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4 years ago

What is 18 divided by 0.75

Mathematics

2 answers:

mote1985 [20]4 years ago

7 0

Answer:

Step-by-step explanation:

ololo11 [35]4 years ago

6 0

Answer:24

Step-by-step explanation:

Did 18/.75

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Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

3 years ago

Natalie's group brought in pizza but is buying drinks at the concession stand medium sodas are a dollar and $.25 how many medium

Phantasy [73]

Keywords:

<em>Medium sodas, buy, dollars, divide </em>

For this case we must find the amount of medium sodas that Natalie's group can buy, taking into account that they have 20 dollars and that each medium soda costs 1.25 dollars. To solve, we must divide:

Let "x" be the number of medium sodas you can buy, then:

$x = \frac {20} {1.25}\\x = 16$

So, Natalie's group can buy 16 medium sodas with 20 dollars

Answer:

16 medium sodas

8 0

3 years ago

Which pair(s) of expression are equal in value? Check all that apply

ankoles [38]

Note: Since the symbols for greatest integer function (GIF) and least integer function (LIF) are not given, I will be using the words GIF and LIF in the solution

GIF x means largest integer less than or equal to x, and LIF x means least integer greater than or equal to x.

We need to determine which expressions are equal

Option 1: GIF 4.9 and LIF 3.1

GIF 4.9 = 3

LIF 3.1 = 4

Hence GIF 4.9 ≠ LIF 3.1

Option 2: GIF 15.2 and GIF 14.8

GIF 15.2 = 15

GIF 14.8 = 14

Hence, GIF 15.2 ≠ GIF 14.8

Option 3: GIF -6 and LIF -6

GIF -6 = -6

LIF -6 = -6

Hence, GIF -6 = LIF -6

Option 4: LIF -3.2 and LIF -2.6

LIF -3.2 = -2

LIF -2.6 = -1

Hence, LIF -3.2 ≠ LIF -2.6

Hence, only in Option C the pair of expressions are equal.

3 0

3 years ago

Read 2 more answers

What do you call a characteristic of a living thing that helps it survive?

WINSTONCH [101]

Answer:

An adaptation is a characteristic that helps a living thing survive and reproduce. True Natural selection is a change in the characteristics of living things over thing

6 0

3 years ago

Question 10 (3 points)

Zinaida [17]

Answer:

$3,090.64

Step-by-step explanation:

We shall allocate a random letter to each value, with that I explain the formula.

Initial value of investment = $5,003.86 = P

Rate of interest = 3.7% = R

Compounding interval in a year = 365 = I

Total period = 13 years = T

Value of investment in compound interest formula shall be:

$= P \times (1 + \frac{R}{(I})^{(I \times T)}$

Now, putting values in the above equation:

$= 5,003.86 \times (1 + \frac{0.037}{365}) ^{(365\times13)}$

= $8,094.50

Thus, interest earned = Total value of investment on maturity - Initially invested amount

= $8,094.50 - $5,003.86 = $3,090.64

4 0

3 years ago