the radius of a circle is (x-3)m. find the area of the circle

Answer:

Formula for g(x) is [tex]g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6[/tex]

Step-by-step explanation:

Given - g is a trigonometric function of the form g(x)=a sin (bx+c)+d.  The function intersects its midline at (-1 , 6) and has a minimum point at (-3.5 , 3)

To find - Find a formula for g (x). Give an exact expression.

Proof -

Given that,

g(x)=a sin (bx+c)+d

We know that, Midline is present in between maximum and minimum

Here given that, minimum is present is 3 and midline is present at 6

So, Maximum occurs at 9.

Now,

We know that,

Standard form of sine function is - g(x) = Asin(B(x-C)) + D

Where

A = Amplitude

and Amplitude = (Maximum - minimum) / 2

                         = (9 - 3)/ 2

                         = 6/2 = 3

⇒A = 3

Now,

Period = [tex]\frac{2\pi }{B}[/tex]

⇒B = (2π) / Period

      = (2π) / 10

      = π/5

⇒B = π/5

Now,

Phase Shift : C = -1 ( i.e. 1 to the left)

Vertical Shift : D = 6

So,

We get

g(x) = Asin(B(x-C)) + D

      = [tex]3 sin(\frac{\pi }{5}(x -(- 1))) + 6[/tex]

⇒[tex]g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6[/tex]

∴ we get

Formula for g(x) is [tex]g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6[/tex]

Answer:

Step-by-step explanation:

Answer:

-2.4

Step-by-step explanation:

Answer:

you will save 7.50 dollars.

Step-by-step explanation:

the sale price will be 42.50 dollars plus tax, if you need to include the tax.

Answer:

I saw people trolling your answer here is the answer! I am sorry what people are doing to you!

There is a rectangle and a cylinder

5ft cost 4.50

Area is 643

Now

643x4.5

Answer:

Around 2893.5

Answer:

[tex]x<11[/tex]

Step-by-step explanation:

Hi there!

[tex]2x-5<17[/tex]

Add 5 to both sides

[tex]2x-5+5<17+5\\2x<22[/tex]

Divide both sides by 2

[tex]\frac{2x}{2} < \frac{22}{2} \\x<11[/tex]

I hope this helps!

Answer:

3 is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Min:2

Q1:5

Med:7

Q3:13

Max:15

Step-by-step explanation:

Hope the picture helps. Not the best at drawing haha

Answer:

Venmo mee

Step-by-step explanation:

Answer:

5x+7=17

Step-by-step explanation:

5x+7=17

   -7    -7

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

5x=10

5      5

x=2

5(2)+7=17

10+7=17

17=17

The two step equations that equal 17 are:

1) 3x + 5 = 17

2) 2y - 8 = 17

The two examples of two-step equations that equal 17:

1) 3x + 5 = 17

To solve this equation, we subtract 5 from both sides:

3x + 5 - 5 = 17 - 5

3x = 12

Finally, we divide both sides by 3:

3x/3 = 12/3

x = 4

So the solution to the equation is x = 4.

2) 2y - 8 = 17

To solve this equation, we add 8 to both sides:

2y - 8 + 8 = 17 + 8

2y = 25

Next, we divide both sides by 2:

2y/2 = 25/2

y = 12.5

So, the solution to the equation is y = 12.5.

Learn more about Equation here:

https://brainly.com/question/29657983

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Answer:

hope this helps................................u

Step-by-step explanation:

208

Answer: the mean is 5

Step-by-step explanation:

adding all the numbers together and dividing them by the numbers that were there gives you the mean :0

Given:

The equation is:

[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]

To find:

The value of y.

Solution:

We have,

[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]

On cross multiplication, we get

[tex]y(p+q)=y(p-q)[/tex]

[tex]yp+yq=yp-yq[/tex]

[tex]yp+yq-yp+yq=0[/tex]

[tex]2yq=0[/tex]

Dividing both sides by 2q, we get

[tex]\dfrac{2yq}{2q}=\dfrac{0}{2q}[/tex]

[tex]y=0[/tex]

Therefore, the correct option is A.

Answer:  Y=48

Y is 4 times more than x. If x=12, y=48. Notice in the first part of the question, if you divide 64 by 4, you get 16. This means in order to get your answer, you must mulitiply x by 4 to get y. 12x4=48.

Brainliest please?

                                         XxRoadToAcexX

Answer:

Strong Negative

Step-by-step explanation:

We already know that the answer is between c and d because the correlation coefficient negative.

We just have to figure out whether it is strong or weak.

