So 12 = 2 + 20t -5t^2
5t^2 -20t + 10=0
t^2 -4t + 2 = 0
Use quadratic formula to solve
Answer:
x=34
Step-by-step explanation:
1. formula for Pythagorean Theorem for right trangles is <u>a^2+b^2=c^2</u>
2. a=30 and b=16, so (30)^2+(16)^2=c^2
3. (30)^2=900 and (16)^2=256
4. 900+256=1156
5. 1156=c^2
6. 
7. the square root of 1156 is 34, so c=34
8. The missing side of the triangle, labeled as "x<em>"</em> is 34
Answer:
1. -12x - 9y - 6
2. -12x + 36
3. -240
4. -2
5. x = -57
6. x = -6
7. x = 48
8. x = 20
9. x = -288
10. n = 8
Step-by-step explanation:
1.
-5x - 13 + 3y - 7x - 12y + 7
-12x - 13 + 3y - 12y + 7
-12x - 6 + 3y - 12y
-12x - 6 - 9y
-12x - 9y - 6
2.
-3(4x - 12)
-3(4x) + (-3)(-12)
-12x + 36
3.
6x - 282
6(7) - 282
42 - 282
-240
4.
6x + 2(y + x)
6(-2) + 2(7 + (-2))
-12 + 2(7 - 2)
-12 + 2(5)
-12 + 10
-2
5.
x - 23 = -80
+ 23 +23
x = -57
6.
12x = -72
/12 /12
x = -6
7.
x/4 = 12
* 4 * 4
x = 48
8.
3x + 12 = 72
- 12 - 12
3x = 60
/3 /3
x = 20
9.
x/4 - 8 = -80
+ 8 + 8
x/4 = -72
* 4 * 4
x = -288
10.
-4(1 - 5n) - 8n = 92
-4 + (-4)(-5n) - 8n = 92
-4 + 20n - 8n = 92
-4 + 12n = 92
12n - 4 = 92
+ 4 + 4
12n = 96
/12 /12
n = 8
Answer:
170 heart beat per minute.
Step-by-step explanation:
While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.
So, if my age is 21 years i.e. x = 21, then the number of recommended heart beats per minute for my age will be
y = f(21) = - 0.85(21) + 187 = - 17.85 + 187 = 169.15 ≈ 170. (Answer)
{Taking the larger integer value}
Answer:
123 full pages
Step-by-step explanation:
Given
Required
Determine the number of full page
To do this, we simply divide the total stamps by stamps in each page;
Then we record only the quotient
The quotient is the digits before the decimal
<em>Hence, she has 123 full pages</em>
