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3 years ago

A grading machine can grade 48 tests in 1 minute. How

1 answer:

3 0

$\bf \begin{array}{ccll}
tests&minutes\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
48&1\\
300&m
\end{array}\implies \cfrac{48}{300}=\cfrac{1}{m}\implies m=\cfrac{300\cdot 1}{48}$

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The multiples of 2 form a sequence as follows: 2, 4, 6, 8, 10, 12, 14, 16, ... Describe the sequence you see. What about the mul

labwork [276]

Given:

The multiples of 2 form a sequence as follows: 2, 4, 6, 8, 10, 12, 14, 16, ...

To find:

Description of the sequence you see. What about the multiples of three? Four? Five?

Solution:

The multiples of 2 form a sequence as follows:

2, 4, 6, 8, 10, 12, 14, 16, ...

It is defined as $a_n=2n$ , where n is a natural number. It represents all positive even numbers.

Multiples of 3, 4 and 5 form the respective sequences:

$a_n=3n$ , i.e., 3, 6, 9, 12, 15, 18, 21, 24,...

$a_n=4n$ , i.e., 4, 8, 12, 16, 20, 24, 28, 32...

$a_n=5n$ , i.e., 5, 10, 15, 20, 25, 30, 35, 40...

3 0

3 years ago

A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

5 0

3 years ago

If £21 = 500 rubles, how many £ are in 780 rubles? Give your answer to 2 dp

Aleksandr [31]

Answer:

£32.76

Step-by-step explanation:

21/500=0.042

780x0.042 = 32.76

5 0

3 years ago

Simplify (3 - √7)(5 + √7)

MaRussiya [10]

You can use F.O.I.L. for this, which if you don't know stands for first outer inner last, so multiply the first in each parentheses, then the outer, then the inner, then the last. yours would be 3*5+3*√7+(-√7)*5+(-√7)*√7 => 15+3√7-5√7-7 => 8-2√7
Final answer:
8-2√7
Hope I could help :)

3 0

3 years ago

Read 2 more answers

What is a multiple of 10 32 24 2543654 2345452662 that are the same

miss Akunina [59]

Answer:

Step-by-step explanation:

2 Is a factor of them all

7 0

3 years ago