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zimovet [89]
3 years ago
6

You launch a water balloon. The function h=-0.08t^2+1.6t+2 models the height h (in feet) of the water balloon after t seconds. W

hat is the initial height of the balloon?
Mathematics
1 answer:
stellarik [79]3 years ago
4 0

Answer:

The initial height of the balloon is 2 feet.

Step-by-step explanation:

The height of the balloon in feet after t seconds is given by the following equation:

h(t) = -0.08t^{2} + 1.6t + 2

What is the initial height of the balloon?

This is h when t = 0, that is, h(0). So

h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2

The initial height of the balloon is 2 feet.

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Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5
abruzzese [7]

Answer:

The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

|z-6|-|z-5|,\ if\ z

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

|z-6| and |z-5|

Using the definition of absolute value function as per above definition.

|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z

|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression |z-6|-|z-5|,\ if\ z will be equivalent to :

-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}

So, the expression is equivalent to <em>1</em>.

6 0
3 years ago
Twelve less than 5 times a number is greater than or equal to 6 more than twice the number. Each inequality and number line repr
jenyasd209 [6]

Answer:  x ≥ 6

<u>Step-by-step explanation:</u>

12 less <u>than</u> 5 times a number ≥ 6 more <u>than</u> twice the number

                    5x - 12                    ≥                        2x + 6

Note: the word "than" switches the order of the terms.

5x - 12 ≥ 2x + 6

<u>-2x  +12</u>  <u>-2x +12 </u>

3x         ≥       18

<u>÷3         </u>     <u>    ÷3 </u>

   x         ≥       6

Graph: 6 -----------→   the dot is closed (filled in) since it is "equal to"

3 0
3 years ago
Help brainliest for correct answer
Ksju [112]

Answer:

nooooooooo

Step-by-step explanation:

mark me brainlist

5 0
3 years ago
10. Do these figures have the same or the opposite orientation?
Jet001 [13]

Answer:

Opposite

Step-by-step explanation:

3 0
3 years ago
PLESE HELPPP!!!!!!!!!!!!!!!!
zzz [600]

Answer:

B. \frac{6}{2x^{2}  - 5x}

Step-by-step explanation:

The product of the ratioal expressions given above can be found as follows:

= \frac{2}{x} * \frac{3}{2x - 5}

Multiply the denominators together, and the numerators together, separately to get a single expression

\frac{2(3)}{x(2x - 5)}

= \frac{6}{x(2x) - x(5)}

= \frac{6}{2x^{2}  - 5x}

The product of the expression \ = \frac{2}{x}*\frac{3}{2x - 5} = \frac{6}{2x^{2}  - 5x}

The answer is B.

8 0
3 years ago
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