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2 years ago

The cube of a number decreased by two times the same number

Mathematics

1 answer:

lutik1710 [3]2 years ago

3 0

x^3-2x

Unknown # = x

Cube = ^3

Decreased = subtraction

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Kobe wants to purchase 8 marbles from the store. Each marble costs $.29, he has $2.00 in his pocket. Does kobe have enough money

tatiyna

Answer:

Step-by-step explanation:

8 marbles cost $2.32. He needs 32 more cents.

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2 years ago

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Officials begin to release water from a full man-made lake at a rate that would empty the lake in 10 weeks, but a river that can

Romashka [77]

Answer:

It takes 20 weeks to empty the lake

Step-by-step explanation:

Some rate, let's call it $R_{empty}$ empties the lake in 10 weeks and a river (with rate $R_{river}$ can fill the lake in 20 weeks. The idea behind the solution of this type of problem is always set the rate to the same units. Let's see this:

$R_{empty}=\frac{1\ lake}{10\ weeks}$ which implies that this rate empties 0.1 of the lake per week, thus, $R_{empty}=0.1/week$ .

Using the same idea, we can obtain that the filling rate of the river is:

$R_{river}=\frac{1\ lake}{20\ weeks} = 0.05 /week$

Since both rates are acting at the same time, the total rate of flowing water (either in or out the lake) would be given by:

$R_{total}=R_{empty}+R_{river}\\R_{total}= -0.1 + 0.05=-0.05/week$ , which means that the lake is being empty at a rate of -0.05 week and using the rule of three:

$\frac{0.05}{1} = \frac{1}{total\ of\ weeks} \\total\ of\ weeks = \frac{1}{0.05}=\frac{1}{\frac{1}{20} }\\ total\ of\ weeks = 20$

Thus, It takes 20 weeks to empty the lake.

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3 years ago

What is the 250th term of this sequence. Please explain. 4, 9,14,19,24

Rudik [331]

A1 = first term = 4
a2 = second term = a1+5 = 4+5 = 0
a3 = third term a1 + 5 + 5 = a1 + 5(n-1), where n is the subscript that represents which term we're discussing.

an=4+5(n-1).

Is this correct? Let's check it and find out.
What is your prediction for a2? Here, n = 2. Then a2 = 4+5(2-1), or 4+5, or 9. That agrees with the given sequence rule.

Thus, the 250th term would be 4+5(250-1). Evaluate this, please.

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3 years ago

Please help me: What's the domain? What's the range? Is it a function?

VladimirAG [237]

Answer:

$\displaystyle Yes \\ Range: Set-Builder\:Notation → [f(x)|-2 ≤ f(x) ≤ 4] \\ Interval\:Notation → [-2, 4] \\ \\ Domain: Set-Builder\:Notation → [x|0 ≤ x ≤ 7] \\ Interval\:Notation → [0, 7]$

Step-by-step explanation:

Just by looking at the graph vertically and horisontally, you can tell what the range and domain is, depending on whether the segments are closed or opened.

* This is a function because it passes the vertical line test.

** This is kind of like a sine wave.

I am joyous to assist you anytime.

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2 years ago

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Jonas read that about 760,00 people will graduate from high school in the next four years. jonas think s this number is rounded

timofeeve [1]

760,000 in the nearest hundred is 800,000 because 6 is greater than5

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3 years ago