Between the first and second year of existence of a community service organization, the membership of the organization grew by 15%. Between its second and third years of existence, the community service organization's membership decreased by 10%Which of the following statements best describes the overall change in membership of the community service organization over the first three years of the organization's existence?

Answer:  You can rely solely upon induction to prove that your conclusion is correct is a FALSE STATEMENT. Inductive reasoning is the logical method that is used to yield a probable conclusion with the help of a specific instances

Step-by-step explanation: i hope its correct :>>

Answer:

147 cubic inches

Step-by-step explanation:

volume of the prism is length x breadth x height

3.5 x 7 x 6=147

Answer:

Step-by-step explanation:

Given ,

Sum of 3 times m = 3m

And 4 times m = 4m

Hence,

Sum is = 3m + 4m = 7m (Ans)

Answer:

$1.918

Step-by-step explanation:

The volume of a right circular cone is obtained using the formular :

V = 1/3πr²h

From the question:

Diameter = 9 inches ; height = 10 inches

Radius = diameter /2 = 9/2 = 4.5 inches

V = 1/3*π*4.5²*10

V = 211.95 in³

Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³

Density of popcorn = 34 ounces / ft³

Density of popcorn CONTAINER = x

1 ft³ = 34 ounce

0.12265625 ft³ = x

Cross multiply

x = 34 * 0.12265625 ft³

x = 4.1703125 ounce

Hence, popcorn continer has a density of 4.1703125 ounce

If price per container = $8

The price per ounce = $8 / 4.1703125

= $1.918

Hence, price per ounce is $1.918

9514 1404 393

Answer:

  center: (1/2, 6)

  radius: √5

Step-by-step explanation:

The standard form equation for a circle of radius r and center (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

When we compare this to the given equation:

  (x -1/2)^2 +(y -6)^2 = 5

we see that h=1/2, k=6, and r^2=5.

The center is (h, k) = (1/2, 6); the radius is √5.

Answer:

A: the function is 537(0.3x)

B: so we just plug in the numbers where x is that amount of years so

52 years from 1970 so 2022

537(1.56)

x=837.72

so the answer is 838

Hope This Helps!!!

Answer:  0.85 km

Step-by-step explanation:

Since, Grace ran 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. And we need to know what her total of kilometer are in all. All is a clue word that tells us to add.

Add.

0.6+0.25= 0.85 km

Answer:

24 steps

Step-by-step explanation:

Given

[tex]Step\ 1 = 4[/tex]

[tex]Step\ 2 = 3[/tex]

[tex]Step\ 3 = 2[/tex]

Required

The total number of experimental outcomes (n)

This calculated by multiplying the results in each step.

[tex]n = Step\ 1 * Step\ 2 * Step\ 3[/tex]

[tex]n = 4*3*2[/tex]

[tex]n = 24[/tex]

Answer:

4-2 = 2

2x5+9 = 19

2^19 = 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 524288

Answer:

29

Step-by-step explanation:

Use PEMDAS

P- Parenthesis

E- Exponents

M- Multiply

D- Divide

A- Add

S- Subtract

(4-2)^2×5+9 first you do parenthesis which is (4-2)=2

(2)^2×5+9 next the exponents (2)^2=4

4×5+9 now the multiplication, 4×5=20

20+9 And now finish it off with the addition

So the answer ends up being 29.

Answer:

Step-by-step explanation:

take 66 degree as reference angle

using sin rule

sin 66=opposite/hypotenuse

0.91=x/16

0.91*16=x

14.56=x

14.6=x (after converting it to nearst tenth)

Answer:

1.2km is 400% of 300m

Step-by-step explanation:

1 km=1000m

So,1.2 km=1000*1.2=1200m

Let 1.2km(or 1200m) be x% of 300 m

By the problem,

300*x/100 = 1200

Or, 3x=1200

Or,x=1200/3=400

1.2km is 400% of 300m

Answer:

16.

Step-by-step explanation:

The highest common factor between the two is 16.

Answer:

GCF(14608,720) = 2⁴

Step-by-step explanation:

Factor both numbers:

14608 = 2⁴ * 11 * 83

720 = 2⁴ * 3² * 5

Therefore the greatest common factor is 2⁴

Answer:

280

Step-by-step explanation:

p stands for cans of pop. if each can of pop is 35, then you need to multiply 8 by 35

Answer:

13

Step-by-step explanation:

18-5=13

Answer:66.9 meters

Step-by-step explanation:

tan 18/1=x/201\

20tan18=x

201 tan 18=x

x=65.308858...

65.308858...+1.63=   66.938858...

≈  66.9 meters tall

The height of the skyscrapers is 66.9 meters.

Given

From her eye, which stands 1.63 meters above the ground, Samantha measures the angle of elevation to the top of a prominent skyscraper to be 18°.

If she is standing at a horizontal distance of 201 meters from the base of the skyscraper,

The angle of elevation of the sun is the angle formed between the horizontal line and your line of sight when you look at the sun.

Then,

The height of the skyscrapers is given by;

[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}[/tex]

Substitute the values in the formula

[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\\rm Tan18=\dfrac{x}{201}\\\\x = tan18\times 201\\\\x=65.30[/tex]

Therefore,

The height of the skyscraper is;

= 65.30 + 1.63 =  66.9

Hence, the height of the skyscrapers is 66.9 meters.

