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Pani-rosa [81]
2 years ago
11

Describe how to transform the quantity of the third root of x to the fourth power, to the fifth power into an expression with a

rational exponent. Make sure you respond with complete sentences
Mathematics
1 answer:
Novosadov [1.4K]2 years ago
8 0

Answer:

x^{\frac{20}{3} }

Step-by-step explanation:

To write: third root of x to the fourth power, to the fifth power into an expression with a rational exponent

Solution:

Exponent refers to the number of times a number is multiplied to itself.

Exponent is sometimes also known as power.

Third roots of x=x^{\frac{1}{3} }

Third root of x to the fourth power(x^{\frac{1}{3} })^4 =x^{\frac{4}{3} }

Third root of x to the fourth power, to the fifth power=(x^{\frac{4}{3} })^5= x^{\frac{20}{3} }

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A standard city block in Manhattan is a rectangle measuring 80 m by 270 m. A resident wants to get from one corner of a block to
kondor19780726 [428]

Answer:

68.4 meters shorter

Step-by-step explanation:

ok so you want to compare the distance  80 m + 270 m with the diagonal length.

the diagonal length =  root ( 80^2   +  270^2 )

diagonal length = root(6400 +  72900)

diagonal = root(79300) =281.602 m

so.

350 - 281.602 = 68.397 meters  about  68.4 meters  shorter than walking around

5 0
2 years ago
Given log Subscript 4 Baseline 3 almost-equals 0.792 and log Subscript 4 Baseline 21 almost-equals 2.196, what is log Subscript
defon

Answer:

Step-by-step explanation:

The following is the logarithm quotient rule:

log_{c}{a / b} = log_{c}{a} - log_{c}{b}

Plugging in the values we have above gives us the following:

log_{4}{21 / 3} = log_{4}{21} - log_{4}{3}

log_{4}{7} = 2.196 - 0.792

log_{4}{7} = 1.404

6 0
2 years ago
Read 2 more answers
A. A farmer irrigates her fields with 120,000 cubic yards of water. She has a 1,000-acre farm. How
horsena [70]

Answer:

120 cc yards of water

Step-by-step explanation:

A farmer has 1,000-acre farm. And she irrigates her fields with 120,000 cubic yards of water. We are asked to find how many cubic feet of water does she apply per acre?

1000 acre is irrigated by = 120000 cc yard of water

Hence 1 Acre is irrigated by

= \frac{120000}{1000} cc yards of water

Hence 1 Acre is irrigated by 120 cc yards of water .

8 0
2 years ago
In 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to com
PtichkaEL [24]

Answer:

The probability that exactly 97 of them finished the marathon​ is 0.221.

Step-by-step explanation:

We are given that in 2019, approximately 97.4% of all the runners who started the Boston Marathon were able to complete the 42.2 km race.

100 runners are chosen at random.

The above situation can be represented through the binomial distribution;

P(X = x) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x = 0,1,2,3,......

where, n = number of trials(or samples) taken = 100 runners

           r = number of success = exactly 97

           p = probability of success which in our question is the probability

                 that runners finished the marathon​, i.e; p = 0.974

So, X ~ Binom(n = 100, p = 0.974)

Now, the probability that exactly 97 of them finished the marathon​ is given by = P(X = 97)

         P(X = 97) = \binom{100}{97} \times 0.974^{97} \times (1-0.974)^{100-97}

                          = 161700 \times 0.974^{97} \times 0.026^{3}

                          = 0.221

Hence, the required probability is 0.221.

6 0
2 years ago
terry wants to buy 3 eggplants. The eggplants weigh a total of 3 3/4 pounds. about how much will the eggplants cost?
Mrrafil [7]

You are required to find the weight of each eggplant

The weight of each eggplant is 5/4 pounds

Let

Number of eggplant = 3

Total <em>Weight</em> of eggplant = 3 3/4 pounds

Weight of each eggplant = Total Weight of eggplant ÷ Number of eggplant

= 3 3/4 ÷ 3

= 15/4 ÷ 3

= 15/4 × 1/3

= (15 × 1) / (4 × 3)

= 15/12

= 5/4 pounds

Weight of each eggplant = <em>5/4 pounds</em>

Read more:

brainly.com/question/18549782

8 0
1 year ago
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