What is the logarithmic formula 10000= 625/8*2^t ?

Answers

Answer 1

9514 1404 393

Answer:

     log(128) = t·log(2)

Step-by-step explanation:

You can take logarithms the way the formula is, or you can simplify it first.

As is

  log(10000) = log(625) -log(8) +t·log(2)

__

Simplified

  8·10000/625 = 2^t . . . . . multiply by 8/625

  128 = 2^t

  log(128) = t·log(2)

_____

Solution:

  t = log(128)/log(2) = 7


Related Questions

some friends played a board game. during the game, one unlucky player had to move back 7 spaces 5 turns in a row

Answers

Answer:

35

Step-by-step explanation:

If l || m, find the value of y.

Answers

Answer: y = 50

Step-by-step explanation:

Supplement angles are two angles that sums up to 180°. So we could interfere that (8x - 14)° and (5y + 16)° are supplement angles. But before we move on, we should first solve for x. Opposite angles are equal. So therefore the angle opposite to 8x - 14 is also equal to 8x - 14. Guess what? Corresponding angles are also considered equal. So we could then conclude as following:

5x + 34 = 8x - 14

With the equation above we can now solve for x. We first add 14 on both sides.

5x + 48 = 8x

We then substract 5x on both sides.

48 = 3x

We finally divide 3 on both sides. This gives us the value of x.

x = 16

Now that we know the value of x, we could now solve (8x - 14)°. We first start by substituting in the equation.

8(16) - 14

We then multiply 8 with 16.

128 - 14

We finally substract 14 from 128. This gives now the value of the angle

114°

Now that we know this, we could now solve for y. Like I said earlier, supplement angles add up to 180°. So our equation should go as following:

114 + (5y + 16) = 180

We first add like terms together.

5y + 130 = 180

We then substract 130 on both sides

5y = 50

We finally divide 5 on both sides of the equation.

y = 50

30m of material costs £210.how much would 18 m of this material cost?

Answers

Step-by-step explanation:

given,

30m of material cost = £210

so, cost of 1m material = 210/30 = £7

therefore, cost of 1m material is £7

now,

cost of 18m Material = 18 × 7 = 126

therefore, cost of 18m material is £126.

hope this answer helps you dear!

Answer: 126

Step-by-step explanation:

30 m of material cost 210

1 m of material cost [tex]\frac{210}{30}[/tex] Or 7

18 m of material cost 7 × 18 = 126

please give me a brainliest answer

The points H, I, J and K all lie on the same line segment, in that order, such that the
ratio of HI: IJ: JK is equal to 2:1: 2. If HK = 25, find JK.

Answers

Step-by-step explanation:

Given,

ratio of HI, IJ , Jk = 2 : 1 : 2

let their value be

HI = 2x

IJ = x

JK = 2x

HK = 25

according to question,

HI + IJ + JK = Hk

now, after inserting the values we got,

2x + x + 2x = 25

5x = 25

x = 25/5 = 5

x = 5

therefore value of,

HI = 2x 2×5 = 10

IJ = x 5

JK = 2x 2×5 = 10

Hence, value of JK is 10.

hope this answers helps you dear...take care and may u have a great day ahead!

Complete the table.

x 0 3
y=13x+2

Answers

Answer:

41

Step-by-step explanation:

If x equals 3:

13x3 is 39

39+2 is 41

A barber charges \$12$12dollar sign, 12 for a haircut. His operating expenses are, on average, \$37$37dollar sign, 37 per day. He calculates his profit by subtracting his operating costs from the money he earns from the haircuts he gives. In a given day, the barber expects to make a profit of at least \$86$86dollar sign, 86. If the barber gives hhh haircuts in a day, which inequality best models this situation

Answers

Answer:

12h-37 >/ 86

Step-by-step explanation:

so basically the barber wants to make  a profit  of 86 dollars since profit is total revenue minus expenses then we know that the barber total revenue is 12h and the expenses for the day are 37.

What is the equation of the line that passes through the point (-8,0) and has a slope of - 1/4

Answers

Answer:

y = -1/4 -2

Step-by-step explanation:

Identify the unit rate in each graph. Then, order the graphs by unit rate, from least to greatest.

