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

How is -9 + (-4) the same as -9 + 4?

Answers

-9 - (-4) is the same as -9 + 4 because subtracting a negative is the same as addition. I'm not quite sure how to represent it with the integer chip model, but basically, taking away -4 from -9 is the same as adding positive 4 to -9.

Perhaps draw the 9 negative chips and place the four negative chips under it, then cross out those that correspond to show that it is increasing in sum?

what is true of BLOOD cells​

Answers

Answer:

Your blood carries oxygen and nutrients to all of the cells in your body. Blood cells also fight infection and control bleeding. Most blood cells are made in your bone marrow. They are constantly being made and replaced.

Step-by-step explanation:

Hope this helps!

Brainliest please.

Answer: It carries oxygen. Red blood cells also remove carbon dioxide from your body, transporting it to the lungs for you to exhale. Red blood cells are made in the bone marrow. They typically live for about 120 days, and then they die.

PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 monthly house payment. The bank has already preapproved them for a 30-year loan with 5.4% interest. What is the maximum house price John and Kathy can afford?

Answers

Answer: $249,300

Step-by-step explanation:

The exact formula would be if I think this is right

PV = PMT(1-(1+r)^-n)/r with r & n adjusted for periodicity

= 1400(1-(1+.054/12)^-360)/(.054/12)

= $249,318.47

which you can round off to, say, $249,300 <------

note:

counterchechecked with a financial calculator

Answer:

239,600

Step-by-step explanation:

if i have a 74.23% in math class and i get a 0 on a Summative Assignment, what is my new grade?


Y'all are smart, please help

Answers

Not good, at all man, you should really invest in a tutor.

2 ones and 96 thousandths as a decimal number

Answers

Answer:

2.096

Step-by-step explanation:

7. Robert poys for his family to go bowling. He pays an initial fee
to rent shoes for everyone and then pays a certain amount
per game that his family plays as shown in the graph
How much did Robert pay to rent shoes for
everyone
Total Cost
What was the cost per game at the
bowling alley?
c. Write an equation to represent the situation
Number of Gomes

Answers

Answer:

a)Robert pay $12 to rent shoes for  everyone

b)Cost of each game is 4.5

c)y = 4.5x+12

Step-by-step explanation:

Refer the attached graph

a)How much did Robert pay to rent shoes for  everyone ?

y - intercept will give the rent shoes for everyone

y intercept is point where the graph of a function or relation intersects the y -axis of the coordinate system.

So, from the graph we can see that at x = 0 , y = 12

So, from the graph we can see that the no. of games is 0 . So, Total cost is 12

Thus Robert pay $12 to rent shoes for  everyone

b)What was the cost per game at the  bowling alley?

So, we are supposed to find the slope

Two pints from graph :

[tex](x_1,y_1)=(0,12)(x_2,y_2)=(2,21)m = \frac{y_2-y_1}{x_2-x_1}=\frac{21-12}{2-0}=4.5[/tex]

So, Cost of each game is 4.5

c)Write an equation to represent the situation  Number of Gomes

General equation : y = mx+c

So, y = 4.5x+12

An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, right parenthesis of electricity used and an administrative fee of \$3.50$3.50dollar sign, 3, point, 50. The company charged Zhao \$63.25$63.25dollar sign, 63, point, 25 for using 800\,\text{kWh}800kWh800, start text, k, W, h, end text of electricity. Zhao uses the equation, 63.25=800r+3.5063.25=800r+3.5063, point, 25, equals, 800, r, plus, 3, point, 50 to represent the situation.

Answers

Step-by-step explanation:

The equation is given by :

63.25=800r+3.50

Here,

63.25 is the electric company charges

3.5 is an administrative fee

800 is charge per kilowatt hours

r is rate per kilowatt hour

In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.

We can solve it as follows :

63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)

59.75=800r

[tex]r=\dfrac{59.75}{800}\\\\r=0.0746[/tex]

Pls help me ASAP!!!!!

Answers

Answer:

2 4/5

Step-by-step explanation:

You first see how many times the bottom number can fit in the top number. The number 5 can go in 14 two times. It can't go in three because then it would be over 14. So you take that "2" and that is your hole number and you are left with 4/5. so 2 4/5

Answer:

It is c, 2 4/5

Step-by-step explanation:

5 goes into 14 2 times with 4/5 left over

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

What is the relationship between ∠1 and ∠8?

Answers

Answer:

Alternate Exterior Angles

Step-by-step explanation:

The relationship between [tex]\angle 1[/tex] and [tex]\angle 8[/tex], are Alternate Exterior Angles, because those two angles are in the outside of the transversal line and they are in  opposite sides.

Which must be present in order for factoring by grouping to apply? - The ratios of the first two terms and the second two terms must be positive. - The ratio of the first two terms must be equivalent to the ratio of the last two terms. - There must be at least three terms. - The first and the last terms must be perfect squares.

Answers

Answer:

For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms

Step-by-step explanation:

Here, we want to select which of the options must be present in order for factoring by grouping to apply.

