Condense log 2 4 + log 2 5

Answers

Answer 1

Answer:

[tex]log_{2}[/tex] 20

Step-by-step explanation:

using the rule of logarithms

loga + logb = logab

then

[tex]log_{2}[/tex]4 + [tex]log_{2}[/tex]5

= [tex]log_{2}[/tex] (4 × 5)

= [tex]log_{2}[/tex]20

Answer 2
Log 2 4 + log 2 5= log 2 4x5= log 2 20
This exercises the log rule log a + log b= log ab

Related Questions

I’LL GIVE YOU BRAINLIEST IF YOU ANSWER

Simplify the expression shown

-3√6-3√20-√6

And also please show work and explain how you got the answer!!!


Answers

Answer:

-4√6-6√5

Step-by-step explanation:

-3√6-3√20-√6 = (-3√6-√6)-3√20 = -4√6-3√20

√20 = √4*√5 or 2√5

substitute that in and you get -4√6-3(2√5) which then becomes

-4√6-6√5

Here is my worked out solution to your answer. Hope this helps!

jjjjjjjjjjjjjjjjjjjhhhhhhhhhhhhhhhhbvvvvvvvvvvvvvvvvvvvvv

Answers

Answer:

Thanks for the point!

Step-by-step explanation:

Have a great day

what’s a non example of a slope

Answers

Answer:

a leveled line or a straight line

HELP ME PLEASEEEE!!!!ORDER THESE BY VALUE FROM LEAST TO GREATEST!!!

Answers

Answer: 5,15,20,25,45

Step-by-step explanation:

1st is 20, 2nd is 25, 3rd is 15, 4th is 45, 5th is 5

Solve the linear equation.
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
A. j = -0.45
B. j = -0.25
C. j = 0.25
D. j = 0.45

Answers

A. The end equation is -10j=4.5 so you would need a negative answer to make the negative ten a positive and matching 4.5

Answer:

Solve the linear equation [tex]2.25 - 11 - 7.75 + 1.5j= 0.5j - 1[/tex]

[tex]j[/tex] = –0.45

[tex]j[/tex]  = –0.25

[tex]j[/tex] = 0.25

[tex]j[/tex] = 0.45

Simplify [tex]2.25 - 11j - 7.75 + 1.5j[/tex] .

Subtract [tex]7.75[/tex] from [tex]2.25[/tex] .

[tex]- 11j - 5.5 + 1.5j = 0.5j -1[/tex]

Add [tex]-11j[/tex] and [tex]1.5j[/tex] .

[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]

Move all terms containing [tex]j[/tex] to the left side of the equation.

Subtract [tex]0.5j[/tex] from both sides of the equation.

[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]

Subtract [tex]0.5j[/tex] from [tex]- 9.5j[/tex].

[tex]- 10j - 5.5 = - 1[/tex]

Move all terms not containing [tex]j[/tex] to the right side of the equation.

Add [tex]5.5[/tex] to both sides of the equation.

[tex]-10j = -1 +5.5[/tex]

Add [tex]-1[/tex] and [tex]5.5[/tex] .

[tex]10j=4.5[/tex]

Divide each term in [tex]-10[/tex][tex]j[/tex] [tex]=4.5[/tex] by [tex]-10[/tex] and simplify.

Divide each term in [tex]-10j = 4.5[/tex] by [tex]-10[/tex].

[tex]\frac{-10j}{-10} = \frac{4.5}{-10}[/tex]

Simplify the left side.

Cancel the common factor of [tex]-10[/tex].

[tex]j= \frac{4.5}{-10}[/tex]

Cancel the common factor.

[tex]\frac{-10j }{-10} = \frac{4.5}{-10}[/tex]

Divide [tex]j[/tex] by [tex]1[/tex]

[tex]j=\frac{4.5}{-10}[/tex]

Simplify the right side.

Divide [tex]4.5[/tex] by [tex]-10[/tex].

[tex]j=-4.5[/tex]

The Final Answer is

[tex]j=-4.5[/tex]

Which whole numbers does the square root of 104 falls in between?

Answers

Answer:

10 and 11

Step-by-step explanation:

The square root of 104 is 10.1980390272. This falls between the whole numbers 10 and 11.

How many 7/9 cups servings are in 2/9 cups of juice?!?

