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3 years ago

What is the maximum height the cricket reaches?

Mathematics

2 answers:

Katyanochek1 [597]3 years ago

7 0

Answer:

3.036

Step-by-step explanation:

i just took this assignment the next answer is 0.875 sec

enyata [817]3 years ago

6 0

Answer:

Step-by-step explanation:

we have that

h(t) = –16t² + 14t

using a graph tool

see the attached figure

the cricket’s hang time is the difference between point (0,0) and (0.875,0)

(0.875-0)=0.875 sec

the answer is 0.875 sec

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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 flash down 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 48.2 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 3021.6 meters high above sea-level the rocket gets at its peak?

5 0

3 years ago

Find the possible values for s in the inequality 12s – 20 ≤ 50 – 3s – 25.

Margaret [11]

◆ INEQUALITIES ◆

$given \: expression \: \: - \\ \\ 12s - 20 \leqslant 50 - 3s - 25 \\ \\ 12s - 20 \leqslant 25 - 3s \\ \\ adding \: 20 \: both \: sides \: \: , \: \\ we \: get \: - \\ \\ 12 s \leqslant 45 - 3s \\ \\ 12s + 3s \leqslant 45 \\ \\ 15s \leqslant 45 \\ s \leqslant \frac{45}{15} \\ \\ \\ s \leqslant 3 \: \: \: \: \: \: ans.$

8 0

3 years ago

Jack and jill went on their first date to chili's. Their food bill totaled $32.00 plus the 15% tip they needed to pay the waitre

Vlad1618 [11]

A) 15% of $32.00 is $4.80.
B) all together he will be paying $36.80.
i hope this helped, good luck!

5 0

3 years ago

What is the value or x?

Romashka [77]

From the given figure

$\cos x=\frac{XY}{XZ}$

Since XY = 5.1 and XZ = 7.7, then

$\cos x=\frac{5.1}{7.7}$

To find x, use the inverse of cos

$x=\cos ^{-1}(\frac{5.1}{7.7})$

Use the calculator to find x

$x=48.522$

The answer is

4 0

1 year ago

I need all the spaces filled in please :)

Artist 52 [7]

Answer:

3x + y = -16

Step-by-step explanation:

Explanation:-

Given a system of equations are

5x+6y =-5

- 2x - 5y = -11

multiply '1' and Adding two system of equtions

+ 1 (5x + 6y = -5)

+ 1 ( -2x - 5y = -11)

3x + y = -16

Final answer:-

5x + 6y = -5

-2x - 5y = -11

3x + y = -16

7 0

3 years ago