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Ymorist [56]
3 years ago
15

Use the trapezoidal rule and simpson's rule to approximate the value of the definite integral for the given value of n. round yo

ur answers to four decimal places and compare the results with the exact value of the definite integral. 2 x2 dx 0 , n = 4

Mathematics
1 answer:
Ugo [173]3 years ago
3 0

Try this solution (see the attachment), the answers are marked with green colour.

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Please help with question
Step2247 [10]
To solve this problem you must apply the proccedure below:

 1. Let's call:

 x: hot dogs.
 y: hamburguers.

 2. Then, you must make a system of equations, as below:

 5x+4y=12.25  (i)
 4x+5y=12.50  (ii)

 3. Now, you can solve the system of equation as below:

 5x+4y=12.25
 x=(12.25-4y)/5

 4x+5y=12.50
 4((12.25-4y)/5)+5y=12.50
 y=1.5

 4x+5y=12.50
 4x+5(1.5)=12.50
 x=1.25

 4. Therefore, the answer is:

 The cost of one hot dog is $1.25 and the cost of one hamburguer is $1.50
 
8 0
3 years ago
50 Benson purchased a $1,800 certificate of deposit that earns s
Pavlova-9 [17]

Answer:

3.2%

Step-by-step explanation:

The computation of the annual rate of interest is shown below:

As we know that

Simple interest = Principal × rate of interest × time period

($1,857.60 - $1,800)  = $1,800 × rate of interest × 1

$57.60 = $1,800 × rate of interest × 1

So, the rate  of interest is

= $57.60 ÷ $1,800 × 100

= 3.2%

Hence, the rate of interest on annual basis is 3.2%

5 0
3 years ago
Use the discriminate to determine the number and the nature of the solutions of the giving equation.
PolarNik [594]

Answer:

Since b^2 -4ac = 256 we have 2 real distinct root roots

Step-by-step explanation:

4x^2+12x=7

We need to subtract 7 to get it in the proper form

4x^2+12x-7=7-7

4x^2+12x-7=0

The discriminant is b^2 -4ac

when the equation is ax^2 +bx+c

so a =4   b=12 and c=-7

(12)^2 - 4(4)(-7)

144 +112

256

If b^2 -4ac > 0 we have 2 real distinct roots

If b^2 -4ac = 0 we have one real root

If b^2 -4ac < 0 we have two complex root

Since b^2 -4ac = 256 we have 2 real distinct root roots

7 0
3 years ago
What is the measure of 162<br> A. 324°<br> B. 162°<br> O C. 81°<br> D. 72°
telo118 [61]

Answer:

81

Step-by-step explanation:

trust me its correct

4 0
3 years ago
Would a scale factor of -2 be considered an expansion or a contraction?
LekaFEV [45]
Scale factors of negative numbers are contractions

scale factors of numbers greater then 1 are expansions
scale factors of numbers greater then 0 but less then 1 are contractions
6 0
3 years ago
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