Find the value of the expression below.
log5 2 + log5 10 - log5 4

Find The Value Of The Expression Below.log5 2 + Log5 10 - Log5 4

Answers

Answer 1

Answer:

A.   1

Step-by-step explanation:

To find the value of the expression, we will follow the steps below:

log₅2 + log₅10 -log₅4

From the rules of logarithm

logₐb + logₐc = logₐbc

similarly

logₐb - logₐc = logₐb/c

applying the two rules above to our expression will yield:

log₅2 + log₅10 -log₅4

=log₅(2 x 10) /4

=log₅20/4

=log₅5

also according to the rule of logarithm, logₐa=1

Therefore,

log₅5 =1

Therefore, the correct answer is 1


Related Questions

a+2=6 explain pkleaseeeeeeeeeeeeeeee

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

a = 4

▹ Step-by-Step Explanation

a + 2 = 6

Subtract 2 from both sides

2 - 2 = crossed out

6 - 2 = 4

Final Answer

a = 4

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

a=4

Step-by-step explanation:

If you are trying to find the value of a, it is simply 6-2. You can also check your answer by seeing if 4, the answer you found can be substituted into the equation while keeping the equation true. 4+2 does equal 6 so you know your right. Hope this helps!! :)

The negative reciprocal of -5/8 is: A. -5/8 B. 5/8 C. 8/5 D. -8/5

Answers

Answer:

+ 8/5

Step-by-step explanation:

Reciprocal is flip

Take the negative flip

- ( - 1 /(5/8))

+ 8/5

Answer:

8/5

Step-by-step explanation:

The reciprocal of a number is 1/that number.

So, the reciprocal of -5/8 is [tex]1/\frac{-5}{8}[/tex]= 1 times 8/-5

8/-5 is the reciprocal of -5/8.

However, we are looking for the negative reciprocal.

So, multiply the number by negative 1.

[tex]\frac{8}{-5} (\frac{-1}{1}[/tex]) = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex]

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Include a let statement in your answer.

Answers

Answer:

54

Step-by-step explanation:

Number of students travelled by bus = 331 - 7 = 324

Number of students in each bus = 324/6 = 54

Answer:

First thing you would do is subtract 7 from 331 and then you would be left with 324 and then you divide the 324 by 6 and a would end out with 54

Step-by-step explanation:

Please mark brainliest

Please help its eighth math!

Answers

Answer:

t and u are parallel lines

 s and t are also parallel lines

Step-by-step explanation:

If two parallel lines are cut by a transversal ,

then in it

pair of alternate angle are equals, similarly vice versa

if pair of alternate angle are equals then lines are parallel

pair of corresponding angles are equal and vice-versa

for example

in the given problem

if line t and u are parallel (note we have assumed this to give example of parallel lines)

then angle 7 and 9 are called alternate angles

pair of angles 5 and 9 are corresponding angles.

________________________________________________

given

∠8 = ∠10 which are alternate angles for line t and u and s is transversal for it,

thus t and u are parallel lines

___________________________

∠1 = ∠3 as they vertically opposite angles

and we know that pair of  vertically opposite angles are equal

given

∠1 = ∠7

thus

∠3 = ∠7

as pair of angles ∠3 and ∠7 are corresponding angles. and are equal and hence line  s and t are also parallel.

What is the value of s?

Answers

Answer:

s = 4

Step-by-step explanation:

x is a supplementary angle or 3d angle of the triangle.

(33s - 38) + x = 180 as supplementary angles.

(4s + 43 )+ 35 + x = 180 as angles of the triangle.

(33s - 38) + x = (4s + 43 )+ 35 +x

33s - 38  = 4s + 43 + 35

33s - 4s = 43 + 35 + 38

29s = 116

s = 4

Find (f•f)(3) f(x) = x^2 - x

Answers

A. 30 is correct answer

wuudxjwejd unm would iou hx

Answers

..................................

Answer:

PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Step-by-step explanation:

Can you guys plz help me fast !!!

Answers

Answer:

Option A : 200, 250, 300, 350, 400, 450

Add 50 to each weekly result

Option B : 200, 220, 242, 266.2, 292.82, 322.1

Mutiply the weekly result with 110/100

It’s A I’m sure of it

Gale buys 12 bags of mulch. Each bag contains two cubic feet of mulch. What part of a cubic yard are the 12 bags of mulch in total? Express your answer as a common fraction.

