All categories

2 years ago

A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for pi

Mathematics

2 answers:

Ghella [55]2 years ago

7 0

Answer:

Circumference ≅ 195 mm

Step-by-step explanation:

The circumference of a circle is equal to: $2*\pi *radius$

Since $Diameter = 2*radius$ we can replace that in the circumference equation giving us:

$Circumference = \pi *Diameter$

We know Diameter = 622 mm and pi = 3.14 so:

$Circumference = \pi *Diameter = 3.14 * 622 mm = 195.308 mm$

melisa1 [442]2 years ago

4 0

Answer:

the answer is d

Step-by-step explanation:

You might be interested in

Solve for y py+qy=-4y+8

Dahasolnce [82]

Answer:

y = 8/p+q+4.

Step-by-step explanation:

5 0

2 years ago

3+2/5x=11-2/5<br> What is the solution

Pachacha [2.7K]

Answer:

5/53

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were millio

JulijaS [17]

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

$Initial =1\ million$

$6\ years\ later = 500,000$

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

$\frac{dA}{dt} = kA$

Where k represents the constant of proportionality

$\frac{dA}{dt} = kA$

Multiply both sides by dt/A

$\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}$

$\frac{dA}{A} = k\ dt$

Integrate both sides

$\int\ {\frac{dA}{A} = \int\ {k\ dt}$

$ln\ A = kt + lnC$

Make A, the subject

$A = Ce^{kt}$

$t = 0\ when\ A =1\ million$ i.e. At initial

So, we have:

$A = Ce^{kt}$

$1000000 = Ce^{k*0}$

$1000000 = Ce^{0}$

$1000000 = C*1$

$1000000 = C$

$C =1000000$

Substitute $C =1000000$ in $A = Ce^{kt}$

$A = 1000000e^{kt}$

To solve for k;

$6\ years\ later = 500,000$

i.e.

$t = 6\ A = 500000$

So:

$500000= 1000000e^{k*6}$

Divide both sides by 1000000

$0.5= e^{k*6}$

Take natural logarithm (ln) of both sides

$ln(0.5) = ln(e^{k*6})$

$ln(0.5) = k*6$

Solve for k

$k = \frac{ln(0.5)}{6}$

$k = \frac{-0.693}{6}$

$k = -0.1155$

Recall that:

$\frac{dA}{dt} = kA$

Where

$\frac{dA}{dt}$ = Rate

So, when

$A = 600000$

The rate is:

$\frac{dA}{dt} = -0.1155 * 600000$

$\frac{dA}{dt} = -69300$

<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>

7 0

2 years ago

Private universities claim to offer a higher quality education compared to public universities as justification for their more e

alex41 [277]

Answer:quasi experiment

Step-by-step explanation:

Because it is basically for comparison usually by measuring outcomes if a program by participants and non participants

8 0

3 years ago

what is the slope of the line that passes through the points (-4,-4) and (-4,-9)? Write your answer in simplest form

Aneli [31]

Answer:

undefined

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/(x2-x1)

= (-9- -4)/(-4 - -4)

= (-9+4)/(-4+4)

= -5/0

When we divide by zero, our solutions is undefined

The slope is undefined

3 0

3 years ago