A circular garden is enlarged so that the new diameter is twice the old diameter. What is the ratio of the original area to the enlarged area? Express your answer as a common fraction.

I do not understand WHY the answer is 1/4 I do not understand why it is k^2 and all that. HELP I am giving LOTS of points

Answer:

15

what is 1/3 it's 3 right so $45 is going to be divided by 3 so 45÷3 which is equals to 15

Using the z-distribution, as we have the standard deviation for the population, we have that the correct option is:

The p-value is of 0.0772. Fail to reject the null hypothesis that there is no difference in the GPA's.

At the null hypothesis, we test if there is no difference in the means, that is:

[tex]H_0: \mu_T - \mu_H = 0[/tex]

At the alternative hypothesis, we test if there is a difference, that is:

[tex]H_1: \mu_T - \mu_H \neq 0[/tex]

For each sample, we have that:

[tex]\mu_T = 3.22, s_T = \frac{0.002}{\sqrt{50}} = 0.00028284271[/tex]

[tex]\mu_H = 3.24, s_H = \frac{0.08}{\sqrt{50}} = 0.01131370849[/tex]

Hence:

[tex]\overline{x} = \mu_T - \mu_H = 3.22 - 3.24 = -0.02[/tex]

[tex]s = \sqrt{s_T^2 + s_H^2} = \sqrt{0.00028284271^2 + 0.01131370849^2} = 0.0113[/tex]

It is given by:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis, hence:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

[tex]z = \frac{0.02 - 0}{0.0113}[/tex]

[tex]z = -1.77[/tex]

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the mean is different of a value, with z = -1.77, it is found that the p-value is of 0.0772.

Since the p-value is greater than the significance level of 0.05, the correct option is:

The p-value is of 0.0772. Fail to reject the null hypothesis that there is no difference in the GPA's.

More can be learned about the z-distribution at https://brainly.com/question/13873630

Answer:

The P-value is 0.0772. Fail to reject the null hypothesis that there is no difference in the GPAs.

Answer:

The value of the angles are 38° and 52° respectively

Let the acute angles be represented by a and b.

Based in the information given,

a = 2(b - 12)

a = 2b - 24.

Note that the angle in an acute angle equals to 90°.

Therefore,

a = 90 - b.

a = 2b - 24

Equate the equations together

90 - b = 2b - 24

2b + b = 90 + 24

3b = 114

b = 114/3

b = 38

Therefore, a will be:

= 90° - 38° = 52°

The value of the angles are 38° and 52° respectively.

Step-by-step explanation:

Answer:

38 52

Step-by-step explanation:

Answer:

y = -1x+2

Step-by-step explanation:

(1,1)(7,-5)

y2-y1/x2-x1 = slope

-5-1/7-1 = -6/6= -1

y-y1 = slope(x-x1) // equation formula

y-1=-1(x-1)

y = -1x + 1 +1

y = -1x+2

Answer:

y = 6.20 + 12.4(x - pi/4)

Step-by-step explanation:

dy/dx = 2e^x secx + 2e^x secx * tanx= 2e^x secx (1 + tanx)

At x = pi/4, use sec(pi/4) = [tex]\sqrt{2}[/tex]. tan(pi/4) =1

so dy/dx = 2e^(pi/4) * [tex]\sqrt{2}[/tex] * (1 + 1) = [tex]4 \sqrt{2} e^{\pi/4}[/tex] ≈ 12.4 (This is the slope of the tangent line)

When x = pi/4, y =  2e^(pi/4) * [tex]\sqrt{2}[/tex]  = [tex]2 \sqrt{2} e^{\pi/4}[/tex]= 6.20

Then the equation of the tangent line is

y = 6.20 + 12.4(x - pi/4)

Answer:

-27

Step-by-step explanation:

By inspection of the graph

f(-4) = -3

g(-2) = 6

Therefore, 3 · f(-4) - 3 · g(-2)  = (3 x -3) - (3 x 6) = -27

Answer:

D. x = 1.7 or x = 5.7

Step-by-step explanation:

The left side of the equation is graphed in blue. The right side of the equation is graphed in red.

The solution of the equation is the x (and y) that make both equations true.

On the graph these solutions are the points where the two graphs intersect.

Those two points have x values that are positive (and y's that are negative) Only answer D. has x-values that correspond to the x-values of the points of intersection.

Answer:

Step-by-step explanation:

The solution is the x-coordinate of the intersection of the graphs (blue line and red curve).

The points are:

Correct choice is D

Answer:

The answer is 5.80 cm high

Answer:

508

Step-by-step explanation:

23 * 13 = 299

19 * 11 = 209

299+209=508

Answer:

Let the dryer cost x.

Then, the washer costs (x+87)

Together, they cost (x) + (x+87) = 787

2x+87 = 787

2x = 700 [subtract 97 from both sides]

x = 350 [divide both sides by 2]

The dryer cost $350.

Check: The washer cost $437. Together, they cost $787 [good to check, right?]

Step-by-step explanation:

hope it's help!!!

Answer:

13, 17, 19

Step-by-step explanation:

Go through (12-20) and find the multipliers for each number.

