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bulgar [2K]
3 years ago
5

How do you turn 0.875 into a fraction

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer: 5/8

Step-by-step explanation:

0.875 is equal to 875/1000 because there are 3 decimal places, which is the amount of zeroes after the 1 as i like to think of it, and then to simplify it

875/1000 = 35/40 = 5/8

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Soulotion to equation if y is =15 when x=2 ,find y when x=8
skelet666 [1.2K]

Answer:

The value of y for x = 8 is 60  .

Step-by-step explanation:

Given expression as :

For x = 2  , y = 15

Let the equation be written with constant k'

So, y = k x

Or, k = \dfrac{y}{x}

∴   k =  \dfrac{15}{2}

<u>Now, again </u>

For x = 8

equation can be written as

   y = k x

Or,  y =  \dfrac{15}{2} × 8

Or,  y = \frac{15\times 8}{2}

∴    y = 15 × 4

I.e  y = 60

Hence The value of y for x = 8 is 60  . Answer

5 0
3 years ago
Enzo is studying the black bear population at a large national park.
Naddik [55]

Answer:

2,973

Step-by-step explanation:

The black bear population B(t), in the park is modeled by the following function:

B(t) = 2500 \cdot 2^{0.01t}

Where t is the time(in years) elapsed since the beginning of the study.

We want to determine the black bear population in 25 years time, t=25.

B(25) = 2500 \cdot 2^{0.01*25}\\=2973.02\\\approx 2973

There will be 2,973 black bears in 25 years time.

4 0
3 years ago
Determine if AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are parallel, perpendicular, or neither. Given: A (−1, 3), B (0, 5), C (2, 1), D (6, −1)
dolphi86 [110]

Answer:

perpendicular

Step-by-step explanation:

To determine if AB and CD are  parallel, perpendicular, or neither, we need to get the slope of AB and CD first

Given A (−1, 3), B (0, 5),

Slope Mab = 5-3/0-(-1)

Mab = 2/1

Mab = 2

Slope of AB is 2

Given C (2, 1), D (6, −1)

Slope Mcd = -1-1/6-2

Mcd = -2/4

Mcd = -1/2

Slope of CD is -1/2

Take their product

Mab * Mcd = 2 * -1/2

Mab * Mcd = -1

Since the product of their slope is -1, hence AB and CD are perpendicular

5 0
2 years ago
Consider the differential equation:
Wewaii [24]

(a) Take the Laplace transform of both sides:

2y''(t)+ty'(t)-2y(t)=14

\implies 2(s^2Y(s)-sy(0)-y'(0))-(Y(s)+sY'(s))-2Y(s)=\dfrac{14}s

where the transform of ty'(t) comes from

L[ty'(t)]=-(L[y'(t)])'=-(sY(s)-y(0))'=-Y(s)-sY'(s)

This yields the linear ODE,

-sY'(s)+(2s^2-3)Y(s)=\dfrac{14}s

Divides both sides by -s:

Y'(s)+\dfrac{3-2s^2}sY(s)=-\dfrac{14}{s^2}

Find the integrating factor:

\displaystyle\int\frac{3-2s^2}s\,\mathrm ds=3\ln|s|-s^2+C

Multiply both sides of the ODE by e^{3\ln|s|-s^2}=s^3e^{-s^2}:

s^3e^{-s^2}Y'(s)+(3s^2-2s^4)e^{-s^2}Y(s)=-14se^{-s^2}

The left side condenses into the derivative of a product:

\left(s^3e^{-s^2}Y(s)\right)'=-14se^{-s^2}

Integrate both sides and solve for Y(s):

s^3e^{-s^2}Y(s)=7e^{-s^2}+C

Y(s)=\dfrac{7+Ce^{s^2}}{s^3}

(b) Taking the inverse transform of both sides gives

y(t)=\dfrac{7t^2}2+C\,L^{-1}\left[\dfrac{e^{s^2}}{s^3}\right]

I don't know whether the remaining inverse transform can be resolved, but using the principle of superposition, we know that \frac{7t^2}2 is one solution to the original ODE.

y(t)=\dfrac{7t^2}2\implies y'(t)=7t\implies y''(t)=7

Substitute these into the ODE to see everything checks out:

2\cdot7+t\cdot7t-2\cdot\dfrac{7t^2}2=14

5 0
3 years ago
1. Triangle ABC is similar to triangle DEF.
nignag [31]

Answer:

<h3>             m∠D = 80°</h3>

Step-by-step explanation:

In similar triangles corresponding angles have the same measure.

7 0
3 years ago
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