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Naddika [18.5K]
3 years ago
8

Find the 70th term. 16,21,26,31, ...

Mathematics
1 answer:
Ahat [919]3 years ago
7 0
The 70th term will be 361 because of the airthmetic sequence an=a1+(n+1)d
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Describe in words the region of R3 reperesented by the equations or inequalities x2+y2+z2≤3
Vaselesa [24]

Answer:

The region represented by the equation is a full sphere of radius √3 centered in the origin of coordinates.

Step-by-step explanation:

<em>In a plane xy, the equation that represents a circle with center in the origin, of radius r is</em>

x^2+y^2=r^2

<em>in R³, or a space xyz, we can represent a sphere with its center in the origin, and of radius r, with the equation</em>

x^2+y^2+z^2=r^2

So, in this problem we have that

3=r^2

which means that the sphere has a radius of √3.

<u>Finally, our equation is an inequality</u>, and the sphere is equal to, and less than, the calculated radius.

Therefore, the sphere is "full" from the surface to its center.

8 0
3 years ago
Lisa has a rectangular drawing that is 43.5 centimeters by 934 millimeters. How many centimeters of wood framing will she need?
KIM [24]
Lisa's drawing has the following dimensions:
Width=43.5 cm
Length=934 mm

but 1 cm =10 mm
thus
934mm when converted into cm we shall have:
length=93.4 cm

To get the total length of material required to frame the picture, we calculate the perimeter.
P=2(L+W)
P=2(93.4+43.5) cm
P=2(136.9)
P=273.8 cm

The total length of material required will be 273.8 cm
8 0
3 years ago
a car deceased in value by 25% in the first year. purchased for $28,000, what is the car worth today.
Gwar [14]
Try this:  Principal times (1+interest rate as a decimal fraction)^(number of yrs)

In this case, Principal = $28,000; interest rate = -0.25; # of years = 1

So Decrease in value = $28,000 (0.75)^1 = $21,000.
4 0
3 years ago
Kamilah’s weight has tripled since her first birthday. If w represents the amount Kamilah weighed on her first birthday, write a
S_A_V [24]

Answer:

3*w

Step-by-step explanation:

Kamilah now weighs the triple of what she weighed on her first birthday. That means we need to multiply the first weight by 3. As the first weight is w, she now weighs 3*w.

Another possible expression is to sum 3 times w, that is w + w + w (it's equal to 3*w).

8 0
3 years ago
Please help solve !!
Goryan [66]

Answer:

pray to god

Step-by-step explanation:

3 0
3 years ago
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