Explain how the Quotient of Powers Property was used to simplify this expression. 5 to the fourth power, over 25 = 52

Answers

Answer 1
5^4/25 = 52
The quotient law states that x^m divided by x^n = x^m-n, so I think ;

We first change 25 to 5^ 2
Therefore,
5^4/5^2 = 52

5^4-2 =52

5^2 = 52

Then we change the sum to logarithmic form, which is b^x=y is the same as log (base) b (y)= x

So,
Log (base) 5 (52)= 2

Use the calculator to find the value of the log on your left and the answer is:

2.45504.... = 2

Therefore 2 (to the nearest whole number) = 2




Related Questions

What is the quotient in simplest form?

3/4 divided by 5/16
ANSWE QUICK PLS

Answers

Answer:

2 2/5

Step-by-step explanation:

3/4 divided  by 5/16 = 12/5

12 goes into 5 2 times making

2 2/5

Answer:

2 2/5

Step-by-step explanation:

3/4 ÷ 5/16 =

3/4 · 16/5 =

2 2/5

3/4 divided by 5/16 is equal to 2 2/5.

6. The right triangles ABC and DEF are
similar. The hypotenuse of AABC
measures 28 cm and the hypotenuse
of A DEF measures 7 cm. If one of the
legs of AABC measures 16 cm, what
does the corresponding leg of ADEF
measure?
F 1 cm
H 12 cm
G 4 cm
J 64 cm

Answers

Answer:

G. 4 cm

Step-by-step explanation:

28 divided by 7 equals 4.

So, 16 divided by 4 equals 4, which is the answer.

4 is the multiple that relates AABC to ADEF.

7.
During the month of December, the low temperature was - 23° F and the high temperature was
-2° F. What is the range of December temperature?​

Answers

Answer:

I think around 15°c

Step-by-step explanation:

PLEASE accept me in brainly

Simplify the expression -4^2(3x - 7)

Answers

Answer:

−48x+112

Step-by-step explanation:

evatulate: −16  (3−7)

                -48+112

how much ounces are in 22 grams 0.035x

Answers

Answer:

0.77 ounces

My apologies if my answer is wrong :)

Answer:

0.77

Step-by-step explanation:

Find the distance between the
following points using the
Pythagorean theorem: (5, 10)
and (10, 12)

Answers

Answer:

[tex]\displaystyle d = \sqrt{29}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

Step 1: Define

Identify

Point (5, 10)

Point (10, 12)

Step 2: Find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{5^2 + 2^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{25 + 4}[/tex][√Radical] Add:                                                                                                  [tex]\displaystyle d = \sqrt{29}[/tex]

Question 4 of 5
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used
Match each explicit formula to its corresponding recursive formula.
(8) = 5(5)(1-1)
(n) = 3 +5(n-1)
(3) = 5+3(1-1)
7(n) = 3(5)(n-1)
$(n) = 5 +5(n-1)
f(1) = 5
(*) = 3;(n - 1), for 3
(1) = 5
(n) = f(n-1) +5, for n?
f(1) = 5
f(n) = f(n-1) + 3, for n?

Answers

Given:

The recursive formulae.

To find:

The correct explicit formulae for the given recursive formulae.

Solution:

If the recursive formula of a GP is [tex]f(n)=rf(n-1), f(1)=a, n\geq 2[/tex], then the explicit formula of that GP is:

[tex]f(n)=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

The first recursive formula is:

[tex]f(1)=5[/tex]

[tex]f(n)=3f(n-1)[/tex] for [tex]n\geq 2[/tex].

It is the recursive formula of a GP with a=5 and r=3. So, the required explicit formula is:

[tex]f(n)=5(3)^{n-1}[/tex]

Therefore, the required explicit formula for the first recursive formula is [tex]f(n)=5(3)^{n-1}[/tex].

If the recursive formula of an AP is [tex]f(n)=f(n-1)+d, f(1)=a, n\geq 2[/tex], then the explicit formula of that AP is:

[tex]f(n)=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

The second recursive formula is:

[tex]f(1)=5[/tex]

[tex]f(n)=f(n-1)+5[/tex] for [tex]n\geq 2[/tex].

