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zlopas [31]
2 years ago
10

URGENT HELP ASAP, PLEASE HELP WITH MY GRADE 11 MATH!

Mathematics
1 answer:
cluponka [151]2 years ago
4 0

Half-Life Formula:

Amount remaining = (Initial amount)[ (1/2)^(time / half-life) ]

Amount remaining = ?

Initial amount = 200 mg

Time = 2 hours = 120 minutes

Half-Life = 20 mins

---Notice that I changed the time from hours to minutes. The time and half-life time need to be in the same unit.

A = (200)[ (1/2)^(120/20) ]

A = (200)(1/2 ^6)

A = (200)(1/64)

A = 3.125

Answer: 3.125 mg remain

Hope this helps!

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Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o
denis23 [38]

Option D. 96 is the correct answer.

Explanation:

Let the higher grade be = x

Let the lower grade be = y

As given, The difference of the two grades is 16

x-y=16 or x=16+y   .... (1)

The sum of one-eighth of the higher grade and one-half of the lower grade is 52.

\frac{1x}{8}+\frac{1y}{2}=52   ... (2)

Putting the value of x=16+y in equation (2)

\frac{16+y}{8}+\frac{y}{2}=52

\frac{16+y+4y}{8}=52

\frac{16+5y}{8}=52

16+5y=416

5y=400

y=80

As x=16+y

x=16+80 = 96

Hence, higher grade is 96.


8 0
3 years ago
Is this right yes or no
Leviafan [203]

Answer:

Yes

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Given kite LNOM, what are the lengths of MX and XN ?
nasty-shy [4]

Answer:

Step-by-step explanation:

MX = XN

5r² + 2r + 52 = 4r² + 12r + 27

5r² - 4r² + 2r - 12r + 52 - 27 = 0

r² - 10r + 25 = 0

(r - 5)² = 0

r - 5 = 0

r = 5

4r² + 12r + 27

4•5² + 12•5 + 27

4•25 + 60 + 27

100 + 60 + 27

187

The Second one

I hope I helped you.

8 0
3 years ago
Is f(x) = 2x – 3 a function
vesna_86 [32]

Answer: yes

Step-by-step explanation:

If you graph the function on desmos or a graphing calculator, you will see that it passes the vertical line test.

The graph is a function when no one x value has two y values, this is why we use the vertical line text to see if the graph is a function.

3 0
3 years ago
Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. y = x3/4, x = 0
vovangra [49]

Answer:

7.92 cubic units

Step-by-step explanation:

The volume formed is V = ∫πx²dy

Now, since y = x³/4, x = ∛(4y). Also if x = 0, y = 0³/4 = 0 and the curve intersects the line y = 1. So the limits of integration are y = 0 to y = 1

So, V = ∫₀¹πx²dy

= ∫₀¹π[ ∛(4y)]²dy

= π(∛4)²∫₀¹[ ∛(y]²dy

= π(∛4)²∫₀¹y^³/₂dy

= π(∛4)²[y^⁵/₂]₀¹

= π(∛4)²[1^⁵/₂ - 0^⁵/₂]

= π(∛4)²[1 - 0]

= π(∛4)²

= 7.92 cubic units

3 0
3 years ago
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