1. Assume there are 5 red balls, 6 blue balls, and 4 green balls. If the balls are removed from the box one at a time, in how many different orders can the balls be removed assuming two balls of the same type are indistinguishable.
2. Give a recursive definition of the set of all even positive integers not divisible by 3.
Please write clearly so I can study from it! Try not to skip steps as much as you can.
Thank you!

well, keeping in mind that to draw a line all we need is two points, now, the one drawn already has many points let's pick two off of it, hmmm (-1,4) and (-6,-2).

Now, let's recall that for inverse functions, the domain of the original is the range of the inverse and the range of the original is the domain of the inverse, what does that mean? heheh, well, it simple means that for any point on the original that is say (a , b), the inverse will have a point at the flipped version of it of (b , a).  So if the orginal has the points aforementioned above, then the inverse will surely have the points of (4 , -1) and (-2 , -6), and we can just draw a line through those.  Check the picture below.

Sequence 1: 13, 16, 19, 22, 25, Sequence 2: 15, 13, 11, 9, 7 and Ordered Pair: (13, 15), (16, 13), (19, 11), (22, 9), (25, 7).

what is sequence?

An ordered list of numbers is a sequence. The three dots indicate that the established pattern should move forward.

A. Sequence 1: 13, 16, 19, 22, 25

Sequence 2: 15, 13, 11, 9, 7

Ordered Pair: (13, 15), (16, 13), (19, 11), (22, 9), (25, 7)

B. Sequence 1: 1, 5, 17, 53, 161

Sequence 2: 6, 15, 33, 69, 141

Ordered Pair: (1, 6), (5, 15), (17, 33), (53, 69), (161, 141)

C. Input (x) | Output

1 | 17,  2 | 19, 3 | 21, 4 | 23

D. Input (x) | Output

1 | 30, 2 | 15, 3 | 7.5

To find the outputs, we use the formula: output = 60 ÷ 2x.

For x = 1, output = 60 ÷ 2(1) = 30

For x = 2, output = 60 ÷ 2(2) = 15

For x = 3, output = 60 ÷ 2(3) = 7.5

E. Input (x) | Output

1 | 23, 2 | 30, 3 | 37, 14 | 102, 15 | 109, 16 | 116, 27 | 205, 70 | 498

To find the outputs, we use the formula: output = 16 + 7x.

For x = 1, output = 16 + 7(1) = 23

For x = 2, output = 16 + 7(2) = 30

For x = 3, output = 16 + 7(3) = 37

For x = 14, output = 16 + 7(14) = 102

For x = 15, output = 16 + 7(15) = 109

For x = 16, output = 16 + 7(16) = 116

For x = 27, output = 16 + 7(27) = 205

For x = 70, output = 16 + 7(70) = 498

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The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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Answer:

b

Step-by-step explanation:

Answer:

So if PT=TQ and TQ=7x-9

PT=5x+3=TQ=7x-9

5x+3=7x-9

minus 5x both sides

3=2x-9

add 9 both sides

12=2x

divide 2

6=x

PT=5x+3

PT=5(6)+3

PT=30+3

PT=33

PT=QT=33

x=6

with help from heliy02

Step-by-step explanation:

The unit rate of the relationship will be 10/3. The correct option is C.

The given equation is,

y = 10/3x + 8

The general form of an equation of the line is,

y = mx +  c

here, the slope will be 10/3

Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.

The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.

A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.

The unit relationship will be 10/3.

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Answer:

this isn’t a 100% guaranteed correct answer but maybe the second option saying “PQ and P’G’ are parallel”

(i’m doing the test rn)

Answer: PQ and P’Q’ are perpendicular (3rd option)

Step-by-step explanation: they’re both perpendicular

Answer:

$88

Step-by-step explanation:

All you would need to do is multiply 220 by the decimal translation for 60%(which is 0.6). You would then subtract that number from 220 because it's 60 percent off, giving you 88.

Answer: 536.94 g

Step-by-step explanation:

First, we know that:

mass = density*volume

We already know the density of the gold, this is:

19 g/cm^3

So we only need to find the volume of the gold medal.

We can think of the medal as a cylinder.

For a cylinder of diameter D and height H the volume is:

V = pi*(D/2)^2*H

where pi = 3.14

For the case of the medal, we have that:

D = 6cm

H = 1cm

Then the volume of the medal is:

V = 3.14*(6cm/2)^2*1cm = 28.26cm^3

Now that we know the volume of the medal, we can find the mass if we use the first equation:

Mass = (19 g/cm^3)*(28.26 cm^3) = 536.94 g

Answer:

the answer is 8. just think of it as subtraction. subtract +6 from +14. then you get the answer for +14+-6.

The probability of the card is as stated at 7/52, which simplifies it to 1/8.

Probability is the study of the possibility that an event or phenomenon will occur. It can be expressed numerically as a number between 0 and 1, where 1 implies a certain outcome of an event and 0 denotes an inconceivable chance of occurrence.

There are four cards that are under a 3 (the 2, the Ace, the King, and the Queen) and four cards that are above an 8 (the 9, the 10, the Jack, and the Queen). However, the Queen is both above an 8 and under a 3, so we need to subtract one from the total count.

Therefore, the number of cards that are either under a 3 or above an 8 is 4 + 4 - 1 = 7.

Therefore, the probability that the card is as stated is 7/52, which simplifies it to 1/8.

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Answer:

B v D v M ;

(B ٨ M) V (B ٨ D) V (M ٨ D) ;

B V (D ٨ M)

Step-by-step explanation:

Given :

B : Applicant present a birth certificate

D: Applicant presents a drivers license

M applicant presents a marriage license

1.)

This means that any one of the three must be presented :

Birth certificate OR Driver's license OR Marriage certificate

B v D v M

2.)

This means any two combination of the three certificates :

(birth certificate and marriage certificate) OR (birth certificate and driver's license) OR (marriage certificate and driver's license)

(B ٨ M) V (B ٨ D) V (M ٨ D)

3.)

That is birth certificate alone will suffice or a driver's incense and a marriage certificate

B V (D ٨ M)

Answer:

what is the problem? ummmmmmmmmmmmmmn weird

Step-by-step explanation:

I can't see it thats why

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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The figure labelled JKLM is a kite and the length ML is equal to 11.

A kite is a quadrilateral that have two pairs of equal length of sides and these sides are adjacent to each other. It can be viewed as a pair of congruent triangles with a common base.

The line JM bisects the kite into two congruent triangles, and thus;

the lengths ML and MK are equal.

ML = 5x - 4 and MK = 2x + 5 so;

5x - 4 = 2x + 5 {collect like terms}

5x - 2x = 5 + 4

3x = 9

x = 9/3 {divide through by 3}

x = 3

we substitute 3 for x;

ML = 5(3) - 4

ML = 15 - 4

ML = 11

Therefore, the value of length ML for the kite is equal to 11.

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The correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1

What is a Pythagorean identity?

The Pythagorean identity for sine and cosine states that for any angle θ,

sin²θ + cos²θ = 1

We can use the given values of sine and cosine to find the missing trigonometric function:

tan(θ) = sin(θ) / cos(θ) = (8/17) / (15/17) = 8/15

Now, we can use the Pythagorean identity to determine which of the given statements is true:

1 + (8/17)² = 1 + 64/289 = 353/289 ≠ (15/17)²

1 + (15/17)² = 1 + 225/289 = 514/289 ≠ (8/17)²

(8/17)² + (15/17)² = 64/289 + 225/289 = 1

Therefore, the statement that can be proven using the Pythagorean identity is:

(8/17)² + (15/17)² = 1

Hence, the correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1

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Answer:

D

Step-by-step explanation:

just took a random guess

If m = -5 or m = 3, the system of linear equations has no solution.

To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:

| 3 m |

| m+2 5 |

The determinant is

=  (3 x 5) - (m x (m+2))

= 15 - m^2 - 2m

= -(m^2 + 2m - 15)

= -(m+5)(m-3)

So, for the system to have no solution, the determinant must be zero, so we have:

-(m+5)(m-3) = 0

This gives us two values of m: m = -5 and m = 3.

Thus, if m = -5 or m = 3, the system of linear equations has no solution.

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Part (d)

If xy > 0, then the two items x and y must have the same sign.

Examples where x,y are both positive

Examples where x,y are both negative

This places us in either the first quadrant or third quadrant (Q1 and Q3)

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

Part (e)

If y < 0, then we have points like (2,-5) and (1,-7). The x coordinate doesn't matter as long as the y coordinate is negative.

Visually speaking we are below the x axis. This places the point in Q3, Q4, or on the negative y axis. The point cannot be on the x axis. You can think of this point as being underground or underwater.

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

Part (f)

If x = 0, then the point is on the vertical y axis. Recall that y intercepts always occur when x = 0. Two examples would be (0,4) and (0,12).

Answer:

(d)  The set of all points in quadrants I and III (x and y have the same sign).

(e)  The set of all points below the x-axis.

(f)  The set of all points on the y-axis.

Step-by-step explanation:

The Cartesian plane is divided into four quadrants.  

Quadrant I is the upper right quadrant and the rest follow in a counterclockwise direction.

Part (d)

For xy > 0, x and y should either both be positive or both be negative, i.e. have the same sign.

Therefore, the description that satisfies the given condition is:

Part (e)

For y < 0, y is always negative.

Quadrants III and IV are below the x-axis.

Therefore, the description that satisfies the given condition is:

Part (f)

The only place where x = 0 is the y-axis.

Therefore, the description that satisfies the given condition is:

Answer and Step-by-step explanation:

Answer is in picture.

The angles of a triangle add up to 180.

There are TWO 9x + 1 because they are the base angle pairs.

I hope this helps!!

#teamtrees #PAW (Plant And Water)

Answer:

$285

Step-by-step explanation:

I multiplied 2.75 by $260 and got $715. Then I did $1,000 minus $715 which equals $285.

Answer:

\(x = 14\)

Step-by-step explanation:

Given

\(COP = 11x- 17\)

\(TOD = 9x + 11\)

Required

Determine x

Since COP and TOD are vertical angles, we have:

\(COP = TOD\)

\(11x - 17 = 9x + 11\)

Collect Like Terms

\(11x-9x = 11+17\)

\(2x = 28\)

\(x = 14\)

Answer:

¿que? no tiene sentido

Answer:

The cube root of 27 is expressed as ∛27 in radical form and as (27)⅓ or (27)0.33 in the exponent form.

Have a good day!

Answer:

110°

Step-by-step explanation:

m∠6 = m∠2 because they are corresponding angles and have the same measure.

therefore, m∠6 = 110°

hope it helps :)

mark brainliest!!

Answer:

what exactly do i need to do ?????

Step-by-step explanation:

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

0.75 Of a cup

Step-by-step explanation:

Answer:

0.75 cups

Step-by-step explanation:

1 fluid ounce is 0.125 cups (1/8th of a cup)

Hence,

6 fluid ounces = 0.125 x 6 = 0.75 cups