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2 years ago

8

If a line crosses the yaxis at (0, 1) and has a slope of 4/5 , what is the equation of the line?

1 answer:

Misha Larkins [42]2 years ago

7 0

Answer:

y=4/5x+1

Step-by-step explanation:

When making linear equations for graphs we need to fill in the model of y=mx+b. M gets filled in with the slope of line and in this case it's 4/5. X is our unknown variable that we could substitute for. B is our y-intercept which is 1 since that is where the line first touches the y-axis. Together it makes y=4/5x+1.

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Consider circle C below, where the central angle is measured in radians. Circle C is shown. Line segments R C and S C are radii.

denis-greek [22]

What is the length of the radius?

12 units

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2 years ago

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How close are a meter and a yard? Convert, 1 meter into yards by using the fact that there are 100 centimeters in a meter, 2.54

Sveta_85 [38]

Answer:

To convert 1 meter into yards

Using the given facts : 100 centimeters in a meter, 2.54 centimeters in an inch, 12 inches in a foot, and 3 feet in a yard.

we can write these as;

$1 m = 100 cm$

$1 inches = 2.54 cm$

$1 ft = 12 inches$ and

$1 yard = 3 ft$

1 ft = 12 inches

3 ft = $3 \times 12 = 36 inches$

Since,

1 inches = 2.54 cm

36 inches = 91.44 cm

Also,

1 m = 100 cm

or

1 cm = $\frac{1}{100} m$

then;

91.44 cm = $\frac{91.44}{100} =0.9144 m$

⇒ 1 yards = 0.9144 m

Divide both sides by 0.9144 we get;

1 meter = $\frac{1}{0.9144} = 1.0936133$ yards.

Therefore, the answer is, 1 m = 1.1 yards (nearest to tenth)

5 0

2 years ago

How many ounces does a 2-ton rhinoceros weigh?

suter [353]

Answer:

64,000 ounces

Step-by-step explanation:

1 ton = 32,000 ounces

2 tons x 32,000 ounces (which is equal to one ton)

=64,000 ounces

2 tons = 64,000 ounces

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2 years ago

Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.

REY [17]

Answer:

B

Step-by-step explanation:

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2 years ago

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In the study of population dynamics one of the most famous models for a growing but bounded population is the logistic equation

MA_775_DIABLO [31]

Answer:

If $K$ is a constant of integration, then

$P = {\displaystyle \frac{1}{b/a + Ke^{-at}}}$

Step-by-step explanation:

According to the information of the problem we know that

$\frac{dP}{dt} = P(a-bP)$

Remember that in general a Bernoulli equation is an equation of the type

$y' + p(x)y = q(x)y^n$

And the idea to solve the equation is to substitute

$v = y^{1-n}$

Now for this case

$\frac{dP}{dt} - Pa = -bP^2$

Then we substitute

$v = P^{1-2} = P^{-1}$

Therefore

$P = v^{-1}$

and if you compute the derivative of that you get that

$\frac{dP}{dt} = -v^{-2} \frac{dv}{dt}$

Now you substitute that onto the original equation and get

$\frac{dP}{dt} - Pa = -bP^2$

$-v^{-2} \frac{dv}{dt} - v^{-1} = -bv^{-2$

If you multiply everything by $-v^2$ you get that

$\frac{dv}{dt} + v = b$

That's a linear differential equation and the solution would be

$v = {\displaystyle \frac{b}{a} + Ke^{-at}} = P^{-1}$

Where $K$ is a constant of integration, then

$P = {\displaystyle \frac{1}{b/a + Ke^{-at}}}$

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2 years ago