Abby is adopting kittens from the pet store. if there are 18 kittens, how many ways can she choose 2 kittens? **the answer isnt 9 or 32**​

In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".

They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.

They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.

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Answer:

$24/5 weeks = $4.80 saved per week.

$4.80 is 30% of what number?.....

4.8=0.3*X....... 4.8/0.3=X ........X=16

So, Joseph receives $16 per week.

Step-by-step explanation:

The vectors (1, -1), (1, 2), and (2, 1) are linearly dependent because they can be expressed as linear combinations of each other.

To show that the vectors are linearly dependent, we need to demonstrate that at least one of them can be expressed as a linear combination of the others. In this case, let's express the vector (2, 1) as a linear combination of the other two vectors.

We can write the vector (2, 1) as follows:

(2, 1) = a(1, -1) + b(1, 2)

Expanding the right side, we have:

(2, 1) = (a + b, -a + 2b)

By comparing the corresponding components, we get the following system of equations:

2 = a + b

1 = -a + 2b  

Solving this system of equations, we find that a = 1 and b = 1. Therefore, the vector (2, 1) can be expressed as a linear combination of the vectors (1, -1) and (1, 2), indicating that the three vectors are linearly dependent.

Since we have found a nontrivial solution to the equation, it confirms that the vectors (1, -1), (1, 2), and (2, 1) are linearly dependent.

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Answer:

Step-by-step explanation:

The easiest way to think about increasing area is by taking a square, if you double the dimensions, let's say they were 1 by 1 and then was made into a 2x2 square, you can fit four of the original cube (1x1) into the 2x2. So when the dimensions are doubled the area is quadrupled.

Even easier shortcut:

Take the cube idea, when the dimensions are messed with for anything, (works for volume too) always think of the smaller piece as 1x1 or 1x1x1. Then if the dimensions are double make it 2x2 or 2x2x2. If the dimensions are tripled then do 3x3 or 3x3x3, etc... 1x1=1x1x1, they are both equal to 1. So think of that as the numerator. the 2x2 in this case is equal to 4 so the smaller piece is 1/4 of the bigger one. Shown with volume if you double the dimensions of a cube that was 1x1x1 into 2x2x2. 1x1x1 still equals 1 so that's still the numerator and 2x2x2 is equal to 8 so the 1x1x1 cube is 1/8 of the 2x2x2, in other words you can fit eight 1x1x1 cubes into the 2x2x2 cube.

Hope this helps with area and volume.

Answer: The expression that represents the amount of money John has collected is:

5 * m

This expression calculates the amount of money John collects by multiplying the number of members (m) by the amount of money collected per member ($5).

Step-by-step explanation:

Answer:

Where’s the problem

Step-by-step explanation:

Answer:

x would equal 3.5

Step-by-step explanation:

-2(3.5)+3

-7+3

4

The variables examined in the study show the number of hospital visits for cooking-related knife injuries and their frequency during major holidays. The data compiled from emergency departments shows that there is a significant increase in the number of hospital visits for such injuries around major holidays.

This suggests that there may be a correlation between the holidays and the use of knives in cooking, possibly due to increased meal preparation and cooking during these times. Other variables that could be examined in further studies include the types of knives and cooking equipment used, the types of foods being prepared, and the demographics of those who sustain these injuries.

Variables refer to any characteristic, quantity, or attribute that can be measured and that can fluctuate or vary. Variables are of two types:

An independent variable is one that is thought to influence the dependent variable, which is the characteristic or response that is being measured.

The variables examined in the study indicate that the number of hospital visits for cooking-related knife injuries increases around major holidays. This implies that there is a direct relationship between cooking and knife injuries on major holidays. As a result, measures must be put in place to reduce the risk of knife injuries during the holidays. This includes the creation of awareness campaigns and the promotion of safety in the kitchen.

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Answer:

y ≥ -(1/3)x + 2

Step-by-step explanation:

First, we can identify the type of inequality present. We can notice two things about the graph:

From these observations, we can determine that the correct sign will be greater than or equal to: \(\ge\).

Next, we can find the equation of the boundary line in slope-intercept form. We can see that its slope is:

slope = rise / run

slope = -1 / 3

slope = -1/3

And, the line's y-intercept is at:

y = 2

So, the equation of the boundary line is:

y = mx + b

y = -(1/3)x + 2

Hence, the inequality is:

y ≥ -(1/3)x + 2

Answer:

Perimeter = 18

6 + 6 + 3 + 3=18

Area= 18

6 x 3 = 18

Step-by-step explanation:

I hope this can help!!!

Answer:

40°

angles remain the same in dilations

The electrical circuit that powers inverters is high-voltage and capable of shocking you severely. When there is no current flowing, light coming into the device via the LCD's forward will bounce off the mirror after passing through into the LCs and polarized glass.

