4.82 <br> write as a fraction or mixed number in simplest form

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

Orlov [11]

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.

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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

4 0

3 years ago

Maths question inequality

Bad White [126]

Answer:

x>-9

Step-by-step explanation:

6 0

2 years ago

Scientists on an oceanographic research vessel board a miniature submarine when it is at an elevation of 2 meters above the ocea

svetoff [14.1K]

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

The ocean floor directly beneath the boat is at a depth of = 180 meters

Submarine is at an elevation when it is above the ocean's surface = 2 meters

Total distance submarine needs to descends at a constant rate = 180+2=182 m

Rate of submarine descends = 0.4 meters per second.

Time taken by a scientist spend descending after boarding the submarine is given by

$Time=\frac{Distance}{Speed}\\\\Time=\frac{182}{0.4}\\\\Time=455\ seconds$

so, it must be less than 455 seconds.

therefore, it becomes x<455.

Hence, Option 'A' is correct.

5 0

3 years ago

Read 2 more answers

Mr. Akika has 30 24-cent and 33-cent stamps all told. The stamps are worth $8.91. How many of each kind of stamp does he have?

riadik2000 [5.3K]

Answer:

24-cent: 11
33-cent: 19

Step-by-step explanation:

I find it easiest to solve these using the variable to represent the number of the most-expensive item. Let x represent the number of 33-cent stamps. Then the total value (in cents) is ...

33x +24(30 -x) = 891

9x = 171 . . . . . . . . . . . . . subtract 24(30), collect terms

x = 19 . . . . . . . . . . . . divide by 9

30-x = 11 . . . . . . . find the number of 24-cent stamps

Mr. Akika had 11 24-cent stamps and 19 33-cent stamps.

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<em>Additional comment</em>

You seem to have several of these to solve. They all have a similar solution.

If we let x represent the number of higher-value items, N, the total number of items, V the total value, and v1 and v2 the individual values (v2 > v1), the equation is ...

v2(x) +v1(N -x) = V

x(v2 -v1) = V -v1·N

x = (V -v1·N)/(v2 -v1) . . . . generic solution

Using this formula in the problem here, we find ...

x = (891 -24(30))/(33 -24) = 171/9 = 19 . . . as above

7 0

3 years ago

Please help i don’t know what answers apply

dalvyx [7]

Answers are B, C, and D

If Q = 33, then the two slopes are both 33. As long as the y intercepts are different, then the two lines will be parallel leading to no intersections. No intersections means no solutions.

Note: Choice A leads to infinitely many solutions as we'll have identical copies of the same expression on each side (33x+25 = 33x+25). This is why we can rule choice A out.

4 0

4 years ago

Read 2 more answers

4.82 write as a fraction or mixed number in simplest form