Write as a single log:
2ln x + 2ln 4

Answers

Answer 1

Answer:

2ln 4x or ln (4x)²

Step-by-step explanation:

Use properties:

log a + log b = log abn log a = log aⁿ

Simplify:

2ln x + 2ln 4 = 2(ln x + ln 4) =2ln 4x = ln (4x)²

Related Questions

Which set of ordered pairs represents a function?
o {(-7, -1), (7, -1), (-9,3), (–9, 2)}
{(3,5), (7,9), (4,4), (3,3)}
O {(3,-2), (-7,6), (-5, -8), (3, -6)}
O {(0,2), (-9,7), (-6, -1), (-2,2)}

Answers

Answer:

The final set of ordered pairs represents a function.

Step-by-step explanation:

Each X value corresponds to exactly one y- value. Essentially, none of the x values are the same in the final set.

In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars? Express your answer rounded to the nearest cent

Answers

Answer:

The cost of that car in 2012 dollars is $20,755

Step-by-step explanation:

We take a look at inflation values of the dollar to solve this question.

100 dollars in 1976 are equivalent to 469.48 dollars in 2021.

100 dollars in 2012 are worth 113 dollars today.

So, to find the 2012 equivalent, we divide 469.48 by 113/100 = 1.13. So

469.48/1.13 = 415.5.

That is, 100 dollars in 1976 are equivalent to 415.5 dollars in 2012, that is, 1 dollar in 1976 was worth 4.155 dollars in 2012.

In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars?

Multiplying by 4.155

5000*4.155 = 20,755

The cost of that car in 2012 dollars is $20,755

The principal is 2200.00 and the rate of interest is 7% what is the final account balance after two years

Answers

Answer:

2508

Step-by-step explanation:

We are given that

Principal ,P=2200

Rate of interest, r=7%

Time, t=2 year

We have to find the final account balance after two years.

[tex]S.I=\frac{P\times r\times t}{100}[/tex]

Using the formula

[tex]S.I=\frac{2200\times 7\times 2}{100}=308[/tex]

Amount=P+S.I

Amount=2200+308

Amount=2508

Hence,  the final account balance after two years=2508

Given the frequency table, what percentage of the students in grades 9–10 like rap music? Round to the nearest whole percent.


Band Preference for School Dance
Rap Rock Country Row totals
Grades 9–10 40 30 55 125
Grades 11–12 65 20 35 120
Column totals 105 50 90 245
40%
38%
32%
16%

Answers

Answer: 32%

Step-by-step explanation:

Number of students in grade 9-10 who likes rap = 40

Total number of students in grade 9-10 = 125

The percentage of the students in grades 9–10 who like rap music will be:

= Number of students in grade 9-10 who likes rap / Total number of students in grade × 100

= 40/125 × 100

= 0.32

= 32%

Answer:

32%

Step-by-step explanation:

What is the percent of increase from 75 to 87?

Answers

Answer:

16 percent

Step-by-step explanation:

+16%

Here is how i found the answers 87-75=

an object is 279.4 centimeters wide. if you divide the object into 10 equal parts, how wide will each part be?

Answers

Cercel ben Türkçe biliyorum ben Türkçe
Very easy my dude.
279.4 / 10 = 27.94 cm.
Have a great day!

The total number of people that went to the out of town tournament was 42. How many players in chaperones went on the trip?

Answers

This sentence makes no sense....

Answer:7  jogadore participaram do jogo

A rectangular auditorium seats 1302 people. The number of seats in each row exceeds the number of rows by 11. Find the number of seats in each row

Answers

Number of seats = 42

Seats per row x row = 1302
s x r = 1302

rows + 11 = seats per row
r + 11 = s

s x r = 1302
(r + 11) x r = 1302
r^2 + 11r = 1302
r^2 + 11r - 1302 = 0
(r + 42) x (r - 31) = 0
r = -43 or 31

Cannot have negative rows so the number of rows is 31, and the number of seats per row is 31 + 11 = 42

Check: 31 x 42 = 1302 :)

tn=2n-5n, find t7=
A)93
B)21
C)75
D)54

Answers

Answer:

Step-by-step explanation:

Cary earned $56 for 7 hours of babysitting
What is Cary's unit rate for babysitting?

