Two boats leave Port West at 8:00am. One boat travels a bearing of N23°E at a speed of 14 knots. The other travels a bearing of N78°E at a speed of 22 knots. How far apart are the boats at 11:00am?

Answer:

1188

Step-by-step explanation:

33 X 36 = 1188

TO FIND AREA: Height x width= area

Height is 33 Width is 36

40 is just a distraction! :)

Answer:

the answer is given on the picture

The number of people like only coffee is 30 and the number of people like only tea is 55.

A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.

Let T=tea and C=coffee

n(T)=80

n(C)=55

n(T∩C)=25

People did not like both tea and coffee=30

ii) Number of people surveyed

n(T∪C)=n(T)+n(C)-n(T∩C)

= 80+55-25

= 110

Then,

n(∪)=n(TUC)+People did not like both tea and coffee

= 110+30

= 140

iii) Number of people like only Tea

=n(T)-n(T∩C)

=80-25

=55

iv) Number of people like only coffee

=n(C)-n(T∩C)

= 55-25

= 30

Therefore, the number of people like only coffee is 30 and the number of people like only tea is 55.

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The factorization of x2 - 6x + 5 is (x - 1)(x -5)

From the graph, the zeros of the function are:

x = 1 and x = 5

Set the zeros to 0

x - 1 = 0 and x - 5 = 0

Multiply the zeros

(x - 1)(x -5) = 0

Hence, the factorization of x2 - 6x + 5 is (x - 1)(x -5)

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Answer:

B.

Step-by-step explanation:

B. 0.078 is your answer

Answer:

1688/22

Step-by-step explanation:

keep, change, flip

Answer:

<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.

3M+58+8M+155=180

11M=180-213

11M=-33

M=-3

SO,

<PCH

3M+58

=3*(-3)+58

=58-9

=49-DEGREE

Answer:

1/a^2 is the answer to this question

Answer:

2 ( 2x+3) (2x-3)

Step-by-step explanation:

8x^2-18Factor out the greatest common factor of 2

2( 4x^2 -9)

2 ( (2x)^2 - 3^2)

What is inside the parentheses is the difference of squares

a^2 - b^2 = (a+b)(a-b)  

2 ( 2x+3) (2x-3)

Answer:

B. 2( 2 x + 2 ) ( 2x - 3 )

Step-by-step explanation:

8 x² - 18

2 ( 4 x ² - 9 )

2 ( ( 2x ) ² - ( 3 )²)

2 ( 2 x + 3 ) ( 2x - 3 )

Answer:

See below

Step-by-step explanation:

f(x - 1) is the translation of f(x) one unit right.

So the graph is exactly same shape but shifted right one unit.

f(x) has vertex (-1, 2)

The function y = f(-x) + 2 will have the vertex changed as per rule:

So the new vertex is:

Answer:25,000(0.15)^x

Step-by-step explanation:

I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.

Answer:

1.5

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{3}^x[/tex]

[tex]Options: 0.3\ 0.9\ 1.0\ 1.5[/tex]

Required

What value cause a stretch

For the function to stretch, then the scale factor must be greater than 1.

From the list of options.

Only 1.5 is greater than 1 i.e. [tex]1.5 > 1[/tex]

Hence, 1.5 will cause a stretch.

Answer:

ITS D. 1.5

Step-by-step explanation:

Step-by-step explanation:

2⁶X5⁴X3¹²/2²x5²x3⁴

2⁴ × 5²×3⁸

Answer:

Step-by-step explanation:

[tex]\frac{2^{6}*5^{4}*3^{12}}{2^{2}*5^{2}*3^{4}}=2^{6-2}*5^{4-2}*3^{12-4}\\\\\\=2^{4}*5^{2}*3^{8}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}, m>n[/tex]

In exponent division, if both numbers have same base, subtract the exponents.

