Answer:
1.5 km
Step-by-step explanation:
Length of pool = 25m
no.of lengths. = 60
Total length of he swim s = 25m* 60
= 1500m
You know , 1000m = 1km ,
so,
He swims 1500m/1000m
= 1.5 km
Answer:
1/7 is less than 7/12
Step-by-step explanation:
please mark me as brainlest
Answer:
(hope this helps can I pls have brainlist (crown) ☺️)
Step-by-step explanation:
7^8 x 7^3 x 7^4 / 7^9 7^5
= 7^(8+3+4) / 7^(9+5)
= 7^15 / 7^14
= 7^(15-14)
= 7.
When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:
7^8 x 7^3 x 7^4= 7^15
Now, look at the rest of the simplified equation and do the same to the denominator:
7^15 / 7^9 x 7^5 ⇒ 7^15/ 7^14
When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer = 7^15-14 = 7^1 = 7
Answer:
Carmen's book by 13 pages.
Step-by-step explanation:
Step one
225-175 to get 50 pages per every 2 night for Amelia
Step two
224- 160 to get 64 pages every 2 night for Carmen
Step 3
Add 225 and 50 to get 275
Step 4
Add 224 and 64 o get 288
Step 5
Subtract 275 from 288 to get 13
Answer:
x = 10 - 10sqrt(3)/3
Approximately 4.2265 cm
Volume = 1539.6 cm³
Step-by-step explanation:
Let the height be x
V = (20 - 2x)(40 - 2x)x
V = (800 - 80x - 40x + 4x²)x
V = 4x³ - 120x² + 800x
dV/dx= 12x² - 240x + 800 = 0
3x² - 60x + 200 = 0
x = [60 +/- sqrt(60² - 4(3)(200))]/6
x = [30 +/- 10sqrt(3)]/3
x = 10 +/- 10sqrt(3)/3
Approximately,
15.7735 and 4.2265
d²V/dx² = 24x - 240
For max, d²V/dx² < 0
So, x = 4.2265
V = (20 - 2x)(40 - 2x)x
Plug in x = 10 - 10sqrt(3)/3
V = 1539.600718
