Answer:
<h2>14mph</h2>
Step-by-step explanation:
Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;
m = −0.05x²+3.5x−49
when m= 9
9 = −0.05x²+3.5x−49
−0.05x²+3.5x−49 = 9
0.05x²-3.5x+49 = -9
Multiplying through by 100
5x²+350x−4900 = 900
Dividing through by 5;
x²+70x−980 = 180
x²+70x−980 - 180 = 0
x²+70x−1160 = 0
Using the general formula to get x;
a = 1, b = 70, c = -1160
x = -70±√70²-4(1)(-1160)/2
x = -70±√4900+4640)/2
x = -70±(√4900+4640)/2
x = -70±√9540/2
x = -70±97.7/2
x = -70+97.7/2
x = 27.7/2
x = 13.85mph
x ≈ 14 mph
Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph
Answer:40%.
Since the student got 60% correct, the remaining percentage would be the part they got incorrect.
I got 60% by translating 9/15 into a decimal and moving the decimal point to create a percentage.
Hope this helps!
Step-by-step explanation:
Answer:
The correct answer is - 900
Step-by-step explanation:
A palindrome is a positive integer that is same whether read from left to right or from right to left. For example, 123321 palindromes.
An n-digit palindrome is determined from the first n/2 digits if n is even, and from the first n+1/2 digits if n is odd.
Therefore, if n is even, there are 9×10⁽n⁻²/²⁾ palindromes; and if n is odd, there are 9×10⁽n₋²/²⁾ palindromes. where n is number of digits.
For n=5 , there are 9×10²=900 palindromes
Answer:
p: True, q: False, r: True
Step-by-step explanation:
Truth value only has two answer choices: true or false
p: True (there are 7 days in a week)
q: False (there are 31 not 30 days in March)
r: True (Halloween is on Oct. 31)
If not correct, write a message and I will try to help further.
