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yuradex [85]
3 years ago
12

2021 has already started bad each year is never good so stop saying new year good year new year same year is what y’all should b

e saying
Mathematics
1 answer:
aniked [119]3 years ago
6 0

Answer:

Don't be so negative things can turn out good this year just have faith!

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If a= 2^x and b =2^x+1; show that: 8a^3 / b^3 = 2^x+1​
kkurt [141]

Step-by-step explanation:

Given that:

a = 2ˣ

b = 2ˣ⁺¹ = 2ˣ * 2¹ = 2.2ˣ

Now,

{(8a³)/b²}

Substitute the value of x and y in expression then

= [{8(2ˣ)³}/(2.2ˣ)²]

= [(8*2³ˣ)/{2² * (2ˣ)²}]

= {(8*2³ˣ)/(4 * 2²ˣ)}

[since, (aᵐ)ⁿ = aᵐⁿ]

= {(2 * 2³ˣ)/2²ˣ}

= {(2 * 2²ˣ * 2ˣ)/2²ˣ}

[since (2a = a+a, that means 3x = 2x + x)]

= 2 * 2ˣ

= 2ˣ⁺¹

[since (aᵐ * aⁿ = aᵐ+ⁿ)]

<u>Answer:</u> Therefore, {(8a³)/b²} = 2ˣ⁺¹ .

Please let me know if you have any other.

7 0
2 years ago
A new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year. What will the value of the car be,
Mademuasel [1]

For this case we have an exponential equation of the form:

y = A (b) ^ x

Where,

  • <em>A: initial value </em>
  • <em>b: decrease rate </em>
  • <em>x: number of years </em>

Substituting values ​​in the given equation we have:

y = (173000) (0.9075 ^{15})\\y = 4034.1

Answer:

The value of the car after 15 days is given by:

y = 4034.1

4 0
4 years ago
Read 2 more answers
At a costumer service call center for a large company, the number of calls received per hour is normally distributed with a mean
Marysya12 [62]

We have been given that at a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 150 calls and a standard deviation of 5 calls. We are asked to find the probability that during a given hour of the day there will be between 146 calls and 163 calls.

First of all, we will use z-score formula to find z-score corresponding to 146 and 163.

z=\frac{x-\mu}{\sigma}

z=\frac{146-150}{5}

z=\frac{-4}{5}

z=-0.8

z=\frac{163-150}{5}

z=\frac{13}{5}

z=2.6

Our next step is to find percentage of data scores falls between both z-scores.

P(-0.8

Using normal distribution table, we will get:

P(-0.8

P(-0.8

Let us convert our answer into percentage.

0.78348\times 100\%=78.348\%

Upon rounding our answer to nearest thousandths, we will get:

78.348\%\approx 78.35\%

Therefore, the probability that during a given hour of the day there will be between 146 calls and 163 calls is approximately 78.35\%.

8 0
3 years ago
Add -8 + (-1)= <br> -7 <br> -9 <br> 9 <br> 7
sergejj [24]

Answer:

-9

hope it helped and stay safe

6 0
3 years ago
Leo bought 50 lbs of clay for his art projects. He used 12.5 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs d
ExtremeBDS [4]

Answer:

Total number of mug = 14 mugs

Step-by-step explanation:

Given:

Total amount of Clay Leo bought = 50 lbs

Total amount of Clay left = 27.42 lbs

Total amount of Clay used in sculpture = 12.5 lbs

Amount of clay each muh need = 0.72 lbs

Find;

Total number of mug

Computation:

Assume;

Total number of mug = a

So,

Total amount of Clay Leo bought = Total amount of Clay left + Total amount of Clay used in sculpture + (Amount of clay each muh need)(Amount of clay each muh need)

50 = 27.42 + 12.5 + (0.72)(a)

50 = 39.92 + (0.72)(a)

(0.72)(a) = 10.08

a = 14

Total number of mug = 14 mugs

8 0
3 years ago
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