Sketch the graph of y = (x + 3)2 – 4 and identify the axis of symmetry.

The roots of the equation L2 - L - 1 = 0 are 1 + √2/2 and 1 - √2/2. The first root, 1 + √2/2, is equal to the golden ratio, φ.

Using the quadratic formula, we find that the roots of the equation are given by

x = −b ± √b2 − 4ac/2a

For this equation, a = 1, b = −1, and c = −1.

Using the quadratic formula, we find that the roots of the equation are given by

x = −(−1) ± √(−1)2 − 4(1)(−1)/2(1)

x = 1 ± √2/2

Therefore, the roots of the equation are x = 1 + √2/2 and x = 1 − √2/2.

Since one of the roots is x = 1 + √2/2, this is equal to (1 + √2)/2, which is equal to the golden ratio, φ.

The roots of the equation L2 - L - 1 = 0 are 1 + √2/2 and 1 - √2/2. The first root, 1 + √2/2, is equal to the golden ratio, φ.

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Answer:

Step-by-step explanation:

Solving all as well since it doesn't ask what is exactly required

1. The sum of a number (a) and 13 is 14 minus the same number (a).

2. The product of a number (c) and 7 is 42 divided by the same number (c).

3. A number (f) less than 27 is 82 divided by that same number (f).

4. 22 less than a number (m) is 19 times that same number (m).

Answer:

option. b

Step-by-step explanation:

.0.01m........

Answer:

B. 2(5+3)

Step-by-step explanation:

PEMDAS

2(5+3)

5+3= 8

2 × 8 = 16

10 + 6 = 16

Answer: $15/week

Step-by-step explanation:

If you started with $0 and saved money at a constant rate for 8 weeks, ending up with $120, you can find out how much you saved each week by dividing the total amount saved by the number of weeks.

Total amount saved: $120

Number of weeks: 8

To find the amount saved per week:

$120 / 8 = $15

So, you saved $15 per week at a constant rate for 8 weeks.

Answer: $15 per week

Step-by-step explanation:

Okay, so basically this problem is asking how much money would you save each week for a period of 8 weeks and your total at the end is $120.

All one must do is take $120 then divided it by 8 weeks.

120/8 = 15

So therefore, you make 15 dollars a week at a constant rate.

Using greater than sign or number line, we can show the numbers from greatest to least as 35/4 > √72 > 25/3 > 8.4

To arrange numbers from greatest to least, you would first find the largest number and place it at the beginning of the list. Then, you would compare the remaining numbers and place the next largest number after the first. You would continue this process until all of the numbers are arranged in order from largest to smallest.

In this problem, we can arrange the number from greatest to least and assigning the greater than sign to show the decrease in number. We dan also use the concept of number line to show how the numbers are placed.

From the data given,

35/4 > √72 > 25/3 > 8.4

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Answer: the real answer for this will be p=3/2 and s=5

Step-by-step explanation: here

2p=3

2p/2=3b/2 divide both sides by 2

P=3/2

3/2 for p in s=5

S=5

S=5

Answer P=3/2 and s= 5

Got it

Hey there!

“Evaluate 2ps for p=3 and s=5”

• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!

• New equation: 2(3)(5)

2(3)(5)

2(3) = 6

6(5) = 30

Answer: A. 30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

AAA

Step-by-step explanation:

There's no angle angle angle (AAA) because all triangle's angles add up to 180

The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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At the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.

The given polynomial expression:

y = 2x³ + x² - 7x - 6

The zeros of a polynomial equation are the values of x at which the given function equals zero.

The first zero of the given function is at x = 2;

f(2) = 2(2)³  + (2)²  - 7(2)  - 6

     = 16   +  4  - 14  - 6

     = 20   -    20  =  0

The second zero of the given function is at x = -1;

f(-1)  = 2(-1)³  + (-1)²   - 7(-1)   -   6

      = -2    +   1   +   7   -  6

      = - 8  +  8 =  0

The third zero of the given function is at x = -1.5;

f(-1.5)  = 2(-1.5)³   +  (-1.5)²   -  7(-1.5)   -  6

          = - 6.75    +  2.25   + 10.5    -  6

          = - 12.75  + 12.75  = 0

The zeros of the given function include;

----(-1.5)-------(-1)------------------------------(2)--------

Therefore, at the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.

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Answer:

24

Step-by-step explanation:

thats the answer

Answer:

y=a right angle triangle

y=50

Step-by-step explanation:

140-90

=50

if u add 90 and 50 it totals up to 140

they are vertically opposite triangles hope that helps

Answer:

your answer would be 15.8 Inches

Step-by-step explanation:

I simply divided the Inches(63.2) by how many pavers there are on one side(4)

That gives me an answer of 15.8 Inches each.

The given statement is True because If the sample mean is close to the population parameter, it suggests representative sampling regarding the variable of interest, although other factors should be considered too.

