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4 years ago

Solve the equation below: ln x- ln 5= -1

Mathematics

1 answer:

Anastaziya [24]4 years ago

4 0

Answer:

x = 5/e

Step-by-step explanation:

ln x- ln 5= -1

We know that ln a - ln b = ln (a/b)

ln x- ln 5= -1

ln(x/5) = -1

Raise each side to the power of e

e^ ln(x/5) = e^-1

We know that e^-1 = 1/e

x/5 = 1/e

Multiply each side by 5

x/5 *5 = 1/e * 5

x = 5/e

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Cho tam giác ABC vuông tại A đường giao AH biếtAH=12cm BH=9cm.<br><br>Tính diện tích tam giác ABC

Lostsunrise [7]

Answer:

Step-by-step explanation:

AB^2 = HB^2 + AH^2 => AB = 15cm

Ta co cong thuc: 1/AH^2 = 1/AB^2 + 1/AC^2 => AC=20cm

Vay SABC= 1/2 .AB.AC = 1/2 .15.20=150cm^2

6 0

3 years ago

18 Geometry question: Use an algebraic equation to find the measure of each angle that is representative in terms of X

Dmitrij [34]

Answer:

12x - 28° = 116°

7x + 32° = 116°

Step-by-step explanation:

12x - 28° and 7x + 32° are vertical angles. Vertical angles are congruent.

Therefore, to find the measure of each angle, we have to set each equation equal to each other as follows:

12x - 28° = 7x + 32°

Collect like terms

12x - 7x = 28 + 32

5x = 60

Divide both sides by 5

5x/5 = 60/5

x = 12

✔️12x - 28°

Plug in the value of x

12(12) - 28

= 144 - 28

= 116°

✔️7x + 32°

7(12) + 32

= 84 + 32

= 116°

4 0

3 years ago

A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an ineq

marshall27 [118]

Start with the given expression:
$x+2x+6$ .

Simplify by grouping like terms:
$3x+6$

Isolate variable terms:
$3x$

Solve for x:
$x$
$x$

Therefor the expression holds for integers less than or equal to 14.

As a check:
$x+2x+6$
$14+2(14)+6$
$46$ TRUE

and:
$x+2x+6$
$15+2(15)+6$
$51$ FALSE

The only choice that fits is A.

8 0

3 years ago

Read 2 more answers

Eli’s class held a fund raising event last month. The class’s expenses were+5.75, +4.75, and +3.75. The amounts of money the cla

Step2247 [10]

The different orders of computation is +56.6

Based on the funding in Eli's class;

The class’s expenses were +5.75, +4.75, and +3.75

Total expenses = +5.75 +4.75 +3.75

Total expenses = +14.25

If the amounts of money the class raised were +13.50, +24.70, +13.15, and +19.50, the total raised is expressed as:

Total money raised = 13.50 +24.70 + 13.15 +19.50

Total money raised = +70.85

Difference in computations = +70.85 - 14.25

Difference in computations = +56.6

Hence the different orders of computation is +56.6

Learn more here: brainly.com/question/21002308

4 0

3 years ago

the ratio of cookies to glasses of milk is 3:1 if there are 25 glasses of milk how many cookies are there

Finger [1]

Answer is 75:25 because if you multiply on one side, you do the same to the other

5 0

3 years ago