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worty [1.4K]
4 years ago
12

Solve the equation for x. (find an exact answer without a calculator) e^(4x+2)-4=0.

Mathematics
1 answer:
Kay [80]4 years ago
8 0
E^(4x+2)-4=0
e^(4x+2)=4
Ln (e^(4x+2))=ln 4
(4x+2)ln e=ln 4
4x+2=ln 4
4x=ln (4)-2
x=(ln (4) -2)/4

Answer: x=(ln (4)-2)/4

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78% of 68 is what number?
raketka [301]

Answer:

53.04

Step-by-step explanation:

7 0
4 years ago
Kevin uses 36 ounces of dried apples and 18 ounces of
aliina [53]

Answer:

6 containers

6 ounces of fruit snack will be left over

Step-by-step explanation:

1 pound = 16 ounces

⇒ ¹/₂ pound = 8 ounces

Total weight = weight of dried apples + weight of dried cranberries

                     = 36 + 18

                     = 54 ounces

Containers needed = total weight ÷ weight of snacks in one container

                                 = 54 ÷ 8

                                 = 6.75

Therefore, he will fill 6 containers

Snack left over = total weight - (number of containers × weight of snacks one container will hold)

                          = 54 - (6 × 8)

                          = 54 - 48

                          = 6 ounces

8 0
3 years ago
If the length of segment AC equals 58, what is the length of the midsegment DE
Delicious77 [7]

Answer:

B) 29

Step-by-step explanation:

Given:

AC= 58

Point D and E are the midpoints of side AB and BC Respectively.

Solution:

According to Midpoint theorem which states:

"The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side."

\therefore DE= \frac{1}{2} AC

DE= \frac{58}{2} =29

Hence length of DE is 29.

4 0
4 years ago
Read 2 more answers
A train travels 250 km with a average speed of 75 km/hr and 350 km with 70km/hr and 200 km with average speed of 30km/hr. What w
pentagon [3]

Answer:

53 1/3 km/h

Step-by-step explanation:

average speed = (total distance)/(total time)

average speed = distance/time

time * average speed = distance

time = distance/(average speed)

250 km at 75 km/h

distance = 250 km

time = (250 km)/(75 km/h) = 3.33333... hours

350 km at 70 km/h

distance = 350 km

time = (350 km)/(70 km/h) = 5 hours

200 km at 30 km/h

distance = 200 km

time = (200 km)/(30 km/h) = 6.6666...  hour

total distance = 250 km + 350 km + 200 km = 800 km

total time = 3.33333... hours + 5 hours + 6.66666... hours = 15 hours

average speed = (total distance)/(total time)

average speed = (800 km)/(15 hours)

average speed = 53 1/3 km/h

3 0
3 years ago
What is the relationship between 20,000 and 200,000
Inessa05 [86]
200,000 is ten times 20,000
4 0
3 years ago
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