To solve:

The diameter is already given (2.5), and it can be divided by 2 to find the radius.

2.5/2=1.25

Plug 1.25 and Pi into the equation for a sphere to find the volume:

(4/3)(1.25^3)(3.14)=8.177

Answer: About 8.18 cm^3

8 0

3 years ago

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Lines m and n are parallel. Line m is described by y=4x+2. Line n contains the point (1, -3). Which of the following is an equat

Semmy [17]

The equation of line m, in point-slope form is: y + 3 = 4(x - 1)

Recall:

The slopes of parallel lines are equal to each other.

Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.

Point-slope form equation is: $y - y_1 = m(x - x_1)$ where, $(x_1, y_1)$ is a point and m is the slope.

Equation of line m is y = 4x + 2

Slope of line m is 4

Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.

To write the equation for line if it contains the point (1, -3), substitute $(x_1, y_1)$ = (1, -3) and m = 4 into $y - y_1 = m(x - x_1)$ :

$y - (-3) = 4(x - 1)\\\\\mathbf{y + 3 = 4(x - 1)}$

Therefore, the equation of line n, in point-slope form is: y + 3 = 4(x - 1)

Learn more about point-slope equation on:

brainly.com/question/24907633

4 0

3 years ago

Gabriela has dinner at a cafe and the cost of her meal is $45.00.Because of the service, she wants to leave 15% tip.

goblinko [34]

Answer: $51.75

Step-by-step explanation:

7 0

3 years ago

Y=-4x-5 and y=-4x+1 Many solitions, one solution, or no solution

GuDViN [60]

There will be no solutions because the lines have the same slope (-4) meaning they are parallel to each other and will not cross.

Hope this helps!!

8 0

4 years ago