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Marat540 [252]
2 years ago
7

Find the area of the figure shown below and choose the appropriate result.

Mathematics
1 answer:
Neko [114]2 years ago
5 0
The answer is 39 cm squared
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What <br> arithmetic sequence with a_{4}=18 and a_{10}=48
nignag [31]

Answer:

a_{n} = 5n - 2

Step-by-step explanation:

the nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₄ = 18 and a₁₀ = 48 , then

a₁ + 3d = 18 → (1)

a₁ + 9d = 48 → (2)

subtract (1) from (2) term by term to eliminate a₁

6d = 30 ( divide both sides by 6 )

d = 5

substitute d = 5 into (1) and solve for a₁

a₁ + 3(5) = 18

a₁ + 15 = 18 ( subtract 15 from both sides )

a₁ = 3

Then

a_{n} = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2

3 0
1 year ago
Determine the value for c on {2, 5} that satisfies the Mean Value Theorem for f(x) = x^2 - 3 / x -1
yanalaym [24]

Answer:

B. 3.

Step-by-step explanation:

OK lets try again.

The slope of the secant = slope of the tangent at a certain point ( The Mean Value Theorem).

Slope of the secant = f(5) - f(2) / (5 - 2)

= [(25-3) / (5-1)  - (4-3) / (2-1)] / 3

=  (22/4 - 1) / 3

= 9/2 / 3

= 9/6

= 3/2.

The derivative at c = the slope of the tangent at c.

Finding the derivative:

f'(x) =  [2x(x - 1) - (x^2 - 3) ]/ (x - 1)^2    (where x = c).

= (x^2 - 2x + 3)/ (x - 1)^2 = the slope.

So equating the slopes:

(x^2 - 2x + 3) / (x - 1)^2 = 3/2

2x^2 - 4x + 6 = 3x^2 - 6x + 3

x^2 - 2x - 3 = 0

(x - 3)(x + 1) = 90

x = 3 , -1

x can't be -1 because we are working between the values 2 and 5 so

x = c = 3.

4 0
3 years ago
2/(11/16 +3) I know the answer is 12/29. I just don't know how to get there
kodGreya [7K]
11/6+3 is 29/6. 2/(29/6) is 12/29, which is the answer.
3 0
3 years ago
Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the fun
nataly862011 [7]

Answer:

Following are the responses to the given question:

Step-by-step explanation:

When x is squared, it's going to be bigger by the conclusion because the larger the faster. x^2 + 4consistently exceeds 4 x^2, regardless of the price of X.

5x+3 is always 3 more so than 5x.

In particular, this can be classified according to its pathways (5x

 5x\\\\5x + 3\\\\7x\\\\8x + 3\\\\x^2\\\\x^2 + 4

So can alternatively just say "eventually," which means because when x really is big, you need to find one another's values. Then just select x=100, then plug it into every single other. To confirm this order:

5(100) = 500\\\\5(100) + 3 = 503\\\\7(100) = 700\\\\8(100) + 3 = 803\\\\(100)^2 = 10,000\\\\(100)^2 + 4 = 10,004\\\\

So, the ascending order must be the right order!

4 0
2 years ago
The greatest common factor of 30.48.60
Elena-2011 [213]
30= 3*10
30= 3*2*5

48= 12*4
48= 3*4*4
48= 3*2*2*2*2

60= 3*20
60= 3*10*2
60= 3*2*5*2

The GCF is 3*2 because all 3 numbers contain a 3 and a 2 in their prime factorizations.

Final answer: 6
6 0
3 years ago
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