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Vlada [557]
3 years ago
10

On a mountain, the temperature decreases by 6.5 °C for every 1000 metres increase in height. At 2000 metres the temperature is 1

0 °C. Find the temperature at 6000 metres
Mathematics
1 answer:
LekaFEV [45]3 years ago
3 0

Answer:

30 degree c

Step-by-step explanation:

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Please help me
Ne4ueva [31]

Answer:Answer:I can't read or see it

Step-by-step explanation:Answer:I can't read or see it

8 0
3 years ago
If $x$, $y$, and $z$ are positive integers such that $6xyz+30xy+21xz+2yz+105x+10y+7z=812$, find $x+y+z$.
harina [27]

Answer:

10

Step-by-step explanation:

When we simplify we get $$z(6xy+21x+2y+7)+30xy+105x+10y=812.$$

Then we continue to factor to get: (z+5)(6xy+21x+2y+7)&=847.

We then see that we can factor (6xy+21x+2y+7) into (z+5)(3x+1)(2y+7)&=847.

we then do the prime factorization of 847, which i think is,  7*11*11. we have to find the numbers that multiply to 847 and then plug them into z+5, 3x=1,2y+7.

It has to be a positive, non-negative integer, right?

We also see that 3x+1=11 so we see that x=10/3 (which wont work).

So 3x+1=7, so x=2.

So 11 has to be in another term. It has to be in 2y+7=11 so y=2

for the last term we get z+5=11 so z=6

2+2+6=10

Hope this helps and if you want please consider giving me brainliest. :)

8 0
4 years ago
Jack likes to go fishing. While waiting for the fishes to bite, he formulates the following model for the process: fishes bite a
gogolik [260]

Answer:

a) 0.122

b) 3.35 × 10⁻⁴

c) 0.1071

Step-by-step explanation:

Here we have the Poisson process given by

P(N(t) = k) = \frac{e^{-\lambda t} (\lambda t)^k }{k!}

Where:

λ = Rate = 4 bites/hour and

t = Length of time that is

Mean = λt

Where k = 6 fishes bites and t = 2 hours we have

P(N(2) = 6) = \frac{e^{-4 \times 2} (4 \times 2)^6 }{6!} = 0.122

b) The probability that he fails to catch any fishes during the first two hours is the probability t that he catches 0 fish as follows

P(N(2) = 0) = \frac{e^{-4 \times 2} (4 \times 2)^0 }{0!} = 3.35 \times 10^{-4}

(c) Here we have

P(N(2) = 6) =  0.122

For 1 fish caught in two times we have first time no fish and second time he caches a fish gives

0.122×(1-0.122) = 0.1071

4 0
3 years ago
The length of a rectangle is 5 units more than the width. The area of the rectangle is 36 units. What is the length, in units, o
sergey [27]

Answer:

11 units

Step-by-step explanation:

Let's do it this way:

Length = l

width = w

initial equation for area is l * w

We know that l = w+5

substitute.

w+5 * w = 36

solve.

6w = 36

w=6

The width is 6 units.

6+5 = 11

length = 11 units

7 0
4 years ago
Read 2 more answers
Evaluate this equation: (7^6)⋅(7^−6)
Artyom0805 [142]
The answer is:  " 1 " .
___________________________
Explanation:
_____________________________

7⁶ * 7⁻⁶ = 7⁽⁶⁺⁽⁻⁶⁾⁾ = 7⁽⁶⁻⁶⁾ = 7⁰ = 1 .  The answer is:  "1" .
__________________________________________
Note the following properties of exponents:
__________________________________________
 
1)     xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;

2)   x⁰ = 1 ;  (x ≠ 0) ; 
__________________________________________
3 0
4 years ago
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