a = ?
b= ?
C = ?
A = ?
B = ?

The option that indicates terms in the algebraic expression is: -2d

An algebraic expression in mathematics is defined as an expression that is made up of variables and constants, along with algebraic operations. Expressions are made up of terms.

The algebraic expression is given as:

bd² - 2d - 7c'd²

Now, we can see a total of three terms in this given expression and they are: bd², -2d, -7c'd²

In this regards, we also see three variables which are b, c' and d.

In total, we can see three terms and three variables and from the options, only option D is correct.

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It is important to note that this conclusion is based on a small sample size of only 14 patients and may not be representative of all rural hospitals.

Based on the given information, it can be concluded that patients at rural hospitals have a lower waiting time compared to the national average. The 14 randomly selected patients who went to the emergency room at rural hospitals waited an average of 3.5 hours to be admitted into the hospital, which is 1.5 hours lower than the national average of 5 hours.  Nationally, patients typically wait an average of 5 hours in the emergency room before being admitted into the hospital. In contrast, a sample of 14 randomly selected patients at rural hospitals experienced a lower average waiting time of 3.5 hours, with a standard deviation of 2.4 hours. Based on this data, it can be concluded that patients at rural hospitals may have shorter waiting times compared to the national average. However, further research with a larger sample size is needed to confirm this conclusion more definitively.

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The equation of a circle with a center at (-8, -5) and a point on the circle at (-1, 1) can be found using the distance formula. The equation is (x + 8)^2 + (y + 5)^2 = 98.

To find the equation of a circle, we need to know the coordinates of the center and a point on the circle. Let's denote the center of the circle as (h, k) and the point on the circle as (x1, y1).

The distance formula can be used to find the radius of the circle, which is the distance between the center and any point on the circle. The formula is:

r = sqrt((x1 - h)^2 + (y1 - k)^2)

In this case, the center is (-8, -5) (h = -8, k = -5), and the point on the circle is (-1, 1) (x1 = -1, y1 = 1).

Substituting these values into the distance formula, we get:

r = sqrt((-1 - (-8))^2 + (1 - (-5))^2)

= sqrt((7)^2 + (6)^2)

= sqrt(49 + 36)

= sqrt(85)

Now that we know the radius is sqrt(85), we can write the equation of the circle using the formula:

(x - h)^2 + (y - k)^2 = r^2

Plugging in the values, we have:

(x + 8)^2 + (y + 5)^2 = (sqrt(85))^2

(x + 8)^2 + (y + 5)^2 = 85

Therefore, the equation of the circle with a center at (-8, -5) and a point on the circle at (-1, 1) is (x + 8)^2 + (y + 5)^2 = 85.

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Errors that pertain to anything in the research process except sample size are known as option b. non-sampling error.

Non-sampling errors are errors that occur in the research process other than those related to sample size. These errors can arise at any stage of the research process, including data collection, data processing, analysis, and interpretation. Examples of non-sampling errors include errors in data entry or coding, selection bias, measurement bias, interviewer bias, and response bias. Non-sampling errors can have a significant impact on the accuracy and validity of research findings and should be carefully controlled and minimized to the extent possible.

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Answer:

194.25meters

Step-by-step explanation:

The distance around the running track is calculated as:

Perimeter of the first semi circle + Perimeter of the second circle +50m + 50m

Semi circle has a length or diameter of = 30m

r = 30/2 = 15m

Perimeter of a circle = 2πr

Hence for a semi circle = 2πr/2 = πr

Perimeter of the first semi circle = π × 15

= 47.123889804m

Perimeter of the second semi circle is the same hence,

π × 15 = 47.123889804m

The distance around the running track

= 47.123889804m + 47.123889804m + 50m + 50m

= 194.24777961m

Approximately= 194.25meters.

The reduced row echelon form of the \(4\)×\(5\) matrix is

\(\left[\begin{array}{ccccc}1&0&1&0&-3\\0&1&5&0&-1\\0&0&0&1&4\\ 0&0&0&0&0\end{array}\right]\)

What is reduced row echelon form ?

When all of a matrix's pivots equal 1, and the pivots are the only non-zero elements in the fundamental columns, we say that the matrix is in reduced row echelon form.

