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
jonny [76]
3 years ago
7

Please help me with the following questions. Thanks in advance!!

Mathematics
1 answer:
Orlov [11]3 years ago
4 0

Answer:

Step-by-step explanation:

Eight

590 = 1800 e^(-0.4t)     Divide by 1800

0.32778 = e^(-0.4t)       Put the value for e in the denominator.

0.32778 = 1 / e^(0.4t)   Notice the sign's gone. Multiply both sides by e^(0.4t)

0.32778 *e^(0.4t) = 1    Divide by 0.32778

e^(0.4t) = 3.0508          Take the natural log of both sides.

0.4t = 1.11542                 Divide both sides by 0.4

t = 2.78855

You should put this in the original equation to see if it checks. It does.

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

Nine

3^(3 - 3x) + 6 = 42         Subtract 6 from both sides

3^(3 - 3x) = 36               Take the log of both sides.

(3 - 3x) ln(3) = ln 36

(3 - 3x) *1.098612 = 3.58352   Divide by 1.098612

3 - 3x = 3.26186             Subtract 3 from both sides

- 3x = 0.26186                 Divide by - 3

x = - 0.087287    

You might be interested in
Given the graph below, which of the following points would be included in the graph of the inverse of the function?
Svetlanka [38]

Answer : (1,-1)

a line through the points (-1, 1), (0, 2), (1, 3)

To find the point in the graph of inverse function we interchange x  and y values

For point (-1 , 1) , the point on inverse function is (1, -1)

For point (0 , 2) , the point on inverse function is (2, 0)

For point (1 , 3) , the point on inverse function is (3, 1)

so (1,-1) will be  included in the graph of the inverse of the function

7 0
3 years ago
Read 2 more answers
A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti
babymother [125]

Answer:

1 3/7 quarts should be drained off and replaced with pure antifreeze.

1 3/7 ≈ 1.4286

Current amount of antifreeze in quarts is -

30/ 100 × 10 = 3

40% ---> 4 quarts

Let the amount drained of and replaced with antifreeze be x-

The amount left after draining off is 10 − x.

The amount of antifreeze  is 30/ 100 (10−x).

30/100(10-x)+x=4

3-3/10x+x=4

3+x(1-3/10)=4

x=1*10/7=1 3/7 quarts

check;

10- 1 3/7 = 8 4/7

=(30/100*8 4/7)+1 3/7

=(3/10 * 60/7) + 10/7

=3*6/7 + 10/7

=28/7

=4

4 liters of pure antifreeze is mixed into 10 quarts.

8 0
3 years ago
If the triangles are similar, what is the value of x?
Sav [38]

Answer:

the answer to your question is D. d=54

4 0
2 years ago
Type a digit that makes this statement true.
bazaltina [42]

Answer:

2860016

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A log is 20 m long, correct to the nearest metre.
Marat540 [252]

Answer:

222 fence posts

Step-by-step explanation:

Since the log is 20 m long, correct to the nearest metre and has to be cut into fence posts which must be 90 cm long, correct  to the nearest 10 centimetres, there can be x fence posts 90 cm long.

So, we have x × 90 cm = 20 m

x × 0.9 m = 20 m

x = 20 m/0.9 m

x = 222.22

x ≅ 222 fence posts

So, the largest number of fence posts that can possibly be cut from the log is 222 fence posts.

4 0
3 years ago
Other questions:
  • Answer FASSSSSSSSSTTTTTTTTTTTTTTT
    12·2 answers
  • Enrique borrowed $23,000 to buy a new car . He pays his uncle 2% interest on the $4,500 he borrowed from him, and he pays the ba
    10·1 answer
  • Lisa has a rectangular drawing that is 43.5 centimeters by 934 millimeters. How many centimeters of wood framing will she need?
    7·1 answer
  • What is the standard form for 200000+80000+700+6
    8·1 answer
  • The suns surface has a grainy texture produced by numerous bright markings called
    7·2 answers
  • As a salesperson, you are paid $100 per week plus $3 per sale. This week you want your pay to be at least $160. Write an inequal
    6·2 answers
  • four red boxes and two black boxes cost $40. Five red boxes cost $20. All red boxes cost the same. All black boxes cost the same
    7·1 answer
  • What is 7.43 rounded to he nearest hundredth
    15·2 answers
  • HELP MEEEEEEEEE<br><br> how many grams are in 562 dg?
    7·1 answer
  • Average health premiums have been increasing at a rate of 7%. If an average family's
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!