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3 years ago

10

What is the 7th term of the sequence 4, 12, 36, 108...

1 answer:

Anit [1.1K]3 years ago

8 0

4, 12, 36, 108, 324, 972, 2916

7th term = 2916

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D=1/3fk, solve for f

Stella [2.4K]

Answer:

f=3d/k

Step-by-step explanation:

3 0

4 years ago

The point slope form of the equation of the line that passes through (-5-1) and (10.-7) is

Natalka [10]

Answer:

The standard form of the equation for this line can be:

l: 2x + 5y = -15.

Step-by-step explanation:

Start by finding the slope of this line.

For a line that goes through the two points $(x_0, y_0)$ and $(x_1, y_1)$ ,

$\displaystyle \text{Slope} = \frac{y_{1} - y_{0}}{x_{1} - x_{0}}$ .

For this line,

$\displaystyle \text{Slope} = \frac{(-1) - (-7)}{(-5) - 10} = -\frac{2}{5}$ .

Find the slope-point form of this line's equation using

$\displaystyle \text{Slope} = -\frac{2}{5}$ , and
The point $(-5, -1)$ (using the point $(10, -7)$ should also work.)

The slope-point form of the equation of a line

with slope $m$ and
point $(x_{0}, y_{0})$

should be $l:\; y - y_{0} = m(x - x_0)$ .

For this line,

$\displaystyle m = -\frac{2}{5}$ , and
$x_0 = -5$ , and
$y_0 = -1$ .

The equation in slope-point form will be

$\displaystyle l:\; y - (-1) = -\frac{2}{5}(x - (-5))$ .

The standard form of the equation of a line in a cartesian plane is

$l: \; ax + by = c$

where

$a$ , $b$ , and $c$ are integers. $a \ge 0$ .

Multiply both sides of the slope-point form equation of this line by $5$ :

$l:\; 5 y + 5 = -2x -10$ .

Add $(2x-5)$ to both sides of the equation:

$l: \; 2x + 5y = -15$ .

Therefore, the equation of this line in standard form is $l: \; 2x + 5y = -15$ .

7 0

3 years ago

At the beginning of a snowstorm, Camden had 10 inches of snow on his lawn. The snow then began to fall at a constant rate of 2.5

Setler [38]

Answer:

He would have a total of 20 inches of snow on his lawn

Step-by-step explanation:

2.5 x 4 = 10

10 + 10 = 20

8 0

3 years ago

Loook below giving brainliest

Leya [2.2K]

To find the Surface area of a prism, we need to calculate the sum of the area of each of the shapes that make up the net of the object.

(11 x 15 x 2) + (5 x 15 x 2) + (5 x 11 x 2)

= 590ft ^2

Hope this helps!!

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3 years ago

Solving for systems of linear equations graphically: Mastery Level

m_a_m_a [10]

Answer: Hello, This is how you solve

Step-by-step explanation: graph the first equation.

Graph the second equation on the same rectangular coordinate system.

Determine whether the lines intersect, are parallel, or are the same line.

Identify the solution to the system. If the lines intersect, identify the point of intersection.

6 0

3 years ago