A bag contains several balls. There are 8 red balls, 6 yellow balls, 7 green balls and 2purple balls. If you pull out one ball from the bag, the probability, as a percentage,that you get a red or purple ball is __%.Type your answer in the box provided. Round your answer to the nearest tenth of apercent.

Answer:

option 2

Step-by-step explanation:

The graph represents the following piecewise defined function is attached below.

A function is an expression that illustrates the connection between two or more variables and numbers. A function defined by several subfunctions, each of which is applicable to a distinct interval in the domain, is said to be piecewise.

We have a function,

g(x) = { x², x<0

         1/2 x , 0<x<4

A function defined by several subfunctions, each of which is applicable to a distinct interval in the domain, is said to be piecewise.

The below-attached piecewise function is available.

Given the following piecewise function, the graph is attached below.

Learn more about piecewise function here: brainly.com/question/10733545

#SPJ5

The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

For more such questions square,click on

https://brainly.com/question/27307830

#SPJ8

The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

Answer:

i really dont know

Step-by-step explanation:

i really dont know

Answer:

27

Step-by-step explanation:

162 divide by 3 = 54 divided by 2 =27 I think this is the answer

Answer:

The angles are 54 2/3 degrees and 115 1/3 degrees

Step-by-step explanation:

make an equation for the angles x being one angle and y being the other

16+ 2x =y

Supplementary angles add to 180

x + y = 180

Fill in y with the first equation

x + 16 +2x =180

simplify

3x +16 =180

subtract 16 from both sides

3x = 164

divide both sides by 3

x = 54 2/3

Insert the value of x into the first equation then simplify

16 + 2(54 2/3) =y

16 + 109 1/3 =y

115 1/3 =y

Answer:

84

34

27

Step-by-step explanation:

Answer:

bold

Step-by-step explanation:

hshsjjsududidididiidododododokdodkdjdndndnjdudududuididjdjdjd

A plane is a two dimensional figure.

Answer:

no

x = 4 - 3x    x = 1

2x = 4          x =2

hope this helped :D

Answer:

No. They are not equivalent. The first one would end up being x=1, while the second one would be x=2.

Step-by-step explanation:

Answer:do homework

Step-by-step explanation:

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

For more such questions on height, click on:

https://brainly.com/question/28122539

#SPJ8

The total middle school enrollment is 889 for the given city.

According to the question,

We have the following information:

Three middle schools in a city had enrollments of 296,315 and 278.

Now, the total middle school enrollment can be easily found by adding the enrollments in three middle schools of the city.

So, we have the following expression:

Total middle school enrollment = 296+315+278

(We already know that the digits are first added from the right hand side and then we move to the left hand side.)

Total middle school enrollment = 889

Hence, the total middle school enrollment is 889 for the given city.

To know more about middle school enrollment here

https://brainly.com/question/18836384

#SPJ9

Answer:

f(4) = -10

If g(x) = 2, x = 0

Step-by-step explanation:

The area of triangle is determined as

Thus the area of triangle is 39.4 sq.unit.

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

For more questions on Angle .

https://brainly.com/question/30759856

#SPJ8

Answer: -4 Please mark brainliest if I am right :D

Step-by-step explanation:

Let's solve your inequality step-by-step.

3(x+4)−x>4

Step 1: Simplify both sides of the inequality.

2x+12>4

Step 2: Subtract 12 from both sides.

2x+12−12>4−12

2x>−8

Step 3: Divide both sides by 2.

2x/2 > -8/2

x>−4

Answer:

x>−4

Answer:

C.-4

Step-by-step explanation:

3(x)+3(4)-x>4

3x+12-x>4

2x>-8

2x/2>-8/2

x>-4

1.7a+0.3a=0.8

2a=0.8

a=0.4

The solution to the inequality expression is -8/9 ≤ x ≥ 4/9

From the question, we have the following parameters that can be used in our computation:

|3x + 6/9| ≥ 2

Expand the inequality expression

So, we have

-2 ≤ 3x + 6/9 ≥ 2

Subtract 6/9 from both sides

So, we have

-24/9 ≤ 3x ≥ 12/9

Divide through the equation by 3

-8/9 ≤ x ≥ 4/9

Hence, the solution to the inequality expression is -8/9 ≤ x ≥ 4/9

The graph is attached

Read more about inequality at

https://brainly.com/question/30994664

#SPJ1

Answer:

The answer is 15,008 you clicked the right one.

Step-by-step explanation:

Answer: your answer is right

Step-by-step explanation: i did the computation

Answer:

∠E = 66

d = 47

Explanation:

The sum of angles of a triangle must be 180; thereofre.

since ∠D = 63 and ∠F = 51, we have

subtracting 114 from both sides gives

which is our answer!

To find the length of d we draw the traingle

Answer:

D. x>5

Step-by-step explanation:

\(3x + 2 < 4x - 3 \\ = 3x - 4x < - 3 - 2 \\ = - x < - 5 \\ = x > 5\)

The function is supposed to be;

h(x) = -343^(x)

Answer:

The domain will be a set of real numbers while the range will be y ≤ 0 and on the interval (-∞, 1)

As x is increasing, h is decreasing and as x is decreasing, h is increasing

Step-by-step explanation:

We are given the function as;

h(x) = -343^(x)

The formula is;

y = a^(x) since it's symmetrical to the x-axis

However in this case;

y = -a^(x)

Now, the domain is y and the range is a set of values of x.

I've attached a graph of this function drawn on desmos.

