A bag contains 5 white marbles and 5 blue marbles. You randomly select one marble from the bag and put it back. Then, you randomly select another marble from the bag. Which calculation proves that randomly selecting a white marble the first time and a blue marble the second time are two independent events?

Answer: 15120

Step-by-step explanation:

10×12×7×2×9=15120

Answer: 15120

Step-by-step explanation:

Given: The number of players at point guard = 10

The number of  players at shooting guard = 12

The number of  players at small forward = 7

The number of  players at power forward = 2

The number of  players at center = 9

Then, the number of different teams William could draft is given by :-

[tex]10*12*7*2*9=15120[/tex]

Hence, William could draft 15120 different teams.

E-2=18 should be your answer

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❖ The correct answer is e - 2 = 18.

e is being decreased by 2 so we represent this as, -2. The problem says it equals 18 so therefore, the equation will be written as e - 2 = 18

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Answer:

The correct answer option is C. 73.75.

Step-by-step explanation:

We are to perform division where 29.5 is the dividend while 0.4 is the divisor.

To make this division somehow easier, we can multiply both the dividend and the divisor by 10 to avoid the decimals.

So multiplying both the values with 10, we get:

[tex] \frac { 295 } { 4 } [/tex]

Now dividing 295 by 4, we get a quotient of 73.75.

Answer:

The answer is 16.5 meters in 10 seconds

Step-by-step explanation:

First you divide 99 by 60 seconds

When you get 1.65 you multiply it by 10 second.

When you multiply 1.65 by 10 second you get 16.5 meters in 10 seconds

➷ x + y = 66

y - x = 22 (rearrange for y)

y = x - 22 (substitute this into the top equation)

x + (x - 22) = 66

2x - 22 = 66

Add 22 to both sides

2x = 88

x = 44

The two numbers are 44 and 22

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The solution is x= 44 and y =22

See the image

First we need to simplify:

(-2x^2-4x+13 + (12x^2+2x-25) to get (−2x+12x​​ )+(−4x+2x)+(13−25).

Simplify to get [tex]10x^2 - 2x - 12[/tex]

There is your answer^

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it is 0.75 L because the L are more than a mL

Answer:

Step-by-step explanation:

0.75

Answer: w=7

All work is shown in the attached sheet! :)

45,700

You either go up from 5-9 or down for 1-4.

Example:

56,891 to the nearest hundred.

An 8 is in the hundreds place so it will either be 56,800 or 56,900 depending on if you go up or down. Start at the ones place. The number is 1 so you take that down. Then you have 56,890. Next you go to the tens place. A 9 would go up so you then have 56,900. You are now in the hundreds place so you have solved the problem.

Answer:

45,700

Step-by-step explanation:

Go to the hundreds place and look at the number behind it. It's a 2. If you are rounding and the number behind it is 4 or less, you would keep it the same. If the number behind it is 5 or more, then you would round up. So, the answer is 45,700.

Answer:

find the area on one shape and the area of the other and add the shapes areas to get your answer

Step-by-step explanation:

Answer: Add the volume of a rectangular prism to the volume of a triangular prism.

Step-by-step explanation:

A. Find the volume of a pyramid.

Neither of the shapes shown are a pyramid and there should be two shapes added together.

B. Find the volume of a rectangular prism.

There should be two shapes being added together, however this is one of the shapes shown.

C. Add the volume of a rectangular prism to the volume of a triangular prism.

This is the answer because the bottom shape of the house is a rectangular prism since there are six faces all with four sides. The top shape is a triangular prism because two of the faces are triangles and the other three are rectangles. This shape would not be a pyramid because in order for it to be categorized that way it would need at least four triangular faces that connect at a point.

D. Add the volume of a rectangular prism and a pyramid.

The triangular prism is shown, however the shape used to represent the roof of the house would be classified as a rectangular prism.

Answer:

Step-by-step explanation:

[tex]f(x)=x^3-2x^2+16x-32\\\\\text{The zeros:}\\\\f(x)=0\Rightarrow x^3-2x^2+16x-32=0\\\\x^2(x-2)+16(x-2)=0\\\\(x-2)(x^2+16)=0\iff x-2=0\ \vee\ x^2+16=0\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}\\\\x^2+16=0\qquad\text{subtract 16 from both sides}\\x^2=-16<0\qquad\text{no real solutions}\\\\\text{In the set of the complex numbers}\\x^2=-16\to x=\pm\sqrt{-16}\\\boxed{x=-4i\ \vee\ x=4i}[/tex]

pretty sure the answer is b

The real numbers 0, 3, 7, 11, 15, and 18 belong to the subsets of integers and rational numbers.

