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Advocard [28]
3 years ago
14

Picture with question

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0

Answer:

-4, 20, -100, 500, -2500

Step-by-step explanation:

use the formula ar^(n-1)

where a is the first term

r is the common ratio

n is the nth term

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If the sum of three consecutive integers is 36, what is the smallest of these integers?
DedPeter [7]
Let the three consecutive equals:
x, x+1, x+2

sum:
x+(x+1)+(x+2) = 36
3x + 3 = 36
x+1 = 36/3
x+1 = 12
x=12-1
x=11
5 0
3 years ago
Please help me i dont understand this
DiKsa [7]
You have to find slope which is Y=MX+B so it would be m as slope so u then solve
5 0
3 years ago
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You are working for a company that creates tubes that measure 10 cm long and have a diameter of 6 cm. The tubes need to be cut j
Nataly_w [17]

Answer:

A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2

And replacing the value of \pi =3.14 we got:

A = 78*3.14 cm^2= 244.92 cm^2

Step-by-step explanation:

For this case we have the long who represent the height 10 cm and the diameter is 6cm. So then the radius is given by:

r = \frac{D}{2}= \frac{6cm}{2}= 3cm

And the surface area for a cylinder is given by this formula:

A= 2\pi r^2 +2 \pi rh

And replacing the info given we got:

A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2

And replacing the value of \pi =3.14 we got:

A = 78*3.14 cm^2= 244.92 cm^2

4 0
3 years ago
Sin^2(x/2)=sin^2x <br> Find the value of x
Veronika [31]
\sin^2\dfrac x2=\sin^2x
\dfrac{1-\cos x}2=1-\cos^2x
1-\cos x=2-2\cos^2x
2\cos^2x-\cos x-1=0
(2\cos x+1)(\cos x-1)=0
\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}

The first case occurs in 0\le x for x=\dfrac{2\pi}3 and x=\dfrac{4\pi}3. Extending the domain to account for all real x, we have this happening for x=\dfrac{2\pi}3+2n\pi and \dfrac{4\pi}3+2n\pi, where n\in\mathbb Z.

The second case occurs in 0\le x when x=0, and extending to all reals we have x=2n\pi for n\in\mathbb Z, i.e. any even multiple of \pi.
6 0
3 years ago
A rectangular package can be sent through the mail only if the sum of its length and girth is not more than 120". find the dimen
Bingel [31]
Knowing that a square gives the optimum area; 

120=s²
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Therefore, the length should be ≈10.95" 

Hope I helped :) 
4 0
3 years ago
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