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viva [34]
3 years ago
5

Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars travele

d at the same speed.
Car 1
350 miles
in 5 hours
Car 2
240 miles
in 4 hours
Car 3
320 miles
in 5 hours
Car 4
420 miles
in 6 hours​
Mathematics
1 answer:
madam [21]3 years ago
6 0

Answer:

Car 1 and Car 4

Step-by-step explanation:

Car 1-70mph

Car 2-60mph

Car 3-64mph

Car 4-70mph

So, its Car 1 and Car4

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Because of Theorem 5.47 any function that is continuous on (0, 1) but unbounded cannot be uniformly continuous there. Give an ex
almond37 [142]

Answer:

f: (0,1) \to \mathbb{R}

f(x) = \sin(1/x)

Step-by-step explanation:

<u>f is continuous</u> because is the composition of two continuous functions:

g(x) = \sin(x) (it is continuous in the real numbers)

h(x) = 1/x (it is continuous in the domain (0,1))

<u>It is bounded</u> because -1 \leq \sin(\theta) \leq 1

<u>And it is not uniformly continuous</u> because we can take \varepsilon = 1 in the definition. Let \delta > 0 we will prove that there exist a pair x,y\in \mathbb{R} such that |x-y|< \delta and |f(x) -f(y)|> \varepsilon = 1.

Now, by the archimedean property we know that there exists a natural number N such that

\frac{1}{N} < 2\pi \delta

\Rightarrow \frac{1}{2\pi N} < \delta.

Let's take x = \frac{1}{2\pi N + \pi/2} and y = \frac{1}{2\pi N + 3\pi/2}. We can see that

|x-y| = \frac{1}{2\pi N + \pi/2}-\frac{1}{2\pi N + 3\pi/2}

And also:

|f(x)- f(y)| = |f(2\pi N + \pi/2) - f(2\pi N + 3\pi/2)| = |1 - (-1)| = 2 > \varepsilon

And we conclude the proof.

8 0
3 years ago
What is the distance between points A and B? Use absolute value to explain your answer.
Alona [7]

Answer:

Input Data :

Point 1(xA,yA)(xA,yA) = (4, 3)

Point 2(xB,yB)(xB,yB) = (3, -2)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2

Solution :

Distance between two points = √(3−4)2+(−2−3)2(3-4)2+(-2-3)2

= √(−1)2+(−5)2(-1)2+(-5)2

= √1+251+25

= √2626 = 5.099

Distance between points (4, 3) and (3, -2) is 5.099

7 0
4 years ago
Help ASAP PLEASE!!!<br>​
ale4655 [162]

Answer:

3rd option

Step-by-step explanation:

6 0
3 years ago
Write the Expression in standard form by expanding and combining like terms 4(8m-7n) +6(3n-4m)
Elina [12.6K]
Standard for is x × 10 ^I
where,
I = indice
10 > x < 0
you cannot write this is standard form with putting in what they stand for. However you can simplify it -

4(8m-7n) +6(3n-4m)
32m - 28n + 18n - 24m
8m - 10n

but hey I am from England do what we call standard form might be different
3 0
3 years ago
Suppose the total rent for the apartment is increased by $150. How much would Sam's share be then??? Help please
lys-0071 [83]
$150 divided amongst himself and friends (3) which equals 50, so add $50 to Sam’s share.
7 0
3 years ago
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