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3 years ago

What is the answer to 39 And 41

Mathematics

1 answer:

ivolga24 [154]3 years ago

8 0

I got these as the answer and I showed my work

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A small rocket is fired from a launchpad 15 m above the ground with an initial velocity left angle 400,450,600 right angle m/s.

vivado [14]

Answer:

v=<400, 450+3t, 600-9.81t> m/s

r=<400t, 450t+3 $t^{2}$ /2, 15+600t-9.81 $t^{2}$ /2> m/s

b) attach file

c) t=122.324s

d) z=18369.9854 m

Step-by-step explanation:

The equation for velocity of each component is v= $v_{0}$ +at, in this case the x-axis component has acceleration 0 $\frac{m}{s^{2} }$ , the y-axis component has acceleration 3 $\frac{m}{s^{2} }$ and the z-axis component has -g $\frac{m}{s^{2} }$ , where g=9.81 $\frac{m}{s^{2} }$ .

The equation for position of each component is x= $x_{0}$ + $v_{0}$ t+a $t^{2}$ /2,

with < $x_{0}$ , $y_{0}$ , $z_{0}$ >=<0,0,15>.

c) This time is t when z=0, with positive sign.

d)Solving the equation $V_f^{2}$ = $V_o^2$ + 2*a*(z- $z_{0}$ ) for z, with $V_f$ =0.

3 0

3 years ago

Find the x intercept of the parabola with vertex 3,-2 and y intercept 0,7 round to the nearest hundredth

12345 [234]

An x-intercept is namely a "solution" or "zero" or "root" often called, and when that happens, y = 0, just like with any other x-intercept.

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
\begin{cases}
h=3\\
k=-2
\end{cases}\implies y=a(x-3)^2-2
\\\\\\
\textit{we also know that }
\begin{cases}
x=0\\
y=7
\end{cases}\implies 7=a(0-3)^2-2
\\\\\\
9=9a\implies \cfrac{9}{9}=a\implies 1=a\qquad therefore\qquad \boxed{y=(x-3)^2-2}$

so what is its x-intercept anyway?

$\bf \stackrel{y}{0}=(x-3)^2-2\implies 2=(x-3)^2\implies \pm\sqrt{2}=x-3
\\\\\\
\pm\sqrt{2}+3=x\qquad therefore\qquad (\pm\sqrt{2}+3~~~~,~~~~0)$

5 0

3 years ago

Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend on dinner?

gladu [14]

Answer: The answer is 35.43 because 29.53 times 20% is 5.90, so you add 5.90 to 29.53 to get 35.43.

7 0

2 years ago

Which statement must be true?

diamong [38]

I think it’s A Im not completely sure tho.

3 0

2 years ago

Peyton has collected 120 aluminum cans for recycling. If 20 cans will fit in each blue plastic bag, how many bags will she need

gogolik [260]

Hi Renee!

--------------------------------------------

We Know:

120 aluminum cans.

20 cans fit in each blue bag.

--------------------------------------------

Solution:

120 / 20 = 6

--------------------------------------------

Answer:

She will need 6 bags to carry all the aluminum cans.

--------------------------------------------

Hope This Helps :)

6 0

3 years ago