In general, anything between -.7 and -1 is considered to have a strong correlation. -.8 is in between -.7 and -1 therefore the correlation is best described as strong negative.

Answer:

The lower class limit of the first class is 40

Step-by-step explanation:

Given

See attachment for histogram

Required

The lower limit of the first class

The attached histogram has overlapping interval, and the intervals are:

40 to 60, 60 to 80, 80 to 100, and so on....

The first class here is:

40 to 60

As a general rule; a class is represented by Lower Limit to Upper Limit.

So, by comparison.

Lower Limit = 40

Upper Limit - 60

Answer:

Refer to the attachment [tex]\Huge{\blue{\nearrow}}[/tex]

Step-by-step explanation:

[tex]\setlength{\unitlength}{1.1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(1,3){6.4}}\put(25,30){\line(1, - 3){6.4}}\put(20,7){\line(3,1){68.5}}\put(20,52.8){\line(3, - 1){68.5}}\put(25,30){\circle*{1}}\put(88,30){\circle*{1.2}}\put(22,30){\sf O}\put(31,6){\sf A}\put(31,52){\sf B}\put(90,28.5){\sf P}\multiput(25,30)(3,0){21}{\line(2,0){1.8}}\qbezier(81.5,32)(78,30)(81,27.5)\qbezier(76,30)(74.5,28)(76,26)\put(33,45){\line(1,3){1.1}}\put(30,45.8){\line(3, - 1){3.2}}\put(30.5,14){\line(3,1){3.2}}\put(33.5,15){\line(1, - 3){1.1}}\put(21,18){\sf 6 cm}\put(73,30.8){\sf 120^\circ$}\put(69,26){\sf 60^\circ$}\end{picture}[/tex]

View the ans from Web for complete diagram.

Answer:

I hate edge :l

Answer:

B

Step-by-step explanation:

16 times means multiply the expression by 16

Answer:

m∠ZWX = 105°

Step-by-step explanation:

Properties of a kite,

1). One diagonal of a kite bisects at least one pair of opposite angles.

2). Diagonals of a kite kite are perpendicular to each other.

In ΔWTZ,

m∠WZT = [tex]\frac{1}{2}(m\angle WZY)[/tex]

              = [tex]\frac{1}{2}(100)[/tex]

              = 50°

m∠WTZ = 90° [By second property]

m∠WZT + m∠WTZ + m∠ZWT = 180°

50° + 90° + m∠ZWT = 180°

m∠ZWT = 180° - 140°

              = 40°

Similarly, in ΔWTX,

[tex]m(\angle WXT)=\frac{1}{2}(m\angle WXY)[/tex]

m(∠WXT) = [tex]\frac{1}{2}(50)[/tex]

                = 25°

m(∠WTX) = 90°

m∠WTX + m∠WXT + m∠TWX = 180°

90° + 25° + m∠TWX = 180°

m∠TWX = 180° - 115°

              = 65°

Since, m∠ZWX = m∠ZWT + m∠TWX

Therefore, m∠ZWX = 40° + 65°

                                 = 105°

Step-by-step explanation:

AC is not the hypotenuse. AB is the hypotenuse because its opposite the 90 deg angle

Answer:

Step-by-step-explination

Answer:

F=full page  H=half page

40H+75F=800

H+F=13  so H= 13-F  substitute 13-F for H in the first equation.

40(13-F)+75F=800

520-40F +75F=800

35F= 280  so F=280/35=8

8 fullpage and  5 halfpage ads

Step-by-step explanation:

Answer:

its 2

Step-by-step explanation:

because 2*2*2 is 8

Answer:

c > 20

Step-by-step explanation:

a number c is MORE THAN 20

* replace MORE THAN with ">" *

c > 20

Note: > and "more than" have the same meaning, > is just expressed as an inequality

Answer:

11/17

Step-by-step explanation:

Since Donald removed a yellow marble, it is no longer there: There are now 6 yellow marbles and 11 purple ones.  The total number of marbles in the bag is 6+11.

Total marbles: 17

Number of purple marbles: 11

Probability of drawing a purple marble: 11/17

Answer:

.5

Step-by-step explanation:

if you put 400 in an account and for nine months with 0.5 interest rate you would get 418.41 so 0.5 is the answer

Answer:

[tex]3(2+7a)=6+[/tex]

[tex]6 + 21a = 6[/tex]

[tex]21a + 6 = 6 + 21a[/tex]

answer is 21a

Answer: a

Step-by-step explanation:

15.00x13.00=195

3x15.00=45.00

15x10.00=150.00

150.00+45.00=195.00