A state park is designed in a circular pattern as shown in the diagram. Marta rides her bike along the circular path from the ranger station to the pool. How far does she ride? Round your answer to the nearest tenth of a mile. Show your work please

Answer:

[tex]3.5\times10^-^1^2[/tex]

Step-by-step explanation:

[tex](7 \times 10^-5) \times (5 \times 10^-8)[/tex]

Evaluate

[tex](7 \times 5)\times(10^-^5\times10^-^8)[/tex]

[tex]35\times10^-^5^-^8[/tex]

[tex]35\times10^-^1^3[/tex]

[tex]35\times10^1\times10^-^1^3[/tex]

[tex]3.5\times10^1^-^1^3[/tex]

[tex]3.5\times10^-^1^2[/tex]

Thus, the answer is [tex]3.5\times10^-^1^2[/tex]

~Lenvy~

Answer:

63

Step-by-step explanation:

Answer:

10x + 12y -15 =0

Step-by-step explanation

Using compound interest, it is found that you would have $1524.86.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

In this problem, we have that the values of the parameters are given by: P = 1250, r = 0.05, n = 4, t = 4. Hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(4) = 1250\left(1 + \frac{0.05}{4}\right)^{4 \times 4} = 1524.86[/tex]

Tou would have $1524.86.

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Answer:

huh

Step-by-step explanation:

Answer:

the answer is 16

Step-by-step explanation:

look at the photo

Answer:

x>5, so

let x=6

6-3=3

+

6+2=8

-

6-5=1

3+8-1=10

answer=10

Answer:

4

Step-by-step explanation:

Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.

Unit conversion is a way of converting some common units into another without changing their real value. The amount that is paid by the family in mortgage per month is equal to $1200.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given to us that the family uses 12,986.64 Swiss francs per year to pay a mortgage. Therefore, the amount that is paid by the family in mortgage per month can be written as,

[tex]\text{Mortgage for a month} = \dfrac{\text{Mortgage of the family for a complete year}}{\text{Number of Months}}\\\\\\\text{Mortgage for a month} = \dfrac{\rm 12,986.64\ Swiss\ francs}{12} = 1082.22\rm \ Swiss\ francs[/tex]

Thus, the family needs to pay 1082.22 swiss francs every month in the mortgage.

Now, it is mentioned in the problem that 1 Swiss franc = 1.11 US dollars, therefore, 1082.22 swiss francs when converted to US dollars will be equal to,

[tex]\rm 1\ Swiss\ francs = \$1.11 \\\\1082.22\ Swiss\ francs = 1082.22 \times 1.11 = \$1,201.26 \approx \$1,200[/tex]

Hence, the amount that is paid by the family in mortgage per month is equal to $1200.

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Given -

ps - use 3.14 for π

To find -

Solution -

We know to find the circumference of a circle we use the formula C=2πr.

Doing the same,

C = 2 × 3.14 × 2

C = 12.56 feet

[tex]\sf\large\underline{Given:-}[/tex]

[tex]\rightarrow[/tex] Radius(r) of the circle = 2 ft.

[tex]\rightarrow[/tex] Value of Pie(π) = 3.14

[tex]\sf\large\underline{To\: Find:-}[/tex]

[tex]\rightarrow[/tex] Circumference of the circle.

[tex]\sf\large\underline{Formula \: Used:-}[/tex]

[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex]

[tex]\sf\large\underline{Solution:-}[/tex]

[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex](putting the value of π and r from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=2×3.14×2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=12.56\: ft.}[/tex]

Therefore, circumference of the given circle = [tex]\sf{12.56\: ft.}[/tex]

_____________________________

Hope it helps you:)

Answer:

27

Step-by-step explanation:

we know that 4 multiplied with something is 36

=>     4x = 36

=>     x = 36/4

=>     x = 9

so we have to multiply 3 with 9

=>     3*9 = 27

Answer:

  102.8 cm

Step-by-step explanation:

The perimeter of a semicircle is the sum of the length of the diameter and the length of the curved edge. The curved edge is half the circumference of a circle with the same radius.

  perimeter = diameter + curved edge

  = 2r +1/2(2πr) = r(2 +π)

  = (20 cm)(2 +π) ≈ 102.8 cm

The perimeter of the window is about 102.8 cm.

The area of one lateral face of the triangular prism could be 20 ft².

a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first base, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Since the base of the prism is triangular so there will be three lateral faces.