Answers

Answer:

3

Step-by-step explanation:

I'm going to assume you meant "How many 2/9 cup serving are in 7/9 cup of juice" (since there are no 7/9 cups of serving in 2/9 cups of juice, since 7/9>2/9, and you can't have a serving of something greater than the amount you have).

In this case:

7/9 divided by 2/9=3

Since 7/9 and 2/9 have the same denominater, you can cross them off, since when you divide them, 9 divided by 9=1. 7 divided by 2=3.5, but I'll assume you want full cups.

10.04 × 8.8= ?

can you help me again please​

Answers

Answer:

10.04 × 8.8 =?, ? = 88.352 :)

Answer:

88.352

Step-by-step explanation:

10.04

x. 8.8

=88.352

How would the average rate of change over years 1 to 5 and years 6 to 10 be affected if the population increased at a rate of 8%?

Answers

Answer:

(A): As year increases the number of pikas reduces.

(B): As year increases the number of pikas increases as opposed to when the rate reduces.

Step-by-step explanation:

See comment for complete question

Given

[tex]a = 144[/tex] --- Initial Population

[tex]r = 8\%[/tex] --- rate

(A) WHEN THE RATE DECREASES

First, we need to write out the function when the population decreases.

This is given as:

[tex]f(x) = a(1-r)^x[/tex]

Substitute values for a and r

[tex]f(x) = 144(1-8\%)^x[/tex]

Convert % to decimal

[tex]f(x) = 144(1-0.08)^x[/tex]

[tex]f(x) = 144(0.92)^x[/tex]

Next, we calculate the average rate of change for both intervals using:

[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]

For 1 to 5:

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

[tex]Rate = \frac{f(5) - f(1)}{4}[/tex]

Calculate f(5) and f(1)

[tex]f(x) = 144(0.92)^x[/tex]

[tex]f(1) = 144*0.92^1 =144*0.92=132.48[/tex]

[tex]f(5) = 144*0.92^5 =144*0.66=95.04[/tex]

[tex]Rate = \frac{95.04 - 132.48 }{4}[/tex]

[tex]Rate = \frac{-37.44}{4}[/tex]

[tex]Rate = -9.36[/tex]

For 6 to 10:

[tex]Rate = \frac{f(10) - f(6)}{10-6}[/tex]

[tex]Rate = \frac{f(10) - f(6)}{4}[/tex]

Calculate f(6) and f(10)

[tex]f(x) = 144(0.92)^x[/tex]

[tex]f(6) = 144*0.92^6 =144*0.61=87.84[/tex]

[tex]f(10) = 144*0.92^{10} =144*0.43=61.92[/tex]

[tex]Rate = \frac{61.92-87.84}{4}[/tex]

[tex]Rate = \frac{-25.92}{4}[/tex]

[tex]Rate = -6.48[/tex]

So, we have:

[tex]Rate = -9.36[/tex] for year 1 to 5

This means that the number of pikas reduces by 9.36 yearly

[tex]Rate = -6.48[/tex] for year 6 to 10

This means that the number of pikas reduces by 6.48 yearly

So, we can say that, as year increases the number of pikas reduces.

(B) WHEN THE RATE INCREASES

First, we need to write out the function when the population decreases.

This is given as:

[tex]f(x) = a(1-r)^x[/tex]

Substitute values for a and r

[tex]f(x) = 144(1+8\%)^x[/tex]

Convert % to decimal

[tex]f(x) = 144(1+0.08)^x[/tex]

[tex]f(x) = 144(1.08)^x[/tex]

Next, we calculate the average rate of change for both intervals using:

[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]

For 1 to 5:

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

[tex]Rate = \frac{f(5) - f(1)}{4}[/tex]

Calculate f(5) and f(1)

[tex]f(x) = 144(1.08)^x[/tex]

[tex]f(1) = 144(1.08)^1 = 144*1.08= 155.52[/tex]

[tex]f(5) = 144(1.08)^5 = 144*1.47= 211.68[/tex]

[tex]Rate = \frac{211.68 - 155.52}{4}[/tex]

[tex]Rate = \frac{56.16}{4}[/tex]

[tex]Rate = 14.04[/tex]

For 6 to 10:

[tex]Rate = \frac{f(10) - f(6)}{10-6}[/tex]

[tex]Rate = \frac{f(10) - f(6)}{4}[/tex]

Calculate f(6) and f(10)

[tex]f(x) = 144(1.08)^x[/tex]

[tex]f(6) = 144(1.08)^6 = 228.52[/tex]

[tex]f(10) = 144(1.08)^{10} = 310.89[/tex]

[tex]Rate = \frac{310.89-228.52}{4}[/tex]

[tex]Rate = \frac{82.37}{4}[/tex]

[tex]Rate = 20.59[/tex]

So, we have:

[tex]Rate = 14.04[/tex] for year 1 to 5

This means that the number of pikas increases by 14.04 yearly

[tex]Rate = 20.59[/tex] for year 6 to 10

This means that the number of pikas increases by 20.59 yearly

So, we can say that, as year increases the number of pikas increases as opposed to when the rate reduces.

