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3 years ago

Which rational expression will complete the equation? 4z^5/7 (?)= z^10/14

1 answer:

7 0

Answer: The rational expression that is needed is z^5/8.

In the problem, we are starting with 4z^5/7 and multiply by something. Then, we have z^10/14.

First, let's deal with the variables. We go from z^5 to z^10, so we had to multiply by z^5.

Second, our fraction went from 4/7 to 1/14, the missing factor would be 1/8 because 4/7 times 1/8 equals 1/14.

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I NEED HELPPPPPPPPPPPPPP ITS TIMED PLEASSE HURRY AND I WILL GIVE BRAINLIESTTTTT

luda_lava [24]

Answer:

4c + 6a < = 120 ...4(20) + 6(6) = 116 <== correct

4c + 4a < = 100....4(20) + 4(6) = 104 <== incorrect

first answer choice

5 0

2 years ago

Read 2 more answers

Dinosaur fossils are often dated by using an element other than carbon, like potassium-40, that has a longer half life (in this

Firlakuza [10]

The amount of substance left of a radioactive element of half life, $t_{\frac{1}{2}}$ after a time, t, is given by:

$N(t)=N_0\left( \frac{1}{2} \right)^ \frac{t}{t_{ \frac{1}{2} }}$

Given that potassium-40 has a half life of approximately 1.25 billion years.

The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:

$0.1=100\left( \frac{1}{2} \right)^ \frac{t}{1.25}} \\ \\ \Rightarrow\left( \frac{1}{2} \right)^ \frac{t}{1.25}}=0.001 \\ \\ \Rightarrow\frac{t}{1.25}\ln\left( \frac{1}{2} \right)=\ln(0.001) \\ \\ \Rightarrow \frac{t}{1.25}= \frac{\ln(0.001)}{\ln\left( \frac{1}{2} \right)} =9.966 \\ \\ t=9.966(1.25)=12.5$

Therefore, the maximum age of a fossil that we could date using 40k is 12.5 billion years.

3 0

3 years ago

Can someone please help mee. use transformations to solve the equation. 3 2/3x = 22

gizmo_the_mogwai [7]

1. Note that

$3\dfrac{2}{3}=\dfrac{3\cdot 3+2}{3}=\dfrac{9+2}{3}=\dfrac{11}{3}.$

2. Then the equation $3\dfrac{2}{3}x=22$ can be rewritten

$\dfrac{11}{3}x=22.$

3. Solve it:

$x=22:\dfrac{11}{3},\\ \\x=22\cdot \dfrac{3}{11}=2\cdot 3=6.$

Answer: x=6

7 0

3 years ago

HELPPPP PLEASEEE!!! I NEED HELPP

zhenek [66]

Answer:

≥≤ are used when the number is less/greater or equal than some thing.

>< are used when a number is strictly less/greater than some thing.

1) a number x is less than 0 or at least 3

A number x is less than 0 is written as: x < 0.

x is at least 3 is written as: x ≥ 3.

Then we can write the statement as:

x < 0 ∨ x ≥ 3.

where ∨ means "or"

2) a number x is less than or equal to 4 and greater than -1

x less than or equal to 4 is written as: x ≤ 4

x is greater than -1 is written as: x > - 1.

We can write the statement as:

-1 < x ≤ 4

3) a number x is less than 8 and greater than or equal to 5

x is less than 8 is written as: x < 8

x is greater than or equal to 5 is written as: x ≥ 5.

Then the statement can be written as:

5 ≤ x < 8,

6 0

2 years ago

Determine the density in g/cm3 of a mineral that has a volume of 3.8 cm3 and a mass of 22.4 g.

kherson [118]

Answer:

5.89 g/cm³

Step-by-step explanation:

givens,

Mass = 22.4 g

volume = 3.8 cm³

Density = mass / volume

= 22.4 / 3.8

= 5.89 g/cm³

4 0

3 years ago