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
Rufina [12.5K]
3 years ago
9

Solve 3^(4x+5)=(1/3)^(x+10) for x. Please show work

Mathematics
1 answer:
Naya [18.7K]3 years ago
4 0

Answer:

Step-by-step explanation:

3^{4x+5}=(\frac{1}{3} )^{x+10}=\frac{1}{3^{x+10}} =3^{-x-10}\\so~4x+5=-x-10\\4x+x=-10-5\\5x=-15\\x=-3

You might be interested in
172% of 50 is what number?
Likurg_2 [28]

Answer:

172% of 50 means 172÷100 multiplied by 50 will give you 86

6 0
2 years ago
Read 2 more answers
Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
natali 33 [55]

Answer:  By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are (\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)

Coordinate of E are  (\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)

By the distance formula,

DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}

AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}

By the slope formula,

Slope of AC = \frac{4-8}{8-6} = \frac{-4}{2} = -2

Slope of DE =  \frac{3-5}{5-4} = \frac{-2}{1} = -2


            Statement                                              Reason

1. The coordinate of D are (4,5)  and           1. By the midpoint formula

the coordinate of  E are (5,3)

2. The length of DE = √5                            2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the                3. By the slope formula

slope of AC = -2

4. DE║AC                                                   4. Slopes of parallel lines are equal


7 0
3 years ago
Read 2 more answers
ANY HELP IS APPRECIATED YALL! PLEASE HELP A GIRL OUT :D THANK YOU FOR TAKING YOUR TIME TO HELP ME:)
nignag [31]
D. 180/4=45. That’s the distance in an hour. Then multiply that by 8.
3 0
3 years ago
Read 2 more answers
6,500 acres of a 41,000 acre forest burned in a fire. what percentage of forest was damaged?​
Tems11 [23]

Answer:

15.85%

Step-by-step explanation:

Given:

Acres damaged (burned) = 6,500 acres

Acres in total forest = 41,000 acres

Hence the amount of damaged forest as a fraction of the total forest,

= \frac{6500}{41000} = \frac{13}{82}

expressed as percentage = \frac{13}{82} x 100% = 15.85%

8 0
3 years ago
PLEASE HELP DUE ON THURSDAY
valentinak56 [21]

Answer:

  1. 615.8 m^2
  2. 314.2 cm^2
  3. 38.5 ft^2
  4. 113.1 in^2
  5. 1075.2 m^2 . . . . corrected to 107,521.0 m^2
  6. 490.9 yd^2
  7. 18.8 m
  8. 94.2 in
  9. 81.7 ft
  10. 59.7 km
  11. 131.9 cm
  12. 144.5 yd

Step-by-step explanation:

The formula for the area of a circle is ...

   A = πr^2

For each of the given circles, use the value of the radius in this formula. For example, for problem 2, the diameter is shown as 20 cm, so the radius is half that, 10 cm. Putting that value into the formula gives ...

  A = 3.14159·(10 cm)^2 = 314.159 cm^2 ≈ 314.2 cm^2

___

The formula for the circumference of a circle is ...

  C = 2πr . . . . when the radius is given

or ...

  C = πd . . . . . when the diameter is given

As above, put the value for radius (or diameter) into the appropriate formula and evaluate it. For problem 12, that is ...

  C = 3.14159·(46 yd) = 144.513 yd ≈ 144.5 yd

_____

<em>Comment on doing lots of problems</em>

The idea behind having you do lots of problems is that repetition will help you remember the formula and/or how to use it. Personally, I find it tedious, so I like to let a spreadsheet or graphing calculator do the arithmetic when there are lots of identical problems (just with different numbers). This question is posted in the college math forum, so we assume you have a graphing calculator and know how to use it.

The attached photo shows a calculator set up to do the calculation and the rounding for each of the problem types. To get the answer to the last area calculation requires scrolling to the right to find it is 490.9 yd^2.

Note that we have used the calculator's button for π. If you put the number in yourself, use the one shown above, or the ratio 355/113, which is accurate to 7 digits.

In some cases, the numbers in the photo are not terribly clear. I took my best guess. In the event I read the value or units incorrectly, you will have to make appropriate adjustments—that is, do the calculation yourself.

_____

Late edit: apparently I read the number wrong for problem 5. The area of a circle with radius 185 m is 107,521.0086 m^2, which rounds to 107,521.0 m^2. Oops.

3 0
3 years ago
Other questions:
  • Peter takes an 8-inch by 3-inch sheet of paper and cuts from one corner of the paper to the diagonally opposite corner. now pete
    7·1 answer
  • Type the correct answer in each box.
    11·1 answer
  • Convert 2.5 to a fraction in simplest form
    11·1 answer
  • Let P(2, 3) be a point on a figure. The figure is dilated by a scale factor of 4.
    11·1 answer
  • Factor the following trinomials. (Hint: Solve the equations first.) a x2-3x+1
    10·1 answer
  • HELP ASAP <br><br> DONT UNDERSTAND AT ALL LOL
    11·1 answer
  • Solve 5x(x-4) using distributive property
    11·2 answers
  • Malcom has 3600 dollars in his account
    5·2 answers
  • Does the point (-694, 24) satisfy the equation y = 295x?​
    14·1 answer
  • Simplify the following fraction: 12/8
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!