The sum of five consecutive integers is 0. Find the integers. Show your solution.
Does anyone know the answer? ​

Answers

Answer:

-2, -1, 0, 1, 2.

Solution

Let x be the middle term of this sequence of 5 terms.

Then the sequence is x-2, x-1, x, x+1, x+2.

The sum of the terms is (x-2) + (x-1) + x + (x+1) + (x+2) = 5x.

Thus 5x = 0.

It gives x = 0.

So the sequence is -2, -1, 0, 1, 2.

HELP MEEEE I NEED AN ANSWER ​

Answers

I believe b and c don’t have a solution

Consider a right triangle ABC where ZC is
the right angle. If sin A = 3/5 and cos A =4/5,
what is cos B?

Answers

Answer:

3/5

Step-by-step explanation:

what is the answer to this 10x - 25 + 8

Answers

[tex]10x-25+8[/tex]

Simplify:

[tex]10x+-25+8[/tex]

Combine Like Terms:

[tex](10x)+(-25+8)\\10x+-17(ANSWER)[/tex]

Microsoft Rewards

Earn Gift Cards using Microsoft Rewards by searching daily and completing daily tasks.

Create an expression that is equivalent to 9(3x + 5 + x) without using
parentheses.

Answers

Answer:

27x + 45 + 9x

37x + 45

it's here

if an angle is three times of its supplement, find the angle​

Answers

Answer:

135° angle

Let the angle be x it's supplement = (180-x)

x = 3 (180-x)

⇒x=540−3x

⇒4x=540⇒x=135°

Step-by-step explanation:

Hope it is helpful....

solve the equation for x in simplest form
2 / 3x = 1/6
A x= 1/4
B x= 3/5
C x=1/2
D= x=4/5

Answers

Answer:

A x=1/4

Step-by-step explanation:

2/3x = 1/6

Divide by 2/3

so 1/6 ÷ 2/3

= 1/6 • 3/2

= 3/12

= 1/4

I am in need of help

Answers

Answer:

I would say the answer is D because the figure is rotated 180 degrees. Letters C and D are pretty much the same just with some differences, but I would say D. Let me know if it's wrong :)

Step-by-step explanation:

Lines a and b are horizontal and parallel to each other. Line a contains points L and M and line b contains points O and N. Line c is diagonal and intersects line a at point X and line b and point Z. It also contains points H and G. Line d is diagonal and intersects line a at point X and line b at point Y. It also contains points J and K. Triangle X Y Z is created by the lines. Which represents an exterior angle of triangle XYZ? ∠LXZ ∠JXM ∠JXZ ∠HXJ

Answers

Answer:

The exterior angle of triangle XYZ is;

∠JXM

Step-by-step explanation:

The question is a word problem with the given parameters;

The points on line 'a' = L and M

The points on line 'b' = O and N

The point line 'c' intersect line 'a' = X

The point line 'c' intersect line 'b' = Z

The points on line 'c' = H and G

The point line 'd' intersect line 'a' = X

The point line 'd' intersect line 'b' = Y

The points on line 'd' = J and K

From the drawing of triangle XYZ created with Microsoft Visio, the exterior angle is ∠JXM

Answer:

Step-by-step explanation:

the answer is JXZ

The wrestling team wants to sell pies for a fundraiser. The cafeteria helped out by donating 2 pies. Each pie will be cut into 4 pieces. If the team wants to sell at least 32 pieces, how many pies must the wrestling team bake?
50 pts if they can pout how they solved it and the answer in an inequality form

Answers

Answer:

answer is

Step-by-step explanation:

2+4=6

and 6-32=26 answer

Graph the following Line:
6x+3y=6

Answers

Answer:

Visit geogebra.com

Step-by-step explanation:

none needed <3

use y=mx +b=slope

this will help you get your answer

The length of a rectangle is three more than twice it’s width. the area of the rectangle is 189 in^2

What is the width
What is the length

Answers

Answer:

Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.

