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Alexxx [7]
2 years ago
14

A tortoise is walking in the desert. It takes 4 minutes to walk 6.4 meters. What is its speed?

Mathematics
1 answer:
vlabodo [156]2 years ago
6 0

Step-by-step explanation:

speed= <u>distance</u>

time

speed= <u> </u><u> </u><u>6</u><u>.</u><u>4</u><u> </u>

4×60

speed= 0.026 m/s

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The equation tan(x- pi/3) is equal to _____.
kherson [118]

Answer:

B

Step-by-step explanation:

Using the expansion

tan(x - y) = \frac{tanx-tany}{1+tanxtany}, then

tan(x - \frac{\pi }{3})

=  \frac{tanx-tan(-\frac{\pi }{3}) }{1+tanxtan(-\frac{\pi }{3}) }

note that tan( -\frac{\pi }{3}) = - tan(\frac{\pi }{3}) = - \sqrt{3}

= \frac{tanx-(-\sqrt{3}) }{1+tanx(-\sqrt{3}) }

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6 0
3 years ago
Read 2 more answers
1. Writing an equation for an exponential function by
Naya [18.7K]

Answer: 1) t(n)=0.6(2)^n

2) f(x)=10(5)^x

Step-by-step explanation:

1) Let the function that shows the thickness of the paper after n folds,

t(n) = ab^n         ---------(1)

Since, According to the question,

Initially the thickness of the paper = 0.6

That is, at n = 0, t(0) = 0.6

By equation (1),

0.6 = a(b)^0\implies 0.6 = a

Hence the function that shows the given situation,

t(n) = 0.6 b^n       -----------(2)

Again when we fold the paper the thickness of the paper will be doubled.

Thus, at n = 1, t(1) = 1.2

By equation (2),

1.2 = 0.6 b^1\implies 2 = b

Thus, the complete function is,

t(n) = 0.6 (2)^n    

2) Let the function that is passing through the points (-2, 2/5) and (-1,2),

f(x) = ab^x         ---------(1)

For f(x) = 2, x = -1

By equation (1),

2= ab^{-1}       ---------(2)

Also, For f(x) = 2/5, x = -2

Again, By equation (1),

\frac{2}{5}= a(b)^{-2}

\implies \frac{2}{5}=ab^{-1}b^{-1}=2b^{-1}

\implies \frac{2}{5}=\frac{2}{b}

\implies 2b=10

\implies b = 5

By substituting this value in equation (2),

We get, a = 10

Hence, from equation (1), the function that is passing through the points (-2, 2/5) and (-1,2),

f(x) = 10(5)^x

5 0
3 years ago
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