Match the equation to its x-intercepts:
y = x(x-2)
y = (x-4)(x+5)
y = -5x(3 - x)

The product of these two numbers -

What is a factors in math?

Marie is thinking of a multiple of = 63

Jay is thinking of a factor of = 63

The multiples of 63.

63,126,189,252,315

The factors of 63 = 1,3,7,9,21,63

As we can see, 63 is common, so is -63 if we go to the negative side.

So we multiply 63 and -63 and we get -3969

63 multiplied by -63 is equal to -3969

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Answer:

yes True

Step-by-step explanation:

thank you so much

The half life period is the time in which only half of the given population remains. It can be represented through this equation:

\(f(t)=a\times(1/2)^{\frac{t}{h}}\)

We're given:

For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.

This can be calculated simply by multiplying the given half-life by 3:

28 million years x 3

= 84 million years

84 million years

A researcher looking to estimate the percentage of teenagers in the US who support the legalization of recreational marijuana should employ descriptive statistics, specifically using a proportion or percentage to summarize the data collected from a representative sample of teenagers.

The researcher should employ inferential statistics to obtain the answer to her question. She could use survey sampling methods to collect data from a representative sample of teenagers in the US and use statistical analysis techniques such as hypothesis testing and confidence intervals to estimate the percentage of teenagers who support the legalization of recreational marijuana in the entire population of US teenagers.

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Answer:

The measure of angle WVX is 140°.

Step-by-step explanation:

Let x be the measure of angle WVX.

\( \frac{14}{9} \pi = 2x\)

\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)

Answer:

angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.

so, the answer is 140 degrees.

The probability that none of the ten freshmen graduates from the local community college is approximately 0.006 or 0.6%.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Assuming that the probability of each freshman graduating is independent of the others, the probability that none of the ten freshmen graduates is -

\(P = (0.6)^{10}\)

= 0.0060466176

Here, we are using the fact that the probability of a freshman not graduating is 1 - 0.4 = 0.6.

So, the probability value is obtained as 0.006 or 0.6%.

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Answer:

i can help

Step-by-step explanation:

Where are the questions

Answer:

Step-by-step explanation:

d

The most representative sample of the population would be a random sample of cereal pieces from the box. Therefore, option D is the correct answer.

In statistics, a simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals are chosen randomly, all with the same probability. It is a process of selecting a sample in a random way.

Given that, a factory makes boxes of cereal. Each box contains cereal pieces shaped like hearts, stars and rings.

The most representative sample of the population would be a random sample of cereal pieces from the box. This means that the employee should select pieces from the box without looking at or attempting to select any particular shape. This ensures that the sample accurately reflects the distribution of cereal pieces in the box, and gives an accurate representation of the population.

Therefore, option D is the correct answer.

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The choice of whether to report the median or mean as a measure of central tendency depends on the shape of the data distribution and the purpose of the analysis.

a) Whether the median or mean would be larger depends on the shape of the distribution of the data. The median is the value that separates the lower half of the data from the upper half, and is a robust measure of central tendency, meaning that it is not greatly affected by outliers or extreme values. On the other hand, the mean is the sum of the data values divided by the number of values, and can be influenced by outliers or extreme values.

In the case of the life expectancies data, if the distribution is roughly symmetrical, with most of the values clustered around the center and relatively few outliers or extreme values, then the mean and median would likely be similar in value. However, if the distribution is skewed to one side, with many values concentrated on one end and relatively few values on the other end, then the mean would likely be larger than the median.

b) The best measure to report depends on the context and the purpose of the analysis. In general, the median is a more appropriate measure of central tendency for skewed distributions, since it is not greatly affected by outliers or extreme values. On the other hand, the mean is more appropriate for symmetrical distributions, since it provides a more accurate representation of the typical value of the data.

In the case of the life expectancies data, it may be useful to report both the median and the mean in order to provide a full picture of the central tendency of the data. However, if there are outliers or extreme values that could significantly affect the mean, it would be more appropriate to report the median as the primary measure of central tendency.

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Answer:

I THINK its 1.5?

Answer:3/2

Step-by-step explanation:

hope this helps, LOOK AT THE PICTURE

The quadrilateral described by the coordinates (0,0), (0,b), (a,b), and (a,0) in the first coordinate plane, where a is not equal to b, is a rectangle due to its right angles and equal opposite sides.

The quadrilateral described by the coordinates (0,0), (0,b), (a,b), and (a,0) in the first coordinate plane, where a is not equal to b, is actually a rectangle.

A rectangle is a quadrilateral with four right angles (90-degree angles). In this case, the sides connecting (0,0) to (0,b) and connecting (a,0) to (a,b) are vertical and have the same length of b, while the sides connecting (0,0) to (a,0) and connecting (0,b) to (a,b) are horizontal and have the same length of a. Thus, all four angles of the quadrilateral are right angles.

