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3 years ago

3x+6=42. Solve for X

Mathematics

2 answers:

sineoko [7]3 years ago

7 0

Answer:

x=12

Step-by-step explanation:

subtract 6 from both sides, you're left with 3x=36 then divide both sides by 3. x=12

Anika [276]3 years ago

6 0

12 is the answer to the question

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What is the volume of a cylinder that has a diameter of 14 and height of 18? Round your answer to the nearest

mamaluj [8]

Answer:

252

Step-by-step explanation:

and it has the nearest tenth value is 126

6 0

3 years ago

QUESTION 6

IgorLugansk [536]

Question 6

Step-by-step explanation:

the answer is f(a)=2a²+ 4a+5

Question 7

2a²+4ah+2h²+4a+4h+5

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2 years ago

Michelle read 72 pages in 3 hours. What was her unit rate of pages read per hour?

shutvik [7]

Answer:

24 pages per hour

Step-by-step explanation:

72 pages = 3 hours

To find the rate of pages per hour, divide both sides by 3.

72/3 = 24, 3/3=1

24 pages per 1 hour, 24:1

3 0

3 years ago

Write an equation (a) in slope intercept form and (b) in standard form for the line passing through (1,9) and perpendicular to 3

maxonik [38]

Answer:

$\large\boxed{a)\ y=\dfrac{5}{3}x+\dfrac{22}{3}}\\\boxed{b)\ 5x-3y=-22}$

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\m-slope\\b-y-intercept\\\\\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================\\\\\text{We have the equation of a line in the standard form.}\\\text{Convert it to the slope-intercept form.}\\\\3x+5y=1\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\5y=-3x+1\qquad\text{divide both sides bvy 5}\\\\y=-\dfrac{3}{5}x+\dfrac{1}{5}\to m_1=-\dfrac{3}{5}$

$a)\\\\y=m_2x+b\\\\m_1=-\dfrac{3}{5}\to m_2=-\dfrac{1}{-\frac{3}{5}}=\dfrac{5}{3}\\\\\text{Put the value of slope and the coordinates of the given point (1, 9)}\\\text{to the equation of a line:}\\\\9=\dfrac{5}{3}(1)+b\\\\9=\dfrac{5}{3}+b\qquad\text{subtract}\ \dfrac{5}{3}\ \text{from both sides}\\\\\dfrac{27}{3}-\dfrac{5}{3}=b\\\\\dfrac{22}{3}=b\\\\\text{Finally:}\\\\y=\dfrac{5}{3}x+\dfrac{22}{3}$

$b)\\\\\text{The standard form of an equation of a line:}\\\\Ax+By=C\\\\\text{Convert the equation}\ y=\dfrac{5}{3}x+\dfrac{22}{3}\ \text{to the standard form:}\\\\y=\dfrac{5}{3}x+\dfrac{22}{3}\qquad\text{multiply both sides by 3}\\\\3y=5x+22\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+3y=22\qquad\text{change the signs}\\\\5x-3y=-22$

6 0

3 years ago

An executive in the home construction industry is interested in how house size (House) is influenced by family income (Income),

Harman [31]

Answer:

Check the explanation

Step-by-step explanation:

(a)

P-value of income and size is 0.0003 and 0.0001 respectively. Both are less than 0.05 level of significance. So these are significant ot the model. Option D is correct.

(b)

The model is

House_size = -1.6335+0.4485*income + 4.2615*family_size -0.6517*school

Here we have income = 85600/1000 = 85.6

family_size = 6

school = 13

So the predicted house size is

House_size = -1.6335+0.4485*85.6 + 4.2615*6 -0.6517*13=53.855

the predicted house size (in hundreds of square feet) is 53.86. hence, option B is correct.

Here we have income = 100000/1000 = 100

family_size = 10

school = 16

So the predicted house size is

House_size = -1.6335+0.4485*100 + 4.2615*10 -0.6517*16=75.40

Residual : observed value- predicted value = 70 - 75.40 = -5.40

Option C is correct.

7 0

4 years ago