What is f(5) if f(1) = 3. 2 and f(x 1) = Five-halves(f(x))?

Answer:

A. 68 feet ( the length of the outer curve to the nearest foot

Option C is correct, the the length of the outer curve to the nearest foot is 86 feet.

The formula for length of arc to find the length of the outer curve.

Thus; Arc Length = radius ×angle

We are given;

Radius = 70 ft

Angle = 70° = 70 × π/180 radians

Thus;

Arc length = 70 × (70 × π/180)

Arc length = 86 ft

Therefore, the outer curve is 86 feet long. Option C is correct.

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Answer:

33. 3

34. 1/3

Step-by-step explanation:

The exponent 2 stands for a number times itself

9 = 3x3

1/9 = 1/3 x 1/3

Hope this helps :)

Have a nice day!

Answer:

33. 3

34. [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

3 squared is 9

1 squared is 1

root 9 is 3

root 1 is 1

3²=9

1²=1

[tex]\sqrt{9} =3\\\sqrt{1} =1[/tex]

Answer:

They watch anime in their room for 5 hours then come back later. Frank is a dad. The "people" is his daughter. IM KIDDING, but more info please i dont really understand

Step-by-step explanation:

because is true (ITS NOT)

In addition to the fact that she has never kept a diary before, Anne Frank finds it strange that someone like her would do so. She also believes that neither she nor anybody else would find interest in a diary kept by a thirteen-year-old schoolgirl.

The residents are given five minutes to gather their belongings when the military break down the annex door. Nothing else may be taken by them. The scene comes to a close as Anne's voice commands Miep to keep her diary secure.

Frank discussed how people saw her in her final journal post, calling herself "a tangle of paradoxes." "As I've told you many times, I'm torn in two," she wrote. One half of myself is full of excitement, exuberance, flippancy, and, most importantly, the capacity to see the lighter side of things.

Thus, Anne Frank finds it strange that someone like her would do so.

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Answer:

a. 95

b. 86

Step-by-step explanation:

Since you need it quick, no explanation for now.

Answer:

Length of the garden: 95 m

Width of the window: 86 cm

Step-by-step explanation:

Part A:

We can use the equation for area to find the length of the garden.

[tex]Area = Width * Length[/tex]

If we simply divide both sides of the equation by width, we will be solving for lenght:

[tex]\frac{Area}{Width} = Length[/tex]

Now, plug in the known values for the area and width of the garden:

[tex]\frac{6460}{68}=Length[/tex]

[tex]95=Length[/tex]

Part B:

This time, we'll have to use the equation for perimeter:

[tex]Perimeter = [2(Width)]+[2(Length)][/tex]

Because we want to know the width, and already know the perimeter and length we can once again use algebra to solve for the width:

[tex]Perimeter-[2(Length)] = 2(Width)\\\frac{Perimeter-[2(Length)]}{2} =Width[/tex]

Now, simply plug in the values for the perimeter and the length and solve:

[tex]\frac{370-[2(99)]}{2} =Width\\\\\frac{370-198}{2} =Width\\\\\frac{172}{2}=Width\\\\86=Width[/tex]

Therefore, the width of the window is 86 cm.

Answer:

$6.83

Step-by-step explanation:

37 x 59 = 2183

Because it is dollars you need to divide it by 100:

$21.83 - 15 = 6.83

The number of watts which is the power of the turbine for each case is respectively; 600 W; 506.25 W; 300 W

We are given;

Density of air; ρ = 1.2 kg/m³

Area; A = r² with r being the blade length

Formula for power in turbine is;

P = ¹/₂ρAv³

1) v = 10 m/s and r = 1 m.

Thus;

P = ¹/₂ * 1.2 * 1² * 10³

P = 600 W

2) v = 15 m/s and r = 0.5 m.

Thus;

Power = ¹/₂ * 1.2 * 0.5² * 15³

P = 506.25 W

3) v = 20 m/s and r = 0.25 m.

Thus;

Power = ¹/₂ * 1.2 * 0.25² * 20³

P = 300 W

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Answer:

5.138

2.624+= 7.762 is the answer

6 2

Answer:

ok

Step-by-step explanation:

you need to use the solve for x method

Answer:

30 percent

Step-by-step explanation:

7/10 is 70%

100%-70%=30%

Answer:

the answer is 30%

Step-by-step explanation:

I got the answer correct on the test

Answer:

8 1/2 divided by 2 1/4 = 3 7/9 inches

Answer:

28

Step-by-step explanation:

2.0 (2(5)+3+1)

2.0 (10 +3 +1)

2.0 (14)

28

Answer:

H

Step-by-step explanation:

So when finding the area you need to square the radius. In the problem she only multiplied it by two. so she needs to do 49×3.14.

Hope this helps!

Answer:

Step-by-step explanation:

if it is linear ,then

[tex]slope=\frac{1-0}{\frac{\pi }{8}-0 } =\frac{8}{\pi } \\eq.~of~line~is\\y-0=\frac{8}{\pi } (x-0)\\y=\frac{8}{\pi } x[/tex]

The vertices of the square are the coordinates of the endpoints

The third vertex of the square could be (0,7) or (-5,1)

Two vertices of the square are:

(0,-3) and (4,2)

Calculate the distance between these vertices using:

[tex]d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}[/tex]

Square both sides

[tex]d^2 = (x_2 - x_1)^2+(y_2 - y_1)^2[/tex]

The above expression represents the area of the square.

