The curves cross at coordinates (x, y) = (1, 4). The x-value is said to represent the increase in temperature, while the y-value is said to represent the numbers of visitors and those and who leave early.

The "solution" is the temperature change at which the number of visitors is equal to the number who leave early.

7 0

3 years ago

Calculate the average rate of change of the function f(x) = 3x2 over the interval 1 ≤ x ≤ 5.

RideAnS [48]

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

here [ a, b ] = [ 1, 5 ]

f(b) = f(5) = 3 × 5² = 75

f(a) = f(1) = 3 × 1² = 3, hence

average rate of change = $\frac{75-3}{5-1}$ = $\frac{72}{4}$ = 18

5 0

2 years ago

Find the perimeter of the quarter-circle. Give your answer to the nearest whole number.

Bezzdna [24]

Answer:

The perimeter of the quarter-circle is 200 cm.

Step-by-step explanation:

Given that the angle of quarter-circle is 90°. So using Length of Arc formula, you are able to find the length of curve :

$arc = \frac{θ}{360} \times 2 \: \pi \: r$

Let r be radius = 56 cm,

Let θ = 90°

$arc = \frac{90}{360} \times 2 \times\pi \times 56$

$= \frac{1}{4} \times 2 \times \pi \times 56$

$= \frac{1}{2} \times \pi \times 56$

$= 28\pi \: cm$

We have already found the arc. Next we have to add up together to find the perimeter :

$p = 56 + 56 + 28\pi$

$p = 112 + 28\pi$

$p = 200 \: cm \: (3s.f)$

6 0

2 years ago

Read 2 more answers

What is {2}{5} divided by {1}{3}

mariarad [96]

2*5=10/3
10/3=3.33
two times 5 equals 10
1 times 3 equals 3
10 divided by 3 equals 3.33

6 0

2 years ago