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snow_lady [41]
4 years ago
10

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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Natasha needs to borrow $500 until her next paycheck to purchase a wedding gift.
anastassius [24]
1,000 yes 25% of 4000 is 1000
5 0
3 years ago
Caroline bought movie tickets for three Children and a bucket of popcorn for $9.50. If she spent a total of $35.75, how much was
meriva

Answer:

$8.08

Step-by-step explanation:

First subtract 9.50 from 35.75 to get

24.25

Then divide 24.25 by 3 to get

Approx $8.08

7 0
3 years ago
If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?
Dmitrij [34]
A is the point (-4, 1)

i) reflection over the y-axis projects a point (a, b) to (-a, b):

(-4, 1) is projected to (4, 1), 

ii) reflection over the x axis projects a point (a, b) to (a, -b):

(4, 1) is projected to (4, -1),

iii) rotation 180 degrees: projects (a, b) to (-a, -b):

so (4, -1) is projected to (-4, 1)


Answer: A'(-4, 1)
 
8 0
3 years ago
If a = -35, b = 10 cm and c = -5, verify that:
Murljashka [212]

Step-by-step explanation:

(i). a+(b+c) = (a+b)+c

-35+(10-5) = (-35+10)+(-5)

-35+5 = -25-5

-30 = -30

(ii). a×(b+c) = a×b + a×c

-35 × [10+(-5)] = -35×10 + -35×-5

-35 × (10-5) = -350 + 175

-35 × 5 = -350 + 175

-175 = -175

7 0
2 years ago
E=I(R+r) solve for R
svetlana [45]
Divide I from both sides then subtract r from both sides, too so in the end:

R= (E-r)/I
8 0
3 years ago
Read 2 more answers
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