Answer:

[tex]\frac{1}{27}[/tex]

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

[tex]\frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}[/tex]

Finally, we see that the probability of all three balls landing in the same bucket is [tex]\frac{1}{27}[/tex]

Answer:

The given table is

Quantity(x)     Price(y)

   1                  2.00

   2                 3.50

   3                 5.00

   4                 6.50

   5                 8.00

   6                 9.00

It means the points on the graph are (1,2), (2,3.50), (3,5), (4,6.50), (5,8) and (6,9).

The graph 1 represents all the above mentioned point, therefore option 1 is correct.

According to the graph 2, at quantity 6 the price of flower is 12, which is not correct. Therefore option 2 is incorrect.

The quantity of flower is always a whole number. So the graph is defined on the whole numbers only. It means the graph is a scatter plot instead of a curve of a straight line.

Therefore the option 3 and 4 are incorrect.

Step-by-step explanation:

Answer:

10 * 9 = 90

90/2 = 45

45 cm^2

Answer:

h = 20 ft

theta =53.13010235

Step-by-step explanation:

First we can find the height by the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs

15^2 + h^2 = 25^2

225 + h^2 = 625

h^2 = 625 - 225

h^2 = 400

Taking the square root of each side

h = 20 ft

Now using trig functions

cos theta = adj side / hyp

cos theta = 15/25

Taking the inverse cos of each side

cos^-1 ( cos theta) = cos^-1 ( 15/25)

theta =53.13010235

Step-by-step explanation:

Sorry I don't kNkw the amswer

Step-by-step explanation:

h na jwhwwhwhwhwhwhwhwhwjjwjwjwjje i don't know thrle answer

Answer:

Step-by-step explanation:

y = 4 - 3x + x^2 is to be rewritten in standard form.  To do this, rearrange the terms in order of powers of x, from highest to lowest.

y = 4 - 3x + x^2 becomes y = x^2 - 3x + 4

Answer:

x=1

y=-2

point form- (1,-2)

Answer:

[tex]9\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]\frac{x}{8-y}=\frac{48}{8-3}=\frac{48}{5}=9\frac{3}{5}[/tex]

Answer:

9.6

Step-by-step explanation:

x=48

y=3

=>x/8-y

=>48/(8-3)

=>48/5

=>9.6

Answer: A. preserves length, angle measures and distance between points

Rigid motions or isometries are any of the three transformations below

Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.

If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]{x=152.666....[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for x...}}\\\\3x+ 65= 523\\----------\\\rightarrow 3x + 65 - 65=523-65\\\\\rightarrow 3x = 458\\\\\rightarrow\frac{3x = 458}{3}\\\\\rightarrow \boxed{x=152.666....}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

[tex]\text{ Thank ~you!! }[/tex]

Answer:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]

Step-by-step explanation:

we want to differentiate the following by using limit:

[tex] \displaystyle \frac{d}{dx} \sqrt{x} [/tex]

derivative definition by limit given by

[tex] \rm \displaystyle \frac{d}{dx} = \lim _{\Delta x \to 0} \left( \frac{f(x + \Delta x) - f(x)}{ \Delta x} \right) [/tex]

given that,

f(x)=√x

so,

f(x+∆x)=√(x+∆x)

thus substitute:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \right) [/tex]

multiply both the numerator and denominator by the conjugate of the numerator:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \times \frac{ \sqrt{x + \Delta x} + \sqrt{x} }{\sqrt{x + \Delta x} + \sqrt{x}} \right) [/tex]

simplify which yields:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ (\sqrt{x + \Delta x}) ^{2} - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

simplify square:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{ \Delta x \to 0} \left( \frac{ x + \Delta x - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

collect like terms:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \Delta x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

reduce fraction:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ 1 }{ (\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

get rid of ∆x as we are approaching its to 0

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ \sqrt{x } + \sqrt{x}} [/tex]

simplify addition:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]

and we are done!

Answer:

100

Step-by-step explanation:

Given:

Tn = 2n

Where,

n = nth term

what will be its 50th term?

Tn = 2n

T(50) = 2(50)

= 100

T(50) = 100

Therefore,

The 50th term = 100