Which expression is equivalent to the given expression?
4 ln x+ In 3 – In x

A. In(3x+3)
B. In(x^4 - x+3)
C. In(3x^3)
D. In(11x)

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Using the rules of logarithms

loga + logb = log(ab)

loga - logb = log([tex]\frac{a}{b}[/tex] )

log[tex]x^{n}[/tex] ⇔ nlogx

Given

4lnx + ln3 - lnx

= 3lnx + ln3

= lnx³ + ln3

= ln(x³ × 3)

= ln(3x³) → C


Related Questions

2x/7-3=2
What is the value of x

Answers

Answer:

35/2 or 17.5

Step-by-step explanation:

2x / 7 - 3 = 2

2x / 7 - 3 + 3 = 2 + 3

2x / 7 = 5

(2x /7) x 7 = 5 x 7

2x = 35

x = 35/2 or 17.5

Answer:

[tex]x = \frac{35}{2} [/tex]

Step-by-step explanation:

[tex] \frac{2x}{7} -3=2[/tex]

[tex] \frac{2x}{7} = 2 + 3[/tex]

[tex]\frac{2x}{7} = 5[/tex]

[tex]x = \frac{7}{2} \times 5[/tex]

[tex]x = \frac{35}{2} [/tex]

Decimal Form:

[tex]x = 17.5[/tex]

Mixed Number Form:

[tex]x = 17 \frac{1}{2} [/tex]

Hope it is helpful...

Find the area of the polygon.

Answers

Answer:

Area = 15 square cm

Step-by-step explanation:

[tex]Area = base \times height\\\\[/tex]

       [tex]= 5 \times 3\\= 15 \ cm^2[/tex]

area =15cm²

Answer:

Solution given:

Area of a given polygon [parallelogram]=

base*height=5*3=15cm²

can someone help me with this Q :)

Answers

Answer:

its the digram: )

Step-by-step explanation:

Answer:

*888888888877727723772289292

Step-by-step explanation:

88ejei49 + 710 is 49 + 710 is 10390..49 + 710 is 10390.

Easy question please answer mark you brainliest

1. find the area of the circle

Answers

Answer:

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

Answer:

area of a circle=200.96a^12

Step-by-step explanation:

area of circle=πr^2

=3.14*([tex]8a^{6}[/tex])^2

=3.14*64a^12

=200.96a^12

Maggie bought 45 oz of flour for her bakery. She used 17.5 oz to make a loaf of bread, and 0.71 oz for each muffin. How many muffins did Maggie make if she had 14.72 oz of flour left over?

Answers

Answer:

18 muffins

Step-by-step explanation:

Amount of flour Maggie used

Total amount of flour she bought - Amount of flour left over.

= 45oz - 14.72 oz

= 30.28 oz of flour

She used 17.5 oz to make a loaf of bread, and 0.71 oz for each muffin.

Hence,

Let the number of muffins = x

17.5 + 0.71x = 30.28

0.71x = 30.28 - 17.5

0.71x = 12.78

x = 12.78/0.71

x = 18 muffins

Therefore, Maggie made 18 muffins

The graphs of f(x) and g(x) are shown.

If g(x)=f(x)+k, what is the value of k?

Answers

Answer:

the answer is :

value of k is 2

Solve 270=3e^2.4K to the nearest hundredth

If you can solve this for me could you please give steps so I can understand, please and thank you so much!

Answers

Given:

The equation is:

[tex]270=3e^{2.4K}[/tex]

To find:

The solution for the given equation to the nearest hundredth.

Solution:

We have,

[tex]270=3e^{2.4K}[/tex]

Divide both sides by 3.

[tex]\dfrac{270}{3}=e^{2.4K}[/tex]

[tex]90=e^{2.4K}[/tex]

Taking ln on both sides, we get

[tex]\ln (90)=\ln e^{2.4K}[/tex]

[tex]\ln (90)=2.4K[/tex]                  [tex][\because \ln e^x=x][/tex]

Divide both sides by 2.4.

[tex]\dfrac{\ln (90)}{2.4}=K[/tex]

[tex]\dfrac{4.4998}{2.4}=K[/tex]           [tex][\because \ln (90)\approx 4.4998][/tex]

[tex]1.874916667=K[/tex]

Round the value to the nearest hundredth (two decimal place)

[tex]K\approx 1.87[/tex]

Therefore, the value of K is 1.87.

15 = 3w solve for w, what does w equal

Answers

Answer:

w = 5

Step-by-step explanation:

15 = 3w

Switch sides.

