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3 years ago

What is the sum of 16 quotient of 3

1 answer:

8 0

X + y = 16 (1)
x/y = 3 (2)
-------
x + y = 16
x = 16 - y
1. Substitute x into equation 2
16-y/y = 3
16 - y = 3y
16 = 4y
y = 4
2. Now substitute y into equation 1
x/y = 3
x/4 = 2
x = 12
Therefore, x = 12, y = 4

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What is the value of the geometric sequence for which a1=10 and r=0.5?

tiny-mole [99]

The formula for an infinite geometric sequence is the following:

$S_{∞}= \frac{a_{1}}{1-r}$

Just substitute the values of $a_{1}$ and r into the formula.

$S_{∞}=\frac{10}{1-0.5}$
$S_{∞}=\frac{10}{0.5}$
$S_{∞}= 20$

Therefore, the answer is 20.

3 0

3 years ago

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

How do you do this problem??

ELEN [110]

It is a.
You multiply 9.3 and 2.5 together and get 23.25
Then just add the exponents 6+3 is 9
So the answer is 23.25 x 10^9
Hope this helps!!

7 0

3 years ago

The price that a company charged for a computer accessory is given by the equation 100-10x^2 where x is the number of accessorie

Mashutka [201]

Answer:

i am not sure maybe look it up on google

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the answer to: 7(w+2)+0.5w=5

Zepler [3.9K]

First, distribute the 7:

7w + 14 + 0.5w = 5

Combine like terms:

7.5w + 14 = 5

7.5w = -9

Divide both sides by 7.5 to solve for w:

w = -9/7.5 = -1.2

The answer is -1.2

6 0

3 years ago