Just a little help please ☺️
Simplify

(3^8/3^5)3

3^9
3^39
3^10
3^6

As the distance from the lighthouse, LH, increases, the angle of elevation,

reduces.

Reasons:

The distance of point A from the light house = 968 feet

Angle of elevation from point A to the lighthouse = 7°

Angle of elevation from point B to the lighthouse = 3°

Required:

The distance from point A to point B.

Solution:

[tex]\displaystyle tan(\theta) = \frac{Opposite \, side \, to\, angle}{Adjacent\, side \, to\, angle} = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{Horizontal \ from \ boat \ to \ the\ LH}}[/tex]

Which gives;

[tex]\displaystyle tan(7^{\circ}) = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{968 \ feet}}[/tex]

Height to the lighthouse = tan(7°) × 968 feet  ≈ 118.86 feet

From point B, we have;

[tex]\displaystyle tan(3^{\circ}) = \mathbf{ \frac{118.86 \ feet }{Horizontal \ distance \ from \ point \ B\ to \ LH}}[/tex]

Therefore;

[tex]\displaystyle Horizontal \ distance \ from \ boat \ to \ LH = \frac{118.86 \ feet }{tan(3^{\circ})} \approx \mathbf{2237.9 \, feet}[/tex]

Therefore;

Distance from A to B = D

D = Horizontal distance from B to LH - Horizontal distance from A to LH

Distance from A to B = 2237.9 feet - 968 feet ≈ 1269.9 feet

The distance from point A to point B, D ≈ 1,269.9 feet

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Answer: Bill's $0.1333333 per oz

Step-by-step explanation:

Answer:

A

[tex]^{}[/tex]

Step-by-step explanation:

4

Add all to get 32

Divide by the number of items which is 8

answer =4

Answer: No, the mean of the data set is 4

(5+ 8+ 1+ 7+ 4+ 3+ 2+ 2)/8

= 32/8

=4

The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.

Let P represents the population as of the year(t) 2000. Given the equation:

[tex]P=3485e^{0.12t}[/tex]

In the year 2010 (t = 10 years), the population would be:

[tex]P=3485e^{0.12*10}=11571\ people[/tex]

For the population to reach 50000 people:

[tex]50000=3485e^{0.12t}\\\\t=22\ years[/tex]

The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.

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Answer:

11. attends

12. attend

Answer:

No solution

Step-by-step explanation:

Create an equation with the values given. Solve like an algebraic question.

11 > 3*x = 75> -1*x

3*x and -1*x should lead to a value greater than 11.

Since there is no value that can be multiplied by a negative and be a positive, besides negative numbers, in which the term of 11>3*x wouldn't be positive, this would have no solution.

No solution.

From the information given, the time taken for the rock to hit the ground will be 3.326 seconds.

From the information given, the formula for the height is given as:

h(t) = -16t² + v + h0

where,

h0 = 177

h(t) = 0

We'll put the values back into the formula. This will be:

h(t) = 16t² + v + h0

0 = -16t² + 177

16t² = 177

t² = 177/16

t = 3.326

Therefore, the time taken will be 3.326 seconds.

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Answer:

Step-by-step explanation:

Answer:

(m×1/3)-6=y

Step-by-step explanation:

Answer:

2000kkkkkkkkkkklllllk

Answer:

y ≤ -1/3x + 1

Step-by-step explanation:

find the slope and y-intercept and write equation in form of

y = mx + b;  m = slope and b = y-intercept

if you start at (0,1) and move down and to the right to (3,0) you get a slope equal to -1/3

we can see by looking at the graph that the y-intercept is 1

therefore, y ≤ -1/3x + 1

Answer:

A) x=4

B)x=[tex]\sqrt{2}[/tex]+3 or 7.24

Step-by-step explanation:

Answer:

88889

Step-by-step explanation:

This is because you do stacked subtraction to get final answer

Answer:

88,889

Step-by-step explanation:

98,765 - 9,876 = 88,889

Answer: [tex]2^{21}[/tex]

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Because 180-113 is 67.

Answer:

67°

Step-by-step explanation:

A line is 180° so subtract the 113°

180 - 113 = 67°

hope that helps and have a great day :D

Answer:

124.8 points (Total)

109.3 points (Lee High School & Rye High School)

Step-by-step explanation:

Total

Lee HS and Rye HS

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

Explanation:

x = speed of the plane in mph

x-180 = speed of the car, since its 180 mph slower than the plane

For the plane, we can form the equation

distance = rate*time

d = r*t

500 = xt

t = 500/x

For the car, we can say,

d = rt

140 = (x-180)t

140 = (x-180)*(500/x)

140x = 500(x-180)

140x = 500x - 90,000

140x - 500x = -90,000

-360x = -90,000

x = (-90,000)/(-360)

x = 250

The speed of the plane is 250 mph

-----------------------------

Extra info:

The car's speed is x-180 = 250-180 = 70 mph

It takes the plane t = d/r = 500/250 = 2 hours and it takes the car t = d/r = 140/70 = 2 hours. Both vehicles travel for 2 hours, which helps to confirm the answer.

