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Deffense [45]
3 years ago
8

A restaurant offers a dinner special in which diners can choose any one of 3 appetizers, any one of 4 entrées, any two different

side dishes out of 5 and any one of 6 desserts. How many different meals are possible?
Mathematics
1 answer:
Kitty [74]3 years ago
6 0
360 different choices
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A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day (t in days). Find the insect population after 6 day
____ [38]

Answer:

The insect population after 6 days is of 1639 insects.

Step-by-step explanation:

A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day

This means that r(t) = 230 + 8t + 0.9t^2

The population of insects after x days is given by:

P(t) = \int_{0}^{x}r(t)dt

So

P(x) = \int_{0}^{x} (230 + 8t + 0.9t^2)

P(x) = 230t + 4t^2 + 0.3t^3 + K|_{0}^{x}

P(x) = 230x + 4x^2 + 0.3x^3 + K

In which K is the initital population(which is 50). So

P(x) = 230x + 4x^2 + 0.3x^3 + 50

After 6 days:

P(6) = 230*6 + 4*6^2 + 0.3*6^3 + 50 = 1638.8

Rounding to the nearest insect, 1639

The insect population after 6 days is of 1639 insects.

7 0
3 years ago
A researcher identifies a sample of teenagers and chooses two males, age 16
Alik [6]
I thinks it is matching pairs for random assignment on gender, age, & income status but I’m not sure
4 0
2 years ago
what is the rule for solving proportions? A. The sum of the means is the product of the extremes. B. The product of the means is
Zanzabum
The rule is that :
B. The product of the means is equal to the product of the extremes
8 0
3 years ago
Which is an equation of a circle with center (-10, 6) and radius 8?
kupik [55]
An equation of a circle:

(x - a)² + (y - b)² = r²

(a; b) - a coordinates of a center
r - a radius

r = 8; (-10; 6) ⇒ a = -10 and b = 6

subtitute

(x - (-10))² + (y - 6)² = 8²

Answer: (x + 10)² + (y - 6)² = 64
8 0
3 years ago
Solve the system of equations.<br><br> y=3x<br> y=x^2-10
puteri [66]

Answer:

y=3x.........1

y=x^2-10.......2

substituting value of eq 1 to 2

3x=x^2-10

x^2-10-3x=0

x^2-3x-10=0

x^2-5x+2x-10=0

X(x-5)+2(x-5)=0

(x-5)(X+2)=0

then

X=5 or X=-2

again

y=??

when X=5

y=3×5=15

when X=-2

y=-6

5 0
3 years ago
Read 2 more answers
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