Donovan bought 5 1/2 kilograms of flour for $8.25 how much is the unit rate per kilogram of flour?
Answers
The unit rate is given by the total amount, divided by the number of units. In this case, the amount is 8.25 dollars, and the units are 5.5 kilograms.
So, the unit cost is given by
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Answers
I think it is :.
But...not really sure
y^2+4x-6x-6y+5=0
y^2-6y-2x+5=0
so I suspect that you might have left out a x^2 but I'll try to solve it how it is
y^2-6y+5-2x=0
factor y^2-6y+5
what adds up to -6 and multiplies to get 5, -1 and -5
(y-5)(y-1)-2x=0
not sure how to procede but you could get it to this
(y-5)(y-1)=2x
a. What height was the ball originally thrown from?
b. When will the ball reach 130 feet?
c. Will the ball ever reach 250 feet? Explain.
d. When will the ball hit the ground?
Answers
a. To find the height the ball was originally thrown from, we need to look at the equation h(t) = -16t² + 112t + 6. The initial height is represented by the constant term, which is 6. Therefore, the ball was originally thrown from a height of 6 feet.
b. To find when the ball will reach 130 feet, we need to set h(t) = 130 and solve for t. This gives us the equation -16t² + 112t + 6 = 130. Simplifying, we get -16t² + 112t - 124 = 0. Dividing by -4, we get 4t² - 28t + 31 = 0. Using the quadratic formula, we find that t ≈ 1.16 seconds or t ≈ 1.84 seconds. Therefore, the ball will reach a height of 130 feet after approximately 1.16 seconds or 1.84 seconds.
c. To determine if the ball will ever reach 250 feet, we need to look at the maximum height the ball will reach. The maximum height is given by the vertex of the parabolic equation h(t) = -16t² + 112t + 6. The t-coordinate of the vertex is given by -b/2a, where a = -16 and b = 112. Therefore, t = -112/(2*-16) = 3.5 seconds. Substituting t = 3.5 seconds into the equation, we get h(3.5) = -16(3.5)² + 112(3.5) + 6 ≈ 222. Therefore, the ball will not reach a height of 250 feet.
d. To find when the ball will hit the ground, we need to set h(t) = 0 and solve for t. This gives us the equation -16t² + 112t + 6 = 0. Dividing by 2, we get -8t² + 56t + 3 = 0. Using the quadratic formula, we find that t ≈ 0.07 seconds or t ≈ 7.93 seconds. Since the ball was thrown upwards, we can discard the negative solution. Therefore, the ball will hit the ground after approximately 7.93 seconds.
Answers
Answer:
$250
Step-by-step explanation:
Answers
Answer: D) AAS
Explanation:
Check out the diagram below. I've marked the angles that pair up which are congruent to one another. Note the order is important. The AAS rule is different from ASA. In the diagram, the green segments are not between the red and blue angles.
Note: the blue angles are congruent by the vertical angle theorem.
85
50
42.5
59
1.7
PLEASE HELP PLS
Answers
Answer:
42.5
Step-by-step explanation:
Multiply 50 by 0.85, which equals 42.5.
–4.9t^2 + 22t + 1.5 = 0
–4.9t^2 + 22t = 1.5
–4.9t^2 + 1.5t + 22 = 0
–16t^2+ 22t + 1.5 = 0
Answers
h(t) = 1.5 + 22t -4.9t^2
h(t) = 0 ⇒ -4.9t^2 + 22t + 1.5 =0. This is the first option.