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Fantom [35]
3 years ago
13

A starting carpenter can build a rough table in 1 hour, and a rough chair in 45 minutes. A finishing carpenter can finish each t

able in 48 minutes and finish each chair in 1 hour. Both carpenters work for no more than 8 hours each day. This situation is modeled in the graph below, where x represents the number of tables, and y represents the number of chairs.
Is it possible for the two carpenters to complete four tables and five chairs in a day?

A) Yes
B) No
C) There is not enough information.

Mathematics
1 answer:
Delvig [45]3 years ago
3 0

Answer:

I believe it is b

Step-by-step explanation:


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Sodium-24 has a half-life of 15 hours.
belka [17]
\bf \textit{Amount for Exponential Decay using Half-Life}\\\\
A=I\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &900\\
t=\textit{elapsed time}\to &90\\
h=\textit{half-life}\to &15
\end{cases}
\\\\\\
A=900\left( \frac{1}{2} \right)^{\frac{90}{15}}\implies A=900\left( \frac{1}{2} \right)^6
8 0
3 years ago
The hypotenuse of a right triangle is 37 mm. One leg of the right triangle is 12 mm. What is the length of the other leg?
rjkz [21]
Use the pythagorean theorem:
a^2+b^2=c^2
12^2+b^2=37^2
144+b^2=1369
b^2=1225
\sqrt{b^2} = \sqrt{1225}
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Your answer is 35mm.
3 0
3 years ago
If y=3 sin (-4x), find dy/dx​
svlad2 [7]

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the derivatives.

Hence, y = 3 sin(-4x), we use the chain rule here.

dy/dx =3 ( cos(-4x).-4)

====> dy/dx = -12 cos(-4x)

6 0
3 years ago
Cas walks 3/5 miles in 24 min at a steady pace, how long does it take him to walk 2 miles?
san4es73 [151]
Your answer is 80 mins, or an hour and 20 mins. You simply turn that fraction to a decimal by diving 3 with 5. This should turn out to be 0.6. Then you multiply the 24 mins with the 2 miles and it turns out to be 48. After this, you divide 48 by 0.6 and you get 80. 
3 0
3 years ago
A swimming pool can be filled in 15 hours if water enters through a pipe​ alone, or in 23 hours if water enters through a hose a
kykrilka [37]

Answer:

9.08 hours

Step-by-step explanation:

in order to fill 1 pool

fill rate by pipe = 1 pool / 15 hours = 1/15 pool per hour

fill rate by hose = 1 pool / 23 hours = 1/23 pool per hour

combined rate = fill rate by pipe + fill rate by pool

= 1/15 + 1/23 = 38/345 pool per hour

since:

38/345 pool ----------->  will take 1 hour

1 pool --------------------> will take 1 hour x (345/38) = 9.08 hours

4 0
3 years ago
Read 2 more answers
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