pls help and show work! giving brainliest and thanks :)

Answer:

i) 524.25feet

ii) 11secs

Step-by-step explanation:

1) Given the height of the rocket modelled by the equation

h = -16t² + 180t + 18 where

t is in seconds

At the maximum height, the velocity of the object is zero.

v(t) = dh/dt = 0

dt/dt = -32t + 180

0 = -32t + 180

32t = 180

t = 180/32

t = 5.625secs

Get the maximum height

h = -16t² + 180t + 18

h = -16(5.625)² + 180(5.625) + 18

h = -16(31.640625)+ 180(5.625) + 18

h = -506.25+1,012.5+18

h = 524.25feet

Hence the maximum height a launched item  could reach is 524.25feet

ii) The item will hit the water at h = 0

Substitute inti the expression

h = -16t² + 180t + 18

0 = -16t² + 180t + 18

16t² - 180t - 18 = 0

Divide through by 2

8t² - 90t - 9 = 0

t = 90±√90²-4(8)(-9)/2(8)

t = 90±√8100+288/16

t = 90±√8,388/16

t = 90±91.586/16

t = 90+91.586/16

t = 181.586/16

t = 11.35sec

Hence the item hit the water after 11secs (to nearest whole number)

Answer:

2.86 hours

Step-by-step explanation:

Ricky and Lucy are 40 miles apart on bicycles heading towards each other on the same road. Ricky bicycles at 8 mph and Lucy rides at 6 mph. In how many hours will they meet?

Speed = Distance/time

Distance = Speed × time

t = ?

Hence,

8mph ×t + 6 mph × t = 40 miles

8t + 6 t = 40 miles

14t = 40 miles

t = 40/14

t = 2.86 hours

They will meet in 2.86 hours

Answer:

1.99m²

Step-by-step explanation:

From the above question

1 ft = 3.281 m

1 ft² = (3.281 m)²

Converting 21.4 ft² to m²

1 ft² = (3.281 m)²

21.4 ft² = xm²

x m² = 21.4 ft²/ (3.281 m)²

x m² = 1.9879310292 m²

Approximately :

21.4 ft² = 1.99m²

Answer:

question 1 she has 4.90 dollars left question 2 she rides 13.25 miles every week

Answer:

im just doingthis for points

Step-by-step explanation:

Answer:

slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Answer:

jgdnh svfbbth1f we ra r ti

Answer:

85is the correct answer

Answer:

3120 m³

Step-by-step explanation:

Answer:

It would be (3,5)

Step-by-step explanation:

hope this helps

Answer: -1/6

Step-by-step explanation:

Answer:

40m3 must be decreased by 40% to become 24m3.

Step-by-step explanation:

To determine in what ratio must 40m3 be decreased to become 24m3, the following calculation must be performed:

40 = 100

24 = X

24 x 100/40 = X

2400/40 = X

60 = X

100 - 60 = 40

Therefore, 40m3 must be decreased by 40% to become 24m3.

Answer:

Sin(Ф) = Opposite / Hypotenuse

We know that Opposite = 6, and

Hypotenuse = 3/4 or 0.75

So,

Sin(Ф) = 6 / 0.75

Sin(Ф) = 8

So the value of sin of Ф would be 8

Hope this helps!

Answer:

slope= m=-30 hope that helps

Answer: Low

The overlap of data set 1 and data set 2

Answer:

The answer for this equation is 53

Answer:

53

Step-by-step explanation:

I'm not sure you worded I weird to me

Answer:

its false

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

all u need to do is to cube root 1331, because it is a cube. hope i helped.

Answer:

c

Step-by-step explanation:

Answer:

n= -0.3

Step-by-step explanation:

Answer:

$3.60

282.6

80

576 in

175

45

3.12

31.7

10

36

9

36

-3,√3,3,3² and √3

1/4

√64

9

1.6

4x

1

3

Step-by-step explanation:

24*.15=3.6

200=2.5*speed

speed=80

1:1/12

x:48

576 in

35=.2*x

x=175

30*1.5=45

48*.065=3.12

.5*(2π*5)=15.7

15.7+6+10=31.7

24²+a²=26²

a²=100

a=10

Pretty sure it's just 36

Volume of a cylinder :πr²*h

10*3²*π=282.6

8:12

6:x

x=9

2x+3x=90

x=18

2*18=36

-3,√3,3,3²

1/2*1/2=1/4

√64=8

3x-12+x=24 ,

4x=36

x=9

12.5w=20

w=1.6

2xy*6x²=12x³y

12x³y/(3x²y)=4x

3²+(-2)³

9-8=1

-18-6= -24

-2-2-4= -8

-24/-8=3

Answer:

x=5

Step-by-step explanation:

move the terms 10x-9=9x-4

collect like terms 10x-9x=-4+9 and calcate

x=5  

Answer:

an attractive force that acts between all objects without contact

Step-by-step explanation:

an attractive force that acts between all objects without contact

You are pulled down by gravity when you jump

Answer:

an attractive force that acts between all objects without contact

The force of gravity, first discovered by Isaac Newton, is one of the four fundamental forces. It is a force that is always attractive, and it is exerted between all objects that have mass. Also, the force is exerted even when the two objects are not in contact.

The magnitude of the force of gravity between two objects is given by where

G is the gravitational constant

m1 and m2 are the masses of the two objects

r is the distance between the two objects

Step-by-step explanation:

MRK ME BRAINLIEST PLPZZZZZZZZZZZZZZZZ

Answer:

to find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.

Step-by-step explanation:

Answer:

The answer is 13/4

Step-by-step explanation:

I divides and cross miltiplied.

Answer:

The answer is 48

Step-by-step explanation:

Have a nice day

Answer:

Part A

The 10% rule is not met

Part B

The normal condition is not met

Step-by-step explanation:

The given data of the pieces of chocolate are;

The number of chocolates in the sample, n = 18

The number of white chocolate in the batch = 17

The number of dark chocolates in the batch = 43

Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;

The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]

Part A

The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials

The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation

Part B

The normal approximation can be assumed when we have;

n·p > 10 and n·p·(1 - p) > 10

By plugging in the values for 'n' and 'p', we have;

p = 0.28[tex]\overline 3[/tex] = 17/60

n·p = 18 × 17/60 = 5.1 < 10

n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10

Therefore the normal condition is not met.