From the graph we can see that The domain will be a set of real numbers while the range will be on the interval (-∞, 1)

For a value of x = 0,we have;

h(0) = -343^(0)

h(0) = -343

When we increase the value of x to 3,we have;

h(3) = -343^(3)

h(3) = -40353607

When we decrease the value of x to -3, we have;

h(-3) = -343^(-3)

h(-3) = 0.00000002478

Thus, we can conclude that;

As x is increasing, h is decreasing and as x is decreasing, h is increasing

Answer:

37,43,35 should be the answer to your game

Answer: 24

Step-by-step explanation: First of all because the number of data is 15 numbers, you know don't have to divide. Cross out the 1st and last numbers until you get to one number. I got 24

Answer:

b= 47

Step-by-step explanation:

180-90 =90

90 -43 =47

Answer:

b = 47°

Step-by-step explanation:

The 3 angles lie on a straight line and sum to 180° , that is

b + 43° + 90° = 180°

b + 133° = 180° ( subtract 133° from both sides )

b = 47°

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

For more such questions on volume

https://brainly.com/question/1972490

#SPJ8

Answer:

Step-by-step explanation:

6 = a / 4 + 2

=> 6 - 2 = a / 4 + 2 - 2
=> 4  =  a / 4
=> a = 16

Answer:

a = 16

Step-by-step explanation:

\(6=a/4+2\)

\(6(-2)=a/4+2(-2)\)

\(4=a/4\)

\(4(4)=(a/4)(4)\)

\(16=a\)

\(a=16\)

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

Answer:

Step-by-step explanation:

Simplifying square roots

Example

Let's simplify \sqrt{75}

75

​

square root of, 75, end square root by removing all perfect squares from inside the square root.

We start by factoring 757575, looking for a perfect square:

75=5\times5\times3=\blueD{5^2}\times375=5×5×3=5

2

×375, equals, 5, times, 5, times, 3, equals, start color #11accd, 5, squared, end color #11accd, times, 3.

We found one! This allows us to simplify the radical:

\begin{aligned} \sqrt{75}&=\sqrt{\blueD{5^2}\cdot3} \\\\ &=\sqrt{\blueD{5^2}} \cdot \sqrt{{3}} \\\\ &=5\cdot \sqrt{3} \end{aligned}

75

​

​

=

5

2

⋅3

​

=

5

2

​

⋅

3

​

=5⋅

3

​

​

So \sqrt{75}=5\sqrt{3}

75

​

=5

3

​

square root of, 75, end square root, equals, 5, square root of, 3, end square root.

Want another example like this? Check out this video.

Practice

PROBLEM 1.1

Simplify.

Remove all perfect squares from inside the square root.

{\sqrt[]{12}}=

12

​

=root, start index, end index, equals

Explain

Want to try more problems like these? Check out this exercise.

Simplifying square roots with variables

Example

Let's simplify \sqrt{54x^7}

54x

7

​

square root of, 54, x, start superscript, 7, end superscript, end square root by removing all perfect squares from inside the square root.

First, we factor 545454:

54=3\cdot 3\cdot 3\cdot 2=3^2\cdot 654=3⋅3⋅3⋅2=3

2

⋅654, equals, 3, dot, 3, dot, 3, dot, 2, equals, 3, squared, dot, 6

Then, we find the greatest perfect square in x^7x

7

x, start superscript, 7, end superscript:

x^7=\left(x^3\right)^2\cdot xx

7

=(x

3

)

2

⋅xx, start superscript, 7, end superscript, equals, left parenthesis, x, cubed, right parenthesis, squared, dot, x

And now we can simplify:

\begin{aligned} \sqrt{54x^7}&=\sqrt{3^2\cdot 6\cdot\left(x^3\right)^2\cdot x} \\\\ &=\sqrt{3^2}\cdot \sqrt6 \cdot\sqrt{\left(x^3\right)^2}\cdot \sqrt x \\\\ &=3\cdot\sqrt6\cdot x^3\cdot\sqrt x \\\\ &=3x^3\sqrt{6x} \end{aligned}

54x

7

​

​

=

3

2

⋅6⋅(x

3

)

2

⋅x

​

=

3

2

​

⋅

6

​

⋅

(x

3

)

2

​

⋅

x

​

=3⋅

6

​

⋅x

3

⋅

x

​

=3x

3

6x

​

​

Practice

PROBLEM 2.1

Simplify.

Remove all perfect squares from inside the square root.

\sqrt{20x^8}=

20x

8

​

=square root of, 20, x, start superscript, 8, end superscript, end square root, equals

Explain

Want to try more problems like these? Check out this exercise.

More challenging square root expressions

PROBLEM 3.1

Simplify.

Combine like terms and remove all perfect squares from inside the square roots.

2\sqrt{7x}\cdot 3\sqrt{14x^2}=2

7x

​

⋅3

14x

2

​

=2, square root of, 7, x, end square root, dot, 3, square root of, 14, x, squared, end square root, equals

Explain

Want to try more problems like these? Check out this exercise.

9514 1404 393

Answer:

  12 inches

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2bh

Fill in the given values and solve for the height.

  24 in² = 1/2(4 in)h

  h = (24 in²)/(2 in) = 12 in

The height of the triangle is 12 inches.

Answer:

12 inches

Step-by-step explanation:

Area = \(\frac{1}{2}bh\)

24 = \(\frac{1}{2} * 4 * h\)

24 = 2h

h = 12 inches

Answer:

80

Step-by-step explanation:

the combined angles of any triangle equal 180 degrees. take the known angles ( 50 and 50) and subtract their sum from 180. 180-100=80