Convert the exponential to a logarithmic form: 10^4 = 10,000
Question 1 options:

A)

log 10 = 4

B)

log 4 = 10

C)

log 10,000 = 4

D)

log 4 = 10,000

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Exponential form is y = b^x, with b as the base, and logarithmic form is x = log_b(y).

In this case, 10 is the base, 4 is x, and 10,000 is y. In logarithmic form, this can be changed into 4 = log_10(10,000). Logarithms with base 10 can also be written as 4 = log(10,000). Therefore C is the correct answer.


Related Questions

24 out of 50 children prefer the color blue. what
percentage of children prefer the color blue?

Answers

Answer:

48%

Step-by-step explanation:

as a fraction is 24/50

make denominator 100 so times by 2

24 x 2 = 48 so

48/100 = 48%

26% is the percentage of how much I think?

How many kilograms are in 242,000 milligrams? The solution is

Answers

Answer:

i am from afghanistan and you

Answer:

.242 Kilograms

Step-by-step explanation:

To convert milligrams to kilograms multiply the value by .000001 or move the decimal mark 6 places to the left.

in the table below x represents miles traveled and y represents the cost to travel by train what is the y intercept of this function?

Answers

Answer:

im pretty sure its 2.25...

Step-by-step explanation:

hope this helps:)

-27 w3 + 125 factorize

Answers

[tex]-1(3w-5)(9w^{2} +15w+25)[/tex]

519.6 x 10.86


by process.​

Answers

Answer:

5642.856

Step-by-step explanation:

Multiply 5196 x 1086 without the decimal points

Then you will get the ans 5642856 then count how many decimal points are there altogether which is three points.

So go behind three numbers and put the point.

Final Answer - 5642.856

will mark brainliest

Answers

Answer:

0.5

Step-by-step explanation:

total no. of tiles

= 3 + 6 + 3

= 12

probability of tile being green

= 6 / 12

= 1/2

= 0.5

hope this helps!

NO LINKS!! Please help​

Answers

Answer:

FJ = 32

IJ = 24

FG = 48

Step-by-step explanation:

Getting Started with FG

[tex]\frac{IH}{AB} =\frac{FG}{ED}[/tex]

[tex]\frac{72}{36} =\frac{FG}{24}[/tex]

[tex]\frac{FG}{24} =2[/tex]

[tex]FG=24(2)=48[/tex]

The proportion between polygons is 2:1

[tex]IJ=2CB[/tex]

[tex]IJ=2(12)=24[/tex]

[tex]FJ=2BC=2(16)=32[/tex]

Hope this helps

Answer:

FJ = 32

IJ = 24

FG = 48

Step-by-step explanation:

Given:  HGFJI ~ AEDCB

From inspection of the diagram, the corresponding sides are:

HG~AE

FG~DE

FJ~DC

IJ~CB

IH~BA

The only pair of sides that both have side lengths are IH and BA.  Therefore, we can use these to figure out the scale factor of dilation.

IH = 72   and   BA = 36

⇒ IH/BA= 72/36 = 2

Therefore, HGFJI is an enlargement of AEDCB by a scale factor of 2

If HG = 56

⇒ AE = 56 ÷ 2 = 28

If DE = 24

⇒ FG = 24 × 2 = 48

If DC = 16

⇒ FJ = 16 × 2 = 32

If CB = 12

⇒ IJ = 12 × 2 = 24

Let Vector a = LeftAngleBracket 3, 11, negative 8 RightAngleBracket. and Vector b = LeftAngleBracket 2, negative 3, c RightAngleBracket. . If Vector a minus vector b = LeftAngleBracket 1, 14, negative 3 RightAngleBracket., what is the value of c?

–11
–5
5
11

Answers

Answer:

c.5

Step-by-step explanation:

What’s 1+2?
Answer fasttttt
I will mark you as branly

Answers

Answer:

3

Step-by-step explanation:

uhhhhhhhhhhhhh yeah

Find the following given f(x) = - 9x - 2.
a. f(4)
b. f( - 3)
c. f(0)
D. F(1/7)

Answers

Answer:

the answer for {a} is -38

Step-by-step explanation:

fill in the number for x then simplify

f(x)=-9x - 2

f(4) = -9 (4) - 2

     = -36 - 2 = -38

Use the same process for the other questions.

