3 years ago

Is it greater than, equal to, or less than

Mathematics

1 answer:

Kisachek [45]3 years ago

8 0

Answer: Greater than

Answer: Greater than

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The graph shows the solution to the initial value problem y'(t)=mt, y(t0)= -4

Charra [1.4K]

$y'(t)=mt
\\
\\ y=\int {mt} \, dt=m \int{t} \,dt=m \frac{t^2}{2} +C \\ \\y= \frac{mt^2}{2}+C$

Now find equation of the graph. It passes through the point (2,3), and intersects y-axis at -2.

$y=at^2+b
\\
\\3=a\times 2^2-2
\\
\\3=4a-2
\\
\\5=4a
\\
\\a= \frac{5}{4} 
\\
\\y=\frac{5}{4} t^2-2 \\ \\y= \frac{m}{2} t^2+C
\\ \\ \frac{m}{2} = \frac{5}{4} 
\\
\\m= \frac{5}{2} 
\\
\\C=-2
\\
\\y(t_0)=-4
\\
\\-4= \frac{5}{4} t_0^2-2
\\
\\ -2= \frac{5}{4} t_0^2
\\
\\ t_0^2=- \frac{8}{5} 
\\
\\t_0=\pm \sqrt{- \frac{8}{5} }$

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3 years ago

A zookeeper has 8 frogs. Each frog eats 3/4 cups of food. How much food does the zookeeper need in total?

Kruka [31]

Answer:

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HELP<br> If 45 cookies will server 15 students. How many cookies are needed 30 students?

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90 cookies will be needed for 30 students

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Read 2 more answers

Kesha has scored 85 92 84 71 and 94 on her previous five Tess what score did she just she need to receive an excess of the avera

morpeh [17]

85+92+84+71+94+x /6>86

Multiply both sides by 6

426+x>516

Subtract 426 from both sides

X>90

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3 years ago

A 25 foot ladder rests against a buliding . The base lf the ladder is 15 feet away from the base of the building. At what height

professor190 [17]

X^2+15^2=25^2
X^2+225=625
Isolate X
X^2=400
Take the square root on both sides
X=positive and negative 20 but in this case the negative is thrown out because you can't have a negative side
Answer: 20

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3 years ago