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3 years ago

A student reads at a rate of 16 pages per day. Which ordered pair would be on a graph of this relationship?

Mathematics

1 answer:

Marrrta [24]3 years ago

5 0

I think that it would be (1,16)

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Express the limit as a definite integral on the given interval. lim n→[infinity] n xi ln(1 + xi2) Δx, [2, 7] i = 1

xenn [34]

Answer:

Step-by-step explanation:

$Consider \ the \ following \ series$

$\lim_{n \to \infty} \sum \limits ^n_{i=1} x_i \ In ( 1+ x_i^2) \Delta x , [2,7]$

$Let's \ recall \ the \ explanation \ of$ d $efinite$ $\ integral \ in \ terms \ of \ Riemann \ sum$

$\int^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(x_i) \Delta x , \ where \ \Delta x = \dfrac{b-a}{n}$

$By \ efinition, \ the \ limit \ is \ then \ expressed \ as \ integral$

$\lim_{n \to \infty} \sum ^a_{i=1} \ x_i \ In (1+x_i^2) \Delta x = \int^7_2 xIn (1+x^2) \ dx$

7 0

2 years ago

Jenny's mom is 36 years old. If Jenny's great-grandmother is 90 years old, what percent of Jenny's mother's age is Jenny's great

Serjik [45]

Answer:

The age of Jenny's mom is 40 % of age of Jenny's great-grandmother. (Input: 40)

Step-by-step explanation:

The percentage needed is calculated by the following expression:

$x = \frac{n_{M}}{n_{G}}\times 100\,\%$

Where:

$x$ - Percentage of Jenny's mother with respect to Jenny's great-grandmother, measured in percentage.

$n_{M}$ - Age of Jenny's mother, measured in years.

$n_{G}$ - Age of Jenny's great-grandmother, measured in years.

If we know that $n_{M} = 36\,yr$ and $n_{G} = 90\,yr$ , the percentage is:

$x = \frac{36\,yr}{90\,yr} \times 100\,\%$

$x = 40\,\%$

The age of Jenny's mom is 40 % of age of Jenny's great-grandmother.

3 0

3 years ago

The sum of 5.75 and half a number is -5. What is the number? Please help!

barxatty [35]

Answer:

$5.75 + \frac{x}{2} = - 5 \\ \frac{x}{2} = - 5 - 5.75 \\ \frac{x}{2} = - 10.75 \\ x = - 21.5$

4 0

2 years ago

Can someone help me please?

Zinaida [17]

I think the answer is c sorry if I’m wrong

6 0

2 years ago

Danielle worked three days last week for a total of 18.25 hours. She worked 6.5 hours on Monday and 5.75 hours on Wednesday. How

svet-max [94.6K]

Answer:

She worked for 6 hours on Saturday.

Step-by-step explanation:

Number of hours worked by Danielle last week = 18.25 hours

She worked for three days, Monday, Wednesday and Saturday.

Let she worked on Saturday = x hours

Therefore, total hours worked by Danielle in three days = 6.5 + 5.75 + x

And the equation will be,

6.5 + 5.75 + x = 18.25

12.25 + x = 18.25

x = 18.25 - 12.25

x = 6

Therefore, she worked for 6 hours on Saturday.

7 0

3 years ago