Answer:
1 mile = 1,609 meters is the key to converting the rates of the two swimmers
Step-by-step explanation:
there are 60 seconds in a minute and 60 minutes in an hour
so 1.8 meters/sec x 60 sec/min x 60 min/hr = 6480 meters/hr
now we convert meters to miles
6480 meters/1 hr x 1 mile/1609 meters = roughly 4 miles/hr (4.027)
or we can convert the other rate to meters/sec
2.5 mi/hr x 1hr/60 min x 1min/60 sec = 0.00069444 mi/sec
then convert miles to meters
0.00069444 mi/sec x 1609meters/ 1mi = roughly 1.1 meters/sec (1.117)
Answer:
Step-by-step explanation:
S=student cost; T=teacher cost
.
32S+3T=$127 . Multiply this by 2.
64S+6T=$254 Subtract this below
.
25S+2T=$97.50 . Multiply this by 3.
75S+6T=$292.50
64S+6T=$254 . Subtract this (from above.)
.
11S=$38.50
S=$3.50
ANSWER 1: Student tickets cost $3.50.
.
32S+3T=$127
32($3.50)+3T=$127
$112+3T=$127
3T=$15
T=$5.00
ANSWER 2: Teacher tickets cost $5.00.
.
CHECK:
25S+2T=$97.50
25($3.50)+2($5.00)=$97.50
$87.50+$10.00=$97.50
$97.50=$97.50
Answer:
f'(x) = b
Step-by-step explanation:
f(x) = bx
f' (x) = d/dx (bx)
using d/dx ( a * x ) = a
f' (x) = b <-- solution.
The sum of squares of numbers is: 13
Step-by-step explanation:
Let x and y be two numbers
Then,
Difference of the squares of the numbers will be:

Product will be:

Given identity is:

Given values are:
Difference of the squares of the numbers=
Product of numbers = xy = 6
Putting the values in the identity
![(x^2+y^2)^2=(5)^2+[2(6)]^2\\=25+(12)^2\\=25+144\\=169](https://tex.z-dn.net/?f=%28x%5E2%2By%5E2%29%5E2%3D%285%29%5E2%2B%5B2%286%29%5D%5E2%5C%5C%3D25%2B%2812%29%5E2%5C%5C%3D25%2B144%5C%5C%3D169)
As we have to only find x^2+y^2
Taking square root on both sides

The sum of squares of numbers is: 13
Keywords: Identities
Learn more about identities at:
#LearnwithBrainly
Answer:
7-x^2
Step-by-step explanation: