Simplify 5^-4/5^3 (help please asap)

Simplify 5^-4/5^3 (help Please Asap)

Answers

Answer 1

Answer:

Rewrite 5[tex] {5}^{2?} [/tex]as[tex] {5} -^{4?} \times {5}^{7?} [/tex]Cancel out 5-4 both numerator and denominator[tex] \frac{1}{5 {}^{?7} ?} [/tex]calculate 5 to the power of 7 and get 78125[tex] \frac{1}{78125} [/tex]is equal to 0.0000128
Answer 2

Answer:

=5^(-4)*5^(-3)

=5^(-7)

=1/5^(7)

Step-by-step explanation:

i took the denominator and multiplied it to the numerator

when powers of the same base are multiplying we add the exponents, so I added the -3 to -4 and got -7 which gives me 5^(-7) which is 1/5^(7)


Related Questions

What is the area of a triangle whose vertices are X(1, 1), Y(3, -1), and Z(4, 4)?
Please respond within 24 hours.(Worth 100 points becasue of how much I need it.)

Answers

Answer:

Step-by-step explanation:

A population of sea turtles decreases by 25% per year. The population size is currently 1,024. Which expression calculates the population x years From now?​

Answers

The expression calculates the population x years from now will be given as y = 1024 (0.75)ˣ.

What is an exponent?

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %

The population of sea turtles decreases by 25% per year. The population size is currently 1,024.

Let y be the population of sea turtles and x be the number of years.

Then we have

y = 1024 (1 - 0.25) ˣ

y = 1024 (0.75) ˣ

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A point has been translated left and down. Based on the graph, which could be true? Check all that apply. A is the image of C. A is the image of D. B is the image of D. B is the image of E C is the image of A. C is the image of D. D is the image of E.​ please please hurry with the answers.

Answers

From the image that we have here, the translation of the image would be:

B is the image of D. B is the image of E.C is the image of D.

What is translation in mathematics?

In the field of mathematics, this is the type of transformation which would take points in an image and move it in similar distance and direction.

It has to do with the movement of points in an horizontal manner or in a vertical manner.

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I have it on the photo please help

Answers

Since the line is a solid line and the graph is shaded below, the required equation will be 3y-  x≤ -4

Equation of a line

The standard equation of a line in slope intercept form is expressed as y = mx+b

Using the coordinate points (4,0) and (1, -1)

Determine the slope

Sope = -1/-3
Slope = 1/3

For the y-intercept

0 = 1/3(4) + b

b = -4/3

Substitute

y = 1/3x - 4/3

Rewrite in standard form

3y = x - 4
3y - x = -4

Since the line is a solid line and the graph is shaded below, the required equation will be 3y-  x≤ -4

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Manny drove 385 miles in 7 hours. How far will he go in 12 hours?

Answers

Answer:

660 miles.

Step-by-step explanation:

385 m/7 h = 55 m/h

55 m/h * 12 h = 660 m


Pablo Started to run on a treadmill after its timer for
77 minutes. The display says that he has finished 54% of his fun.
How many minutes have gone by?

Answers

Answer:  42 minutes

Work Shown:

54% = 54/100 = 0.54

54% of 77 = 0.54*77 = 41.58

That rounds to 42 if your teacher wants you to round to the nearest whole minute.

Which equation represents a line that passes through (4, left-parenthesis 4, StartFraction one-third EndFractin right-parenthesis.) and has a slope of StartFraction 3 Over 4 EndFraction.?

y – y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis. = y minus StartFraction 3 Over 4 EndFraction equals StartFraction one-third EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
y – y minus StartFraction one-third EndFraction equals 4 left-parenthesis x minus StartFraction 3 Over 4 EndFraction right-parenthesis. = y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
y – y minus StartFraction one-third EndFraction equals 4 left-parenthesis x minus StartFraction 3 Over 4 EndFraction right-parenthesis. = 4(x – )
y – 4 = y minus 4 equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus StartFraction one-third EndFraction right-parenthesis.(x – )

Answers

The equation represents a line that passes through(4, 1/3) and has a slope of 3/4 option A; y - 1/3 = 3/4 ( x - 4).

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

we know that            

The equation of the line into point-slope form is equal to                        

y-y₁ = m(x-x₁)

             

we have          

(x₁, y₁) = (4, 1/3)

m = 3/4

 

substitute the given values                

y-y₁ = m(x-x₁)

y - 1/3 = 3/4 ( x - 4)

therefore,

y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)

Thus, option A is correct.

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find the coordinates of the vertices of the figure after the given transformation T <2,4>
OA.J'(-2,-1),E'(-2,1),V'(1,3)
OB. J'(1, -1), E'(1, 1), V' (4, 3)
OC. J'(0, -2), E (0, 0), V' (3, 2)
OD. J' (-3, -2), E'(-3,0), V'(0, 2)

Answers

The correct answer is option A which is j'(1,3) , E'( -2,1) and V'( 1,3).

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that:-

The coordinates of the vertices of the figure after the given transformation T <2,4>

So we will transform the points given in the figure.

V(-1,-1) , J(-4,-5) and E(-4,-3).

The transformation will be given as:-

V(-1,-1)  → V'(-1+2 , -1 + 4)      → V'( 1,3 )

J(-4,-5) → J'( -4 +2 , -5 + 4 )  → J'( -2,-1 )

E(-4,-3). → E'( -4+2 , -3+4 )   → E' ( -2, 1 )

Therefore  correct answer is option A which is j'(1,3) , E'( -2,1) and V'( 1,3).

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6.10^5 is how many times as large as 3.10^3

Answers

all you have to do is subtract the powers and then the basis so:
5-3=2 , 6/3=2 => 2.10^2 or 200 times larger

Mr. Jefferson is building a seesaw for the playground using the diagram shown. In the diagram, the seesaw board is parallel to ground level and the triangle is an isosceles triangle. What is m1?

Answers

The angle m1 will be equal to 50°. The correct answer is option A.

The complete question is as below:-

Mr Jefferson is building a seesaw for the playground using the diagram shown. (see picture) In the diagram, the seesaw board is parallel to ground level and the triangle is an isosceles triangle.

What is m1?

A. 50º

B. 65º

C. 115º

D. 130º

What is trigonometry?

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

We can find the angle using the opposite angles theorem.  When two are lines are crossed, there are four angles formed between them, and the opposite angles will be always equal.

Now, since the seesaw board is parallel to the ground, we can deduct (applying the opposite angles theorem) that both angles formed at the base of the triangle are equal to 65°.

Also, we must remember that the sum of the three interior angles of a triangle will be always equal to 180°, so:

m1 = 180 - ( 65 + 65 0

m1 = 50°

Therefore the angle m1 will be equal to 50°. The correct answer is option A.

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Which is true about the functional relationship shown in the graph?
Cost of Apples
0
2
3
Weight (pounds)
A. The cost of the apples is a function of their weight.
B. The weight of the apples is a function of the number of apples.
C. The cost of the apples is a function of the type of apples.
D. The weight of the apples is a function of their cost.
Cost ($)
28882889882
110
100
90
80
70
50
40
30
20
10

Answers

its b Answer:

Step-by-step explanation:

The cost of the apples is a function of their weight option (A) is correct because the independent variable (x) is the weight of the apples.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

The options are:

A. The cost of the apples is a function of their weight.B. The weight of the apples is a function of the number of apples.C. The cost of the apples is a function of the type of apples.D. The weight of the apples is a function of their cost.

From the graph:

The y-axis is representing the cost(c) of the apples in dollars and

The x-axis is representing the weight(w) of the apples in pounds.

c = f(w)

The independent variable (w) is the weight of the apples

The dependent variable (c) is the cost of the apples

Thus, the cost of the apples is a function of their weight option (A) is correct because the independent variable (w) is the weight of the apples.

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pless help me and right answers

Answers

Answer:

b

Step-by-step explanation:

ig becuase the line goes through 0,0 so it starts from negative

A group of kids just finished trick-or-treating. The number of pieces of candy collected by each of the 5 kids is listed below.
31,33,36,41,34
Find the standard deviation of the data set. Round your answer to the nearest hundredth.

Answers

The standard deviation is about 3.81
To find standard deviation on calculator hit stat, 1, enter in each number, hit stat again, the hit the arrow to go to calc, then 1, and enter until it shows you the stats. The icon that says Sx is standard deviation for the data set you entered.

a rectangle with a perimeter of 30 centimeters is twice as long as it is wide. what is the area of the rectangle in square centimenters?

Answers

Answer:

50cm squared

Step-by-step explanation:

Imagine the width is 'a'

Then the length will be 2a as it's twice as wide as it's long.

The formula for perimeter is 2(L+W)

If we subsitute the algebra/numbers in we get

P = 2(L+W)

30 = 2(2a+a)

30 = 2(3a)

30 = 6a

5 = a

a = 5cm

Then the area is the following

A = LW

A = 2a(a)

A = (2(5))(5)

A = 10(5)

A = 50cm squared

Find the slope(20 points)

Answers

The slope of a line is the rate of change of the line. The slope of the line is 1

Slope of a line

The slope of a line is the rate of change of the line. The slope os calculated as:

Slope = y2-y1/x2-x1

Using the coordinate points (-1, 0) and (0, 1)

Substitute

Slope = 1-0/0-(-1)

Slope = 1/1

Slope = 1

Hence the slope of the line is 1

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What is the sum of −4/5 and 2/3?

Answers

Answer:

-0.33333 (3 is repeating )

Step-by-step explanation:

Question 9 of 13
Which of the following scatterplots represents the data shown below?
(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47),
(9,34), (10,3), (11, 33), (12, 35)

Answers

The attached graph represents the scatter plot of the points

How to determine the scatter plot?

The lists of options are not given. So, I will plot the points and upload the scatter plot as an attachment.

The points are given as:

(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47), (9,34), (10,3), (11, 33), (12, 35)

The above points would be plotted using the following scale:

x: axis -> 1 interval = 10 unitsy: axis -> 1 interval = 10 units

See attachment for the scatter plot

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Question 8
Select the solution to the following system of equations:
3x+2y=0
-x-y=1

Answers

Answer:

-x-y=1

-x= 1+y

x= -1-y

3x+2y=0

3(-1-y) +2y=0

-3-3y+2y=0

-3-y=0

y= -3

x= -1-(-3)

x= -1+3

x= 2

Therefore, x= 2 and y= -3

Simplify:
-11√21-11√/21

Answers

Step-by-step explanation:

by using the radical and suds rule

what is 3+7, i got 346 but i dont know if its right

Answers

Answer:

10

Step-by-step explanation: The sum of 3+7 is 10

Answer:

10

Step-by-step explanation:

3+7 is 10

if you add 1 on to 7 three times, we get

8,9,10

(i know this is a troll question lol)

hope this helps!

give brainliest :)

A positive; 1 student; $350
B negative; 1 student; $350
C positive; 1 student; $500
D negative; 1 student; $600

Answers

A i think beacuse the 1 student is below 500 and the slope is positive because it’s going up

write an article for publication into the school's magazine on three effects of indiscipline and suggest about three ways of arresting the menace​

Answers

Answer:

East West Point E.W English School's effects and solutions of indiscipline

Effects.peer influence.Teacher's immoral relationship.Poor attitude of teachers to work

Solutions .Review children's act to incorporate emerging issues.Indiscipline students be absorbed into correctional schools.That student involved in criminal activities be treated as criminals and dealt with in accordance with lawStep-by-step explanation:.......

C. If one cubic foot contains about 7.5 gallons, how many gallons of water are in the pool? (3 points) I Water: gallons 3. A rectangular cake pan is 13 inches by 9 inches by 2 inches. A round cake pan has a diameter of 8 inches and a height of 2 inches. Which will hold more batter, one rectangular pan or two round pans? (5 points)​

Answers

Answer:

One Rectangular Pan

Step-by-step explanation:

Part C cannot be answered since the dimensions of the pool are not given.  Please check the question.

The cake pans may be compared by calculating the volume of each shape:

Rectangular pan:  Volume = Length x Width x Height

  Volume Rectangle = (13")*(9")*(2") = 234 in^3

Round pan:  Volume = [tex]\pi r^{2} h[/tex]

  Volume Round = (3.14)*(4")^2(2") = 100.5 in^3

Two round pans will hold 2*(100.5 in^3) or 201 in^3 of batter

One rectangular pan holds 234 in^3.

Go with the rectangular pan if you want more cake.

what does 7,124 ÷ 26 equal too explain with what you know

Answers

Answer:

274

Step-by-step explanation:

i used a calculator. You can try long division

Answer:

274

Step-by-step explanation:

7,124 ÷ 26 =274

0 2 7 4

2 6 7 1 2 4

0  

7 1  

5 2  

1 9 2

1 8 2

1 0 4

1 0 4

0

What are the solutions of the equation x^4-9x^2+8=0? Use u substitution to solve.

Answers

Answer:

The answer is the second option

Step-by-step explanation:

Let u=x^2.

[tex]( {x}^{2} ) {}^{2} - 9( {x}^{2} ) + 8( {x}^{2} ) {}^{0} [/tex]

[tex] {u}^{2} - 9u + 8[/tex]

[tex](u - 1)(u - 8)[/tex]

[tex]u = 1[/tex]

[tex]u = 8[/tex]

Set this equal to x^2

[tex] {x}^{2} = 1[/tex]

[tex]x = 1[/tex]

or

[tex]x = - 1[/tex]

[tex] {x}^{2} = 8[/tex]