Answers

Answer:

God

Step-by-step explanation:

Because I need points

Please help!!! ASAP!!

Answers

Step-by-step explanation:

the total length of all lines is 100.

there are 2 times a d line, and 5 times an x line.

well, what we have here is an equation :

2d + 5x = 100

2d = 100 - 5x = 5×(20 - x)

d = 5/2 × (20 - x) = 50 - 5x/2

take whatever form fits best to what your teacher does in class.

Would appreciate the help ! ​

Answers

This is one pathway to prove the identity.

Part 1

[tex]\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{1}{\tan(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\cot(\theta) = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{\cos(\theta)}{\sin(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)*\sin(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)(1-\cos(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\[/tex]

Part 2

[tex]\frac{\sin^2(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)-\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-(\cos(\theta)-\cos^2(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-\cos(\theta)+\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\[/tex]

Part 3

[tex]\frac{\sin^2(\theta)+\cos^2(\theta)-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1}{\sin(\theta)} = \frac{1}{\sin(\theta)} \ \ {\checkmark}\\\\[/tex]

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.

We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity [tex]\sin^2(\theta)+\cos^2(\theta) = 1[/tex] in the second to last step. I broke the steps into three parts to hopefully make it more manageable.

I need help please and thank you​

Answers

Answer:

hey how to ask questions with pictures in brainly?

here are the answers:
1) b
2) d

[tex]\sf 4\left(x+2\right)-2x=0[/tex]

Answers

Answer:

x = -4

Step-by-step explanation:

Step 1: Apply distributive property.

[tex](4)(x)+(4)(2)-2x=0[/tex] [tex]4x + 8 - 2x = 0[/tex]

Step 2: Combine like terms.

[tex](4x-2x)+(8)=0[/tex] [tex]2x + 8 = 0[/tex]

Step 3: Subtract 8 from both sides.

[tex]2x + 8 - 8 = 0 - 8[/tex] [tex]2x = -8[/tex]

Step 4: Divide both sides by 2.

[tex]\frac{2x}{2} = \frac{-8}{2}[/tex] [tex]x = -4[/tex]

Step 5: Check if solution is correct.

[tex]4(-4+2)-2(-4)=0[/tex] [tex](4)(-4)+(4)(2)+8=0[/tex] [tex]-16 + 8 + 8 = 0[/tex] [tex]-8 + 8 = 0[/tex] [tex]0 = 0[/tex]

Therefore, x = -4.

Jade wants to buy a sweater the cost of the sweaters $50.50 she only has 2/5 of the money needed to buy the sweater how much money does jade have?

Answers

Answer:

20.2

Step-by-step explanation:

1/5 of 50.50 = 10.1

2/5 of 50.50 = 20.2

me ayudan por favor​

Answers

Answer:

1) 5.091

2) 54.6731

3) 2.954

4) 0.17278

5) 68.031

help me guys and it will be better if you also write the explaination

Answers

Answer:

Please see below.

Step-by-step explanation:

f^-1 (x) essentially means the reverse.

We can substitute y for x in the equation and solve for y:

x = 4y -1

x+1 = 4y

y = (x+1)/4

so that is our answer for the first one:

f^-1(x) = (x+1)/4

We do the same trick for the second question:

x = 2y +1

x-1 = 2y

y = (x-1)/2

so the answer is f^-1(x) = (x+1)/2

The last question is slightly more complex, we can write is as:

x = 2y/(y-1)

x(y-1) = 2y

yx -x = 2y

yx = 2y + x

yx - 2y = x

y(x-2) = x

y = x/(x-2)

so the answer is x/(x-2)

You can check out my fiverr account for more help; providing detailed explanations to math questions for only $1per question :)

fiverr name: kesja_

How many times longer does it take light from the Sun to reach Neptune than Mercury? Express this number in standard notation. Explain your reasoning

Answers

Answer:

Step-by-step explanation:

The ratio of light times will be the ratio of distances:

 (light time to Neptune) / (light time to Mercury)

    = (Neptune distance)/(Mercury distance)

