The total cost of a gym membership, C, in Australian dollars (AUD), in John's Gym can be modelled by the function C = 65t+30, where t is the time in months. Calculate the gym membership cost over 12 month duration

Answer:

1

Step-by-step explanation:

Diameter of the circle = 8 cm

Circumference of the circle.

[tex]\boxed{25.12\:cm}[/tex] ✅

We know that,

[tex]\sf\purple{Circumference\:of \:a\: circle \:=\:πd}[/tex]

[tex] = 3.14 \times 8 \: cm \\ = 25.12 \: cm[/tex]

[tex]\sf\red{Therefore,\:the\:circumference \:of\:the\:circle\:is\:25.12\:cm.}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

6) x = 11;  y = 11[tex]\sqrt{2}[/tex]

7) x = 9;  y = 9

Step-by-step explanation:

Answer:

Half of 3 is 1.5(new radius)

1.5^2 = 2.25

2.25 x 3.14 = 7.065

7.065 x 2 = 14.13(area of two circles)

2 x 3.14 x 1.5 = 9.42

9.42(circumference)  x 4(height) = 37.68(area of lateral)

Add the given areas:

37.68 + 14.13 = 51.81 cm2 is your answer.

Answer:

vsbhsgshahhwgwgwgaggsgsgsgsggdhehdhhdhdhshjxjxjxjxjjxjx

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

Explanation:

We won't involve the g(x) function at all.

We're composing the f(x) function with itself, which means we're replacing every x with f(x) and then simplifying.

See the attached image below for the steps.

Answer:

H0: p= 0.39   vs    Ha: p ≠ 0.39

Step-by-step explanation:

She wants to test whether this holds true for teachers in her state.

The test is the formulated into the hypotheses.

The null hypothesis would be

H0: p= 0.39   against the claim    Ha: p ≠ 0.39

The null hypothesis tells that the the proportion of teachers in her state that are members of a union is equal to the proportion of teachers in the US that are members of the labor union.

against the claim

That the the proportion of teachers in her state that are members of a union is  not equal to the proportion of teachers in the US that are members of the labor union.

Answer:

x = 9

Step-by-step explanation:

Of course I'll do very simple explanation!

every time you see a straight line (nondiagonal) it measures 180°.

so if we're trying to solve for x in this case, we'll subtract 180° - 40° = 140°.

Then use the statement to solve for x

[tex]10x+50=140[/tex]

[tex]10x-50[/tex] = - 50    Subtract 50 from both sides

[tex]10x[/tex]         [tex]=[/tex]  90     Divide 10 from both sides

x             =   9      

Answer:

Is the C and F

Step-by-step explanation:

Answer:

3.375 or 3.38 if rounded to the hundredths place.

Step-by-step explanation:

To get the mean of a set of numbers we add all the numbers in the set and then divide the sum by the amount of numbers in the set.

3+7+0+3+4+0+9+1= 27

Amount of numbers: 8

We divide 27 by 8.

27 ÷ 8= 3.375

3.375 is the mean, which we can round to 3.38 or further down to 3.4 for the tenths place and 3 for the ones place.

Answer:

a) 677,040 b) 17,160

Step-by-step explanation:

a) this is a combinations problem as it deals with selection, rather than order. you can use a calculator to solve this:

there are 65 objects (colors) taken 4 at a time

(see photo)

there are 677,040 possible ways to arrange the boxes.

b) unlike question a, this is a permutation. the order matters.

since Ali can only visit the cities once, you must multiply by decreasing values starting from 13 down to 10 (4 "slots" for the 4 days)

13*12*11*10 = 17,160 possiblities

Answer:

using Pythagoras theorem

9² = 7² + a²

81 - 49 = a²

[tex] \sqrt{32} = a[/tex]

5.65 = a

on rounding off it becomes 6 cm

Answer:

9

Step-by-step explanation:

Just count the many units to get to each point.

Answer:

. (Y-4) = -(4)/(3) (x +3)

Step-by-step explanation:

Which equation represents this line in point-slope form?

Answer: B

Step-by-step explanation:

Answer:

see details below

Step-by-step explanation:

First, assume >2 was meant to be &super;. or square.

then the given equations are:

A 3x^2-5=-8

b 2x^2=6x-5

c 12x=9x^2 +4

d -x^2 - 10x =34

In all cases, rearrange equation to identify parameters a, b and c, then calculate determinant using D=b^2-4ac.