[tex]x = 2 \sqrt{2} [/tex]

or

[tex]x = - 2 \sqrt{2} [/tex]

the graph of y = cos(x) was shifted downwards by 3 units, shrink horizontally by a fourth of a unit, inverted horizontally and shifted 60° to the left. if it has an amplitude of 5 units, write the equation of the resulting graph.​

Answers

Using translation concepts, it is found that the equation of the resulting graph is given by:

[tex]y = 2.5(\cos{(4x - 60^\circ)} - 3)[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

[tex]y = \cos{x}[/tex]

The transformations are as follows:

Shift down of 3 units, hence [tex]y = \cos{x} - 3[/tex].Shrink horizontally by a fourth of a unit, hence [tex]y = \cos{(4x)} - 3[/tex].Inverted horizontally, hence [tex]y = \cos{-4x} - 3 = \cos{(4x)} - 3[/tex], as the cosine function is even.Shifted 60° to the left, hence [tex]y = \cos{(4x - 60^\circ)} - 3[/tex]Amplitude of 5 units, hence the function is multiplied by 5/2 = 2.5, that is, [tex]y = 2.5(\cos{(4x - 60^\circ)} - 3)[/tex].

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quadratic formula
[tex] {4v}^{2} - 16v + 7 = 0[/tex]
Please help​

Answers

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{4}v^2\stackrel{\stackrel{b}{\downarrow }}{-16}v\stackrel{\stackrel{c}{\downarrow }}{+7}=0 \qquad \qquad v= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ v= \cfrac{ - (-16) \pm \sqrt { (-16)^2 -4(4)(7)}}{2(4)} \implies v= \cfrac{ 16 \pm \sqrt { 256 -112}}{ 8 } \\\\\\ v=\cfrac{16\pm\sqrt{144}}{8}\implies v=\cfrac{16\pm 12}{8}\implies v= \begin{cases} \frac{7}{2}\\[1em] \frac{1}{2} \end{cases}[/tex]

Correct to four significant figures (573.06*184.25)

Answers

Answer:

105600

Step-by-step explanation:

Significant figures are used in scientific fields to show precision.

Multiplication

When rounding to significant figures you need to first do the operation shown. So, before we round we need to multiply 573.06 * 184.25.

573.06 * 184.25 = 105586.305

This is an important step whenever you are rounding to significant figures. If you preround, you will be left with the wrong answer.

Significant Figures

Now that we have the answer before rounding, we need to know how to determine significant figures. If there is a decimal point present, then start counting significant figures at the first non-zero digit from the left.

For example:

The number 539.760 has 6 significant figures

If the decimal point is not present, then start counting significant figures from the first non-zero digit from the right.

For example:

The number 280020 has 5 significant figures

Rounding

Finally, we can round our answer. Firstly, there are more than 4 digits before the decimal point. This means that our rounded answer will not have a decimal point, so when counting sig figs we will start from the right. Remember, even when rounding, a number should always have the same number of digits before the decimal point, even if they are not all significant.

Since we are rounding to 4 sig figs, we need to look at the 5th digit from the left, which is 8. This means we will round up.

So, write the first 4 digits of the number, but round the last one up. Then, write the remaining digits before the decimal point as 0.

105586.305 rounds to 105600

find the next 3 terms of the following sequences a.4,9, 16,25 b.1,4,9, 16 c.1,4,7,10 d.3,9, 15, 21​

Answers

Answer:

for a) the next three would be 36, 49 and 64

for b) the next three would be 25, 36 and 49

for c) the next three would be 13, 16, and 19

for d) the next three would be 27, 33, and 39

Step-by-step explanation:

Answers:

(a) 36, 49, 64(b) 25, 36, 49(c) 13, 16, 19(d) 27, 33, 39

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

Explanations:

(a) The given terms 4,9,16,25 are perfect squares (eg: 16 = 4^2 and 5^2 = 25). The next set of perfect squares are 6^2 = 36, 7^2 = 49 and 8^2 = 64.(b) Similar to the previous part. This time the next three terms are 25, 36, and 49 because 5^2 = 25, 6^2 = 36 and 7^2 = 49.(c) We start at 1 and add 3 each time. This sequence is arithmetic. The next term after 10 is 10+3 = 13. After that is 13+3 = 16. Finally 16+3 = 19 is the last term we need.(d) Similar to part (c) earlier. This time we start at 3 and add 6 each time. The next three terms are 21+6 = 27, and 27+6 = 33, and finally 33+6 = 39

GIVING OUT BRAINLIEST!

2. Which integers do you use for counting?

Answers

Answer:

Whole integers

Step-by-step explanation:

0, 1, 2, 3, 4, 5... are all whole numbers, or the counting numbers. If we didn't specify "whole", then that would also include decimals, and we don't count usually with decimals.

Hope this helps!

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