Find the area of a circle with radius,
r = 5.68m.
Give your answer rounded to 2 DP.

Answer:

8.21 months.

Step-by-step explanation:

The growth rate of hair, R = 15 cm/year

As 1 year = 12 months,

[tex]\Rightarrow R=\frac{15}{12}[/tex] cm/month

As 1 cm ≈ 0.39 in.,

[tex]\Rightarrow R= \frac{15}{12}\times 0.39=0.4875[/tex] inch/month.

As she wants to grow it 4 inches longer than it now, So, the time required for 4 inches growth = 4/0.4875=8.21 months.

Hence, she needs to wait for 8.21 months.

The question is incomplete. Here is the complete question.

The rectangle bleow has an area of [tex]8x^{5}+12x^{3}+20x^{2}[/tex]. The width of the rectangle is equal to the greatest common monomial factor of [tex]8x^{5},12x^{3},20x^{2}[/tex]. What is the length and width of the rectangle?

Answer: width = [tex]4x^{2}[/tex]

              length = [tex]2x^{3}+3x+5[/tex]

Step-by-step explanation: Greatest common factor is the largest number that will divide into that number without rest, i.e., it's a number that will result in an exact division. The same can be applied to a polynomial.

To find the greatest common factor:

1) Write each in prime factored form:

2.2.2.x.x.x.x.x + 2.2.3.x.x.x + 2.2.5.x.x

2) Identify the common factor among the terms:

For this polynomial, the repetitive factor is [tex]4x^{2}[/tex]

Therefore, the width of the rectangle is:

w = [tex]4x^{2}[/tex]

Area of a rectangle is the multiplication of width and length, so:

[tex]A=w*l\\l=\frac{A}{w}[/tex]

To calculate length, we will have to divide polynomials:

[tex]l=\frac{8x^{5}+12x^{3}+20x^{2}}{4x^{2}}[/tex]

[tex]l = 2x^{3}+3x+5[/tex]

Width and length of the rectangle are 4x² and [tex]2x^{3}+3x+5[/tex], respectively.

Answer:

1,2,3 are Natural Numbers

Step-by-step explanation:

May i please get brainiest.

The answer:

Natural Numbers

Answer:

[tex]6n - 6 = 36 \: d. - - - addition \:property \: of \: equality \\

6n = 42 \: e. - - - division \: property \: of \: equality \: \\ [/tex]

Answer:

408.2436

Step-by-step explanation:

Answer:

408.2436 is the answer, you can use calculator too if you want

Question:

Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.

Answer:

[tex]Countries \geq 50 + 5y[/tex]

[tex]y \leq 29[/tex]

Step-by-step explanation:

Given

[tex]Countries = 50[/tex] ------ at least

[tex]Yearly =5[/tex]

Required

Represent as an inequality

"at least" means [tex]\geq[/tex]

So the countries he has visited can be represented as thus;

[tex]Countries \geq 50[/tex]

If

1 year = 5 countries

y years would be 5y countries

So, in y years; he'd have visited

[tex]Countries \geq 50 + 5y[/tex]

To determine the value of y.

We have that

[tex]Countries = 195[/tex] in the world

Substitute 195 for Countries

[tex]195 \geq 50 + 5y[/tex]

Collect Like Terms

[tex]195 - 50 \geq 5y[/tex]

[tex]145 \geq 5y[/tex]

Divide through by 5

[tex]145/5 \geq y[/tex]

[tex]29 \geq y[/tex]

Reorder

[tex]y \leq 29[/tex]

This means that; he'll visit all countries in at most 29 years' time

Answer:

ZB= 39°

Step-by-step explanation:

complementary angles are angles that add up to equal 90

equation:  7x + 23 + 5x + 19 = 90

add like terms: 12x + 42 = 90

subtract 42 from both sides: 12x = 48

divide both sides by 12: x = 4

plug in the value of x to the equation for ZB: 5(4) + 19

simplify: ZB= 39°

Answer:

(0,2)

Step-by-step explanation:

To know get the answer, you would start at the orgin of the paper (0) and up two. Therefore your answer is (0,2).

