5) You invest in 200 shares of Lerner Windows stock and receive a semiannual dividend of
$0.78 a share. At that rate, what will be your annual income from the investment?

Answer:

[tex]\huge\boxed{\sf 81x^4 - 16y^4}[/tex]

Step-by-step explanation:

= (3x - 2y)(3x + 2y)(9x² + 4y²)

= [(3x)² - (2y)²] (9x² + 4y²)

= (9x² - 4y²)(9x² + 4y²)

Using the above formula again

= (9x²)² - (4y²)²

[tex]\rule[225]{225}{2}[/tex]

so here you the answer is 9

Answer:

Option (4)

Step-by-step explanation:

When x = 0, y = -3.

Also, the slope is

[tex]\frac{-1-(-3)}{1-0}=2[/tex]

So, the equation is y = 2x - 3.

Answer:

v=6

Step-by-step explanation:

v²=u²+2as

v²=12²+2(-3)(18)

v²=144-108

v²=30

v=6

There is no association between the chicken preferences and rice preferences. Option C

There is an association between two variables when they both decrease or increase simultaneously. In many cases, the association between the variables can be shown using the correlation coefficient when the relationship is plotted on Cartesian coordinates.

If we look at the table, we can see that there is no association between the chicken preferences and rice preferences because because the proportion of chicken and rice eaters to all chicken eaters is lower than all rice eaters to all eaters; and because the proportion of chicken and rice eaters to all rice eaters is lower than all chicken eaters to all eaters.

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The theorems that prove that lines are parallel includes:

Parallel lines are the lines that do not intersect or meet each other at any point in a plane.

Theorems that prove that lines are parallel includes:

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After enlargement, the new photo would be 16 times larger. The answer is C: 16.

An enlargement can be described as a type of dilation in transformation which involves increasing the dimensions of an original image by a given scale factor, so that the new image is similar to the original image. Their sizes would be different while their shapes remain the same. Also, the ratio of their corresponding dimensions would be the same.

Given the following:

Dimension of original photo = 6 inches by 8 inches

Scale factor = 4

To find the new dimensions of the new photo, multiply the corresponding dimensions of the original photo by 4, thus:

6 × 4 = 24 inches

8 × 4 = 32 inches

New dimensions = 24 by 32

Area of original photo = 6 × 8 = 48 in.²

Area of new photo = 24 × 32 = 768 in.²

768/48 = 16

This means that the new photo is 16 times larger than the original photo.

The answer is: C. 16.

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The expression which represents the given conditional statement in shorthand is: S → W.

A conditional statement can be defined as a statement that can be written to contain both a hypothesis and conclusion. Thus, it typically has the form "if P then Q."

Where:

P and Q represent sentences.

If Megan is swimming = S

It is warm outside = W

Therefore, if Megan is swimming, then it is warm outside is represented by S → W.

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Answer: 102 degrees

Step-by-step explanation:

The remote angle theorem is that two remote angles are equivalent to the exterior angle. Both 51 degrees are remote angles, and angle 4 is the exterior.

51 + 51 = Angle 4

Angle 4 = 102 degrees

Javid travelled by bus for 3 days using a simultaneous equation

What is simultaneous equation?

This refers to equations that are solved together in order to determine the values of unknown variables.

In this case, the total amount spent on daily bus or train can be determined as the fare price multiplied by the number of days

Let  X be the number of days that Javid took bus

total spent on bus=2.50X

Let Y be the number of days that Javid took train

total spent on train=3.50Y

Total spent=2.50X+3.50Y

14.50=2.50X+3.50Y

Secondly, X plus Y gives 5 days

5=X+Y

multiply the second equation by 2.50 and the first by 1

14.50=2.50X+3.50Y

12.50=2.50X+2.50Y

subtract the second equation from first

2=Y

substitute for Y

5=X+Y

5=X+2

X=5-2

X=3

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The number of days that he travelled by bus is; 3 days

Let  x be the number of days that Javid travelled by bus.

Let y be the number of days that Javid travelled by train.

Thus;

Total spent on bus = 2.50x

Total spent on train = 3.50y

Overall total spent is;

2.5x + 3.5y = 14.50   -----(1)

Total number of days is 5 days and so;

x + y = 5    -----(2)

Making x the subject in eq 2 gives us;

x = 5 - y     -----(3)

Put eq 3 in eq 1 to get;

2.5(5 - y) + 3.5y = 14.50

12.5 - 2.5y + 3.5y = 14.5

y = 14.5 - 12.5

y = 2 days

Thus;

x = 5 - 2

x = 3 days

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Answer:

30 terms

Step-by-step explanation:

In the sequence, the value of each term decreases by 2.

38, 36, 34, 32, 30, 28, 26, 24, 22, 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10, -12, -14, -16, -18, -20.

1+ (38 - (-20))/2 = 1+ 29 = 30

Both functions decrease at (-1, 2)

The complete question is added as an attachment

The polynomial function f(x) is represented by the graph.

