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xz_007 [3.2K]
3 years ago
13

An aquarium tank holds 39 gallons of water. How much is this in liters? Use the following conversion: 1 gallon is 3.8 liters.

Mathematics
2 answers:
erastova [34]3 years ago
3 0
3.8 liters times 1 is 1 gallon 3.8 liters times 39 is 39 gallons 3.8 times 39 is 148.2 liters
pav-90 [236]3 years ago
3 0
148.2 liters is your answer
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About how much difference in average leaf width would you find in two forests whose average annual rainfalls are near 1500 mm bu
goblinko [34]

Answer:

4.80 mm to 2 d.p

Step-by-step explanation:

w = f(r)

f'(r) = (dw/dr) = (0.0218 mm/mm)

So, for a small difference in rainfall of 220 mm, what is the corresponding small difference in width of leaves in the two forests given.

One definition of a derivative or a rate of change is that it is the ratio of very small differences in the dependent variable to very small differences in the independent variable.

Mathematically,

(dw/dr) = (Δw/Δr) for very small Δw and Δr.

0.0218 = (Δw/220)

Δw = 0.0218 × 220 = 4.796 mm = 4.80 mm to 2 d.p

Hope this Helps!!!

5 0
3 years ago
Select the prime number in each exercise <br> 37, 38, 39, 40, 42
olga nikolaevna [1]

Answer:

37 is prime number

Step-by-step explanation:

To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number. If you do, it can't be a prime number. If you don't get a whole number, next try dividing it by prime numbers: 3, 5, 7, 11 (9 is divisible by 3) and so on, always dividing by a prime number 

7 0
2 years ago
Read 2 more answers
Let f(x)=x+a/x+b such that f(f(1)=0 &amp; f(2)=-3 then a&amp;b resctivily are.
Yuliya22 [10]

Answer:

The value of a = - 1  ,   And b = \frac{ - 7 }{3}    

Step-by-step explanation:

Given as :

Function f(x) = \frac{(x + a)}{(x + b)}

And f(f(1)) = 0     And f(2) = - 3

Now For , x = 2 , y = - 3

I.e  f(2) = \frac{(2 + a)}{(2 + b)}

or,  - 3 = \frac{(2 + a)}{(2 + b)}

I.e 2 + a = - 6 - 3b

Or, a + 3b = - 8               ....... 1

Again  f(f(1)) = 0

So,  \frac{(1 + a)}{(1 + b)} = 0

Or,  1 + a = 0

∴    a = - 1

So , put htis value of a i n eq 1 , we get value of  b

So , - 1 + 3b = - 8

Or,   3b = - 7

∴       b = \frac{ - 7 }{3}

Hence The value of a = - 1  ,   And b = \frac{ - 7 }{3}    Answer

3 0
3 years ago
A line with a slope of -2/5 that passes through the point (-10,8)
slamgirl [31]

Step-by-step explanation:

m =  -  \frac{2}{3}  \\ ( - 10 ,\: 8) = (x_1,y_1)

y-y_1=m(x-x_1)

Plug in the values into the equation

y - 8 =  -  \frac{2}{3} (x - ( - 10)) \\ y - 8 =  -  \frac{2}{3}( x + 10) \\

y - 8 =  -  \frac{2}{3} x  -  \frac{20}{ 3 }  \\ y =  -  \frac{2}{3} x -  \frac{20}{3}  + 8 \\

y =  -  \frac{2}{3} x +  \frac{4}{3}

To solve for x-intercept , Arrange the values in

ax + by + c = 0

=

-  \frac{2}{3} x - y +  \frac{4}{3}  = 0

To find x-intercept .let y = 0 in the above equation

-  \frac{2}{3} x - y +  \frac{4}{3}  = 0 \\  -  \frac{2}{3} x - 0 +  \frac{4}{3}  = 0 \\

-  \frac{2}{3} x +  \frac{4}{3}  = 0 \\  -  \frac{2}{3} x =  -  \frac{4}{3}

Solve for x ;

x = 2

To find y intercept , let x = 0

and solve for y .

I hope it helps <3

7 0
3 years ago
Read 2 more answers
a man used $3 to pay for 16 postage stamps. x of them are 15 cents each and the rest are 20 cents each. a) Write down an equatio
Vaselesa [24]

Answer:

Step-by-step explanation:

x = 15 cent stamps

y = 20 cent stamps

I will be using these equations

x + y = 16

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x = 16 - y

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y = 0.60/0.05

y = 12.......there were 12 twenty cent stamps

x + y = 16

x + 12 = 16

x = 16 - 12

x = 4.....there were 4 fifteen cent stamps

no change is received

7 0
3 years ago
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