13 = 13 x 1

14 = 7 x 2 , 14 x1 = no

15 = 5 x 3, 15 x 1 = no

17 = 17 x 1

18 = 6 x 3, 9 x 2, 18 x 1 = no

19 = 19 x 1

Answer:

8 cm

Step-by-step explanation:

V = 1/3 (Base Area) × h

216cm³ = 1/3(81cm²) × h

216cm³ = 27cm² × h

÷ 27cm   ÷ 27cm

8 cm = h

I hope this helps!

Answer:

20/4

Step-by-step explanation:

5 = x/4

mulitply both sides by 4

x = 20

so the fraction is 20/4

Answer:

area of ΔABC = 48 cm²

Step-by-step explanation:

We have been provided with height of 6 cm and have to find base.

using Pythagoras theorem:

a² + b² = c²

a² + 6² = 10²

a² = 100 -36

a² = 64

a = √64

a = 8

Area of both triangles:

[tex]\frac{1}{2}[/tex] * base * height

[tex]\frac{1}{2}[/tex] * 8 * 6

24 cm²

area of both triangles: 24 cm² * 2 = 48 cm²

Apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow AN^2=10^2-6^2[/tex]

[tex]\\ \tt\hookrightarrow AN^2=8^2[/tex]

[tex]\\ \tt\hookrightarrow AN=8cm[/tex]

Area

[tex]\\ \tt\hookrightarrow \dfrac{1}{2}bh[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{1}{2}(16)(10)=8(10)=80cm^2[/tex]

Required area:-80/2=40cm^2

The probability that it takes Hugo less than 5 minutes is 25%.

Given that the amount of time it takes Hugo to solve a Rubik's cube is continuous and uniformly distributed between 4 minutes and 11 minutes, to determine what is the probability that it takes Hugo less than 5 minutes given that it takes less than 6 minutes for him to solve a Rubik's cube, the following calculation must be performed:

Therefore, the probability that it takes Hugo less than 5 minutes is 25%.

Learn more about probability in https://brainly.com/question/795909

Answer:

180m-40

Step-by-step explanation:

60m- 60 + 120 +20

=180m-40

180m-40

Step-by-step explanation:

if right please brainliest

Answer:

X = 1.378797

Step-by-step explanation:

However, the following root(s) were found by numerical methods.

X = 1.378797

Answer:

Step-by-step explanation:

B. maybe i think that but sorry I'm just using mental math

Answer: 9 tickets

Step-by-step explanation: you have to subtract the $8.75 from lunch and then divide it by $1.25 to see the maximum quantity of tickets he can purchase with his remaining money

Answer

0.89347

.................

Answer :

388 Pages Left

Explanation : 627 - 239  

◊ YusuCr ◊

The value of sin2 Θ is in the 4th quadrant is -24/25

Explanation:

Given the expression of cosΘ= 3/5 with Θ in quadrant 4;

According to SOH, CAH TOA;

cosΘ= adjacent/hypotenuse

Get the opposite

5² = opp² + 3²

opp²  = 25 - 9

opp² = 16

opp = 4

SinΘ = opp/hyp

SinΘ = 4/5

Sin2Θ = 2sinΘ cosΘ

Sin2Θ = 2(-4/5)(3/5)

Sin2Θ = -24/25

Hence the value of sin2Θ is in the 4th quadrant is -24/25

Answer:

-3<x<-2

Step-by-step explanation:

In the graph you can see that from x=-3 to x=-2, the graph is below the x axis, meaning that it is below zero. none of the other options are below zero at their respective ranges, so that's your answer

Answer:

y = 3x - 4

Step-by-step explanation:

a line parallel to another will have the same slope, just a different y-intercept or b-value. Using this, we suggest the equation of the question [tex]y = 3x + b\\[/tex], as we can solve for b. The point (4,8) was given, which means that an input of 4 as x returns 8 as y. Thus, [tex]8 = 3(4) + b[/tex]. Solving this gains b = -4

Answer:

base = [tex]x^4 - 3x^3+11x-4[/tex]

Step-by-step explanation:

An isosceles triangle has 2 sides of equal length (a) and base (b)

⇒ perimeter of an isosceles = 2a + b

Given:

[tex]\implies \textsf{perimeter}=2a+b[/tex]

[tex]\implies 7x^4 - 3x^3-x-6=2(3x^4 - 6x-1)+b[/tex]

[tex]\implies 7x^4 - 3x^3-x-6=6x^4 - 12x-2+b[/tex]

[tex]\implies x^4 - 3x^3+11x-4=b[/tex]

Therefore, base = [tex]x^4 - 3x^3+11x-4[/tex]

Answer:

Perimeter=sum of sides

[tex]\\ \tt\longmapsto 3x^4-6x-1+3x^4-6x-1+y=7x^4-3x^3-x-6[/tex]

[tex]\\ \tt\longmapsto 6x^4-12x-2+y=7x^4-3x^3-x-6[/tex]

[tex]\\ \tt\longmapsto y=x^4-3x^3+11x-4[/tex]

Answer:

because the force of attraction is greater than one