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Molodets [167]
2 years ago
5

Urgent.

Mathematics
1 answer:
den301095 [7]2 years ago
6 0

Answer:

#1. 105.5 because of the nine 4 goes to 5

#2. 67,990,000 because of the 4 it doesn't go up

#3. -4.1 because of the 4 the 0 goes to 1

if the number place before the one you are rounding is 5,6,7,8,or 9you go up by one and the rest becomes zeros

if the number place before the one you are rounding is 0,1,2,3,or 4 you stay the same and the rest becomes zeros

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Paul has just enough money to buy either 5 erasers and 30 pencils or 10 erasers and 24 pencils. Each eraser costs $0.30. How muc
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6 0
3 years ago
Which point could be on the line that is perpendicular to and passes through point K?
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Read 2 more answers
Which of the following statements are true about the graph of f (x) = 1/4 coz ( x + π/3) - 1? Select all that apply.
Jobisdone [24]

Answer:

It has amplitude of \frac{1}{4}.

It is a horizontal shift of the parent function \frac{\pi}{3} units left.

Step-by-step explanation:

We have the function, f(x)=\frac{1}{4}\cos (x+\frac{\pi}{3})-1.

It is clear that the parent function is g(x)=\cos x.

So, we see that,

The amplitude of the function f(x) is \frac{1}{4}, which gives, \cos x => \frac{1}{4}\cos x.

Also, g(x) is translated \frac{\pi}{3} units to the left, which gives, \frac{1}{4}\cos x => \frac{1}{4}\cos (x+\frac{\pi}{3}).

Further, the function is translated 1 unit downward, resulting in f(x)=\frac{1}{4}\cos (x+\frac{\pi}{3})-1.

So, the correct options are,

It has amplitude of \frac{1}{4}.

It is a horizontal shift of the parent function \frac{\pi}{3} units left.

6 0
3 years ago
200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

6 0
1 year ago
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