A fishing boat with two people on it runs out of gas while out in a bay. The people set off an emergency flare from a height of 2 meters above the water. The flare has an initial vertical velocity og 30 meters per second. How long does it take the flare to reach its maximum height? What is that height?

Answers

Answer 1

Answer:

Step-by-step explanation:

time taken to reach the max height is expressed according to the projectile equation;

tmax = u/g

Given u = 30m/s

g is the acceleration due to gravity = 9.81

t = 30/9.81

t = 3.0secs

hence it will take the flare 3.06secs to reach its maximum height.

Max height = u²/2g

Max height = 30²/2(9.81)

Max height = 900/19.62

Max height = 45.87m

If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m


Related Questions

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.

Answers

Answer:

Anand can afford is 6hours

Step-by-step explanation:

 Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Answer:

Anand can afford is 6hours

Step-by-step explanation:

Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

what’s the quotient of -21/-3?

Answers

Answer:

7

Step-by-step explanation:

When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.

y=3x y=18 solve for x

Answers

Answer:

6=x

Step-by-step explanation:

y= 18; y= 3x

18=3x

18/3 = 3x/3

6=x

Hope this helps!

X=6 because if you are trying to get the answer to 18 then you would do 18=3x and 18 decided by 3 is 6. And 6*3=18

Choose the correct written expression for: 25 – (3 x 4).

Answers

Answer:

13

Step-by-step explanation:

Answer:

25 minus the product of 3 and 4.

Step-by-step explanation:

PEMDAS

and... I just took the test and it was correct answer.

Simplify 9 to the 2nd power\ 9 to the 7th power

Answers

Answer:

9^2/9^7 = 9^-5

Step-by-step explanation:

Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?

Answers

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

[tex]8=\underline{2}\times 2\times 2[/tex]

[tex]22=\underline{2}\times 11[/tex]

Common is 2.

Therefore the LCM will be:

[tex]2\times 2\times2\times 11 = \bold{88}[/tex]

So, the answer is 88 s.

Raymond uses the Venmo
app to transfer money to
his friends. He had $6.50.
He gave $2.95 to Theresa
and received $1.26 from
Peyton. How much money
does he have now?

Answers

Answer:

2.29

Step-by-step explanation:

2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.

BRAINLIST!!!!!!!!!
which one is a function???

Answers

Answer: C

i hope this helps

How can you graphically tell if a quadratic equation will have a complex solution?

Answers

Answer:

If it does not cross the x axis.

Step-by-step explanation:

If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution

The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.

if the equation doesn’t cross the X-axis

how many triangles in the figure?
26
25
24
27

Answers

I keep getting 22 triangles

How many 3/20 inch lengths are in 5 2/5 inches?

Answers

Answer:

0.81

Step-by-step explanation:

simply the following 2m⁵×5m³×7m²​

Answers

Answer:

[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]

Step-by-step explanation:

Simplify the expression

[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]

Calculate the product of the coefficients:

2*5*7=70

Compute the product of the variables. Since they are all the same letter, sum their exponents:

[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]

Combine the results:

[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]

PLEASE HELP ME !!!!!!!!!! O///O
Write an equation that has a slope of 4 and a y-intercept of (0,1).

Answers

Answer:

y=4x+1

Step-by-step explanation:

I’m guessing the equation needed to be in the y=Mx+b form. If so, m is your slope and b is your y-intercept.

Answer:

y - 1 = 4 ( x - 0 )

Step-by-step explanation:

point slope form

If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP

Answers

Answer:

D

Step-by-step explanation:

It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?

Answers

Answer:

456

Step-by-step explanation:

Answer:

i think its 0.09

Step-by-step explanation:

PLEASE HELP!!! IF YOU GIT IT RIGHT I WILL GIVE YOU 90 BRANLY POINTS !!! Which of the following equations is not a proportion? 14/7 = 7/3.5, 1.5/3 = 3/9, 22/33 = 4/6, 2/3 = 142/213

Answers

Answer:

1.5/3=3/9

Step-by-step explanation:

1.5/3=1/2  when 3/9=1/3

I hope this helps :)

Answer:

1.5/3 = 3/9 is not a proportion

Step-by-step explanation:

1.5/3 = 3/9

1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it  not proportional

2. La suma de los cuadrados de dos números reales pares consecutivos es 52
Encuentra los números

Answers

Answer: ±4 y ±6

Step-by-step explanation:

Algunas definiciones:

Sea N un numero real.

El cuadrado de un numero es:

N^2.

Ahora, nos dicen que N es par, entonces podemos escribir:

N = 2*n

donde n es un numero entero.

Y el par consecutivo a N, va a ser M = N + 2.

