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Ksivusya [100]
3 years ago
13

Answer the following..

Mathematics
2 answers:
Greeley [361]3 years ago
8 0

1. 25%

2. 24.5

3. 66.666666666667%

Have a good day! :)

andreyandreev [35.5K]3 years ago
4 0
25%
24.5%
66.666666666667%
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ok

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a red hot ar balloon is 100 feet off the ground and is rising at a rate of 8 feet per second. a green hot air balloon is 160 fee
zhenek [66]

Answer:

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Step-by-step explanation:

see if you just simply took out a calculator you would see its not possible unless you knew what the balloon is descending at during the fraction of the seconds

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3 years ago
What is the simplified value of the exponential expression 16 Superscript one-fourth?
pochemuha

<u>Answer: </u>

The value of the exponential expression 16^{\frac{1}{4}} is 2  

<u>Solution:</u>

16 superscript one-fourth= 16^{\frac{1}{4}}

As per the problem,  

We have to find the value of 16^{\frac{1}{4}}  

16 in terms of 2 can be written as 2\times2\times2\times2

= (2 \times 2 \times 2 \times 2)^{\frac{1}{4}}

=\left(2^{4}\right)^{\frac{1}{4}}

As per the exponential rule, a^{(m)^{n}}=a^{m \times n}

=2^{4 \times \frac{1}{4}}

Here, 4\times\frac{1}{4}=1

= 2^{1}

= 2

Hence, the value is 2.

9 0
3 years ago
Read 2 more answers
Please help .... Jeff is traveling from Atlanta to Columbia and then to Charleston. He decides to plot the cities on a coordinat
Crazy boy [7]

Answer:

The answer is C

Step-by-step explanation:

Use the Pythagoras theorem which states that a2 = b2 + c 2

For easier understanding imagine a straight line along the x axis. At (0,0) we have Atlanta. Moving 21 units to our right we have Columbia. This is represented on the coordinate system by (21, 0). To go from Colombia to Charleston, which is located at (24, -11), we need to travel 3 units right along the x- axis to reach ‘24’ and ‘11’ units down along the y- axis to reach (24, -11). Starting from Colombia we can make an imaginary triangle with its perpendicular being the y- component and its base being the x- component, which as we have stated above is ‘-11’ and ‘3’ respectively

Now applying the Pythagoras theorem to calculate the hypothesis and hence the distance between Colombia and Charleston.

a, which represents the distance between Colombia and Charleston would be

a² = b² + c²

a² = (3)² + (-11)²

a = √[(3)² + (-11)²]

Hence the answer is C

5 0
3 years ago
(a) By inspection, find a particular solution of y'' + 2y = 14. yp(x) = (b) By inspection, find a particular solution of y'' + 2
SOVA2 [1]

Answer:

(a) The particular solution, y_p is 7

(b) y_p is -4x

(c) y_p is -4x + 7

(d) y_p is 8x + (7/2)

Step-by-step explanation:

To find a particular solution to a differential equation by inspection - is to assume a trial function that looks like the nonhomogeneous part of the differential equation.

(a) Given y'' + 2y = 14.

Because the nonhomogeneus part of the differential equation, 14 is a constant, our trial function will be a constant too.

Let A be our trial function:

We need our trial differential equation y''_p + 2y_p = 14

Now, we differentiate y_p = A twice, to obtain y'_p and y''_p that will be substituted into the differential equation.

y'_p = 0

y''_p = 0

Substitution into the trial differential equation, we have.

0 + 2A = 14

A = 6/2 = 7

Therefore, the particular solution, y_p = A is 7

(b) y'' + 2y = −8x

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x

2Ax + 2B = -8x

By inspection,

2B = 0 => B = 0

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x

(c) y'' + 2y = −8x + 14

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x + 14

2Ax + 2B = -8x + 14

By inspection,

2B = 14 => B = 14/2 = 7

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x + 7

(d) Find a particular solution of y'' + 2y = 16x + 7

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = 16x + 7

2Ax + 2B = 16x + 7

By inspection,

2B = 7 => B = 7/2

2A = 16 => A = 16/2 = 8

The particular solution y_p = Ax + B

is 8x + (7/2)

8 0
3 years ago
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