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Hitman42 [59]
3 years ago
5

P varies directly as q. When q = 31.2, p = 20.8. Find p when q = 15.3.

Mathematics
2 answers:
Len [333]3 years ago
8 0
The answer is 10.2 because you cross multiply Q over P.  <span />
taurus [48]3 years ago
8 0
15.3/31.2 = x/20.8
31.2x = 20.8*15.3
31.2x = 318.24
x=318.24/31.2
x=15.01
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The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func
alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

h(t)=-16t^2 + 96t

Solution:

To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.

To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq  0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq  0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible  \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)

Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq  0\\-112 \geq  0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq  0\\80 \geq  0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq  0\\-112 \geq  0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

0 \leq  t \leq  6

The height will be positive in the above interval.

7 0
3 years ago
Read 2 more answers
If YV = 28 in, find the length of vyw
max2010maxim [7]

Answer:

I’m sorry I don’t know

Step-by-step explanation:

3 0
3 years ago
Given the recursive function f(n) = f(n - 1) - 3 ; f(1) = 9 , what would be the first three terms of the sequence ?
Ann [662]

The first three terms of sequence are 9 , 6 , 3

<em><u>Solution:</u></em>

Given the recursive function f(n) = f(n - 1) - 3

Where f(1) = 9

To find: First three terms of sequence

Substitute n = 2 , n = 3 and n = 4 in given recursive function

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f(n) = f(n - 1) - 3

f(2) = f(2 - 1) - 3

f(2) = f(1) - 3

f(2) = 9 - 3 = 6

f(2) = 6

Thus second term is 6

When n = 3

f(3) = f( 3 - 1) - 3

f(3) = f(2) - 3

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Thus the third term is 3

When n = 4

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6 0
3 years ago
3. Ally has a piece of string that is 6 yards 2 feet long. How many inches of string does she have?​
inna [77]
240 inches will be the correct answer.
5 0
2 years ago
Excuse me but can someone help me with this I have to do it before tomorrow
Vedmedyk [2.9K]

Answer:

8)  Onaje is correct

9a) answers could be:  3(6y) or 4y + 6y + 8y  or 2(2y + 3y + 4y)

 b) all answers simplify to be 18y

Step-by-step explanation:

Paula is not correct because 16t + 9t ≠ 16 + 9 + 2t

16t + 9t only equals 25t

4 0
3 years ago
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