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Evgesh-ka [11]
3 years ago
11

The lenght of a side of a sqeare whose perimeter is r units

Mathematics
1 answer:
suter [353]3 years ago
6 0

Answer:

r/4 units

Step-by-step explanation:

each side of a square is of the same length, perimeter is the sum of the 4 length, length of a side of square = r/4 units

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Compute Δy and dy for the given values of x and dx = Δx. (Round your answers to three decimal places.) y = ex, x = 0, Δx = 0.4
kobusy [5.1K]

Answer:

0.492

Step-by-step explanation:

According to the given situation,  the calculation of Δy and dy is shown below:-

y = e^x, x = o, \Delta x = 0.6

dy = f'(x) = e^x

dy = e^x dx

= e^x (0.4)

dy = 0.4e^x

\Delta y = f(0.4) - f(0)

= e^{0.4} - e^0

Now we use the scientific calculator or spreadsheet to determine the exponential value

= 1.491824698  - 1

= 0.491824698

or

= 0.492

Therefore for computing the  Δy and dy we simply applied the above formula.

Hence, the answer is 0.4918

5 0
3 years ago
Write a recursive rule and an explicit rule for the<br> sequence<br> 3,7,11,15
m_a_m_a [10]

Answer:

The Recursive formula for the sequence is:

aₙ = aₙ₋₁ + d

The Explicit formula for the sequence is:

a_n=4n-1

Step-by-step explanation:

Given the sequence

3,7,11,15

Here:

a₁ = 3

computing the differences of all the adjacent terms

7 - 3 = 4, 11 - 7 = 4, 15 - 11 = 4

The difference between all the adjacent terms is the same and equal to

d = 4

We know that a recursive formula basically defines each term of a sequence using the previous term(s).

The recursive formula of the Arithmetic sequence always involves the first term.

a₁ = 3

We know that, in the Arithmetic sequence, every next term can be obtained by adding the common difference and the preceding term.

so

The recursive formula of the sequence is:

aₙ = aₙ₋₁ + d

substitute n = 2 to find the 2nd term

a₂ = a₂₋₁ + d

a₂ = a₁+ d

substitute a₁ = 3 and d = 4

a₂ = 3 + 4

a₂ = 7

Thus, the recursive formula for the sequence 3,7,11,15 is:

aₙ = aₙ₋₁ + d

<u>An explicit rule for the sequence</u>

Given the sequence

3,7,11,15

We already know that

a₁ = 3

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

substituting a₁ = 3 and d = 4

a_n=4\left(n-1\right)+3

a_n=4n-4+3

a_n=4n-1

Therefore, an explicit rule for the  sequence

a_n=4n-1

6 0
2 years ago
How do you solve E-L
Evgesh-ka [11]

A. (6,-3) HE

B.(0,-2) MADE

C. (5,4) A

D. (-4,-8)KNOT

E. (-5,-4) IN

F. (-2,4) HIS

G. (1,3) TAIL

H. (4,12) AND

I. (6,0) CALLED

J. (-3,-3) IT

K. (-2,6) A

L. (-1,-8) PIG'S

I am sure about the answers but i not sure if i put them with the right words. Just double check to make sure

4 0
3 years ago
Laine reads 252525 pages in 303030 minutes.
Marysya12 [62]
240240240minutes 
you have to take the amount she reads and divide it by the number of pages per 303030 minutes then take the answer times the amount of time it takes
200200200/252525=792.7935848
792.7935848x303030=240240240
4 0
3 years ago
Read 2 more answers
Mary owns a coffee shop. She charges $4.50 for a cup of coffee, and it costs her $1.25 to make each cup of coffee plus a $75 a d
Elena L [17]

Answer:

Approximately 23 cups of coffee

Step-by-step explanation:

Break even = Fixed cost/Selling price - variable cost

Fixed cost = $75

Selling price = $4.50

Variable cost = $1.25

Break even = $75/$4.50 - $1.25

= 23.076923077

Approximately = 23

Therefore, Mary has to sell approximately 23 cups of coffee daily in order to break evem

5 0
3 years ago
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