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Alja [10]
2 years ago
11

Which of the following is the solution to the equation 25(z + 4) = 125?

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
6 0
Z=1 ..................
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A mouse climbs up a well of 86 meters. It advances 14 meters during the night, but during the day it retreats 2. The mouse will
Deffense [45]

Step-by-step explanation:

we assume day and night are equally long.

and the mouse will start at night of day 1.

then, on day 2, it will first retreat 2 meters (during daylight) and then advance 14 meters (at night).

so, on every full day, the mouse will effectively advance 12 meters (-2 + 14 = 12).

with a starting value of 14 (the first night).

so, we are getting an arithmetic sequence

an = an-1 + c

c = 12 in our case.

a1 = 14

a2 = a1 + 12 = 14+12 = 26

a3 = a2 + 12 = a1 + 12 + 12 = 14 + 2×12 = 38

an = a1 + (n-1)×12 = 14 + 12(n-1)

at what n will it reach 86 ?

86 = 14 + 12(n-1) = 14 + 12n - 12 = 2 + 12n

84 = 12n

n = 7

so, on the 7th day the mouse will reach the surface (if we truly count the first starting night day 1 - this is up to your teacher, but I would).

7 0
2 years ago
Solve 3 ^ x + 6 = 3 ^ 4
aleksklad [387]

Answer:

3.93 (approx.)

Step-by-step explanation:

3 ^ x + 6 = 3 ^ 4 can be rewritten as 3 ^ x  = 3 ^ 4  -   6, or

3^x = 81 - 6  =  75.

Then 3^x = 75, or

x*ln 3 = ln 75

Solving for x:  

x = (ln 75) / (ln 3) = 3.93 (approx.)

8 0
3 years ago
Shahruk plays four games of golf. His four scores have a mean of 75, a mode of 78 and a median of 77. Work out his four scores.​
Naily [24]

Answer:

the four scores are 68, 76, 78, and 78.

Step-by-step explanation:

The mean of the four scores is 75.

So, the sum of all the four scores is equal to the product of mean and number of scores. Therefore,

Sum of scores , 'S' = Mean  Number of scores.

Now, let one of the middle scores be 'x'.

Since the number of scores is even, the median is half of the sum of the two middle terms.

Median is given as 77 and mode is 78.

So, median is given as:

As 76 is smaller than 78.

So, the 2nd score is 76 and third score is 78.

Since mode is 78, it has to be repeated more than once. So, the fourth score will also be 78.

Now, let the first score be 'y'. Therefore, the sum is given as:

Therefore, the four scores are 68, 76, 78, and 78.

8 0
2 years ago
Two numbers are unknown in the expression ⬜️ * {[(12-3)*3]+(◽️ *6)-8} If the value of the expression is 98 what are the unknown
aksik [14]
Try using 2 and 5.. 2x{[(12-3)x3]+(5x6)-8}=98
5 0
3 years ago
The measure of ∠1 =<br><br> 55<br> 62.5<br> 110
elena-s [515]
360 - 250 = 110
m<1 = 110/2 = 55

answer
55
8 0
3 years ago
Read 2 more answers
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