Answers

Answer:

8 cubic yards

Step-by-step explanation:

plz help
urgent !!!!
will give the brainliest !!​

Answers

Answer:

[tex]X = \begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex]

Step-by-step explanation:

The question we have at hand is, in other words,

[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}\left(X\right)=\begin{bmatrix}8&20\\ \:3&7\end{bmatrix}[/tex] - where we have to solve for the value of [tex]X[/tex]

If we have to isolate [tex]X[/tex] here, then we would have to take the inverse of the following matrix ...

[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}[/tex] ... so that it should be as follows ... [tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}^{-1}[/tex]

Therefore, we can conclude that the equation as to solve for " [tex]X[/tex] " will be the following,

[tex]X=\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] - First find the 2 x 2 matrix inverse of the first portion,

[tex]\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}[/tex] = [tex]\frac{1}{\det \begin{pmatrix}4&2\\ 1&1\end{pmatrix}}\begin{pmatrix}1&-2\\ -1&4\end{pmatrix}[/tex]= [tex]\frac{1}{2}\begin{bmatrix}1&-2\\ -1&4\end{bmatrix}[/tex] = [tex]\begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}[/tex]

At this point we have to multiply the rows of the first matrix by the rows of the second matrix,

[tex]X = \begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] ,

[tex]X = \begin{pmatrix}\frac{1}{2}\cdot \:8+\left(-1\right)\cdot \:3&\frac{1}{2}\cdot \:20+\left(-1\right)\cdot \:7\\ \left(-\frac{1}{2}\right)\cdot \:8+2\cdot \:3&\left(-\frac{1}{2}\right)\cdot \:20+2\cdot \:7\end{pmatrix}[/tex] - Simplifying this, we should get ...

[tex]\begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex] ... which is our solution.

Given the following function, find f(-5), f(0), and f(2).
f(x) = - 3x-5
f(-5) =

Answers

Answer:

10, -5, -11

Step-by-step explanation:

f(x) = - 3x-5

f(-5) = -3(-5) - 5 => 15 - 5 => 10

f(0) = -3(0) - 5 => 0 - 5 => -5

f(2) = -3(2) - 5 => -6 - 5 => -11

The value of the function at x = –5, 0, 2 will be 10, –5, and –11.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = –3x – 5

The value of the function at x = –5, 0, 2 will be

f(–5) = –3(–5) – 5

f(–5) = 15 – 5

f(–5) = 10

f(0) = –3(0) – 5

f(0) = 0 – 5

f(0) = –5

f(2) = –3(2) – 5

f(2) = –6 – 5

f(2) = –11

More about the function link is given below.

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Write a polynomial that is a trinomial, has the coefficients 3 and 4, the variable x,
and the constant 7​

Answers

Answer:

3x+4x+7

Step-by-step explanation:

First, a Trinomial consists of three terms.

so we have blank+blank+blank

Next we need to add the coefficients.

3+4+blank

Add the variables.

3x+4x+blank

And lastly, add the constant.

3x+4x+7

Good luck!

A trinomial that meets the given criteria is:

p(x) = 3*x^2 + 4*x + 7

How to get a trinomial?

A trinomial is a polynomial with 3 terms, we can write it as:

p(x) = A*x^n + B*x^k + C*x^m

Where n, k, and m, can be only natural numbers equal to or larger than zero, and A, B, and C are the coefficients.

First, we know that our trinomial has a constant 7, then one of the exponents must be 0, let's say that m = 0, then C = 7.

p(x) = A*x^n + B*x^k + 7

Now, we know that the other coefficients must be 3 and 4, so we can use:

A = 3B = 4

And there are no more restrictions, so we can use any values for n and k, I will use:

n = 2k = 1.

Then the trinomial becomes:

p(x) = 3*x^2 + 4*x + 7

If you want to learn more about polynomials, you can read:

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There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup. Based on this, about how many grains of sand would there be in a 5-gallon container (note: 1 gallon = 16 cups). Write the result in scientific notation.

Answers

Answer:

[tex]3.5725 * 10^5[/tex]

Step-by-step explanation:

Given

There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup.

Required

How many grains of sand would there be in a 5-gallon container?

Let x represent the number of grains in 5 gallon; So, From the question, we have that;

8 cups = 3.5725 * 10^4

5 gallon = x

Cross Multiply

x * 8 cups = 5 gallon * 3.5725 * 10^4

Recall that 1 gallon = 16 cups

[tex]x * 8\ cups = 5 * 16\ cups * 3.5725 * 10^4[/tex]

[tex]x * 8 = 5 * 16 * 3.5725 * 10^4[/tex]

Divide both sides by 8

[tex]\frac{x * 8}{8} = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]

[tex]x = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]

[tex]x = 5 * 2 * 3.5725 * 10^4[/tex]

[tex]x = 10 * 3.5725 * 10^4[/tex]

[tex]x = 3.5725 * 10^5[/tex]

Hence, the number of grains of sand in  5 gallon is [tex]3.5725 * 10^5[/tex]

How many ways can you distribute 4 different balls among 4 different boxes?