Given that \(a_{1} ,a_{2}\) and \(a_{3}\) will be the independent vector, lets select them as the basis vector.

\(a_{1} =\left[\begin{array}{c}1&0&0\\0\end{array}\right]\) , \(a_{0} =\left[\begin{array}{c}0&1&0\\0\end{array}\right]\)

\(a_{3}= a_{1} +5a_{2}\)

   = \(\left[\begin{array}{c}1&0&0\\0\end{array}\right]+5\left[\begin{array}{c}0&1&0\\0\end{array}\right]\)

  =\(\left[\begin{array}{c}1&5&0\\0\end{array}\right]\)

\(a_{4}\) = \(\left[\begin{array}{c}0&0&0\\1\end{array}\right]\) and

\(a_{5} = -3a_{1} -a_{2} +4a_{4}\)

   = \(-3\left[\begin{array}{c}1&0&0\\0\end{array}\right]-\left[\begin{array}{c}0&1&0\\0\end{array}\right]+4\left[\begin{array}{c}0&0&0\\1\end{array}\right]\)

  =  \(\left[\begin{array}{c}-3&-1&0\\4\end{array}\right]\)

Hence the \(4\)×\(5\) matrix will be in the form

\(\left[\begin{array}{ccccc}1&0&1&0&-3\\0&1&5&0&-1\\0&0&0&0&0\\ 0&0&0&1&4\end{array}\right]\)

Since the one complete row is already zero, hence for calculating the row reduced echelon form we just need to replace the 3rd and 4th row.

\(\left[\begin{array}{ccccc}1&0&1&0&-3\\0&1&5&0&-1\\0&0&0&1&4\\ 0&0&0&0&0\end{array}\right]\)

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The reduced row echelon form of the4 × 5matrix is

\(\left[\begin{array}{ccccc}1&0&1&0&-3\\0&1&5&0&-1\\0&0&0&1&4\\0&0&0&0&0\end{array}\right]\)

When all of a matrix's pivots equal 1, and the pivots are the only non-zero elements in the fundamental columns, we say that the matrix is in reduced row echelon form.

Given that a1,a0,and a3  will be the independent vector, lets select them as the basis vector.

\(a_{1}=\left[\begin{array}{c}1&0&0&0\end{array}\right]\), \(a_{0}=\left[\begin{array}{c}0&1&0&0\end{array}\right]\)

a3 = a1 + 5a0

\(\left[\begin{array}{c}1&0&0&0\end{array}\right]+5\left[\begin{array}{c}0&1&0&0\end{array}\right]\)

\(a_{4}= \left[\begin{array}{c}0&0&0&1\end{array}\right]\)

a5 = -3a1 - a2 + 4a4

\(-3\left[\begin{array}{c}1&0&0&0\end{array}\right]-\left[\begin{array}{c}0&1&0&0\end{array}\right]+4 \left[\begin{array}{c}0&0&0&1\end{array}\right]\)

\(=\left[\begin{array}{c}-3&-1&0&4\end{array}\right]\)

Hence the × matrix will be in the form

\(=\left[\begin{array}{ccccc}1&0&1&0&-3\\0&1&5&0&-1\\0&0&0&0&0\\0&0&0&1&4\end{array}\right]\)

Since the one complete row is already zero, hence for calculating the row reduced echelon form we just need to replace the 3rd and 4th row.

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Answer:

Step-by-step explanation:

2/5 + sqrt(88)

2/5 + sqrt(4)*sqrt(22)

2/5 + 2 sqrt(22)

That's as much as this can be reduced.

i attached a pdf, hopefully it helps you understand!

The answer would be A

Answer:

I believe it's D.

Explanation:

The line goes one square down and 3 squares to the right

The assumptions for the two proportions z-test that would not be a concern, in this case, are random sampling, independence, large sample size, and normality of the sampling distribution.

When comparing two proportions using a z-test, there are several assumptions that need to be met to ensure that the results are valid. In this case, the assumptions that would not be a concern are:

Random sampling: The sample of 50 mushrooms from each company is assumed to be a random sample from the population of mushrooms for each company. This assumption ensures that the sample is representative of the population and that the results can be generalized to the larger population.

