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jok3333 [9.3K]
2 years ago
10

Nut B fits on Bolt B. Nut A fits on Bolt C, but does not fit on Bolt A. Bolts B and A are exactly the same. Given the scenario,

will nut A fit on Bolt B?
Mathematics
2 answers:
Colt1911 [192]2 years ago
5 0
Nut A does not fit on Bolt A.

Bolt A is the exact same as Bolt B.

So it follows that Nut A will not fit Bolt B.
Butoxors [25]2 years ago
5 0
I do believe that bolt A will fit on bolt B because you said they are the same. But we know for a fact that bolt A do fit on bolt C. So look at bolt C and B see if they are the same. If so then A will fit on bolt B. I think I understood what you was saying I hope I did. Good luck
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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
2 years ago
Layla is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is she
arlik [135]
A pentagon because its just a circle with fancy lines

3 0
2 years ago
The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15
galina1969 [7]
Im not really sure but 45 sir :)
7 0
2 years ago
Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and
erastova [34]

Answer:

The equation are:

1) h + s = 20

2) 4h = 1s

Step-by-step explanation:

Number of hats Elliott made = h

Number of scarfs Elliott made = s

total number of items Elliott made = 20

h + s = 20 ..[1]

1 hat uses 0.2 kilograms of yarn

1 hat = 0.2 kg of yarn

Then h hats will use = 0.2h kg of yarn

1 scarf uses 0.1 kilograms of yarn

1 scarf= 0.1 kg of yarn

Then s scarfs will use = 0.1s kg of yarn

She wants to twice as much as yarn for scarves for hats:

2 × (0.2h kg of yarn) = 0.1s kg of yarn

0.4h = 0.1s

4h = 1s...[2]

The equation are:

1) h + s = 20

2) 4h = 1s

8 0
2 years ago
Read 2 more answers
Julie borrowed $3,500 for 3 years at 7½% simple interest rate. How much interest is that?
Paraphin [41]
A=P(1+rt)

P=3500
t=3yrs.
r=7.5% / 100 = 0.075

A= 3500(1 + (0.075 x 3)) = 4287.5

A= $ 4,287.50
7 0
1 year ago
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