3w = 15

Divide both sides by 3.

w = 5

3w = 15

Divide both sides by 3

3w ÷ 3 = 15 ÷ 3

w = 5

A: What is the smallest increment on the voltmeter

B: What is the uncertainty

(Multi choice)

1. A: 10 V
2. A: 1 V
3. A: 100 V
4. B: 5 V
5. B: 0.5 V
6. B: 50 V​

Answers

Answer:

RESOLUTION

Step-by-step explanation:

Resolution is the smallest increment a tool can detect and display. For a nonelectrical example, consider two rulers.

Melanie recorded a number with two sevens. The value of the first 7 is 7,000. The value of the second 7 is 700. Which could be Melanie's number?

Answers

Answer:

7700.

im not sure if the 00 are to be other numbers but 7700 should be your number


please help. i have no clue how to do volume of spheres

Answers

Step-by-step explanation:

the answer is a

4/3πr^3

4/3*22/7*5^3

Ms. Joseph is saving money for a trip to Zearnland over 12 weeks. She starts with 1 dollar. In the second week, she adds 2 dollars. Each week she adds 1 more dollar than she did the week before. How many weeks will she be saving money?

Answers

Answer: $78

Step-by-step explanation:

You start out with $1

$2 = second week $3 = third week $4 = fourth week $5 = fifth week $6 = sixth week $7 = seventh week $8 = eighth week $9 = ninth week $10 = tenth week $11 = eleventh week $12 = twelth week

then you add it all up = 1+2+3+4+5+6+7+8+9+10+11+12 that would equal to $78

Determine the answer to (-3) + (-5) using a number line

Answers

Answer:

---

Step-by-step explanation:

Start at -3. Then subtract 5 from it(or go backwards 5).

---

hope it helps

Help I need a answer

Answers

Answer:

C

Step-by-step explanation:

The verticle line on the left is the minimum and is 4 for both

Which statement is true?
The range of h(x) is y> 0.
The domain of g(x) is y> 0.
O The ranges of f(x) and h(x) are different from
the range of g(x).
O The domains of f(x) and g(x) are different from the domain of h(x).

Answers

The range of h(x) is core

Answer:

Step-by-step explanation:

What is the value of tan (–3 pi/4 )?

Answers

You may find tan ((3pi)/4) by 2 ways.
1. By the Trig Table (of Special Arcs)
Trig Table gives -->
tan (3π/4)=−1

2. By the trig unit circle.
tan (3π/4) = − tan(π)/4

On the trig unit circle, the segment
AT = tan ( π/4)

The triangle OAT is isosceles,
tan (π/4) = AT = OA = 1

Therefor
tan(3π/4) = − tan( π/4) = −1

Please mark brainliset

show that 21^n, n €N can never ends with 0,2,4,6 and 8​

Answers

Answer:

Step-by-step explanation:

[tex]21 ^n = (3 \times 7)^n[/tex]

21 has no 2 in it's prime factorization. So it can never end in 0, 2 , 4 , 6 , 8.

 OR

Odd number raise to any number is always odd, Which does not include 2, 4, 6 , 8.

So [tex]21^n[/tex] does not end with 0, 2, 4 , 6 , 8.

whats 38273 round off to 100​

Answers

Answer:

38,300

Step-by-step explanation:

The hundredth number is the third number to the left from the right.

If we look to the number right of 2, there 7.

Since we are rounding: 5 or more...raise the score, 4 or less...let it rest.

Well 7 is greater than 5 so we round 2 up to 3

Hope this helps

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

38,273  ≈ 38,300

»»————- ★ ————-««  

Here’s why:  

We would first locate the hundreds place. The hundreds digit would be '2'.

38,273

If the tens place (the digit to the right) is greater than or equal to 5, then we would round up. If the tens place is less than or equal to 4, we round down. Since the 7 is greater than or equal to 5, we would round up.

⸻⸻⸻⸻

38,273  ≈ 38,300

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

set of data has a normal distribution with a mean of 56 and a standard deviation of 7. Find the percent of data within the following interval.
from 35 to 77

SOMEONE PLEASE HELP

Answers

Answer:

.99815

which is about

99.815%

Step-by-step explanation:

we are looking for 35<x<77

We need to find (what I think is called) the z score which is acheieved through what I'm pretty sure is called standardizing

What we do is subtract the mean and then divide by the standard deviation

so for 35 we have

(35-56)/7= -3.29

due to the fact that the normal distribution is symmetric this is equal to 1-p(3.29)

to find p(3.29) grab a ztable and get p(3.29)= .9995

1-.9995= .0005

For 77 we have

(77-56)/7=3

grab a ztable and find the 3= .99865

Finally subtract these two to get the final answer

.99865-.0005= .99815

8 cm
10 cm
The surface area of the above figure is
A. 816.8 cm2
B. 879.6 cm2
C. 565.5 cm2
D. 1131.0 cm2