When the sample mean closely approximates the population parameter, it indicates that the sample is capturing the central tendency of the population. The mean is a measure of central tendency that reflects the average value of the variable of interest in the population.

If the sample mean is similar to the population mean, it suggests that the sample is a good representation of the population in terms of that particular variable.

However, it is important to note that representativeness is a relative concept. A sample may be considered representative in one sense but not necessarily in all aspects. Other factors, such as the sampling method, sample size, and sampling bias, also influence the representativeness of a sample.

In summary, when the obtained mean of the observations in a research study is close to the population parameter, it provides evidence that the sample is representative of the target population to some degree, indicating that the sample captures the central tendency of the population for the variable under investigation.

However, representativeness should be assessed in consideration of other factors as well.

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Answer:

2

Step-by-step explanation:

It just is

Answer:

2

Step-by-step explanation:

convert into improper fractions: 7/2 / 7/4

multiply by the reciprocal: 7/2 * 4/7 = 28/14

divide: 28/14= 2

Answer:

it's binomial...............................

If the diagonal of a rhombus id x-4d and x+ 4d then the area of rhombus is (x² - 16d²) / 4 unit²

In a rhombus, the diagonals are perpendicular bisectors of each other, and they divide the rhombus into four congruent right triangles. Let's call the length of one half of the diagonal "a" and the length of the other half of the diagonal "b". So we have:

a = (x - 4d) / 2

b = (x + 4d) / 2

The area of a rhombus can be calculated as half the product of its diagonals, or as half the product of its side lengths:

Area = (1/2) × a × b × 2

Area = a × b

Substituting the expressions for "a" and "b" from above, we get:

Area = [(x - 4d) / 2] × [(x + 4d) / 2]

Area = (x² - 16d²) / 4

Therefore, the area of the rhombus is (x² - 16d²) / 4 square units.

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Answer:

Answer attached

Step-by-step explanation:

Answer:

Statement 1 2 and 4

Step-by-step explanation:

To find an unbiased estimator of the probability density function (pdf), one must first determine the expected value of the estimator.

An estimator is unbiased if its expected value is equal to the true value of the parameter being estimated.

Let f(x|θ) be the pdf of a random variable X, where θ is a parameter of the distribution. To estimate the pdf, one can use a kernel density estimator (KDE), which is a non-parametric method that estimates the pdf using a kernel function. Let ƒ(x) be the estimated pdf using the KDE.

To find an unbiased estimator of the pdf, we need to calculate the expected value of ƒ(x) and set it equal to f(x|θ). This can be done by integrating ƒ(x) over the entire range of X:

∫ ƒ(x) dx = ∫ K((x - Xi)/h) dx

where K is the kernel function, Xi is the ith observation, and h is the bandwidth parameter.

To make this estimator unbiased, we can multiply it by a constant that ensures that its expected value equals the true pdf. This constant is typically chosen to be the reciprocal of the integral of the kernel function over the entire range of X:

ƒ^(x) = (1/nh) ∑ K((x - Xi)/h) / ∫ K(u) du

where n is the sample size.

This estimator is unbiased because its expected value is equal to the true pdf. However, it may not be the most efficient estimator in terms of mean squared error or other criteria.

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Answer:

B 14

explanation:

i did the math

The perimeter of the given triangle is 14 units, so the correct option is B.

The perimeter of the triangle will be equal to the sum between the distances between the given points.

Remember that the distance between two points is (x₁, y₁) and (x₂, y₂) is:

\(d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\)

For the pair of (1,3), (2,-3): the distance is:

\(d = \sqrt{(2 - 1)^2 + (-3 - 3)^2} = 6.08\)

For the pair (1, 3) , (-1, -1) the distance is:

\(d = \sqrt{(-1 - 1)^2 + (-1 - 3)^2} = 4.5\)

For the pair (2, -3) and (-1, -1) the distance is:

\(d = \sqrt{(2 - (-1))^2 + (-3 - (-1))^2} = 3.6\)

Then the total perimeter, rounded to the next whole number is:

6.08 + 4.5 + 3.6 = 14

So the correct option is B.

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Answer:

28

Step-by-step explanation:

You can split the figure up

3*4/2 = 6

3*4/2 = 6

8*2 = 16

6+6+16 = 28

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

We have,
Vermont had 65.3% of respondents who said yes to exercising for at least 30 minutes a day, 3 days a week.

To find the sample proportion, you can convert the percentage to a decimal by dividing the percentage by 100.

Step 1:

Convert the percentage to a decimal.
65.3 / 100 = 0.653

Thus,
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

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Except than x = 1, all real numbers fall within the function's domain.

Since there are no limitations on what we can substitute for x, the domain of a function, f(x), is all real numbers because any real numbers would make f(x) a defined function. As a result, when this is not the case, the domain of a function, f(x), is not all real numbers.

The rational function r(x) = 2x/(x-1) is defined as follows.

