Step-by-step explanation: In algebra, we use the word slope to describe how steep a line is and slope can be found using the ratio rise/run between any two points that are on that line.

The ratio rise/run is the equal to the rate of change

or the change in y/change in x.

In algebra, the rate of change or the change in y/change in x or

the rise/run is also called the slope of a line.

4 0

3 years ago

PLEASE HELP ASAP! WILL GIVE BRAINLEIST! Find the area of the shaded region. Use pi = 3.14

Semmy [17]

Answer:

Step-by-step explanation:

Square

The side length of the square = 8 cm

The area of the square = s^2

The area of the square = 8^2 = 64

Circle

r = d/2

r = 8/2

r = 4

Area of the circle = pi r^2

Area of the circle = 3.14 * 16

Area of the circle = 50.24

Shaded Area

Area of the Shaded area = area Square - Area Circle

= 64 - 40.24

= 23.76

4 0

3 years ago

Marti is filling a 10– inch diameter ball with sand to make a medicine ball that can be used for exercising. To determine if the

Mice21 [21]

Answer:

Option A. $30\ pounds$

Step-by-step explanation:

step 1

Find the volume of the sphere ( medicine ball)

The volume is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=10/2=5\ in$ ----> the radius is half the diameter

Convert inches to feet

Remember that

1 ft=12 in

$r=5\ in=5/12\ ft$

assume

$\pi=3.14$

substitute

$V=\frac{4}{3}(3.14)(5/12)^{3}$

$V=0.3029\ ft^{3}$

step 2

Find the weight of the ball

Multiply the volume in cubic foot by 100

$0.3029*100=30.29\ pounds$

Round to the nearest pound

$30.29=30\ pounds$

6 0

4 years ago

he pulse rates of 179 randomly selected adult males vary from a low of 43 bpm to a high of 115 bpm. Find the minimum sample size

malfutka [58]

Answer:

Step-by-step explanation:

Given that:

Low = 43bpm

High = 115 bpm

Error = 3

α = 90%

To find the range estimate :

Standard destviation = (high - low) / 4

Standard deviation = (115 - 43) / 4

Standard deviation = 72/4 = 18

The sample size,(n) :

n = [(Zα/2 * sd)/E] ²

2 - tail = (Zα/2) = 1.645

[(Zα/2 * sd)/E] ² = [(1.645 * 18) / 3]² = (29.61/3)²

= 97.41

Sample size = 97

5 0

4 years ago