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yaroslaw [1]
2 years ago
8

Write the set of all real numbers greater than 19 and less than 32 in set-builder notation.

Mathematics
1 answer:
Aleks04 [339]2 years ago
8 0

Answer: {xI x ∈ R, 19 < x < 32}

Step-by-step explanation:

This notation is:

{xI condition1, condition2, ...}

The first condition is:

From what set we take the values of x?

From the set of real numbers.

x ∈ R

The other conditions are the limitations that we have for x, in this case:

19 < x < 32

Then we can write this as:

{xI x ∈ R, 19 < x < 32}

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Hi, I don’t understand this question
meriva

Given that

z₁ = 15 (cos(90°) + i sin(90°))

z₂ = 3 (cos(10°) + i sin(80°))

we get the quotient z₁/z₂ by dividing the moduli and subtracting the arguments:

z₁/z₂ = 15/3 (cos(90° - 10°) + i sin(90° - 10°))

z₁/z₂ = 5 (cos(80°) + i sin(80°))

so that z₁ is scaled by a factor of 1/3 and is rotated 10° clockwise.

4 0
2 years ago
Which is the best estimate for the height of the candle after 1 hour?
salantis [7]

Answer:

about 5.5

Step-by-step explanation:

so 5cm. Just trust me i dont know how to explain but i know its right.

7 0
2 years ago
Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right e
DENIUS [597]
Hello,

Reminders:
$\sum_{i=1}^{n} i= \dfrac{n(n+1)}{2}$&#10;&#10;&#10;
$ \sum_{i=1}^{n} i^2= \dfrac{n(n+1)}{2}$&#10;&#10;
$ \sum_{i=1}^{n} i^3= \dfrac{n^2(n+1)^2}{4} $&#10;

n=6\\&#10;x_{0}=0\\&#10;x_{n}=3\\&#10;\Delta= \dfrac{x_n-x_0}{n}=0.5\\&#10;&#10;
x_{i} =0+\Delta*i= \frac{i}{2}

$ \sum_{i=1}^{n}\ \Delta*f(x_{i})=\sum_{i=1}^{6}\  \dfrac{i^3/8-6i}{2} $
$= \dfrac{1}{2}\sum_{i=1}^{6}  (\frac{i^3}{8} -6i)=\dfrac{1}{16}*\frac{(6*7)^2}{4}- \frac{9*7}{2}= -3.9575


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8 0
3 years ago
Read 2 more answers
Write a function rule for the statement.<br><br> The output is one more than twice the input.
Alina [70]
Dur

1 more than 2 times input
input is x
1 more than twice x
1+2x
f(x)=2x+1
5 0
3 years ago
Helps please does that look right to y’all ?
ladessa [460]
<h3>You have the correct answer</h3><h3>Interest rate = 21.5%</h3>

===============================================

Work Shown:

i = P*r*t .... simple interest formula

i = simple interest

i = 2075-1000 = 1075

P = 1000 = amount borrowed (principal)

r = unknown interest rate

t = 5 = time in years

So,

i = P*r*t

1075 = 1000*r*5

1075 = 5000r

5000r = 1075

r = 1075/5000

r = 0.215

r = 21.5%

5 0
3 years ago
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