpoint of the opposite side.

Then Q is the midpoint of PR

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint M is

M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ) ← midpoint formula

use this formula to find the coordinates of Q

with (x₁, y₁ ) = R (0, 2b ) and (x₂, y₂ ) = P (2a, 0 )

Q = ( [tex]\frac{0+2a}{2}[/tex] , [tex]\frac{2b+0}{2}[/tex] ) = ( [tex]\frac{2a}{2}[/tex] , [tex]\frac{2b}{2}[/tex] ) = (a, b )

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

use the distance formula to find the lengths of median MQ and hypotenuse PR of Δ MRP

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = M (0, 0 ) and (x₂, y₂ ) = Q (a, b )

MQ = [tex]\sqrt{(a-0)^2+(b-0)^2}[/tex] = [tex]\sqrt{a^2+b^2}[/tex]

repeat with (x₁, y₁ ) = P (2a, 0 ) and (x₂, y₂ ) = R (0, 2b )

PR = [tex]\sqrt{(0-2a)^2+(2b-0)^2}[/tex]

     = [tex]\sqrt{(-2a)^2+(2b)^2}[/tex]

     = [tex]\sqrt{4a^2+4b^2}[/tex]

     = [tex]\sqrt{4(a^2+b^2)}[/tex]

     = 2[tex]\sqrt{a^2+b^2}[/tex]

then MQ is half PR

I'm very stuck on this problem, mainly because of how restricted the selection of proofs is, and if you can help or give ideas I would really appreciate just listening to your thoughts on the question, thank you!

Answers

Check the picture below.

so in the parallelogram, the two triangles split by the side AC are congruents as you can see there by AAS, that means their sides and angles are congruent, that also includes the exterior angles.

since the exterior angles are also congruent, we can extend lines BC and AD as you see there in green and run an exterior angle at vertices A and C, since those two exterior angles are congruent and are also alternate interior ones, voila! it must be that BC || AD.

a =? , b = 40 ft , C = 50 ft

Answers

Answer:

a = 30

Step-by-step explanation:

I am not exactly sure what the question is asking but if referring to right triangles, the Pythagorean theorem would work best.

Formula :

[tex]a^2 + b^2 = c^2\\\\[/tex]

Substitute values :

[tex]a^2 + 40^2 = 50^2\\a^2 + 1600 = 2500[/tex]

Solve for a:

[tex]a = \sqrt{2500 - 1600} \\a = 30[/tex]

** you could also use the 3:4:5 ratio

Mrs.Josey and her family were taking a trip to Dallas to go to the Botanical Gardens.If the trip was a total of 350 miles one way and their car can go 20 miles on one gallon of gas, how many gallons will they need to make it to Dallas

Answers

The number of gallons of gas which Mrs. Josey and her family would need is; 17.5 gallons of gas.

How much gas is needed to make it to Dallas?

It follows from the task content that the quantity of gas in gallons needed by Mrs. Josey and her family to make it to Dallas is to be determined.

Therefore, since one gallon of gas is enough for 20 miles, It follows that the amount of gas required for 350 miles can be determined by proportion as follows;

20/1 = 350/x

x = 350 / 20

x = 17.5 gallons of gas.

Ultimately, the amount of gas needed for Mrs. Josey and her family to make it to Dallas is; 17.5 gallons of gas.

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Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.
A) 6x + 4x - 6 + 24 + 9x
B) 25 - 4x = 15 - 3x +10 - x
C) 4x + 8 = 2x + 7 + 2x - 20

Answers

(i) The value of x is equal to 30 and the equation has one solution and it is neither identity nor contradiction.

(ii) This equation has infinite number of solutions and it is an identity.

(iii) This equation has no solutions and it is a contradiction.

What is identity and contradiction?

An identity is an equation that can be solved using any integer that can replace the variable in the equation in a meaningful way. A conditional equation is one that is met by some numbers but not by others, such as 2x = 4. A contradiction is an equation, such as x = x + 1, that cannot be solved.

We know that,

An equation having infinitely many solutions is called an identity equation.

An equation that having no solution is called a contradiction.

(i) 6x + 4x - 6 + 24 + 9x

Combining like terms

x = 30

Therefore, The value of x is equal to 30 and the equation has one solution and it is neither identity nor contradiction.

(ii) 25 - 4x = 15 - 3x +10 - x

Combining like terms

0 = 0

It means, The equation is true for all values of x.

Therefore, This equation has infinite number of solutions and it is an identity.

(iii) 4x + 8 = 2x + 7 + 2x - 20

Combining like terms

8 = -13

It means, The equation is not true for any value of x.

Therefore,  This equation has no solutions and it is a contradiction.

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If 10 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many ways are there to line up the 10 students?

Answers

Answer: The answer is 10

Step-by-step explanation:

1.3 x 10 to the power of negative 3

Answers

Answer:0.0013

Step-by-step explanation:

Answer: the answer is on  the calclulator

Step-by-step explanation:

Simplify:
a+b
a-b
[?]
a=5 and b=3

Answers

Simplification of the given expression ( a + b ) / ( a - b ) for the given values of a and b is equal to ( 4 / 1 ).

As given in the question,

Given expression:

( a + b ) / ( a - b )

Simplification of the given expression ( a + b ) / ( a - b ) for the value

a = 5 and b = 3 is given by,

( a + b ) / ( a - b ) we get,

( a + b ) / ( a - b )

= ( 5 + 3 ) / ( 5 - 3)

= ( 8 ) / ( 2 )

= ( 4 × 2 ) / ( 2 )

= ( 4 / 1 )

Therefore, simplification of the given expression ( a + b ) / ( a - b ) for the given values of a and b is equal to ( 4 / 1 ).

The complete question is:

Simplify the given expression:

(a + b)/ (a -b) = ?

For a=5 and b=3

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does it mean the common multiples?

Answers

The expressions given in the questions mean that the least common denominator is the least common multiple.

According to the question,

We have the following information:

We have three questions of fractions which are either in addition or subtraction.

Now, we will only look at the denominators of these fractions. And note that the least common multiple is same as the least common denominator.

For first one, it is 6 and 4:

Each multiple of 6: 2*3

Multiples of 4:2*2

The least common multiple of 6 and 4: 12

The least common denominator is 12.

For second one, it is 7 and 3.

Each multiple of 7: 7

Multiple of 3: 3

The least common multiple of 7 and 3: 21

The least common denominator of 7 and 3: 21

For third one, it is 8 and 2.

Multiples of 8: 2*2*2

Multiples of 2: 2

The least common multiple of 8 and 2: 8

The least common denominator is 8.

Hence, the expressions given in the questions mean that it is the least common multiple.

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Solve one sixth times quantity x plus 24 end quantity equals negative 6

Answers

The value of one-sixth times quantity x plus 24 end quantity equals negative 6 is -180.

What is an expression?

The expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, the expression given will be illustrated as:

1/6x + 24 = -6

Collect like terms

x / 6 = -6 - 24

x/6 = -30

Cross multiply

x = -30 × 6

x = -180

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A construction worker earns an average bi-weekly net pay of $1,764.00. Which compound inequality correctly shows the amount of money, t, the worker can spend if the monthly budget for food is between 10% and 20%?

$176.40 ≤ t ≤ $352.80
$352.80 ≤ t ≤ $706.50
$382.20 ≤ t ≤ $764.40
$420.42 ≤ t ≤ $573.30

Answers

The compound inequality is $176.40 ≤ t ≤ $352.80 if a construction worker earns an average bi-weekly net pay of $1,764.00 option (A) Is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

A construction worker earns an average bi-weekly net pay of $1,764.00.

= 10% of 1764

= (10/100)1764

= $176.4

= 20% of 1764

= (20/100)1764

= $352.8

Inequality will be: $176.40 ≤ t ≤ $352.80

Thus, the compound inequality is $176.40 ≤ t ≤ $352.80 if a construction worker earns an average bi-weekly net pay of $1,764.00 option (A) Is correct.

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Answer:

$382.20 ≤ t ≤ $764.40

Step-by-step explanation:

Hello, so first we would need to convert bi-weekly pay to monthly income.

First we would times $1,764.00 by 26

1764.00 × 26 = 45864

Then we would divide 45864 by 12

45864 ÷ 12 = 3822.

Then we calculate how much the worker can spend  if their monthly budget for food is in between 10% and 20%

3822 ×  10% = 382.20

3822 × 20% = 764.40

So, we can see the correct answer is $382.20 ≤ t ≤ $764.40.

**BRAINLEST**, **THANKS** AND **5 STARS** TO WHOEVER ANSWERS CORRECT FIRST! PLEASE HELP ME OUT THIS IS FOR ALGERBRA 2/PRE-CALCULUS

- During a certain time of year, the daily temperature in a certain city, in degrees Celsius follows a periodic pattern. The graph below shows the temperature over two days, where time t is measured in hours after 12:00 a.m. (midnight) on the first day.