So, we set the denominator to zero and solve for x in order to determine the domain of r(x):

x - 1 = 0

x = 1

Hence, x = 1 is the only value of x that causes the denominator to equal 0. R(x) therefore has a domain of all real numbers other than x = 1.

We can express the domain as follows in interval notation:

(-∞, 1) U (1, ∞)

Except than x = 1, all real numbers fall within the function's domain.

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Question:

Which of the following correctly describes the domain of the function shown below?

r(x) = 2x x-1

A. {x:x0}

B. {x: x = 1}

c. x all .real .numbers}

D. xx1}

Answer:

(-1,-9) PLEASE MARK BRAINLIEST!!!!!

Step-by-step explanation:

k(-4,-6) , m(-7,-3)

-7+4=-3

-3+6=3

-4+3=-1

-6-3=-9

(-1,-9)

The coordinate of L is  (-1,-9) if the k is the midpoint of LM and k (-4,-6) and M (-7,-3).

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

\(\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|\)

It is given that:

if k is the midpoint of LM and k (-4,-6) and m(-7,-3).

It is required to find the coordinate of L:

Using the mid-point theorem:

Let the coordinate of L is (x, y)

(x - 7)/2 = -4

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

x - 7 = -8

x = -8 + 7

x = -1

(y - 3)/2 = -6

y - 3 = -12

y = -12 + 3

y = -9

The coordinate of L is  (-1,-9)

Thus, the coordinate of L is  (-1,-9) if the k is the midpoint of LM and k (-4,-6) and M (-7,-3).

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Answer:

more likely

Step-by-step explanation:

3/4 is 0.75 or 75%. I would describe it as likely.

elimination-

3/4 is not equal to 1 or 0.5 or 0. It is also not equal to 0.25

The total number of balls in a bag will be 4 in which 3 balls are red and 1 ball is blue.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

The probability of the event is 3/4.

Let the total number of balls be 4 of two colors that are red and blue and the probability of red color be 3/4.

There will be a total of 4 balls in the bag, 3 of which will be red and 1 blue.

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The name for a data value that is far above or below the rest is called an outlier.

An outlier is an observation that deviates significantly from other observations in a dataset. It is an extreme value that lies outside the typical range of values and may have a disproportionate impact on statistical analyses and calculations. Outliers can occur due to various reasons, including measurement errors, data entry mistakes, or genuine rare events. Identifying and handling outliers appropriately is important in data analysis to ensure accurate and reliable results.

When dealing with outliers, it is important to assess whether they are the result of errors or genuine extreme values. Statistical techniques, such as box plots, scatter plots, or z-scores, can be used to detect outliers. Once identified, the appropriate action depends on the nature and cause of the outliers. In some cases, outliers may need to be corrected or removed from the dataset, while in other cases, they may provide valuable insights or require further investigation.

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The probability of getting at least 4 consecutive heads when tossing a fair coin 10 times is 12.4%.

To find the probability of getting at least 4 consecutive heads when a fair coin is tossed 10 times, we can use the concept of combinations.

The total number of possible outcomes when tossing a fair coin 10 times is 2^10 = 1024, since each toss has 2 possible outcomes (head or tail).

Now, let's consider the number of outcomes where we have at least 4 consecutive heads.

Case 1: Exactly 4 consecutive heads
The first 4 tosses must be heads, and the remaining 6 tosses can be either heads or tails. So, the number of outcomes in this case is 2^6 = 64.

Case 2: Exactly 5 consecutive heads
Similar to the previous case, the first 5 tosses must be heads, and the remaining 5 tosses can be heads or tails. The number of outcomes in this case is 2^5 = 32.

Case 3: Exactly 6 consecutive heads
Following the same pattern, the first 6 tosses must be heads, and the remaining 4 tosses can be heads or tails. The number of outcomes in this case is 2^4 = 16.

Case 4: Exactly 7 consecutive heads
Again, the first 7 tosses must be heads, and the remaining 3 tosses can be heads or tails. The number of outcomes in this case is 2^3 = 8.

Case 5: Exactly 8 consecutive heads
The first 8 tosses must be heads, and the remaining 2 tosses can be heads or tails. The number of outcomes in this case is 2^2 = 4.

Case 6: Exactly 9 consecutive heads
The first 9 tosses must be heads, and the remaining 1 toss can be heads or tails. The number of outcomes in this case is 2^1 = 2.

Case 7: All 10 tosses are heads
In this case, all the tosses must be heads. There is only 1 outcome.

So, the total number of outcomes where we have at least 4 consecutive heads is 64 + 32 + 16 + 8 + 4 + 2 + 1 = 127.

Therefore, the probability of getting at least 4 consecutive heads when tossing a fair coin 10 times is 127/1024, which simplifies to 0.124 or approximately 12.4%.

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Answer:

$0.72 per pound

Step-by-step explanation:

1 ton = 2000

5 tons = 10000

10000 lb = $7200

7200/10000 = 0.72

0.72 dollars a pound

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