So, we have:

[tex](x_2 - x_1)^2+(y_2 - y_1)^2 = 41[/tex]

Next, we test the options with the given vertices (0,-3) and (4,2)

So, we have:

A. (0,7)

[tex](0 - 0)^2+(7 + 3)^2 = 41[/tex]

[tex]100 \ne 41[/tex]

[tex](0 - 4)^2+(7 - 2)^2 = 41[/tex]

[tex]41 = 41[/tex]

B. (-5,1)

[tex](-5 - 0)^2+(1 + 3)^2 = 41[/tex]

[tex]41 = 41[/tex]

[tex](-5 - 4)^2+(1 -2)^2 = 41[/tex]

[tex]82 \ne 41[/tex]

C.(5,13)

[tex](5 - 0)^2+(13 + 3)^2 = 41[/tex]

[tex]281 \ne 41[/tex]

[tex](5 - 4)^2+(13 -2)^2 = 41[/tex]

[tex]122 \ne 41[/tex]

D.(-2,-2)

[tex](-2 - 0)^2+(-2 + 3)^2 = 41[/tex]

[tex]5 \ne 41[/tex]

[tex](-2 - 4)^2+(-2 -2)^2 = 41[/tex]

[tex]52 \ne 41[/tex]

E.(4,-6)

[tex](4 - 0)^2+(-6 + 3)^2 = 41[/tex]

[tex]25 \ne 41[/tex]

[tex](4 - 4)^2+(-6 -2)^2 = 41[/tex]

[tex]64 \ne 41[/tex]

The vertices where at least one of the equations is true could be a third vertex of the square

Hence, a third vertex of the square could be (0,7) or (-5,1)

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Answer:

O [tex]\sf y = 20000(1 - 08) ^5[/tex]

O $13181.63

explanation:

[tex]\sf compound \ interest = P(1 + \dfrac{r}{100})^{n}[/tex]

insert the following given values

[tex]\sf \hookrightarrow 20000(1 - \frac{8}{100} )^5[/tex]

[tex]\sf \hookrightarrow 20000(1 - 0.08)^5[/tex]

[tex]\sf \hookrightarrow 13181.63[/tex]

Using the probability concept, it is found that they are given by:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Without replacement, there are 4 out of 20, and then 3 out of 19 cards with a 1, hence:

[tex]p = \frac{4}{20} \times \frac{3}{19} = 0.0316[/tex]

0.0316 = 3.16% probability that both cards selected have a 1 without replacement.

With replacement, in each trial, 4 out of 20, hence:

[tex]p = \frac{4}{20} \times \frac{4}{20} = 0.04[/tex]

0.04 = 4% probability that both cards selected have a 1 with replacement.

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Answer:

10.666_ repeating

Step-by-step explanation:

needs to be 20 letters long

Answer:

x+5y+5=0

Step-by-step explanation:

y=5x+6

Therefore the gradient of the line = 5

Now reciprocate the gradient and negate it

i.e -1/5

let (x,y) and (-15,2) be points on the line

y-2/x-(-15)=-⅕

5y-10=-x-15

5y-10+15+x=0

x+5y+5=0

Therefore the equation of the line =

x+5y+5=0

Answer: 9

Step-by-step explanation: 105/12=8.75

8 batches are not enough so she should do it one more time to finish

Answer:

x= -49.5

y= -13.5

Step-by-step explanation:

-x-y= -63

-x+y=-36

y=-13.5

x=-49.5

hope this helps!

Answer:

Step-by-step explanation:

(a -b)² = a² - 2ab + b²

Here, a = 6x & b = 5

Area of a square = side * side

                            = (6x - 5)*(6x - 5)

                            = (6x - 5)²

                            = (6x)² - 2*6x*5 + 5²

                             = 36x² - 60x + 25

Answer:

30 degrees

Step-by-step explanation:

x + 2x + 3x = 180

6x = 180

x = 30 degrees

Answer:He babysat for 2 hours on Saturday

Step-by-step explanation: First he babysat for 10 hours on Sunday and got $6 per hour, times 6 by 10. Now you know he got $60 on Sunday, the total amount of money he got was $72 so add $12 with how much he got on sunday to get the total. Divide 12 with 6 and you get 2 because thats how many hours he did

Answer:

Step-by-step explanation:

When solving a system of equations using substitution, you look for an equation that makes it simple to write an expression for one of the variables in terms of the other(s). Here, the first equation already gives you an expression for x, so it is easiest to substitute for x in the second equation:

  (2y -5) +2y = 4 . . . . . . (2y-5) substituted for x

  4y = 9 . . . . . . . . . . add 5 and simplify

  y = 9/4 . . . . . . . . divide by 4

  x = 2(9/4) -5 = 9/2 -10/2 = -1/2

The solution is (x, y) = (-1/2, 9/4).

Answer:

4

Step-by-step explanation:

4    0

             12 - 0 = 12

3    3

             12 - 0 = 12             12 + 12 - 16 = 8     8/2 = 4

0    4

              0 - 16 = -16

4    0