The probability of choosing two orange balls without replacement is 1/35 , and the probability of choosing one orange ball is 1/5 .

What is the probability of drawing a second orange ball, given that the first ball is orange?




1/7

11/75

2/7

1/6

1 4/10 = 1/4 * 5.6 = 1.4 = 1 4/10

The product of the numbers (1/4) and 5.6 will be ( 7/ 5 ).

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given numbers are ( 1/4 ) and 5.6. The product will be calculated as:-

1/4 x 5.6 = 5.6 / 4

1/4 x 5.6 = 56 / 40

1/4 x 5.6 = 14 / 10

1/4 x 5.6 = 7 / 5

Therefore, the product of the numbers (1/4) and 5.6 will be ( 7/ 5 ).

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Since 1A claims that the diagram is of a square, you can easily find the perimeter by multiplying just one side by 4, because the definition of a square says that all of its four sides are equal in length.

Take the left side, x and 4, and add them together, because both of these lengths add up to form the side of the square. You have found one side of the square, x + 4. Now multiply this side by 4 for the perimeter.

Perimeter is the length all around the figure, and since a square has 4 sides you would multiply one side by 4 to find the perimeter.

4(x + 4) is your expression for the perimeter of the square. You could probably solve 1B and 1C by substituting in 3 and 5 for x in the equation I've given you :)

The best graph that best fits your table is graph D.

For number 12, I don't see any graphs, but the graph would look like the graph I have below.

For number 11, A) y = 1/2x - 1 is correct. Here's the proof! (pic #2)

For number 10, the first graph is correct, here's the proof! (pic #3)

            2⁴ + 7²

= 2x2x2x2 + 7x7

=        16     + 49

=             65

Answer: 65

The sum of [tex]2^4[/tex] and [tex]7^2[/tex] in standard form is [tex]6.5 \times 10^1[/tex].

To find the sum of [tex]2^4[/tex] and [tex]7^2[/tex] and write the answer in standard form, follow these steps:

Calculate [tex]2^4[/tex]:
[tex]2^4 = 2 \times 2 \times 2 \times 2 = 16[/tex]

Calculate [tex]7^2[/tex]:
[tex]7^2 = 7 \times 7 = 49[/tex]

Add the results from steps 1 and 2:
[tex]16 + 49 = 65[/tex]

Write the sum in standard form (also called scientific notation):
A number in standard form is written as [tex]a \times 10^n[/tex], where [tex]1 \leq a < 10[/tex] and [tex]n[/tex] is an integer.

For 65, we can write it as:
[tex]65 = 6.5 \times 10^1[/tex]

ANSWER

Perpendicular bisector

EXPLANATION

The perpendicular bisector of a line divides the line into two equal parts.

It forms a locus of points that are equidistant from the two given points.

Therefore the set of all points that are equidistant from two given points in a plane is the perpendicular bisector of the line joining the two points.

The final table is in the attached picture.

Before beginning, you should note that:

To get rid of a fraction, this fraction should be multiplied that is equal to or is a multiple of its denominator.

This means that:

[tex]\frac{1}{y} * ay = a[/tex]

Now, for the given:

We have the equation: [tex]y = \frac{1}{3} x + 2[/tex]

The denominator of the fraction is 3, therefore to get rid of it we will need x to be a 3 or a multiple of 3.

Let's consider the x values to be -3, 0, 3 and 6.

For x = -3: [tex]y = \frac{1}{3} (-3) + 2[/tex] = -3 + 2 = -1 .....>First order pair is (-3,-1)

For x = 0: [tex]y = \frac{1}{3} (0) + 2[/tex] = 0 + 2 = 2 .....> Second order pair is (0,2)

For x = 3: [tex]y = \frac{1}{3} (3) + 2[/tex] = 1 + 2 = 3 .....> Third order pair is (3,3)

For x = 6: [tex]y = \frac{1}{3} (6) + 2[/tex] = 2 + 2 = 4 .....> Fourth order pair is (6,4)

Hope this helps :)

$24 per hour * 263 hours = $6,312

It is a rate per hour times hours worked.

