Penjelasan langkah demi langkah:
1)
![= 243^{\frac{2}{3} }\\= (\sqrt[3]{243})^2\\= 7^2\\= 49](https://tex.z-dn.net/?f=%3D%20243%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%7D%5C%5C%3D%20%28%5Csqrt%5B3%5D%7B243%7D%29%5E2%5C%5C%3D%207%5E2%5C%5C%3D%2049)
2) √32 +3√18-2√50
= √16*2 +3√9*2-2√25*2
= 4√2 + 3(3√2)-2(5√2)
= 4√2 + 9√2-10√2
= 13√2-10√2
= 3√2
3) 1000 ⅔×64⅙
![= (\sqrt[3]{1000}) ^2 \times (2^6)^{1/6} \\= 10^2 \times 2\\= 100 \times 2\\= 200](https://tex.z-dn.net/?f=%3D%20%28%5Csqrt%5B3%5D%7B1000%7D%29%20%5E2%20%5Ctimes%20%282%5E6%29%5E%7B1%2F6%7D%20%20%5C%5C%3D%2010%5E2%20%5Ctimes%202%5C%5C%3D%20100%20%5Ctimes%202%5C%5C%3D%20200)
4) 3/4+√2
![3/4+\sqrt{2} \\= \frac{3+4\sqrt{2} }{4 }](https://tex.z-dn.net/?f=3%2F4%2B%5Csqrt%7B2%7D%20%5C%5C%3D%20%5Cfrac%7B3%2B4%5Csqrt%7B2%7D%20%7D%7B4%20%7D)
5) 2√3×√18
= 2√3×√9*2
= 2√3×3√2
= (2*3)(√3*√2)
= 6√6
6) 12/3+√3
= 4+√3
7) √1000—2√40
= 10 -2 (√4*10)
= 10-2(2√10)
= 10 - 4√10
8) 2- ¹+3-¹
![= \frac{1}{2} + \frac{1}{3}\\ = \frac{3+2}{6}\\ = \frac{5}{6}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2B%20%5Cfrac%7B1%7D%7B3%7D%5C%5C%20%3D%20%5Cfrac%7B3%2B2%7D%7B6%7D%5C%5C%20%3D%20%5Cfrac%7B5%7D%7B6%7D)
9)
![\frac{5}{\sqrt{5} }\\ merasionalisasikan\\= \frac{5}{\sqrt{5} }\times \frac{\sqrt{5} }{\sqrt{5} }\\= \frac{5\sqrt{5} }{\sqrt{25} }\\= \frac{5\sqrt{5} }{5}\\ = \frac{\sqrt{5} }{1}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B%5Csqrt%7B5%7D%20%7D%5C%5C%20merasionalisasikan%5C%5C%3D%20%5Cfrac%7B5%7D%7B%5Csqrt%7B5%7D%20%7D%5Ctimes%20%5Cfrac%7B%5Csqrt%7B5%7D%20%7D%7B%5Csqrt%7B5%7D%20%7D%5C%5C%3D%20%5Cfrac%7B5%5Csqrt%7B5%7D%20%7D%7B%5Csqrt%7B25%7D%20%7D%5C%5C%3D%20%5Cfrac%7B5%5Csqrt%7B5%7D%20%7D%7B5%7D%5C%5C%20%3D%20%5Cfrac%7B%5Csqrt%7B5%7D%20%7D%7B1%7D)
Jika pernyataannya opsional, penyebutnya adalah 1
10) 2√3×√18
= 2√3×√9*2
= 2√3×3√2
= (2*3)(√3*√2)
= 6√6
Answer: the baby weighs 16.5 pounds
Answer:
a). Nadia made a total of $825 last week in commission sales
b). The total amount Nadia in commission in 2011=$42,900
Step-by-step explanation:
Step 1
Express the amount in commission she earns from her sales as follows;
C=S×r
where;
C=commission earned
S=total value of stock sales
r=commission rate
In our case;
C=unknown
S=$7,500
r=11%=11/100=0.11
replacing;
C=11% of 7,500
C=(11/100)×7,500
C=0.11×7,500=825
Nadia made a total of $825 last week in commission sales
b). To express the total amount she made in 2011, we derive the formula below;
Total amount (2011)=Average weekly commission×number of weeks in 2011
where;
Average weekly commission=$825
number of weeks in 2011=52
replacing;
Total amount (2011)=(825×52)=42,900
The total amount Nadia in commission in 2011=$42,900
Answer:
The corresponding point is (-4.-1)
Step-by-step explanation:
we know that
The point (-4,2) is on the graph of f(x)
so
For x=-4
f(x)=2
therefore
For x=-4
-(1/2)f(x)=-(1/2)*2=-1
The corresponding point is (-4.-1)
Answer:
helloooooo
Step-by-step explanation: