The generally agreed-upon combination of factors that contribute to modern alcohol use includes:_________

(sin²(x) - 1)/cos(x) = -1

-cos²(x)/cos(x) = -1

-cos²(x) = -cos(x)

cos²(x) - cos(x) = 0

cos(x) (cos(x) - 1) = 0

Then it follows that cos(x) = 0 or cos(x) = 1. But if cos(x) = 0, then the original expression on the left side of the equation would be undefined. Then C is the only valid solution.

Answer:

what is statistics ???

explain !!!

Step-by-step explanation:

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data. ... Probability is a mathematical language used to discuss uncertain events and probability plays a key role in statistics.Please mark me as brainliest

Answer:

(9 × 10⁴) (1.6 × 10³) / (2 × 10⁵) ( 3 × 10⁴) (1.2 × 10⁴)

The path between each building is an illustration of Pythagoras theorem.

See attachment for a copy of the given image.

The sidewalk between library and humanities

This is represented with (a).

The value of (a) will be calculated using Pythagoras theorem.

So, we have:

[tex]a^2 = 15^2 + 15^2[/tex]

[tex]a^2 = 450[/tex]

Take square roots

[tex]a = 21.21[/tex]

Sidewalk between chemistry and library

This is represented with (d).

First calculate the value of (b) and (c)

[tex]c + 15 = 30[/tex]

So:

[tex]c = 15[/tex]

Also:

[tex]b + 15 = 40[/tex]

So:

[tex]b = 25[/tex]

The value of (d) will be calculated using Pythagoras theorem.

[tex]d^2 = b^2 + c^2[/tex]

[tex]d^2 = 25^2 + 15^2[/tex]

[tex]d^2 = 850[/tex]

Take square roots

[tex]d = 29.15[/tex]

The sidewalk between chemistry and humanities

This is represented with (e).

The value of (e) will be calculated using Pythagoras theorem.

[tex]e^2 = d^2 + a^2[/tex]

[tex]e^2 = 850 + 450[/tex]

[tex]e^2 = 1300[/tex]

Take square roots

[tex]e = 36.06[/tex]

Learn more about Pythagoras theorem at:

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Answer:

x < 7

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

5x+7<42

Step 2: Subtract 7 from both sides.

5x+7−7<42−7

5x<35

Step 3: Divide both sides by 5.

x<7

For the graph, draw an open circle at 7 and an arrow pointing left.

Hope this helps! :D

Step-by-step explanation:

5x<42-7

5x<35

5x/5<35/5

x<7

Answer:

Step-by-step explanation:

The yellow face has a height of 2 inches and a length of 7 inches.

The area = 2 * 7 = 14.

Find the 2 and 7 on the left diagram.

Step-by-step explanation:

We are going to use the following properties of logarithms to solve this problem:

[tex]\log{\dfrac{a}{b}} = \log{a} - \log{b}[/tex]

and

[tex]\log{ab} = \log{a} + \log{b}[/tex]

So we can rewrite the given equation as

[tex]\log{2x^3} - \log{x} = \log{\left(\dfrac{2x^3}{x}\right)} = \log{2x^2}[/tex]

Also,

[tex]\log{16} + \log{x} = \log{(16x)}[/tex]

So we can write

[tex]\log{2x^2} = \log{(16x)}[/tex]

or eliminating the log symbols, we get

[tex]2x^2 = 16x[/tex]

The solutions for the equation above are

[tex]x = 8\:\text{and}\: 0[/tex]

Answer:

X= 30

y= 10

Step-by-step explanation:

(2x+90)=5x ( Opposite angles)

2x+90=5x

5x-2x= 90

3x=90

x=90/3

x= 30°

5x =5(30)=150

2x+90=2(30)+90=60+90=150

3y+150=180

3y=180-150

3y=30

y=30/3

y=10

I hope I helped you^_^

Answer:

Step-by-step explanation:

Answer:

Maggie is 13 years old.

Step-by-step explanation:

The explanation is attached.

Answer:

below

Step-by-step explanation:

1 corn equals 700-800 the yellow tiny thing.

so, lets just assume it has 700,

therefore, 700 - 6 = 694

694 + 1 = 695.

or 700 + 1 = 701.

or perhaps

800 - 6 = 794

794 + 1 = 795

or 800 + 1 = 801

but then again it depends on how much the yellow tiny thing is on the corn. bc, it could be 705, 807, or even 900, who knows.

Answer:

Not a function

Since x= produces y- -1 and y=-4, the relation (3,-1),(2,5),(4,-6),(3,4),(5,-8) is not a function.

Answer:

10%

Step-by-step explanation:

495-450=45

45x100/450=10

Answer:

Profit made by reselling = 495 - 450 = ₹45

So, percentage =

[tex] \frac{45}{450} \times 100 = 10\%[/tex]

So, gain percentage is 10%

Step-by-step explanation:

-2m-39=0

-2m=0+39

-m= 39/2

m= -19.5

Answer:

[tex]7m - 4 - 9m - 35 = 0 \\ 7m - 9m = 35 + 4 \\ - 2m = 39 \\ 2m = - 39 \\ m = \frac{( - 39)}{2} \\ \boxed{m = - 19.5}[/tex]

9514 1404 393

Answer:

  C.  (x -1)/(x +7)

Step-by-step explanation:

The factor (x +1) in the numerator cancels the same factor in the denominator, leaving the ratio (x -1)/(x +7). This matches choice C.

_____

Additional comment

Even though (x+1)/(x+1) = 1 and can be removed from the expression, the fact that it is undefined at x=-1 means the reduced ratio (x-1)/(x+7) is only a valid representation of the original ratio when x≠-1. The factor (x+1) may be gone, but the domain restriction associated with it remains.

Step-by-step explanation:

t coefficient = 1

+ 8t coefficient = 8

-t coefficient =( -1)

Answer:

34º

Step-by-step explanation: so basically you know a complementary angle is 2 angles that make a straight line and a vertical angle crosses which means 2 angles are congruent to each other so I drew a line that bisected the angle by drawing a line that cut through the right angle and i extended a line down from the right angle so now I have a vertical angle and a complementary so from here I labeled each angle <1 <2 <3  If I know angle 3 is 56º then I know 56 plus __ equals 90º I then subtracted 56 from 90 and I got 34 and since I am trying to figure out what angle 1 is I know that angle 1 and 2 are vertical angles therefore I know they are congruent to each other so <1 = 34º

Answer:

4x2 + 5 +

Step-by-step explanation:

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Answer:

The second answer choice is correct.

Step-by-step explanation:

4x + 5 + 13/x+5 (This is correct on edge.)

Step-by-step explanation:

[tex]A(2)=A(2-1)+6=A(1)+6=12+6=18[/tex]

Answer:

2.6+3.1+5.4 =21.1

if you have 20

subtract 21.1-20

then you have 1.1

since the difference is 1.1 then we say

21.1>20

Answer:

(m − 7) + 15

Step-by-step explanation:

Answer:

Total Number of times Spun = 1200

Key sentence: "Pr(Red) is same as Pr(Yellow).

Pr(Green)= 0.2

0.2 = x/1200

x= 0.2 x 1200

x = 240.

It landed on green 240 times

Pr(Brown) =0.54

0.54 = y/1200

y= 1200 x 0.54

y= 648.

Now

To get the Number of times it landed on Red and Yellow

You simply subtract that of Green and Brown from 1200 and divide this result by 2(Since Red and Yellow are have equal occurrence).

1200 – (648 + 240)

= 312.

312/2 = 156.

So It landed on Red and Yellow 156 times each.

Step-by-step explanation:

Red ----- 156times

Green -----240times

Brown ----- 648times

Yellow -----156times

Answer:

The number of cubic feet of water needed to fill the tank is [tex]216 \mathrm{ft}^{3}$[/tex]

The number of cubic yards of water needed to fill the tank is [tex]8 \mathrm{yd}^{3}[/tex]

Step-by-step explanation:

Given

A tank is in the shape of a cube with edge lengths of 6 feet.

Step 1 of 2

The volume of a cube with edge length [tex]$e$[/tex] is given by:

[tex]V=e^{3}[/tex]

Given that [tex]$e=6 \mathrm{ft}$[/tex], the number of cubic feet of water needed to fill the tank is:

[tex]V=6^{3}[/tex]

[tex]V=216 \mathrm{ft}^{3}[/tex]

Step 2 of 2

The number of cubic yards of water needed to fill the tank is

[tex]V=216 \mathrm{ft}^{3} \times \frac{(1 \mathrm{yd})^{3}}{(3 \mathrm{ft})^{3}}[/tex]

[tex]=8 \mathrm{yd}^{3}[/tex]

Learn more about volume, refer :

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