You randomly draw a marble out of a bag that contains 20 total marbles. 12
What is P (draw a blue marble)?
If necessary, round your answer to 2 decimal places.

Mr. Peterson has traveled approximately 376.8 feet after making one full rotation in a lazy river with a diameter of 120 feet, by calculating the circumference of the circle using the formula C = πd.

The question asks how many feet Mr. Peterson has traveled after making one full rotation in a lazy river shaped like a circle with a diameter of 120 ft. To find the distance traveled, we need to calculate the circumference of the circle, which is the total distance around the circle.

The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter of the circle. Using π approximately equal to 3.14 and the given diameter of 120 feet, we calculate the circumference as follows:

C = πd = 3.14 × 120 ft = 376.8 ft

Therefore, Mr. Peterson has traveled approximately 376.8 feet after making one full rotation around the lazy river.

The only solution to the equation |x+1|+|x-2|=3 is x=2. To find this, we broke the problem into cases based on the nature of absolute values and verified the solution by substitution.

To solve the equation |x+1|+|x-2|=3, we need to consider the different cases due to the absolute value functions.

If x = 2, both x+1 and x-2 are non-negative, and our equation simplifies to x+1+x-2=3, which results in x=2.

If -1 \\leq x < 2, x+1 is non-negative, and x-2 is negative, so the equation becomes x+1-(x-2)=3, which is an identity and does not yield a solution.

If x < -1, both x+1 and x-2 are negative, so the equation becomes -(x+1)-(-x+2)=3, simplifying down to -1=3, which is false and cannot be a solution.

Therefore, the only solution is x=2. We can verify this by substituting back into the original equation. This is consistent with the properties of absolute value equations. Always verify your solutions to ensure they hold in the original equation.

Answer:

5x-20

Step-by-step explanation:

multiply and distribute the 5

Final answer:

To solve the equation log10x = 4, we convert it to its exponential form, which is 10^4 = x. By doing the calculation, we find that x equals 10,000. This value is the inverse log of the number 4.

Explanation:

To solve the equation log10x=4, we need to understand that this is a common logarithmic equation where the base of the logarithm is 10. The equation essentially asks what power we must raise 10 to in order to get x. In this case, the power is 4.

According to the properties of logarithms, we can rewrite the equation in its exponential form which is 10^4 = x. So, x = 10,000.

This value of x is obtained by taking the inverse log of 4 or calculating 10^4 using a calculator, which yields the result 10,000. Therefore, x = 10,000 is the solution to the equation log10x = 4.

Answer:

Sin A = 1/2 means taking the inverse of Sin which is arcsin and then solving for A.

Do the same thing for Cos A = 1/2. The inverse of Cos is arccos and then solve for A.

The answer is pi/3. Knowing the unit circle helps too.

Good luck!

If sin A is 1/2. Then the value of cos A will be √3 / 2.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

If sin A is 1/2. Then the value of cos A will be

We know that

sin² A + cos² A = 1

Then we have

(1/2)² + cos²A = 1

cos² A = 1 - 1/4

cos² A = 3/4

cos A = √(3/4)

cos A = √3 / 2

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Answer:

  h < 2

Step-by-step explanation:

The charges by Grayson are ...

  35h +35

The charges by Ian are ...

  45h +15

We want to find h for ...

  Grayson > Ian

  35x +35 > 45h +15 . . . . use expressions we found

  20 > 10h . . . . . . . . . . . . add -15-35h

  2 > h . . . . . . . . . . . . . . . divide by 10

Grayson will charge more for less than 2 hours.

Answer:

A: h < 2

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Answer:

Perpendicular

Step-by-step explanation:

Parallel lines have equal slopes.

The product of perpendicular slopes = - 1

Calculate the slopes of u and v using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 51, 65) and (x₂, y₂ ) = (- 46, 96)

m = [tex]\frac{96-65}{-46+51}[/tex] = [tex]\frac{31}{5}[/tex]

Repeat with (x₁, y₁ ) = (- 37, 85) and (x₂, y₂ ) = (- 6, 80)

m = [tex]\frac{80-85}{-6+37}[/tex] = - [tex]\frac{5}{31}[/tex]

Since [tex]\frac{31}{5}[/tex] × - [tex]\frac{5}{31}[/tex] = - 1

Then the lines are Perpendicular

Answer:

2/60

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

12x^2+5x-4 = 12x^2+6

Subtract 12x^2 from each side

12^x2-12x^2+5x-4 = 12^2x-12x^2+6

5x-4 = 6

Add 4 to each side

5x-4+4 = 6+4

5x = 10

Divide each side by 5

5x/5 = 10/5

x = 2

Answer:

IT EQUALS 2

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

We have to use the distributive property. Remember that the distributive property states that when expanding out a parentheses, you must find the sum of the product of the "outside term" with each of the "inside terms".

In this case, the "outside term" is 3 and the "inside terms" are y and 4. So, we need to multiply 3 by each of y and 4 and then add those together:

3(y + 4) = 24

3 * y + 3 * 4 = 24

3y + 12 = 24

Now, we subtract 12 from both sides to isolate the variable:

3y + 12 - 12 = 24 - 12

3y = 12

Finally, divide by 3 from both sides to get y alone:

3y/3 = 12/3

y = 4

Thus, y = 4.

Hope this helps!

Answer:

y = 4

Step-by-step explanation:

3(y+4) = 24 <- This is a linear equation so its solved as such

3y+12 = 24 <- Distribute the (PEMDAS)

    -12    -12 <- Get y alone

     3y = 12 <- Rewrite with y alone

     [tex]\frac{3y}{3}[/tex] = [tex]\frac{12}{3}[/tex]  <- Divide both sides

      y = 4

Answer:

y = 3

Step-by-step explanation:

This is a constant function

y = 3

The equation of a line can be predicted easily if two points are given. Thus, the equation of the required line is [tex]\bold{y=4}[/tex].

We need to determine the equation of the line with the help of the given graph.

Now, take two points from the graph. The points are ( 1, 4 ) and ( 2, 4 ).

The if a line passed through the two points say [tex](x_1,y_1)\;\rm{and}\;(x_2,y_2)[/tex], then the equation of the line can be formulated as:

[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Therefore, apply the formula and solve it further.

[tex]\begin{aligned} (y-4)&=\dfrac{4-4}{3-2}(x-1)\\y-4&=0\\y&=4 \end{aligned}[/tex]

Thus, the equation of the line is [tex]\bold{y=4}[/tex]

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Answer:Jennifer earn 50$ more than micchel

Step-by-step explanation:

Answer:

Download photomath it's really helpful

Answer:

351

Step-by-step explanation:

Calculate the numbers on a calculator (6.77*7*7.4) and you'll get the answer 350.686. With that number, round the 600 up (makes the 0 in 350 to 1) which will give you the new number of 351. Hope this helps.

Answer:

1/3

Step-by-step explanation:

3/9 = 1/3

Answer:

7 packages

Step-by-step explanation:

Tuesday:

To work this out you would first need to work out how many she has on Monday. First you would divide 63 by 9 to work out 1 ninth, which gives you 7. Then you would multiply 7 by  7 to work out 7 ninths, which gives you 49.

1) Divide 63 by 9.

[tex]63/9=7[/tex]

2) Multiply 7 by 7.

[tex]7*7=49[/tex]

3) She has 49 packages on Tuesday

Wednesday:

To work this out for Wednesday you would first divide 49 by 7 to work out what one seventh is, Which gives you 7. Then you would multiply 7 by 1, which gives you 7.

1) Divide 49 by 7.

[tex]49/7=7[/tex]

2) Multiply 7 by 1.

[tex]7*1=7[/tex]

3) She has 7 packages on Wednesday

Answer:

-1

Step-by-step explanation

Answer:

-1

Step-by-step explanation:

-9-3 = -12

18-6 = 12

-12/12 = -1

Answer:

73

Step-by-step explanation:

this is the answer bc it is near a 90 degree angle but not there yet but close

Answer:

All correct ones:

18in. x 36in. 1yrd.

18in. x 1ft 12in. x 1yrd 3ft

Step-by-step explanation:

The correct expressions to convert 18 inches into yards are:

18 in ⨉ 1yd/36 in. Thus, option a is correct.

Measurement conversion refers to the process of changing a quantity from one unit of measurement to another unit of measurement.

The first expression uses the conversion factor of 1 inch = 1/36  yards

Then, 18 inches = 18 × 1/36 yards  

or,

18 in ⨉ 1yd/36 in

The correct expressions to convert 18 inches into yards are:

18 in ⨉ 1yd/36 in. Thus, option a is correct.

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Complete question:

Look at the attached picture⤴

Hope it will help u..

Answer:

32256 square inches

Step-by-step explanation:

Formula  

multiply the area value by 144

Answer:

Amount of potteries sold at $9.50 is 30

And that of $6.50 is 65 potteries

Step-by-step explanation:

Kindly refer to the attached image for explanations

Option D, f(x) = 3(2)^x, represents an exponential function.

The equation that represents an exponential function is f(x) = 3(2)x. The exponential function has the form y = ab^x, where a and b are constants, and b is greater than 0 and not equal to 1. In this equation, b is equal to 2, which satisfies the condition. Therefore, option D, f(x) = 3(2)x, represents an exponential function.

Answer:

8 chicken, 4 beef

Step-by-step explanation:

No. of chicken: x

No. of beef: y

x + y = 12

x = 12 - y

10x + 14y = 136

10(12 - y) + 14y = 136

120 - 10y + 14y = 136

4y = 16

y = 4

x = 12 - 4

x = 8

Answer:

[tex]\frac{25}{7}[/tex]

Step-by-step explanation:

Given:

1 gallon = 4.5 liters

Question asked:

What fraction of 150 gallons is 189 liters ?

Solution:

First of all we will convert gallons to liters:-

1 gallon = 4.5 liters

150 gallons = 4.5 [tex]\times[/tex] 150 = 675 liters

Now, to know the fraction :-

675 gallons [tex]\div[/tex] 189 liters

[tex]=\frac{675}{189} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 9\\ \\ =\frac{75}{21} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 3\\ \\ =\frac{25}{7}[/tex]

Therefore, 150 gallons (675 liters)  is [tex]\frac{25}{7}[/tex] of 189 liters.

Answer:

52.5 lbs

Step-by-step explanation:

We can use a ratio to solve

30 ft              75 ft

-------------- = ------------

21 lbs              x lbs

Using cross products

30x = 75*21

30x = 1575

Divide each side by 30

30x/30 =1575/30

x =52.5 lbs