Answer:
10.5 miles
Step-by-step explanation:
Let b represent the distance traveled by boat. The relation between speed, distance, and time is ...
time = distance / speed
We are told the total time and the total distance so we have ...
b/7 + (14-b)/2 = 3.25
2b +7·14 -7·b = 14·3.25 . . . multiply by 14
3.75·14 = 5b . . . . . . . . . . . .add 5b-14·3.25
b = 10.5 . . . . . . . . . . . . . . . divide by 5
They traveled 10.5 miles by boat.
_____
<em>Check</em>
10.5/7 +3.5/2 = 1.5 +1.75 = 3.25 . . . . the answer checks OK
They spent 1.75 hours walking 3.5 miles to the dock and 1.5 hours traveling 10.5 miles by boat.
Answer:
Step-by-step explanation:
the shape above is a cuboid and volume of a cuboid
= length x breath x height
=length=3cm
breath= 7cm
height= 3cm
volume= (3x7x3)cm =63 cm^3
The polynomial p(x)=x^3-6x^2+32p(x)=x 3 −6x 2 +32p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 6, x, squar
STatiana [176]
Answer:
<h3>The remainder is zero</h3>
Step-by-step explanation:
Given the polynomial function p(x)=x^3-6x^2+32, if x-4 is a factor, then <u>we can find the remainder if the polynomial is divided by x -4.</u>
First we need to equate the function x - 4 to zero and find x;
x - 4 = 0
x= 0+4
x = 4
Next is to substitute x = 4 into the expression p(x)=x^3-6x^2+32
p(x)=x^3-6x^2+32
p(4)=(4)^3-6(4)^2+32
p(4) = 64 - 96 + 32
p(4) = 0
Hence the remainder when x-4 is divided by the polynomial is zero
A) works for all three sets of ordered pairs.
Answer:
Hope this helped
Step-by-step explanation:
Circumference = 750 m / 3
Circumference 250 m
Circumference = pi * D where pi = 3.1415926 and D is the diameter in meters
Solving for the diameter
250 m = pi * D
D = 250 m / pi
D = 79.58 m is the diameter of the circular field
Solving for the radius
r = 1/2 D where r is the radius of the circular field
r = 39.59 m is the radius of the circular field
