4 Please help. If the central angle measures 123∘, and the radius of the roundabout is 50 meters, how many meters must Jamie sprint to reach Shelly?

Use π≈3.14 and round your answer to the nearest meter.

Enter your answer as a number, like this: 42

Answer:

B I think

Step-by-step explanation:

Answer:

15ft

Step-by-step explanation:

a^2 + b^2 = c^2

12 or 9 can equal to b or a

12^2 + 9^2 = c^2

144 + 81 = c ^2

225 = c^2

Square root of 225

15 = c

Answer:

15

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81+144 = c^2

225 = c^2

15 = c

Answer:

46

i just got it right

We have been given that the graph of [tex]F(x)[/tex] has the same shape as the graph of [tex]G(x)=x^2[/tex], but it is flipped over the x-axis and shifted down 1 unit. We are asked to find the equation of [tex]F(x)[/tex].

We will use transformation rules to solve our given problem.

The rule of reflection of a graph about x-axis is [tex]f(x)\Rightarrow -f(x)[/tex].

Let us find [tex]-G(x)[/tex] as:

[tex]-G(x)=-(x^2)=-x^2[/tex]

Now we will shift our graph 1 unit down.

[tex]f(x)-a\Rightarrow\text{Graph shifted downwards by a units}[/tex], where a is a positive number.

This is same as subtracting 1 from [tex]-x^2[/tex] as:

[tex]F(x)=-x^2-1[/tex]

Therefore, our required function would be [tex]F(x)=-x^2-1[/tex].

Answer:

3.5

Step-by-step explanation:

26, 31, 32, and 39

First we need to find the mean

(26+ 31+ 32+ 39) /4

128/4 = 32

The mean absolute deviation is sum of   the positive difference between the number and the mean  divided by the number of terms

((32-26)+ (32-31)+ (32-32)+ (39-32)) /4

14/4

3.5

Answer:

g = -13

Step-by-step explanation:

5(g-2)+g=6(g-4)

5g - 10 + g = 6g - 24

5g + g - 6g = -24 + 10

6g - 6g = -13

g = -13

Answer:

For the expression they are adding by 4.

Step-by-step explanation:

2+4=6, 6+4=10, 10+4=14, 14+4=18, 18+4=22, and it goes on and on.

Answer:

By using the Pythagorean Theorem, we know that the length of the slide is 17 ft.

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this equation.

[tex]a^2+b^2=c^2[/tex]

a = 8

b = 15

Now, let's plug in these numbers so we can know the length of the slide.

[tex]8^2+15^2=c^2\\64+225=c^2\\289=c^2\\\sqrt{289}=\sqrt{c^2}\\17=c[/tex]

So, the length of the slide is 17 ft which is answer choice C.

Answer:

a^2 + b^2 = c^2

8^2 + 15^2 = c^2

64 + 225 = c^2

289 = c^2

[tex]\sqrt{289}[/tex] = c

17

Answer:    40 45 50 55 60 65 70 75 80 40 45 50 55 60 65 70 75 80 H J G 40 45 50 55 60 65 70

Step-by-step explanation: Keeps repeating

Answer:

Please see attached image of a box plot.

Answer:

Option (A) 3.97.

Step-by-step explanation:

Price for one gallon of gas in gas station 1 = $3.72 (Yesterday)

Price for one gallon of gas in gas station 2 = $3.87 (Yesterday)

Price for one gallon of gas in gas station 3 = $3.78 (Yesterday)

Price for one gallon of gas in gas station 4 = $4.09 (Yesterday)

Price for one gallon of gas in gas station 5 = $3.989 (Yesterday)

Prise raised by each gas station Today = $0.08

Price for one gallon of gas in gas station 1 = $3.72 + $0.08

                                                                      =  $3.80 (Today)

Price for one gallon of gas in gas station 2 = $3.87 + $0.08

                                                                       =  $3.95 (Today)

Price for one gallon of gas in gas station 3 = $3.78 + $0.08

                                                                       =  $3.86 (Today)

Price for one gallon of gas in gas station 4 = $4.09 + $0.08

                                                                       =  $4.17 (Today)

Price for one gallon of gas in gas station 5 = $3.989 + $0.08

                                                                       =  $4.069 (Today)

Mean = Sum of the Terms Number of Terms / Total Number of Terms

          = $3.80 + $3.95 + $3.86 + $4.17 + $4.069 / 5

          = 19.849 / 5

          = 3.9694

          = 3.97 (Approximately)

As we can see that the Option (A) 3.97 correctly matches the answer.

So the correct answer is Option (A) 3.97.

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Mark BRAINLIEST

Answer:

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

Step-by-step explanation:

Step(i):-

Given mean of the Population = 115

Given standard deviation of the Population = 23

Let 'x' be the random variable of normal distribution

Let x = 162

[tex]Z = \frac{x-mean}{S.D} = \frac{162-115}{23}[/tex]

z = 2.043

Step(ii):-

The probability that a value in the data set is greater than or equal to 162

P(X>x) = P(Z>z) = P(Z> 2.043)

P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)

                                      =  1- ( 0.5 +A(2.043)

                                      =   1-0.5 -A(2.043)

                                      =    0.5 - 0.4793

                                      =  0.0207

Final answer:-

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

Answer:

The area of the shaded region is [tex]18\ \text{units}^2[/tex].

Step-by-step explanation:

On the attached figure, a rectangle is shown. It is required to find the area of the shaded part. The shaded part forms a triangle. The area of a triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

b is base and h is height

From this figure, each box is a square of side 1 unit say.

