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2 years ago

Help plz:))) I’ll mark u brainliest

Mathematics

2 answers:

german2 years ago

6 0

Answer:

its C can i get brainliest i only need 1 more

Step-by-step explanation:

Nana76 [90]2 years ago

4 0

either 37, 17, 20 or 24, 26, 51

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10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?

Tju [1.3M]

Answer:

A. 3

Step-by-step explanation:

Let the integers be

(x+1)

(x+2)

(x+3)

Sum the integers

We have,

x+(x+1)+(x+2)+(x+3)=18

x+x+1+x+2+x+3=18

4x+6=18

Subtract 6 from both sides

4x-6=18-6

4x=12

Divide both sides by 4

4x/4=12/4

x=3

The smallest integer which is x is equal to 3

Check:

3+4+5+6=18

5 0

3 years ago

A breeder reactor converts uranium-238 into an isotope of plutonium-239 at a rate proportional to the amount of uranium-238 pres

topjm [15]

Let $U(t)$ denote the amount of uranium-238 in the reactor at time $t$ . As conversion to plutonium-239 occurs, the amount of uranium will decrease, so the conversion rate is negative. Because the rate is proportional to the current amount of uranium, we have

$\dfrac{\mathrm dU}{\mathrm dt}=-kU$

where $k>0$ is constant. Separating variables and integrating both sides gives

$\dfrac{\mathrm dU}U=-k\,\mathrm dt\implies\ln|U|=-kt+C\implies U=Ce^{-kt}$

Suppose we start some amount $u$ . This means that at time $t=0$ we have $U(0)=u$ , so that

$u=Ce^{-0k}\implies C=u\implies U=ue^{-kt}$

We're given that after 10 years, 99.97% of the original amount of uranium remains. This means (if $t$ is taken to be in years) for some starting amount $u$ ,

$0.9997u=ue^{-10k}\implies k=-\dfrac{\ln(0.9997)}{10}$

The half-life is the time $t_{1/2}$ it takes for the starting amount $u$ to decay to half, $0.5u$ :

$0.5u=ue^{-kt_{1/2}}\implies t_{1/2}=-\dfrac{\ln(0.5)}k=\dfrac{10\ln2}{\ln(0.9997)}$

or about 23,101 years. Notice that it doesn't matter what the actual starting amount is, the half-life is independent of that.

7 0

3 years ago

An iceberg weighs 450,000 lb. If it loses 0.2% of its weight during the day, what is its new weight at the end of the day?

JulsSmile [24]

Answer: The weight of the iceberg at the end of the day will be 449,100 lbs.

Step-by-step explanation: The question is solved by first calculating what the loss of weight is during the day. The question indicates that it will lose .2%. In order to calculate the loss you need to multiply 450,000 x .002, which equals 900. Next, we subtract the weight loss from the original weight to determine the end of day weight. 450,000 - 900 = 449,100 lbs.

6 0

3 years ago

Read 2 more answers

What is 4 4/9 times 3/8

Basile [38]

40/9 *3/8=5/3 zThats the answer

8 0

3 years ago

Read 2 more answers

A teacher deposits $3,000 in a retirement fund. If she doesn't add any more money to the fund, which earns an annual interest ra

Cloud [144]

Okay, let me explain:
Take 6% of 3000 and add it to 3000. So basically turn the 6% into a decimal which would be 0.06, and multiply the 3000 by it. So, 3000 x 0.06 which equals 3,180. I hope this time it helped :) message me if you need further instructions.

6 0

3 years ago