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Gnoma [55]
3 years ago
8

Karey is prescribed 600 mg of a medication that decays at a rate of 40% per day, d, according to the equation

Mathematics
1 answer:
andre [41]3 years ago
4 0

Answer : 7.8%

Karey is prescribed 600 mg of a medication that decays at a rate of 40% per day, d, according to the equation

m=600(0.6)^d

Noelle takes same amount before 5 days.

Amount of medication remain in Nelle's body is

m=600(0.6)^5 = 46.656

Karey is prescribed 600 mg of a medication

We need to find out what percentage of 46.656 in 600

\frac{46.656}{600} =0.07776

Now multiply it by 100 to get percentage

0.07776 * 100 = 7.8%

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OleMash [197]

Answer:

sinθ = 5/13

cosθ = 12/13

tanθ = 5/12

Step-by-step explanation:

Get the remaining side(hypotenuse) first,

hypotenuse^2 = 12^2 + 5^2  (Pyth. theorem)

hypotenuse = 13

sinθ = 5/13

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tanθ = 5/12

6 0
2 years ago
A^2−8ab+16b^2=81, find a–4b
neonofarm [45]

Answer:

-9, 9

Step-by-step explanation:

a² − 8ab + 16b² = 81

(a - 4b)² = 81      Wrote the left-hand side as a square

 a - 4b = ±9     Took the square root of each side

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3 years ago
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LenKa [72]

Answer:

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Step-by-step explanation:

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Pythagorean theorem says that a^2 + b^2 = c^2

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2 years ago
Help asap show work
katovenus [111]

Answer:  see below

<u>Step-by-step explanation:</u>

17) 5n - 3 > -2n + 4     and    9 - 4n ≥ -2n + 1

   <u> +2n   </u>    <u> +2n      </u>              <u>    +2n </u>   <u>+2n      </u>

   7n - 3   >     4                    9 - 2n  ≥       1

        +3         +3                  -9                 -9

    7n       >      7                       -2n   ≥     -8

  <u> ÷7     </u>    <u>     ÷7  </u>                   <u> ÷ -2 </u>  ↓  <u> ÷ -2 </u>

          n  >     1         and            n   ≤   4                  

Graph:   o----------------- ·

              1                     4

18) 9k - 2 ≤ 9 + 10k < 9 - 4k

     9k - 2 ≤ 9 + 10k      and     9 + 10k < 9 - 4k

  <u> -10k     </u>    <u>     -10k </u>               <u>       +4k </u>   <u>    +4k  </u>

     -k - 2 ≤ 9                             9 + 14k < 9

   <u>      +2</u>   <u>+2         </u>                 <u> -9          </u>  <u>-9         </u>

     -k      ≤  11                                  14k  <  0

 <u> ÷ -1    </u>   ↓<u> ÷ -1  </u>                      <u>       ÷14 </u>    <u>÷14      </u>

          k  ≥ -11                and               k < 0

Graph:    · -----------------o

              -11                  0    

19) 4 - n ≤ 10 + 5n ≤ 6n + 1

     4 - n ≤ 10 + 5n       and     10 + 5n ≤  6n + 1

   <u>    -5n </u>   <u>      -5n  </u>                 <u>      -6n </u>   <u>-6n     </u>

   4 - 6n ≤ 10                           10  -  n  ≤       1    

  <u>-4        </u>  <u> -4            </u>              <u> -10        </u>    <u>  -10  </u>

        -6n ≤ 6                                    -n ≤   -9

   <u>  ÷ -6   </u>↓ <u>÷ -6     </u>                    <u>    ÷ -1 </u>↓<u> ÷ -1    </u>

           n ≥ -1              and                 n ≥ 9

Graph:    · -----------------→

              -9                  

20) 4p - 5 ≤ 2p + 9 ≤ 4p + 7

     4p - 5 ≤ 2p + 9     and     2p + 9 ≤ 4p + 7

  <u> -2p       </u>   <u>-2p    </u>                 <u> -4p    </u>   <u>-4p      </u>

    2p - 5 ≤         9                -2p + 9  ≤        7    

    <u>      +5   </u>  <u>    +5    </u>             <u>        -9  </u>    <u>     -9  </u>

       2p  ≤       14                   -2p       ≤      -2

   <u>  ÷ 2   </u>   <u>    ÷ 2     </u>               <u>÷ -2    </u> ↓<u>    ÷ -2    </u>

         p ≤       7          and         p    ≥      1

Graph:    · ----------------- ·

              1                    7

6 0
3 years ago
As you move up a linear demand​ curve, the price elasticity of demand in absolute value A. decreases. B. increases. C. stays the
Andreyy89

Answer:

The answers to the questions are;

B. increases.  

C. ​inelastic; increase.

Step-by-step explanation:

The price elasticity of demand for a linear demand in absolute value curve becomes smaller and smaller as we move downwards of the curve.

When the price elasticity of demand is calculated along a linear demand curve. This is so as for each pair of points at which the price elasticity of demand is calculated, the quantity demanded and the price change are somewhat  similar, but as we move towards the top of the demand curve, the high prices and the low quantities shows the increase in demand elasticity.

Also in the inelastic region, as it can be shown by the areas of the rectangles formed by to adjacent price points, increase in price, increases the total revenue.

6 0
3 years ago
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