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Natali5045456 [20]
3 years ago
11

Which expression is equivalent to (x⁴/³ x²/³)¹/³ x²/⁹ x²/³ x⁸/²7 x⁷/³

Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0

Answer:

it really depends on what x =

Step-by-step explanation:

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What is the geometric mean of 6 and 7
andriy [413]
The answer is 6.5 - you add 6 and 7 together and then you divide them by two

8 0
3 years ago
Read 2 more answers
The inequality x + 2y ≥ 3 is satisfied by point (1, 1).<br> True<br> False
andre [41]
In the given statement above, in this case, the answer would be TRUE. It is true that the  inequality x + 2y ≥ 3 is satisfied by point (1, 1). In order to prove this, we just have to plug in the values. 1 + 2(1) <span> ≥ 3 
So the result is 1 + 2 </span> ≥ 3. 3 <span> ≥ 3, which makes it true, because it states that it is "more than or equal to", therefore, our answer is true. Hope this answer helps.</span>
7 0
3 years ago
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Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview
svetlana [45]

Answer:  The required solution is

y=(-2+t)e^{-5t}.

Step-by-step explanation:   We are given to solve the following differential equation :

y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let us consider that

y=e^{mt} be an auxiliary solution of equation (i).

Then, we have

y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.

Substituting these values in equation (i), we get

m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.

So, the general solution of the given equation is

y(t)=(A+Bt)e^{-5t}.

Differentiating with respect to t, we get

y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.

According to the given conditions, we have

y(0)=-2\\\\\Rightarrow A=-2

and

y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.

Thus, the required solution is

y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.

6 0
3 years ago
I don’t understand how to find the dimension,<br> Need help :c
slava [35]

Width = W

Length = 2 times the width plus 3 feet = 2W + 3

Area of triangle A = L * W

A = W (2W + 3)

20 = 2W^2 + 3W

2W^2 + 3W - 20 = 0

(W + 4) (2W - 5) = 0

W + 4 = 0; W = - 4 (width cannot be negative, excluded)

2W - 5 = 0

2W = 5

W = 2.5

L = 2W + 3 = 2(2.5) + 3 = 8

Answer:

Width = 2.5 feet and Length = 8 feet

Hope it helps.

8 0
3 years ago
In 1970, the average length of a major league baseball game was 150 minutes compared to 180 minutes in 2018. Calculate the absol
Pavlova-9 [17]

Answer:

  • 30 min
  • 20%

Step-by-step explanation:

The absolute change in game length is ...

  (180 min) -(150 min) = 30 min . . . . change in game length

__

The relative change is expressed as a fraction of the original game length:

  (30 min)/(150 min) × 100% = 20% . . . . relative change in game length

6 0
3 years ago
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