    = (27.93×10^8 mi)/(0.3598×10^8 mi) = 27.93/0.3598

    ≈ 77.6

Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 5)(x + 3)(x - 2)2

Answers

Answer:

if you learned derivative:

f'x=(x+3)(x-2)²+(x+5)(x-2)²+2(x+5)(x+3)(x-2)

  =4x³+12x²-26x-28=0

⇒x=2; =-0.84; =-4.16

⇒fx=0; =72.47; -36.97⇒fx contain (2;0); (-0.84;72.47); (-4.16;-36.97)

if x=0⇒f'x=-28<0⇒from -0.84 to 2, fx Decreasing

Step-by-step explanation:

HELP!!!!!!!!!
Question 21-22

Answers

21.    x-18x      1 - 18, thats how many x's u have

22. 40 + 10x   divide 10 on both sides, x=_

the mass of a sphere made of gold is proportional to the diameter, d, cubed. express the mass m of the sphere as a function of the diameter. use c as your proportionality constant.

Answers

Answer:

m         =   cd³

Step-by-step explanation:

mass of        is proportional to          the diam

sphere                                                 cubed

Symbolically, this can be written as:

  m         =   cd³

The area of the parallelogram is 24 square miles find its base and height?

Answers

Answer:

Base-3 mi

Height-8 mi

Step-by-step explanation:

The area of a parallelogram is base*height.

Base*height=24

Now we just need to number that multiply to get 24. Those numbers can be 3 and 8 because 3*8=24.

The dimension of the parallelogram are 1 x 24, 2 x 12, 4 x 6, 8 x 3, and 24 x 1.

What is the area of the parallelogram?

The opposite sides of the parallelogram are parallel and congruent. Let H be the height and W be the width of the parallelogram.

Then the area of the parallelogram will be

Area of the parallelogram = H × W square units

The area of the parallelogram is 24 square miles.

Then the dimension of the parallelogram is given as,

Area = 24

Area = 2 x 2 x 2 x 3

Area = 1 x 24, 2 x 12, 4 x 6, 8 x 3, 24, 1

The dimension of the parallelogram are 1 x 24, 2 x 12, 4 x 6, 8 x 3, and 24 x 1.

More about the area of the parallelogram link is given below.

https://brainly.com/question/16052466

#SPJ5

The mass of a pail is 2490 g when it is 1/4 filled with sand. It has a mass of 9240 g when it is fully filled with sand. Find the mass of the pail when it is empty.

Answers

2490g x 4 = 9960g
9960-9240=720g
Ty answer is 720g
Please mark brainelist

what slope intercept equation of the following line?

Answers

Well I’m not sure if my answer is correct

Answer: y=2x+7

Step-by-step explanation:

The og equation to get to the equation is y=mx+b. M=slope & B=y intercept

Lets first pick 2 points to find the slope (the formula is y2-y1/x2-x1). After using the formal, I got my slope as 2. Now I could say y=2x+b. Now to find the y intercept, the x point should be 0 because these are on going lines (you could tell by the infinite arrows) meaning there is no starting point. I got my y intercept as 7. Now, I know that y=2x+7.

Someone help pls?! Thank youu

Answers

Answer:

50 days

Step-by-step explanation:

1/8 pound of weight = 25/4 days

8/8 pound of weight = 25/4 × 8

                                  = 200/4

                                  = 50 days

Answer:

A. 50

B. 7.28? pounds

Step-by-step explanation:

I'm sure to my answer in leter A so don't worry.

But in letter B i'm not pretty much sure.

A diver is at 56 m below sea level. He goes down 17 m and moves up 29 m. Find his final position​

Answers

Step-by-step explanation:

final position = (-56-17+29)m = -44m

44m below the sea level.

Answer:

Here is the answer 44

Step-by-step explanation:

56+17=73

73-29=44

What is the value of the expression mn/p + (-n) if m = 4, n = 9 and p = -3

Answers

Answer:

-21

Step-by-step explanation:

mn/p - n

= 4×9/(-3) - 9

= -36/3 - 9

= -12 - 9

= -21

The value of the expression is -21

Randi made nine scarves from 4 m of
fabric. How many scarves can she make
from 28 m of the same fabric?

