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Burka [1]
1 year ago
6

Suppose y varies directly as x², and y = 160 when x = 4. Find y when x = 6.

Mathematics
1 answer:
labwork [276]1 year ago
7 0

<u>Finding the constant of proportionality</u> :

  • y = kx²
  • 160 = k(4)²
  • k = 10

<u>Finding y when x = 6</u> :

  • y = 10(6)²
  • y = 10(36)
  • y = 360

The value of y is <u>360</u> when x = 6.

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Which of the following expressions has a value between 5 and 6.
Airida [17]
So listen to this logic
lets say you have 3 numbers, m,a,x where they are all positivie
m>a>x
therefor
m^2>a>2>x^2
if m and a and x are square roots, therefor we can reverse the square root
confusing sorry

square 5 and 6
5^2=25
6^2=36

the number betwe 25 and 36

that would be 32

answer is √32

goes like this
5^2<32<6^2
sqrt both sides
5<√32<6

answer is √32
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WILL GIVE BRAINLIEST
Evgesh-ka [11]
All you have to do is plug in the given values into the given equation and evaluate.

The expression is,

A(t) =  l{e}^{rt}
But we have to analyze the problem carefully. This is a natural phenomenon that can be modelled by a decay function. The reason is that, after every hour we expect the medicine in the blood to keep reducing.

Therefore we use the decay function rather. This is given by,


A(t) =  l{e}^{-rt}

where,

l = 100 \: milligrams

r =  \frac{14}{100}  = 0.14

and

t = 10 \: hours

On substitution, we obtain;

A(10) =  100 \times {e}^{ - 0.14 \times 10}


A(10) =  100 \times {e}^{ - 1.4}



Now, we take our calculators and look for the constant
e

,then type e raised to exponent of -1.4. If you are using a scientific or programmable calculator you will find this constant as a secondary function. Remember it is the base of the Natural logarithm.



If everything goes well, you should obtain;

A(10) =  100 \times 0.24659639


This implies that,


A(10) =  24.66

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Estimate the square root to the nearest integer. -51
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Answer:

49

Step-by-step explanation:

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