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Ostrovityanka [42]
3 years ago
12

Solve 7e^(2x)-5>58. Round to the nearest hundredth.

Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0

Answer:

x\gtrapprox1.1

Step-by-step explanation:

7e^{2x}-5>58

7e^{2x}>63

e^{2x}>9

2x>ln(9)

x>\frac{ln(9)}{2}

x\gtrapprox1.1

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How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?
lys-0071 [83]

Answer:

630.

Step-by-step explanation:

<u>Given the following data;</u>

Dimensions for cube = ¼ inches

Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4}

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4}  

Volume = 315/32 inches

Therefore, to find the amount of cubes;

Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube}

Substituting into the equation, we have;

Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}}

Number \; of \; cubes = \frac {315}{32} * 64

Number \; of \; cubes = 315 * 2

Number of cubes = 630

6 0
3 years ago
Read 2 more answers
Charles is walking arounda fountain that has a circumference of 124ft .what is the diameter of the fountain?
Dovator [93]
Hello.

To find the diameter you use this equation:
Radias<span>cm x 2/pie
</span>
So it would be 124=π*d
d=124/π

So the answer would be :
d=39.47=39.4 feet

Have a nice day
6 0
3 years ago
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35 POINTS !!!!!!! PLEASE HELP VERY SOON I NEED HELP NOW
Sav [38]

Answer:

It's DCAA!

1) 14

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4 0
3 years ago
54 thousands 6 hundreds 12 tens – 15 thousands 8 hundreds 26 tens = ________(1 Point)
Afina-wow [57]

Answer:

38,660

Step-by-step explanation:

54 thousands 6 hundreds 12 tens – 15 thousands 8 hundreds 26 tens

54 thousands = 54000

6 hundreds = 600

12 ten = 12*10 = 120

54 thousands 6 hundreds 12 tens = 54000+600+120 = 54720

15 thousands = 15000

8 hundreds = 800

26 tens = 26*10 = 260

15 thousands 8 hundreds 26 tens = 15000+800+260 = 16060

Thus,

54 thousands 6 hundreds 12 tens – 15 thousands 8 hundreds 26 tens

= 54720- 16060 = 38,660 (Answer)

3 0
3 years ago
How do i add 6.75 &amp; 3.75?​
Stella [2.4K]

Answer:

It's like adding whole numbers, but with a dot. add 75+75=150

Because 150 is more than 100, you add the 1 to the whole numbers, the 6 and the 3. Add 3+6+1=10

So your answer is 10.5

3 0
3 years ago
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