The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms

What this mean is that we must have an equal ratio two times

This practically plays out each time we are to factorize quadratic expressions

For example, in the case of

x^2 -12x + 20

This can be written as;

x^2 - 10x - 2x + 20

which can then be written as x(x-10) -2(x -10)

= (x-2)(x-10)

The first two terms have a ratio of ;

x^2/-10x while the last two terms have a ratio -2x/20

Thus, we have -x/10 and -x/10

We can see here that the ratios of both sets are equivalent

Answer:

The ratio of the first two terms must be equivalent to the ratio of the last two terms

we want to factor the following expression 3x^2-16y^5 which pattern can be used to factor the expression U and V are either constant integers or single variable expressions

Answers

Answer: we cant use any patterns

Step-by-step explanation:

A runner sprinted for 117 yards (yd). How many feet (ft) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. ft mi yd 1760 yd 1 mi 3 ft 1 ft 12 in 1 yd Ratios: 1 mi 1760 yd 1 yd 3 ft 12 in 1 ft . in Х 117 yd 1 ft 0 x IK IT LOOKS CONFUSING SO LOOK AT THE PICTURE HELP ME PLEASE!!!!:)​

Answers

Answer:

117 yd/1 x 3 ft/1 yd = 351 ft

Step-by-step explanation:

[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]

A runner sprinted for 351 feet.

Given that, a runner sprinted for 117 yards (yd).

How to convert yards to feet?

To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.

Here, multiply the ratio 117/1 by 3/1.

That is, 117 × 3 =351 ft

Therefore, a runner sprinted for 351 feet.

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What’s 17/5 as a decimal?

Answers

It’s 3.4 because all your doing is dividing 17 into 5

10x^2-13x-3 how to factor

Answers

(2x-3)(5x+1)
That’s just kinda how math works man

Idk how to do this soooo helppp

Answers

Answer:

basically u do the formulas and plug them in.

Step-by-step explanation:

MULTIPLE CHOICE Determine which statement follows
logically from statements (1) and (2).
(1) If a triangle is equilateral, then it has three congruent sides.
(2) If all the sides of a triangle are congruent, then each of its
angles measures 60.
A If a triangle is not equilateral, then it cannot have congruent angles.
B A figure with three congruent sides is always an equilateral triangle.
C If a triangle is not equilateral, then none of the angles equals 60.
D If a triangle is equilateral, then each of its angles measures 60.

Answers

I think it's D. If a triangle is equilateral, then each of it's angles measures 60

If a triangle is equilateral, then each of its angles measures 60°. Therefore, option D is the correct answer.

What is an equilateral triangle?

An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60° therefore, it is also known as an equiangular triangle.

The given statements are

(1) If a triangle is equilateral, then it has three congruent sides.

(2) If all the sides of a triangle are congruent, then each of its

Here, if a triangle is equilateral, then each of its angles measures 60°.

Therefore, option D is the correct answer.

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please help me with this wuiz

Answers

Answer: Distribute the 10

Step-by-step explanation: PEMDAS (p is parentheses)

12. What is a pronoun?

Answers

Answer:

Definition. A pronoun (I, me, he, she, herself, you, it, that, they, each, few, many, who, whoever, whose, someone, everybody, etc.) is a word that takes the place of a noun. In the sentence Joe saw Jill, and he waved at her, the pronouns he and her take the place of Joe and Jill, respectively.

Which equation is the inverse of y = 16x2 + 1?
O y=+T6
x-1
O y =
16
+
Oy AVTO
INX-1
Оy=

Answers

Step-by-step explanation:

[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]

The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let us find the inverse of the equation y = 16x² + 1.

To find inverse we need to replace y with x and x with y in the original equation to obtain:

x = 16y² + 1

Now solve for y in terms of x by rearranging the terms

x - 1 = 16y²

Divide both sides by 16

y² = (x - 1)/16

Take square root on both sides.

y = ±√[(x - 1)/16]

Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:

y = ±√[(x - 1)/16]

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3x-5=x+1



Helpppppppppppp

Answers

Answer:

your answer is x= 3

Hope this helps!

First you subtract 3x-x since they are like terms turning the equation into 2x-5=1. Then you add 5+1 because they are like terms making the equation 2x=6. Last you divide 6/2 to get x=3

Bill can hit a bucket of 32 golf balls in 17 hours.
How much could he hit in 23 hours

Answers

17x = 32

x = 1.882

23x = 23 x 1.882 = 43.286 = 43 balls

Which is the simplest form of this algebraic expression?
-(6x + 2y) + 4(2x - y)

Answers

The simplest form of -(6x+2y)+4(2x-y) = -2(-x+3y).

Answer:

2x-6

Step-by-step explanation:

The first step is to distribute

The second step is to combine like terms and since its an expression you will not have a solution

A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month. If this situation were represented by a function, what would be the slope?
50

25

75

0

Answers

The 25 dollars because you already payed for the phone and you would have to keep paying them 25 dollars each month

Answer:

slope is 25 because the equation is y=25x+50

Step-by-step explanation:

heres the official answer

A group of 80 ants went to collect some honey. 1/2 lost their way and 1/4 got eaten by a passing anteater. How many ants came back?

Answers

Answer:

23

Step-by-step explanation:

A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.

Answers

Answer:

The number of tickets for sale at $26 should be 3300

The number of tickets for sale at $40 should be 1700

Step-by-step explanation:

Use 2 equations to represent the modifiers within the problem:

[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]

Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.

[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]

Some friends went to dinner. They left a 15% tip. If their meal cost was $28.00, what was the
amount of tip they left?

Answers

Answer:

$4.20

Step-by-step explanation:

0.15 x $28.00=$4.20.

while on vacation in washington Dc, the cab ride for the dulles airport to the hotel is 15 miles. the

Answers

While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip A.

Which equation is not a linear function?
y = x2
y = x + 2
y = 2x
y = x - 2

Answers

Y= x2 is not linear it is a parabola. There is you me answer hope it helps
y=x2 is not a linear function cause x supposed to be at the end of the number

Marissa sold 32 boxes of cookies for $4.35 each. She spent approximately 24.5% of the money she earned on new shoes and used the rest to buy more boxes of cookies. How much did Marissa's new shoes cost? (plz help)

Answers

$10.50 dollars for her new shoes
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