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Mariana [72]
2 years ago
7

How do you convert decimals between standard and expanded form

Mathematics
2 answers:
nordsb [41]2 years ago
7 0

Answer:

Heres how:

Step-by-step explanation:

Example, 7.831 , here you can see that there are 3 numbers relating to a decimal. the 1 by itself is 0.1000, 3 by itself is 0.300, and the 8 by itself is 0.80 . If you add this, you get 0.831. now add the whole number, Seven. if there is more digits in the decimal, then just add another zero.

Bess [88]2 years ago
7 0

Answer:

Heres how:

Step-by-step explanation:

Example, 7.831 , here you can see that there are 3 numbers relating to a decimal. the 1 by itself is 0.1000, 3 by itself is 0.300, and the 8 by itself is 0.80 . If you add this, you get 0.831. now add the whole number, Seven. if there is more digits in the decimal, then just add another zero.

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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

Therefore after 10 hours 24.66 mg of the medicine will still remain in the system.
3 0
3 years ago
PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE R
lesya692 [45]

Answer: Here I simplified it and I think its right.

Step-by-step explanation:

7 0
2 years ago
Helllpppp please!!! Will crown people!!
Rudiy27
The answer is (-1,4) or C.
Hope this helps and have a good day!
4 0
3 years ago
Read 2 more answers
What is the answer to EVAULATE 8+-9+-6
LenKa [72]

Answer:

11

Step-by-step explanation:

8 + 9 + -6

8 + 9 = 17

17 + (-6) = 11

Answered by Gauthmath

6 0
3 years ago
A rectangular solid has width w, a length of 7 more than the width, and a height that is equivalent to 15 decreased by 3 times t
dexar [7]

Answer:

For a rectangular solid with:

width = w

length = l

height = h

The volume is equal to:

V = w*l*h

in this case we know that:

width = w.

"length of 7 more than the width"

l = w + 7.

"a height that is equivalent to 15 decreased by 3 times the width."

h = 15 - 3*w

Then the volume will be:

V = w*l*h = w*(w + 7)*(15 - 3w) = (w^2 + 7*w)*(15 - 3*w)

V =  ( -3*w^3 + 15*w^2 + 105*w - 21*w^2)

V = (-3*w^3 - 6*w^2 + 105*w)

Now, the maximum volume will be for the value of w such that:

V'(w) = 0.

and:

V''(W) < 0

Where:

dV/dw = V'(w).

dV'/dw = V''(w)

Then first we need to differentiate the equation for the volume.

V'(w) = dV/dw = ( 3*(-3*w^2) + 2*(-6*w) + 105)

V'(w) = -9*w^2 - 12*w + 105.

Then we need to find the solution for:

-9*w^2 - 12*w + 105 = 0.

We can use the Bhaskara formula, and we will get:

w = \frac{+12 +-\sqrt{(-12)^2 - 4*(-9)*105} }{2*-9}  = \frac{+12 +- 62.6}{-18}

Then the two solutions are:

w₁ = (+12 - 62.6)/(-18) = 2.81

w₂ = (+12 + 62.6)/(-18) = -15.5

But we can not have a negative width, so we can just discard the second solution.

Now let's check the second condition for the maximum, we must have:

V''(2.81) < 0.

V'' = dV'/dw = 2*(-9*w) - 12 = -18*w - 12

V''(2.81) = -18*2.81 - 12 = -62.58 < 0 .

Then the volume is maximized when w = 2.81, and the maximum volume will be:

V(2.81) =  (-3*(2.81)^3 - 6*(2.81)^2 + 105*2.81) = 180.1

 

8 0
3 years ago
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