Answers

Ratio:
9:4
63:28
You have to do 9:4 times 7 to get the answer

Answer:

7 scarves

Step-by-step explanation:

you divide 28 by 4

BRAINLIEST IF CORRECT PLEASE HELP

Answers

Answer:

4 3/28

Step-by-step explanation:

Hope this helps!

Answer:

[tex]4 \frac{3}{28}[/tex]

Step-by-step explanation:

First, let's turn these mixed fractions to regular fractions to make multiplying easier:

3 2/7 = 2/7 + 21/7 = 23/7

1 1/4 = 1/4 + 4/4 = 5/4

Then multiply:

[tex]\frac{23}{7}*\frac{5}{4} = \frac{( 23 * 5 ) }{(7*4)} =\frac{115}{28}[/tex]

This fraction cannot be simplified, so let's turn it into a mixed fractions:

[tex]\frac{115}{28} =4\frac{3}{28}[/tex]

20) Three consecutive odd numbers sum to 315. Write an equation and solve for the first number, then list all three numbers.


someone please help​

Answers

Answer:

Step-by-step explanation:

I don't do this question the same way as it is done in the classroom, but I will get you the right answer

Let the middle number = x

Let the smallest number = x - 2

Let the largest number = x + 2

x - 2 + x + x + 2 = 315             Combine like terms. The 2s cancel

3x = 315                                  Divide by 3

x = 105

So the middle number is 105

The smallest number is   103

The largest number is     107

Total                                  315

This method cuts out at least one step. It works best with an odd number of terms. If you have an even number, you have to use the more traditional method.

1/5x - 2 = 4 answer quickly please

Answers

It would be 30.

0.2 times 30=6
6-2=4

Answer:

30

Step-by-step explanation:

add 2 to 4, which =6, then divide 6 by 1/5 to get x

Which of the following is not always true for adjacent angles? * (
)a) They have a common arm.
b) They have a common vertex.
c) Their sum is 180°.
d) Their other two arms lie on the opposite side of the common arm.

Answers

Answer:

C

Step-by-step explanation:

Other Questions
Zionist fought to stop the creation of a Jewish state in the Middle East true or false FRENCH HELP PLEASE!! A soap manufacturer advertises that it has increased the size of their bottle ofdishwashing soap to 18,4 ounces, which is 5% more than the original size,What is the original size of the bottle?Round your answer to the nearest tenth Help Ill mark you brainlist Rank through 10 countries with the largest population (from largest to smallest) and list population. 2020 why is six scared of seven? The thin lining tissues on our hands areA. squamousB. cuboidalC. columnarD. loose connective tissue i don't know how to do math lol what capital city is BELARUS? What is 1-2n+5=6? What is the value Everything in the physical universe is composed of matter which has mass and occupies space.True or False?PLEASE I NEED HELP FAST A single bus ticket costs $1.55. A book of twelve tickets cost $17.20. How much do you save by buying the book of tickets? 6. Find the solution of y = -2x + 3 for x = 2. I NEED THE RIGHT ANSWER ASAP IT NEEDS TO BE 100% ACCURATE NO LINKS !!!What happens when multiple forces act on an object?1: The object will move if the forces are unbalanced.2: The object will always stay in place.3: The object will always move.4: The object will move if the forces are balanced. Biology is used in agriculture to produce I need help!! my moms b day is coming up but i don't know what to do for her!!! mabye some of you people might be able to help me. will give brainlyest so she likes, Rats, Cats, fairy's, plants, flowers. pls help pls Fill in the correct past perfect tense of the verb to complete the sentence.1. When Namjoon friend called, he (go) _____to the party.2. She choose purple Paint because she (think)_____of calming.3. before he threw the trash, she (pick) ____those that are recyclabe. Directions: Circle the word that is most different in meaning from the others.1. a.) vigilance b.) attention c.) alertness d.) laziness2. a.) grin b.) flinch c.) wince d.) shrink3. a.) joy b.) consternation c.) happiness d.) elation4. a.) tower b.) crouch c.) cower d.) cringe i need to get a good score! plss help!!!! Need help on this, what is the correct name for this number?