Answer:
(23,-4):
units
Step-by-step explanation:
We are given that M(-19,4)and P(4,0)
We have to find the ordered pair that represents MP and find the magnitude of MP.
MP=P-M
MP=(4,0)-(-19,4)=(4+19,0-4)
MP=(23,-4)
Magnitude of MP=![\sqrt{(23)^2+(-4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%2823%29%5E2%2B%28-4%29%5E2%7D)
Magnitude of MP=![\sqrt{529+16}](https://tex.z-dn.net/?f=%5Csqrt%7B529%2B16%7D)
Magnitude of MP=
units
Hence, .option c is true.
Answer:c.(23,-4):
units
Answer:
5⁶⁴ = 152587890625⁴ bacteria's at 7 hours
Step-by-step explanation:
Simple..
it means the bacteria is increasing exponentially.
This is a geometric progression.
at 0 hrs = 0 bacteria
at 1 hr = 5 bacteria
at 2hr = 25 " = 5²
at 3hrs = 25 x 25 = 5² x 5² = 5⁴
at 4hrs = (25x25) x (25x25) = 5⁴x5⁴ = 5⁸
at 5hrs = (5⁸)² = 5⁸ˣ² = 5¹⁶
at 6 hrs = (5¹⁶)² = 5¹⁶ˣ²= 5³²
at 7 hrs = (5³²)² = 5³²ˣ² = 5⁶⁴
5⁶⁴ = 152587890625⁴
Area of fountain is 147.58 and area of path is 28.26
Given:
The equation is
![\dfrac{3}{2}+b=\dfrac{7}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B2%7D%2Bb%3D%5Cdfrac%7B7%7D%7B4%7D)
To find:
The value of b.
Solution:
We have,
![\dfrac{3}{2}+b=\dfrac{7}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B2%7D%2Bb%3D%5Cdfrac%7B7%7D%7B4%7D)
Subtracting both sides by
, we get
![b=\dfrac{7}{4}-\dfrac{3}{2}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B7%7D%7B4%7D-%5Cdfrac%7B3%7D%7B2%7D)
![b=\dfrac{7-2(3)}{4}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B7-2%283%29%7D%7B4%7D)
![b=\dfrac{7-6}{4}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B7-6%7D%7B4%7D)
![b=\dfrac{1}{4}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B1%7D%7B4%7D)
Therefore, the value of b is
.
Answer:
![58\%](https://tex.z-dn.net/?f=58%5C%25)
Step-by-step explanation:
First, we need to find how much extra water Nathan drinks.
extra ounces.
To find the percent increase:
(to the nearest percent)
Hope this helps :)