Which is the best estimate for the quotient of 1,002.821 ÷ 0.499?

Mathematics

2 answers:

scoray [572]2 years ago

6 0

D
I think.. I'm not 100% sure, but I would put D

Naddika [18.5K]2 years ago

3 0

I would say d. That looks closer to the correct answer than the rest of the choices.<span />

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What are compatiable<br> numbers

Zielflug [23.3K]

Numbers that are close in value to the actual numbers

5 0

2 years ago

Answer the problem :)

Tomtit [17]

The domain is the value of x. In this case, -3≤x≤7
the range is the value of y. in this case, -1≤y≤9

this is not a function, because the same x value has two corresponding y values. For example, when x=5, y=0 or y=8

It IS a function if every x value has only one corresponding y value.

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2 years ago

if f is a differentiable function and f(0)=-1 and f(4)-3 then which of the following must be true there exists a c in [0,4] wher

iragen [17]

Answer:

True, see proof below.

Step-by-step explanation:

Remember two theorems about continuity:

If f is differentiable at the point p, then f is continuous at p. This also applies to intervals instead of points.
(Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.

If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.

7 0

2 years ago

Record for Boston Marathon's wheelchair division is 1 hour, 18 minutes, and 27 seconds.

aleksley [76]

1 hr 18 minutes and 27 seconds hmmm

there are 60 minutes in 1 hr, thus 18 minutes is 18/60 hrs or 0.3hr.

so 1hr 18min is 1.3 hrs

there are 60 seconds in 1 minute and 60 minutes in 1 hr, thus 60*60 seconds in 1hr, or 3600 seconds, so, 27 seconds is just 27/3600 hrs, or 0.0075 hrs.

so, 1.3 hr or 1.3000 hr for that matter plus 0.0075, is just 1.3075 hrs.

a)

so, they covered 26.2 miles in 1.3075 hrs, so the average speed is just 26.2/1.3075, or about 20.0382409177 miles/hr

b)

$\bf \begin{array}{ccll}
miles&hrs\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
26.2&1.3075\\
30&h
\end{array}\implies \cfrac{26.2}{30}=\cfrac{1.3075}{h}\implies h=\cfrac{1.3075\cdot 30}{26.2}$

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3 years ago

How many places do you need to move the decimal to the left to write the

NikAS [45]

Answer: 6 x 10^12

Step-by-step explanation:

Move the decimal to the left so there is one non-zero digit number left of the decimal point. This will be the exponent placed on 10

3 0

2 years ago