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

C) A restaurant operator in Accra has found out that during the partial lockdown, if she sells a plate of her food for GH¢20 each, she can sell 300 plates, but for each GH¢5 she raises the price, 10 less plates are sold. What price in GH¢ should she sell the plates to maximize her revenue?

Answers

Answer:

Maximum price = GH¢85

Step-by-step explanation:

Let p be the number of times she raises the price as well as the number of times 10 less plates are sold

Revenue, R = number of plates sold * price sold

R = (300 - 10p)(20 + 5p)

R =  6000 + 1500p - 200p - 50p²

R = 6000 + 1300p - 50p²

50p² - 1300p - 6000 = 0

p² - 26p - 120 = 0

finding the axis of symmetry, p = -b/2a

p = -(-26)/2*1

p = 13

Maximum price = 13 * 5 + 20 = GH¢85

Number of plates sold = 300 - 10 * 13 = 170 plates

Maximum revenue = GH¢85 * 170 = GH¢14,450

Lili has saved $2,500 money from her part time job at a bakery. Since she will not need this money for a few years, she decides to put the money in a 3-year CD (Certificate of Deposit) at a local credit union. The credit union offers Lili 2.75% APR, compounded quarterly. How much will Lili's CD be worth at the end of the 3 years?

Answers

Answer:

Lili's CD be worth at the end of 3 years is $2714.23

Step-by-step explanation:

Lili deposit $2500 at the Annual percent rate 2.75% and for 3 years compounded quarterly.

Let's use formula

A = p[tex](1+\frac{r}{n} )^{n*t}[/tex]

From the given information

p=2500

r =0.0275

t=3

n=4

Plug in these values into the formula

A=2500[tex](1+\frac{0.0275}{4})^{4*3}[/tex]

Simplify the right side of the equation,

A=$2714.23

what is the equation for the line perpendicular to the line represented by the equation y=1/3x-2 that passes through the point (4,-7).

A. Y= -3x-2
B. Y= -3x-5
C. Y= 3x+2
D. Y= -3x+5

Answers

Answer:

y=-3x+5

bring (4,-7) in other three lines

you will know that it is unreasonable that

-7=-14

-7=-17

-7=14

The equation for the line perpendicular to the line represented by the equation  [tex]y= \ \frac{1}{3} x-2[/tex]  that passes through the point [tex](4,-7)[/tex] will be  [tex]y=-3x+5[/tex].

What is equation for the perpendicular line ?

Equation for the perpendicular line, the perpendicular lines have opposite-reciprocal slopes.

Now,

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

Equation of a perpendicular line   [tex]y=mx-b[/tex]

Here, [tex]m=[/tex] slope

So,

We have

     [tex]y= \ \frac{1}{3} x-2[/tex]  

Here,

[tex]m = \frac{1}{3}[/tex]

As mentioned above, we have to find the slope of perpendicular,

i.e.

 (slope of perpendicular)  [tex]m[/tex] [tex]=-3[/tex]      

So,

     [tex]y=mx-2[/tex]

[tex]y=(-3)x-b[/tex]

We have

Point [tex](4,-7)[/tex] through which line passes. i.e.

[tex]x=4[/tex]

[tex]y=(-7)[/tex]

Therefore,

    [tex]-7=(-3)*4-b[/tex]

⇒  [tex]b=7-12[/tex]

    [tex]b=(-5)[/tex]

So, Equation of a perpendicular line,

 [tex]y=-3x+5[/tex]

So, Equation of a perpendicular line,  [tex]y=-3x+5[/tex] which is derived from  [tex]y=mx-b[/tex] .

Hence, we can say that the equation for the line perpendicular to the line represented by the equation  [tex]y= \ \frac{1}{3} x-2[/tex]  that passes through the point [tex](4,-7)[/tex] will be  [tex]y=-3x+5[/tex].

To know more about equation for the line perpendicular click here

https://brainly.com/question/14200719

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Scottie has 3 dimes and 1 nickel. Kristin has 2 quarters. What percent of a dollar do they have all together?

Answers

Answer: 85%

Step-by-step explanation:  

It all adds up to a total of 85 cents, and since there are 100 cents in a dollar, 85 cents equals 85% of a dollar.

Hope that helps!

evaluate the expression when c=5 and d=8. c+7d

Answers

Answer:

C+7d

5+7(8)

5+56=61

Step-by-step explanation:

Answer: 61

Step-by-step explanation:

This is an algebraic equation. You need to replace the variables with their values.

Step 1: Given c=5 and d=8.