Answer:

It is not direct variation.

Step-by-step explanation:

In a direct variation, each y value divided by its corresponding x-value gives the same quotient, which is the constant of variation. Let's try two y-values and their corresponding x-values.

11/7 = 1.571428...

13/8 = 1.625

Since the two quotients above are different, there is no constant of variation, and the relation is not direct variation.

Answer:

It is not direct variation.

Step-by-step explanation:

In a direct variation, each y value divided by its corresponding x-value gives the same quotient, which is the constant of variation. Let's try two y-values and their corresponding x-values.

11/7 = 1.571428...

13/8 = 1.625

Since the two quotients above are different, there is no constant of variation, and the relation is not direct variation.

Step-by-step explanation:

This makes sense what they put

1/3 of $120.00 is $40.00, therefore the sale price will be $80.00 :-) xxx

ANSWER

[tex](25\times9)+(75\times9)=9(25+75)[/tex]

[tex](25\times9)+(75\times9)=9(100)[/tex]

[tex](25\times9)+(75\times9)=900[/tex]

EXPLANATION

According to the distributive property,

[tex](a\times b)+(a\times c)=a(b+c)[/tex]

This implies that,

[tex](25\times9)+(75\times9)=9(25+75)[/tex]

[tex](25\times9)+(75\times9)=9(100)[/tex]

The Right Hand Side of the equation now has 2 factors.

We solve now to obtain;

[tex](25\times9)+(75\times9)=900[/tex]

The distributive property allows you to factor out a common factor from both terms in an equation. In this case, you can rewrite the expression (25x9)+(75x9) using the distributive property as 9*(25+75), which simplifies to 9*100 or 900.

The distributive property in mathematics is a property where each term inside a bracket is multiplied by the term outside the bracket. We can use the distributive property to rewrite the given expression (25x9)+(75x9).

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Answer: C) 111.1111

Step-by-step explanation:

here are the place values to the right of the decimal.

decimal → tenths → hundredths → thousandths → ten thousandths

    .               1                2                       3                       4

Round the number to 4 digits to the right of the decimal point.

Answer: C. 111.1111

(7, 5) and (14, 7)  are inside the shaded region. I would rule out  those which are not whole numbers ( 1/2 a daisy would look silly!)

Answer (7, 5) and (14, 7)

we know that

If a ordered pair is a solution of the combination of carnations and daisies that can be used in the floral arrangement

then

the ordered pair must be in the triangular region graphed and make sense in the context of the situation

using a graphing tool

we're going to proceed to graph and analyze each of the cases

see the attached figure to better understand the problem

Step 1

point [tex]A(6,8.5)[/tex]

The point A is on the triangular region, but the number of daisies is not a whole number

therefore

The ordered pair A  does not make sense in the context of the situation

Step 2

point [tex]B(7,5)[/tex]

The point B is on the triangular region, and the number of carnations and daisies are a whole number

therefore

The ordered pair B  makes sense in the context of the situation

Step 3

point [tex]C(13,5.6)[/tex]

The point C is on the triangular region, but the number of daisies is not a whole number

therefore

The ordered pair C  does not make sense in the context of the situation

Step 4

point [tex]D(12,5)[/tex]

The point D is not on the triangular region

therefore

The ordered pair D  does not make sense in the context of the situation

Step 5

point [tex]E(14,7)[/tex]

The point E is on the triangular region, and the number of carnations and daisies are a whole number

therefore

The ordered pair E  makes sense in the context of the situation

The answer is

[tex]B(7,5)[/tex]

[tex]E(14,7)[/tex]

Final answer:

To find out how many apples Clint picked, we need to first determine how many apples Tim picked. Clint picked 13 apples.

Explanation:

To find out how many apples Clint picked, we need to first determine how many apples Tim picked. It is given in the question that Tim picked 5 fewer apples than Clint.

So, we can subtract 5 from Clint's total apples to get Tim's total apples.