A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit , in dollars, must be p(x) = 100 - x. The manufacturer also determines that the total cost of producing x units is given by C(x) = 3000 + 2x. a. Express the total revenue function R as a function of x. b. Express the total profit P as a function of x. c. How many units must the company produce and sell in order to maximize profit d. What is the maximum profit? e. What price per unit must be charged in order to make this maximum profit .​

Answers

Answer: See below

Step-by-step explanation:

a)

[tex]$$The total revenue R(x) is obtained as:\begin{align*} R\left( x \right) &= xp\left( x \right)\\ &= x\left( {100 - x} \right)\\ &= 100x - {x^2} &$$$ R(x) = 100x - {x^2} \end{align*}[/tex]

[tex]$$Thus, {R\left( x \right) = 100x - {x^2}[/tex]

b)  

[tex]$$The total profit is obtained as: \begin{align*} P\left( x \right) &= R\left( x \right) - C\left( x \right)\\ &= 1000x - {x^2} - 3000 - 20x\\ &= - {x^2} + 980x - 3000 \end{align*}[/tex]

[tex]$$Hence, P\left( x \right) = - {x^2} + 980x - 3000[/tex]

c)

[tex]$$For maximum profit dP/dx should be equal to zero: \begin{align*} \dfrac{{dP}}{{dx}} &= 0\\ - 2x + 980 &= 0\\ x &= 490 \end{align*}[/tex]

[tex]$$So, the required units to maximize profit is 490[/tex]

d)

[tex]$$The maximum profit is calculated as: \begin{align*} P\left( x \right) &= - {x^2} + 980x - 3000\\ P\left( {490} \right) &= - {490^2} + 980 \times 490 - 3000\\ &= 237100 \end{align*}[/tex]

[tex]$$Accordingly, the maximum profit is \$237100.[/tex]

e)

[tex]$$Calculating the price at maximum profit as: \begin{align*} p\left( x \right) &= 1000 - x\\ p\left( {490} \right) &= 1000 - 490\\ &= 510 \end{align*}[/tex]

[tex]$$Consequently, the price at the maximum profit is \$510.[/tex]

Case Study 2: Maxing out Matched Savings
Chen's employer will match 50% of their $250 monthly contributions to their 401(k). This
means that Chen's employer will put 50% of $250 = $125 into Chen's 401(k) account each
month in addition to Chen's $250. Free money-- Nice! (this is common!)
How much will Chen have after 40 years of saving $250 their own money if the account
compounds monthly at 3% APR?
hint: Use the TVM Solver on the Tl or this website. Remember, ignore the - sign. Don't forget
about the matching!
Type answer as a number without the $ symbol rounded to the hundredths. Example, if it
the answer was $1234.5687, you would enter 1234.57.

Answers

Answer:

The computation of the given question is shown below:-

Total Contributions = Monthly contribution + Amount invested in Ferdinand’s 401(k)

= $250 + $125

= $375  

1. Future Value = PMT [((1 + r)n - 1) ÷ r

Future value = 375 × ((1 + 0.03 ÷ 12) × 12 × 40 - 1) ÷ (0.03 ÷ 12)

= $347,272

2. Ferdinand deposit = Given Amount × Total number of months in a year × Number of years

= $250 × 12 Months × 40 Years

= $120,000

3. The Amount put in by the employer = 50% of $250 ×Total number of months in a year × Number of years

= $125 × 12 Months × 40 Years

= $60,000

4. Interest = Future value - Ferdinand deposit - The Amount put in by the employer

= $347,272 - $120,000 - $60,000

= $167,272

Step-by-step explanation:

What is the measure of angle ACB? (geometry)

Answers

Answer:

30°

Step-by-step explanation:

The angle between two secants is half the difference of intercepted arcs.

m∠ACB = 1/2(mAB - mDE)

Substitute the arc values and calculate

m∠ACB =1/2(80° - 20°) = 1/2(60°) = 30°

Answer:

∠ACB = 30°

Step-by-step explanation:

Finding ∠ACB :

∠ACB = 1/2 x (∡AB - ∡DE)∠ACB = 1/2 x (80° - 20°)∠ACB = 1/2 x 60°∠ACB = 30°

How many hours would it take to watch 170 episodes of a show, each episode is about 23 minutes long.

Answers

Answer:

Around 65 hours(2 days and 17 hours)

Each episode is 23 minutes long, and there's 170 episodes, so multiply 23 by 170 being 23 minutes for each episode.

[tex]23 * 170 = 3,910[/tex]

Now, convert 3,910 minutes to hours by dividing for every 60 minutes.

[tex]3,910 / 60 = about~65[/tex]

Therefore, the answer is ≈65

the exact value is 65.16667

Look at the following ratio:
3:8
Write an equivalent ratio if it was three times greater:

Answers

3:8 is the original ratio

multiple both sides by 3 to make it 3 times greater

the answer would be 9:24

hope this helps!!

(3+2a)² alguien sabe la respuesta?

