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Anastaziya [24]
3 years ago
15

Drag the values into the boxes to classify each number as rational or irrational

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0
A rational number is any number that can be expressed as a whole number, a fraction, or as a nonrepeating decimal. Otherwise, it is an irrational number. 

√4/9: When you simplify this, it becomes 2/3. Hence, this is a <em>rational number.</em>
√2/24: The simplest form when you reduce is 1/√12. Hence, this is an <em>irrational number</em>.
√100: This is equal to 10. Therefore, this is a <em>rational number</em>.
5/4: Since 5/4 is a fraction, it is a <em>rational number</em>.
7.3: This is a fixed decimal, hence, this is<em> rational</em>.
0.002475: This is a fixed decimal, hence, this is <em>rational</em>.
0.01: This is a fixed decimal, hence, this is <em>rational</em>. It is actually equal to 1/10.
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NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t
Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t^2+121t+283

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

h(t)=0\implies-4.9t^2+121t+283=0

Using the quadratic formula, the solution for our problem is

\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

h^{\prime}(t)=-9.8t+121

The root is

-9.8t+121=0\implies t=\frac{121}{9.8}=12.347

Then, the maximum height is

h(12.347)=1029.99

1029.99 meters above sea level.

6 0
1 year ago
Please help I dont understand​
Kitty [74]

Answer:

3rd option

Step-by-step explanation:

A direct variation is expressed in this form:

y = kx

1. y - 4x = 8

y = 4x + 8 is not a direct variation

2. y + 2 = 7x

y = 7x - 2 is not a direct variation

3. y - 3x = 0

y = 3x is a direct variation

4. y = 5x - 2

y = 5x - 2 is not direct variation

8 0
3 years ago
What is 0.080 as a fraction
nordsb [41]
That is 8/100 or 80/1000
3 0
3 years ago
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A rocket is launched in the air. The graph below shows the height of the rocket hh in meters after tt seconds.
fgiga [73]

Answer:

The answers are=

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2 years ago
What is a formula for the nth term of the given sequence? 12, 6, 3
AURORKA [14]

Answer:

I think it is dividing the numbers by 2

4 0
2 years ago
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