From the graph, the polynomial function decreases at (-2, 2)

The absolute function is given as;

f(x) = =5|x + 1| + 10

The vertex of the above function is

Vertex = (-1, 10)

Because a is negative (a= -5), the vertex is a maximum.

This means that the function decreases at (-1, ∞)

So, we have

(-2, 2) and (-1, ∞)

Combine both intervals

(-1, 2)

This means that both functions decrease at (-1, 2)

See attachment 2 for the number line that represents the interval where both functions are decreasing

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Answer:48

Step-by-step explanation:

The process is Capable.

According to statement

When the mean and standard deviation of the process are operating such that the upper and lower control limits are acceptable relative to the upper and lower specification limits

and when these conditions are fulfilled then the process is to be called CAPABLE.

So, The process is Capable.

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Answer:

7 - 10

Step-by-step explanation:

Because it is -3 and 7 - 10 = -3

The measure of their corresponding angles is equal the vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4) and the vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4). This can be obtained by plotting the quadrilaterals on a graph paper and comparing the figures.

Given that,

vertices of quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4)

vertices of quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4)

(x,y) ; (x, y-8)

ABCD is reflected across the line y=4 to get the quadrilateral EFCD.

Reflection means the size and shape of the quadrilaterals is same ⇒quadrilateral ABCD and quadrilateral EFCD are congruent.

Thus corresponding parts of congruent triangles are equal, corresponding angles will be equal.

Hence the measure of their corresponding angles is equal the vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4) and the vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4).

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Answer:

D

Step-by-step explanation:

Range is the 'y' values a graph can have

  you can see that the 'y' values can be anythig from - inf to + 2

The range of the function is [2, -∞].

A function has an input and an output.

A function can be one-to-one or onto-one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that the function line y values are from 2 to negative infinity.

This means,

The range is [2, -∞].

Thus,

The range of the function is [2, -∞].

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The 95th percentile for the average number of residents within five miles of each store is 20219.86.

Given mean of 19000 , sample size of 75 stores and standard deviation of 7600.

We have to find the 95th percentile for the average number of residents within five miles of each store in a sample of 75 stores.

We have to first find the margin of error to calculate the upper level of confidence interval.

Margin of error is the difference between the real values and calculated values.

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

where z is the critical value of z at given confidence level.

σ is standard deviation

n is the sample size.

z value at 95% confidence level is 1.39. (one tailed)

Put the values in the formula to get margin of error.

Margin of error=1.39*7600/[tex]\sqrt{75}[/tex]

=10564/8.66

=1219.86

Upper level=19000+1219.86

=20219.86

Hence the 95th percentile is 20219.86 for the average number of residents within five miles of each store in a sample of 75 stores.

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The blanks can be filed by exactly, domain, range, and, f(x) respectively.

While we've got a feature in formulation form, it also includes a simple count to assess the function. For example, the feature f(x)=5−3x2 f ( x ) = 5 − 3 x 2 can be evaluated with the aid of squaring the enter cost, multiplying by means of three, and then subtracting the product from 5.

You write capabilities with the function name observed by way of the established variable, together with f(x), g(x), or maybe h(t) if the function depends upon time. You read the function f(x) as "f of x" and h(t) as "h of t". functions no longer need to be linear. The feature g(x) = -x^2 -3x + 5 is a nonlinear characteristic.

A user is an actual-valued feature on a vector area, usually of functions. as an example, the electricity practical at the unit disk assigns various to any differentiable feature, For the practical to be non-stop, it's miles necessary for the vector space. of capabilities to have the perfect topology.

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Centipedes differ from millipedes in that centipedes are cylindrical, have poison claws, and 2 pairs of appendages per body segment: FALSE

As it is given in the description, centipedes have only one pair of legs on each body segment. So, the whole statement becomes False.

Therefore, the statement "centipedes differ from millipedes in that centipedes are cylindrical, have poison claws, and 2 pairs of appendages per body segment" is FALSE.

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Complete question:

Centipedes differ from millipedes in that centipedes are cylindrical, have poison claws, and 2 pairs of appendages per body segment. TRUE or FALSE

Answer:

false

Step-by-step explanation:

X is equal to Y

therefore,

X = Y

X= false

Y = false

so,

false = false

VARIABLE is a symbol which is used for representation in a  math.

According to the statement

we have to explain about the what is a variable.

So, VARIABLE is a symbol which is used for representation in a  math.

It represent the so many things like Algebra, Matrix,Vector etc. and also so many things.

A variable may also be called a data item.

It is used to represent a data like country name, name, age, date of birth etc.

we know that the every thing is changeable. So, like ther things variables are also changeable.

The changing of variable parameters is called as variation. In problems relating to two or more variables, it is seen that the value of a variable changes with the change in the value.

So, VARIABLE is a symbol which is used for representation in a  math.

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Answer:

[tex]\frac{\sqrt{731}}{30}[/tex]

Step-by-step explanation:

We first observe that the angle is located in quadrant III

This allows us to draw a triangle as attached in the attachments.

