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liberstina [14]
3 years ago
12

PLEASE HELP ME!!! I don’t know the answer and I have to show my work!!!

Mathematics
2 answers:
gladu [14]3 years ago
8 0
Since the indices of the roots are the same, we can write the given expression as

fourth root of (400/5), which is "fourth root of 80."  

What are some fourth powers?

1^4=1
2^4=16
3^4= 81

Note that 16 is a factor of 80.  Therefore:

fourth power of 80 = (fourth power of 16)*(fourth power of 5)
                              = 2*(fourth power of 5)   (answer)
max2010maxim [7]3 years ago
7 0
4√400  / 4√ 5   ( both are 'fourth roots ')

= 4√ (400/5)

= 4√80

= 2.99 to nearest hundredth
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Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(O) = 2.8 y(t) =( Preview
Karolina [17]

Answer:

y=\frac{4}{5}e^{t}-\frac{4}{5}e^{-\frac{2}{5}t}

Step-by-step explanation:

The given equation 5y'' + 3y' - 2y =0 can be written as

(5D^{2}+3D-2)y(t)=0

Solving for complementary function we have Roots of (5D^{2}+3D-2) as follows

(5D^{2}+5D-2D-2)

5D(D+1)-2(D+1)=0\\\\(5D-2)(D+1)=0\\\\\therefore D=-1\\D=+2/5

Thus the complementary function becomes

y=y=c_{1}e^{m_{1}t}+c_{2}e^{m_{2}t}

where

m_{1},m_{2} are calculated roots

thus solution becomes

y=c_{1}e^{-t}+c_{2}e^{\frac{2}{5}t}

Now to solve for the coefficients we use the given boundary conditions

y(0)=0\\\\\therefore c_{1}+c_{2}=0\\\\y'(0)=-c_{1}+\frac{2}{5}c_{2}=2.8\\\\\therefore c_{2}+\frac{2}{5}c_{2}=2.8\\\\c_{2}=2\\\\\therefore c_{1}=-2}

hence the solution becomes

y=-2e^-{t}+2e^{\frac{2}{5}t}

8 0
3 years ago
Convert 28.48 to a mixed number
Mrac [35]
.48 is equal to 48/100=12/25 so

28 12/25
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3 years ago
Mrs. Walker is instructing a team of students on designing the sailboat shown. Beth is working on the smaller sail, which is a r
Pachacha [2.7K]

Answer: OPTION C.

Step-by-step explanation:

1. To solve this problem you must apply the Pythagorean Theorem, which is shown below:

a^{2}=b^{2}+c^{2}

Where a is the hypotenuse, and b and c are the legs of the triangle.

2. When you solve for one of the legs and substitute values, you obtain that the result is:

b=\sqrt{a^{2}-c^{2}}\\b=\sqrt{(24.8ft)^{2}-(8ft)^{2}}\\b=23.5ft

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3 years ago
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I can't see images.

Can you tell me what is looks like?

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Rapid Rental Car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital Cars charges $45 fo
pochemuha

Answer: y = 40 + 15 + .25x , y = 45 + .35x


Step-by-step explanation: What is your question? if your looking to put them into forms then here it is


6 0
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