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Oliga [24]
2 years ago
9

2. Guelmy played 4 different video games in 2 hours. At this same rate, how many video games would he play in 5 hours?​

Mathematics
1 answer:
Inga [223]2 years ago
4 0

Answer:

10 video games. Since he is playing 2 video games every hour.

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You have 2 quarts of orange juice and 1 pint of cranberry juice to make a fruit punch.then you use 1 quart more of ginger ale th
Oliga [24]
Convert everything to pints and add them up.
1 quart is 2 pints
4 pints of OJ+1 pint of CJ+(2+4) pints of GA= 11 pints of fruit punch
3 0
3 years ago
A trough has ends shaped like isosceles triangles, with width 5 m and height 7 m, and the trough is 12 m long. Water is being pu
Svet_ta [14]

Answer:

\dfrac{dh}{dt}=21 \text{m/min}

the rate of change of height when the water is 1 meter deep is 21 m/min

Step-by-step explanation:

First we need to find the volume of the trough given its dimensions and shape: (it has a prism shape so we can directly use that formula OR we can multiply the area of its triangular face with the length of the trough)

V = \dfrac{1}{2}(bh)\times L

here L is a constant since that won't change as the water is being filled in the trough, however 'b' and 'h' will be changing. The equation has two independent variables and we need to convert this equation so it is only dependent on 'h' (the height of the water).

As its an isosceles triangle we can find a relationship between b and h. the ratio between the b and h will be always be the same:

\dfrac{b}{h} = \dfrac{5}{7}

b=\dfrac{5}{7}h this can be substituted back in the volume equation

V = \dfrac{5}{14}h^2L

the rate of the water flowing in is:

\dfrac{dV}{dt} = 6

The question is asking for the rate of change of height (m/min) hence that can be denoted as: \frac{dh}{dt}

Using the chainrule:

\dfrac{dh}{dt}=\dfrac{dh}{dV}\times \dfrac{dV}{dt}

the only thing missing in this equation is dh/dV which can be easily obtained by differentiating the volume equation with respect to h

V = \dfrac{5}{14}h^2L

\dfrac{dV}{dh} = \dfrac{5}{7}hL

reciprocating

\dfrac{dh}{dV} = \dfrac{7}{5hL}

plugging everything in the chain rule equation:

\dfrac{dh}{dt}=\dfrac{dh}{dV}\times \dfrac{dV}{dt}

\dfrac{dh}{dt}=\dfrac{7}{5hL}\times 6

\dfrac{dh}{dt}=\dfrac{42}{5hL}

L = 12, and h = 1 (when the water is 1m deep)

\dfrac{dh}{dt}=\dfrac{42}{5(1)(12)}

\dfrac{dh}{dt}=21 \text{m/min}

the rate of change of height when the water is 1 meter deep is 21 m/min

6 0
3 years ago
Read 2 more answers
Create an expression equivalent to 4(3x+2y)
a_sh-v [17]

Answer:12x+8y

Step-by-step explanation:Simplify the expression

3 0
3 years ago
Which of the following represents the correct inequality statements
m_a_m_a [10]

Answer:


Step-by-step explanation:


3 0
3 years ago
Help me please, it would be great
Nastasia [14]
AB²=5²+5²+5²=25+25+25=75
AB=5√3≈8.7
Answer:AB≈8.7
4 0
3 years ago
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