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3 years ago

1 you type 500 words in 250 minutes find the wpm

1 answer:

4 0

1. wpm = number of words / number of minutes
so 500/250 = 2wpm

2. if one bus can hold 32 students, and you have 192 of them, divide the amount of students by the number that can fit on one bus
192/32 = 6 buses

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What is the nth term of the sequence -2 -8 -18 -32 -50

andreev551 [17]

Answer:

-2n²

Step-by-step explanation:

Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
$T_{n} = an^{2} +bn +c$

To find the value of a we just divide second difference ( -4 ) by 2:

$a = \frac{-4}{2}= -2$

Now we have:

$T_{n}= -2n^{2} +bn+c$

Substitute $n_{1}$ and $n_{2}$ into the equation above:

$T_{1} = -2(1)^{2} +b(1) +c$

$T_{2} = -2(2)^{2} +b(2)+c$

Since $T_{1}$ = -2 and $T_{2}$ = -8 , after simplification we have:

$b +c =0$
$2b+c=0$

The solution of this system is:

b=0, c =0

The general term is :

$T_{n} = -2n^{2}$

6 0

2 years ago

The historical walking tour of a town covers a total distance of 5 miles. The map shows that the path of the tour travels 3 inch

kari74 [83]

Since the problem is given all the total walking distance, the first thing we are going to do is find the total distance in the map:
$Diastance_{map}=3+4+2+1$
$Distance_{map}=10$
Now that we have the distance in the map, we can establish a ratio between the walking distance and the distance in the map:
$\frac{5miles}{10inches} = 0.5 \frac{mile}{inch}$

We can conclude that each inch the map represents 0.5 miles of walking distance.

7 0

3 years ago

Read 2 more answers

What is the correct factorization of 6x^2 -2x -20?<br> Please get correct!

Snezhnost [94]

→ 6x² - 2x - 20

→ 6x² + 10x - 12x - 20

→ x(6x + 10 ) - 2 (6x + 10)

→ (6x + 10) (x - 2) .

for

6x - 10 = 0

6x = 10

${x\:=\:\frac{5}{3}}\\$

for x - 2

x = 2

4 0

2 years ago

Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z. The demand for Model Z depen

grin007 [14]

The ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

<h3>What is a mathematical model?</h3>

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z.

The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases.

The demand for Model Z is estimated as

$D(p) = 180 + 10q - 4p$

Here, <em>p</em> is the price of Model Z.

Consider the following two statements:

1. When the average gasoline price q increases by $1, the revenue-maximizing price p" increases by $X.

$D(p) = 180 + 10q - 4p\\D(p) = 180 + 10(q+1) - 4(p+X)$

2. When the average gasoline price q increases by $1, the demand at the revenue-maximizing price (i.e., D(p*)) increases by a factor of Y.

$D(p)+Y = 180 + 10q - 4p\\(D(p)+Y) = 180 + 10(q+1) - 4(p+X)\\Y= 180 + 10(q+1) - 4(p+X)-D(p)\\$

Put the value of demand at the revenue-maximizing price as,

$Y= 180 + 10(q+1) - 4(p+X)-(180 + 10q - 4p)\\Y= 180 + 10q+10 - 4p-pX-180 - 10q + 4p\\Y= 10 -pX\\1=\dfrac{10}{Y}-\dfrac{pX}{Y}\\\dfrac{10}{Y}=\dfrac{pX}{Y}\\\dfrac{10}{pY}=\dfrac{X}{Y}$