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Anna11 [10]
3 years ago
5

The left and right page numbers of an open book are two consecutive integers whose sum is 519. Find these page numbers.

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
7 0

Answer:

The answer is 259 and 260

Step-by-step explanation:

519/2= 259.5

259+260=519

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Which of the following is the equation of the function below?
puteri [66]

Answer:

The equation of the graph below is y = 0.5 csc[0.5(x + π/2)] - 1 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the trigonometry transformation

- If the equation is y = A csc(B(x + C)) + D

# Amplitude is A

- The Amplitude is the height from the center line to the peak .

  Or we can measure the height from highest to lowest points and

  divide that by 2

# period is 2π/B

- The Period goes from one peak to the next

# phase shift is C (positive is to the left)

- The Phase Shift is how far the function is shifted horizontally

  from the usual position.

# vertical shift is D

- The Vertical Shift is how far the function is shifted vertically from

 the usual position.

- If y = csc(x)

∴ A = 1 , B = 1 , C = 0 , D = 0

- That means the amplitude is 1, the period is 2π, no phase shift

 or vertical shift

* Now lets solve the problem

- From the graph

# The amplitude = (-0.5 - -1.5)/2 = 0.5

∴ A = 0.5

# The period is from 2.5π to -1.5π

∴ The period is 4π

∵ The period = 2π/B

∴ 4π = 2π/B ⇒ by cross multiplication

∴ B = 2π/4π = 1/2 = 0.5

* There is only one answer has A = 0.5 and B = 0.5

∴ y = 0.5 csc[0.5(x + π/2)] - 1

* The equation of the graph below is 0.5 csc[0.5(x + π/2)] - 1

* For more understand look to the color graph

- The blue graph is y = csc(x)

- The green graph is y = 0.5 csc[0.5(x + π/2)] - 1

5 0
3 years ago
Read 2 more answers
If 75% is 10 days, how many days is the remaining 25%?
inna [77]

Answer:

10/3 days  or 3 1/3 days

Step-by-step explanation:

Let d = number of days total

75% of the days is 10

.75 d = 10

d = 10/.75

d = 40/3 days

We want to know how man is 25% of d

d * 25%

(40/3) *.25

10/3 days

6 0
2 years ago
Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu. Assume
Sphinxa [80]

Answer: (1.55, 6.45)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline\ {x}\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Sample size : n=41

Sample mean : \overline{x}=4.0\text{ kg}

Standard deviation : \sigma=6.1\text{ kg}

Then, 99% confidence interval for population mean will be :_

4\pm\ (2.576)\dfrac{6.1}{\sqrt{41}}\\\\\approx4\pm2.45\\\\=(4-2.45, 4+2.45)=(1.55, 6.45)

8 0
3 years ago
I just need somebody to double check my answers. I’m pretty sure I’m right but I don’t really know.
Fantom [35]

Answer:

<h2>Yeah, all answer is right</h2>

<h2>I HOPE IT IS HELPFUL</h2>
4 0
2 years ago
Read 2 more answers
Line g passes through points (1, 1) and (10,9). Line h is perpendicular to g. What is the
shusha [124]

Answer:

-9/8

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

using (1,1) and (10,9)

m = (9 - 1)/(10 - 1)

m = (8)/(9)

m = 8/9

slope of line g is 8/9

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of h is -9/8

5 0
3 years ago
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