What kind of LCD display has the best color?

IPS (In Plane Switching) screens have been typically considered to be the greatest overall LCD technology for quality images, color accuracy, and picture quality. They work well for visual communication and some other tasks requiring precise and reliable color reproduction. Backlight issues frequently result from water damage. The LCD plug connector junction will corrode if water is placed on it.

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                                      "Complete question"

Which LCD components are powered by a high-voltage electrical circuit that can give you a nasty shock?

Select one:

a. CCFL frontlights

b. Convergers

c. Low-voltage b-nodes

d. Inverters

Answer:

400

Step-by-step explanation:

12000 X 60%=7200-parents

12000-7200=4800-owen

4800/12=400 is what owen will save monthly

Answer: D

On the first part, if it decreases by 17% each year, that means its value is 83% of what it was. You forgot to say that the car was bought 2 years ago.

Thus, the answer is D

For the second, just use the same logic to get 18000*0.75^4

The function that estimated the value of Jose's car after x years since buying the car is \(18000\times 0.83^x\)

Jose bought a new car 2 years ago for $18,000. The value of his car decreased exponentially by 17% and is now valued at about $12,400.

Since it is decreased by 17% so it is (100 - 0.17) = 83%

So, the equation should be \(18000\times 0.83^x\)

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The value of the rate of change when we put a glass of water at room temperature is 1/3.

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one thing by the equal amount of change in another.

The connection defining how one quantity changes in response to the change in another quantity is given by the rate of change formula. The formula for calculating the rate of change from y coordinates to x coordinates is y/x = (y2 - y1)/. (x2 - x1 ).

Rate of change  = change in temperature / time

= 10-5/15

=5 / 15

= 1/3

Therefore, the Rate of change is 1/3.

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Complete question;

What is the value of the rate of change when we put a glass of water at room temperature in the freezer for 15 minutes, what is its temperature at 5 minutes and then at 10 minutes.

The composite function g(x) is g(x) = 12x/(2x - 1)

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

f(x) = x/(x - 6)

f(g(x)) = 2x

This means that

f(g(x)) = g(x)/(g(x) - 6)

So, we have

g(x)/(g(x) - 6) = 2x

Rewrite as

y/(y - 6) = 2x

This gives

y = 2x(y - 6)

Open brackets

y - 2xy = -12x

This gives

y = -12x/(1 - 2x)

So, we have

y = 12x/(2x - 1)

Hence, the function g(x) = 12x/(2x - 1)

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Answer:

Between 5 and 5 1/2 inches

Step-by-step explanation:

Step-by-step explanation:

1/81 gallon for 1/4 mile.

what do I need to multiply 1/81 with to get 1 gallon ?

it is simple, right ? i need to multiply it by 81 to get 1 gallon.

in order to keep the relationship (ratio) unchanged, I need to multiply the other part (1/4 mile) with the same factor :

1/4 × 81 = 81/4 = 80/4 + 1/4 = 20 1/4 miles

so, at this rate, that car can travel 20 1/4 miles using 1 gallon of gas.

Answer: 64

Step-by-step explanation:

When you come across question of evaluation, substitute all the variables.

-----------------------------------------------------------------

Given

 4m+23+np-3

Substitute value m, n, and p

=4(7)+23+(2)(8)-3

Use PEMDAS to simplify

=28+23+16-3

=51+16-3

=67-3

=64

Two students move through each line per minute.

There are 5 lines and 600 students moved through them in 1 hour. Find out how many students go through each line in that hour:

= Number of students / Number of lines

= 600 / 5

= 120 students per line per hour

If 120 students move in each line every hour, and an hour is equivalent to 60 minutes, the number of student moving per minute is:

= Number of students / Number of minutes in an hour

= 120 students /  60 minutes

= 2 students per minute

There are therefore 2 students moving in every line per minute.

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Step-by-step explanation:

x = number of years after 2007.

x = 0 for 2007.

PC(x) is a function that calculates how many pounds of chicken the average adult will eat every year (x) after 2007 (up to 2012).

PC(x) = 0.8x + 52

0 <= x <= 5

in 2007 (x = 0) the average adult ate 52 pounds.

in every year after 2007 until 2012 0.8 pounds get added to the amount of the previous year.

so, in 2012 (x = 5) the average adult will eat

PC(5) = 0.8×5 + 52 = 4 + 52 = 56 pounds of chicken.

Answer: One face of a cube has a perimeter of a+a+a+a=4a.

The required perimeter of one of the faces of the cube is 4 units.

Given that,
A cube has a volume of 1 cubic unit. what is the perimeter of one of its faces is to be determined.

Perimeter is the measure of the figure on its circumference.

