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3 years ago

11

Alecia thinking of a number for her friends to guess she tells them the number is the least common multiple of 4 and 6 which num

ber is Alicia thinking of

1 answer:

Oksana_A [137]3 years ago

5 0

2 because 2*2 will get u 4 and 2*3 will get you 6 so Alicia is thinking of the number 2

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(x,7) and (11,8); m= -1/5

Citrus2011 [14]

Answer:

x=16

Step-by-step explanation:

8 0

3 years ago

Solve the following inequality for X <br> -7.3x < -21.9x + 73

Aleonysh [2.5K]

Answer:

X=®™✓©™[[

Step-by-step explanation:

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7 0

3 years ago

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Oliga [24]

Answer:

$\displaystyle 1)48.2 \: \: \text{sec}$

$\rm \displaystyle 2)3021.6 \: m$

Step-by-step explanation:

<h3>Question-1:</h3>

so when <u>flash down</u><u> </u>occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

$\displaystyle - 4.9 {t}^{2} + 229t + 346 = 0$

to solve the equation can consider the quadratic formula given by

$\displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a}$

so let our a,b and c be -4.9,229 and 346 Thus substitute:

$\rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

remove parentheses:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

simplify square:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}$

simplify multiplication:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8}$

simplify Substraction:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8}$

by simplifying we acquire:

$\displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5$

since time can't be negative

$\displaystyle t = 48.2$

hence,

at <u>4</u><u>8</u><u>.</u><u>2</u><u> </u>seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

$\displaystyle x _{ \text{max}} = \frac{ - b}{2a}$

let a and b be -4.9 and 229 respectively thus substitute:

$\displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)}$

simplify which yields:

$\displaystyle t _{ \text{max}} = 23.4$

now plug in the maximum t to the function:

$\rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346$

simplify:

$\rm \displaystyle h(23.4) = 3021.6$

hence,

about <u>3</u><u>0</u><u>2</u><u>1</u><u>.</u><u>6</u><u> </u>meters high above sea-level the rocket gets at its peak?

5 0

2 years ago

Alan is on the swim team. Each week he swims a total of 6000 meters. How many kilometers does he swim each week

NARA [144]

Answer:

6 km

Step-by-step explanation:

1000 meters equals 1 kilometer

3 0

2 years ago

Which sequence could be described by the explicit definition: t_n=2^n+1t n = 2 n + 1

yuradex [85]

Answer:

2. 27

3. Option C. 3, 5, 9, 17, 33, ...

Step-by-step explanation:

2. The sequence is defined by the explicit function $t_{n} = 2^{n} - n$

Therefore, the 5th term i.e. $t_{5}$ of the sequence.

$t_{5} = 2^{5} - 5 = 32 - 5 = 27$ (Answer)

3. The explicit definition is $t_{n} = 2^{n} + 1$

Hence, $t_{1} = 2^{1} + 1 = 3$

$t_{2} = 2^{2} + 1 = 5$

$t_{3} = 2^{3} + 1 = 9$

$t_{4} = 2^{4} + 1 = 17$

Therefore, the option C is the right sequence. (Answer)

4 0

3 years ago

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