Its height will be 4 units and its base is 9 units

So,

[tex]A=\dfrac{1}{2}\times 9\times 4\\\\A=18\ \text{units}^2[/tex]

So, the area of the shaded region is [tex]18\ \text{units}^2[/tex].

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

A quadratic function is represented as:

[tex]y = a(x - h)^2 + k[/tex]

The vertex of the quadratic function is given as:

[tex](h,k) = (0,6)[/tex]

So, we have:

[tex]y = a(x - 0)^2 + 6[/tex]

This gives:

[tex]y = ax^2 + 6[/tex]

The quadratic function passes through (-1,-2).

So, we have:

[tex]-2 = a(-1)^2 + 6[/tex]

[tex]-2 = a + 6[/tex]

Subtract 6 from both sides

[tex]a = -8[/tex]

Substitute -8 for a in [tex]y = ax^2 + 6[/tex]

[tex]y = -8x^2 + 6[/tex]

Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

Read more about quadratic functions at:

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Answer:

.76

Step-by-step explanation:

Answer:

The answer is B "No, in step 1 she multiplied the right side of the second equation by -4 instead of by 4"

Step-by-step explanation:

Answer:

A) Yes, Sara found the correct solution.

B) No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4.

C)No, in step 4, she substituted the value of y back into the wrong equation to solve for x.

D)No, in step 6, she switched the order of the solution. It should be (5, –6).

Answer = B) No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4.

Step-by-step explanation:

I just did the assignment.

Answer:

it is 200-299

Step-by-step explanation:

i think that because it shows it and it is easy i mean if u look at it it shows the answer

Answer:

False

Step-by-step explanation:

In order for the dilated image to become larger, it has to have a scale factor that is more than one not less than one.

False, Because If the scale factor is greater than 1, the image is larger than the preimage.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

If the scale factor is between 0 and 1, the image is smaller than the preimage. Dilations with a scale factor between 0 and 1 are called reductions.

And, If the scale factor is greater than 1, the image is larger than the preimage. Dilations with a scale factor greater than 1 are called enlargements.

Thus, The given statement is false.

Learn more about the mathematical expression visit:

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#SPJ2

Answer:

25. C

26. F

Step-by-step explanation:

26.

You know that the sum of all of the angles in a triangle must be equal to 180º, we can make an equation.

55º + 67.5º + 3xº + 14º = 180º

Combine like terms:

136.50º+ 3xº = 180º

Subtract 136.50º

3xº = 180º - 136.50º

3xº = 43.50º

Divide by 3

xº = 43.50º / 3º

x = 14.50º

Answer:

......

Step-by-step explanation:

b)4kg:1600g

convert 4kg to grams

4000g:1600g

then divide

=5g:2g

then convert 5g into kg

=0.005kg:2g

f)5 days:5 weeks

multiply 5weeks by 7 u will get 35

5days :35dys then divide by 5

1:7days

=1 day:1 week

h)40 sec:1 min

40 sec:60 sec

then divide both of them by 2

2 sec:3 sec

then take 3 ÷60=0.05 min

=2 sec:0.05 min

Answer:

[tex]36a^5[/tex].

Step-by-step explanation:

In a right angle triangle,

Length of one leg [tex]=12a^5[/tex]

Length of other leg [tex]=9a^5[/tex]

According to the Pythagoras theorem,

[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]

Using Pythagoras theorem,

[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]

[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]

[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Perimeter of right angle triangle is the sum of all sides of the triangle.

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]  units.

Therefore, the required expression is [tex]36a^5[/tex].

Answer:

C= 6.28 A: 3.14

Step-by-step explanation:

Circumference of a circle is 2* pi * r

Based on this, we can subsitute r for 1

2* pi * 1= 2pi which is around 6.28 units

Area of a circle is pi* r* r

Based on this, we can subsitute r for 1

pi* 1* 1= pi= 3.14 units squared

Answer:

729

Step-by-step explanation:

9³ you just type that in the calculator

Answer:

[tex] {3}^{6}[/tex]

Step-by-step explanation:

[tex] \huge {9}^{3} \\ \huge= ( {3}^{2} )^{3} \\ \huge = {3}^{2 \times 3} \\ \huge= {3}^{6}[/tex]

Answer:

5/2 or 3/2

Step-by-step explanation:

(2x-3)(2x-3)

FOIL it out

4x^2-6x-6x+9

4x^2-12x+9=4x-6

add 12x to each side

4x^2+9=16x-6

add 6

4x^2+15=16x

4x^2-16x+15=0

use quadratic formula

Answer:y-3=-3/4(x+8)

Step-by-step explanation: you plug the numbers into the formula y-y1=slope(x-x1)

Answer:

3 * 5 ^ (n-1)

Step-by-step explanation:

3 is the first term and it multiplies by 5

The explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

The standard explicit formula for  a geometric sequence is expressed as:

[tex]T_n = ar^{n-1}\\[/tex]

a is the first term

r is the common ratio

n is the number of terms

Given the sequence of numbers 3, 15, 75, 375...

r = 15/3 = 75/15 = 5

a = 3

Substitute the given parameters into the formula to have:

[tex]T_n = ar^{n-1}\\T_n=3(5)^{n-1}[/tex]

Hence the explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

Learn more here: https://brainly.com/question/20548958

Answer:

B 120 different combinations

Step-by-step explanation:

There are 6 letters to choose from

Picking a letter for the first spot  6

Then there are 5 letters left

Picking a letter for the second spot  5

Then there are 4 letters left

Picking a letter for the second spot  4

6*5*4

= 120

Answer:

C

Step-by-step explanation:

Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!

Answer:

$1.5

Step-by-step explanation: