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2 years ago

Melissa purchased 39.46 in groceries

Mathematics

1 answer:

kolbaska11 [484]2 years ago

3 0

Answer:3948

Step-by-step explanation:

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Please help. Thank you!

Makovka662 [10]

Answer: See explanation

Step-by-step explanation:

By the Triangle Inequality Theorem, the length of the side must be greater than 1 ft because the sum of two side lengths must be greater than the length of the third side. The third side must be less than 7 ft but greater than 1 ft.

Triangle inequality: 1 < x < 7

Hope that helped!

3 0

2 years ago

The graph is

Archy [21]

Answer: increasing

and asymptote

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Swim team members can race or dive. At a meet, 18 members race. The ratio of racers to divers is 6 : 2. How many members are on

AnnyKZ [126]

Answer:

Step-by-step explanation:

Given that:

Total number of members who race = 18

Ratio of racers to divers = 6 : 2

To find:

Total number of members of the team = ?

Solution:

Given the ratio = 6 : 2

As per the ratio given, we can let the number of racers = $6x$

and

As per the ratio given, we can let the number of divers = $2x$

As the swim team members can either race or dive, we can say that:

Total number of members on the team = Number of racers + Number of divers

Total number of members on the team = $6x+2x=8x$

As per the question statement, we are given that:

$6x=18\\\Rightarrow x =\dfrac{18}{6}\\\Rightarrow x =3$

Therefore, total number of team members = 8 $\times$ 3 = <em>24</em>

7 0

2 years ago

Solve (3x+8)(y^2+4) dx +4

Anna35 [415]

It's been four years since I last did a problem of this particular nature. :)

Try this: divide both sides of the given equation by (x^2-5x+6), obtaining

(3x+8)(y^2+4) + 4y(x^2+5x+6) dy

-------------------- dx + ------------------------- dy = 0

x^2+5x + 6 x^2+5x + 6

This gives us:

(3x+8)(y^2+4)

-------------------- dx + 4ydy = 0

(x+2)(x+3)

Now divide all 3 terms by y^2+4:

3x+8

--------------- dx + 4ydy = 0 This completes the separation of variables.

(x+2)(x+3)

Now we'll need to integrate each of the 3 terms.

3x+8

--------------- dx + 4ydy = 0 can be re-written in the form

(x+2)(x+3)

3x +8 A B

--------------- = --------- + ---------- We will need to determine the values

(x+2)(x+3) x+2 x+3 of A and B (partial fraction expansion).

I trust you know how to do this; if not, let me know and I'll help you with that also.

I obtained B=2 and A = 1. You might want to verify that 1/(x+2) + 2/(x+3) =

3x+8

-------------- .

(x+2)(x+3)

Integrating the left side of this d. e. results in ln(x+2) + ln(x+3).

Integrating 4ydy results in 4*y^2/2, or 2y^2.

Integrating 0 results in a constant, C.

Thus,

ln(x+2) + ln(x+3) + 2y^2 = C is the solution of this d. e.

7 0

2 years ago

Suppose a scientist puts a colony of bacteria weighing 1 gram in a large container. Assume that these bacteria reproduce in such

DedPeter [7]

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

5 0

2 years ago