The real number subsets to which each of the given numbers belong are as follows:

Therefore, the correct answer is B. integers and rational numbers.

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Answer:

4 hours

Step-by-step explanation:

3 x 12 = 36

36/9 = 4

Answer:

4 hours

Step-by-step explanation:

3 x 12 = 36

36/9 = 4

The approximate percent increase in the price of the movie ticket is 18.52%.

To find the approximate percent increase in the price of the movie ticket, we can use the formula:

Percent increase = ((New price - Old price) / Old price) * 100

Plugging in the given values:

Percent increase = ((8.00 - 6.75) / 6.75) * 100 = 18.52%

Therefore, the approximate percent increase in the price of the movie ticket is 18.52%.

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i believe the answer is B but im not sure

Answer:

582 ft²

Step-by-step explanation:

2(6x15)= 180

2(9x9)=  162

  (9x4)=   36

  (6x4)=   24

3(15x4)= 180  

            582 ft²

             648 ft²

Answer: 113.0973  [tex]in^{2}[/tex]

Step-by-step explanation:

If the diameter of the circle is 12", then the radius is 6" (half the diameter), and the area "A" is (approximately) 3.14 * 6^2 or about 113.04 sq. in. The calculation is approximate because 3.14 is a rounded value for pi. But the correct answer is 113.0973 not 113.04 because it's giving you the answer compared to SQUARE, but we need the answer in Inches. So that was just an example.

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The area is approximately 113.097 square inches.

To find the area of a pizza with a diameter of 12 inches, we follow these steps:

Therefore, the area of the pizza is approximately 113.097 square inches.

Answer:

-8

Step-by-step explanation:

(-32)^(3/5) is equivalent to (-2^5)^(3/5) and applying exponent rules then simplifying you can get your answer.

Answer:

Step-by-step explanation:

Let's just see what happens if we do

(-32)^(1/5)

That means what number do you start with that when multiplied 5 times gives you - 32?

The answer is - 2

-2 * - 2 * -2 * -2 * -2 = -32

Now when you have a root sign that goes to the 1/5 power, you can take out 1 of the factors and throw the other 4 away.

[tex]\sqrt[5]{-2 * - 2 * - 2 * -2 * -2} = - 2[/tex] take one - 2 from under the root sign and throw the other 4 away

That's not the answer. We have one more step.

What is -2 to the 3rd power.

(-2)^3 = - 8

So the answer is -8

[tex]\sqrt[5]{- 32}^3 = -8[/tex]

Answer:

305 or N=1

Step-by-step explanation:

N=17, correct?

so what you do first is rewrite the equation:

17^2+16

which will equal:

305

if not and the equation is N^2+16=17

then you have to subtract the 16 first from 17

n^2=1

now you divide or whatever you call it XD

/n^2=/1

so the answer to N=1

Answer:

c. 1 13/15

Step-by-step explanation:

The best way to find out how much more Tristan rode his bike would be to subtract both of his distances together.

Saturday = [tex]3\dfrac{2}{3}[/tex]

Sunday = [tex]1\dfrac{4}{5}[/tex]

Now we actually have two different fractions with different denominators.

We can solve this first by converting the mixed numbers into improper fractions.

[tex]3\dfrac{2}{3}=\dfrac{9+2}{3}[/tex]

[tex]3\dfrac{2}{3}=\dfrac{11}{3}[/tex]

Now how did I do that?

First we take the denominator and multiply it to our whole number, then add the product to the numerator.

Let's proceed to the next mixed fraction.

[tex]1\dfrac{4}{5}=\dfrac{5+4}{5}[/tex]

[tex]1\dfrac{4}{5}=\dfrac{9}{5}[/tex]

We are then left with:

[tex]\dfrac{11}{3}-\dfrac{9}{5}[/tex]

Since we cannot subtract them directly because they have different denominators, we need to find the LCD of both denominators.

[tex](\dfrac{5}{5}) \dfrac{11}{3}-\dfrac{9}{5}(\dfrac{3}{3})[/tex]

[tex]\dfrac{55}{15}-\dfrac{27}{15}[/tex]

Now that they have similar denominators, we can then proceed to subtract them to each other.

[tex]\dfrac{55}{15}-\dfrac{27}{15}=\dfrac{28}{15}or1\dfrac{13}{15}[/tex]

X = number of correct answers

Y = number of incorrect answers

School A has 174 points and school B has 102 points.

A = 174

B = 102

School A has the same number of correct and incorrect answers during the final round.

A = 174 + 10X - 6Y

School B gives no incorrect answers and the same number of correct answers as school A.

B = 102 + 10X

The contest ends with the two schools tied.

Score = 174 + 10X - 6Y = 102 + 10X

174 + 10X - 6Y = 102 + 10X

Answer:

line 1  line 3

Step-by-step explanation:

I took the test

I think it would be: "My pet rabbit likes lettuce."

I believe it would be 2) my pet is a rabbit.

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

−3(2−5w)=9w+66

Step 1: Simplify both sides of the equation.

−3(2−5w)=9w+66

(−3)(2)+(−3)(−5w)=9w+66(Distribute)

−6+15w=9w+66

15w−6=9w+66

Step 2: Subtract 9w from both sides.

15w−6−9w=9w+66−9w

6w−6=66

Step 3: Add 6 to both sides.

6w−6+6=66+6

6w=72

Step 4: Divide both sides by 6.

   6w

    6

=    72

     6

w=12

Answer:

w=12

Answer:

297

Step-by-step explanation:

To find V or Volume to multiply all of the number so 11 time 9 times 3 equals 297. So V = 297

Answer:

84.7058824 %

Step-by-step explanation:

Of means multiply and is means equals

P *85 = 72

Divide each side by 85

P *85/85 = 72/85

P = .847058824

Change from decimal form to percent form by multiplying by 100

P =  .847058824 * 100

P = 84.7058824 %

Answer:

84.7058824 %

This is the correct answer.

Answer:

Step-by-step explanation: the answer is true

The given statement is true. Both functions and relations can be represented by mapping diagrams is true statement.

Mapping diagrams: A mapping diagram is a visual representation that shows the relationship between the elements of a domain and the corresponding elements in a co-domain or range.

Functions: A function is a specific type of relation where each element in the domain is mapped to exactly one element in the co-domain. In a mapping diagram for a function, each element in the domain is represented by an arrow pointing to its corresponding element in the co-domain.

Representing functions with mapping diagrams: To represent a function using a mapping diagram, follow these steps:

Identify the elements in the domain and co-domain of the function.

Draw a set of arrows from each element in the domain to its corresponding element in the co-domain.

Make sure that each element in the domain has only one arrow pointing to it from the co-domain, indicating the one-to-one mapping characteristic of functions.

Relations: A is a more general concept that describes any set of ordered pairs consisting of elements from a domain and co-domain. A relation can have multiple outputs for a single input, unlike a function.

Representing relations with mapping diagrams: To represent a relation using a mapping diagram, follow these steps:

Identify the elements in the domain and co-domain of the relation.

Draw arrows from each element in the domain to all the corresponding elements in the co-domain, representing the multiple outputs or mappings.

In summary, mapping diagrams can be used to represent both functions and relations. Functions have a one-to-one mapping, whereas relations can have multiple mappings for a single input. Mapping diagrams provide a visual way to understand and represent the relationships between the elements of a domain and co-domain.

Therefore, the given statement is true. Both functions and relations can be represented by mapping diagrams is true statement.

Learn more about mapping diagrams here:

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Answer:

The units price is [tex]\$0.28[/tex] per pencil

Step-by-step explanation:

we know that

To find the unit price divide the total cost by the total number of pencils

so

[tex]\frac{2.24}{8}\frac{\$}{pencils}=0.28\frac{\$}{pencil}[/tex]

Answer:

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

Step-by-step explanation:

[tex]rule of slope = \frac{y^2-y^1}{x^2-x^1}[/tex]

4 - 6 = -2

6 - -2 = 8

-2 ÷ 8 = -0.25 (-1/4)

Answer:

The slope is [tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

Let [tex](x_1,y_1)=(-2,6)[/tex] and [tex](x_2,y_2)=(6,4)[/tex].

The slope of the line passing through these two points is given by;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We substitute the values to obtain;

[tex]m=\frac{4-6}{6--2}[/tex]

[tex]m=\frac{-2}{8}[/tex]

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

Answer:

Angle CBD is 125°.

Step-by-step explanation:

Remember that the sum of all the interior angles of a triangle is 180°.  We know two of these angles from the diagram for problem #3:  67° amd 58°.  Thus, angle ABC is 180° less the sum of 67° and 58°, or 180° - (67° + 58°), which comes out to 180° - 125°, or 55°.

This 55° and angle CBD are supplementary angles.  In other words, 55° + <CBD must sum up to 180°.  Subtracting 55° from 180° yields 125°.

Angle CBD is 125°.

Answer:

Step-by-step explanation:

We know that ∠CBD = ∠ACB + ∠CAB           [ External Angle of a                                                                                         Triangle theorem]

∠CBD = 58° + 67° = 125°

Answer:

x³ + 3x² - 46

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x)

f(x) + g(x)

= x² - 36 + x³ + 2x² - 10 ← collect like terms

= x³ + 3x² - 46