Answers

Answer:

$8 an hour

Step-by-step explanation:

56/7= 8

Answer:

$8 per hour.

Step-by-step explanation:

56/7=8

Select all equations that match the tape diagram.

Answers

Answer:

6x+8=35

35=8+6x

Step-by-step explanation:

id.k about 35=8+x+X+X+x+X+x


The cost of manufacturing a printer is $35. The retailer has a markup of 150%. What is the selling
price of the printer?

Answers

Answer:

$87.50

Step-by-step explanation:

35 is the original price. we are increasing it by 150% i like to break it up

100 percent increase would just be adding another 35 to it. so 35+35=70

then we have a 50% increase 35/2=17.50

70+17.50=87.50

TIMED QUESTION HELP FAST

Answers

Answer:

D

Step-by-step explanation:

A and B cannot be the right answers, because the left part of the graph is inclusive (so the right answer has to include [tex]x\leq 1[/tex] instead of [tex]x<1[/tex]).

C can also not be the right answer, because for [tex]x=0[/tex], [tex]y=-1[/tex] instead of [tex]2(0)^2 = 0[/tex].

So D is the correct answer by elimination.

The height of sunflowers is Normally distributed with mean 50 inches and standard deviation 8 inches. Use your calculator's statistical functions to find the percent of all sunflowers that are between 35 and 40 inches tall. Be sure to write your answer as a percent, but don't put the percent symbol. Once in percent form, round to 2 places after the decimal.

Answers

Answer:

7.57

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The height of sunflowers is Normally distributed with mean 50 inches and standard deviation 8 inches.

This means that [tex]\mu = 50, \sigma = 8[/tex]

Percent of all sunflowers that are between 35 and 40 inches tall.

As a proportion, this is the pvalue of Z when X = 40 subtracted by the pvalue of Z when X = 35. So

X = 40

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{40 - 50}{8}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a pvalue of 0.1057

X = 35

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{35 - 50}{8}[/tex]

[tex]Z = -1.88[/tex]

[tex]Z = -1.88[/tex] has a pvalue of 0.03

0.1057 - 0.03 = 0.0757

As percent: 0.0757*100% = 7.57%

please help, this is due soon!

Answers

Answer:

289 meters I believe.

Step-by-step explanation:

HELP HELP IM GONNA DIE IF I DONT ANSWER THIS
Olivia’s passcode has four digits. The second digit from the left is three times the first (left-most) digit. The number formed by the last (right-most) two digits is three times the second digit from the left. The sum of the digits is 21. What is Olivia’s passcode?

Answers

Answer:

3927

Step-by-step explanation:

How I did this was just trial and error. 1315 doesn’t work as it only adds up to 10. Lets try 2618. It still only adds up to 17. Let’s try 3927. It Works! Many get confused as they assume “The number formed by the last (right-most) two digits is three times the second digit from the left.” As adding up the last two digits. However, getting 21 is not possible considering the circumstances If you add the last two digits as a multiple. If you have 1234, the 3” and 4” aren’t separate numbers. The 3” and 4” is 34” not 3+4.

3+9=12.     12+2=14.     14+7=21.

Using the hit and trial method and the given condition Olivia's passcode can be determined. Olivia's passcode is 3927.

Given :

Olivia has four digits passcode.

The following steps can be used in order to determine Olivia’s passcode:

Step 1 - Let Olivia's passcode be 'wxyz'.

Step 2 - The sum of all the digits is given by the equation:

w + x + y + z = 21

Step 3 - The linear equation that represents the situation "The second digit from the left is three times the first (left-most) digit" is given by:

x = 3w

Step 4 - Now, use the hit and trial method first put (w = 1) and check all the given conditions. If w = 1 then x = 3 and but the third condition that is the last (right-most) two digits is three times the second digit from the left is not satisfied.

