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3 years ago

Find the constant of variation for the relationship f(x)= 40x

Mathematics

1 answer:

statuscvo [17]3 years ago

7 0

The constant variation of k is 40. Hope that helps.

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2x - 7 < - 4x + 5 on graph and write the inequality.

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Answer:

x < 2

Step-by-step explanation:

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3 years ago

The area of the trapezoid

ELEN [110]

Answer:

Step-by-step explanation:

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

b₁, b₂ - bases

h - height

We have b₁ = 10in, b₂ = 5in and h = 11in. Substitute:

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4 years ago

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n many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that t

givi [52]

Answer:

$\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})$

Step-by-step explanation:

The logistic function of population growth, that is, the solution of the differential equation is as follows:

$P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}$

We use this equation to find the value of r.

In this problem, we have that:

$K = 16, P_{0} = 2, P(50) = 4$

So we find the value of r.

$P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}$

$4 = \frac{16*2e^{50r}}{16 + 2*(e^{50r} - 1)}$

$4 = \frac{32e^{50r}}{14 + 2e^{50r}}$

$56 + 8e^{50r} = 32e^{50r}}$

$24e^{50r} = 56$

$e^{50r} = 2.33$

Applying ln to both sides of the equality

$50r = 0.8459$

$r = 0.017$

The differential equation is

$\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})$

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3 years ago

⚠️⚠️ HELP me find the M the B and equation (Y=Mx+B) ⚠️⚠️

ziro4ka [17]

Y = 30x

the b (y intercept) is 0

M = 30

B = 0

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3 years ago

What is the value of y?<br> Help I will mark brainliest

Alisiya [41]

Answer:

y = 9

Step-by-step explanation:

The triangle is a 45-45-90 triangle. The legs are congruent, therefore y = 9

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3 years ago