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A circle has a radius of 15 m. Find the length s of the arc intercepted by a central angle of pie over 3
radians.
Do not round any intermediate computations, and round your answer to the nearest tenth.

Answer:

4.192

Step-by-step explanation:

it the one that is the right side

Answer:

28125

Step-by-step explanation:

The [tex]n[/tex]th term of your geometric sequence is [tex]9\cdot5^{n-1}[/tex]. This means that the 6th term is [tex]9\cdot5^{6-1}=28125[/tex].

Answer:

.

Step-by-step explanation:

.

Answer:

[tex]4 \frac{1}{2} [/tex]

Step-by-step explanation:

Let's find the value of x first.

From the first sentence:

4x +13= 8

Subtract 13 from both sides:

4x= 8 -13

4x= -5

[tex]x = - \frac{5}{4} [/tex]

[tex]x = - 1 \frac{1}{4} [/tex]

2 times x is added to 7 → 2x +7

2x +7

[tex]= 2( - \frac{5}{4} ) + 7 [/tex]

[tex] = - \frac{5}{2} + 7[/tex]

[tex] = 4 \frac{1}{2} [/tex]

Answer:

9 mins and 8 secs

Step-by-step explanation:

Answer:

I think it's $50.18 I'm not sure . hope that I helped you .

Answer:

3rd

C

Explanation:

Amit's mistake : The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius.

The point (2,-2) is on the circle, and Amit's claim is wrong

The given parameters are:

Center = (-1,2)

Diameter = 10 units

Point = (2,-2)

Start by calculating the radius, r

r = diameter/2

r = 10/2

r = 5

Next, calculate the distance from the point to the center using:

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

This gives

[tex]r = \sqrt{(2 + 1)^2 + (-2-2)^2}[/tex]

Evaluate

r = 5

The distance from the center to the point equals the radius of the circle

Hence, the point is on the circle, and Amit's claim is wrong

Read more about circle equations at:

https://brainly.com/question/1559324

#SPJ2

Just do the proportions

Answer:

Other whole numbers that can be raised to a power to get 4,096 are  4, 8, 16 and 64

Step-by-step explanation:

Given;

2¹² = 4096

Other whole numbers that can be raised to a power to get 4,096 are obtained as follows;

[tex]if \ (a^x)^y = a^{xy}\\\\ (2^2)^6 = 4,096\\\\(4)^6 = 4,096\\\\Thus, \ the \ first \ whole \ number \ is \ 4\\\\(2^3)^4 = 4,096\\\\(8)^4 = 4,096\\\\Thus, \ the \ second \ whole \ number \ is \ 8\\\\(2^4)^3 = 4,096\\\\(16)^3 = 4,096\\\\Thus, \ the \ third \ whole \ number \ is \ 16\\\\(2^6)^2 = 4,096\\\\(64)^2 = 4,096\\\\Thus, \ the \ fourth \ whole \ number \ is \ 64[/tex]

Therefore, Other whole numbers that can be raised to a power to get 4,096 are  4, 8, 16 and 64

Using the concept of probability, the probability that the first disk selected has a smaller number than the second is 0.381

Disk marked 11 = 4

Disk marked 22 = 6

Disk marked 33 = 7

Disk marked 44 = 3

Total disks = 20

Recall :

Ways of making selection such that first disk is smaller than second :

First = 11 and second = 22 = (4/20 × 6/19) = 0.0631

First = 11 and second = 33 = (4/20 × 7/19) = 0.0736

First = 11 and second = 44 = (4/20 × 3/19) = 0.0316

First = 22 and second = 33 = (6/20 × 7/19) = 0.1105

First = 22 and second = 44 = (6/20 × 3/19) = 0.0474

First = 33 and second = 44 = (7/20 × 3/19) = 0.0553

Hence,

P(first disk < second) = (0.0631 + 0.0736 + 0.0316 + 0.1105 + 0.0474 + 0.0573) = 0.381

Therefore, probability that the first disk selected is smaller than the second will be 0.381

Learn more : https://brainly.com/question/8882508

Answer:

p=X^2+4x

aaaaaaaa is corect a

Answer:

We have 31/36 gallons of paint left after painting the mural.

Step-by-step explanation:

"Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction."

==================================================================

First change each number into a improper fraction:

1 1/8 = 9/8

1 1/9 = 10/9

7/8 = 7/8

=================================================================

"If Mark has 9/8 gallons of yellow paint, and he uses 3/4 gallons"

  -We have to multiply 3/4 by 2/2 to make the denominators same.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 9/8.

9/8 - 6/8 = 3/8

We will have 3/8 gallons of yellow paint.

==================================================================

"If Mark uses 10/9 gallons of green paint, and he uses 3/4 gallons"

     - We have to multiply 10/9 by 4/4, and 3/4 by 9/9, to get a common denominator.

