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Lorico [155]
4 years ago
8

Equivalent expression with fewer terms to -9x-3x+15+x-4

Mathematics
2 answers:
kykrilka [37]4 years ago
3 0

Answer:

−11x+11

Step-by-step explanation:

Nikolay [14]4 years ago
3 0
-11x+11 I think lol I’m just solving it
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Sheirley spelled 12 of her 15 spelling words correctly on the test what percent grade did Shirley get?
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An escalator lifts people to the second floor of a building, 26 ft above the first floor. The escalator rises at a 30° angle. To
Luden [163]

The distance traveled to the top of the escalator to the bottom is 52 ft

Here, we want to calculate the distance a person on the escalator travel from the bottom to the top of the escalator

Firstly, we need a diagrammatic representation to understand this

We can form a right-angled triangle with the information given in the question.

The diagram is shown as below;

From the question, by simply calculating the hypotenuse of the right-angled triangle, we can get the distance traveled from the bottom of the escalator to the top

Let us call this distance d

We can now use the appropriate trigonometric ratio

The trigonometric ratio to use here is the sine since we have the opposite and we want to calculate the hypotenuse

Mathematically;

\begin{gathered} \sin \text{ 30 = }\frac{26}{d} \\  \\ d\text{ = }\frac{26}{\sin \text{ 30}} \\  \\ d\text{ = }\frac{26}{0.5} \\  \\ d\text{ = 52 ft} \end{gathered}

7 0
1 year ago
A radioactive substance is decaying exponentially. If there are initially 15 grams of the substance and after 3 hours there are
sukhopar [10]

Answer:

Ok, an exponential decay is written as:

P(t) = A*(1 - r)^t

Where A is the initial population, r is the rate of decay and t is the unit of time.

We know that the initial population is 15g

then:

P(t) = 15g*(1 - r)^t

And at t = 3hs, the populations is 5g

P(5h) = 5g = 15g*(1 - r)^5

5/15 = 1/3 = (1 - r)^5

(1/3)^(1/5) = (1 - r) = 0.8

Now, the half life time of the sustance is t = x, such that the population reduces to it's half:

P(x) = A/2 = 15g/2 = 7.5g

Then:

7.5g = 15g*0.8^x

7.5g/15g = 1/2 = 0.8^x

Now, remember that if we have:

a = b^x

then

x = ln(a)/ln(b)

ln(1/2)/ln(0.8) = x = 3,11 hours

3 0
3 years ago
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