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3 years ago

- 18 = x-6 solve for x.

Mathematics

2 answers:

nadya68 [22]3 years ago

3 0

Answer:

x=-12

Step-by-step explanation:

-18=x-6

-18+6=x--6+6

-12=x

krok68 [10]3 years ago

3 0

-18 = x - 6

First, do the opposite, so add 6 to both sides.

-18 + 6 = x

Now that x is alone, solve -18 + 6.

-18 + 6 = -12

Therefore..

X = -12

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Colin is an insurance adjuster who wants to determine how a driver's automotive insurance monthly premiums are related to the nu

GaryK [48]

Answer:

A multiple regression equation for this model can be expressed as:

$y=b_0+b_1x_1+b_2x_2+b_3x_3$

Step-by-step explanation:

To model this problem as a multiple regression equation, we need to define which are the independent and dependent variables.

The dependent variable is the one which we want to predict for any set of independent variables values. This is the case of the driver's automotive insurance monthly premiums.

The driver's automotive insurance monthly premiums is the dependent variable "y".

The independent variables are the ones that explain the dependent variable variation. In this case there are: number of miles driven per week (x1); the age of the car, in years (x2); and the number of accidents in which the driver has been involved in the past 5 years (x3).

Then, a multiple regression equation for this model can be expressed as:

$y=b_0+b_1x_1+b_2x_2+b_3x_3$

3 0

3 years ago

Ralph began work at 7 p.m .By 10 p.m ralph packed 18 boxes .At the same Ralph began work at 7 p.m .By 10 p.m ralph packed 18 box

Montano1993 [528]

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4 0

3 years ago

Help Solve the linear equation word problem!

Crazy boy [7]

Answer:

Step-by-step explanation:

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Hope that helps!

7 0

2 years ago

"We might think that a ball that is dropped from a height of 15 feet and rebounds to a height 7/8 of its previous height at each

tatyana61 [14]

Answer:

Total Time = 4.51 s

Step-by-step explanation:

Solution:

- It firstly asks you to prove that that statement is true. To prove it, we will need a little bit of kinematics:

y = v_o*t + 0.5*a*t^2

Where, v_o : Initial velocity = 0 ... dropped

a: Acceleration due to gravity = 32 ft / s^2

y = h ( Initial height )

h = 0 + 0.5*32*t^2

t^2 = 2*h / 32

t = 0.25*√h ...... Proven

- We know that ball rebounds back to 7/8 of its previous height h. So we will calculate times for each bounce:

$1st : 0.25*\sqrt{15}\\\\2nd: 0.25*\sqrt{15} + 0.25*\sqrt{15*\frac{7}{8} } + 0.25*\sqrt{15*\frac{7}{8} } = 0.25*\sqrt{15} + 0.5*\sqrt{15*\frac{7}{8} }\\\\3rd: 0.25*\sqrt{15} + 0.5*\sqrt{15*\frac{7}{8} } + 2*0.25*\sqrt{15*(\frac{7}{8} })^2\\\\= 0.25*\sqrt{15} + 0.5*\sqrt{15*\frac{7}{8} } + 0.5*\sqrt{15*(\frac{7}{8} })^2\\\\4th: 0.25*\sqrt{15} + 0.5*\sqrt{15*\frac{7}{8} } + 0.5*\sqrt{15*(\frac{7}{8} })^2 + 2*0.25*\sqrt{15*(\frac{7}{8} })^3 \\\\$

$= 0.25*\sqrt{15} + 0.5*\sqrt{15*\frac{7}{8} } + 0.5*\sqrt{15*(\frac{7}{8} })^2 + 0.5*\sqrt{15*(\frac{7}{8} })^3$

- How long it has been bouncing at nth bounce, we will look at the pattern between 1st, 2nd and 3rd and 4th bounce times calculated above. We see it follows a geometric series with formula:

Total Time ( nth bounce ) = Sum to nth ( $\frac{1}{2}*\sqrt{15*(\frac{7}{8})^(^i^-^1^) } - \frac{1}{4}*\sqrt{15}$ )

- The formula for sum to infinity for geometric progression is:

S∞ = a / 1 - r

Where, a = 15 , r = ( 7 / 8 )

S∞ = 15 / 1 - (7/8) = 15 / (1/8)

S∞ = 120

- Then we have:

Total Time = 0.5*√S∞ - 0.25*√15

Total Time = 0.5*√120 - 0.25*√15

Total Time = 4.51 s

5 0

3 years ago

The graph shows the prices of different brands of sandals. Is this graph misleading? Why or why not?

77julia77 [94]

Answer: Choice C

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even though we don't start at 0, the difference in bar heights is not exaggerated

graph is not misleading

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

Explanation:

Choice A is not true because the vertical axis starts at 5 and not 0

Choice B is the same story as choice A.

Choice D is not true because the vertical axis does not use an irregular interval. The interval or tickmark distance is $5 each time. In other words, the value goes up by 5 each time.

So far, choices A, B and D have been crossed off the list. The only thing left is choice C.

Despite the fact that the vertical axis starts at 5, instead of 0, the graph is not misleading. The heights of the bars can be compared to see that brand H is the most expensive brand. So in a sense, we can ignore the data values along the vertical axis and still be able to see that brand H is the most expensive. The other brands are close to one another in cost.

side note: the bar graph should have a zig-zag line at the very bottom of the vertical axis to indicate "we are not starting at y = 0". This is handy if you happen to start with much larger y values.

7 0

2 years ago