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Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s

(b) 54.14 m/s

Step-by-step explanation:

The average speed over the given time interval [a,b]: = [tex]\frac{y(b)-y(a)}{b-a}[/tex]

Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by [tex]y = 56t − 1.86t^2.[/tex]

(a)

(i) average speed = [tex]\frac{y(2)-y(1)}{2-1}[/tex]

[tex]=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}[/tex]

[tex]=50.42[/tex] m/s

(ii) average speed = [tex]\frac{y(1.5)-y(1)}{1.5-1}[/tex]

[tex]=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}[/tex]

[tex]=51.35[/tex]m/s

(iii) average speed = [tex]\frac{y(1.1)-y(1)}{1.1-1}[/tex]

[tex]=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}[/tex]

[tex]=52.094[/tex]m/s

(iv) average speed = [tex]\frac{y(1.01)-y(1)}{1.01-01}[/tex]

[tex]=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}[/tex]

[tex]=52.2614 [/tex]m/s

(v) average speed = [tex]\frac{y(1.001)-y(1)}{1.001-01}[/tex]

[tex]=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}[/tex]

[tex]=52.27814 [/tex]m/s

(b) [tex]y(1)=56(1)-1.86(1)^2[/tex]

[tex]=56-1.86[/tex]

[tex]= 54.14[/tex] m/s

Answer:

B. 30

Step-by-step explanation:

Given.:

m<4 = 2x°

m<5 = 4x°

Required:

Value of x

Solution:

<4 and <5 are angles in a straight line, therefore:

m<4 + m<5 = 180°

Substitute

2x + 4x = 180°

6x = 180°

x = 180/60

x = 30

Answer:

Col6umn is Column3 so Colum1n is Colum6n so=Column is Column2

Step-by-step explanation:4

The answer is                                                                                                                                  

      S                                                     .For many reasons    

Therefore,

Answer:

area of 105° segment = 74.2 in²

Step-by-step explanation:

area of entire circle = πr² = (3.14)(9²) = 254.34 in²

area of 105° segment = (105/360)(254.34) = 74.2 in²

Answer:

Ans is 2 x square + 2x - 4 because the sign in this ans contains +, -  divided into three part. which is trinomial

plz rate 5 star + thanks i need 1 brainliest to reach in expert

Answer:

$13,537.79

Step-by-step explanation:

The future value of the account after 5 years will be 762 dollars.

Compound interest is calculated for the principle borrowed as well as previous interest accumulated.

According to the given question 600 dollar is deposited in an account at 5 % interest compounded quarterly for 5 years.

Given, Principle(P) = 600, Rate(r) = 5 %, Time in years(n) = 5.

We know the formula for Amount(A) compounded quarterly is

A = P[ 1 + (r/4)/100)]⁴ⁿ.

A = 600[ 1 + (5/4)/100]⁴ⁿ.

A = 600[ 1 + 1.2/100]⁴ˣ⁵

A = 600[ 1 + 0.012]²⁰.

A = 600[ 1.012]²⁰.

A = 600(1.27).

A = 762 dollars.

learn more about compound interest here :

https://brainly.com/question/14295570

#SPJ2

Answer: 904.779

Step-by-step explanation:

v = pi x radius^2 x height

Answer:

904.78 cm^3

Step-by-step explanation:

The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3

Answer:

35

Step-by-step explanation:

Answer:

Step-by-step explanation:

23 x 180/ 12 = 345°

Answer:

4

Step-by-step explanation:

3+3 is not 9, but 3x3 is.

So 2+2 is 4

--

hope it helps

Answer:

4 or 6 so sorry if im wrong

Answer:

5

Step-by-step explanation:

Answer: 1/3 quart

Step-by-step explanation: since they both have the same denominator, you can just do 5-2=3. that gives you 3/9, which can be simplified by dividing both the numerator and denominator by 3 which equals 1/3.

Answer:

82.7

Step-by-step explanation:

Answer: the answer is that the mean would become smaller.

Step-by-step explanation: if you have the original 9 values, the mean is 85.5 repeating. Adding 65 and 75 to the data set changes the mean to 82.72 repeating.

Hope this helps! Please give brainliest ;)

equation:3.25x+1.2=40.2

ansrew:x=12

Answer:

X = 1/2

Step-by-step explanation:

Answer:

2 cups of flour : 1 cup of shortening

Step-by-step explanation:

So lets gather our information.

We know it takes 6 cups of flour for the reciepe.

We also know it takes 3 cups of shortening.

To find the ratio, put the two number values in a fraction:

cups of flour/cups of shortening

=

6/3

This says for 6 cups of flour, there are 3 cups of shortening

We can simplyfy this to:

2/1

This says for 2 cups of flour, there is 1 cup of shortening.

Answer:

2/1

Hope this helps! ;)

The next answer is "an exponential."

Step-by-step explanation: The answers after that are 3.195 and 1.106

Answer: first part: an increasing

Second part: An exponential

Third part: 3.915, 1.106

Step-by-step explanation: i just did it

Answer:

Step-by-step explanation:

B looks good

Answer:

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link: bit.[tex]^{}[/tex]ly/3gVQKw3

Step-by-step explanation:

Answer:

19.8 years old

Step-by-step explanation:

If Z=(x-μ)/σ where Z=-1.32, σ=3.2, and μ=24, then:

-1.32=(x-24)/3.2

-4.224=x-24

19.776=x

19.8

Therefore, the age of a concert attendee with a z-score of -1.32 is 19.8 years old.

Answer:

b or c

Step-by-step explanation:

Answer:

7.48 in.

Step-by-step explanation:

Given :-

And we need to find out the second leg. So here we can use the Pythagoras Theorem , which establish the relationship between the sides of a right angled triangle. As ,

[tex]:\implies[/tex] p² + b² = h²

[tex]:\implies[/tex] 5² + b² = 9²

[tex]:\implies[/tex] 25 + b² = 81

[tex]:\implies[/tex]b² = 81 -25

[tex]:\implies[/tex] b² = 56

[tex]:\implies[/tex] b = 7.48 in

Hence the measurement of second leg is 7.48 inches .

it represents a origin on the plane