Answers

Answer D from the web

a) Complete the table of values for y = 2x2 + x

Answers

You plug each of the values in for x and come out with
-2 = 6
0 = 0
2 = 10

Toby the poodle buries 9 sticks. Clifford the jack russel buries 7 times as the amount of sticks toby How many sticks did the dogs bury in all

Answers

Answer:

1√6

Step-by-step explanation

9+7=16

What I Can Do
Construet an appropriate graph for the Charity donations of each grade level in a high school: ​

Answers

Answer:

You should have a graph that has the words on the y axis Grade 7 Grade 8 Grade 9 and Grade 10 on each differnt line. Than put the number corosponding to the grade on each line, making the graph rise up and down.

Step-by-step explanation:

Can't make one.

Find the equation of the line with slope zero passing through A(-4, 7).

Answers

Answer:

y =7

Step-by-step explanation:

A line with zero slope is

y = constant

The y value for the point is 7

y =7

Answer:

0x+7=y

Step-by-step explanation:

0(-4)+b=7

0+b=7

b=7

Challenge. Add a number to the original data set based on the instructions below:
Original data set:
3, 10, 8, 3, 10, 1, 10,
A)
Fill in the blank with a number that would make the range of the data set 20.
3, 10, 8, 3, 10, 1, 10,
B)
Fill in the blank with a number that would make the mean of the data set 15.
3, 10, 8, 3, 10, 1, 10,
C)
Fill in the blank with a number that would make the standard deviation smaller.
3, 10, 8, 3, 10, 1, 10,

Answers

Answer:

A) 23

B) 75

C) 6.30

Step-by-step explanation:

A) Range = highest value - least value

Range = 20

least value = 3

Thus,

20 = highest value - 3

highest value = 20 + 3

                      = 23

The number that would make the range of the data set 20 is 23.

B) Let the number be represented by x, so that;

15 = [tex]\frac{3 + 10 + 8 + 3 + 10 + 1 + 10 + x}{8}[/tex]

cross multiply to have

15 x 8 = 45 + x

120 - 45 = x

x = 75

The number that would make the mean of the data set 15 is 75.

C) The given data plus a number that is close to the mean would reduce the standard deviation.

mean of the data set = [tex]\frac{3+10+8+3+10+1+10}{7}[/tex]

                                   = 6.43

The required number could be 6.30

What is the correct answer to this question?

Answers

Answer:

A

Step-by-step explanation:

A Triangle on a coordinate plane is translated according to the rule T-8, 4(x, y). Which is another way to w
rule?
• (X,Y) (x+4,y-8)
• (X,Y) → (X-4, y-8)
• (X,Y)(-8, y+4)
• (x,y) → (x+8, y-4)

Answers

Answer:

C (x, y) - (x - 8, y + 4)

Step-by-step explanation:

which statement would be true if you evaluate the expression 15x(465x4)
a. the solution is 5 times as small as 3x(465x4)
b. the solution is 3 times as small as 3x(465x4)
c. the solution is 3 times as large as 5x(465x4)
d. the solution is 3 times as large as 5x(465+4)

Answers

Answer:

c. the solution is 3 times as large as 5x(465x4)

Step-by-step explanation:

I assume you are using the letter x as the multiplication sign.

Start with:

15 x (465 x 4)

We know that 15 = 3 x 5

Now we replace 15 with 3 x 5 in the original expression.

15 x (465 x 4) = 3 x 5 x (465 x 4)

Answer: c. the solution is 3 times as large as 5x(465x4)

Consider this right triangle. Determine whether each equation is correct. Select yes or no using the dropdown for each equation.

Answers

Answer:

Yes

Yes

NO    CosD = 5/13

Yes

3) A box contains 4 yellow marbles, 2 blue marbles, and 3 red marbles. If a marble is drawn randomly from
the box, but the marble drawn is replaced. What is the probability of drawing 2 yellow marbles and 1 red
marble?​

Answers

Hey buddy I am here to help!

yellow marbles = 4

blue marbles = 2

red marbles = 3

total marbles = 9

1 random marbles taken off probability left = 8/9

1 random marble taken off probability = 1/9

marble if replaced = + 1

if one marble if replaced then = 8/9 + 1/9 = 9/9 that means total marbles r 9

yellow marbles drawn off = 2

so... 4 - 2 = 2 marbles left

red marbles taken off = 1

so... 3 -1 = 2 marbles left

probability/answer  = 3/9 = 1/3

Hope it helps!

Plz mark my answer brainliest

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