Step 5 - Now, put (w = 3) and check all the given conditions. If w = 3 then x = 9 and the last two digits become 2 and 7. And the sum of all the digits is equal to 21.

Step 6 - From the above steps, it can be concluded that the passcode is 3927.

For more information, refer to the link given below:

https://brainly.com/question/25277954

2. Two boxes are being shipped at a facility. One
box weighs 25.09 pounds, and the other box
weighs 25.018. Which box weighs more? Explain
and prove your answer.

Answers

Answer:

i think 25.09 weighs more

Step-by-step explanation: well simply 25.018 has more decimal places down therefore making it a smaller number

sorry if you get it wrong :c

The relationship between a distance x in a garden and the corresponding distance y in a model of the garden is y = kx. A triangular path in the model has sides that measure 8 yards, 15 yards, and 17 yards. The side lengths of the actual path are 48 yards, 90 yards, and 102 yards. What is the constant of proportionality?

Answers

Answer:

1/6

Step-by-step explanation:

PLEASE HELP ME OUT CCCCCCCCCCCCCCCCCC;

Answers

Answer:

I think it's the last to they sound way more independent!!!

Question 2 What is the correct order of operations to complete a math problem?​

Answers

Parentheses,(brackets etc.) Exponent, Multiply/divide doesn’t matter which one. Addition/ subtraction. Doesn’t matter which one. You can remember this with the abbreviation PEMDAS. Please mark Brainliest!!!

One line passes through the points (0, 2) and (3, 4). Another line passes through the
points (3,5) and (5,2). Are they parallel or perpendicular?

Answers

they are perpendicular

Solve 3m - 6 = 33
Your final line must say, m= ...

Answers

Answer:

m = 13

Explanation:

3m - 6 = 33

Add 6 To Both Sides

3m − 6 + 6 = 33 + 6

3m = 39

Divide Both Sides By 3

3m / 3 = 39 / 3

m = 13

- PNW

After a party, 1/3 of a pizza

remains. Rachel eats 1/2 of the

remaining pizza. What fraction of a

pizza does she eat?

Answers

1/6 because 1/3 • 1/2 is 1/6

The required fraction of the pizza Rachel eat is 1 / 6.

Given that,
After a party, 1/3 of a pizza remains. Rachel eats 1/2 of the remaining pizza. What fraction of a pizza she eat is to be determined.


What is simplification?

The technique in mathematics to perform and solve the expression to make the expression simple or more understandable is called simplifying and the process is called simplification.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.


Here, remaining pizza = 1 / 3
Rachel eats 1 /2 of the remaining pizza so,
=  1 / 2 * 1 / 3
= 1 / 6

 

Thus, the required fraction of the pizza Rachel eat is 1 / 6.  

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ2

Lisa ran 3 1/2 miles in 21 minutes at that rate how long will it take her to run 5 miles

Answers

Answer:30

Step-by-step explanation: please

Lisa take approximately 30 minutes(time) to run 5 miles at the same rate she ran 3 1/2 miles in 21 minutes.

To find out how long it will take Lisa to run 5 miles at the same rate, we can set up a proportion using the distance and time data.

Let's denote the time it will take her to run 5 miles as "t" (in minutes).

The proportion can be set up as follows:

(3.5 miles) / (21 minutes) = (5 miles) / (t minutes)

Now, cross-multiply and solve for "t":

3.5 × t = 21 × 5

3.5t = 105

Divide both sides by 3.5 to isolate "t":

t = 105 / 3.5

t = 30

So, it will take Lisa approximately 30 minutes to run 5 miles at the same rate she ran 3 1/2 miles in 21 minutes.

To know more about distance

https://brainly.com/question/26550516

#SPJ2

Pictured below is quadrilateral QRST. Which statement is NOT sufficient to prove that QRST
is a rectangle?

