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3 years ago

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What is the circumference or the cycle

1 answer:

Delvig [45]3 years ago

3 0

Circumference of circle = π x Diameter of circle. This is typically written as C = πd. This tells us that the circumference of the circle is three “and a bit” times as long as the diameter. We can see this on the graphic below: You can also work out the circumference of a circle if you know its radius.

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What's the difference between a vertical and horizontal shift in an equation?

alexandr402 [8]

One goes up and down and the other goes side to side

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4 years ago

Two burritos cost $0.82 and five burritos cost $2.10 which is better to buy

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3 years ago

Read 2 more answers

What is f(4) for the function f(x) = 6x +3?<br> f(4)=0

maw [93]

F(4)=6(4) +3
= 24+3=27
F(4)=27.

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4 years ago

A quadratic rule for a particular parabola is of the form y = ax^2 + bx. The parabola passes through with the coordinates (-1, 4

Scilla [17]

Answer:

y = (4/7)x² - (24/7)(x)

Step-by-step explanation:

4 = a(-1)² + b(-1)

4 = a - b

0 = a(6)² + b(6)

36a + 6b = 0

b = -6a

4 = a - (-6a)

7a = 4

a = 4/7

b = -24/7

y = (4/7)x² - (24/7)(x)

6 0

4 years ago

Every year, a town surveys the size of its wetland ecosystems. This equation estimates the total wetland area, in acres, over ti

nignag [31]

Answer:

When t=10, the town is predicted to have around 443 acres of wetlands.

At one time, the town had 740 acres of wetlands.

The wetland area in the town decreases by 5% per year.

Step-by-step explanation:

Given

$f(t) = 740 * (0.95)^t$

Required

The true statements

$(a)\ f(10) = 443$

We have:

$f(t) = 740 * (0.95)^t$

Substitute 10 for t

$f(10) = 740 * (0.95)^{10$

$f(10) = 443$

<em>Hence, (a) is true</em>

$(b)\ f(t) = 740$

We have:

$f(t) = 740 * (0.95)^t$

Substitute 740 for f(t)

$740 = 740 * (0.95)^t$

Divide through by 740

$1 = 0.95^t$

Express 1 as 0.95^0

$0.95^0 = 0.95^t$

Cancel out the bases

$0 = t$

$t = 0$

Hence, the area had 740 acres initially;

(b) is true

$(c)\ r = 5\%$

We have:

$f(t) = 740 * (0.95)^t$

Using the general formula

$f(t) = a * b^t$

By comparison:

$b = 0.95$

0.95 < 1 means that:

$b = 1 - r$ --- where r = rates

$0.95 = 1 - r$

Collect like terms

$r = 1 - 0.95$

$r = 0.05$

Express as percentage

$r = 5\%$

Hence, (c) is true

$(d)\ f(10) = 492$

In (a)

$f(10) = 443$

Hence, (d) is false

$(e)\ r = 95\%$

In (c)

$r = 5\%$ ---- decrement

Hence, (e) is incorrect

5 0

3 years ago