- Write an equation for the graph below in terms of Y (temperature in degrees Celsius) and T (time in hours) to represent the given context.


- ANSWER SHOULD LOOK LIKE THIS FORMULA

y = ( a ) sin ( b ) (t - h) + k

- IF YOUR STILL UNCLEAR, THE SECOND SCREENSHOT IS WHAT THE ANSWER SHOULD LOOK LIKE
- (NO, THAT SECOND PHOTO WITH THE FORMULA ISNT THE ANSWER!!!!!)

GRAPH IS GIVEN BELOW PLEASE HELP ME OUT! ILL GIVE BRAINLIEST VOTE 5 STARS AND GIVE THANKS IF YOURE CORRECT AND FAST!!!! PLEASE HELP ME OUT

Answers

The sinusoidal equation for the graph in terms of Y, the temperature in degrees Celsius) and the time, T in hours is; Y = 3·sin((π/12)·(T + 6)) + 15

What is a sinusoidal equation?

A sinusoidal equation or function is an oscillating and periodic function that is based on the sine of an angle.

The required form of the response is y = a·sin(b·(t - h)) + k

The function of the graph is a sinusoidal function with the parts;

a = The amplitude

b = The frequency = 1/T

T = The period of the function

k = The vertical shift of the function

h = The horizontal shift of the function

From the graph, we have;

The minimum  point on the graph of the function = (1, 12)

The maximum point on the graph of the function = (13, 18)

The amplitude of the graph a is therefore; a = (18 - 12)÷2 = 3

The period of the graph = 1/b

1 cycle is completed in 24 hours, which indicates that the frequency of the function is; f = 2·π/24 = π/12 = b

The vertical shift, k from the parent function, y = sin(x) which is the distance the midline of the graph is raised above the x-axis is; k = 15

sin((π/12)·(0 - h)) = -1

((π/12)·(0 - h)) = -π/2

-h = 6

h = -6

The function, y = a·sin(b·(t - h)) + k, is therefore;

y = 3·sin((π/12)·(t + 6)) + 15

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The locker's combination code
consists of one letter and 3 digits.
How many possible different codes
exist, if the letter can be A or C and
must come first, and the digits can
be repeated?

Answers

The number of different codes as the letters A or C must come first and digits can be repeated is 2000

Permutation and Combination:  

Permutations and combinations are a subset of the study of finite, discrete structures that are known as combinatorics. Combinations include the selection of items without respect to order, whereas permutations are precise selections of elements within a set where the order of the elements is significant.  

Here we have,

The locker combination code consists of one letter and 3 digits  

Here we need to find the number of different codes If the letter A or C must come first and digits can be repeated.

Given that the first letters are A and C

Here number of ways that A and C can be chosen at first = 2

As we know Number of digits = 10  [ including 0, 0 to 9 ]

Number of arrangements that can be chosen from 10 digits

= 10 × 10 ×10   [ Since repetition is allowed ]  

Therefore,

The possible number of different codes = 2 × 10 × 10 ×10 = 2000

Therefore

The number of different codes as the letters A or C must come first and digits can be repeated is 2000

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1. A candle weighs 300 grams (g). Each hour the candle is lit, it burns 4 g of its wax. a. Leth be the number of hours the candle burns. Write an equation that can be used to determine the number of hours it takes for the candle to weigh 206.4 g. b. Solve the equation to determine the number of hours it takes for the candle to weigh 206.4 g. Show your work.

Please help me tomorrow I Will hace a test about this question!!​

Answers

Answer:

Step-by-step explanation:

300 grams-24 hour= 276 so i think u just need to keep doing this till it gets to 206.4

The equation which represents the number of hours will be ln(206.4) = 1200ln(0.014).

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a candle weighs 300 grams (g). Each hour the candle is lit, it burns 4 g of its wax. a. Leth be the number of hours the candle burns.

The equation for the number of hours will be calculated as,
[tex]h=300\times (0.014)^h[/tex]

lnh= 300 x ln(0.014)

Therefore, the equation which represents the number of hours will be ln(206.4) = 1200ln(0.014).

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how to solve a linear equation if x and y is zero ​

Answers

Answer:

0

Step-by-step explanation:

if we x and y = 0

if we have 3x + 3y= 0

Other Questions
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