Since the opposite sides of the quadrilateral are parallel and equal in length, and all angles are right angles, the most accurate classification for this quadrilateral is indeed a rectangle.

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The 50th partial sum s50 of the alternating series is an underestimate of the total sum. This is because the alternating series test theorem states that the alternating series converges to a value between the last negative term and the last positive term.

Thus, the alternating series can be overestimated by using the last positive term and underestimated by using the last negative term. Let's consider an example. Suppose we have the alternating series $$1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4} + \frac{1}{5} - \frac{1}{6} + \cdots$$

The last positive term is $$\frac{1}{5}$$ and the last negative term is $$-\frac{1}{6}$$.

Therefore, the alternating series converges to a value between

$$\frac{1}{5}$$ and $$-\frac{1}{6}$$.

So, if we take the 50th partial sum s50, which is a sum of the first 50 terms of the series, we are using the last negative term as the last term. Therefore, s50 is an underestimate of the total sum of the series.

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Answer:

\(V=209\ cm^3\)

Step-by-step explanation:

The height of this cone, h = 8 cm

The radius of this cone, r = 5 cm

We need to find the volume of this cone. The formula for the volume of a cone is given by :

\(V=\dfrac{1}{3}\pi r^2 h\)

Put all the values,

\(V=\dfrac{1}{3}\times 3.14\times 5^2 \times 8\\\\=209.33\approx 209\ cm^3\)

So, the volume of this cone is equal to \(209\ cm^3\).

The null hypothesis is found as: H0: μ = 5.0

The  alternative hypothesis is found as: Ha: μ ≠ 5.0

The null hypothesis, denoted as H0, states that there is no significant difference between the mean GPA of students in the university and the reported value of 5.0 (out of 7.0).

In symbols, the null hypothesis can be represented as:
H0: μ = 5.0

The alternative hypothesis, denoted as Ha, states that there is a significant difference between the mean GPA of students in the university and the reported value of 5.0 (out of 7.0).

In words, the alternative hypothesis can be stated as:
Ha: μ ≠ 5.0

Where μ represents the population mean GPA. The alternative hypothesis indicates that there is a difference, either higher or lower, between the mean GPA of students in the university and the reported value.

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Answer:

Step-by-step explanation:

$13

12 1/2 years

Step-by-step explanation:

Let the unknown be n. Then 40+n = 3(5+n).

Performing the multiplication:

40+n = 15+3n

Isolate n and combine the constant terms:

25=2n, so n= 25/2 years

The mean of the data sets of Restaurants A and B which Walt collected is 17.3 and 15.8 respectively. Degree of overlap of two data set is 1.5.

The mean of the data is the average value of the given data. The mean of the data is the ratio of sum of all the values of data to the total number of values of data.

Walt collected random samples of data on the number of people who eat at who restaurants daily. He created two dot plots to represent his data.  

Mean of Restaurants A is,

\(X_A=\dfrac{10+15+16+18+18+18+19+19+20+20}{10}\\X_A=\dfrac{173}{10}\\X_A=17.3\)

Mean of Restaurants B is,

\(X_A=\dfrac{ 10+13+15+15+15+16+17+18+19+20}{10}\\X_A=\dfrac{158}{10}\\X_A=15.8\)

Degree of overlap is the difference of both the means.

\(DO=X_A-X_B\\DO=1.5\)

Thus, the mean of the data sets of Restaurants A and B which Walt collected is 17.3 and 15.8 respectively. Degree of overlap of two data set is 1.5.

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The set  (x1,x2)+(y1,y2)=(x1-x2, y1+y2) is not a vector space.

A set is a vector space if it satisfy all the addition operation axiom and scalar multiplication axiom.

Addition operation:

Commutativity -

(x1, x2) + (y1, y2) equals  (x1 - x2,  y1 + y2) equals  (y1, y2) + (x1, x2)

Associativity -

(x1, x2) plus ((y1, y2) plus (z1, z2)) = (x1, x2) + (z1 + y1, z2 + y2) = (x1+ y1 + z1, x2 + y2 + z2) =

((x1, x2)   + (y1, y2)) + (z1, z2)

Zero element -

(0, 0)  → (x1, x2) + (0, 0) = (x1, x2)

Inverse element -

(x1, x2)  adding (-x1, -x2) = (0, 0)

Scalar multiplication:

Compatibility -

a(b (x, y)) = a(bx, 0) = (abx, 0) = b(ax, 0) = b(a(x, y))

Identity element -

1(x, y) = (x, 0) ≠ (x, y)     [Identity element doesn’t exist for this operation.)