Answer: (0,-2)

Step-by-step explanation: Wouldnt it be that since its on the negaive side

Answer: B

Step-by-step explanation:

Answer:

It's saitama, I love one punch man so much lol

radius = 12.5/2 = 6.25 feet

area = [tex]\frac{1}{2} \pi r^{2} = \frac{1}{2}\pi (39.0625) = 19.5312\pi[/tex] square feet

Answer:-3x+2y

Step-by-step explanation:

Given:

Jack's plan charges a fee of $24 plus $0.08 per minute he talks.

Jill's plan charges a fee of $10 plus $0.15 per minute she talks.

To find:

The equation which is used to determine when Jack and Jill's plans will be the same.

Solution:

Let t be time in minutes.

Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is

[tex]f(t)=24+0.08t[/tex]

Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is

[tex]g(t)=10+0.15t[/tex]

Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].

[tex]24+0.08t=10+0.15t[/tex]

Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].

This is how it is solved :

13(y+3)=13y+39

Step 1: Simplify both sides of the equation.

13(y+3)=13y+39

(13)(y)+(13)(3)=13y+39(Distribute)

13y+39=13y+39

Step 2: Subtract 13y from both sides.

13y+39−13y=13y+39−13y

39=39

Step 3: Subtract 39 from both sides.

39−39=39−39

0 = 0

Hence we say that 13(y+3)=13y+39 will have infinitely many solutions .

Answer:

0 or No solutions

Step-by-step explanation:

hope this helps!

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Distribution = Normal

Mean(m) = 66

Standard deviation (σ) = 3 inches

A.) If horse is randomly selected from the race, Expected height = mean of the distribution = 66

B.) % horses with height between 60 and 72

Using the relation :

X = 60 ; 72

Z = (x - mean) σ

Z = (60 - 66) / 3

Z = - 6/3

Z = - 2

P(Z < - 2) = 0.0228 (using table)

Z = (72 - 66) / 3

Z = 6/3

Z = 2

P(Z < 2) = 0.9772 (using table)

P(score being between 60 and 72):

0.9772 - 0.0228= 0.9544

C) number of samples = 25

Height less than 63 inches :

Answer:

no

Step-by-step explanation:

its a equation not a decimal making it false.

It is correct

Answer:

the story of my life

Step-by-step explanation:

good luck <3

Answer:

Please don't hold me to this. I think I'm right, but I'm rusty.

Step-by-step explanation:

Constant of proportionality is how much the graph grows for each increasing x value. Slope.

Also remember, rise over run.

Slope: 2nd y- 1st y

           2nd x-1st x

y=mx+b

A) 4.95-3.75      =            1.2                 =            about $0.09 per ounce (x=0.9)

    24-10                          14

For every 14 oz, the cost goes up $1.2.

B) 360-150        =            210               =                  15 calories per ounce (x=15)

     24-10                          14

For every 14 oz, there are 210 calories in the drink.

Answer:

Step-by-step explanation:

3 7/10 *7

37/10 *7

259/10

25.9 or 25 9/10

Answer:

Second from top

  f(x) = 25(5)ˣ

Step-by-step explanation:

Spot check:

x = 2, f(x) = 625

 f(x) = 25(5)ˣ

 f(x) = 25(5)² = 25(25) = 625

x = -1, f(x) = 5

 f(x) = 25(5)ˣ

 f(x) = 25(5)⁻¹ = 25(0.2) = 5

Answer:

53

Step-by-step explanation:

so first of all we would have to plug in what were given and simplify:

[tex]8 - \frac{8}{2} + {7}^{2} \\ 8 - 4 + 49 = 4 + 4 9= 53[/tex]

Answer:

A 1 with a hundred 0's following it

Step-by-step explanation:

Answer:

x intercept: (x,0)

y intercept: (0,y)

2x+0=12/÷2 0+3y=12/÷3

x=6 y=4

[tex] \frac{x}{a} + \frac{y}{b} = 1 \\ [/tex]

[tex] \frac{x}{6} + \frac{y}{4} = 1[/tex]

Answer:

The slope is 1/3

Step-by-step explanation:

2-8/4-22

-6/-18

1/3