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3 years ago

Brainliest if correct

Mathematics

1 answer:

harkovskaia [24]3 years ago

6 0

Answer:

3/8 & 4/8

Step-by-step explanation:

1/2 - 1/8 = 4/8 - 1/8 = 3/8

x - 1/8 = 3/8

x = 4/8

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Help me solve this please I’m struggling

mrs_skeptik [129]

9514 1404 393

Answer:

9.5
maximum, 34.5, 5
10.9

Step-by-step explanation:

I find it convenient to use a graphing calculator to graph the function.

The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.

The irrigation system is positioned  9.5  feet above the ground.

The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.

The spray reaches a  maximum  height of  34.5  feet at a horizontal distance of  5  feet away from the sprinkler head.
The spray reaches all the way to the ground at about  10.9  feet away.

The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.

7 0

3 years ago

Use a net to find the surface area of the right triangular prism shown below:

Stolb23 [73]

Bottom rectangle = 10*7 = 70
Top rectangle = 8*7 = 56
Side rectangle = 6*7 = 42
Side triangle = (1/2)*8*6 = 24
Side triangle = (1/2)*8*6 = 24
--------------------------------------------------

Total surface area = 70+56+42+24+24 = 216

3 0

4 years ago

Read 2 more answers

Simplify the fraction completly 75/100

jeka57 [31]

The simplest form for 75/100 is 3/4

8 0

3 years ago

Read 2 more answers

There are 27 red or blue marvels in a bag. The number of red marbles is 5 less than 3 time the number of blue marbles. How many

BigorU [14]

Answer:

let R= red

let B= blue

R+B= 27

R=3B-5

3B-5+B=27

3B+B=27+5

4B=32

4B/4= 32/4

B=8

R= 3*8-5

R=24-5

R=19

4 0

4 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