Next, to find Clint's total apples, we can add the number of apples Tim picked to the 5 fewer apples. This will give us Clint's total apples.

Let's solve the problem step-by-step:

Clint picked 13 apples.

Tim picked 5 fewer apples than Clint, which is 13-5 = 8 apples.

Clint's total apples = Tim's apples + 5 fewer apples = 8 apples + 5 apples = 13 apples.

Therefore, Clint picked 13 apples.

Answer:

Graph given on the top right side.

Step-by-step explanation:

Nina used 5 L of water from her rain barrel to water her plants every week.

She did this until her rain barrel was empty.

So barrel will be empty in the time = [tex]\frac{75}{5}=15[/tex] weeks.

Nina started watering when rain barrel contained 75L of water.

We draw a graph with water remaining on y-axis and weeks to get the barrel empty on x-axis.

Line representing this process will start from a point (0, 75) on y-axis and will end at x-axis at the point (15, 0).

Therefore, graph given on the top right side of the options is the correct answer.

The correct graph is the graph at the top right of the image given.

From the graph, we see that the water remaining is represented on the y-axis while weeks it will take for the barrel to get empty is represented on the x-axis.

This means that, the first coordinate will be; (0, 75). 0 on the x-axis and 75 on y-axis.

Number of weeks it took for the barrel to be empty = 75/5 = 15 weeks

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When you approximate 6 raised to the power of 2.8, you get a result of approximately 177.83 (rounded to two decimal places).

To approximate the number 6 raised to the power of 2.8 using a calculator, follow these steps:

1. Turn on your calculator and make sure it is in standard mode.
2. Enter the base number, which is 6.
3. Look for the exponent key on your calculator, which is usually denoted by the "^" symbol or a button labeled "Exp" or "EE".
4. Enter the exponent value, which is 2.8.
5. Press the equals "=" button to calculate the result.

Now, let's calculate it together:

6^2.8 ≈ 177.827941

Therefore, when you approximate 6 raised to the power of 2.8, you get a result of approximately 177.83 (rounded to two decimal places).

Keep in mind that different calculators may vary slightly in their display of decimal places, so the exact result may differ slightly depending on the calculator you are using.

Answer:

306 seats

Step-by-step explanation:

The total number of seats in the auditorium is calculated by multiplying the number of rows by the number of seats in each row for both sets of rows, then adding both totals together. The total comes to 306 seats.

This is a mathematics question focused on multiplication and addition, which are key fundamentals in arithmetic, often covered in middle school. To find the total number of seats in the auditorium, you need to multiply the number of rows by the number of seats in each row, then add these numbers together.

For the first part, there are 9 rows with 18 seats in each. By multiplying these numbers (9 * 18), we get 162.
For the second part, there are 6 rows with 24 seats in each. By multiplying these numbers (6 * 24), we get 144.

Then, to find the total number of seats in the auditorium. we add these two numbers together (162 + 144), which equals 306. Therefore, there are 306 seats in the auditorium.

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The complete question is here:

In an auditorium there are 9 rows of seats with 18 seats in each row. There are also 6 rows of seats with 24 seats in each row. How many seats are there in the auditorium?

You may want to take this question over to the business category though I believe the answer is C.

The others show how your money is moving, how it's being spent, where you plan on spending it, how much you save, etc. Wouldn't think liability is one of those.

ANSWER TO QUESTION 1

Given

[tex]f(x)=5x^3+8x^2-7x-6[/tex]

We can use the factor theorem to determine if

[tex]x+2[/tex] is a factor of the polynomial or not.

According to this theorem, if [tex]x+2[/tex] is a factor of [tex]f(x)[/tex], then [tex]f(-2)=0[/tex].

How did we get the [tex]-2[/tex]?

We set [tex]x+2=0[/tex] and then solve to obtain [tex]x=-2[/tex].

So now let us plug in [tex]x=-2[/tex] in to the function to see if it will simplify to zero.

