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Alexxandr [17]
4 years ago
8

Which radical expression represents the difference between the expressions 4 50 + 4 12 − 2 27 and 2 3 ? A) 20 2 B) 20 2 − 2 3 C)

20 2 + 2 3 D) 20 2 + 8 3
Mathematics
1 answer:
Tcecarenko [31]4 years ago
8 0

Answer:

A 20 sqrt(2)

Step-by-step explanation:

4 sqrt(50) + 4 sqrt(12) - 2 sqrt(27)  minus 2 sqrt(3)

We know that sqrt(a) sqrt(b) = sqrt(ab)

this is the first expression

4 sqrt(25)sqrt(2)  + 4 sqrt(4)sqrt(3) - 2 sqrt(9)sqrt(3)

4*5sqrt(2) + 4*2 sqrt(3) - 2*3 sqrt(3)

20 sqrt(2) +8 sqrt(3)-6sqrt(3)

20 sqrt(2) +2 sqrt(3)

Now we subtract 2 sqrt(3) from the above expression

20 sqrt(2) +2 sqrt(3)  - 2 sqrt(3)

20 sqrt(2)

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The Royal Fruit Company produces two types of fruit drinks. The first type is 35% pure fruit juice, and the second type is 100%
laiz [17]

Answer:

first type of fruit juice (35%) = 4

second type of fruit juice (100%) = 4

Step-by-step explanation:

4×35 = 140

4×100 = 400

400-140 = 260

5 0
3 years ago
-6(2v)+3a(3); v=1/3; a=2/3 what is it?
Sonja [21]
-6(2v)+3a(3); v=1/3; a=2/3

=2
4 0
3 years ago
at time t, the position of a body moving along the s-axis is s=t^3 - 12t^2 + 36t m. Find the total distance traveled by the body
NNADVOKAT [17]

Answer:

27 m

Step-by-step explanation:

The position of a body is given by :

s=t^3 - 12t^2 + 36t

We need to find the total distance traveled by the body from t=0 to t=3.

At t = 0,

s=0^3 - 12(0)^2 + 36(0)=0\ m

At t = 3 s,

s=(3)^3 - 12(3)^2 + 36(3)\\\\=27\ m

So, the total distance from t=0 to t=3 is equal to 27 m.

6 0
3 years ago
The number of concurrent users of a social networking site has increased dramatically since . By ​, this social networking site
sdas [7]

Complete question:

The number of concurrent users of a social networking site has increased dramatically since 2005. By 2014, this social networking site could connect concurrently 70 million users online. The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005, models this increase in millions of users. Estimate the number of users of this site that could be onlin concurrently in 2006, in 2010, and in 2013. Round to the nearest million users

Answer:

Kindly check explanation

Step-by-step explanation:

Given the function :

The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005

Estimate the number of users of this site that could be online concurrently in:

2006:

t = (2006 - 2005) = 1

P(t) = 2.459(1.475)^t

P(1) = 2.459(1.475)^1

P = 2.459(1.475)

= 3.627025 = 4 million users (nearest million)

2010 :

t = (2010 - 2005) = 5

P(t) = 2.459(1.475)^t

P(5) = 2.459(1.475)^5

P = 2.459(6.981682607421875)

= 17.1679575 = 17 million users (nearest million)

2013:

t = (2013 - 2005) = 8

P(t) = 2.459(1.475)^t

P(8) = 2.459(1.475)^8

P = 2.459(22.404546753)

= 55.09278 = 55 million users (nearest million)

5 0
3 years ago
If two angles are vertical angles, then they are congruent
Yuliya22 [10]

Answer:

True

Step-by-step explanation:

3 0
3 years ago
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