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Sladkaya [172]
1 year ago
6

Combine the radicals

Mathematics
1 answer:
Ronch [10]1 year ago
4 0

The combination of radical 5√27 - 17√3 is -2 √3, so option D is correct.

<h3>What are radicals?</h3>

The opposite of an exponent, denoted by the symbol "√" and also known as the root, is a radical. The number before the symbol or radical is regarded as an index number or degree.

Given:

5√27 - 17√3

Simplify the value under roots,

5√(3 × 3 × 3) - 17√3

5 × 3 √3 - 17√3

√3 (15 - 17)

-2 √3

Therefore, the combination of radical 5√27 - 17√3 is -2 √3.

To know more about Radicals:

brainly.com/question/8020018

#SPJ1

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Jeanette can swim 45 meters in 30 seconds. How far can she probably swim in 90 seconds?
shtirl [24]
H. 135 meters

Work: 45 meters in 30 seconds 45/30= 1.5 so 90x1.5 = 135 meters
6 0
3 years ago
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The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a
patriot [66]

Answer:

Step-by-step explanation:

Hello!

Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"

X~Bi (n;ρ)

ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95

n= 390

x= 303

sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78

Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.

You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:

^ρ±Z_{1-\alpha /2}* √[(^ρ(1-^ρ))/n]

Z_{1-\alpha /2} = Z_{0.995} = 2.58

0.78±2.58* √[(0.78(1-0.78))/390]

0.0541

[0.726;0.834]

With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.

I hope it helps!

7 0
3 years ago
A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 memb
GrogVix [38]

The programs cost the same for 7 classes.

Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.

The first program charges $35 membership fee and $5 for each class.

The second program charges only $10 for each class.

Now the total cost say t_{1}, for first program can be written in equation form as,

t_{1} =35+5c,  here c is the no. of classes.

Similarly, the total cost say t_{2} , for second program can be written in equation form as,

t_{2} =10c.

We have to find out the no. of classes for which the two programs cost the same.

according to the question,

t_{1} =t_{2}

35+5c=10c\\10c-5c=35\\5c=35\\c=7

Hence for 7 of classes the programs cost the same.

For more details follow the link:

brainly.com/question/4042361

3 0
2 years ago
Read 2 more answers
Julia and carl buy 2 sandwiches,1 salad,1piece of fruit and 2 drinks for lunch.They give the cashier 20.03.What coins and bills
Sergeeva-Olga [200]

Answer:

They would recieve cents as change.

Step-by-step explanation:

They bought 2 sandwiches, 1 salad, 1 piece of fruit and 2 drinks

Total = 6 items altogether

They gave cashier cash of 20.03

Which means all items are not more 20.03

If they would receive change, it would be in cents.

4 0
3 years ago
HIGH SCHOOL MATH ....
umka21 [38]

Answer:

The value of B (base\ area) = 27m^2

Step-by-step explanation:

Let's recall the the formula for volume of a pyramid.

Volume of a Pyramid = \frac{1}{3}\times B\times H}....equation (1)

where B=Base\ area (m^2) and H=height\ (m)

Now we have been given the values of V and H and have to find the value of B

Plugging the values of V and H in equation (1)

B=\frac{3\times V}{H}= \frac{3 \times 81}{9} = 27\ m^2

Now we can also check our previous results.

V = \frac{24\times 7}{3}=8 \times 7 =56\ m^3

So, our final answer is 27\ m^2

7 0
3 years ago
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