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3 years ago

10

A play director set up four rows of eight chairs in front of the stage as shown. A seat is randomly chosen. Which expression giv

es the probability that it is a front row seat or an aisle seat?

1 answer:

faust18 [17]3 years ago

3 0

The answer is a,,,,,,,

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Secants P N and L N intersect at point N outside of the circle. Secant P N intersects the circle at point Q and secant L N inter

JulijaS [17]

Answer:

A circle is shown. Secants P N and L N intersect at point N outside of the circle. Secant P N intersects the circle at point Q and secant L N intersects the circle at point M. The length of P N is 32, the length of Q N is x, the length of L M is 22, and the length of M N is 14.

In the diagram, the length of the external portion of the secant segment PN is <u>X</u>

The length of the entire secant segment LN is <u>36</u>.

The value of x is <u>15.74</u>

Step-by-step explanation:

Snap

Jona_Fl16

7 0

3 years ago

Read 2 more answers

A comet is estimated to be about 960,000,000 km from Earth. Write this distance in scientific notation. [?] × 10 km Enter 13

Kitty [74]

Answer:

$(9*10^{9})( 6*10^{8})$ or 9.6×10^8

Step-by-step explanation:

The answer is written above.

Hope this helps!

6 0

2 years ago

Read 2 more answers

djyliett [7]

Answer:

$3800

Step-by-step explanation:

When simple interest is added to the principal amount, the sum increases linearly with time. Essentially, you are asked for the y-intercept of a line that goes through the points (2, 6200) and (3, 7400). You can use the 2-point form of the equation of a line to find it:

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (7400 -6200)/(3 -2)(x -2) +6200 . . . . fill in given points

y = 1200(x -2) +6200 . . . . . . . . . simplify some

y = 1200x -2400 +6200 . . . . . . simplify more

y = 1200x +3800 . . . . . . . . . . . . . completely simplify

When the number of years (x) is zero, the amount is 3800. The principal is $3800.

_____

The account is earning $1200 per year on a principal of $3800. The interest rate is about 31.6%, an unusually high value.

_____

<em>Alternate solution</em>

You can recognize that the interest earned in one year is 7400 -6200 = 1200. Since this is simple interest, the amount of interest earned each year is the same, so in 3 years, the account has earned 3×$1200 = $3600 in interest. Then the original principal amount must be ...

$7400 -3600 = $3800 . . . . . principal amount

5 0

4 years ago

Test yourself 2

mafiozo [28]

Ok, so dy/dx=0 at the point (0,3) that is where x=0 and y=3.

$\int { 6x+6dx } \\ \\ =\frac { 6{ x }^{ 2 } }{ 2 } +6x+C\\ \\ =3{ x }^{ 2 }+6x+C$

$\\ \\ \therefore \quad { f }^{ ' }\left( x \right) =3{ x }^{ 2 }+6x+C$

Now, f'(x)=0 when x=0.

Therefore:

$0=C\\ \\ \therefore \quad { f }^{ ' }\left( x \right) =3{ x }^{ 2 }+6x$

Now:

$\int { 3{ x }^{ 2 } } +6xdx\\ \\ =\frac { 3{ x }^{ 3 } }{ 3 } +\frac { 6x^{ 2 } }{ 2 } +C$

$={ x }^{ 3 }+3{ x }^{ 2 }+C\\ \\ \therefore \quad f\left( x \right) ={ x }^{ 3 }+3{ x }^{ 2 }+C$

But when x=0, y=3, therefore:

$3=C\\ \\ \therefore \quad f\left( x \right) ={ x }^{ 3 }+3{ x }^{ 2 }+3$

7 0

3 years ago

Read 2 more answers

PLEASE HELP! What is the value of x? Enter your answer in the box. x =

enyata [817]

Answer:

x = 20

Step-by-step explanation:

The indicated angles are vertical and therefore congruent, hence

6x - 10 = 3x + 50 ( subtract 3x from both sides )

3x - 10 = 50 ( add 10 to both sides )

3x = 60 ( divide both sides by 3 )

x = 20

8 0

3 years ago