Answer: 10g+6h+8

So none of the above I think

Step-by-step explanation:

Answer:

It should be C none of the above

Answer:

No

Step-by-step explanation: The first one is positive and the second one is negative

Given that the shape of the graph is curved, the rate of change can be

estimated by using the average value between specified points.

The points are;

Reasons:

The coordinates of the points marked (distances and time) during the walk are;

[tex]\begin{tabular}{|c|c|}Time (seconds), x&Distance from motion detector (meters), y\\0&1\\3&2\\5&4\\6&6\\7&7\\9&8\end{array}\right][/tex]

Required: Identification of two points marked on the graph that define the

interval where Samantha's average rate of change was 2/3 meters per

second.

Solution:

The average rate of change between two points is given by the ratio of

difference in the distance from the motion detector to the difference in

time between the points.

[tex]\displaystyle Average \ rate \ of \ change = \frac{Change \ in \ distance}{Change \ in \ time} = \mathbf{ \frac{\Delta y}{\Delta x}}[/tex]

At the required points, the change in the y-values, will be 2 × a, while the

corresponding change in x-values will be 3 × a, where, a is rational number.

From the above table, at the points where the time is 6 seconds and 9

seconds, we have the following distance time ordered pair;

(6, 6), and (9, 8), from which we have;

[tex]\displaystyle Average \ rate \ of \ change =\frac{\Delta y}{\Delta x} = \mathbf{\frac{8 - 6}{9 - 6}} = \frac{2}{3}[/tex]

Therefore;

The points [tex]\underline{(6, \, 6)}[/tex], and [tex]\underline {(9, \, 8)}[/tex], are two points that represent an interval

where her average rate of change was 2/3 meters per second.

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Answer:

-2.1

Step-by-step explanation:

Answer:

Hi, I hope i'll help you.

Step-by-step explanation:

The answer is 2.1, hope it helps!

Step-by-step explanation:

[tex] \frac{2}{3} = 2 \times \frac{1}{3} = 2 \times 0.333 = 0.666 \\ \\ \frac{7}{6} = 7 \times \frac{1}{6} = 7 \times \frac{1}{2} \times \frac{1}{3} = 7 \times 0.5 \times 0.333 = 1.1655 \\ \\ 3 \frac{1}{9} = 3 + \frac{1}{9} = 3 + ( \frac{1}{3} \times \frac{1}{ 3} ) = 3 + (0.333 \times 0.333) = 3 \times 0.11088 = 3.11088 \\ \\ 5 \frac{5}{18} = 5 + (5 \times \frac{1}{18} ) = 5 + (5 \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{2} ) = 5 +(5 \times 0.333 \times 0.333 \times 0.5) = 5 + 0.27722 = 5.27722[/tex]

Simplify:

6x + 6 = 3x - 15

Now use all solutions

6(7) + 6 = 3(7) - 15

42 + 6 = 21 - 15

Nearly, you can tell it doesn't work.

6(-7) + 6 = 3(-7) - 15

-42 + 6 = -21 - 15

-36 = -36

So, -7 is x.

Answer:

[tex] \pmb{3(2x + 2) = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x + 6 = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x - 3x = 15 + 6}[/tex]

[tex]\: \: \: \rightarrow \: {3x = 21}[/tex]

[tex]\: \: \: \rightarrow \: {x = \displaystyle{{ \frac{21}{3} }}}[/tex]

[tex]\: \: \: \pmb\rightarrow \: { \pmb{x = 7}}[/tex]

Answer:

distribute parenthesis

Step-by-step explanation:

6(2x + 1) = 4x - 5 ← distribute parenthesis on left side

12x + 6 = 4x - 5 ( subtract 4x from both sides )

8x + 6 = - 5 ( subtract 6 from both sides )

8x = - 11 ( divide both sides by 8 )

x = - [tex]\frac{11}{8}[/tex]

Answer -

Discount -

24.50 x 30/100

24.5 x 0.3 = 7.35 saved

24.5 - 7.35 = 17.15

Discount you saved $7.35 , which brings you price 17.15

tax -

17.15 + 0.34 = 17.49

With taxes you pay 17.49

HOPE THIS HELPS :)

Answer:

Not

Step-by-step explanation:

6/8 In Simplest Form 3/4

21/36 In Simplest Form 7/12 May Be The Answer Will Be Not Equivalent

Hope To Help!!!