5 + 7*8

Step 2: Solve the equation. Following the rules of PEMDAS, first multiply the 7 times the 8. Then, add 5 to that.

7 * 8 = 56

5 + 56 = 61

winnie used 12 ⅘ cups of flour to make 4 equally sized chocolate cake how many cups of flour were used for each cake?​

Answers

Answer: 3 1/5

Step-by-step explanation:

factor: 3x^2 + 2x - 21

Answers

It would be (x+3)(3x-7) if u need steps comment

Answer: (3−7)(+3)

Step-by-step explanation:

Whoever gets correct answer gets marked brainliest!! Please answer asap!
Use the graphs of f and r to describe the transformation from the graph of f to the graph of r
f(x)=2/3x+1
r(x)=3f(x)

Answers

Answer: vertical stretch by 3

Step-by-step explanation:

when g(x) = a*f(x), the graph of g(x) is vertically stretched by a

Which of the following is an arithmetic sequence? A. −2, −5, −8, −11, −14, −17, … B. 0, 5, 0, 10, 0, 15, … C. 2, 4, 8, 16, 32, … D. 5, 11, 17, 23, 29, 36, …

Answers

Choice D. Because in an arithmetic sequence, you add some value that we call common difference to the preceding term in order to get the proceeding term. Choice D looks like it because it starts at 5 and we add 6 to it it'll be 11 and another 6 it'll be 17 and so on.

Answer:

B

Step-by-step explanation: the common difference is 2.7

In an arithmetic sequence with a1= 35 and d = -5, which term is – 15?
The term - 15 is the th term of the sequence.

Answers

Answer:

            The term -15 is the 11-th term of the sequence

Step-by-step explanation:

[tex]a_n=a_1+d(n-1)\\\\-15=35+(-5)(n-1)\\\\-15=35-5n+5\\\\5n=40+15\\\\5n=55\\\\n=11[/tex]

Help me please...............

Answers

Answer:

Search it up

Step-by-step explanation:

GO ON GOOGLE sorry i couldnt help :(

-3x+3y=3 and -5x+y=13

Answers

Answer:

y = x + 3

y = 5x + 13

You bought 12 red apples and 15 green apples to make a pie.
What is the ratio of the number of red apples to the total number of apples?
4 over 9

Answers

Answer:

12 over 27 = 4 over 9

Step-by-step explanation:

12 over (12 + 15) = 12 over 27 = 4 over 9

Do yall know what 4 1/2÷6 is?

Answers

Answer:0.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

i like to turn them into improper fractions

4 and 1/2 is 9/2

6 is 6/1

to divide fractions, multiply by the reciprocal

6/1 flipped is 1/6

then multiply

9/2 x 1/6 = 9/12

simplify

3/4

At an opening of a new art gallery, the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. If the number of guests attending the opening was 56% more than expected, then how much was the final food cost?


$234.00
$357.00
$637.50
$994.50

Answers

Answer: $994.50

Step-by-step explanation:

From the question, we are informed that the owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. This means that the total cost to cater for the 150 people will be:

= 150 × $4.25

= $637.5

We are further told that the number of guests attending the opening was 56% more than expected, then the final food cost will be represented by:

= $637.5 + (56% × $637.5)

= $637.5 + (0.56 × $637.5)

= $637.5 + $357

= $994.50

Help step by step plz :)

Answers

Answer:

182i2j3jdii32i3i38839393838383383 yan yung sagot pasalamat ka nalang mamaya

Step-by-step explanation:

hakdog ses dog

6x+12=54
6x=54-12
6x=42
6x/6=42/6(divide both sides)

x=7

Solve the equation s = a + lw for the variable w

Answers

Answer:

w= [tex]\frac{-a+s}{l}[/tex]

Step-by-step explanation:

Let's solve for w.

s=a+lw

Step 1: Flip the equation.

lw+a=s

Step 2: Add -a to both sides.

lw+a+−a=s+−a

lw=−a+s

Step 3: Divide both sides by l

[tex]\frac{lw}{l} =\frac{-a+s}{l}[/tex]

Find the volume of a cube of side 9 cm in cubic metres.
Plase help me I will mark you as the brainliest.
please please please please please​

Answers

Answer:

Step-by-step explanation:

Side = 9 cm

Volume of cube = side³

                           = 9³

                           = 9 * 9 *9

                           = 729 cubic cm

Answer:

0.000729 [tex]m^{3}[/tex]

Step-by-step explanation:

Before solving, make sure to know what is being asked. The question is asking for the answer in cubic meters ([tex]m^{3}[/tex]), but the given is in cm. Let's convert 9 cm to meter first.

