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1 year ago

True or False? (–3)^22 is greater than (–2)^33

Mathematics

2 answers:

puteri [66]1 year ago

7 0

Answer:

true

Step-by-step explanation:

(-3)^22 -> to the power of an even number -> answer is positive

(-2)^33 -> to the power of an odd number -> answer is negative

positive # > negative #

Marysya12 [62]1 year ago

5 0

Answer:

True

Step-by-step explanation:

<u>First let's compare them.</u>

(-3)²²
(-2)³³

-3 raised to an even power will give a positive number.

-2 raised to an odd power will give a negative number.

Therefore, (-3)²² > (-2)³³ is a true statement.

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A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t

Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

$h=-16t^2+200t$

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

$350=-16t^2+200t$

The last is a quadratic equation, which can be put in the form $at^2+bt+c=0$ and solved applying the formula:

$t=\frac{-b+-\sqrt{b^2-4ac} }{2a}$

So, let's put the equation on the form $at^2+bt+c=0$ adding $16t^2$ and subtracting $200t$ to each side of the equation; the result is:

$16t^2-200t+350=0$

So, we note that a=16, b=-200, and c=350.

Then,

$t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10$

$t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40$

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

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3 years ago

Create a word problem that the equation 4x + 32 = 164 could represent.

Svetlanka [38]

It is a hot summer day, and Jade is trying to save money to buy a new shoe. She has 32 dollars, and she plans to sell smoothies at her neighborhood for four dollars a cup. At the end of the day, she is left with a total of 164 dollars in her wallet. How many smoothies did Jade sell?

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2 years ago

Read 2 more answers

You count customers going into the 5 pizza shops in your city. You get 56, 98, 43, 112, and 106. What is the median number of cu

tigry1 [53]

Answer:

Median = 98

Step-by-step explanation:

Organize the numbers in order from least to greatest: 43,56,98,106,112.

Than begin crossing the numbers out

56,98,106

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Answer:

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Answer:

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