Dimensions of rectangular lateral faces are:

1)8 feet by 2.5 feet

2)8 feet by 6 feet

3) 8 feet by 6. 5 feet

Area of the lateral face with dimension 8 feet by 2.5 feet = 8*2.5 =20 ft²

Area of the lateral face with dimension 8 feet by 6 feet = 8*6 =48 ft²

Area of the lateral face with dimension 8 feet by 6.5 feet = 8*6.5 =51 ft²

Therefore, the area of one lateral face of the triangular prism could be 20 ft².

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[tex]\bold{\huge{\underline{ Solution }}}[/tex]

For completion of table you should know the basics formulas :-

[tex]\sf{=}{\sf{\dfrac{Sum \:of\: class \:interval }{ 2}}}[/tex]

That is,

[tex]\sf{=}{\sf{\dfrac{ = 18 + 25}{2}}}[/tex]

[tex]\sf{=}{\sf{\dfrac{ = 43}{2}}}[/tex]

[tex]\sf{= 21.5 }[/tex]

[ For more calculation ,Please refer the attachment ]

[tex]\sf{ fx = frequency {\times} midpoint }[/tex]

[tex]\sf{ fx = 8 {\times} 21.5 }[/tex]

[tex]\sf{ fx = 172 }[/tex]

[ For more calculation please refer the attachment ]

We have to calculate mean, median and mode of the given data

We know that the,

Mean = Sum of all observation / no. of observation

That is

[tex]\sf{ Mean = }{\sf{\dfrac{ {\sigma}fx}{{\sigma}x}}}[/tex]

Subsitute the required values,

[tex]\sf{ Mean = }{\sf{\dfrac{ 1811 }{ 187.5}}}[/tex]

[tex]\sf{ Mean = 9.65}[/tex]

Hence, The mean of the given data is 9.65

We know that, For odd numbers

[tex]\sf{ Median = l + }{\sf{\dfrac{ (n/2 - c)}{ f}}}{\sf{ h }}[/tex]

Here,

[tex]\sf{ n = }{\sf{\dfrac{ 50 + 1}{ 2}}}[/tex]

[tex]\sf{ n = }{\sf{\dfrac{ 50 }{ 2}}}[/tex]

[tex]\sf{ n = 25 }[/tex]

Subsitute the required values in the above formula :-

[tex]\sf{ Median = 34 + }{\sf{\dfrac{ (25-20)}{ 14}}}{\sf{ 7 }}[/tex]

[tex]\sf{ = 34 + }{\sf{\dfrac{ 5}{ 14}}}{\sf{ {\times}7 }}[/tex]

[tex]\sf{ = 34 + }{\sf{\dfrac{ 35}{ 14}}}[/tex]

[tex]\sf{ = 34 + 2.5}[/tex]

[tex]\sf{ = 36.5 }[/tex]

Hence, The median of the given data is 36.5 .

We know that,

[tex]\sf{ M= l }{\sf{\dfrac{ (f1 - fo)}{ 2f1 - fo - f2 }}}{\sf{ {\times} h }}[/tex]

Subsitute the required values,

[tex]\sf{ M= 34 }{\sf{\dfrac{ (14 - 12)}{ 2(14)- 12 - 12 }}}{\sf{ {\times} 7 }}[/tex]

[tex]\sf{ M= 34{\times}}{\sf{\dfrac{ 2}{ 28 - 24 }}}{\sf{ {\times} 7 }}[/tex]

[tex]\sf{ M= 34{\times}}{\sf{\dfrac{ 2}{ 4 }}}{\sf{ {\times} 7 }}[/tex]

[tex]\sf{ M= 34{\times}}{\sf{\dfrac{ 1}{ 2 }}}{\sf{ {\times} 7 }}[/tex]

[tex]\sf{ M= 34{\times}}{\sf{\dfrac{ 7}{ 2 }}}[/tex]

[tex]\sf{ M= 34 + 3.5 }[/tex]

[tex]\sf{ M= 37.5 }[/tex]

So,

Hence ,The mode of the given data is 37.5 .

Answer:

330 ft^2

Step-by-step explanation:

See attached image

Answer:

Here we will explain how to calculate one half of 80.

One half of 80 is simply one half times 80, which can be written as follows:

One/half x 80

Furthermore, you can convert "one" to "1" and "half" to "2" and then the equation and answer is:

1/2 x 80 = 40.00

Step-by-step explanation:

Hey there!

