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3 years ago

If you travel 342 miles and arrive to your house in 6 hours how fast were they traveling?

2 answers:

6 0

Hello there!

They/You were traveling 57 miles per hour (mph) because 342 divided by 6 = 57.

Have an awesome and successful day! -Wajiha

sladkih [1.3K]3 years ago

5 0

They were traveling 57 mph

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0.26 - 106-100 - 106

Ksenya-84 [330]

Answer:

-311.74

Step-by-step explanation:

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2 years ago

Joanna joins a CD club. She pays $7 per month plus $10 for each CD that she orders. Write an inequality to find how many CDs she

Effectus [21]

Lets use x as the number of CD's that she will buy in a month. So knowing that, our inequality can look like this. 7 + 10x < or = 100. Why? because we will have to multiply 10 with the number of CDs she will purchase in a month to get the total she spends. Hence 10 times x. She also has to add a 7 membership fee per month to this. Also, she has to remember that what she paid has to be less or equal to 100 because the problem states that she spends no more than 100 a month.

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3 years ago

The sides of the base of a right square pyramid are 4 m in length , and its slant height is 8 m. If the lengths of the sides of

hram777 [196]

Answer:

Step-by-step explanation:

We have that the total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base, therefore it would be equal to:

As = 1/2 * p * h + l ^ 2

where l are the sides that measure 4, p is the perimeter that is the sum of the sides, and since there are 4 sides then it would be 16 (4 * 4), h the inclined height is 8, replacing we are left with:

As = 1/2 * 16 * 8 + 4 ^ 2

Ace = 80

Now, they say that the sides and the tilt height are multiplied by 4, the sides now measures 16, therefore the perimeter is 64 (4 * 16), the height would be 32, replacing would be:

As = 1/2 * 64 * 32 + 16 ^ 2

As = 1280

Therefore the factor would be:

1280/80 = 16

This means that to calculate the new surface area, it must be multiplied by the square of the number by which the sides and the inclined height are multiplied, that is, 4 ^ 2 = 16.

5 0

2 years ago

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Please HELP<br><br> PICTURE SHOWN

Umnica [9.8K]

Answer:

x<−3+√1012 or x>−3−√1012

Step-by-step explanation:

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3 years ago

Discuss the continuity of the function on the closed interval.Function Intervalf(x) = 9 − x, x ≤ 09 + 12x, x > 0 [−4, 5]The f

quester [9]

Answer:

It is continuous since $\lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)$

Step-by-step explanation:

We are given that the function is defined as follows $f(x) = 9-x, x\leq 0$ and $f(x) = 9+12x, x>0$ and we want to check the continuity in the interval [-4,5]. Note that this a piecewise function whose only critical point (that might be a candidate of a discontinuity) x=0 since at this point is where the function "changes" of definition. Note that 9-x and 9+12x are polynomials that are continous over all $\mathbb{R}$ . So F is continous in the intervals [-4,0) and (0,5]. To check if f(x) is continuous at 0, we must check that

$\lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)$ (this is the definition of continuity at x=0)

Note that if x=0, then f(x) = 9-x. So, f(0)=9. On the same time, note that

$\lim_{x\to 0^{-}} f(x) = \lim_{x\to 0^{-}} 9-x = 9$ . This result is because the function 9-x is continous at x=0, so the left-hand limit is equal to the value of the function at 0.

Note that when x>0, we have that f(x) = 9+12x. In this case, we have that

$\lim_{x\to 0^{+}} f(x) = \lim_{x\to 0^{+}} 9+12x = 9$ . As before, this result is because the function 9+12x is continous at x=0, so the right-hand limit is equal to the value of the function at 0.

Thus, $\lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)=9$ , so by definition, f is continuous at x=0, hence continuous over the interval [-4,5].

5 0

3 years ago

Read 2 more answers