Paul owes Paula 35 cents and has a pocket full of 55-cent coins, 10-cent coins, and 25-cent coins that he can use to pay her. What is the difference between the largest and the smallest number of coins he can use to pay her?
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Find the equation of the line that passes through (-2,3) and (4,-1).the formula I believe is y-y1 = y2-y1/x2-x1 (x-x1) I'm not quite sure as to how to set that up. do I solve as I go?
Two acute triangles are similar. Which of the following must the similar triangle have?A) every pair of sides and angles congruent B) at least one pair of congruent sides and one pair of congruent angles C) congruent corresponding angles and proportional side lengths D) a right angle and a hypotenuse
Mark works at a popular electronics retail store. He earns a fixed income of $18 an hour and a 5% commission on the sales he makes. Let's say, y = earnings h = number of hours worked s = amount of sales Which of these equations correctly indicates how much Mark earns in a day? A : y=18h+0.5s B : y=18h+0.05s C : y=h/18+5s D : y=h/18+s/5
Jeremy opens a chocolate shop in the city. He pays $1,500 a month for rent and maintenance of the shop. The price of raw materials and manufacturing the chocolates is $6,000 a month. He sells the chocolates individually and in boxes of a dozen. Jeremy understands that his business needs a little time to become a success and decides that he wants to build a customer base initially. He is happy to break even for the first year. If Jeremy sells 2,400 individual chocolates and 50 boxes a month, how should he price his chocolates to break even, given the costs? (Assume that the price of a box is the same as the price of 12 individual chocolates.)
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A. 35
B. 18
C. 180
D. 288
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Convert the percentage into a decimal:
Divide 72 over the decimal:
144*2=288
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Answer:
64,81,100
Step-by-step explanation:
Answer: 64,81 and 100
Step-by-step explanation: 8^2=64, 9^2=81 and 10^2=100
h(t) = -3t2 + 12t +96
Alicia wants to know when the drone will land on the ground.
1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the
equation
h(t) =
2) How many minutes after takeoff does the drone land on the ground?
minutes
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The function can be written as: h(t) = - 3(t² - 4t - 32). As per quadratic equation, after take off, the drone will land on the ground after 8 minutes.
What is a quadratic equation?
A quadratic equation is an equation that contains a variable with highest degree of 2.
Given, the height of the drone t minutes after take off is modeled by
h(t) = - 3t² + 12t + 96 = - 3(t² - 4t - 32)
Therefore, the function can be written as: h(t) = - 3(t² - 4t - 32)
Therefore, we can write the equation as:
t² - 4t - 32 = 0
⇒ t²- 8t + 4t - 32 = 0
⇒ t(t - 8) + 4(t - 8) = 0
⇒ (t + 4)(t - 8) = 0
Hence, (t + 4) = 0 and (t - 8) = 0
Therefore, t = -4, 8.
As 't' can't be negative, therefore, t = 8.
Therefore, after take off, the drone will land on the ground after 8 minutes.
Learn more about a quadratic equation here: brainly.com/question/11872809
#SPJ2
Answer:
h(t) = -3(t-8)(t+4). and 8 minutes
Step-by-step explanation:
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Answer:
r = 2. The center is at (0, 3).
Step-by-step explanation:
Compare the given x ^ 2 + (y - 3) ^ 2 = 4 to the standard equation
(x - h)^2 + (y - k)^2 = r^2.
It becomes obvious that h = 0, k = 3 and r = 2. The center is at (0, 3).