Answers

Answer:

16?? not sure.......

it can be 14 or it can be 256 (4 to the power of 4)

rewrite the polynomial in the form ax^2+bx+c and then identify the values of a, b, and c. 6+9x^2

Answers

Answer:

see below

Step-by-step explanation:

6+9x^2

Rewriting in decreasing powers of x

9x^2 +0x + 6

ax^2+bx+c

a = 9

b =0

c = 6

Simplify the expression so there is only one positive power for the base, -5. -5^7÷-5^2? A.1/5^9 B.-5^9 C.-5^5 D.1/5^5

Answers

Answer:

-5^7/-5^2=5^7/5^2= 5^(7-2)=5^5 this is the answer

Step-by-step explanation:

plz give me brainlist

Answer:

5^5

Step-by-step explanation:

Consider the system of equations given in slope-intercept form. y = −13x + 17, y = 5x - 23 The solution seems to be about (8, 14). Use the graphing calculator to find the exact values for the intersection point. What is the solution to this system of equations?

Answers

The exact values for the intersection point is (20/9, -107/9)

Given the system of equation expressed as;

y = −13x + 17;

y = 5x - 23

Since they are both y-values, we will equate both expressions to have:

-13x + 17 = 5x - 23

-13x - 5x = -23 - 17

-18x = -40

x = 40/18

x = 20/9

Substitute x = 20/9 into equation 2:

y = 5x - 23

y = 5(20/9) - 23

y = 100/9 - 23

y = -107/9

Hence the exact values for the intersection point is (20/9, -107/9)

Learn more on solution to equations here: https://brainly.com/question/13729904

Answer:

The answer is 7.5 and 14.5

( 7.5 , 14.5 )

Step-by-step explanation:

factor the expression 2x^2-5x-3

Answers

Answer:

(2x+1)(x-3) is the factorized form of the given expression

Step-by-step explanation:

=2x^2-5x-3

By using sum and product rule

=2x^2-6x+1x-3

By taking common

=2x(x-3)+1(x-3)

=(2x+1)(x-3)

I hope this will help you :)

Answer:

(x-3)(x+1/2)

_____________________________________

FOLIUS
Select the two binomials that are factors of 49x2 - 36.
I A. 7x + 6
B. 7x + 12
OC. 7x-6
D. 7x - 3

Answers

Answer:(7x - 6)(7x + 6)

Step-by-step explanation:

Answer:

answer is just C and

Step-by-step explanation:

What is 3/4 plus 1/8 plus 4/5 plus 17/125 as a decimal? Help! Thanks.

Answers

Answer:

1.811

Step-by-step explanation:

3/4 + 1/8 + 4/5 + 17/125=1811/1000 or 1 811/1000 = 1.811

Answer:

The answer is 1.811.

I really need help on this please.

Answers

Answer: 39

Step-by-step explanation:

Because the vertex of the angle is at the center of the circle, the arc would be equal to it. Hope this helped:)

Answer:

37°

Step-by-step explanation:

39 = 1/2(41 + DE)

78 = 41 + DE

37 = DE

Can you please say if the point is on the line?

Answers

I think the answer is is 5-10 because I use to do this before and all ways did it right.

FIRST GET AN BRAINLLEST !!!!! Solve the inequality below, then determine which number line shows the solution graphed correctly. 7x+9>−5

Answers

Answer:

Number Line B

Step-by-step explanation:

Let's simplify the inequality.

7x + 9 > -5

7x > -14

x > -2

The number line that represents this is B.

Number line B is the correct answer (I have already done it)

PLEASE HELP, Thank YOU

Answers

Answer:

5652ft²

Step-by-step explanation:

Surface area of a hemisphere is 2πr²

Where r is the radius

radius = diameter / 2

From the picture diameter = 60ft

Therefore

radius = 60/2 = 30ft

Surface area of the hemisphere is

2π(30)²

= 2(900)× 3.14

= 1800 × 3.14

= 5652ft²

Hope this helps you

Answer:

Your answer would be 5652ft squared

Step-by-step explanation:

Which solid has a greater volume?
O A. Figure A has a greater volume.
75
O B. Figure B has a greater volume.
O C. They are equal.
OD. It cannot be determined.
SUBME

Answers

Answer:

C. they are eqwal

Step-by-step explanation:

I took the APE_X quiz

The volume of cone and cylinder are same or equal, so they are equal is correct.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

There are two figures one is cone and other is Cylinder.

