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2 years ago

I need the y and x intercepts

1 answer:

6 0

The x intercept is that point at which curve cross the x axis and y intercept is the point at whcih curve intersect y axis.

As the curve cross the x axis at point (-1.2,0) and cross the y axis at (-0.7,0).

So x intercept is -1.2 and y intercept is -0.7.

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A rocket carrying fireworks is launched from a hill 60 feet above a lake. The rocket will fall into the lake after exploding at

castortr0y [4]

Answer:

Step-by-step explanation:

Given the rocket's height above the surface of the lake given by the function h(t) = -16t^2 + 96t + 60

The velocity of the rocket at its maximum height is zero

v = dh/dt = -32t + 96t

At the maximum height, v = 0

0 = -32t + 96t

32t = 96

t = 96/32

t = 3secs

Substitute t = 3 into the modeled function to get the maximum height

h(3) = -16(3)^2 + 96(3) + 60

h(3) = -16(9)+ 288 + 60

h(3) = -144+ 288 + 60

h(3) = 144 + 60

h(3) = 204

Hence the maximum height reached by the rocket is 204m

Get the height after 2 secs

h(t) = -16t^2 + 96t + 60

when t = 2

h(2) = -16(2)^2 + 96(2) + 60

h(2) = -64+ 192+ 60

h(2) = -4 + 192

h(2) = 188m

Hence the height of the rocket after 2 secs is 188m

3 0

3 years ago

An 8 by 2 arrangement of 16 labels fills one sheet of paper. How many sheets are needed for 1,488 labels? A. 744 B. 186 C

Butoxors [25]

1488 labels divided by 16 labels equals 93. So the answer is D.

3 0

3 years ago

Which expression is equal to 0 when simplified?

aksik [14]

The answer is A) 2n-3m-(2n+3m)

6 0

3 years ago

Suppose weight of a baby less than 2 months is normally distributed with mean 11.5 lbs and standard deviation 2.7 lbs, what prop

Lera25 [3.4K]

Step-by-step explanation:

First calculate the z-score.

z = (x − μ) / σ

z = (11.07 − 11.5) / 2.7

z ≈ -0.16

From a z-score table:

P(z<-0.16) = 0.4364

The proportion of babies that weigh less than 11.07 lbs is 0.4364.

3 0

3 years ago

According to Ohm's Law, in an electrical circuit the voltage V (in volts) is related to the current I (in amps) and the resistan

gulaghasi [49]

Answer:

The resistance is decreasing at a rate of 0.36 ohms/minute.

Step-by-step explanation:

The mathematical form of the Ohm's law is given by :

V = IR ...(1)

Where V is voltage, I is current and R is resistance

Given,

I = 5 A

R = 6 ohms

dI/dt = 0.3 A/min

Differentiate equation (1) wrt t:

$\dfrac{dV}{dt}=I\dfrac{dR}{dt}+R\dfrac{dI}{dt}$

When V is constant, dV/dt = 0

$0=5\times \dfrac{dR}{dt}+6\times 0.3\ A/s\\\\1.8=-5\times \dfrac{dR}{dt}\\\\\dfrac{dR}{dt}=-0.36\ \Omega/min$

So, the resistance is decreasing at a rate of 0.36 ohms/minute.

4 0

3 years ago