Take note that 1 cm is 0.01 meter, so:

9 cm is 0.09 meter

Next, remember the formula for the volume of a cube: V = [tex]a^{3}[/tex], where V is equal to volume and [tex]a^{3}[/tex] refers to the side of the cube multiplied three times.

V = 0.09 m x 0.09 m x 0.09 m

V = 0.000729 [tex]m^{3}[/tex]


How do I get the rule

Answers

Stat->edit on the calculator and put the x in the first column and the y in the second.

What does it mean by "interpret its meaning"? I underlined it for you guys.

Answers

Like what is it’s meaning in that problem.

Answer:

1: 300 miles/hour; 2: 5$/hour; 3: 10$ sales price/20$ retail price.

Step-by-step explanation:

1: You have to find the amount of distance traveled per hour.

Answer: 300 miles per hour.

2. You have to find the amount of money earned per hour.

Answer: 5$ per hour.

3: You have to find the sales price per retail price.

Answer: 10$ of sales price per 20$ of retail price.

The price of an item has risen to 297 today. Yesterday it was 110 . Find the percentage increase.

Answers

Answer:

170

Step-by-step explanation:

original value = 110

final value = 297

the increase is the difference between both values

increase = final value - original value = 297 - 110 = 187

percentage increase = (increase/original value)*100

= (187/110)*100

=170

C= 0.41 + 0.26(m-1) solve for m

Answers

Answer:

m=(c-0.15)/0.26

Step-by-step explanation:

c=0.41+0.26m-0.26

0.26m=c-0.15

m=(c-0.15)/0.26

An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length 1/2in and 1/6in. The actual tiles have length 2/3ft and 2/9ft. What is the ratio of the length of a tile in the model to the length of actual tile? What is the ratio of the area of tile in the model to the area of an actual tile?

Answers

Answer:

Ratio of the lengths = 1 : 16 and 1 : 15.71

Ratio of the Area = 1 : 251.29

Step-by-step explanation:

Model = 1/2in and 1/6in.

Actual = 2/3ft and 2/9ft.

1 ft = 12 inches

2/3 ft = 8 inches

2/9 ft = 2.67 inches

Model = 0.5 inches and 0.17 inches

Actual = 8 inches and 2.67 inches

Ratio

0.5 : 8 and 0.17 : 2.67

= 0.5 / 8 and 0.17 / 2.67

= 1 / 16 and 1 / 15.71

= 1 : 16 and 1 : 15.71

Area of the tile in the model = length × width

= (0.5 × 0.17) inches

= 0.085 inches

Area of the actual tile = length × width

= (8 × 2.67) inches

= 21.36 inches

Ratio of the area

0.085 : 21.36

= 0.085 / 21.36

= 1 : 251.29

Samuel wants to find the perimeter of his triangular garden so he can install a fence around it. The lengths of the sides are given by the following functions: f\left(x\right)=2x+4f(x)=2x+4, g\left(x\right)=3x-2g(x)=3x−2, and h\left(x\right)=4x+3h(x)=4x+3. What is the perimeter if x=3x=3?

Answers

Answer:

it is 32units

Step-by-step explanation:

Help me PLZ, I WILL GIVE ROBUX TO THE BEST ANSWER!

Answers

Answer:

GIVE ROBUX FIRST

Step-by-step explanation:

What is a constraint in math? For what situations would they be useful?

Answers

Answer:

Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!

Step-by-step explanation:

Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation

Help Help Help!!!!!!!!!!!

Answers

Answer:

1)B

2)G

3)B

4)F

5)D

an estimation we are told 5 miles is 8 km.
Convert 96 km to miles​

Answers

Answer:

60 miles.

Step-by-step explanation:

5/8=x/96

8x=480

x=60

the table shows the values for the function f(x) and g(x) which function has the greater rate of change over the interval is [5,12]

a) f(x)
b) g(x)
c) the rates vary
d) the rates are equal

sorry I forgot to include the table last time​

Answers

Answer:

the awnser is C because the other awnsers don't exactly make sense

Step-by-step explanation:

just kinda mental math

Answer:

so the answer isnt c so if i had to make an educated guess its d

What is 7 + 6x for x = -3?

Answers

Answer:

-11

Step-by-step explanation:

Answer:

the answer is -11

Step-by-step explanation:

putting the value of x in the equation:-

7+6(-3)

7+(-18)

7-18

-11

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