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3 years ago

A 18 gram sample of a substance that's used to detect explosives has a k value of0.125

Mathematics

1 answer:

mr Goodwill [35]3 years ago

4 0

T1/2 = ln 2 / k = ln 2 / 0.125 = 5.5

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The ticket booth at a school play sells 170 adult tickets and 150 student tickets. Find the ratio of adults to students. Write y

Zigmanuir [339]

Answer: 17:15

Step-by-step explanation:

From the question, we are informed that the ticket booth at a school play sells 170 adult tickets and 150 student tickets.

The ratio of adults to students will be:

= 170/150

= 17:15

The ratio is therefore 17:15.

5 0

3 years ago

James spent no more than $20 at the mall. Write an inequality to represent how much James spent.

zepelin [54]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Use elimination to solve each system of equations. 1. 3x+4y=29 6x+5y=43

kakasveta [241]

Answer:

Step-by-step explanation:

3x+4y=29 .......(1)

6x+5y=43 .......(2)

Multiply equation (1) by 2

6x + 8y = 58......(3)

Substracting (2) from (3)

8y - 5y = 58 - 43

3y = 15

Dividing by 3

3y/3 = 15/3

y = 5

Substituting y = 5 into (2)

6x+5y=43

6x + 5(5) = 43

6x + 25 = 43

6x = 43 - 25

6x = 18

Dividing by 6

6x/6 = 18/6

x = 3

4 0

3 years ago

The revenue R you receive for selling pizza slices depends on the price p that you charge per slice and is modeled by R =-16p

sp2606 [1]

Answer:

$p \geq 0$

Step-by-step explanation:

Given

$R(p) = -16p^2 + 80p + 5$

Required

Determine the domain of the function

To do this, we need to solve for the vertex, p of the function

$p= \frac{-b}{2a}$

Given the the general form of a quadratic function is:

$y = ax^2 + bx + c$

By comparison, we have:

$a = -16$ $b =80$ $c = 5$

So:

$p= \frac{-b}{2a}$

$p = \frac{-80}{-16 * 5}$

$p = \frac{-80}{-80}$

$p = 1$

Substitute 1 for p in $R(p) = -16p^2 + 80p + 5$

$R(1) = -16(1)^2 + 80(1) + 5$

$R(1) = -16 + 80 + 5$

$R(1) = 69$

This implies that

$(p, R) = (1,69)$

The interpretation of this is that;

For every value of p, there's a corresponding value of R.

However, because p indicates price and it's impossible to have a negative price, we can say that the minimum value of p is 0;

Hence, the domain is

$p \geq 0$

8 0

3 years ago

How many four digit numbers (0 to 9,999)

Crazy boy [7]

9000 if you don't allow numbers with leading zeros, such as 0,000.

10,000 if you do allow numbers with leading zeros.

5 0

3 years ago