A cube is defined is a regular 3-dimensional structure whose dimension at every section is identical.

Here,
According to the question,
Area of the square = 1 cubic unit
a² = 1
a = 1
Now,
The perimeter of the square = 4a
                                                = 4 (1) = 4 units

Thus, the required perimeter of one of the faces of the cube is 4 units.

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Answer:

it is 50

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Justin must drive at least 67.2 miles per hour (rounded to one decimal place) to average 64 miles per hour for the whole trip, including the 15-minute stop

To average 64 miles per hour for the whole trip, Justin must complete the 144-mile distance and the 15-minute stop in a total of 144 minutes (2 hours and 24 minutes) or less.

If we subtract the 15 minutes stop from the total time, Justin will have to cover the 144 miles in 129 minutes (2 hours and 9 minutes) or less.

To determine the required speed, we can use the formula:

\(speed = \frac{distance }{time}\)

So,  \(speed = \frac{144 miles}{129 minutes}=1.12 miles per minute\)

To convert this to miles per hour, we can multiply by 60:

1.12 miles per minute x 60 minutes per hour = 67.2 miles per hour

Therefore, Justin must drive at least 67.2 miles per hour (rounded to one decimal place) to average 64 miles per hour for the whole trip, including the 15-minute stop.

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Answer:

  (X_1, X_2) = (2, 4)

  Z = 110

Step-by-step explanation:

You want a graphical solution to ...

  minimize Z = 15 X_1 +20 X_2

  subject to ...

A graph of the reverse of the inequalities is attached. This makes the feasible solution region be white (rather than shaded multiple times), so its vertices are easier to see. (The dashed lines are part of the solution space.)

The vertex of the solution space that minimized the objective function is (X_1, X_2) = (2, 4). The minimum value of Z is 110.

The statement |A ∪ B ∪ C| = |A| + |B| + |C| is true, which means the statement is proven.

Let A, B, and C be sets with finite cardinalities that satisfy A ∩ B ∩ C = ∅.

We have to prove that |A ∪ B ∪ C| = |A| + |B| + |C|.

The addition law of sets states that the cardinality of a union of two finite sets is equal to the sum of the cardinalities of the sets minus the cardinality of their intersection.

Thus, we get: |A ∪ B ∪ C| = |A ∪ B| + |C| − |(A ∩ B) ∪ C| = (|A| + |B| − |A ∩ B|) + |C| − |(A ∩ B) ∩ C| = |A| + |B| + |C| − |A ∩ B ∩ C|.Since A ∩ B ∩ C = ∅, we get |A ∪ B ∪ C| = |A| + |B| + |C|.

Thus, the statement is proven.

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Answer:

Approx 67.24%

Step-by-step explanation: If the Atlanta Hawks' free-throw percentage is 82%, the probability that a player will make one free throw is 0.82.

To find the probability that a player will make two free throws in a row, we can use the multiplication rule of probability which states that the probability of two independent events occurring together is the product of their individual probabilities.

Therefore, the probability of a player making two free throws in a row can be calculated as follows:

P(making two free throws in a row) = P(making first free throw) x P(making second free throw)

P(making two free throws in a row) = 0.82 x 0.82

P(making two free throws in a row) = 0.6724 or 67.24%

Therefore, the probability that a player for the Atlanta Hawks will make two free shots in a row is approximately 67.24%

There are 99 students who speak all three languages: Mandarin, Japanese, and Korean. The minimum number of students who speak all three languages is 99.

The method used to solve this problem is based on set theory, which is a branch of mathematics that deals with the study of sets, their properties, and their relationships with one another. Specifically, the principle of inclusion-exclusion, which is used in this problem, is a counting technique that is often used in combinatorics and probability theory, which are also branches of mathematics.

Let X be the number of students who speak all three languages.

Then we have:

Number of students who speak only Mandarin = 174 - 102 - 81 - X = -9 - X (since there cannot be a negative number of students)

Number of students who speak only Japanese = 139 - 102 - 71 - X = -34 - X (since there cannot be a negative number of students)

Number of students who speak only Korean = 112 - 81 - 71 - X = -40 - X (since there cannot be a negative number of students)

Number of students who speak only one language = -9 - X + (-34 - X) + (-40 - X) = -83 - 3X (since there cannot be a negative number of students)

Total number of students who speak at least one language = 268 - 37 = 231

Therefore, the number of students who speak all three languages is:

Total number of students who speak at least one language - Number of students who speak only one language - Number of students who do not speak any of the three languages

= 231 - (-83 - 3X) - 37

= 297 + 3X

Since the number of students who speak all three languages cannot be negative, we have:

297 + 3X ≥ 0

3X ≥ -297

X ≥ -99

Therefore, the minimum number of students who speak all three languages is 99.

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