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Verdich [7]
3 years ago
10

Simplify:

xFormula1" title=" \sqrt{ - 9} \times \sqrt{ - 16} " alt=" \sqrt{ - 9} \times \sqrt{ - 16} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0
Answer:
-12

Explanation:
Because negative numbers are impossible to simplify, we must use imaginary numbers. i=root -1. So, for example to simplify root -9, separate this into root 9 times root -1 which becomes root 9 times i, simplifying to 3i. Repeat this for root -16 to have 3i times 4i. Multiply and get 12i^2. Then, simplify to 12 times -1 because i^2 is root -1 times root -1 making -1. Finally, the answer is -12.
I apologize for this sloppy explanation as I am currently short on time. If you have any questions feel free to ask in the comments and I will try to answer them later!
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9^2= 9.5^2 + 4^2 - 2 (9.5) (4) (cosR)<br><br> I'm trying to find out the angle measure of R
alexandr402 [8]
Sorry I can't solve it.

Firstly, the equation is wrong. It is supposed to be <span>81 ≠ </span><span>30.25

Second of all, this is the best I got </span>81= <span><span>−<span>76 <span>(<span>cos<span>(r) </span></span></span></span></span>+ <span>106.25</span></span>
5 0
3 years ago
How do i calculate this? PV = 100,000(1+0.03)
meriva

Answer:

  103,000

Step-by-step explanation:

Use your knowledge of decimal arithmetic. Or, use a calculator.

  100,000(1 +.03) = 100,000·1.03 = 1000·103 = 103,000

5 0
3 years ago
4b - a if a=2 b=4 find its answer
romanna [79]

Answer:

14

Step-by-step explanation:

if b=4 and a=2, then you substitute both those values into the equation, turning (4b - a) into (4*4 - 2), then you use order of operations, meaning you multiply the 4 times the 4, which turns it into 16-2, and then subtract 2 to finally reach your answer of 14.

5 0
3 years ago
For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b
dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by H = 1,500e^{0.053t} where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute H=4,000 in our given formula and solve for t as:

4,000= 1,500e^{0.053t}

\frac{4,000}{1,500}=\frac{ 1,500e^{0.053t}}{1,500}

\frac{8}{3}=e^{0.053t}

e^{0.053t}=\frac{8}{3}

Take natural log of both sides:

\text{ln}(e^{0.053t})=\text{ln}(\frac{8}{3})

0.053t\cdot \text{ln}(e)=\text{ln}(\frac{8}{3})

0.053t\cdot (1)=0.9808292530117262

\frac{0.053t}{0.053}=\frac{0.9808292530117262}{0.053}

t=18.506212320

So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

2000+18.5=2018.5

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.

7 0
4 years ago
The elevator at the state capital has a maximum weight capacity of 2000 pounds. If there are 3
Korolek [52]

Answer:

Step-by-step explanation:

Maximum capacity of the elevator = 2000 pounds

Combined weight of the elevator = 428 pounds

A). Let the possible weights that can be added to the elevator = w pounds

B). Therefore, inequality representing this situation will be,

    428 + w < 2000

C). By solving the given inequality,

    (428 + w) - 428 < 2000 - 428

    w < 1572 pounds

    Now we draw this inequality on a number line.

3 0
3 years ago
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