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Elis [28]
3 years ago
11

grita buys a 50 pounds of dog food for 30$ and 28 pounds of cat food for 18.20$. Which costs less per pound?

Mathematics
1 answer:
Finger [1]3 years ago
6 0

Answer:

cat food ∑

Step-by-step explanation:

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Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.
NISA [10]

Answer:

\frac{\sqrt{\pi}}{4}

Step-by-step explanation:

You are going to integrate the following function:

g(x)=x*f(x)=x*xe^{-x^2}=x^2e^{-x^2}  (1)

furthermore, you know that:

\int_0^{\infty}e^{-x^2}=\frac{\sqrt{\pi}}{2}

lets call to this integral, the integral Io.

for a general form of I you have In:

I_n=\int_0^{\infty}x^ne^{-ax^2}dx

furthermore you use the fact that:

I_n=-\frac{\partial I_{n-2}}{\partial a}

by using this last expression in an iterative way you obtain the following:

\int_0^{\infty}x^{2s}e^{-ax^2}dx=\frac{(2s-1)!!}{2^{s+1}a^s}\sqrt{\frac{\pi}{a}} (2)

with n=2s a even number

for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

\int_0^{\infty}x^2e^{-x^2}dx=\frac{(2(1)-1)!}{2^{1+1}(1^1)}\sqrt{\pi}=\frac{\sqrt{\pi}}{4}

5 0
3 years ago
Read 2 more answers
Which relation has both domain and range of all real numbers
Mama L [17]

Answer:

C

Step-by-step explanation:

All real numbers means all numbers positive and negative

Therefore, it would have to be C because the others dont have both positives and negatives for their domain and range reaches

4 0
3 years ago
Marcella dived 40.8 gallons of paint among 8 coontainer How much paint is in each container
erma4kov [3.2K]

5.1gallons is in each container

3 0
3 years ago
Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the
notka56 [123]

Answer:

(A)6 kilometers

Step-by-step explanation:

First, we determine the value of a using Pythagoras Theorem.

Hypotenuse^2=Opposite^2+Adjacent^2\\17^2=a^2+15^2\\a^2=17^2-15^2\\a^2=289-225\\a^2=64\\a^2=8^2\\a=8$ km

Therefore:

Distance along the long route = 8 + 15 =23 km

Distance along the shortcut =17 km

Difference =23-17 =6km

Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.

5 0
3 years ago
Read 2 more answers
Simplify (5x2 + x – 11) – (3x² + 4x – 17)
tatiyna

Answer:

2 x^2 - 3 x + 6

Step-by-step explanation:

Simplify the following:

-(3 x^2 + 4 x - 17) + 5 x^2 + x - 11

-(3 x^2 + 4 x - 17) = -3 x^2 - 4 x + 17:

-3 x^2 - 4 x + 17 + 5 x^2 + x - 11

Grouping like terms, 5 x^2 - 3 x^2 + x - 4 x - 11 + 17 = (5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17):

(5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17)

5 x^2 - 3 x^2 = 2 x^2:

2 x^2 + (x - 4 x) + (-11 + 17)

x - 4 x = -3 x:

2 x^2 + -3 x + (-11 + 17)

17 - 11 = 6:

Answer: 2 x^2 - 3 x + 6

3 0
3 years ago
Read 2 more answers
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