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drek231 [11]
3 years ago
15

Jai found the ratio of

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0
One hundred and fifty
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A line l2 is perpendicular to the line x + 2y – 5 = 0 without computing the gradient of this
Stells [14]

Answer:

y=2x-2

Step-by-step explanation:

first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept

add 5 to both sides

x+2y=5

subtract x from both sides

2y=-x+5

divide by 2

y=-1/2x+5/2

perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")

to find the slope of I2:

since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))

so here's our equation so far:

y=2x+b

now we need to find b

because line will pass through (3,4), we can use it to solve for b

substitute 4 as y and 3 as x

4=2(3)+b

multiply

4=6+b

-2=b

therefore the equation is y=2x-2

hope this helps!!

3 0
3 years ago
Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends o
Rus_ich [418]
<h2><u>Answer with explanation:</u></h2>

Let \mu be the population mean strain in a way that conveys information about precision and reliability.

The sample mean is the best point estimate of the true population mean .

As per given , we have

Sample size : n= 12

degree of freedom : df=12-1=11

Sample mean : \overline{x}=25.0

The true average strain in a way that conveys information about precision and reliability= 25.0

sample standard deviation : s= 3.3

Significance level : \alpha= 0.05

Since sample population standard deviation is unknown , so we use t-test.

Critical t-value for t : t_{\alpha/2, df}=t_{0.025, 11}=2.201

95% Confidence interval for true average strain in a way that conveys information about precision and reliability:

\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}

25.0\pm (2.201)\dfrac{3.3}{\sqrt{12}}\\\\=\approx 25.0\pm2.10\\\\=(25.0-2.10, 25.0+2.10)=(22.9,\ 27.1)

The 95% Confidence interval for true average strain in a way that conveys information about precision and reliability: (22.9,\ 27.1)

We 95% confident that the true population average strain in a way that conveys information about precision and reliability lies between 22.9 and 27.1 .

4 0
4 years ago
Expressions in 1 variable if x=15. -5x-71
Shkiper50 [21]

Answer:

-146

Step-by-step explanation:

3 0
4 years ago
A small family home in Tucson, Arizona has a rooftop area of 1967 square feet, and it is possible to capture rain falling on abo
lesya692 [45]

Answer:

Required of volume of tank = 39.62 m3 or 10471.18   gallons

Step-by-step explanation:

Total volume of water collected = Annual Rainfall * Useful Area

Total volume of water collected = 1199.87 * 1.1667

Total volume of water collected = 1399.89 ft3

---1 ft3 = 7.48 gallons

Hence, total volume of water collected in gallons = 1399.89 * 7.48 = 10471.178  gallons

----1 ft3 = 1/35.315 m3 = 0.0283 m3  

Therefore total volume of water collected in m3 = 1399.89 * 0.0283 = 39.6169 m3

Workings

Useful area = 61% of 1967

Useful area = 0.61 * 1967

Useful area = 1199.87 sq/ft.

Annual rainfall = 14 inch = 14/12 month

Annual rainfall = 1.1667 ft.

3 0
4 years ago
What are the x-intercepts for x2 + x - 6 = 0? (hint: factor first) please I need this asap
Nezavi [6.7K]
2 negative three.....use Math-way
5 0
3 years ago
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