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AlexFokin [52]
3 years ago
9

751,486 right valid of digit 5

Mathematics
1 answer:
Dimas [21]3 years ago
3 0
the answer is ten thousand
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You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water you
NARA [144]

Answer:

When do you hit the water?

1.075 seconds after you jump.

What is your maximum height?

the maximum height is 12.5626 ft

Step-by-step explanation:

The equation:

h(t) = -16*t^2 + 6*t + 12

Is the height as a function of time.

We know that the initial height is the height when t = 0s

h(0s) = 12

and we know that the diving board is 12 foot tall.

Then the zero in h(t)

h(t) = 0

Represents the surface of the water.

When do you hit the water?

Here we just need to find the value of t such that:

h(t) = 0 = -16*t^2 + 6*t + 12

Using the Bhaskara's formula, we get:

t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}

Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)

The positive solution is:

t = (-6 - 28.4)/-32 = 1.075

So you hit the water 1.075 seconds after you jump.

What is your maximum height?

The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.

We know that the vertex of a general quadratic:

a*x^2 + b*x + c

is at

x = -b/2a

Then in the case of our equation:

h(t) = -16*t^2 + 6*t + 12

The vertex is at:

t = -6/(2*-16) = 6/32 = 0.1875

Evaluating the height equation in that time will give us the maximum height, which is:

h(0.1875) =  -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626

And the height is in feet, then the maximum height is 12.5626 ft

6 0
3 years ago
Find the x-intercept of the function f(x) = a^x + 1 - 1.
babymother [125]

I am not certain of what you wrote for the function but will assume that is likely exponential function or quadratic function.

First, (quadratic function) To solve this, you must know the quadratic formula. The x-intercept is value(s) that has the output value(y) of 0.

If the vertex of the quadratic function of (0,0), there is only one x-intercept. The number and value of the x-intercept depends on the slope and vertical displacement.

Second, (exponential function) note that there is no x-intercept. For instance, if a is 2, is there such value y that 2^y is 0? The smallest exponential value that is an integer is 1. Even broadening the limit to rational numbers, no such exponential value can have the result of 0. Therefore, in the basic form of exponential function, there is no x-intercept.

4 0
3 years ago
the review words are, addend, addition, difference, number sentences, related facts, subtraction, sum
prisoha [69]
What's the question? tell me what you need to do with the words and i can help you.
8 0
3 years ago
True or false:in a geometric sequence, the term a(n+1) can be smaller than the term a(n)
Svetllana [295]
A(n) = current term

a(n + 1) = next term

in a geometric sequence, the next term comes from a product of the current term and the common ratio.

the common ratio can be any value, let's say use r = ½.

if the current term is say hmmm 40, the next term is 40*½ , or 20, so indeed, the next term is smaller.
5 0
2 years ago
Read 2 more answers
Plz Help!!! I need this Asap. Plz give an explanation and no guessing only answer if you know.
borishaifa [10]

Answer:

<h2>50°</h2>

Step-by-step explanation:

AB = AC

So, it is a isosceles triangle.

<B = <C = 65°

Sum of angles of triangle = 180°

< A + < B + <C = 180°

plug the values:

X + 65° + 65° = 180°

Calculate the sum

X + 130° = 180°

Move constant to R.H.S and change its sign

x = 180° - 130°

Calculate the difference

X = 50°

Hope this helps...

Good luck on your assignment...

7 0
3 years ago
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