Using this triangle, we can find sin([tex]\theta_1[/tex]).

Remembering that sin(theta) = [tex]\frac{opp}{hypo}[/tex], we can see from the attached image that it is [tex]\frac{\sqrt{30^2 - 13^2}}{30}[/tex], then simplifying [tex]\sqrt{30^2 - 13^2}[/tex] using a calculator, we get [tex]\sqrt{731}[/tex].

So our final answer is the answer shown above.

You may be wondering how did the side lengths appear on the triangle.

From cos(theta_1), we remember that cos(theta) = adj/hypo, so, we can draw our triangle using that the adjacent of the theta = -13 (another reason why is because the angle is in quadrant three), and hypo is 30.

The value of sample proportion is found to be 0.253.

The sample proportion [tex]\hat{p}[/tex] indicates the percentage of people in a sample who exhibit a particular quality or attribute.

Divide the number of individuals (or items) who possess the desired attribute by the overall sample size to obtain the sample proportion.

Now, according to the question;

The 90% confidence interval for a proportion is found to be (0.22,0.28).

The confidence interval for the sample is given as-

Confidence interval = Sample proportion ± Margin of Error

Let [tex]\hat{p}[/tex] be the sample proportion.

The level of significance = 1 - 0.90

                                         = 0.10 (10%)

From z-value table, at a significance level of 5% (two-sided), z has a critical value of 1.645.

90% confidence interval = [tex]\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

Thus,                       0.22 = [tex]\hat{p} - 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex], and

                               0.28 = [tex]\hat{p} + 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

Covert both equation in the form of [tex]\hat{p}[/tex] and equating to each other.

[tex]\begin{aligned}&0.22+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\&1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-0.22\\&2 \times 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.06\\&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\frac{0.06}{2 \times 1.645}\\&\sqrt{\frac{\hat{\nu}(1-\hat{p})}{n}}=0.02\end{aligned}[/tex]

Take square root,

[tex]\begin{gathered}\frac{\hat{p}(1-\bar{p})}{n}=0.0004 \\n=\frac{\hat{p}(1-\bar{p})}{0.0004}\end{gathered}[/tex]

Substituting the value of 'n' in the receptive equation to get the value of [tex]\begin{aligned}0.22 &=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\0.22 &=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{p(1-\hat{p})}} \times 0.0004 \\0.22 &=\hat{p}-1.645 \times \sqrt{0.0004} \\0.22 &=\hat{p}-(1.645 \times 0.02) \\0.22 &=\hat{p}-0.033 \\\hat{p}=& 0.22+0.033=0.253\\\end{aligned}[/tex]

Therefore, the value of sample proportion is 0.253.

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Answer:

C.  All real numbers.

Step-by-step explanation:

The domain is the set of all x values that are used by points on the graph.  This is a sine wave, and we assume it extends infinitely far to the left and right.  Even without that assumption, you can eliminate the other answers.

A. This describes the numbers on the x-axis between 0 and 5, inclusive.  But the graph includes many more points with x-coordinates beyond that interval.

B. The same sort of thing: the graph extends well beyond the interval of x values between -5 and 5, inclusive.

D.  This would mean the graph has only points with positive x-coordinates, but there are many with negative (or 0) x-coordinates.

Using sampling concepts, the correct option regarding the validity of the inference is given as follows:

B) Yes, this is a valid inference because she took a random sample of the neighborhood.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents. If I had taken 1000 residents just from Buffalo, it would not be a representative sample.

In this problem, all addresses in the neighborhood are considered, hence a random sample was taken and the correct option is given as follows:

B) Yes, this is a valid inference because she took a random sample of the neighborhood.

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1. The number of gallons of water produced is 460 gallons

2. The amount in cm the sea would increase after 6 years is 392 cm

We'll begin by by converting 1.9 m³ to cm³. This is illustrated below:

1 m³ = 1×10⁶ cm³

Therefore,

1.9 m³ = 1.9×10⁶ cm³

Next, we shall determine the volume of water produced from 1.9 m³ (i.e 1.9×10⁶ cm³) of ice. This is illustrated below:

From the question given,

1 cm³ of ice = 0.92 cm³ of water

Therefore,

1.9×10⁶ cm³ of ice = 1.9×10⁶ × 0.92

1.9×10⁶ cm³ of ice = 1.748×10⁶ cm³ of water

Finally, we shall determine the number of gallons produced. This is illustrated below:

From the question given,

3800 cm³ of water = 1 gallon

Therefore,

1.748×10⁶ cm³ of water = 1.748×10⁶ / 3800

1.748×10⁶ cm³ of water = 460 gallon

Thus, 460 gallons were produced

From the question given above,

1000 Km³ = 364 cm

Therefore,

179.4 Km³ = (179.4 × 364) / 1000

179.4 Km³ = 65.3016 cm per year

To obtain the increase after 6 years, multiply 65.3016 by 6 as shown below:

65.3016 × 6 = 392 cm

Thus, the sea will increase 392 cm after 6 years

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