It is the recursive formula of an AP with a=5 and d=5. So, the required explicit formula is:

[tex]f(n)=5+(n-1)5[/tex]

[tex]f(n)=5+5(n-1)[/tex]

Therefore, the required explicit formula for the second recursive formula is [tex]f(n)=5+5(n-1)[/tex].

The third recursive formula is:

[tex]f(1)=5[/tex]

[tex]f(n)=f(n-1)+3[/tex] for [tex]n\geq 2[/tex].

It is the recursive formula of an AP with a=5 and d=3. So, the required explicit formula is:

[tex]f(n)=5+(n-1)3[/tex]

[tex]f(n)=5+3(n-1)[/tex]

Therefore, the required explicit formula for the third recursive formula is [tex]f(n)=5+3(n-1)[/tex].

Using the theorems and given information, which of the following proves a∥b?

Given: m∠3=(12x+24)∘, m∠5=(10x+40)∘, and x=8

Answers

Answer:

m∠3=12(8)+24=120

m∠5=10(8)+40=120

m∠3=m∠5,∠3=∠5

OAmalOHopeO

Ram thinks of a number if he adds 3 to 5 times the number he gets 38. what is the number?​

Answers

Answer:

7

Step-by-step explanation:

Set up an equation to model the situation. Let (x) represent the unknown number.

(5x) + 3 = 38

Use inverse operations to solve for the unknown,

(5x) + 3 = 38

5x = 35

x = 7

Can someone help me with this math homework please!

Answers

Answer:

Graph number 3 is correct :)

Answer:

It's the 3rd pic

Step-by-step explanation:

It's written in y=mx+b form

the m is slope so 2/3 is the slope. You go up 2 and right 3

b is the y-intercept

hope this helps

HELP QUICK PLEASE!

Which postulate, if any, could be used to prove the triangles are congruent?
Hypotenuse-Leg (HL)
Side-Angle-Side (SAS)
O Side-Side-Side (SSS)
The triangles cannot be proved congruent.

Answers

Answer:

Side-Side-Side (SSS)

Step-by-step explanation:

Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

the polygons in each pair are similar. find the missing side length.​

Answers

Given:

The polygon in the given figure are similar.

To find:

The missing side length.​

Solution:

We know that the corresponding sides of similar figures are proportional.

The given polygons are similar, so the their corresponding sides are proportional.

[tex]\dfrac{x}{15}=\dfrac{32}{40}=\dfrac{32}{40}[/tex]

So, the missing values in the equation of proportion are 15, 40, 32 respectively.

On solving the above equation, we get

[tex]\dfrac{x}{15}=\dfrac{4}{5}=\dfrac{4}{5}[/tex]

[tex]\dfrac{x}{15}=\dfrac{4}{5}[/tex]

[tex]x=\dfrac{4}{5}\times 15[/tex]

[tex]x=12[/tex]

Therefore, the value of x is 12.

What are the coordinates of the midpoint between the points (-4, -9) and (-8, -5)? Select the best answer from the choices provided. A. (-4, -4) B. (-6, -7) C. (-6, -4) D. (-4, -7)

Answers

B). (-6,-7)

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

Can someone please help me with this I’m struggling

Answers

Answer:

Equation:  [tex]70=(x+3)x[/tex]

x = -10 or x = 7

x = 7 (width can't be negative)

x + 3 = 10

Step-by-step explanation:

Represent the width of the rectangle by  x.  "The length of a rectangle EXCEEDS the width by 3" means the length is 3 LONGER than the width, so the length is represented by the expression  x + 3.

Area = (length)(width)

70 = (x + 3)x

Multiply out the right side.

[tex]70=x^2+3x\\x^2+3x-70=0[/tex]

Factor the left side.

