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3 years ago

Here is an easy puzzle:

Mathematics

1 answer:

s2008m [1.1K]3 years ago

3 0

The five rings would be 1g, 2g, 4g, 8g, 16g

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A circle has a circumference of 6. it has an arc of length 1/3

Maksim231197 [3]

Answer:

Ф = 10°

Step-by-step explanation:

Regarding arc length, s: s = r·Ф, where Ф is the central angle in radians and r is the radius.

We need to find the central angle, Ф, in this problem.

We know that C = circumference = 6, and that this leads to r = 6/π.

Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:

Ф in radians = 1/3 / (6/π), or Ф = π/18 rad.

π 180°

Converting this into degrees, we multiply ------ by ----------

18 π rad

obtaining: Ф = 10°

3 0

3 years ago

Read 2 more answers

PLEASE ANSWER ASAP!!

Rufina [12.5K]

Answer:

The instantaneous rate of increase of f(x) at $x_{0} = 3$ is 3.
One possible equation of this line is y = 3x - 16.
The line is tangent to the graph of y = f(x). The slope of the line is the same as the instantaneous rate of increase of f(x) at $x_{0} = 3$ .

Step-by-step explanation:

$\begin{aligned}&\lim_{h\to 0}{\frac{f(3+h)-f(h)}{h}}\\ =&\lim_{h\to 0}\frac{1}{h} \cdot [(3^{3} + 3 \times 3^{2}h +3\times 3h^{2} + h^{3})- 4(3^{2} + 2\times 3h + h^{2}) + 2 \\[-1em] &\phantom{\lim_{h\to 0}\frac{1}{h}\cdot []} -(3^{3} -4\times 3^{2} + 2)]\\ = &\lim_{h \to 0}\frac{h^{3} + 5h^{2} +3h}{h}\\=& \lim_{h \to 0}{h^{2}} + \lim_{h \to 0}{5h} + \lim_{h\to 0}{3}\\ =& 3\end{aligned}$ .

$f(3) = 3^{3} - 4\times 3^{2} + 2 =-7$ .

In other words, the graph of y = f(x) passes through the point (3, -7) where $x = 3$ .

The point-slope form of a line in a cartesian plane is:

$y - y_0 = m (x - x_0)$ .

For this line,

$(3, -7)$ is the point on the line, while

$3$ is the slope of the line.

The equation of this line will thus be

$y - (-7) = 3(x - 3)$ .

That's equivalent to

$y = 3x - 16$ .

Refer to the diagram attached. The line touches the graph of y = f(x) at x = 3 without crossing it. The line here is thus a tangent to the graph of y = f(x) at x = 3. The slope of the line represents the instantaneous rate of increase of f(x) at $x_{0} = 3$ .

4 0

3 years ago

How many different 5-digit whole

Lerok [7]

Answer:

120

Step-by-step explanation:

this 5 interrogative marks are our 5 digit number

for the first place you have 5 choices(2, 3, 4, 5, 6)

for the second:4

for the third:3

for the fourth:2

and for the fifth:1

you multiply this choices

5×4×3×2=120

4 0

2 years ago

Need the answer asap

Vikki [24]

B I think.correct if I’m wrong

3 0

2 years ago

Use the change of base formula to evaluate log5 44. Then convert log5 44 to a logarithm in base 2. Round to the nearest thousand

OverLord2011 [107]

Answer:

its 20

Step-by-step explanation:

count it

7 0

3 years ago

Read 2 more answers