So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.

Hope this helps:)

i dont get this pls help with steps asap!

Answers

Answer:

2.5

Step-by-step explanation:

it's the midpoint of XZ

2.5 is the correct answer

What is the value of x? ​

Answers

If you use the Pythagorean Theorem you would get 11.662.

Harry Potter has a potion that can change voracious vampires into harmless hobbits. But the chemical evaporates over time and when the concentration in the potion is too weak, it turns the vampires into destructive Demogorgons. Oh no! The half-life of the potion means the amount of time it takes for the potion to lose half of its existing power, measured in magical units. This potion has a half-life of 2 months. Which statement about the potion's strength is correct? * a. Of the original 160 magical units, 5 magical units are left after 10 months of mixing the potion. b. Of the original 160 magical units, 16 magical units are left after 10 months of mixing the potion. c. Of the original 160 magical units, less than 1 magical unit is left after 10 months of mixing the potion. d. Of the original 160 magical units, 20 magical units are left after 10 months of mixing the potion e. Of the original 160 magical units, 80 magical units are left after 10 months of mixing the potion.

Answers

Answer:

im going to say c

Step-by-step explanation:

if its has 160 units and goes to half-life after 2 months im assuming it loses 1/2 of the units so in order for it to lose that many it will have to lose 40 units a month so i say its c after 10 months there will be less than 1 unit in the potion

hope this helps im sorry if im wrong have a blessed day :)

3 = 2 + n/4(that's supposed to be a fraction)someone help solve solve for n​

Answers

Answer:

n = 4

Step-by-step explanation:

3 = 2 + n/4

1 = n/4

4 = n

Answer:

n = 4

Step-by-step explanation:

take the 2 and subtract it from itself then you gotta do it to the other side so it be 3 -2 and you get 1 then you multiply 4 to n/4 and it crosses it out and what you do to one side you do to the other so you multiply 4 by 1 & get 4

What is the difference of the fractions ? PLZ HELP ONLY HAVE 7 MINS​

Answers

[tex] - 2 \frac{1}{2} - ( - 1 \frac{3}{4} )[/tex]

[tex] - \frac{5}{2} - ( - \frac{7}{4} )[/tex]

[tex] - \frac{10}{4} - ( - \frac{7}{4} )[/tex]

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

Triangle A C B is a right triangle. Angle C A B is 90 degrees, angle A B C is (4 x) degrees, and angle A C B is (7 x minus 20) degrees. What is the m∠ACB? 10° 50° 90° 180°

Answers

Answer:

50°

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees

Hence given that in a triangle ACB with angles 90°, 4x°, 7x - 20

As such

90 + 4x + 7x -20 = 180

simplify

11x + 70 = 180

11x = 180 - 70

11x = 110

Divide both sides by 11

x = 110/11

x = 10

m∠ACB is 7x - 20

Substitute the value of x into the expression

= 7(10) - 20

= 70 - 20

= 50

Answer:

The answer is 50 degrees

Step-by-step explanation:

-9 = 4n - 1
PLS PLS HELP I can't think my brain isn't there anymore.

Answers

Answer:

-2

Step-by-step explanation:

-9=4n-1

4n=-9+1

4n=-8

n=-8/4

n=-2

Answer:

x= -2

Step-by-step explanation:

you add 1 to both sides

-9+1=4n-1+1

which gives you

-8=4n

and then divide both sides by 4

-2=n

E = MV^2 ÷ 2 + mgh, If M=20, h=15, E=4900, g=9.8. Find V​

Answers

Answer:

V = 14 m/s

Step-by-step explanation:

[tex]E = MV^2 ÷ 2 + mgh \\ \\ 4900 = 20V^2 ÷ 2 + 20 \times 9.8 \times 15 \\ \\ 4900 = 10V^2 + 2,940\\ \\ 4900 - 2940 = 10V^2 \\ \\ 1960 = 10V^2 \\ \\ V^2 = \frac{1960}{10} \\ \\ V^2 = 196 \\ \\ V = \sqrt{196} \\ \\ V = 14 \: m {s}^{ - 1} [/tex]

can someone help solve/understand this?? plzzzz

Answers

Answer:

[tex]y = 4(0.5) {}^{x} [/tex]

Step-by-step explanation:

By looking at your graph, The y intercept is (0,4).