The volume of cone can be find by using πr²h/3

r=5, h=6

Volume = π(25)(6)/3

=50π

Now to find volume of cylinder.

h=50 and r=1

Volume =  πr²h

=50π

the volumes are same for both cylinder and cone.

Hence, the volume of cone and cylinder are same or equal, so they are equal is correct.

To learn more on Three dimensional figure click:

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Miranda has 5 shirts and 4 pairs of pants that she uses for her work clothes. How many different outfits can be assembled using 5 shirts and 4 pair of pants?

Answers

Answer:

20

Step-by-step explanation:

lets label each shirt as A, B, C, D, E and each pair of pants as a, b, c, d

combinations include:

Aa, Ab, Ac, Ad, Ba, Bb, Bc, Bd, Ca, Cb, Cc, Cd, Da, Db, Dc, Dd, Ea, Eb, Ec, Ed

however, it isn't necessary to write out all the combinations as you could just do 5*4=20.

Set of shirts {a,b,c,d,e}
Set of pants {1,2,3,4)

You can have 4 different pants for each shirt so

1a 2a 3a 4a repeat that 5x for each shirt to get 20 different combinations

Find the area of the circle to the nearest hundredth with r=4cm. d=18in.

Answers

Answer:

1.

r = 4 cm

A(circle) = π·r²

= π·(4cm)²

= 3.14·16cm²

= 50.24 cm²

2.

d = 18 in

d = 2r => r = d/2 = 18in/2 = 9 in

A(circle) = π·r²

= 3.14·(9in)²

= 3.14·81in²

= 254.34 in²

Meg found one treasure at − 3 4 foot. Which of these location are higher than − 3 4 foot? Check all that apply. Negative StartFraction 7 Over 8 EndFraction foot Negative one-fourth foot –1 foot –2 feet Negative StartFraction 5 Over 8 EndFraction foot. If You Help ME and GET it CORRECT u will give u brainiest

Answers

Answer:

[tex]\frac{-1}{4}[/tex]and [tex]\frac{-5}{8}[/tex] are the locations higher than [tex]\frac{-3}{4}[/tex] foot

Step-by-step explanation:

We are given that Meg found one treasure at [tex]\frac{-3}{4}[/tex]foot

We are supposed to find Which of these location are higher than [tex]\frac{-3}{4}[/tex]foot?

i) [tex]-\frac{7}{8}[/tex]

So, this location is not  higher than [tex]\frac{-3}{4}[/tex]foot

ii)[tex]-\frac{1}{4}[/tex]

So, [tex]-\frac{1}{4}>\frac{-3}{4}[/tex]

So, this location is higher than[tex]\frac{-3}{4}[/tex] foot

iii) - 1 foot

[tex]-1 < \frac{-3}{4}[/tex]

So,this location is not  higher than[tex]\frac{-3}{4}[/tex]foot

iv)-2 feet

So,this location is not  higher than[tex]\frac{-3}{4}[/tex]foot

v)[tex]\frac{-5}{8}[/tex]

So, this location is higher than [tex]\frac{-3}{4}[/tex]foot

Answer: B, E

Step-by-step explanation:

The guy above is right but just to make it more easy

7) Which author's point of view is MOST SUPPORTED in the passage?
A)
The author respects and admires qualities in the
queen.
Eliminate
B)
The author is deeply saddened by the death of the
queen.
Te
The author is heavily critical of the queen's ignorant
politics
D)
The author feels the trip to Ireland contributed to 'her
worsening condition​

Answers

Answer:

I think A is the MOST supported of all of the options.  The author spends the majority of the writing remarking and complimenting the Queen's strength and desire to be concerned with the people of her land.

A) The author respects and admires qualities in the queen.

Step-by-step explanation:

HOPE THIS HELPED!!  :)

Suppose that a line segment is translated. Which of the following is true?
The line segment's position and length change.
The line segment's position changes, but its length remains the same.
The line segment's slope changes, but its length remains the same.
The line segment's length and position remain the same.

Answers

Answer:

The line segment's position changes, but its length remains the same.

Step-by-step explanation:

When a line segment is translated, it only will move its position up, down, or to the side.

The slope and length will stay the same, but the position will change.

So, this answer is correct because the position changes but not the length.

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