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3 years ago

Directions: Select ALL the correct answers.Select all of the true statements.

Mathematics

2 answers:

gayaneshka [121]3 years ago

8 0

all real numbers are natural numbers

all natural numbers are rational numbers

Those are the correct answer

Marizza181 [45]3 years ago

4 0

The final answer is 1, and 2

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(a) Use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit. lim n→∞ n i = 1 Correct

Luba_88 [7]

Splitting up the interval of integration into $n$ subintervals gives the partition

$\left[0,\dfrac1n\right],\left[\dfrac1n,\dfrac2n\right],\ldots,\left[\dfrac{n-1}n,1\right]$

Each subinterval has length $\dfrac{1-0}n=\dfrac1n$ . The right endpoints of each subinterval follow the sequence

$r_i=\dfrac in$

with $i=1,2,3,\ldots,n$ . Then the left-endpoint Riemann sum that approximates the definite integral is

$\displaystyle\sum_{i=1}^n\frac{{r_i}^3}n$

and taking the limit as $n\to\infty$ gives the area exactly. We have

$\displaystyle\lim_{n\to\infty}\frac1n\sum_{i=1}^n\left(\frac in\right)^3=\lim_{n\to\infty}\frac{n^2(n+1)^2}{4n^3}=\boxed{\frac14}$

6 0

3 years ago

a shirt had a logo printed on the front. this logo increases the cost by 25% to £15. what was the original al cost of the shirt

DIA [1.3K]

Answer:

11.25

Step-by-step explanation:

15*(1-25%)=11.25

4 0

3 years ago

A license plate consists of two letters followed by two digits; for example, $MP78$. Neither the digits nor the letters may be r

alex41 [277]

If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

Given that a number plate can be formed using 2 alphabets which must come in increasing order.

We are required to find the number of plates that can be formed.

Number of total alphabets=26.

The number of plates will be equal to the number of ways in which two alphabets can be arranged.

Combination is the number of ways in which some combinations can be formed. It is expressed as n $C_{r}$ =n!/r!(n-r)!

Number of license plates=26 $C_{1}$ *25 $C_{1}$

=26*25

=650 plates

Hence If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

Learn more about combinations at brainly.com/question/11732255

#SPJ4

3 0

1 year ago

Multiple Choice: Please select the best answer and click "submit."

Vinvika [58]

I would say- f(x)=6x+2

8 0

3 years ago

Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60% percent of their plants a

Phantasy [73]

20 because 100 plants would have 60 flowers and 40 vegetables so 50% which is half would be 30 flowers and 20 vegetables