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3 years ago

What is 30 + 1/8 as a mixed number

Mathematics

1 answer:

Usimov [2.4K]3 years ago

3 0

If you mean as a decimal, it's 30.125.

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An object has been thrown straight up into the air. The formula h = vt - 16t^2 gives the height of the object above the ground a

Oxana [17]

Answer:

8 seconds.

Step-by-step explanation:

To solve this question, we need to find the time, $t$ , when $h = 0$ , that is, when the height of the object above the ground is 0 feet.

Substituting $v = 128$ feet per second and $h = 0$ gives the quadratic:

$0 = 128t - 16t^{2}$

Since 128 is divisible by 16, it can be reduced to $0 = 16(8t - t^{2})$ .

We must now solve for $t$ .

We can easily see that one answer to the equation is 0,

$8(0) - (0)^{2} = 0$ (we need not concern ourselves with the 16 outside of the parenthesis as in the equation above, since 16 multiplied by 0 is 0). However this is the time the object is released into the air.

The second answer, $t = 8$ is also easy to see by inspection:

$8(8) - (8)^{2} = 0$ .

Therefore the object lands 8 seconds after it is thrown.

6 0

2 years ago

The notation f:S→T denotes that f is a function, also called a map , defined on all of a set S and whose outputs lie in a set T

AnnyKZ [126]

Answer:

There are many. Two examples are

$f(x) = x, \\f(x) = x^3$

Step-by-step explanation:

There are many examples. The simplest is

1 -

$f(x) = x$

It is trivial that

$\text{if \,\,\,\,} f(x) = f(y) \,\,\,\,\,\text{then} \,\,\,\,\, x=y$

2 -

$f(x) = x^3$

That function is injective as well.

$\text{if \,\,\,\,} x^3 = y^3 \,\,\,\,\,\text{then} \,\,\,\,\, x=y$

An example of a function that is NOT injective is

$f(x) = x^2$

Notice that

$f(-2) = (-2)^2 = 2^2 = 4$

4 0

3 years ago

Solve the inequality IxI < 5

Elodia [21]

Answer:

the correct answer is the second one

3 0

3 years ago

Solve for x x^2-2x+1=0

Molodets [167]

Answer:

x=1

Step-by-step explanation:

By factoring, you'll compress the equation to (x-1)^2=0

Next take out the square: x-1=0

Now subtract one to the other side to get x! x=1

Hope this helps! :)

3 0

3 years ago

. A boat traveled 300 miles in 15 hours. What<br> rate did the boat travel in miles per hour?

Gala2k [10]

Answer:

Step-by-step explanation:

divide 300 by 15 and there's your answer

8 0

3 years ago