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3 years ago

Could someone help me solve this step by step..thxx

Mathematics

2 answers:

jolli1 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

3^t=3^(1/5)

T=1/5

weqwewe [10]3 years ago

6 0

Answer:

The value of t is 1/5

Step-by-step explanation:

You can change the form of any radical by fraction power

We replace the radical and put the base with fraction power, the number of radical will be the denominator of the fraction and the power of the base will be the numerator of the fraction.

Ex: $\sqrt[n]{x^{a} }=x^{\frac{a}{n}}$

∵ $\sqrt[5]{3}=3^{\frac{1}{5} }$

∴ $3^{t}=3^{\frac{1}{5} }$

∵ Two bases are equal

∴ Their powers are equal

∴ t = 1/5

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Mariana plans to visit an amusement park where she must pay for admission and purchase tickets to go on the rides. Mariana wants

Ivanshal [37]

Answer: The number 12 represents admission charge in Mariana's equation.

Step-by-step explanation:

As per given ,

Total cost = ( Charge per ticket) (Number of tickets) + (Admission fees) (i)

For x = Number of tickets, the total cost (c) for a day at the amusement park is given as

$c = 1.50x + 12$ (ii)

Here, 12 = Admission fees [Comparing (i) and (ii)]

Hence, the number 12 represents admission charge in Mariana's equation.

3 0

2 years ago

The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec

elena-14-01-66 [18.8K]

If $S(t)$ is the amount of strontium-90 present in the area in year $t$ , and it decays at a rate of 2.5% per year, then

$S(t+1)=(1-0.025)S(t)=0.975S(t)$

Let $S(0)=s$ be the starting amount immediately after the nuclear reactor explodes. Then

$S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)$

or simply

$S(t)=0.975^ts$

So that after 50 years, the amount of strontium-90 that remains is approximately

$S(50)=0.975^{50}s\approx0.282s$

or about 28% of the original amount.

We can confirm this another way; recall the exponential decay formula,

$S(t)=se^{kt}$

where $t$ is measured in years. We're told that 2.5% of the starting amount $s$ decays after 1 year, so that

$0.975s=se^k\implies k=\ln0.975$

Then after 50 years, we have

$S(50)=se^{50k}\approx0.282s$

5 0

2 years ago

PLEASE HELP!!

baherus [9]

Answer:

How tall is he semicirlce?

Step-by-step explanation:

Then I can solve

4 0

2 years ago

Y +

Usimov [2.4K]

Question:

What is the common denominator of $y+\frac{y-3}{3}$ in the complex fraction $\frac{y+\frac{y-3}{3}}{\frac{5}{y}+\frac{2}{3 y}}$

A) $3 y(y-3)$

B) $y(y-3)$

C) $3y$

D) $3$

Answer:

Option D : 3 is the common denominator

Explanation:

It is given that the complex fraction $\frac{y+\frac{y-3}{3}}{\frac{5}{y}+\frac{2}{3 y}}$

We need to determine the common denominator of $y+\frac{y-3}{3}$ from the complex fraction.

Let us consider the fraction $y+\frac{y-3}{3}$

To find the common denominator, let us take LCM.

Thus, rewriting the above fraction as,

$\frac{y}{1} +\frac{y-3}{3}$$

The LCM can be determined by multiplying the denominators.

Thus, we get,

$1\times3=3$

Thus, the common denominator is 3.

Hence, Option D is the correct answer.

6 0

2 years ago

A smaller triangle is four times smaller than a larger triangle. If the smaller triangle has a measurement of 27.1 mm for its lo

madam [21]

Answer:

D. 108.4 mm

Step-by-step explanation:

Since the larger triangle is 4 times of the small triangle...

27.1 x 4 = 108.4 mm

5 0

2 years ago

Could someone help me solve this step by step..thxx​

Could someone help me solve this step by step..thxx