What is the biggest lesson you have ever learned in your life?

Step-by-step explanation:

y = 200  - 3 *x  has slope = -3   this is downward sloping from L to R

Answer:downward sloping

Step-by-step explanation:

negative slope

The probability that all three girls are together is 0.03

Here we will use the string method

Consider 3 girls as a single element, and consider the other 3 boys as 3 separate elements

So total we have 4 element

So the arrangement of  4 elements is given by  4!

Arrangement of girls inside a single element given by 3!

So the way of getting all girls together is given by 4! × 3! = 24 × 6 =144

Total way of arranging 7 people given by 7! = 5040

Probability = Required cases / Total cases

= 144 / 5040

= 0.03

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Answer:

Im pretty sure they are

Step-by-step explanation:

Answer:A, C, and F

Step-by-step explanation: A requirement for a polygon is that its a polygon which basically means no gaps or missing sides and only A, C, and F serve those requirements

Answer:

Step-by-step explanation:

\(a^{m}*a^{n}=a^{m+n}\\\\\hx^{8} * hx^{-9} = h^{1+1} *x^{8 +(-9)}\\\\ =h^{2}x^{-1}\)

The problem needs determining the number of ones, fives, and twenties in a cashier's total of 30 bills, with more information regarding the relationship between twenties and ones and total value of the money.

To solve this, let's assign variables to represent the unknown quantities. Let's say the number of ones is x. Therefore, the number of twenties would be x + 9, according to the information given.

To calculate the total value of the money, we need to consider the value of each bill. A one-dollar bill has a value of $1, a five-dollar bill has a value of $5, and a twenty-dollar bill has a value of $20.

Now we can set up an equation to represent the total value:

x(1) + (x + 9)(20) + (30 - x - (x + 9))(5) = 351.

Simplifying the equation, we have:

x + 20x + 180 + 150 - 5x = 351,

36x + 330 = 351,

36x = 21,

x ≈ 0.583.

Since we cannot have a fraction of a bill, we must round the number of ones to the nearest whole number, which gives us 1. Therefore, there is 1 one-dollar bill.

The number of twenties can be found by substituting x into the expression x + 9, giving us 1 + 9 = 10 twenties.

Finally, to determine the number of fives, we subtract the total number of ones and twenties from the total number of bills: 30 - 1 - 10 = 19 fives.

Therefore, there is 1 one-dollar bill, 19 five-dollar bills, and 10 twenty-dollar bills in the cashier's total of 30 bills, amounting to a total value of $351.

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Answer:

add like terms the simplified answer is 2m+5p-3

Step-by-step explanation:

lmk if it is not supposed to be simplified

Answer:

6 possible outcomes

Step-by-step explanation:

To solve this problem, we have to make use of the Fundamental Counting Principle formula.

The formula counting principle states that when we are given two or more distinct events, in order to get the total number of possible outcomes, we multiply such events together.

In the above question, we are given two events.

Event 1

3 varieties of cheese: Cheddar, Gouda, and Swiss.

Event 2

2 styles of cheese: Shredded and Sliced

The possible outcomes for the variety and style of cheese = Event 1 × Event 2

= 3 × 2

6 possible outcomes.

These 6 Possible outcomes are listed below:

1) Cheddar cheese , Shredded

2) Cheddar cheese , Sliced

3) Gouda cheese , Shredded

4) Gouda cheese , Sliced

5) Swiss cheese , Shredded

6) Swiss cheese , Sliced

Answer: Check out the image attached below

y intercept = (0,15)

x intercept = (24,0)

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

Explanation:

The y intercept always occurs when x = 0.

Plug in x = 0 and solve for y.

5x+8y = 120

5(0)+8y = 120

8y = 120

y = 120/8

y = 15

The y intercept is located at (x,y) = (0,15)

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

On the flip side, the x intercept always happens when y = 0.

5x+8y = 120

5x+8(0) = 120

5x = 120

x = 120/5

x = 24

The x intercept's location is (x,y) = (24,0)

Refer to the diagram below to see how the boxes are filled in.

Make sure you use parenthesis when writing the ordered pairs.

The inequality w > 4 can be used to complete the following statements: The w in the inequality is the variable or unknown value being compared with the number 4. It represents an unknown quantity that is greater than 4.

The 4 in the inequality is the constant or known value that the variable w is being compared to. It is a number that is less than w.  

Inequalities use mathematical symbols to compare two values and express their relationship.

In this case, the inequality w > 4 uses the symbol ">" which means "greater than." The inequality indicates that w is larger than 4, so any value of w that is greater than 4 will make the inequality true.

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Answer:

4 < 7

Step-by-step explanation:

-7 + 11 =

11 - 7 =

4

-4 + 11 =

11 - 4 =

7

4 < 7

Answer:

4<=7

Step-by-step explanation:

-7<=-4

or, -7+11<=-4+11

Therefore 4<=7

Answer:

2

Step-by-step explanation:

The sample selected by the person conducting the survey is not an appropriate sample.

The reason is that the survey sample is limited to individuals with first names beginning with the letter A, which introduces a selection bias.

By excluding individuals with names that do not start with A, the sample is not representative of the company's entire customer base.

A good survey sample should be random and representative of the population it aims to study.

In this case, the sample should ideally include customers with different first names, covering a diverse range of demographics and preferences. By limiting the sample to only individuals with names starting with A, the survey results may not accurately reflect the opinions and preferences of the broader customer population.

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10 lbs of raisins contains 20% water by weight, so they contain

0.20 × (10 lbs) = 2 lbs

of water. This means the non-water portion of the raisins weighs 8 lbs. This weight stays the same throughout the drying process.

As grapes, they had a total weight of

8 lbs + w

where w is the water weight, and w happens to be 92% of this total weight. So

w = 0.92 × (8 + w)

Solve for w :

w = 7.36 + 0.92w

0.08w = 7.36

w = 92

Then the total weight of the grapes before they dried out is 100 lbs.

To determine which of the two graphs (Boxplot and Histogram) shows an outlier in the distribution of the quantitative variable, we need to understand the characteristics of outliers in each type of graph.

An outlier is a data point that significantly deviates from the rest of the data in a distribution. Here's how outliers are represented in Boxplots and Histograms:

a) Boxplot only: If an outlier exists in the distribution, it will be shown as a separate data point outside the whiskers (the lines extending from the box) in the Boxplot. The Boxplot provides a visual representation of the quartiles and any outliers present.

b) Both Histogram and Boxplot: If an outlier exists in the distribution, it may be evident in both the Histogram and the Boxplot. The Histogram shows the frequency or count of data points in each bin or interval, and an outlier can be observed as an extreme value far from the majority of the data. In addition, the Boxplot will display the outlier as mentioned above.

c) Neither: If there are no outliers in the distribution, neither the Histogram nor the Boxplot will show any data points or indicators outside the expected range. The data points will be distributed within the usual range of the distribution, and no extreme values will be present.

d) Histogram only: In some cases, an outlier may be noticeable in the Histogram but not explicitly shown as a separate data point in the Boxplot. This can happen when the outlier is not extreme enough to be considered as an outlier based on the specific criteria used to determine outliers in the Boxplot.

Without examining the actual graphs or having specific information about the data, it is not possible to determine with certainty which option (a, b, c, or d) is correct. To make a definitive determination, you would need to analyze the graphs and assess the presence of extreme values that deviate significantly from the majority of the data.

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The polynomial divided by (x + 3), with quotient is x² - x + 8, and remainder of -5 is f(x) = x³ + 2x² + 5x + 19

The polynomial division algorithm states that for two polynomials, f(x) and g(x), where the degree of g(x) a divisor is less than or equal to the degree of f(x), there exist unique polynomials, q(x) the quotient and r(x) the remainder, such that f(x) = g(x)q(x) + r(x) and the degree of r(x) is less than the degree of g(x). This is also known as synthetic division.

f(x) = (x + 3)(x² - x + 8) + (-5)

but expansion;

f(x) = x³ + 3x² - x² + 8x - 3x + 24 - 5

f(x) = x³ + 2x² + 5x + 19

Therefore, the polynomial f(x) = x³ + 2x² + 5x + 19 divided by (x + 3), will give the quotient x² - x + 8, and remainder of -5.

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Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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Answer:

  88 : 132 : 44

Step-by-step explanation:

You want 264 divided into parts in the ratio 2 : 3 : 1.

The ratio units add up to 2+3+1 = 6. So, the part represented by 1 ratio units is 264/6 = 44. The 2 ratio units represent 88, and 3 represent 132.

The division is ...

  2 : 3 : 1 = 88 : 132 : 44

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The Values corresponding to the ratio 2:3:1 for a total value of 264 are 88, 132, and 44, respectively.

To divide 264 in a ratio of 2:3:1, we need to find the respective parts that correspond to each ratio.

Let's break down the total value of 264 into three parts based on the given ratio of 2:3:1.

Step 1: Find the total number of parts in the ratio

The total number of parts in the ratio 2:3:1 is 2 + 3 + 1 = 6.

Step 2: Calculate the value of each part

To find the value of each part, we divide the total value (264) by the total number of parts (6):

Value of each part = Total value / Total number of parts

                  = 264 / 6

                  = 44

Step 3: Determine the value for each ratio component

Now, we can calculate the value for each component of the ratio:

- For the ratio component 2, the value is 2 parts * 44 = 88.

- For the ratio component 3, the value is 3 parts * 44 = 132.

- For the ratio component 1, the value is 1 part * 44 = 44.

Therefore, the values corresponding to the ratio 2:3:1 for a total value of 264 are 88, 132, and 44, respectively.

In summary, when dividing 264 in a ratio of 2:3:1, the values corresponding to each ratio component are 88, 132, and 44, respectively.

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Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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Using the probability mass function, the probability of getting heads more than 12 times is 0.465.

In the given question,

The probability of landing on heads P(H)=0.455

We toss the coin 27 times. So n=27

We have to find the probability of getting heads more than 12 times.

Then, the probability mass function should be

P(X=x)=

where x=no of heads in 27 tosses.

\(\[f(x)=\begin{cases}\binom{27}{x}(0.455)^x(0.545)^{27-x},&\text{if }x=0,1,2,........,27\\0,&\text{elsewhere}\end{cases}\]\)

So the probability;

P(X>12)=1-P(x≤12)

P(X>12)=1- \(\Sigma_{x=0}^{12}\) P(X=x)

From the binomial table

P(X>12)=1-0.535

P(X>12)=0.465

Hence, the probability of getting heads more than 12 times is 0.465.

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Answer:

Step-by-step explanation:

Further simplification:

Further simplification

Multiplication:

Hence, the answer to this question is '2³ × 3²'. If you want the further simplified answer, it is 72.

Hoped this helped.

\(BrainiacUser1357\)

The difference between the transverse motion and the head-on motion of the source in terms of the Doppler shift.

(a) To calculate the percentage shift when the source has a transverse motion, we can use the relativistic Doppler formula:

Percentage Shift = ((observed frequency - source frequency) / source frequency) * 100
The Doppler formula (15.64) mentioned takes into account the time dilation factor, which is given by:
Time Dilation Factor =\(1 / \sqrt(1 - (v^{2} / c^2))\)

where v is the velocity of the source and c is the speed of light.
For the transverse motion, the observed frequency can be calculated as:
Observed Frequency = Source Frequency * Time Dilation Factor

Now, we can substitute the values in the percentage shift formula:
Percentage Shift = ((Source Frequency * Time Dilation Factor - Source Frequency) / Source Frequency) * 100

(b) When the source approaches the observer head-on, the classical Doppler shift formula can be used:

Observed Frequency = Source Frequency * (c / (c - v))
Again, we can calculate the percentage shift:

Percentage Shift = ((Source Frequency * (c / (c - v)) - Source Frequency) / Source Frequency) * 100

By comparing these two percentage shifts, we can see the difference between the transverse motion and the head-on motion of the source in terms of the Doppler shift.

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Answer:

Yes, adjacent angles can be complementary. Complementary angles are defined as two acute angles with a sum that is equal to 90°.  if they add up to 90°. For example, a diagonal of a square will split the right angle into two equal angles; 45°+45°. In a right triangle, the altitude from a right angled vertex will split the right angle into two adjacent angles; 30°+60°, 40°+50°, etc. Those adjacent angles are complementary.

- Hope this helped :)

Answer:

2=k^1/x

3=k^1/y

12=k^1/z.......we get...

(atq)------k^1/x=k^1/y=k^1/z

(*a^m=b^m......b=a)

~1/x=1/y=1/z

1/z=1/y+1/x×2

(12=3+2×2)

1/z=1/y+2/x.....proved

Answer:

The correct answer is 351.

Step-by-step explanation:

We will use order of operations to solve this problem. Recall that order of operations, AKA PEMDAS, states we should simplify numeric expressions in the following order:

Parentheses

Exponents

Multiplication/Division (ordered left to right)

Addition/Subtraction (ordered left to right)

Begin by evaluating the parentheses:

\(2+7^3+4(9-6)^2\div6\\2+7^3+4(3)^2\div6\)

Simplify the exponents:

\(2+7^3+4(3)^2\div6\\2+343+4(9)\div6\)

Multiply:

\(2+343+4(9)\div6\\2+343+36\div6\)

Divide:

\(2+343+36\div6\\2+343+6\)

Add:

\(2+343+6\\345+6\\351\)

Step-by-step explanation:

the volume of the cube at the beginning is

edge³ = 16³ = 4096 cm³

after 1 minute it is 4101 cm³

that means the edge is then

cubic root(4101) = 16.00650777... cm

the surface area of a cube is

6×edge²

at the beginning it was

6×16² = 1536 cm²

after 1 minute (and the increased volume) it is

6×16.00650777...² = 1,537.249746... cm²

at that moment the surface area is increasing at

1.249745825... cm²/ minute

The axis of symmetry divides a shape into congruent halves, such as a parabolic curve or a quadratic function's graph. It is determined by the vertex or calculated using the formula -b/2a. The rank of the three functions are h(x), g(x), and f(x).

The axis of symmetry is a line that divides a two-dimensional shape or a three-dimensional object into two congruent halves.

The axis of symmetry is a line that divides a parabolic curve into two equal sections.

If the quadratic function's equation is given in vertex form, f(x) = a(x - h)2 + k, where the vertex is (h, k) and "a" is a coefficient, the axis of symmetry is the line x = h.

The graph of a quadratic function is symmetric about the axis of symmetry. A graph of a parabola is symmetrical about its axis of symmetry, which passes through its vertex.

For the quadratic function g(x) = 2x2 - 8x + 6, the axis of symmetry can be found using the formula x = -b/2a; the axis of symmetry is x = 2.

The axis of symmetry of f(x) = -3(x - 4)2 - 1 is x = 4, and the axis of symmetry of h(x) = x2 + 2x + 3 is x = -1 (Note: vertex form and standard form).

To sum up, based on the order of the axis of symmetry, the rank of the three functions is as follows: h(x), g(x), and f(x).

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Step-by-step explanation:

F(-1) THIS MEANS:

THEY WANT THE OUPUT OF THE FUNCTION F(X) WHEN X=-1

THIS MEANS YOU WILL PLUG THE VALUE -1 IN THE FUNCTION F(X) IN THE PLACE OF X AND SIMPLIFY

F(-1)=-2(-1)-3

F(-1)= 2-3

F(-1)= -1

HOPE THIS HELPS!!!

Answer:

E

Step-by-step explanation:

Side - The ticks symbolize congruency of the two sides

Angle - The markings state that the two angles are congruent

Angle - There is a pair of vertical angles

It's either SAA or AAS, but in this case, its AAS. E is the correct answer

Hope this helps

Happy new year

Answer:

D. ASA is the best answer

Step-by-step explanation:

ASA is the best choice because it makes the most sense for the image.

Explanation is in the picture I drew for it.

Answer:

D, 35

Step-by-step explanation:

7b, if b=5, is the same as 7(5), or 7*5, which equals 35.

Answer:

35

Step-by-step explanation:

7B = 5+5+5+5+5+5+5 which equals 35

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