[tex](x+10)(x-7)=0[/tex]

Each binomial could equal 0, so

[tex]x+10=0 \text{ or }x-7=0\\x=-10\text{ or }x=7[/tex]

The negative solution does not make sense as the width of a rectangle.

x = 7, making the length, x + 3 = 10

Answer:

Pls mark this as brainiest

Step-by-step explanation:

Area of the rectangle = length x breadth

consider 'x' to be width

therefore length = x+3

area = (x+3)*x

Area = 70 square

x = 7

x+3 = 7+3

      = 10

verification

7 x 10

= 70

Complete the missing parts of the
table for the following function. (picture) please answer all asap

Answers

Answer:

x=-1  y = 1/3

x = 1  y = 3

x = 3  y = 27

Step-by-step explanation:

y = 3^x

Let x = -1

y = 3^-1 = 1/3^1 = 1/3

Let x = 1

y = 3^1 = 3

Let x = 3

y = 3^3 = 27


Question 4(Multiple Choice Worth 4 points)
.
(08.03)Solve the system of equations and choose the correct answer from the list of options.
X + y = -3
y = 2x + 2

a- five over 3, four over 3
b-negative five over 3, negative four over 3
c- negative 3 over 5 negative 3 over 4
D- 3 over 4, 3 over 5

Answers

Answer:

Hello,

Answer B (-5/3,-4/3)

Step-by-step explanation:

I am going to use the substitution 's method.

[tex]\left\{\begin{array}{ccc}x+y&=&-3\\y&=&2x+2\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&2x+2\\x+2x+2&=&-3\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&2x+2\\3x&=&-5\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&-\dfrac{5}{3} \\\\y&=&2*(-\dfrac{5}{3})+2\\\end {array} \right.\\\\\\\boxed{\left\{\begin{array}{ccc}x&=&-\dfrac{5}{3} \\\\y&=&-\dfrac{4}{3}\\\end {array} \right.\\}[/tex]

the diagram shows a prism work out the volume???

Answers

Answer:

Volume is equal to

L×W×H

=(10×9×7)cm

=90×7

=630

The volume of the prism is 980cm3.

We are given that;

The dimensions= 4*7*9*2*10cm

Now,

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

Volume of upper prism;

=5*4*40

=800cm3

Volume of lower prism;

=2*9*10

=180cm3

Total volume= upper volume + lower volume

=980cm3

Therefore, by the rectangular prism the answer will be 980cm3.

Learn more about a rectangular prism;

https://brainly.com/question/21308574

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11.(02.03)
The table shows the solution to the equation |2x - 31 - 1 = 2:
Step 1 |2x - 3) = 2 + 1
Step 2 12x - 3| = 3
Step 3 2x - 3 = 3 or 2x + 3 = 3
Step 4 2x = 6 or 2x = 0
Step 5 x = 3 or x = 0
Which is the first incorrect step? (1 point)
O Step 1
O Step 3
Step 5
O Solution is correct

Answers

Answer:

step number 1 is incorrect.

Step-by-step explanation:

Here is the solution of this equation [2x-31-1=2].

2x-31-1=2

or 2x-31=2+1

or 2x=2+1+31

or 2x= 34

or x=34/2

or x= 17

the answer of this equation is X=17.

Answer:

Step 1

Step-by-step explanation:

If you translate ABC 5 units to the right and 2 units down, what will be the location of A’?

Answers

I believe it's (2,2) but I can't see the screen that well, but that's my best guess :)

TJ’s Cat Food plans to use tins that are the shape of cylinders. The internal measurements of a tin are shown.

(b ) Work out the volume of cat food that the tin contains.

Answers

Answer:

113 cm³

Step-by-step explanation:

The volume of the cat's food that the container would contain = volume of cylinder = πr²h

Where,

π = 3.14

r = ½(6) = 3 cm

h = 4 cm

Volume = 3.14 × 3² × 4

Volume = 3.14 × 9 × 4 = 113.097336

≈ 113 cm³

Find out the values of x and y from the following ordered pairs.
(x + y, 2) = (13, 2x – y)

Answers

Answer:

(x, y) = (5,8)

Step-by-step explanation:

Comparing the ordered pairs we get, x+y=13 and 2=2x-y. Solving it we will get, x=5 and y=8

Can you answer this math homework? Please!