Answers

Answer:A

Step-by-step explanation: The letters are not in the correct order on letter A and the rest of the answers can prove it.

When a commodity is sold for x dollars per item, the number of items sold is f(x). The item costs 5 dollars to make. The item costs 3 dollars to make.

Required:
a. Express the total profit P in terms of x (the answer has been partially filled in for you).
b. What is the rate of change of the total profit as x changes?
c. If 3000 items sell when the price is 45 dollars and if the number of items that are sold decreases by 600 for every 1 dollar increase in price, find the rate of change of the profit when the item price is 45 dollars.

Answers

In this exercise we will use the differential equations to calculate finances, we find that:

a) [tex]Profit = (x - 3)f(x)[/tex]

b) [tex]P' = f(x) + (x - 1) f'(x)[/tex]

c) [tex]P' = 29400[/tex]

The cost of producing the items is the total expenses of production while the revenue is the amount of money generated from selling the item.

a)Then using the given formula and substituting for the known values ​​we find that;

[tex]Cost = \ cost \ of \ producing \ one \ item * number \ of \ items \ produced\\Cost = $3 * f(x) = 3f(x)\\Revenue = selling \ price \ of \ one \ item * number \ of \ items \ produced\\Revenue = x * f(x) = xf(x)\\Profit = Revenue - Cost = xf(x) - 3f(x)\\Profit = (x - 3)f(x)[/tex]

b) Applying knowledge of differential equations we find that:

[tex]P' = d/dx(xf(x) - 3f(x) )\\P' = f(x) + xf'(x) - f'(x)\\P' = f(x) + (x - 1) f'(x)[/tex]

c)Substituting the known values ​​into the formula given above, we find that:

[tex]f(x) = 3000, x = $45, f'(x) = -600 items / 1$\\P' = 3000 + (45 - 1)(-600)\\P' = 3000 + 26400\\P' = 29400[/tex]

See more about differential equations at brainly.com/question/25731911

To prepare for a lab experiment, Ted is making a solution that uses two types of concentrations of HCI ( hydro boric acid) 80 ml of 50% HCI solution, and 120 mlL of 20% HCI solution. What is the HCI concentration of the mixes solution

Answers

Answer:

32%

Step-by-step explanation:

50% of the first solution is HCL, so it has

80 ml x 50% = 80 ml x 0.5 = 40 ml of HCL

Similarly the second solution has 20% of HCL, so

120 ml x 20% = 120 ml x 0.2 = 24 ml of HCL

The combined solution will have 40 ml + 24 ml = 64 ml of HCL.

The total volume of the 2 solutions is 80 ml + 120 ml = 200 ml.

We can now calculate the concentration of HCL in the mixed solution, by dividing the volume of HCL by the total volume of the solution,

64 ml / 200 ml = 0.32 = 32%

6(x - 1) = 6x - 1
what’s the answer ^^

Answers

Answer:

this is an identity which is true for all x values

Step-by-step explanation:

Perform the indicated multiplication.  We get:

6x - 1 = 6x -1

and see that this is an identity which is true for all x values.

A rectangular garden has an area of 3/5 square miles. If its length is 7/8 miles, what is its
width?
Input your answer as a fraction.

Answers

Answer:

[tex]\frac{24}{35}mi[/tex]

Step-by-step explanation:

Area = length • width

area = [tex]\frac{3}{5}mi^{2}[/tex]

length = [tex]\frac{7}{8} mi[/tex]

width = x

[tex]\frac{3}{5} = \frac{7}{8} x[/tex]                   multiply both sides by [tex]\frac{8}{7}[/tex] (the reciprocal of [tex]\frac{7}{8}[/tex])

[tex](\frac{8}{7})(\frac{3}{5}) = x[/tex]

x = [tex]\frac{24}{35}[/tex]

Answer:

24/35 is your answer

Divide 3/5 by 7/8 to get the answer of 24/35

y = x + 6
y = -2x - 3

Answers

Answer:

(x,y)=(-3,3)

Step-by-step explanation:

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