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
kodGreya [7K]
2 years ago
10

Solve the following

Mathematics
1 answer:
Mashutka [201]2 years ago
4 0

Answer:

1. log_{10} \: 35 - \: log_{10}17.5

Answer: 0.331 \: aprox. [/tex]

2. log_{3} \: 27 + 2 log_{3} \: 9 - log_{3} \: 54

Answer: -9 log_{3}

Explanation:

log_{10}35 -  log_{10}17.5 \\ =   log_ \frac{35}{17.5}  \\    = log_{10}0.5 \\   =  log_{5} -  log_{10}10 \\  =  log_{5 - 1} \\ = 0.669 - 1  \\  = 0.331 \: aprox.

You might be interested in
A banks loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviati
Alona [7]

Answer:

2.87%

Step-by-step explanation:

We have the following information:

mean (m) = 200

standard deviation (sd) = 50

sample size = n = 40

the probability that their mean is above 21.5 is determined as follows:

P (x> 21.5) = P [(x - m) / (sd / n ^ (1/2))> (21.5 - 200) / (50/40 ^ (1/2))]

P (x> 21.5) = P (z> -22.57)

this value is very strange, therefore I suggest that it is not 21.5 but 215, therefore it would be:

P (x> 215) = P [(x - m) / (sd / n ^ (1/2))> (215 - 200) / (50/40 ^ (1/2))]

P (x> 215) = P (z> 1.897)

P (x> 215) = 1 - P (z <1.897)

We look for this value in the attached table of z and we have to:

P (x> 215) = 1 - 0.9713 (attached table)

P (x> 215) =.0287

Therefore the probability is approximately 2.87%

4 0
3 years ago
HEYYYY GUYYYSSS HELPP MEEE, ILL MARK YOU BRAINIEST. PLEEEAAASEEEE thankkyouu
VikaD [51]

Answer:

Step-by-step explanation:

A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.

A. The cost at the fitness center depends on the number of months (x).

The cost is the dependent variable, and number of months (x) is the independent variable.

f(x) = 100 + 40x

Example, the cost paid for 12 months can be determined as;

f(12) = 100 + 40(12)

       = 100 + 480

       = 580

Thus, $580 would be paid for 12 months at the fitness center.

B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.

The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.

So that;

f(x) = 1.69x

The cost of 10 pounds of lettuce can be determined as;

f(x) = 1.69(10)

     = 16.9

Thus, the cost of 10 lb of lettuce is $16.90.

6 0
2 years ago
What is the simplified form of the following expression?(x10)(x2) x8 x12 x20 x100
notka56 [123]
I believe the answer would be x20. Between the two parentheses there's a multiplication symbol. So you would just pretend that the parentheses aren't there cause the variable(s) (x) is/are like terms. So you would just multiply 10 times 2 and put out the x back in front of it
6 0
3 years ago
Read 2 more answers
Find the value of x <br> 5x+15+6x-10=180
lana [24]

Combine the common factors.

11x + 5 = 180

Subtract 5 from both sides.

11x = 175

Divide 11 from both sides to isolate the x.

x = 15.90909091

4 0
3 years ago
Read 2 more answers
How much would $200 invested at 6% interest compounded annually be worth after 5 years? Round your answer to the nearest cent. D
BartSMP [9]
The answer is 267.65

A = P(1 + r/n)ⁿˣ
A - the future value
P - the principal
r - the annual rate
n - the number of compoundings per year
x - the period of time

We know:
A = ?
P = $200
r = 6% = 6%/100% = 0.06
n = 1 (annualy means once per year)
x = 5

A = P(1 + r/n)ⁿˣ
A = 200 * (1 + 0.06/1)¹*⁵
A = 200 * (1 + 0.06)⁵
A = 200 * (1.06)⁵
A = 267.65
4 0
3 years ago
Other questions:
  • 6y−1.5x=8 solving for y
    15·2 answers
  • There is 3/4 cake left for 4 people how much cake will each person will get
    7·2 answers
  • The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.
    8·1 answer
  • On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases from quadrant 2 into quadrant 1. It
    8·2 answers
  • Which is greater .83 or .083?
    15·1 answer
  • The bulldogs won 18 games out of 45, what percent of their games did the bulldogs win?​
    14·2 answers
  • Which monomial is a perfect cube?<br><br> 49p9q3r24<br> 81p12q15r12<br> 121p9q3r6<br> 343p6q21r6
    5·2 answers
  • From her eye, which stands 1.69 meters above the ground, Penelope measures the angle of elevation to the top of a prominent skys
    7·1 answer
  • Which of the following is equivalent to the expression below
    10·1 answer
  • Please help me! I will give you Brainlist if you get it right!​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!