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3 years ago

684 write in two different ways

Mathematics

2 answers:

goldenfox [79]3 years ago

7 0

600+80+4,six hundred eighty four

miss Akunina [59]3 years ago

3 0

1. Six-hundred (and) eighty-four

2. 600+80+4

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I really need help I would appreciate it if someone could help me

sleet_krkn [62]

Answer:

a) The vertex of the graph is $(h,k) = (0, 31)$ , b) $a = -16$ , c) The equation of the parabola is $f(t) = -16\cdot t^{2}+31$ .

Step-by-step explanation:

a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.

The vertex of the graph is $(h,k) = (0, 31)$ .

b) If we know that $(h,k) = (0, 31)$ , $f(t) = a\cdot (t-h)^{2} + k$ and $(t,f(t)) = (1,15)$ , then the value of $a$ is:

$f(t) = a\cdot (t-h)^{2} + k$

$15 = a\cdot (1-0)^{2}+31$

$15 = a\cdot 1 + 31$

$a = 15-31$

$a = -16$

c) The equation of the parabola is $f(t) = -16\cdot t^{2}+31$ .

4 0

3 years ago

Addition 1.4 +1.8 what is the answer

zepelin [54]

Simple. The answer is 3.2.

3 0

3 years ago

Theos mom bought an eight pack of juice boxes at the store for $4. Find the unit rate for the juice boxes.PLZ HELP ME

Otrada [13]

I believe that you need to divide 4 by 8 to get $0.50 per juice box.

3 0

3 years ago

If a wheel has a radius of 5cm

Iteru [2.4K]

We can simplify the wheel, thinking of it as a simple circle, then using general knowledge about circles, we can solve this.

1) Remember that one rotation of the wheel will be equal to the perimeter of the wheel, and for a circle of radius R, the perimeter is:

$P = 2*3.14*R$

We know that our wheel has a radius of 5cm, then R = 5cm, we will get:

$P = 2*3.14*5cm =31.4 cm$

Then one full rotation of the wheel is equal to

2) Not that we know the distance that the wheel does in one single rotation, the total number of rotations needed to do a distance of 50km is equal to the quotient between 50km and the distance that the wheel moves in one rotation.

But first we need to have both values in the same unit system.

Knowin that:

1km = 1000m

1km = 100*1000cm = 100,000 cm

Then 50km = 50*(100,000 cm) = 5,000,000 cm

Now we can solve the quotient:

$\frac{5,000,000cm}{31.4cm} = 159,235.7$