2 years ago

X³=343-¹ find the positive value of x that makes the equation true

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

8 0

$x^3=343^{-1}\\\\x^3=(7^3)^{-1}\\\\x^3=7^{-3}\\\\x^3=\left(\frac{1}{7}\right)^3\iff\boxed{x=\frac{1}{7}}$

You might be interested in

Which of the following explains the relationship between angles B and C? Lines JK and JM intersect at point J, creating four ang

zhenek [66]

Answer:

Adjacent angles

4 0

2 years ago

Read 2 more answers

Which three lengths could be the lengths of the sides of a triangle?

faust18 [17]

B. 10 cm, 15 cm, 24 cm

8 0

3 years ago

Jared has total of 16 coins in his piggy bank consisting of only quarters and dimes the total value of all those coins is $3.10

4vir4ik [10]

The answer to the question

4 0

3 years ago

7metros mas 9.40 metros

Tresset [83]

Answer:

I don't know

Step-by-step explanation:

4 0

2 years ago

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid

Elza [17]

Answer:

$L(t)=7600e^{0.2273t}$

Step-by-step explanation:

-The locust population grows by a factor and can therefore be modeled by an exponential function of the form:

$P=P_oe^{rt}$

Where:

$P$ is the population after t days.
$P_o$ is the initial population given as 7600
$r$ is the rate of growth
$t$ is time in days

-Given that the growth is by a factor of 5( equivalent to 500%), the r value will be 5

-The population increases by a factor of 5 every 22 days. therefore at any time instance, t will be divided by 22 to get the effective time for calculations.

Hence, the exponential growth function will be expressed as:

$P=P_oe^{rt},\ \ \ P=L(t)\\\\\therefore L(t)=7600e^{5\frac{t}{22}}\\\\=7600e^{0.2273t}$

7 0

3 years ago