Answers

Answer:

3(3+2a)+2a(3+2a)

9+6a+6a+4a^2

9+12a+4a^2

ANS 4a^2+12a+9

y = −2x + 8
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

Answer:

(3, 2)

Explanation:

y = −2x + 8 ....equation 1y = x − 1 ....equation 2

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

substitute equation 2 into 1

x − 1 = −2x + 8x + 2x = 8 + 13x = 9x = 3

find y

y = x − 1y = 3 − 1y = 2

solution

(x, y) ⇒ (3, 2)

Answer:

(3, 2)

Step-by-step explanation:

Given

Equation 1:  y = -2x + 8

Equation 2:  y = x - 1

Solving by Substitution

Substitute Equation 2 into Equation 1 and solve for x:

⇒ x - 1 = -2x + 8

Add 2x to both sides:

⇒ 3x - 1 = 8

Add 1 to both sides:

⇒ 3x = 9

Divide both sides by 3:

⇒ x = 3

Now substitute the found value of x into Equation 2 and solve for y:

⇒ y = 3 - 1

⇒ y = 2

Therefore, the solution is (3, 2)

Use the picture attached.
How many lines of symmetry does the picture have?
A.
1
B.
3
C.
2
D.
0

Answers

Answer: look honestly I am not sure but Probably it is choice c which is 2 lines of symmetry .

Step-by-step explanation: 2 lines of symmetry because one line is horizontal and the other is vertical . One line will be in the middle of the flower which is vertical and the other line is horizontal as they will make equivalent sides . HOPE IT HELPS BUDDY .

Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = (x-7)2 + (x-7)-1

A. F(x)=(x-7)2 and G(x)=(x-7)-1

B. F(x)=x²+x-1 and G(x) = x-7

C. F(x)=(x-7)-1 and G(x)=(x-7)²

D. F(x)= x-7 and G(x)=x²+x-1

SUBMIT

Answers

Answer:

The answer is D.

Step-by-step explanation:

Use the function below to find f(3)

F(x) = (1/4)x

Please help!!

Answers

It’s B :))
Hope this helps

Can you just answer question 23!!! i need help!!!

Answers

Answer:

It is Graph A because it has the properties of a cubic graph.

please mark as brainliest thank you

a bike requires 2 hours of assembly and a swing 3 hours. a maximum of 250 hours of assembly time are available. the profit is $50 on a bike and $20 on a swing. if no more than 100 items can be produced how many of each should be assembled for maximum profit?

Answers

The assemble for maximum profit  is mathematically given as

For maximum profit, 100 tire and 0 strings must be assembled.

How many of each should be assembled for maximum profit?

Generally, the equation for the max number  is mathematically given as

Mx=50x+20y

Therefore

2x+3y \leq 250

x1+x\leq=100

Therefore

with cordinates of

(0,0)

(100,0)

(50,50)

(0,250/3)

In conclusion, The mx of 50x+20y is (100,0)

Hence, for maximum profit 100 tire and 0 strings must be assembled.

Read more about Arithmetic

https://brainly.com/question/22568180

Please help on the question as attached by providing detailed steps. Tq​

Answers

Answer:

Step-by-step explanation:

A self-serve car wash charges $5.52 to use its facilities, plus an additional $0.95 for each minute the customer is at the self-serve
car wash. If Tiffany was at the car wash for 5 minutes, how much was she charged?
A. $10.52
B. $6.47
C. $10.27
D. $4.75

Answers

C. $10.52, 0.95x5=4.75; 4.75+5.52=10.52

Carter deposited $146.00 into a new savings account that earns 13% interest compounded
quarterly. How long will it take for the balance to grow to $239.00?
Round your answer to the nearest month.

___ years and ___ months

Answers

Answer:

it should be around 4 months I believe

Step-by-step explanation:

146.00(1+0.13/4)^(4×4)

Need help with math please

Answers

Since those blue lines are perpenticular bisectors, that means they bisect at the midpoint of the line they bisect. That means the the line they bisect gets divided into equal parts. So,

BG must equal AG = 9, because DG bisects AB at the midpoint of D.

AD must equal DB = 6, because DG bisects AB at the midpoint of D.
So, AB =6+6 =12

BG=9
AB=12

I need help ASAP!!!! Worth 20 points!

Answers

Answer:

x in (-oo:+oo)

(5/4)*x-(3/7) = 0

(5/4)*x-3/7 = 0

5/4*x-3/7 = 0 // + 3/7

5/4*x = 3/7 // : 5/4

x = 3/7/5/4

x = 12/35

x = 12/35

Step-by-step explanation:

what is 36x - 28 equal

Answers

Answer:

[tex]36x-28[/tex]

Rewrite 36 as 4*9 & Rewrite 28 as 4*7

[tex]4\cdot \:9x-4\cdot \:7[/tex]

Now, u can factor out the common term 4

[tex]4\left(9x-7\right)[/tex]

Write the inverse variation function given that y varies inversely with x, and y = 0.5 when x = 24.

