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d1i1m1o1n [39]
3 years ago
7

2. 16, 48 Factors of 16: Factors of 48: Common factors: GCF: I need the answers

Mathematics
1 answer:
joja [24]3 years ago
4 0

Answer:

Factors of 16: 1, 2, 4, 8, 16

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Common factors: 1, 2, 8, 16

GCF: 16

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AP Calculus redo! I know the answer but can't figure out exactly how to get there. Thank you! I want to work through the steps.
Monica [59]
You're approximating

\displaystyle\int_1^5 x^2\,\mathrm dx

with a Riemann sum, which comes in the form

\displaystyle\int_a^b f(x)\,\mathrm dx=\lim_{n\to\infty}\sum_{i=1}^nf(x_i)\Delta x_i

where x_i are sample points chosen according to some decided-upon rule, and \Delta x_i is the distance between adjacent sample points in the interval.

The simplest way of approximating the definite integral is by partitioning the interval into equally-spaced subintervals, in which case \Delta x=\dfrac{b-a}n, and since [a,b]=[1,5], we have

\Delta x=\dfrac{5-1}n=\dfrac4n

Using the right-endpoint method, we approximate the area under f(x) with rectangles whose heights are determined by their right endpoints. These endpoints are chosen by successively adding the subinterval length to the starting point of the interval of integration.

So if we had n=4 subintervals, we'd split up the interval of integration as

[1,5]=[1,2]\cup[2,3]\cup[3,4]\cup[4,5]

Note that the right endpoints follow a precise pattern of

2=1+\dfrac44
3=1+\dfrac84
4=1+\dfrac{12}4
5=1+\dfrac{16}4

The height of each rectangle is then given by the values above getting squared (since f(x)=x^2). So continuing with the example of n=4, the Riemann sum would be

\displaystyle\sum_{i=1}^4\left(1+\dfrac{4i}4\right)^2\dfrac44

For n=5,

\displaystyle\sum_{i=1}^5\left(1+\dfrac{4i}5\right)^2\dfrac45

and so on, so that the definite integral is given exactly by the infinite sum

\displaystyle\lim_{n\to\infty}\sum_{i=1}^n\left(1+\dfrac{4i}n\right)^2\dfrac4n
4 0
3 years ago
HELP ME THIS IS EXTRA CREDIT!!!!!!! 
Svetach [21]
2800 + 1.18x = y
x = monthly sales
y = monthly income
y needs to be at least 6400 so that means;

2800 + 1.18x ≥  6400
1.18x ≥ 6400 - 2800
x ≥ (6400 -2800) / 1.18
x ≥ 3050

So she needs to earn at least 3050, which means <span>≥ 3050</span>

3 0
3 years ago
[y = 4x] [x + y = 5]
alexandr1967 [171]
X=1, y=4

Substitute 4x in for y in the second equation and you get 5x=5. Divide out 5 and you get x=1. Then, you can plug 1 in for x into either equation and solve for y.
5 0
2 years ago
What type of function is shown in the table below?
KatRina [158]

Answer:

polynomial

the table shows x^2 = y

4 0
2 years ago
Read 2 more answers
A 2-liter bottle of juice costs $2.80. A box containing six 12-liter bottles sells for $3.90. Which option has a higher cost per
barxatty [35]

Answer:The first option has a higher cost per liter and the required cost is $1.40 per liter.

Step-by-step explanation:

Step-by-step explanation:  Given that a 2 liter bottle of juice cost $2.80. A box containing six 12 liter bottle sells for $3.90.

We are to select the option that has a higher cost per liter.

We will be using the UNITARY method to solve the given problem.

Option (1) :  

The cost of 2 liter bottle of juice = $2.80.

So, the cost of 1 liter bottle of juice will be

Option (2) :  

The cost of six 12 liters bottle of juice = $3.90.

So, the cost of 1 liter bottle of juice will be

Since 0.05>1.40, so the option of 2 liter bottle costing $2.80 has a higher cost per liter.

And, the required cost is $1.40 per liter.

7 0
2 years ago
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