A 3x^2x-5=-8

   3x^2-5x+8=0, a=3, b=-5, c=8

   D=b^2-4ac = (-5)^2-4*3*8 = 25 - 96  = -71  < 0   => 2 complex solutions

B 2x^2=6x-5

   2x^2-6x+5, a=2, b=-6, c=5

   D=b^2-4ac = (-6)^2-4*2*5 = 36 - 40 = -4  < 0   => 2 complex solutions

C 12x=9x^2 +4

   9x^2-12x+4, a = 9, b=-12, c=4

   D=b^2-4ac = (12)^2-4*9*4 = 144 - 144 = 0   => 2 real coincident solutions    

D -x^2 - 10x =34

   -x^2-10x-34, a = -1, b=-10, c=-34

    D=b^2-4ac = (-10)^2-4*(-1)*(-34) = 100 - 136 = -36   <0  => 2 complex  solutions    

First year :

9450 + 9450 × ( 6 / 100 ) =

9450 + ( 9450 × 6 / 100 ) =

9450 + ( 56700 / 100 ) =

9450 + 567 =

Rs 10,017

_____________________________

Second year :

10,017 + 10,017 × ( 6 / 100 ) =

10,017 + ( 10,017 × 6 / 100 ) =

10,017 + ( 60,102 / 100 ) =

10,017 + 601.02 =

Rs 10,618.02

______________________________

Third year :

10,618.02 + 10,618.02 × ( 6 / 100 ) =

10,618.02 + ( 10,618.02 × 6 / 100 ) =

10,618.02 + ( 63,708.12 / 100 ) =

10,618.02 + 637.0812 =

Rs 11,255.1012

_______________________________

4th year :

11,255.1012 + 11,255.1012 × ( 6 / 100 ) =

11,255.1012 + ( 11,255.1012 × 6 / 100 ) =

11,255.1012 + ( 67,530.6072 / 100 ) =

11,255.1012 + 675.306072 =

Rs 11,930.407272

_______________________________

5th year :

11,930.407272 + 11,930.407272 × ( 6 / 100 )

=11,930.407272 +( 11,930.407272 × 6 / 100)

= 11,930.407272 + ( 71,582.443632 / 100 )

= 11,930.407272 + 715.82443632

= Rs 12,646.23170832

_______________________________

Thus Mike have to pay approximately Rs 12,646 after 5 years.

A =?

P= 9456

r = 6% = 0.06

t = 5 yrs

Formula

A= P(1+r)^t

A= 9456×1.06⁵

A = 12646.23

the total amount that he had to pay was 12646 rs

Answer:

x = 7

Step-by-step explanation:

Lets do the brackets first,

6 × 2x = 12

6 × -11 = -66

------

Calculate the x constant:

12x - 3x = 9x

-------

Then the ones with no x:

-66 + 15 = -51

51 + 12 = 63

-------

Lastly, divide

63 ÷ 9 = 7

-------

Have a good day :)

Answer:

from what I'm seeing the answer is C

Answer:

51.575

Step-by-step explanation:

[tex]s = \frac{9 + 12 + 17}{2} = 19[/tex]

[tex]area = \sqrt{19(19 - 17)(19 - 9)(19 - 12)} \\ = 51.575[/tex]

Answer:

508.69

Step-by-step explanation:

...

Answer:

q= 1/2 or 0.5 depending

Step-by-step explanation:

Answer:

44/3

Step-by-step explanation:

Reduce 22/2 to 11, 3/9 to 1/3:

11(1/3)(4)

Working from left to right:

11(4)

------ = 44/3

  3

Answer:

Step-by-step explanation:

simplify 22/2 then multiply it by 3/9

then multiply that answer by 4 and your total will be 14.6

Answer:

1st option

Step-by-step explanation:

The length of the arc is calculated as

arc = circumference of circle × fraction of circle

      = 2πr × [tex]\frac{210}{360}[/tex]

      = 2π × 13 × [tex]\frac{21}{36}[/tex]

      = 26π × [tex]\frac{7}{12}[/tex]

      = [tex]\frac{26\pi (7)}{12}[/tex]

      = [tex]\frac{182\pi }{12}[/tex]

      = [tex]\frac{91\pi }{6}[/tex]

r=6cm and h=7cm

Volume of right circular cone =31πr2h

                                                 =31×722×(6)2×7

                                                 =31×22×36

                                                 =264cm3

dunno whether the formula is correct or not!

Answer:

y = -1/2x - 4

Step-by-step explanation:

Answer:

Sorry dud it been long time I've not answered 0ne

Answer:

Heyy

Step-by-step explanation:

Did ya get the answer ???

Answer:

6

Step-by-step explanation: