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3 years ago

Why is a symbol used to separate the ones place from the tenth place in decimal numbers

1 answer:

7 0

A decimal
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for example:
5.0
The 5 is on the ones place,the 0 is on the tenths place.The decimal seperates the ones and the tenths place.
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~Hope this helped

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A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as

Juliette [100K]

Answer:

the rate of change between 4 and 5 makes it nonlinear . . .so the 3 to 5 would be the closest to that

Step-by-step explanation:

The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is 0.5 s and 7 s.

Step-by-step explanation:

Given:

Initial speed of debris is, $s=120\ ft/s$

The height 'h' of the debris above the ground is given as:

$h(t)=-16t^2+120t$

As per question, $h(t)=56\ ft$ . Therefore,

$56=-16t^2+120t$

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

$-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0$

Using quadratic formula to solve for 't', we get:

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s$

Therefore, the debris will reach a height of 56 ft twice.

When time $t=0.5\ s$ during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at $t=7\ s$ , the height is 56 ft.

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3 years ago

10% of a group is left handed. If a random sample of 12 switches is selected, what is the probability of exactly two of the swit

Paraphin [41]

Assuming that 10% is the probability of a switch being defective (since left-handedness has nothing to do with the problem):
For a binomial distribution, probability(r out of n) = (nCr) (p)^r (q)^(1-r)
p = 10% = 0.1, q = 1 - p = 0.9
r = 2 switches, n = total of 12 switches
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probability = 66(0.1)^2 (0.9)^10
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3 years ago

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Mandarinka [93]

The answer is f(x) = 75, g(x) = 5x, h(x) = 5x + 75

Let x be the number of lessons.

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