10/9 × 4/4 = 40/36

3/4 × 9/9 = 27/36

Now subtract 27/36 from 40/36

40/36 - 27/36 = 13/36

We will have 13/36 gallons of green paint.

==================================================================

"If Mark uses 7/8 gallons of blue paint, and he uses 3/4 gallons"

        -We have to multiply 3/4  by 2/2 to get a common denominator.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 7/8.

7/8 - 6/8 = 1/8

We will have 1/8 gallons of yellow paint.

==================================================================

Now, we will add the leftover amounts of paint to find the answer.

3/8 + 13/36 + 1/8

Add "like terms".

4/8 + 13/36

Simplify 4/8 into 1/2

1/2 + 13/ 36

Multiply 1/2 by 18/18 to get a common denominator.

1/2 × 18/18 = 18/36

Substitute 18/36 as 1/2 in the expression.

18/36 + 13/36 = 31/36

So, We have 31/36 gallons of paint left after painting the mural.

==================================================================

Hope I helped, Have a nice day!

              -Aadi x

Answer:

x = 2

Step-by-step explanation:

4(5 - 2x) + 3 = 7

Distributive property ,    multiply (5-2x) by 4:

20 -8 x + 3 = 7

Combine like terms:

23 - 8x = 7

Inverse add and subtract:

23 - 7 - 8x + 8x = 7 - 7 + 8x

16 = 8x

Inverse divide:

16/8 = 8x/8

x = 2

Answer:

Answer in explanation

Step-by-step explanation:

Probability of Magic elf =

[tex]p(elf) \times p(magic) \\ = \frac{1}{3} \times \frac{1}{5} \\ = \frac{1}{15} or \: 0.66667[/tex]

Answer:

6.66%

Step-by-step explanation:

There is a 1/3 chance of getting the character you want and 1/5 chance of getting the weapon you want. So the probability is 1/3*1/5=1/15 or 6.66%.

Step-by-step explanation:

given 47 + 10x = -10x + 7

[tex]47 + 10x = - 10x + 7 \\ 47 + 10x + 10x = 7 \\ 47 + 20x = 7 \\ 20x = 7 - 47 \\ 20x = - 40 \\ x = - 40 \div 20 \\ = - 2[/tex]

Answer:

Siiiiii

Step-by-step explanation:

Answer:

diagram?

Step-by-step explanation:

Answer: display

Step-by-step explanation:

Answer:

Hi! The answer to your question is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

This equation is in y=mx+b or -b which is Slope Intercept form for Graphing basically y is the y intercept and b means slope, you don't have to do anything extra to find the slope when its in Slope Intercept Form all you have to do is look for usually its a fraction but it can also be a number but all you have to look for is the number that comes before b in the equation! If this has helped you please say that this has helped, if it hasn't please tell me what confuses you and i can quickly clear up that confusion! Have a nice day!

Answer:

To control an infection, a doctor prescribes a dosage of 200 mg of medicine every 8 hours for an infant weighing 12.1 lb. At this rate, what would the dosage be for an infant weighing 20.8 lb?

Step-by-step explanation:

ans :- 7.5 ml

Answer:

The X coordinate is 6, since it's midway between J and K. If you draw a midline from L, and running to the midpoint of the line JK, you make two right angled triangle. The length of the midline would be the square root of the difference of the squares of six and three, which is 5.20, which is the offset of the Y coordinate of L from the Y coordinate of J and K, which is 2. Add 5.20 to 2 to get the Y coordinate of L as 7.20. L is therefore (6,7.20)

Answer:

(6, 7.2)

Step-by-step explanation:

Since it is an equilateral triangle, all of the side length must be equal.

Therefore, we know the lengths JK = 6 and JL = 6. If h is the height of the triangle, the Pythagoras's theorem says

(JK/2)² + h² = JL²

putting in the values of JK and JL gives

(6/2)² + h² = 6²

3² + h² = 6²

subtracting 3^2 from both sides gives

h² = 6² - 3²

h² = 27

Taking the square root of both sides gives

h =

[tex] \sqrt[3]{3} [/tex]

h = 5.2

With the value of h in hand, we can now read off the coordinates of L.

The x coordinates of L is 6 (count the boxes along the x-axis until you are under L or halfway between J and K).

The y-coordinates of L is 2 + h = 2 + 5.2 = 7.2 ( how far above the x-axis the triangle is plus the height of the triangle).

Answer:

19/90

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

linear

hope this was helpful

Answer:

Step-by-step explanation:

26

Answer:

15

Step-by-step explanation:

4y + 3x = 4 x -3 + 3 x 9

4 x -3 = -12

3 x 9 = 27

-12 + 27 = 15

Answer:

15

Step-by-step explanation:

4(-3) + 3(9)

-12 + 27 = 15