h(t)=(t+3) 2 +5 h, left parenthesis, t, right parenthesis, equals, left parenthesis, t, plus, 3, right parenthesis, squared, plu
lesya692 [45]
Answer:
1
Step-by-step explanation:
If I understand the question right, G(t) = -((t-1)^2) + 5 and we want to solve for the average rate of change over the interval −4 ≤ t ≤ 5.
A function for the rate of change of G(t) is given by G'(t).
G'(t) = d/dt(-((t-1)^2) + 5). We solve this by using the chain rule.
d/dt(-((t-1)^2) + 5) = d/dt(-((t-1)^2)) + d/dt(5) = -2(t-1)*d/dt(t-`1) + 0 = (-2t + 2)*1 = -2t + 2
G'(t) = -2t + 2
This is a linear equation, and the average value of a linear equation f(x) over a range can be found by (f(min) + f(max))/2.
So the average value of G'(t) over −4 ≤ t ≤ 5 is given by ((-2(-4) + 2) + (-2(5) + 2))/2 = ((8 + 2) + (-10 + 2))/2 = (10 - 8)/2 = 2/2 = 1
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Use a^2 + b^2 = c^2
the triangle must be isosceles because the two angles are the same
1.2^2 + 1.2^2 = x^2
1.44 + 1.44 = x^2
2.88 = x^2
x=6√2/5
or
x ≈1.69706
Answer: C) 50%
Step-by-step explanation:
If the polarizes are parallel, then it will be 0%. But if they're both perpendicular than it will be 50%. If they are neither parallel nor perpendicular, than it will be less than 50% and greater than 0%
Answer: x = 11
Step-by-step explanation:
10x+84=194
10x = "10 times a number"
+84 = "increased by eighty four"
=194 = "equals 194"
10x+84=194
Subtract 84
10x = 110
Divide by 10
x = 11
<em>Hope it helps <3</em>
Answer:
65 servings
Step-by-step explanation:
Larry made 5 batches of punch.
In each batch, she uses the amount of lemon juice = 24 fluid ounces
and the amount she uses of orange juice = 5 pints
Since 1 pint = 16 fluid ounces
∴ 5 pints = 16 × 5 = 80 fluid ounces
Total quantity of punch in each batch = 24 + 80
= 104 fluid ounces
Total quantity of punch in 5 batches = 104 × 5
= 520 fluid ounces
If each serving is 1 cup.
and 1 cup = 8 ounces
He made the number of servings all together = 
= 65 cups
He made 65 servings all together.