Answers

Answer:

y + 2.3 = 0.45x

y = 0.45x - 2.3

-2y = 4.2x - 7.8

-2(0.45x - 2.3) = 4.2x - 7.8

-0.90x + 4.6 = 4.2x - 7.8

-0.90x - 4.2x = -7.8 - 4.6

-5.1x = - 12.4

x = -12.4 / -5.1

x = 2.4

y + 2.3 = 0.45x

y = 0.45(2.4) - 2.3

y = 1.08 - 2.3

y = -1.2

solution is : (2.4, - 1.2)

Step-by-step explanation:

The two lines intersect at answer A. (2.4, -1.2)

In elementary school, we learned about opposite operations such as addition and
subtraction, and multiplication and division. In both of these cases, one operation
"undoes" the other.
In this course, we'll begin to explore "opposite" function types. For example, think about a
quadratic function and its key features. What key features do you think its opposite
function will have? Why?
B
Ithi

Answers

Answer:

I would say the opposite function would either be a linear function, or have all the terms on one side multiplied by -1

The main features of the opposite function of the quadratic equation are; Reflection and Symmetrical

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are Given a quadratic function and its key features

To Determine: what key features its opposite function will have

The opposite function or inverse functions are reflections of each other over the straight line y = x.

We will find the inverse by switching x and y in the equation as;

f(x) = x² + 5

The inverse would be

x = √f(x) - 5

Once graph those two functions, that will see that they're symetrical that has y=x line by its middle line.

More about the Algebra link is given below.

brainly.com/question/953809

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{(2,1), (4,2) (6,3) (8,4)} is what type of relation?
a. many-to-many
b. one-to-many
c. many-to-one
d. one-to-one

Answers

The given relation {(2,1), (4,2) (6,3) (8,4)} is one to many relation.

The other solution for this problem is given below.

The pattern is the sum of the two numbers plus the previous sum, i.e.

12 = 2+5 +(5)

21 = 3+6+ (12)

40 = 8+11 +21

These type of questions are part of reasoning and comes in random competitive exams which have multiple choice questions and therefore you have more than you want.

First , you need to multiply both numbers and then add the first number.

Therefore, 1+4= 1x4+1=5

2+5=2×5+2=12

3+6=3×6+3=21

What is the many to one relation?

A many-to-one relationship is where one entity (typically a column or set of columns) contains values that refer to another entity (a column or set of columns) that has unique values.

Hence,8+11=8×11+8=96

The other solution for this problem is given below.

The Solution for this is

1+4=5

1(4+1)=1(5)=5

2+5=12

2(5+1)=2(6)=12

3+6=21

3(6+1)=3(7)=21

Therefore we get,

8+11=8(11+1)=8(12)=96.

Therefore the given relation is any one to many relation.

To learn more about the relation visit:

https://brainly.com/question/1579288

A telephone plan charges a regular monthly amount plus charges for the number of minutes of use (x) as shown in the equation y = 0.28x + 65. What are the slope and y-intercept? HELP

Answers

Answer:

Slope: 0.28

y-intercept: (0,65)

Answer:

slope: .28 y-int: 65

because y=mx+b m is slope and b is the y intercept

GIVE FULL STEP BY STEP OF THIS MATHS WORD PROBLEM
Sohanlal is a gardener. He is paid ₹160 daily, find how much money will he
get in the month of September?

Answers

Answer:

Step-by-step explanation:

days in september=30

salry paid per day=Rs.160

salary paid in 30 days=160×30=Rs.4800

Answer:

4800

Step-by-step explanation:

In the month of September there are only 30 days. So assuming Sohanlal works the entire month of September we will multiply how much he makes daily which is 160 times the amount of days he works which is 30. this will look like this:

160 × 30 = 4800

The product of two integers is – 729 one of them is 27 find the other.


please.......help......me......!!!​

Answers

Answer:

-27

Step-by-step explanation:

-729/27 = -27

hope it helps :)

please mark brainliest!!!

what is approximately unit price for 1 g of organic green seedless grapes if it costs 6.49 for 400g?​

Answers

Answer:

according to my equation it is 61.6

Can someone help me with this math homework please!

Answers

Answer:

-2,4.39,-32

Step-by-step explanation:

1. 0

2.4.39

3. -32

Here is your answer

Please help me answer this question.

Answers

Answer:

total candy = 54 bags

y=17

x=37

Step-by-step explanation:

5x + 4y = 253

x-y = 20

x = 20+y

5(20+y) + 4y = 253

100 + 9y = 253

9y = 153

y=17

x=37

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