the ball reach after bouncing four time? how many bounces does it take for the ball to reach a height of less than one inch?

Answers

Answer 1

Answer:
After the 'n'th bounce, the ball returns to a maximum height of

   (100) times (0.75)^n .

-- After 4 bounces, the maximum height is (100) (0.75)^4 = 31.64 inches.

-- To look for the maximum height of 1 inch,    (100) (0.75)^x = 1

Let's take the log of each side: log(100) + x log(0.75) = 0

Subtract log(100) from each side: x log(0.75) = -log(100)

Divide each side by log(0.75) :     x = -log(100) / log(0.75).

log(100) = 2 . So ... x = -2 / log(0.75) = -2 / -0.124939 = 16.00785

So the ball returns to a slim hair more than 1 inch high on the 16th bounce,
and returns to definitely less than 1 inch high on the 17th bounce.

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Helpp ill mark u as brainlist
A number x multiplied by 25 is 320.

2x + 3y = 34x + 6y = 10
One Solution
Infinitely Many Solutions
No Solutions

Answers

No solution because in the end it says -4 = 0 which is not true

The function for the cost of materials to make a shirt is f(x) = five sixths x + 5, where x is the number of shirts. The function for the selling price of those shirts is g(f(x)), where g(x) = 5x + 6. Find the selling price of 18 shirts. (A. 106; B. 120; C. 185; D. 196)

Answers

Answer:

A. 106

Step-by-step explanation:

Given function that represents the cost of materials to make x shirts,

$f(x) =(5)/(6)x+5----(1)$

Also, the function for the selling price of x shirts,

$g(f(x))$

Where, $g(x)=5x+6---(2)$

From equation (1),

$g(f(x))=g((5)/(6)x+5)$

$=5((5)/(6)x+5)+6$

$=(25)/(6)x+25+6$ ( From equation (2) )

$=(25)/(6)x+31$

For 18 shirts, i.e. x = 18

The selling price would be,

$g(f(18))=(25)/(6)* 18+31=75+31=106$

Option 'A' is correct.

Prove that

(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan A = $(sinA)/(cosA)$ , cot A = $(cosA)/(sinA)$

Consider the left side

(1 + cotA + tanA)(sinA - cosA)

each term in the second factor is multiplied by each term in the first factor.

1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)

= sinA - cosA + cosA - $(cos^2A)/(sinA)$ + $(sin^2A)/(cosA)$ - sinA ( collect like terms )

= $(sin^2A)/(cosA)$ - $(cos^2A)/(sinA)$

= ( sinA × $(sinA)/(cosA)$ ) - ( $(cosA)/(sinA)$ × cosA )

= sinAtanA - cotAcosA

= right side ⇒ proven

Can someone find me this quotient 0.77/-0.9

Answers

the answer is -0.856

Use a factor tree to find the prime factorization of 164

Answers

On the first hand, 164 is not a prime number. Prime numbers are numbers that can only be divided by 1 or itself which is also greater than 1 thus;
Prime divisor of 164= 2,2,41 or 2^2 x 41
Here is the factor tree of 164:
164
/     \
2     82
/       \
2      41
Prime factorization of a number determines the set of prime integers multiplied together to make the original number.

Answer:

2 * 2 * 41

Step-by-step explanation:

Jayvie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn't have a membership, so she pays $8.25 each movie she sees. Which equation shows when they will pay the same amount of money?

Answers

Answer:

27 + 6x = 8.25x

Number of movies (x) = 12

Step-by-step explanation:

Given that:

VIP membership :

Membership fee = $27 per year

Amount per movie = $6

Hence ;

Membership fee + (amount per movie * number of movies)

27 + 6x - - - (1)

Non member :

Amount paid per movie = $8.25

amount per movie * number of movies)

8.25x - - (2)

Let Numbe of movies = x

In other to pay the same amount of money :

Equate (1) and (2)

Equation :

27 + 6x = 8.25x

8.25x - 6x = 27

2.25x = 27

X = 12 movies

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Can someone please help me with all and can you tell me if my answer are right or not

Given the functions f (x) = x^2 + 4 and g (x) = 3x+ 8 what is a solution for the equation ? x^2 + 4 = 3x + 8 A. 0 B. 1 C. 2 D. 4

A square has a perimeter of 12 cn. What is its area