To know more about the angle of elevation click the link given below.

brainly.com/question/12992313

Answer:

30 years

Step-by-step explanation:

Given data

P=$17,000

A= $41,000

R=2.95%

the expressio for the time is

t= ln(A/P)/r

t= ln(41,000 /17000)/0.0295

t= ln(2.41176)/0.0295

t= 0.8803/0.0295

t= 29.8

about 30 years

Answer:

60 cubic inches

Step-by-step explanation:

if its a triangle you have to divide it by 2 because its half of a square so its half of an answer so in this case you multiply 10 and 12 which gets you 120 divide that by 2 you get 60 and that's your answer.

Answer:                                                                                                                                                      

2                                                                                                                                                       Step-by-step explanation:

in the places there is X you put -3 , -3 squared minus 7 is equal to 9 , 9-7 is equal to 2

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

[tex] \large{ \tt{⋆ \: f( - 3) = {( - 3)}^{2} - 7}}[/tex]

[tex] \large{ \tt{↦ \: f( - 3) = ( - 3) \times ( - 3) - 7}}[/tex]

[tex] \large{ \tt{↦f( - 3) = 9 - 7}}[/tex]

[tex]↦ \large{ \tt{f( - 3) = \boxed{ \tt{2}}}}[/tex]

[tex] \tt{✺ \: COMFORT \: IS \: THE \: ENEMY \: OF \: ACHIEVEMENT\: ♪}[/tex]

♡ Hope I helped! ♕

☃Have a wonderful day / evening ! ☼

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer: Lemniscate

Step-by-step explanation:

The name of the shape depicted in the graph is Lemniscate option (B) is correct.

It is defined as a two-dimensional shape that has a two-closed curve that meets at the center. The shape exactly looks like a mathematical symbol infinity ∞

The lemniscate is a Greek word that means a ribbon because the shape looks like a ribbon.

The algebraic equation for the lemniscate is given by:

[tex]\rm \left(x^{2}+y^{2}\right)^{2}=a \left(x^{2}-y^{2}\right)[/tex]

Where a is the constant.

If we put x = 0 and a = 1 we get y = 0

If we put x = 1 and a = 1 we get y = 0

If we put x = -1 and a = 1 we get y = 0

And so on we will get a curved shape shown in the picture.

Thus, the name of the shape depicted in the graph is Lemniscate option (B) is correct.

Learn more about the lemniscate here:

https://brainly.com/question/12478682

Answer:

0.8586 = 85.86% probability that she does not have all the red ones.

Step-by-step explanation:

The marbles are grabbed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this question:

Bag has 4 + 4 + 3 + 1 = 12 marbles, which means that [tex]N = 12[/tex]

She grabs eight of them, which means that [tex]n = 8[/tex]

Four are red, which means that [tex]k = 4[/tex]

Probability that she does not have all the red ones.

This is

[tex]P(X < 4) = 1 - P(X = 4)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,12,8,4) = \frac{C_{4,4}*C_{8,0}}{C_{12,8}} = 0.1414[/tex]

Then

[tex]P(X < 4) = 1 - P(X = 4) = 1 - 0.1414 = 0.8586[/tex]

0.8586 = 85.86% probability that she does not have all the red ones.

Answer:

4

Step-by-step explanation:

- the rule is: (number_of_questions)*(points_per_question)=total_score.

- according to the rule above: 26*(points_per_question)=104, then

points_per_question=104/24=4.

Answer:

Adam smith

he is known as father of economics.

hope it helps

Answer:

Adam Smith

Step-by-step explanation:

Use the following formula:

[tex]A=2\pi rh+2\pi r^{2}[/tex]

Take the value of [tex]\pi[/tex] as 3.14 and add the values in the formula:

[tex]A=2(3.14)(2)(6)+2(3.14)(2)^{2}[/tex]

[tex]A=75.36+25.12[/tex]

[tex]A=100.48[/tex]

I hope this helped :)

Answer:

[tex]v=1/3\pi r^2h[/tex]

[tex]v=1/3(3.14(7)^2(7)[/tex]

[tex]v=359.01 ~units^3[/tex]

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

hope it helps...

have a great day!!

Answer:

33

Step-by-step explanation:

264/8= 33

Answer:

30° and 150°

Step-by-step explanation:

We want to find the angles in the range:

0° < θ < 360°

Such that:

4*cos^2(θ) - 2 = 1

The first part is to isolate the variable θ in one side of the equation, let's do that:

4*cos^2(θ) = 1 + 2 = 3

cos^2(θ) = 3/4

cos(θ) = ± √(3/4) = ± (√3)/2

Then we have two possible values of θ, one for:

cos(θ) =  (√3)/2

And another for

cos(θ) = - (√3)/2

For both cases, we can use the inverse cosine function, Acos(x)

that has the property Acos( cos(x) ) = x

Then:

cos(θ) =  (√3)/2

Acos( cos(θ) ) = Acos(  (√3)/2)

θ = Acos(  (√3)/2) = 30°

And for the other case we have:

θ = Acos( - (√3)/2) = 150°

Then the two values of theta are: 30° and 150°

(We can see that both of these values are in the range 0° < θ < 360°)

Answer:

d

Step-by-step explanation: