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stiks02 [169]
3 years ago
5

Mr. mole left his burrow

Mathematics
1 answer:
pav-90 [236]3 years ago
8 0

Answer:Did he ever come back?

Step-by-step explanation:

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Find the sum of the first six terms of the sequence.<br><br><br> S6 = ⇒ 84
k0ka [10]

Answer:

Explained below.

Step-by-step explanation:

Consider the series is a set of first 6 natural numbers.

Sum of first <em>n</em> terms is:

\text{Sum of n terms}=\frac{n(n+1)}{2}

\text{Sum of first 6 terms}=\frac{6(6+1)}{2}

                               =3\times7\\=21

Consider the series is an arithmetic sequence.

Sum of first <em>n</em> terms is:

S_{n}=\frac{n}{2} [2a+(n-1)d]

Here<em>,</em>

<em>a</em> = first term

<em>d</em> = common difference

Consider the series is an geometric sequence.

Sum of first <em>n</em> terms is:

S_{n}=\frac{a_{1}\cdot(1-r^{n})}{(1-r)}

Here<em>,</em>

<em>a₁</em> = first term

<em>r</em> = common ratio

7 0
3 years ago
What is the solution of the following question?<br> x^2+10x+25=12
zalisa [80]
Make equal to 0
minus 12from both sides
x^2+10x+13=0
we can't factor so use quadratic formula

x= \frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
x= \frac{-10+/- \sqrt{10^{2}-4(1)(13)} }{2(1)}
x= \frac{-10+/- \sqrt{100-52} }{2}
x= \frac{-10+/- \sqrt{48} }{2}
x= \frac{-10+/- 4\sqrt{3} }{2}
x= -5+/- 2\sqrt{3}


x= -5+ 2\sqrt{3} or -5- 2\sqrt{3}

aprox
x=-1.5359 or -8.4641





3 0
3 years ago
Read 2 more answers
Please help. I've been trying to figure this out for an hour and I still don't understand how it's 72. I feel really stupid beca
rosijanka [135]

Answer:

C. 72\pi

Step-by-step explanation:

The radius of the circle is 24 units, then the area of the whole circle is

\pi r^2=\pi \cdot 24^2=576\pi \ un^2.

The shaded circle is limited by 45° angle, so its area is

\dfrac{45}{360}=\dfrac{1}{8}

of the area of the whole circle.

The area of the shaded circle is

\dfrac{1}{8}\cdot 576\pi =72\pi \ un^2.

3 0
3 years ago
9 batteries cost 13 dollars.It's ratios and Rates
8090 [49]
One battery costs $1.44.

The unit rate would be
\frac{1.44}{1 battery}

To get that answer, you would have to divide 13 ÷ 9.

I'm not sure if this is what you were looking for, but if it was, I hope I helped! :-)
4 0
3 years ago
Read 2 more answers
What is the equation of the line through (5,1) with a slope of -3?
PilotLPTM [1.2K]

Answer:

C

Step-by-step explanation:

The equation of a line is given by the formula  y-y_1=m(x-x_1)

Where x_1 is the x-coordinate (it is given as 5)

y_1 is the y-coordinate (it is given as 1), and

m is the slope (it is given  as -3)

Plugging in all the info into the formula we have:

y-y_1=m(x-x_1)\\y-1=-3(x-5)

From the answer choices, we see that C is the correct answer.

7 0
3 years ago
Read 2 more answers
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