I need help with number 3

Mathematics

1 answer:

masha68 [24]3 years ago

6 0

Answer:

Step-by-step explanation:

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Find the integer that lies between <img src="https://tex.z-dn.net/?f=%24%5Csqrt%5B3%5D%7B-45%7D%24%20and%20%24%5Csqrt%5B3%5D%7B-

Romashka-Z-Leto [24]

∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45

Similarly,

∛(-101) = - ∛101

Now,

• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4

• 5³ = 125, so ∛101 would similarly fall between 4 and 5

So to summarize, we have

3 < ∛45 < 4 < ∛101 < 5

so that

-5 < ∛(-45) < -4 < ∛(-101) < -3

so the integer between these numbers is -4.

4 0

3 years ago

Cal is measuring temperature changes in four substances over different time periods as part of a school project. Which data show

djyliett [7]

Answer:

C) The third table. K= 5

$C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5$

Step-by-step explanation:

1) Below there are the missing data:

A proportional relationship through a constant k. It is obtained when we divide:

$k=\frac{y}{x}$

2)In this case, when we divide the temperature (T) by the time (h).

$k=\frac{T}{h}$

3)So, examining the table below we are searching for a ratio k common to all measures (temperatures over hour).

$A) \frac{12}{3}\neq\frac{25}{5}\neq\frac{36}{6}\neq\frac{81}{9}\\B) \frac{22.5}{3}\neq\frac{30}{4}\neq\frac{52.5}{7}\neq\frac{67.5}{8}\\C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5\\D)\frac{8.5}{2}\neq\frac{22.5}{5}\neq\frac{28.5}{7}\neq\frac{36}{8}$