[tex]f(-2)=5(-2)^3+8(-2)^2-7(-2)-6[/tex]

[tex]f(-2)=5(-8)+8(4)+7(2)-6[/tex]

[tex]f(-2)=-40+32+14-6[/tex]

[tex]f(-2)=6-6[/tex]

[tex]f(-2)=0[/tex]

Since the result simplifies to zero, we conclude that

[tex]x+2[/tex] is a factor of

[tex]f(x)=5x^3+8x^2-7x-6[/tex]

ANSWER TO QUESTION 2

We have the function,

[tex]f(x)=5x^3+8x^2-7x-6[/tex]

We can use the remainder theorem to show that

[tex]x+1[/tex] is NOT a factor of the polynomial.

According to this theorem, if [tex]x+1[/tex] is not a factor of [tex]f(x)[/tex], then [tex]f(-1)\ne 0[/tex].

So now let us plug in [tex]x=-1[/tex] in to the function to see if it will simplify to non-zero number.

[tex]f(-1)=5(-1)^3+8(-1)^2-7(-1)-6[/tex]

[tex]f(-1)=5(-1)+8(1)+7(1)-6[/tex]

[tex]f(-1)=-5+8+7-6[/tex]

[tex]f(-1)=4[/tex]

[tex]f(-1)\ne0[/tex]

Since the result simplifies to a non zero number, we conclude that

[tex]x+1[/tex] is NOT a factor of

[tex]f(x)=5x^3+8x^2-7x-6[/tex]

x + 3 < 4x - 12                 or            4x - 12 < 20

-x         -x                                           +12  +12

     3 < 3x - 12                 or           4x        < 32

   +12       +12                               ÷4           ÷4  

    15 < 3x                       or              x        <  8

   ÷3    ÷3

    5 <  x

5 < x < 8

Graph:   5 o---------------o 8

Answer:

5<x<8

Step-by-step explanation:

x + 3 < (4x – 12) < 20

Solve the inequality

x + 3 < 4x – 12 < 20

We break the inequality

x+3<4x-12  and 4x-12<20

solve it separately

x+3<4x-12

subtract 4x on both sides

-3x +3< -12

subtract 3 on both sides

-3x < -15

divide by -3 on both sides

x> 5

4x-12<20

add 12 on both sides

4x <32

divide by 4

x<8

x>5  and x<8

so x lies between 5  and 8, 5<x<8

the graph is attached below

Let f (x) be a quadratic equation of the form:

[tex]x^2+bx+c\\[/tex]

Where b and c are real numbers.

So a generic procedure for completing squares is:

1) identify b

In this case b = 10

2) divide b between 2 and then square it

[tex](\frac{b}{2})^ 2\\[/tex]

[tex](\frac{10}{2})^ 2=25\\[/tex]

3) Add and subtract [tex]b ^ 2[/tex] in the equation

[tex]x ^2+10x + 25 - 25 = 50\\[/tex]

[tex]x ^ 2 + 10x +25 = 75\\[/tex]

4) Rewrite the equation as follows

[tex](x+\frac{b}{2})^2=c\\[/tex]

[tex](x + 5) ^ 2 = 75\\[/tex]

The number that you must add to both sides of the equation is number [tex]25 = (\frac{b}{2})^2[/tex]

The completed form of the equation is (x + 5)² = 75.

To solve the equation x² + 10x = 50 by completing the square, you need to add a specific number to both sides to create a perfect square trinomial on the left side. Here’s how you do it step-by-step:

Therefore, the number that must be added to both sides to complete the square is 25.

1. Yes they are congruent. You translate AB to move it over to CD. Specifically, shift 2 units to the right.

2. No, they are not congruent. QR is longer than MN. Congruent segments must be the same length.

3. No, they are not congruent. At first glance, they seem to be congruent after translation and reflection. However, XY is longer than UV, and those legs should be the same length for a pair of congruent triangles to be possible.

4. Yes they are congruent. You translate triangle ABC to move it over to triangle DEF (shift 1 to the left, 3 down).

Best Answer:

7.8

Whats an irrational number again?