Which phrase best describes the scatter plot below

Answer:b

Step-by-step explanation:

If circle has a radius of 9 cm then the area is 4.5 times greater than the circumference, Option C is correct.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The formula for the circumference of a circle is:

C = 2πr

where r is the radius of the circle.

Substituting the value r = 9 cm, we get:

C = 2π(9) = 18π cm

The formula for the area of a circle is:

A = πr²

Substituting the value r = 9 cm, we get:

A = π(9)²= 81π cm²

To find how many times greater the area is than the circumference, we can divide the area by the circumference:

Area/Circumference = (πr²)/(2πr) = r/2

Substituting the value r = 9 cm, we get:

Area/Circumference = 9/2

=4.5

Therefore, the area is 4.5 times greater than the circumference, Option C is correct.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ2

The standard equation for the position s of a body moving with a constant acceleration a along a coordinate line is proved below.

In statistics, the term equation refers the combination of variable and numbers.

Here we have to prove the the standard equation for the position s of a body moving with a constant acceleration a along a coordinate line.

While we looking into the given question, we have given the function

Here we are given that dt²/d²s ​= a (a constant), and when t=0, 

dt/ds ​= v₀ 

and s = s₀​.

And we need to show that s=a/2t²+v₀t+s₀​.

While we differentiate the equation , then we get,

=>  dt²/d²s ​= a 

=> ds/dt = ∫a dt

=> ds/dt = at + c

Since ds / dt = v₀  when t = 0, we have

=> a(0) + C=  C

Again we have to take the differentiation on the term, then we get,

=> s = ∫(at+v0​)dt = a/2t²+v₀t+s₀​.

To know more about equation here.

https://brainly.com/question/10413253

#SPJ4

Answer:

50,000,000

Step-by-step explanation:

10 x 10 x 10 = 1,000

1,000 x 50,000 = 50,000,000

Answer:

\(5 { \times 54}^{2} \)

Answer:

44

Step-by-step explanation:

11/4 gallons = 2.75 gallons there are 16 cups in a gallon that men's there's 32 cups for 2 gallons and 12 cups for .75 gallons 32+12=44 cups

Answer: Cylinders and Cones don't have a vertex or vertices.

Step-by-step explanation: I had the same question and got it right.

Have a good day! <3

The value of x and y are 5 and 3 respectively.

The value of x and y when (x , 2y) = (5, 6) can be found as follows:

Therefore, the x coordinates of the graph is given as 5 while the double of y coordinates is equals to 6. Then, we have to equate the values as follows:

x = 5

2y = 6

The value of x is known by mere equating.

Hence, let's find the value of y.

2y = 6

divide both sides of the equation by 2

2y / 2 = 6 / 2

y = 3

Therefore, the value of y = 3 and x = 5.

learn more on coordinates here: https://brainly.com/question/20594400

#SPJ1

Answer:

  x ≈ 10.6

Step-by-step explanation:

The hypotenuse and the side adjacent to the angle are the ones marked on the diagram. The relation with the angle is ...

  Cos = Adjacent/Hypotenuse

  cos(28°) = x/12 . . . . . . . . . use the given values

  x = 12·cos(28°) ≈ 10.6 . . . multiply by 12

Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

Check the picture below.

Answer:

100 girls

Step-by-step explanation:

The ratio of boys : girls is 2 : 5.

In other words, boys are 2 parts of the school while girls are 5 parts of the school.

Since there are 40 boys, 2 parts of the school is 40. Thus:

\(2p = 40\\p = 20\)

1 part is 20.

Since there are 5 parts girls, there are

\(5p = 5*20 = 100\)

100 girls.

Answer: 100 girls

The total number of students in school is 140 and number of girls at the school is equal to 100.

What do you mean by ratio ?

Ratio is the quantitative relationship between two values indicating how frequently one value contains or is contained within the other.

It is given that the ratio of boys to girls at the school is 2:5.

Let's assume the total number of students in school is x.

We now need to find the number of girls in the school but before that we must try to find the total number of students in the school.

Sum of ratios = 2 + 5 = 7

It is given that there are 40 boys in students.

2/7 of the total number of students are boys.

i.e., the expression can be written as :

2x / 7 = 40

2x = 40 × 7

2x = 280

x = 140

The total number of students in school is 140.

So , the number of girls in school is :

= 140 - 40

= 100

There are 100 girls in the school.

Therefore , the total number of students in school is 140 and number of girls at the school is equal to 100.

Learn more about ratios here :

https://brainly.com/question/26460724

#SPJ2

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

51.6

Step-by-step explanation:

Add them together and divide by 4

Answer: it would be D. 53.6

<3

The value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

what is piecewise function?

A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a specific interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a way to express the function.

We have to evaluate the piecewise function for x = -1 and x = 9.

Let, function has value for x = -1 in the domain x ≤ 5 which is 11.

And function has value for x = 9  in the domain 6 < x which is 1.

⇒  f(-1) = 11 and f(9) = 1

Hence, the value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

To know more about piecewise function, click on the link

https://brainly.com/question/27262465

#SPJ1

Answer:

perimeter=2(L+W)

304=2(81+W)

Step-by-step explanation:

304=162+2W.2W=304-162.2W=142\2=71

Answer:

b 602.88

Step-by-step explanation:

Answer:

10 hours

Step-by-step explanation:

290 divided by 29 = 10

check to see if its correct 29 multiple by 10 is 290

Answer:

I am sure it's 2

Step-by-step explanation:

Source: Trust me bro

Answer:

The answer is 2 because 1 plus 1 is like having 2 things

Answer:

P(x>21) = 0.2691 (Approx)

Step-by-step explanation:

Given:

Average accident = 16 week

Find:

Probability [more than 21 weeks pass]

Computation:

Exponential [λ] = 1/mean

λ = 1/16

P(x>21) = e^{-λx}

P(x>21) = e^{-(1/16)22}

P(x>21) = 0.2691 (Approx)

Answer:

0.55555

Step-by-step explanation:

the 5 keeps repeating

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

Learn more about continuous compounding at https://brainly.com/question/30460031.

#SPJ1

Answer:

The committee can be selected in 1,183,000 ways to contain equal numbers of men and women.

Step-by-step explanation:

The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In how many ways could a 6 person committee be selected to contain equal numbers of men and women.

3 men from a set of 26

3 women from a set of 15. So

\(T = C_{26,3}*C_{15,3} = \frac{26!}{3!23!}*\frac{15!}{3!12!} = 2600*455 = 1183000\)

The committee can be selected in 1,183,000 ways to contain equal numbers of men and women.

Answer:

d. x = 7

Step-by-step explanation:

\(\frac{32}{8} = \frac{28}{x}\)

Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":

8 * 28 = 224

32 * x = 32x

\(32x = 224\)

Divide both sides by 32:

\(\frac{32}{32} = \frac{224}{32}\)

[x = 7]

Answer:

B. and D.

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

correct answer is

\(y=100*(0.91)^x.\)

if to compare the values of the y, (0;100), (1;91), (2;82.81), (3; 75.3571), then

75.3571/82.81=82.81/91=91/100=0.91, it means the next value is decreased at 9%.

let's firstly convert the mixed fraction to improper fraction and proceed from there.

\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)