What does m22 mean in matrix?

Answer:

x=3

Step-by-step explanation:

f(x) = -3x – 1

Let f(x) = -10

-10 = -3x-1

Add 1 to each side

-10+1= -3x-1+1

-9 = -3x

Divide each side by -3

-9/-3 = -3x/-3

3 = x

Answer:

4(3x+7)

Step-by-step explanation:

12x+28

Bot numbers are divisible by 4

4*3 *x + 4*7

Factor out the 4

4(3x+7)

Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

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Answer:

2:40 when they meet

Step-by-step explanation:

Answer:

Lin is between 150 and 160 cm

Step-by-step explanation:

The height is represented by the inequality :

h > 150 and h < 160

h > 150 - - (1)

h < 160 - - - (2)

Combining the two :

h > 150 means 150 is less than h but h is not upto 160

Thus, we have ;

150 < h < 160

This means height, h occurs between the range ; 150 cm and 160 cm

Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :

1.)

8 : 6

Reducing each side of the ratio by an half(1/2) :

8 × ½ : 6 × ½

4 : 3

2.)

15 : 3

Reducing each side of the ratio by ⅓:

15 × ⅓ : 3 × ⅓

5 : 1

3.)

12 : 6

Reducing each side of the ratio by (one-third) ⅓:

12 × ⅓ : 6 × ⅓

4 : 2

4.)

11 : 7

Increasing the proportion by 4 :

11 × 4 : 7 × 4

44 : 28

5.)

25 eggs : 3 hens

Increasing the number of hens by 3, then egg production will also triple

25 eggs × 3 : 3 hens × 3

75 eggs to 9 hens

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Answer:

£0.40

Step-by-step explanation:

Divide £40 by £3.30 to find the number she can buy

£40 ÷ £3.30 = 12.1212..

That is she can buy 12 light bulbs

cost = 12 × £3.30 = £39.60

change = £40 - £39.60 = £0.40

Since the given triangle is a right triangle, we can solve the missing side using the trigonometric functions of the angle.

The trigonometric function that involves the two legs of the triangle and not the hypotenuse is the tangent.

then,

solve the equation for x

The restaurant has 16 tables for 2 people and 22 tables for 4 people to accommodate a total seating capacity of 120 people.

Let's solve the problem using algebraic equations. Let's represent the number of tables for 2 people as "x" and the number of tables for 4 people as "x + 6" since there are 6 more 4-person tables than 2-person tables.

The seating capacity of a table for 2 people is 2, and the seating capacity of a table for 4 people is 4. The total seating capacity of all the tables can be calculated by multiplying the number of each type of table by their respective seating capacities.

Total seating capacity = (Number of tables for 2) * 2 + (Number of tables for 4) * 4

We know that the total seating capacity of the restaurant is 120, so we can set up the equation:

2x + 4(x + 6) = 120

Simplifying the equation:

2x + 4x + 24 = 120

6x + 24 = 120

6x = 96

x = 16

So, there are 16 tables for 2 people, and the number of tables for 4 people would be x + 6 = 16 + 6 = 22.

The restaurant has 16 tables for 2 people and 22 tables for 4 people to accommodate a total seating capacity of 120 people.

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Answer

Explanation

Given:

To determine whether the relation defines y as a function of x, we get the domain first.

Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.

Hence, the interval notation is:

We can use vertical line test to determine if it is a function as shown in the graph below:

As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:

Function; domain

The numeric values of the graphed function are given as follows:

To obtain the numeric values of a function from its graph, you can use the following steps:

When x = 1, the point with a closed circle is at y = 4, hence the numeric value is given as follows:

g(1) = 4.

When x = -12, we have that y = -10, hence the numeric value is given as follows:

g(-12) = -10.

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Answer:

\(Pr = 0.059049\)

Step-by-step explanation:

Given

\(p = 0.9\) --- probability of scoring

Required

Probability that his first miss is his 6th shot

Let q represent the event that he did not score.

Using complement rule:

\(q = 1 - p = 1 - 0.9 = 0.1\)

The event that his first miss is his 6th is represented as:

p p p p p q ---- That he scoress the first 5 attempts

So, the probability is:

\(Pr = p^5 * q\)

\(Pr = 0.9^5 * 0.1\)

\(Pr = 0.059049\)

The value of x in the similar polygons is 7.

Two polygons are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Therefore, the polygons WXY and STU are similar.

Hence, using proportion, let's find the value of x

3 / 9 = 4 / x + 5

cross multiply

3(x + 5) = 9 × 4

3x + 15 = 36

subtract 15 from both sides of the equation

3x + 15 - 15 = 36 - 15

3x = 21

divide both sides by 3

x = 21 / 3

x = 7

Therefore,

x = 7

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Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Answer:

46x + 108y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

(52x + 61y) + (-6x + 47y)

Step 2: Simplify

The distance travelled by the item is 56.1 meters

As per the information provided that the initial speed was 0 m/s, final speed when the item touched the ground is 33 m/s and the total time it took to reach ground from the top of leaning tower of Pisa is 3.4 s

we need to find out the distance travelled by the item

let the distance travelled by the item be x

it can de found out using the formula given in the question itself

by substituting the values in the equation

s= 1/2 (u+v)t

x = 1/2(0+33)3.4

x= 1/2(112.2)

x= 56.1 m

hence, the distance travelled by the item is 56.1 meters

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Answer:

t ≈ 11.7

Step-by-step explanation:

                  r

A = P (1 + -------)^(n)(t)

                  n

A = 5000

P = 2500

r = 0.06

n = 2

t = ?

                              0.06

5000 = 2500 (1 + ----------)^(2)(t)

                                  2

                              0.06

5000 = 2500 (1 + ----------)^(2)(t)

÷2500 ÷2500           2

             0.06

2 = (1 + ----------)^(2)(t)

                2

            log 2

------------------------ =  2t

             0.06

log (1 + ----------)

                2

            log 2

(1/2) ------------------ = 2t (1/2)

                    0.06

      log (1 + ----------)

                      2

11.72488612 = t

11.7 ≈ t

I hope this helps!

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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The Nitrogen is commonly considered as a Trigonal Pyramidal molecule .

In a Trigonal Pyramidal arrangement, there are three atoms attached to the central atom at the corners of a triangular plane, with the fourth atom attached above or below the plane.

This molecular geometry is commonly observed in compounds where the central atom has five valence electrons, such as nitrogen in its most common oxidation state of +3.

The Nitrogen in this oxidation state forms compounds like nitrogen triiodide (NI₃) and nitrogen trioxide (NO₃), which have a trigonal pyramidal geometry.

Therefore , Yes , Nitrogen is trigonal pyramidal .

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Answer:

4 cm

Step-by-step explanation:

Base 6 cm

Area 12 cm²

Formula:

h_b = 2 A/b

The correct option is B) FDE and GDH, as their corresponding angles have the same intercepted arc and, therefore, are congruent.

To determine which angles are congruent in circle D, we need to analyze the given information about the measures of minor arcs. Since minor arcs are measured in degrees, we can use the following properties:

1. When two arcs are congruent, their corresponding central angles are also congruent.

2. The measure of a central angle is equal to the measure of its intercepted arc.

Given these properties, let's examine the answer choices:

A) EDH and FDG: We cannot determine their congruency based solely on the measures of the minor arcs.

B) FDE and GDH: These angles have the same intercepted arc, so they are congruent.

C) GDH and EDH: The intercepted arcs for these angles are different, so they are not congruent.

D) GDF and HDG: These angles have the same intercepted arc, so they are congruent.

Therefore, the correct option is B) FDE and GDH, as their corresponding angles have the same intercepted arc and, therefore, are congruent.

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Answer:

1.

100-yard dash

If someone is running a 100-yard dash, they have a time limit or the time they took to run it. They are also going a certain speed. This makes it so that both speed and time could be on a graph representing a 100-yard dash.

Drag racing

The same thing as an 100-yard dash. If someone is driving in a drag race, they have a time limit or the time they took to run it. They are also going a certain speed. This makes it so that both speed and time could be on a graph representing a drag race.

Golf

When someone is golfing, they don't usually keep track of their time or speed. They keep track of the amount of hits someone does over the course of the game.

Skydiving:

People don't often keep track of skydiving factors. It may be a sport, but it is not a sport you can win. No point in keeping track of speed or time.

Fishing

I guess you could keep track of how long it takes for you to catch a fish. But why would you need speed? Maybe to keep track of how fast you reel in the fish.

Final answer:

You can decide. I am only here to give reasonings.

2.

The graph has a sudden drop of speed shown. This effects to choice of a sport by showing that the speed goes down in a fast manner, you should figure out why. The time seems to stay on track. Maybe a timer is running that isn't affected by the speed.

3.

Depends on what you pick... I can give you a start

Golf

Golf is represented on the graph. The speed is based on how fast the ball is going after it was hit and the time is representing how fast it is going overtime until it stops.

Skydiving

Skydiving is represented on the graph. The speed is based on how fast the person is falling. The time is representing how long they have been falling for. The spike is due to the person opening their parachute.

Fishing

The sport of fishing is represented on the graph. The speed represents how quickly the person reels in the fish. The time is representing how long it takes for them to reel in the fish. The spike is there due to the fact that they reeled it in slower because the fish is out of water and is being pulled in on land.

100-yard dash

The 100-yard dash is represented on the graph. The speed represents how quickly the person is running the course of time shown. The time represents how long they were running for. The spike shows they skidded to a stop due to lack of stamina and had to start a slow jog or walk.

Drag racing

The sport of drag racing is represented on the graph. The speed shows how fast the automobile is going over the course of the race. The speed is how long the care was moving for. The spike represents the sudden lack of gas and the car slowing down until it reaches a complete stop at the end.

Step-by-step explanation:

the domain of a function is always the interval or set of all valid input values (usually x, but here t).

the range is the interval or set of all valid result values (usually y or f(x), here h(t)).

as the graph shows, the function works only for values of t starting at 0 (at 0 seconds the object has 0 ft height, it is still on the ground and about to launch).

and it ends at t = 7.

obviously the object hits the ground after 7 seconds again after coming back down. so, the height function does not make any sense for values of t after that.

so, again, the domain is

0 <= t <= 7

Answer: Number of hardback = 32

Number of paperback = 117

Step-by-step explanation:

Let the number of hardback books be represented by x.

Let the number of paperback books be represented by y.

Based on the information given, we can form an equation which will be:

x + y = 149 ......... i

3.50x + 0.75y = 199.75 ...... ii

Multiply equation i by 3.50

Multiply equation ii by 1

3.50x + 3.50y = 521.50 ...... iii

3.50x + 0.75y = 199.75 .....iv

Subtract equation iv from iii

2.75y = 321.75

y = 321.75 / 2.75

y = 117

Number of paperback = 117

Since x + y = 149

x = 149 - y

x = 149 - 117

x = 32

Number of hardback = 32

Answer:

0

Step-by-step explanation:

This is called a absolute zero If I remember correctly

Answer:

0 -4/5+4/5=0

Step-by-step explanation:

-4/5 and 4/5 are the opposite so they cancel each other out

The total change in population during the first 3 days is 23 bacteria.

To find the total change in population during the first 3 days, we need to calculate the definite integral of the growth rate function P'(t) over the interval [0, 3].

The growth rate function is given by P'(t) = 6t² - 4t + 2, where t represents time in days.

To find the integral of P'(t), we can apply the power rule for integration. Integrate each term separately and add the results:

∫(6t² - 4t + 2) dt = 2t³ - 2t² + 2t + C

Now, we can find the total change in population during the first 3 days by evaluating the definite integral over the interval [0, 3]:

∫[0,3] (6t² - 4t + 2) dt = [2t^3 - 2t² + 2t] [0,3]

Substituting the upper limit (3) and lower limit (0) into the antiderivative, we get:

[2(3)³ - 2(3)²+ 2(3)] - [2(0)³ - 2(0)² + 2(0)]

Simplifying further:

[54 - 18 + 6] - [0 - 0 + 0] = 42

Therefore, the total change in population during the first 3 days is 42 bacteria.

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The length of the side of the triangle BC is 0. 97 cm

It is important to note that their are different trigonometric identities. These identities are;

From the information given, we have that;

cos θ = adjacent/hypotenuse

sin θ = opposite/hypotenuse

tan θ = opposite/adjacent

Then, we have;

sin 17 = BC/√11

cross multiply the values, we have;

BC = sin 17 (√11)

BC = 0. 97 cm

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Melinda sold 8 packages of coffee and 6 packages of pastries.

How many packages of coffee and pastries did Melinda sell?

Let's start by setting up equations based on the information given in the problem:

Let's assume that Melinda sold "x" packages of coffee and "y" packages of pastries.

From the problem, we know:

We can now use the equation x = y + 2 to substitute x in the second equation:

6x + 4y = 72

6(y+2) + 4y = 72

6y + 12 + 4y = 72

10y = 60

y = 6

So Melinda sold 6 packages of pastries. We can now use the equation x = y + 2 to find out how many packages of coffee she sold:

x = y + 2

x = 6 + 2

x = 8

Therefore, Melinda sold 8 packages of coffee.

To check that this is correct, we can plug in the values of x and y into the equation 6x + 4y = 72:

6(8) + 4(6) = 72

48 + 24 = 72

72 = 72

This confirms that Melinda made $72 in total sales for the fundraiser.

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Answer:

Step-by-step explanation:

30