In order to find 1/5 of 80, we can just multiply 80 times 1/5:

[tex]\bold{\displaystyle\frac{1}{5} *80}[/tex]

80 can be written as follows:

[tex]\bold{\displaystyle\frac{1}{5} *\frac{80}{1}}[/tex]

In order to multiply fractions, just multiply the top of one fraction times the top of the other fraction; same with the bottom (also called the denominator)

[tex]\bold{\displaystyle\frac{80}{5}}[/tex]

Guess what? Now we can use mental maths to solve it :)

Hence, the answer is

[tex]\boxed{\boxed{\bold{16}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

Answer:

9 boxes

Step-by-step explanation:

As the truck is 7.5 ft long, we can fit 3 boxes of paper along the length since 7.5 ÷ 2.5 = 3

As the truck is 4 ft wide, we can only fit 1 box of paper along the width

since 4 ÷ 2.5 = 1.6

As the truck is 8 ft tall, we can fit 3 boxes of paper high

since 8 ÷ 2.5 = 3.2

Therefore, the number of boxes of paper is:

3 × 1 × 3 = 9

Answer:

9 boxes

Step-by-step explanation:

Look above me ;)

Answer:

0.7

Step-by-step explanation:

you have a slope of 6 and it goes through 4,22 so slope = rise over run so you would divide them

Answer:

12.39cm

Step-by-step explanation:

cos 25°=AB/12.5

AB=12.5 cos 25°

cos 25°=0.9912

AB=12.5×0.9912

=12.39cm

Answer:

Step-by-step explanation:

Area = 1/2 b h

= 1/2 * 4 * 5

= 10 unit^2.

Answer:

1. YES

1. YES2. YES

1. YES2. YES3.YES

4.NO

Hope it helps

Answer:

1. -7

2. 1

3. 9

4. 17

Step-by-step explanation:

y = 4x + 1

1. y = 4 (-2) + 1

  y = -8 + 1

   y = -7

2. y = 4(0) + 1

    y = 1

3. y = 4 (2) + 1

   y = 8 + 1

   y = 9

4. y = 4 (4) + 1

   y = 16 + 1

   y = 17

I hope this helps!

Using function rule, we get,

1. -7

2. 1

3. 9

4. 17

**Given Equation:** y = 4x + 1

1. For x = -2:

  - Substitute x = -2 into the equation: y = 4 (-2) + 1

  - Calculate: y = -8 + 1

  - Result: y = -7

2. For x = 0:

  - Substitute x = 0 into the equation: y = 4(0) + 1

  - Calculate: y = 1

  - Result: y = 1

3. For x = 2:

  - Substitute x = 2 into the equation: y = 4 (2) + 1

  - Calculate: y = 8 + 1

  - Result: y = 9

4. For x = 4:

  - Substitute x = 4 into the equation: y = 4 (4) + 1

  - Calculate: y = 16 + 1

  - Result: y = 17

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Answer:

6x² + 4x + 10

Step-by-step explanation:

(2x - 2)(3x + 5)

2x(3x + 5) - 2(3x + 5)

6x² + 10x - 6x + 10

6x² + 4x + 10 ans.

hope this helps you !

Answer:

-4, 10.

Step-by-step explanation:

(x – 3)^2 = 49

x - 3 = ±√49

x = 3 ± 7

= -4, 10.

Answer:

D I think

Step-by-step explanation:

if you do the multiplying you get 6-3x= -4 + (-3x) and then the -3x would cross out leaving 6=-4 which isnt true so D

Answer D

it is 6-3x = -4 -3x then when you add 3 x to both sides so you can move the variables to either side it cancels out on both sides so 6 = -4 meaning there is no solution

By taking the quotient between the volumes, we conclude that he must use the blue cup 16 times or the green cup 4 times.

The volume of the sink is 512π in^3.

The blue cup is a cylinder of diameter = 4 in and a height = 8 in, then its volume is:

V = π*(4in/2)^2*8in = 32π in^3

The number of times that he needs to use this cup is given by:

N = (512π in^3)/(32π in^3) = 512/32 = 16

He needs to use 16 times the blue cup.

The green cup has a diameter = 8in and a height = 8in, then its volume is:

V' =π*(8in/2)^2*8in = 128π in^3

The number of times that he must use this cup is:

N' = (512π in^3/ 128π in^3) = 512/128 = 4

He needs to use 4 times the green cup.

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