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kvv77 [185]
4 years ago
8

Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.

Mathematics
1 answer:
GREYUIT [131]4 years ago
6 0
a_1=3
a_2=-4a_1
a_3=-4a_2=(-4)^2a_1
\cdots
a_6=-4a_5=\cdots=(-4)^5a_1

\implies a_6=(-4)^5\cdot3=-3072
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PLS HELP.!!!!!!!!!!!
Bezzdna [24]

Answer:

35040

Step-by-step explanation:

3.48(104)+0.24(103)

=35040

7 0
3 years ago
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Which translation for: y = (x+3)^2+4<br><br> If you can't see the picture zoom in.
Savatey [412]

Answer:

The answer is B.

Step-by-step explanation:

The original graph of y = x^2 has a vertex at (0,0)

The formula for graph translations is y = (x-#)^2+#

The number inside the parentheses is a horizontal translation.

So, we are given y = (x-(-3))^2+#

The vertex of the graph moves 3 points left, since the number is negative (-3).

The number at the end of the equation is a vertical translation.

So, we are given y = (x+3)^2+4

The vertex of the graph moves 4 points up, since the number is positive (4).

The new vertex is at (-3,4)

5 0
3 years ago
Write the equation of the circle whose center is (-4,8) and has a diameter of 18
svetoff [14.1K]

Answer:

(x + 4)^2 + (y - 8)^2 = 81

or

(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.

Step-by-step explanation:

The standard form for a circle is

(x + h)^2 + (y + k)^2 = r^2

r is the radius.

You are given the diameter

r = d/2

r = 18/2

r = 9

So you already have the right hand side of the equation

(x + h)^2 + (y + k)^2 = 9*2

(x + h)^2 + (y + k)^2 = 81

You basically have h and k as well. They come from the center point.

h = 4

k = - 8

So the equation of the circle (and the answer) is

(x + 4)^2 + (y - 8)^2 = 81

One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.

It is the distance formula that is actually the formula for the circle.

6 0
3 years ago
A school club sold 300 shirts. 31% were sold to fifth graders, 52% were sold to sixth graders, and the rest were sold to teacher
Yuri [45]
You would do 300• 31/100 to get 90. I’m pretty sure that’s right
4 0
3 years ago
In a 51-inch television, the length of the screen's diagonal is 51 inches. If the screen's height is 25 inches,
DaniilM [7]

Answer:

44.452

Step-by-step explanation:

Using the Pythagorean theorem you can use:

51^2 = 25^2 + w^2

2601 = 625 +w^2

w^2 = 1976

w = 44.452

6 0
2 years ago
Read 2 more answers
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