Independence: The samples from each company are assumed to be independent of each other. This means that the mushrooms from one company do not influence the mushrooms from the other company in any way. This assumption is necessary for the validity of the z-test.

Large sample size: The sample size of 50 mushrooms from each company is sufficiently large. When the sample size is large, the sample proportion can be used as an estimate of the population proportion, and the sampling distribution can be assumed to be approximately normal. A general rule of thumb is that the sample size should be at least 30.

Normality: The z-test assumes that the sampling distribution of the difference between the two sample proportions is approximately normal. This assumption is valid when the sample size is large, as mentioned above.

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Answer:

1.05263

explanation:

8 divided by 7.6

\(\hookrightarrow \dfrac{8}{7.6}\)

multiply both by 10

\(\hookrightarrow \dfrac{80}{76}\)

final answer

\(\hookrightarrow 1.05263\)

The minimum number of bundles of shingles needed to cover the roof of the Square pyramid is 5.

A three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called a vertex) is called a square pyramid. It is called a pentahedron, due to its five faces.

Given, the roof of a shed is a square base pyramid. if one bundle of shingles covers 40 ft². Also given, the height of the slant is 8.2ft. and the base is 9 ft.

From the general formula of the surface area of a square pyramid (A)

= \(a^{2} + 2a\sqrt{a^{2} /4 + h^{2} }\)

Since we do not need to calculate the area of the base thus we will remove a² which is the area from the equation.

the surface area of a square pyramid (A) = \(2*9\sqrt{9^{2} /4 + 8.2^{2} }\)

the surface area of a square pyramid (A) = 168.3 ft²

Since one bundle of shingles covers 40ft^2 Thus for covering 168.3 ft square we are gonna need 5 bundles of shingles.

Therefore, The Square pyramid's roof can be finished with as few as 5 bundles of shingles.

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Answer:

Can you please elaborate the Question

I apologize for the confusion. In calculating the present value of a four-period annuity, the cash flow per period for years 3 and 4 should be multiplied by 3 and 12, respectively.

To correctly calculate the present value, we need to account for the modified cash flow per period for years 3 and 4. The cash flow for years 1 and 2 remains $200 per year. However, for years 3 and 4, we multiply the cash flow by 3 and 12, respectively.

Given:

Cash flow per period (years 1 and 2): $200

Cash flow per period (years 3 and 4): $200 * 3 = $600

Discount rate: 9%

Number of periods: 4

By applying the adjusted cash flow per period, we can use the present value of an annuity formula to calculate the present value. After performing the calculations, the revised present value of the four-period annuity will be obtained.

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The number of pages which Claire should read each day to finish the 35 pages in 6 days is; 5.833 pages per day.

How many pages should Claire read per day?

It follows from the task content that the number of pages which Claire should read per day in a bid to finish all 35 pages in 6 days be determined.

Since the given condition is such that; Claire reads an equal number of pages on each of the next six days.
It follows that the number of pages to be read each day is given by;
35 / 6
= 5.833 pages per day.
Ultimately, the number of pages Claire should read per day over the next 6 days is; 5.833 pages per day.

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Answer:

49 un^2

Step-by-step explanation:

We can split the bird feeder into two parts, a rectangle and a triange.

The rectangle would have a base of 7 un and a height of 5 un

So, the area would be 35 un^2

The trianges base would be 7 un, the same as the rectangle, and the height would be 4 un.

So, the area would be 14 un^2

Therefore, the total area of the bird feeder would be 49 un^2

To obtain a smaller margin of error, choose a smaller confidence level.

Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.

MOE = z x (SD / √n)

where MOE = margin of error

z = found by using a z-score table

SD = sample standard deviation

n = sample size

Based on the formula, to reduce the margin of error, the z-score, z, must be small. In order to have a smaller value of z, the probability, p, should also be small. And to obtain a small probability, choose a smaller confidence level.

Hence, to reduce the margin of error, use a lower confidence level.

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ANSWER and EXPLANATION

We have that twice a number is increased by a different number and that is equal to 15.

a) Let the first number be x.

Let the second number be y.

This means that:

2x + y = 15

b) To find the possible numbers that can solve this, we have to pick random values of x, then use that to find the values of y.