Distributivity law -

a((x1, x2) + (y1, y2)) = a(x1 + y1, x2 + y2) = (a(x1 + y1), 0) = a(x1, x2) + a(y1, y2)

Distributivity law -

(a + b)(x, y) = ((a + b)x, 0) = (ax, 0) + (bx, 0) = a(x, y) + b(x, y)

The scalar multiplication postulate is not fulfilled in this space (this operation does not have the identity element). It is therefore not a vector space.

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Example that demonstrates the contrapositive of the limit comparison test. Let's consider a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges.

Let's define the series an and bn as follows:
- an = 1/\(n^2\)
- bn = 1/n

Now, let's examine the limit:
lim(n→∞)(an/bn) = lim(n→∞)((1/\(n^2\)) / (1/n))

To simplify the limit expression, we multiply both numerator and denominator by \(n^2\):
lim(n→∞)(\(n^2\)(1/\(n^2\)) / \(n^2\)(1/n)) = lim(n→∞)(n/\(n^2\)) = lim(n→∞)(1/n)

As n approaches infinity, the limit becomes:
lim(n→∞)(1/n) = 0

Now, let's check the convergence of the series an and bn:
- an = Σ(1/\(n^2\)) is a convergent p-series with p = 2 > 1.
- bn = Σ(1/n) is a divergent p-series with p = 1.

Thus, we have provided an example of a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges. This demonstrates the contrapositive of the limit comparison test, as requested.

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Answer:

22.3 x 1.8 = 40.14

Step-by-step explanation:

22.3

x  1.8  

________

1784

2230

________

40.14

Answer:

40.14

Step-by-step explanation:

22.3

× 1.8  ← Forget about the decimal places and multiply by the one's place.

1 7 8 4

2 2 3 0 ← Put a 0 to hold the one's place and multiply 223 by ten's place.

4 0 . 1 4 ← Add those 2 numbers and keep 2 decimal places.

Answer:

it is correct good job

Step-by-step explanation:

Answer:

0.3545

Step-by-step explanation:

Answer:

ii) Obtuse? iii) Right? Thus, the two acute angles cannot be supplementary angles. Thus, the two obtuses angles cannot be supplementary angles.

Answer:

since acute angles obtuse angles cannot be supplementary angles Thus, right angles are supplementary angles

Answer:

V(x) = 4x³ - 56x² + 187x

Step-by-step explanation:

Given

V(x) = (17 - 2x)(11 - 2x)x ← expand factors using FOIL

      = x(187 - 34x - 22x + 4x² )

     = x(4x² - 56x + 187) ← distribute parenthesis by x

    = 4x³ - 56x² + 187x

The volume of the right cone is 384π cm³ (option A).

A cone is a three-dimensional object that narrows smoothly from a circular base to a apex or vertex. A cone is a pyrmaid with a circular cross section.

The volume of an object measures the amount of space in the object.

Volume of a cone = 1/3(πr²h)

Where:

Volume of a cone = 1/3(π x 8 x 12²) = 384π cm³

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Hi! I understand that you want an explanation for the given code snippet involving sets, disjunction, and logical statements. Here's the breakdown of the code and its meaning:

1. Given sets a and b from the universe u.
2. We have a hypothesis (h) stating that for all elements x, it is not true that x is in both set a and set b (¬ (x ∈ a ∧ x ∈ b)).
3. The goal is to prove disjunction (disj a b), meaning that x belongs to either set a or set b, but not both.

The proof proceeds as follows:

1. We assume an element x.
2. We assume h1, which states that x belongs to set a (x ∈ a).
3. We assume h2, which states that x belongs to set b (x ∈ b).
4. We derive a contradiction (h3) using the assumptions h1 and h2, stating that x belongs to both sets a and b (x ∈ a ∧ x ∈ b).
5. Since we have a contradiction (h3) and our hypothesis (h) stated that such a situation is not possible, we can conclude that our assumption is false.
6. Therefore, we have proved that x cannot belong to both sets a and b simultaneously, confirming the disjunction (disj a b).

In summary, the given code snippet proves the disjunction between sets a and b, given a hypothesis that no element belongs to both sets simultaneously.

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Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

Answer:

1. 5(3+9) = (5 x 3) + (5 x 9)

2. (7+8)6 = (6 x 7) + (6 x 8)

3. 51 x 9 + 51 x 31 = 459 + 1581 = 2040

4. 17 x 13 + 51 x 13 + 32 x 13 = 221 + 663 + 416 = 1300

These should all be right :)

I used PEMDAS and the distributive property.

Answer:

1. r+s²=49

2. pq²=24

3. -4xy-6x²+2x²y-6y= -54

Step-by-step explanation:

1. r+s²=0+7²=49

2. pq²=(6)(2)²=6(4)=24

3. -4xy-6x²+2x²y-6y= -4(3)(2)-6(3)²+2(3)²(2)-6(2)

                                = -24-6(9)+2(9)(2)-12

                                = -24-54+36-12

                                = -78+36-12

                                = -42-12

                                = -54