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guajiro [1.7K]
3 years ago
8

Write the following number in standard form: 3.471 x 10 to the power of negative 3

Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

=-3471 is the answer this may help you.

Step-by-step explanation:

=3.471×10^-3

=3.471×-1000

=-3471

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Applications 24. A rocket is launched into the air. Its height in feet, after x seconds, is given by the equation The starting h
SVEN [57.7K]

The given function is

h(x)=-16x^2+300x+20

According to this function, the starting height of the rocket is 20 feet because that's the initial condition of the problem stated by the independent term.

Additionally, we find the maximum height by calculating the vertex of the function V(h,k).

h=-\frac{b}{2a}

Where a = -16 and b = 300.

\begin{gathered} h=-\frac{300}{2(-16)}=\frac{300}{32}=\frac{150}{16}=\frac{75}{8} \\ h=9.375 \end{gathered}

Then, we find k by evaluating the function

\begin{gathered} k=-16(9.375)^2+300(9.375)+20 \\ k=-1406.25+2812.5+20=1426.25 \end{gathered}

Hence, the maximum height is 1426.25 feet.

At last, to know the time need to hit the ground, we just use h=9.375 and we multiply it by 2

t=2\cdot9.375=18.75

Hence, the rocket hits the ground after 18.75 seconds.

6 0
1 year ago
Solve for x and y<br><br> it says i need 20 characters so i’m writing more
fgiga [73]

Answer:

<u> </u><u>For</u><u> </u><u>y</u><u> </u><u>:</u>

From pythogras theorem:

{ \tt{ {(hypotenuse)}^{2} =  {(adjacent)}^{2}  +  {(opposite)}^{2}  }} \\ { \tt{ {(7 + 3)}^{2}  =  \{( {x}^{2} + 9) \} {}^{2} +  {y}^{2}   }} \\ { \tt{100 = ( {x}^{4}  + 18 {x}^{2} + 81) +  {y}^{2}  }} \\ { \tt{ {y}^{2}  = 100 -  {x}^{4} -  {18x}^{2}  - 81 -  -  -  - (a) }}

For the second largest inner triangle;

{ \tt{ {y}^{2} =  {7}^{2} +  {x}^{2}   }} \\ { \tt{ {y}^{2}  - = 49 +  {x}^{2}  -  -  -  - (b) }}

Equate (a) and (b):

{ \tt{100 -  {x}^{4}  - 18 {x}^{2} - 81 = 49 +  {x}^{2}  }} \\ { \tt{100 - 49 - 81 =  {x}^{4}  + 19 {x}^{2} }} \\ { \tt{ - 30 =  {x}^{2}( {x}^{2}   + 19x)}} \\ { \boxed{ \tt{for \:  \:  {x}^{2} =  - 30...imaginary \: value }}} \\ {\boxed{ \tt{for \:  \: ( {x}^{2} + 19x ) \:  =  - 30}}} \\ { \tt{ {x}^{2} + 19x + 30 = 0 }} \\ { \tt{}}

solve the equation to get values of x, which will give you y

7 0
1 year ago
-3.2 + (-4.6) + 5.4 = ?? please show how you got your answer
Dovator [93]
-3.2+(-4.6)+5.4
when you add a negative number it is the same as just subtracting it.
-3.2-4.6+5.4
-3.2-4.6 can be done like this: -(3.2+4.6) making it -7.8
-7.8+5.4
-7.8+5.4 can be done like this -(7.8-5.4) making the final answer-2.4

Hope this helps :)
3 0
3 years ago
If the end of a week is 7 days but after the 7th day its the weekend so wouldnt 7.99 days would be a week?
Vera_Pavlovna [14]

Answer:

The end of the 7th day of a week would be Sunday.

Monday-1st FULL day

Tuesdau-2nd FULL day

on so on

Therefore, it would not be 7.99 days and instead a full ONE day

hopefully this makes some sense

6 0
3 years ago
Round 25 to two decimal places
Gnesinka [82]

Answer:

To round off a number to 2 decimal places, look at the digit in the thousandths place. If the digit in the thousandths place is greater or equal to 5, the hundredths digit is increased by one unit.

Step-by-step explanation:

8 0
3 years ago
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