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4 years ago

10

Jamie put 8 squares together to make a rectangle. There are 2 row of squares Each row has 4 squares how many pairs of sides touc

h each other in the rectangle

1 answer:

MAXImum [283]4 years ago

4 0

10 pairs :)

2 rows= 3 pairs touching 4 columns= 1

2*3+4*1=10

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The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy

vesna_86 [32]

Answer:

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

Step-by-step explanation:

The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.

This means that the consumption after t years is given by the following differential equation:

$\frac{dC}{dt} = kC$

In which k is the growth rate.

The solution is, applying separation of variables:

$C(t) = C(0)e^{kt}$

In which C(0) is the initial consumption.

The town consumed 4.4 trillion British thermal units (BTUs) initially.

This means that $C(0) = 4.4$

So

$C(t) = C(0)e^{kt}$

$C(t) = 4.4e^{kt}$

5.5 trillion BTUs annually after 5 years.

This means that $C(5) = 5.5$ . We use this to find k. So

$C(t) = 4.4e^{kt}$

$5.5 = 4.4e^{5k}$

$e^{5k} = \frac{5.5}{4.4}$

$e^{5k} = 1.25$

$\ln{e^{5k}} = \ln{1.25}$

$5k = \ln{1.25}$

$k = \frac{\ln{1.25}}{5}$

$k = 0.0446$

So

$C(t) = 4.4e^{0.0446t}$

After 9 years?

This is C(9). So

$C(9) = 4.4e^{0.0446*9} = 6.57$

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

6 0

4 years ago

Logan's only debt obligations are a car loan payment of $512 and a credit card payment of $70 every month. What is the minimum a

Assoli18 [71]

The most used payment plan to avoid being in debt today is the 20% payment plan. In this payment , you divide your income into several parts.
20% for paying up debts, 10 % for savings, and 70% for everything else.

So, assuming that x is the minimum amount of money, we know that

$ 512 + $70 = 20% . X

$ 582 = 0.2 . x

$ 582 / 0.2 = x

x = $ 2910

3 0

3 years ago

Read 2 more answers

Whats -2 - 19t if t=-1

Naya [18.7K]

Answer:

17

Step-by-step explanation:

-2 - 19 x -1

-2 + 19(because two negatives make a positive)

17

8 0

3 years ago

Read 2 more answers

Need help solving for Y

den301095 [7]

I hope this helps you

5 0

3 years ago

I need help and fast !!! will give brainliest

mote1985 [20]

Answer:

(x+3)(2x+7)

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

(2x2 + 13x) + 21

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 2x2+13x+21

The first term is, 2x2 its coefficient is 2 .

The middle term is, +13x its coefficient is 13 .

The last term, "the constant", is +21

Step-1 : Multiply the coefficient of the first term by the constant 2 • 21 = 42

Step-2 : Find two factors of 42 whose sum equals the coefficient of the middle term, which is 13 .

-42 + -1 = -43

-21 + -2 = -23

-14 + -3 = -17

-7 + -6 = -13

-6 + -7 = -13

-3 + -14 = -17

-2 + -21 = -23

-1 + -42 = -43

1 + 42 = 43

2 + 21 = 23

3 + 14 = 17

6 + 7 = 13 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 6 and 7

2x2 + 6x + 7x + 21

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x+3)

Add up the last 2 terms, pulling out common factors :

7 • (x+3)

Step-5 : Add up the four terms of step 4 :

(2x+7) • (x+3)

Which is the desired factorization

Final result :

(x + 3) • (2x + 7)

- If you want this explained differently please let me know. Hope this helps!

8 0

4 years ago