Let us pick x as 3, 6 and 9.

When x = 3:

2(3) + y = 15

6 + y = 15

=> y = 15 - 6

y = 9

When x = 6:

2(6) + y = 15

12 + y = 15

y = 15 - 12

y = 3

When x = 9:

2(9) + y = 15

18 + y = 15

y = 15 - 18

y = -3

These are some possible solutions to the equation.

c) The graph of this equation would be continuous.

A continuous graph is one whereby x take any values not some particular values.

Because the question does not classify the kind of numbers, the numbers could be any numbers, and so, the graph would be continuous.

Step-by-step explanation:

1/5×80=80/5=16 because 1/5 out of 80 means to multiply 1/5 by 8o so the answer to that question is 16.

48÷1/2=48×2/1=96/1=96 because when you divide a fraction by fraction or a fraction with a number there is a rule that says you have to reverse the fraction on the right side and replace the division sign to a multiply sign and multiply. so the answer becomes 482)×2/1 which equals 96.

After removing the outliers, the mean age of the remaining students is 18.6 and the median age is 19.

When the outliers (27 and 47) are removed from the data, we are left with the following set of ages: 19, 19, 18, 18, 18, 19, 20, 18.

To find the mean age of the remaining students, we add up the ages and divide by the number of remaining students.

Mean age = (19 + 19 + 18 + 18 + 18 + 19 + 20 + 18) / 8 = 149 / 8 = 18.6 (rounded to the nearest tenth)

Therefore, the mean age of the remaining students is 18.6.

To find the median age of the remaining students, we need to arrange the ages in order from least to greatest: 18, 18, 18, 19, 19, 19, 20, 47.

The median is the middle value when the data is arranged in order. In this case, there are 8 data points, so the middle two values are 19 and 19. The median age of the remaining students is the average of these two values:

Median age = (19 + 19) / 2 = 19

Therefore, the median age of the remaining students is 19.

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Complete question is:

Professor Melendez has 10 students in her college algebra class. Their ages are shown below.

19, 27, 19, 18, 18, 18, 47, 19, 20, 18

The mean age of the students in the class is 22.3. The median age of the students is 19. There are two outliers in the data from Professor Melendez’s class: 27 and 47.

When the outliers are removed, what is the mean age of the remaining students? Round your answer to the nearest tenth

What is the median age of the remaining students?

Kuo's research emphasizes the role of learning in shaping an animal's behavior and highlights the importance of early experiences in shaping social behavior. This research has important implications for the fields of biology, animal behavior, and animal welfare.

Biologist Zing Yang Kuo's research demonstrated that a cat raised from birth with a rat in the same cage would not attack that specific rat or other rats. This research suggests that the cat's behavior towards rats is learned and not solely based on instinct. The results of this study have implications for understanding the role of early experiences in shaping an animal's behavior towards other species.

The study highlights the importance of socialization in shaping an animal's behavior. Animals raised in isolation from their own species may exhibit abnormal behaviors and may not develop appropriate social skills. In the case of the cat raised with the rat, the presence of the rat from an early age prevented the cat from perceiving the rat as prey.

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Answer:

3/4 and 10/15 are not proportional

Step-by-step explanation:

3 is not a factor of 10 and 4 is not a factor of 15

Answer:

No

Step-by-step explanation:

3/4 is already simplified all the way, but 10/15 is not. 10/15 simplifies down to 2/3 (because 5x2=10 and 5x3=15), which is not equivalent to 3/4.

The length and width of this rectangle are 15 cm respectively

The perimeter is given as:

Perimeter, P = 60

The greatest area is calculated as:

Greatest = (P/4)^2

Substitute 60 for P

Greatest = (60/4)^2

Evaluate the quotient

Greatest = 15^2

Evaluate the exponent

Greatest = 225 square centimeters

Hence, the greatest area is 225 square centimeters

We understand that the area is the greatest.

