Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Estimate the value of 101.4^0.5 +6.43^0 x 7.99^(2/3)

I’m not really sure of the answer, if you know, please tell me.

Sagot :

durua2

Answer:

14

Step-by-step explanation:

101.4^0.5 = 10.0697 etc

it says estimate so I'm going to round that to 10

6.43^0 Anything with an exponent of 0 = 1

7.99^(2/3) = 3.9966 etc you can round that to 4

Put in the values:

10 + 1 × 4

Use PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

We have to multiply 1 × 4 which is 4

We're left with 10 + 4 which is 14

semsee45

Answer:

14

Step-by-step explanation:

[tex]\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23}[/tex]

  • [tex]\sf a^{0.5}=\sqrt{a}[/tex]  so round 101.4 to 100 as the square root of 100 is easy to calculate mentally
  • [tex]\sf a^0=1[/tex] so [tex]\sf 6.43^0=1[/tex]
  • 7.99 ≈ 8
  • [tex]\sf a^{\frac23}=(a^{\frac13})^2[/tex]
  • [tex]\sf8^{\frac13}[/tex] = the number that you cube to get 8

[tex]\begin{aligned}\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23} & = \sf \sqrt{100} +1 \times8^{\frac23}\\\sf & = \sf 10 + (8^{\frac13})^2\\& = \sf 10 + (2)^2\\& = \sf 10 + 4\\& = \sf 14\end{aligned}[/tex]

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.