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3 years ago

I need help pls answer All 4 of the questions

Mathematics

2 answers:

Alja [10]3 years ago

4 0

Answer:

Step-by-step explanation:

1: 7/6

2: 3/2

3: 0.000288

4: six tenths

polet [3.4K]3 years ago

4 0

1: 7/6
2: 3/2
3: 0.000288
4: six tenths

i hope this helps!!

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On the planet Jupiter, a ball this thrown upward at a velocity at 10m/s. It's height, h(t) meters after t seconds is given by th

Ilya [14]

Answer:

a) The maximum height that the ball reaches is 4 meters.

b) The height of the ball when it is released from thrower's hand is 2 meters.

c) The ball will take approximately 0.966 seconds to hit the surface of Jupiter.

Step-by-step explanation:

a) Let $h(t) = -12.5\cdot (t-0.4)^{2}+4$ , where $t$ and $h(t)$ are the time and height, measured in seconds and meters. Since this equation is in vertex form, the maximum height corresponds to the value associated with the dependent variable (height). That is:

$h(t) -4 = -12.5\cdot (t-0.4)^{2}$

Hence, the maximum height that the ball reaches is 4 meters.

b) The height of the ball when the ball is released from thrower's hand is the height of the ball at $t = 0\,s$ . Then, we evaluate the function:

$h(0) = -12.5\cdot (0-0.4)^{2}+4$

$h(0) = 2\,m$

The height of the ball when it is released from thrower's hand is 2 meters.

c) The instants when the ball hits the ground are those instants $t$ so that $h(t) = 0$ . Then:

$-12.5\cdot (t-0.4)^{2}+4 = 0$

$-12.5\cdot (t^{2}-0.8\cdot t +0.16)+4 = 0$

$-12.5\cdot t^{2}+10\cdot t +2 = 0$

By the Quadratic Formula we obtain the following roots:

$t_{1} \approx 0.966\,s$ , $t_{2}\approx -0.166\,s$

Only the first root is physically reasonable, since time is a positive real variable.

The ball will take approximately 0.966 seconds to hit the surface of Jupiter.

6 0

3 years ago

What is the equation in slope intercept form of the line passing through 0,3 and has a slope of -6

Yanka [14]

# Slope-intercept form
y = mx + b
with m stands for the slope, b stands for the y-intercept

# Given from the question
m = -6
y-intercept = 3 ((0,3) means that the y-intercept is equal to 3)

# Solution: substitute the information to the slope-intercept form
y = mx + b
y = -6x + 3

The equation of the line is y = -6x + 3

7 0

3 years ago

Read 2 more answers

Please help.

Paladinen [302]

The probability of gooding a green car is 3 out of 7. or 42.8%

4 0

3 years ago

Christopher made 3 1/4 dozen cupcakes. He added vanilla icing to 1/3 of the cupcakes and added chocolate icing to the rest. How

Arada [10]

1 dozen = 12

First you would multiply.

3.25 x 12 = 39 cupcakes total
1/3 x 12 = 4 cupcakes with vanilla icing

Then you subtract.

39 - 4 = 35 cupcakes with chocolate icing

Then to get the answer back in to terms of dozens, divide by 12.

35/12 = 2 11/12

Hope this helped

6 0

3 years ago

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On a map of North Carolina, 27 centimeters represents 18 miles. Based on the map, what equation would calculate the number of mi

ioda

Let y represent number of miles between the two cities and x represent number of cm between both cities.

We have been given that on a map of North Carolina, 27 centimeters represents 18 miles. We are asked to determine the equation that would calculate the number of miles between the two cities, y, when they measure x centimeters apart.

We will use proportions to solve our given problem.

$\frac{\text{Number of miles between two cities}}{\text{Number of cm between two cities}}=\frac{18}{27}$