This is an exponential function so it is represented by

[tex]y = ab {}^{x} [/tex]

where a is the vertical stretched and b is the constant rate and x is the nth power.

let plug in 0,4

[tex]4 = ab {}^{0} [/tex]

[tex]b {}^{0} = 1[/tex]

since anything to the 0 power is 1.

[tex]4 = a \times 1[/tex]

[tex]4 = a[/tex]

Know let plug it in to this equation.

[tex]y = 4b {}^{x} [/tex]

Let use 2,1 another point on the graph

[tex]1 = 4b {}^{2} [/tex]

Divide 4 by both sides

[tex]0.25 = {b}^{2} [/tex]

take sqr root of 0.25

[tex]0.5 = b[/tex]

So

the answer is

[tex]y = 4(0.5) {}^{x} [/tex]

Other Questions
according to Mrs. hale why was it that minnie "kept to herself" ( Jury of Her Peers) how many nanometers are there in one gram?For example enter 105 as 1x105 What are the 3 types of conflict in psychology? What are Mendel's 7 traits? 100 Points!February 16, 1835My Children:I am sorry to have heard that you have been listening to bad counsel. You know me, and you know that I would not deceive, nor advise you to do anything that was unjust or injurious. Open your ears and attend to what I shall now say to you. They are the words of a friend, and the words of truth.The white people are settling around you. The game has disappeared from your country. Your people are poor and hungry. All this you have perceived for some time.My Children, I have never deceived, nor will I ever deceive any of the red people. I tell you that you must go, and that you will go. Even if you had a right to stay, how could you live where you are now? You have sold all your country. You have not a piece as large as a blanket to sit down upon. What is to support yourselves, your women, and children? The tract you have ceded will soon be surveyed and sold, and immediately afterwards will be occupied by a white population. You will soon be in a state of starvation. You will commit depredations upon the property of our citizens. You will be resisted, punished, perhaps killed. Now is it not better peaceably to remove to a fine, fertile country, occupied by your own kindred, and where game is yet abundant? The annuities payable to you, and the other stipulations made in your favor, will make your situation comfortable, and will enable you to increase and improve. If, therefore, you had a right to stay where you now are, still every true friend would advise you to remove. But you have no right to stay, and you must go You shall be comfortably taken care of, and kindly treated on the road, and when you arrive in your new country, provisions will be issued to you for a year, so that you can have ample time to provide for your future support.But lest some of your rash young men should forcibly oppose your arrangements for removal, I have ordered a large military force to be sent among you If you listen to the voice of friendship and truth, you will go quietly and voluntarily. But should you listen to the bad birds that are always flying about you, and refuse to move, I have then directed the commanding officer to remove you by force. This will be done. I pray the Great Spirit, therefore, to incline you to do what is right.Your FriendA. Jackson1.In what ways was he not telling the Seminole the truth? Explain why the statements are untrue.2.How was the Seminole experience during Indian removal similar to and different from that of other Native American groups? What is the value of the function y=2x-3 when x = 1?0-50 -1O2O 3 Which statement accurately identifies the order of tissues pictured from left to right in the microscopic image? Epithelial cells, smooth muscle, connective tissues Epithelial cells, connective tissues, smooth muscle Connective tissues, smooth muscle, elastic fibers Connective tissues, elastin fibers, smooth muscle Use properties to evaluate (+)(-10).OA. 2OB. -2C. 5OD. -5 Hi i would like some help 3-less than or equal to -5x graph in slope intercept form question #9 4Which of these best completes the sentence below? midnight, ______ the sky will have come alive with beautiful moonlight.O A. OnB.BetweenOC. AmongOD. ByResetNext Which equation represent the rule Evaluate the expression when n=-3. n^2-9n-6 Marianne really likes coffee, but on summer days she doesn't wantto drink a hot beverage.If she is served 230 { mL} of coffee at 84^\circ {\rm{C}} in a well-insulatedcontainer, how much ice at 0 ^\circ {\rm{C}} should she add toobtain a final temperature of 38^\circ {\rm{C}}? What are some examples of parallelism in the I Have a Dream Speech? Why do scientists use sampling What are the 5 elements of narrative writing? in the middle of the night essay What muscles do you control the movement? Please show workingWhen Corey buys a bottle ofwater alone he spends $80.00.When he buys a bottle of waterand 2 packs of peanut, hespends $200.00.How much would it cost to purchase 4 bottles of water andfour packs of peanut?