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krok68 [10]
4 years ago
12

Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.

Mathematics
1 answer:
forsale [732]4 years ago
6 0

Answer:x=1/2

Step-by-step explanation:

Divided both side by 2 first

ln x=2

Therefore x=1/2

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Which numbers should be multiplied to obtain 175^2 − 124^22?
agasfer [191]
This question seems to me to be an exercise in applying the rule for a difference of squares in order to rewrite the difference of two relatively large numbers as the "simpler" product of other integers.


175^2-124^2=(175-124)(175+124)=51\cdot299=15,249
3 0
3 years ago
How many different ways can you make 82 cents using current u.s. currency
andrew11 [14]
 <span>You can probably just work it out. 

You need non-negative integer solutions to p+5n+10d+25q = 82. 

If p = leftovers, then you simply need 5n + 10d + 25q ≤ 80. 


So this is the same as n + 2d + 5q ≤ 16 

So now you simply have to "crank out" the cases. 

Case q=0 [ n + 2d ≤ 16 ] 

Case (q=0,d=0) → n = 0 through 16 [17 possibilities] 
Case (q=0,d=1) → n = 0 through 14 [15 possibilities] 
... 
Case (q=0,d=7) → n = 0 through 2 [3 possibilities] 
Case (q=0,d=8) → n = 0 [1 possibility] 

Total from q=0 case: 1 + 3 + ... + 15 + 17 = 81 

Case q=1 [ n + 2d ≤ 11 ] 
Case (q=1,d=0) → n = 0 through 11 [12] 
Case (q=1,d=1) → n = 0 through 9 [10] 
... 
Case (q=1,d=5) → n = 0 through 1 [2] 

Total from q=1 case: 2 + 4 + ... + 10 + 12 = 42 

Case q=2 [ n + 2 ≤ 6 ] 
Case (q=2,d=0) → n = 0 through 6 [7] 
Case (q=2,d=1) → n = 0 through 4 [5] 
Case (q=2,d=2) → n = 0 through 2 [3] 
Case (q=2,d=3) → n = 0 [1] 

Total from case q=2: 1 + 3 + 5 + 7 = 16 

Case q=3 [ n + 2d ≤ 1 ] 
Here d must be 0, so there is only the case: 
Case (q=3,d=0) → n = 0 through 1 [2] 

So the case q=3 only has 2. 

Grand total: 2 + 16 + 42 + 81 = 141 </span>
3 0
3 years ago
Please helppppppppppppp
STatiana [176]

Answer:

275 miles

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help please need answer fast
Kazeer [188]
The answer is B because A+B = your new set of numbers
7 0
3 years ago
n T = 456 − 3 The equation above is used to model the relationship between the number of cups, n, of hot chocolate sold per day
Svetradugi [14.3K]

Answer:

3 represents: For every decrease of 1°F, three more cups of hot chocolate will be sold.

Step-by-step explanation:

Consider the provided equation.

N= 456-3 T

The relationship between the number of cups, n, of hot chocolate sold per day in a coffee shop and the average daily temperature, T, in degrees Fahrenheit.

The provided equation can be written as:

N= -3T+456

If we observe we can find that the above model is same as the slope intercept form y=mx+c. Where m is the slope.

Therefore, -3 represents the slope of the function.

The "minus" sign represents the slope of line is downward.

If we Substitute T=0 in provided equation we get N=456

That means when temperature is 0 degrees Fahrenheit the number of cups (N), of hot chocolate sold per day in a coffee shop is 456.

If we Substitute T=1 in provided equation we get N=453

If we Substitute T=-1 in provided equation we get N=459

Therefore, If we increase temperature the number of cups decreases.

Hence, the meaning of 3 in equation is: For every decrease of 1°F, three more cups of hot chocolate will be sold.

7 0
4 years ago
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