so you should write 8 in a box then under the box write what place it is like hundredth and you do the same for the rest
8 0 7 , 8 2 5
hundred thousandth^ and so on^
Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.
<h3>Equation for
speed</h3>
Speed is the ratio of total distance travelled to total time taken. It is given by:
Speed = distance / time
Let a represent Karen speed and b represent Melinda speed, hence:
a = b + 10
a - b = 10 (1)
Also:
a = d₁ / 1
d₁ = a
b = d₂/ 1 hour
d₂ = b
Since they are 108 miles apart, using Pythagoras:
108² = d₁² + d₂²
a² + b² = 11664
(b + 10)² + b² = 11664
b = 71.2 mph, a = 81.2 mph
Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.
Find out more on speed at: brainly.com/question/4931057
Answer:
length = 25 feet and width = 17 feet
Step-by-step explanation:
area (A ) = length × width, hence
A = (x + 10)(x + 2) ← expand factors
= x² + 12x + 20
given A = 425, then
x² + 12x + 20 = 425 ( subtract 425 from both sides )
x² + 12x - 405 = 0 ← in standard form
(x + 27)(x - 15) = 0 ← in factored form
equate each factor to zero and solve for x
x + 27 = 0 ⇒ x = - 27
x - 15 = 0 ⇒ x = 15
but x > 0 ⇒ x = 15, therefore
length = 15 + 10 = 25 feet and width = 15 + 2 = 17 feet
Answer:
a) 0.7063; b) 0.0228; c) 0.2709
Step-by-step explanation:
We use z scores for these problems. The formula for a z sore is
For part a,
We want P(5 ≤ X ≤ 11):
z = (5-9.6)/2.3 = -4.6/2.3 = -2
z = (11-9.6)/2.3 = 1.4/2.3 = 0.61
The area under the curve to the left of z = -2 is 0.0228. The area under the curve to the left of z = 0.61 is 0.7291. This makes the area between them
0.7291 - 0.0228 = 0.7063
For part b,
We want P(X ≤ 5):
z = (5-9.6)/2.3 = -4.6/2.3 = -2
The area under the curve to the left of z = -2 is 0.0228.
For part c,
We want P(X > 11):
z = (11-9.6)/2.3 = 1.4/2.3 = 0.61
The area under the curve to the left of z = 0.61 is 0.7291. However, we want the area to the right; this means we subtract from 1:
1-0.7291 = 0.2709
Answer:
y=8(3)^x
y=8(3)
x
Step-by-step explanation: