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Vladimir79 [104]

3 years ago

11

A bell tolls every 10 minutes. Another bell tolls every 15 minutes. Both bells toll at 6:00 PM. They will toll together again at

:

1 answer:

MatroZZZ [7]3 years ago

6 0

Answer:

The bells ring again together at 6:30

Step-by-step explanation:

10 minute bell

6 6:10 6:20 6:30 6:40 6:50

15 minute bell

6 6:15 6:30

The bells ring again together at 6:30

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Dy/dx of ln(x/x^²+1)

exis [7]

$\dfrac{dy}{dx}\ \ln\left(\dfrac{x}{x^2+1}\right)=\dfrac{1}{\frac{x}{x^2+1}}\cdot\dfrac{x'(x^2+1)-x(x^2+1)'}{(x^2+1)^2}\\\\=\dfrac{x^2+1}{x}\cdot\dfrac{1(x^2+1)-x(2x)}{(x^2+1)^2}=\dfrac{1}{x}\cdot\dfrac{x^2+1-2x^2}{x^2+1}=\dfrac{1-x^2}{x^3+x}\\\\Used:\\\\(\ln(x))'=\dfrac{1}{x}\\\\\left[f(g(x))\right]'=f'(g(x))\cdot g'(x)\\\\\left(\dfrac{f(x)}{g(x)}\right)'=\dfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}$

5 0

3 years ago

In our family there is five boys and one girl. What percent of the family is boys?

saw5 [17]

Answer:

83% are boys

Step-by-step explanation:

Im not sure if you have to round but you take the total number of family members (6) and divide it by how many boys (5) which would be 0.8333333 which you can round to either 80 or 83

8 0

3 years ago

A company has determined that the number of items it sells varies inversely as the price of the item. If 20,000 items can be sol

mestny [16]

Let N be the number of items sold and p the price.
Since the variation is inverse, then the relation between N and p is:
$N=k\dfrac{1}{p}$
For N=20000 and p = $9.5, we get the formula:
$20000=k\dfrac{1}{9.5}\\p=20000\times9.5=190000$
If p = 8.75, then the number of items sold can be computed using the formula:
$N= 190000\dfrac{1}{8.75}=21714 \text{ total items}$

6 0

3 years ago

g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the len

vredina [299]

Answer:

$-\frac{10}{3}ft/s$

Step-by-step explanation:

We are given that

Height of man=5 foot

$\frac{dy}{dt}=-10ft/s$

Height of street light=20ft

We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.

ABE and CDE are similar triangle because all right triangles are similar.

$\frac{20}{5}=\frac{x+y}{x}$

$4=\frac{x+y}{x}$

$4x=x+y$

$4x-x=y$

$3x=y$

$3\frac{dx}{dt}=\frac{dy}{dt}$

$\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s$

Hence, the rate of change of the length of his shadow when he is 25 ft from the street light= $-\frac{10}{3}ft/s$

7 0

3 years ago

Washington elementary has 4,358 students.jefferson high schol has 3 times as many students as washington elementary.about how mn

schepotkina [342]

Jefferson High School has a population of 13,074.

8 0

3 years ago

Read 2 more answers