1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SIZIF [17.4K]
3 years ago
11

What is the true solution to l n 20 + l n 5 = 2 l n x x = 5 x = 10 x = 50 x = 100

Mathematics
2 answers:
IgorLugansk [536]3 years ago
7 0

Answer: x = 10

Step-by-step explanation:ln20+ln5=2lnx

ln(20x5)=lnx^2

ln100=1nx^2

100=x^2

square root

x=10

Pani-rosa [81]3 years ago
3 0

Answer:

x = 10

Step-by-step explanation:

l n 20 + l n 5 = 2 l n x

ln (20×5) = ln x²

ln(100) = lnx²

100 = x²

x = +/- 10

Since logs of negative numebrs don't exist, we reject -10

You might be interested in
the numerator of a fraction is 1 more than twice its denominator. if 4 is added to both the numerator and the denominator, the f
maria [59]
5.
the equation looks like:
((2x+1)+4)/((x)+4)= 5/3
then you do cross multiplication and get:
6x+3+12=5x+20
subtract 5x on each side. subrtract the 3 and 12 from the 20.
and you get your answer 5=x
3 0
3 years ago
Read 2 more answers
Hoang has worked as a nurse at Springfield General Hospital for 7 years longer than her friend Bill. Two years ago, she had been
Evgesh-ka [11]

Answer:

Bill\to 9\ years

H \to 16\ years

Step-by-step explanation:

Let

H \to Hoang

B \to Bill

Currently:

H = B + 7

Two years ago

H - 2 = 2 * (B -2)

Required

H and B

We have:

H - 2 = 2 * (B -2)

Open bracket

H -2 =2B - 4

Add 2 to both sides

H -2+2 =2B - 4+2

H =2B -2

Substitute H = B + 7

B + 7 =2B -2

Collect like terms

2B - B =7+2

B = 9

Substitute B = 9 in H = B + 7

H = B + 7

H = 9 + 7

H = 16

3 0
3 years ago
Which number forms a Pythagorean triple with 8 and 10? Is it 6 or 15?
Firdavs [7]
The answer is 6. 15 triples with 9 and 12
5 0
3 years ago
Waitresses all want to work the "high roller" room at a local restaurant. There are six waitresses each evening assigned to one
Stells [14]

Answer:

The expected amount earned by a waitress per evening is $95.83.

Step-by-step explanation:

At a local restaurant there are six rooms total; 1 is a "high roller" room and other 5 are normal rooms.

There are 6 waitresses working at the local restaurant.

The room assignments are made by fair random selection such that each waitress has an equal probability of being in the "high roller" room.

This implies that a waitress can be assigned any of the six rooms with probability, \frac{1}{6}.

The tip earned by the waitress working in the "high roller" room is $200 and that for other rooms is $75.

So, the distribution of tips earned is as follows:

    X: $200    $75    $75    $75    $75    $75

P (X):     \frac{1}{6}          \frac{1}{6}         \frac{1}{6}          \frac{1}{6}         \frac{1}{6}         \frac{1}{6}

The expected value of a random variable is given by:

E(X)=\sum x\cdot P (X)

Compute the expected amount earned by a waitress per evening as follows:

E(X)=\sum x\cdot P (X)

         =(200\times \frac{1}{6})+(75\times \frac{5}{6})\\\\=\frac{575}{6}\\\\=95.8333\\\\\approx 95.83

Thus, the expected amount earned by a waitress per evening is $95.83.

3 0
3 years ago
In which situation do the quantities combine to make 0? A Kurt deposited $50 into his checking account on Friday. The next week,
poizon [28]
C. The temp at 10pm was 6°C. Over the next 3 hours, the temp dropped 2°C/hr.

6 -2(3) = 0
8 0
3 years ago
Other questions:
  • Define the points ​P(negative 4−4​,negative 2−2​) and ​Q(33​,negative 4−4​). Carry out the following calculation. Find two vecto
    13·1 answer
  • Are the triangles similar? If so, write the similarity statement and state which theorem or postulate is used to prove the two t
    9·2 answers
  • The temperature was -3º C last night. It is now -4º C. What was the change in temperature?
    8·2 answers
  • Which of the following relations are functions?
    7·2 answers
  • Joandid 5/6 a load of laundry on Wednesday and 1/6 a load on Thursday the first load was 3/4 colored clothes.What fraction of la
    10·2 answers
  • 8th term of 1/4,1/8,1/16,1/32
    9·1 answer
  • Picking a blue marble from a bag of 4 red Marbles, 6 marbels, and 1 white marble​
    15·1 answer
  • Find the common difference 1, 201 , 401 , 601
    11·1 answer
  • Some please help me out ASAP !!!!
    14·1 answer
  • Find the quotient. <br> 28.9 ÷ 8.5
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!