In such a scenario;

Length = Width

This means that:

Area =Length^2 =Width^2

So, we have:

Length^2 =Width^2 = 225

Take the square root

Length =Width = 15

Hence, the length and width of this rectangle are 15 cm respectively

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Answer:

1.1

Step-by-step explanation:

square root of 1.19- 1.09087...- rounded to 1.1

Answer:

it is 1.1

you should use calculator

Step-by-step explanation:

:)

Answer: 44

Step-by-step explanation: No explain because just yeah:)

We are given the function, \(\underline{f(x)=x^3-9x^2+20x-12}\), and are asked to find the x and y intercepts of the function.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

What is an intercept?

An intercept is where the graph of a function cross either the x or y axis. The x-intercept(s) crosses the x-axis and the y-intercept(s) crosses the y-axis.

How do find the x-intercept(s)?

To find the x-intercepts let y in your function equal zero, then solve for x.

How do find the y-intercept(s)?

To find the y-intercepts let x in your function equal zero, then solve for y.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Refer to the attached image for the rest.

The kind of transformation that is illustrated in this figure include the following: D. rotation.

In Mathematics and Geometry, a transformation is the movement of a point from its initial position to a new location. This ultimately implies that, when a geometric figure or object is transformed, all of its points would also be transformed;

In Mathematics, a rotation refers to a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By critically observing the geometric figures, we can reasonably infer and logically deduce that the pre-image was rotated counterclockwise to produce the image.

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Complete Question:

What kind of transformation is illustrated in this figure?

reflection

dilation

translation

rotation

Answer:

r = 14

Step-by-step explanation:

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\)

\(\frac{-4-r}{8-2}= -3 \\\\\frac{-4 - r}{6} = - 3\)

Cross multiply,

-4 - r = -3*6

-4 - r = -18

-4  = - 18 + r

-4 + 18 = r

r = 14

Answer:r = 14

Step-by-step explanation:

The area of the triangle is 19.5 square units.

To find the area of the triangle, we can use the formula:

Area = (1/2) * base * height

where the base and height are the distance between two of the vertices of the triangle. We can choose any two vertices to use as the base and height, as long as we use the same units for both. Let's choose (-3,2) and (6,-2) as our base.

The distance between (-3,2) and (6,-2) can be found using the distance formula:

d = \(\sqrt((6 - (-3))^2 + (-2 - 2)^2)\)
d = \(\sqrt(81 + 16)\)
d = \(\sqrt(97)\)

Now we need to find the height of the triangle. The height is the perpendicular distance from the third vertex (3,5) to the line containing the base (-3,2) and (6,-2). We can use the formula:

height = \(|Ax + By + C| / \sqrt(A^2 + B^2)\)

where A, B, and C are the coefficients of the line in the standard form Ax + By + C = 0, and x and y are the coordinates of the third vertex. We can find the coefficients of the line by using the two points (-3,2) and (6,-2):

A = 2 - (-2) = 4
B = (-3) - 6 = -9
C = 6*(-2) - (-3)*2 = -18

Now we can plug in the values to find the height:

height = \(|4*3 - 9*5 - 18| / \sqrt(4^2 + (-9)^2)\)
height = \(39 / \sqrt(97)\)

Finally, we can plug in the base and height to find the area:

Area = \((1/2) * \sqrt(97) * (39 / \sqrt(97))\)
Area = 19.5

Therefore, the area of the triangle is 19.5 square units.

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Answer:

Step-by-step explanation:

Plants can cause both mechanical and chemical weathering. They cause mechanical weathering by their roots which grow inside rock cracks where soil has collected and eventually crack them. This can also happen in streets or sidewalks.

They cause chemical weathering with their roots, which release acid or other chemicals, onto rocks, which then forms cracks, and breaks apart.

Plants may decrease chemical weathering by binding secondary products and isolating unweathered minerals from meteoric water.

The formation of a forest or a stand of trees in an area where there was previously no tree cover is known as afforestation.

Many government and non-governmental groups are directly involved in afforestation efforts to establish forests and boost carbon sequestration.

Plants can weather both mechanically and chemically. Their roots, which grow inside rock fractures where dirt has accumulated and eventually crack them, produce mechanical weathering. This can also happen on the pavements or on the highways.

Their branches promote melting by releasing acid or other compounds onto rocks, causing fissures and breaking apart.  By binding secondary products and separating uncut diamond minerals from meteoric water, plants can reduce chemical weathering.

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