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tatuchka [14]
2 years ago
13

Kevin is making 8 centerpieces for a party. In each centerpiece, of an ounce of flower food is used. How many ounces of flower f

ood are used in the 8 centerpieces?
Mathematics
1 answer:
nikdorinn [45]2 years ago
7 0
8 ounces of flower food.
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Vika [28.1K]

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The answer is A 41.9 feet.

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3 years ago
Keegan is priting and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total p
Damm [24]

Complete question is;

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total profits will be p(x) = -x³ + 4x² + x dollars, in thousands will be earned. How many t-shirts (rounded to the nearest whole number) should he print in order to make maximum profits? What will his profits rounded to the nearest whole dollar be if he prints that number of shirts?

Answer:

Number of t-shirts to make maximum profit = 2790 shirts

Maximum profit = $12,209

Step-by-step explanation:

From the question, we are given that the profit function is;

p(x) = -x³ + 4x² + x

For the maximum value of the profit function,

(dp/dx) = 0 and (d²p/dx²) < 0

Since, p(x) = -x³ + 4x² + x

Then,

(dp/dx) = -3x² + 8x + 1

at maximum point (dp/dx) = 0, thus;

-3x² + 8x + 1 = 0

Solving this using quadratic formula, the roots are;

x = -0.12 or 2.79

Also, (d²p/dx²) = -6x + 8

Now, let's put the roots of x into -6x + 8 and check for maximum value conditon;

at x = -0.12

(d²p/dx²) = -6(0.12) + 8 = 7.28 > 0

At x = 2.79

(d²p/dx²) = -6(2.79) + 8 = -8.74 < 0

Maximum has to be d²p/dx² < 0

So, the one that meets the condition is -8.74 < 0 at x = 2.79

Thus, the maximum of the profit function exists when the number of shirts, x = 2.79 (in thousands) = 2790

Now, the maximum profits that corresponds to this number of t-shirts of 2.79(in thousands) is obtained by putting 2.79 for x in the profit function;

So,

p(2.79) = -(2.79)³ + 4(2.79²) + 2.79

p(x) = -21.7176 + 31.1364 + 2.79

p(x) = 12.2088 (in thousand dollars) ≈ $12,209

6 0
3 years ago
Donal currently has 7,200 points in his fantasy baseball league, which is 20% more points than Scott How many points does Scott
zlopas [31]

Answer:

5760

Step-by-step explanation:

7200-20%=5760

7 0
3 years ago
HELP PLEASE! I don't understand and have been stuck on this problem for a whole hour. Please explain. Also, none of the answers
Lyrx [107]
The altitude is the mean proportional between the left and right parts of the hyptenuse

\cfrac{FI}{GI} =  \cfrac{GI}{HI} \ \ \Rightarrow \ \  \cfrac{FI}{15} =  \cfrac{15}{16} \ \ \Rightarrow \ \ FI= \cfrac{15 \cdot 15 }{16} \approx  14.1

Answer: 14.1
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3 years ago
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You have 192 grams of a radioactive kind of iodine. How much will be left
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Answer:

192/2= 96 g after 7h

96/2=48 g after 14h

48/2= 24 g after 21h

<h2>24/2= 12 g after 28h </h2>
8 0
3 years ago
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