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1 year ago

Find the 8th term of the geometric sequence 3, 12, 48,...

1 answer:

4 0

$\begin{gathered} \text{The first term is 3, the common ratio is 4} \\ \text{That means;} \\ a=3,r=4 \\ \text{The nth term is } \\ T_n=ar^{(n-1)} \\ 8th=3\times4^{(8-1)} \\ 8th=3\times4^7 \\ 8th=3\times16384 \\ 8th=49152 \end{gathered}$

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Find the slope of the line passing through (3,-1) and (6,4).

dybincka [34]

Answer:

The answer to your question is: m = 5/3

Step-by-step explanation:

Data

A (3, -1)

B (6, 4)

Formula

$m = \frac{y2 - y1 }{x2 - x1}$

Process

$m = \frac{4 + 1}{6 - 3}$

$m = \frac{5}{3}$

4 0

3 years ago

Read 2 more answers

ryan rides his bicycle 5 miles in 3/4 hour. how many miles can he ride at the same rate in 1 hour? (in fractions)

stepladder [879]

Answer:

20/3

Step-by-step explanation:

If Ryan rides his bike 5 miles in 3/4 of an hour, then he rides 5/3 miles in 1/4 of a hour (divide both by 3). To get to a full hour from 1/4, you need to multiply it by 4. You must do the same for 5/3. 5/3*4 is equal to 20/3.

6 0

2 years ago

Yaro buys a baseball cap for $9.50. He also buys a new baseball. Yaro speads $13.50 altogether.

VMariaS [17]

Answer:

13.5 = 9.5 + x

x=4

Step-by-step explanation:

In this problem, the price of the baseball cap, which is $9.50, and a baseball, whose price is unknown (and therefore must be the variable), total $13.50. So, to set up the equation add the two prices and set them equal to the total, 9.5+x=13.5.

Then, using the subtraction property of equality subtract 9.5 from both sides. This means x=4, so the baseball cost 4 dollars.

4 0

2 years ago

‼️Someone Please help Me the graph is in the picture ‼️ Will make brainliest

baherus [9]

Answer:

Step-by-step explanation:

The equation $V=-32t+256$ and the graph below describe the velocity V in feet per second of a ball <em>t</em> seconds after it is shot into the air.

To find the balls velocity after seven seconds, substitute t = 7 into the function expression:

$V(7)=-32\cdot 7+256\\ \\=-224+256\\ \\=32\ ft/sec$

6 0

3 years ago

Find the equation of a line that runs through

MAVERICK [17]

Answer:

The equation of a line that runs through (-6,2) and is parallel to a line with a slope of (-1/4) is x + 4y - 2 = 0

Step-by-step explanation:

Slope of the parallel equation is m 1 = (-1/4)

<em>If the two liner are parallel the, slope of both lines are equal.</em>

⇒The slope of the equation of line = m2 = m1 = -(1/4)

The point (x0, y0) = (-6,2)

Now, by THE POINT SLOPE FORMULA: The equation of a line is given as

( y - y0) = m (x -x0)

Now, here the equation of line is given as:

$y - 2 = (\frac{-1}{4}) (x - (-6)) \implies 4(y-2) = -1(x + 6)$

or, 4y - 8 + x + 6 = 0

or, x + 4y - 2 = 0

Hence, the required line equation is x + 4y - 2 = 0

7 0

3 years ago