M = 2*n + 2.

Entonces:

"La suma de los cuadrados de dos números reales pares consecutivos es 52"

(2n)^2 + (2n + 2)^2 = 52

Tenemos que resolver esto para n.

4n^2 + 4n^2 + 8n + 4 = 52

Entonces tenemos una ecuación cuadrática:

8*n^2 + 8n + 4 - 52 = 0

8*n^2 + 8n - 48 = 0

Antes de usar la ecuación de Bhaskara, dividamos todos los coeficientes por un factor común, en este caso 8 es un factor común:

(8*n^2 + 4n - 48)/8 = n^2 + n - 6 = 0.

Ahora resolvamos esto para n, las dos soluciones son

[tex]n = \frac{-1 +-\sqrt{1^2 - 4*1*-6} }{1*2} = \frac{-1 +- 5 }{2}[/tex]

Entonces las dos soluciones son:

n = (-1 - 5)/2 = -3

n = (-1 + 5)/2 = 2

Entonces, si tomamos la primer solucion, los numeros consecutivos son:

N = 2*-3 = -6

M = N + 2 = -4

Si tomamos la segunda solucion, n = 2.

N = 2*2 = 4.

M = N + 2 = 6.

Entonces podemos concluir que las soluciones son:

±4 y ±6

Ian purchased cans of soda for a party he was having. For every 12 cans of soda she payed $4.98. What is the cost per can of soda?



The cost of each can of soda is $
i need this quik and now

Answers

$.40

Step-by-step explanation:

if you want the full one it's .415

find the value of x - PLEASE HELP

I need to show my work -

Thank you!!

Answers

Answer:

360=297+(x-36)+25

360=297+25-36+x

360=286+x

360-286=x

74=x

Answer:

x = 74 degree

Step-by-step explanation:

All those angles must add up to 360 degrees:

360 degrees  =  (297 + x - 36 + 25) deg, or

360 = 297 - 36 + 25 + x, or

x = 74 degrees

pleaseeeeeeeeeeeeeeeee solve this

Answers

Answer:

360 degrees

Step-by-step explanation:

We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as  the exterior angles of the given triangles, their sum will be 360 degrees as well.

Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1 mile long, also uphill, with an elevation change of 700 feet.

1. Which trail do you think would be more difficult to hike up?

2. Explain your answer to question

Answers

1. A would be more difficult to hike up.

2. Because it has more miles than B does and the elevation is lowers

Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
x² - y²

Answers

Answer:

-3

Step-by-step explanation:

-1*-1=1

2*2=4

1-4

=-3

Vaness’s team won their softball game and scored sixty-three points total. If Vanessa scored fifteen of the points and everyone else scored six points each, how many players were on her team?

Answers

8. 63-15=48 48 divided by 6=6

A scientist studied bacteria.
She placed 4 bacteria in a dish.
The population of bacteria triples every 12 hours
Which equation can be used to determine the number of bacteria, y, present after x days?
O y = 4(3)x
O y=4(6)x
O y = 4(3) 2x
O y = 4(6) 2x

Answers

Answer:

the answer to the question is A

An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:

y = 4(3)²ˣ

Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Which statement is true about the transformation?

Answers

An

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which statement is true about the transformation? It is isometric because not all side lengths and angle measures remained the same. It is isometric because all side lengths and angle measures remained the same. It is not isometric because not all side lengths and angle measures remained the same.

Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and each group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.

Answers

Answer:

There were 4 adults; including Mr. Torres

Step-by-step explanation:

- Each row in the stadium had 9 seats

- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)

- The arrangement of the students and the adults who sat with them on same row is:   A  S  S  S  A  S  S  S  A

              1   2  3  4  5  6  7  8  9

since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.

So the total number of adults that were present = 3 + 1 = 4

Given A(2,14), B(2,3), C(4,2) and D(14,2) what about AB?

Answers

Answer - 11

I’m assuming you’re trying to find the line AB (basically the distance between point A and B). If that’s the case, since they both have the same x vale, subtract their y values. 14-3 gives you 11, which is the length of line AB

What should you add to this problem?
(2x^3 + 5x^2 + 9) / (x + 3)
A) 0x^4
B) 0x^2
C) 0x^3
D) 0x

Answers

I’m gonna guess and say B

ITS SUPER EASY PLEASE HELP ITS DUE IN AN HOUR PLEASEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

- 84

Step-by-step explanation:

I think answer to this question is -28

I hope it will be correct

Help I need help on this question

Answers

Answer:

1/3 is the y intercept

Step-by-step explanation:

f(x) = -2/9x + 1/3

This is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

-2/9 is the slope and 1/3 is the y intercept

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