Answers

Answer ↓

[tex]\large{\text{Refer\:to\:explanation\:pls}}[/tex]

Calculation ↓

If y varies inversely with x, we divide :

y = [tex]^k/_x[/tex]

Where

k = constant of proportionality

We are given that :

y = 0.5

x = 24

So we write :

0.5 = [tex]\Large\text{$^k/_{24}$}[/tex]

Multiply by 24 on [tex]\Large{\text{both\:sides\::}}[/tex]

12=k

[tex]\Large{\text{The\:constant\:of\:proportionality\:is\:12.}}[/tex]

So we have

y = 12/x

[tex]\footnotesize{\text{hope\:helpful}}[/tex]

If the area of a rectangle is x4 + 3x3 - 2x2 - 200 and the width is x + 5, find its length.

Answers

Answer:

Step-by-step explanation:

Area = 4x + 9 - 4 - 200

= 4x - 195

Since Area is lw, let the width be x + 5 and y be the unknown length.

Therefore (x + 5) (y) = 4x - 195

Answer:

x³ - 2x² + 8x - 40

Step-by-step explanation:

Area = length · width

(x⁴ + 3x³ - 2x² + 0x¹ - 200) = length · (x + 5)

length = (x⁴ + 3x³ - 2x² + 0x¹ - 200) ÷ (x + 5)

BRAINLIEST please if this helped!
Other Questions
In a drawing, there are three circles, four stars, and three triangles. What is the ratio of stars to the total number of shapes? Simplify your answer. Can Anyone help me edit my speech grammer wise? Consider the points plotted on the number line shown.PLS HELP ILL GIVE 5 STARS How have scientific advancements led to an increase in food safety? a. improved preservation techniques b. improved monitoring techniques c. improved processing techniques d. all of the above what is 2x + y - 3z, x = 2/5 , y = 2/3, z = 1/6 what does it equal Which statement is NOT true of T.S.Eliot, the voice of Modernism? His poem The Waste Land is thought to bethe most influential English language poem ever written.He was born in England, but chose to live in America. He received the Nobel Prize for literature in 1948. He was actually born in America, but chose to live in England. Calculate the circumference and area of this circle (6cm) President: George W. Bush. Situation: 1) Use of executive privilege. 2) Patriot Act. 3) Iraq War. What was the constitutional issue(s) involved? Will Mark Brainliest. In 2008, researchers at Princeton University demonstrated techniques to retrieve RAM contents after the computer had been powered off. They then extracted drive encryption keys from RAM and used them to decrypt an encrypted drive. This is called a(n): Help will name Brainliest ! What increased trade with Western Europe?colonies in Africacolonies in the Caribbbeancolonies in North and South Americacolonies in South America If you start with 1000 g of Carbon 14, how much will remain after 4 half lives? does anyone know where he got the 32pie from? 1111) Terry earns $30 per hour walkingdogs. Terry pays $150 each month to agrooming service for the dogs. Whichequation represents Terry's profit, y, forwalking x dogs?a) y = 30 + 150xb) y = 30x + 150c) y = 30 - 150xd) y = 30x - 150 4) Cody invests $2,733 in a retirementaccount with a fixed annual interest rate of9% compounded 12 times per year.Howlong will it take for the account balance toreach $9,589.78? Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. when sharon jumps, megan throws a beach ball up to sharon with an initial upward velocity of 16 ft/s from a height 5 feet off the ground. to the nearest hundredth of a second, how long after she jumps does the ball reach sharon? 0.65 seconds 0.92 seconds 1.08 seconds 1.15 seconds What is the basic idea of evolution?a. Changes only occur between female in a speciesb. Change over timec. Changes only occur between male in a speciesd. Nothing changese. Rapid Change taking a photo of 3 questions! Please help! with ALL answers if possible! Im putting it at 30+ points Which change would make this slide more effective? using smaller text using less text removing the title removing the image HELP QUICK! 20 BRAINLY POINTS WILL BE GIVEN!!!A particular region has experienced increased deforestation. This has led to an increase in soil erosion, which has caused a decrease in the overall soil quality of the region due to the loss of fertile topsoil. Farmers in the area have had difficulty growing crops in the less fertile soil that is left behind, which has negatively impacted the region's economy.Which of the following solutions would best help reduce soil erosion and improve soil quality in the region? A. adding small amounts of phosphate and other chemicals to the remaining soil before planting crops B. switching to synthetic fertilizers and using aggressive agriculture techniques such as slash-and-burn farming C. increasing the vegetative cover in the region and using sustainable farming techniques such as terrace cultivation D. switching to organic fertilizers and allowing grazing by domesticated animals in fields not currently used for crop cultivation