{1, 2, 3,..., 175, 176, 177, 178}
How many numbers in the set above
have 5 as a factor but do not have
6-10 as a factor?
A. 1
B.
3
C. 4
D. 17
E. 18

The study conducted by the researcher suffers from several limitations, including the absence of a control group, small sample size, participant bias, and experimenter bias. Furthermore, the sample selection is inadequate, as all the participants are students of one course in a single university.

Moreover, the study fails to account for extraneous variables that might affect the results. Therefore,  that textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. T he study is flawed, and more research is needed to assess the effect of textbooks on learning.

The study conducted by the researcher suffers from several limitations. First, there is no control group, which makes it difficult to determine whether the results are due to the absence or presence of the textbook. Second, the sample size is small, which reduces the generalizability of the findings.

Third, there is participant bias, as some students might have bought the textbook even though it was optional, while others might not have bought it even though it was required. Fourth, there is experimenter bias, as the professor who scored the essays knew which section had the textbook and which did not.

Fifth, the sample selection is inadequate, as all the participants are students of one course in a single university. Moreover, the study fails to account for extraneous variables that might affect the results, such as the students' prior knowledge, motivation, and study habits.

Therefore, the  textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. The study is flawed, and more research is needed to assess the effect of textbooks on learning.

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Answer: 40º

Step-by-step explanation:

To find angle c, not give 2 angles at least, we must use a trigonometric function. With respect to angle c, we can see that we have the opposite and adjacent sides.

The trigonometric function that relates opposite and adjacent sides is tangent.

\(tan=\frac{opposite}{adjacent}\)

\(tan=\frac{21}{25}\)

\(tan^-^1=40\)

Answer:

12

Step-by-step explanation:

Ratio of adults to children = 3 : 11

Let

x = number of adults at the party

32 + x = number of children at the party

Ratio of adults to children = x : (32 + x

Equate both ratios

3 : 11 = x : 32 + x

3/11 = x : (32 + x)

Cross product

3 * (32 + x) = 11 * x

96 + 3x = 11x

96 = 11x - 3x

96 = 8x

x = 96/8

x = 12

x = number of adults at the party = 12

Answer: the

Step-by-step explanation:

The equation of the given line is y = 2x

The standard equation of a line is y = mx + b

From the graph, we can use the coordinate point (1, 2) and (2, 4)

Get the slope

m = 4-2/2-1

m = 2/1

m = 2

Since the line pass through the origin, hence b = 0

Get the required equation:

y = 2x + 0

y = 2x

Hence the equation of the given line is y = 2x

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Probability or p-vale that the sample mean would differ from the population mean by less than 221 miles in a sample of 56 tires is equals to zero if the manager is correct.

We have data of an operation manager at a tire manufacturing company.

Mean mileage of a tire, \( \mu\)

= 37,014 miles

standard deviation, \( \sigma\)

= 4617 miles.

Sample size, n = 56

We have to determine the probability that the sample mean would differ from the population mean by less than 221 miles. Using Z-score formula in normal distribution, \(\small z= \frac{ \bar x-\mu }{\frac{\sigma }{\sqrt{n}}},\)

Plugging all known values in above formula, \(z = \frac{ 221 - 37,014} {\frac{4617}{ \sqrt{56}}}\)

= 59.634

\(P( \bar x < 221) = P ( \frac{ \bar x-\mu }{\frac{\sigma }{\sqrt{n}}} < \frac{ 221 - 37,014} {\frac{4617}{ \sqrt{56}}}) \\ \)

=> P ( z < 59.63) = P( \bar x < 221)

Using the Z-distribution table, probability value is equals to 0. Hence, required probability is zero.

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As per the scatter plot the association between the population of various states in the US and the number of cell phone users is strong, weak, and moderate. Thus option One is correct.

A scatter plot is a scatter graph that shows and compares the individual values and correlates them with the variables.

Here the case of cell phones in the US is shown as strong as the line is positively correlated and more than half of the people use cell phones thus it's moderate.

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Answer:

strong

positive

the same

Step-by-step explanation: read the question instead of just copying and pasting into another tab its really simple. Strong because all the dots are really close to each other, positive becasue the dots are leading up, and the same because its literally the same if you put them 2 dots on

EDMENTUM this will correct

Answer:

Reduce 9/4 to lowest terms

94 is already in the simplest form. It can be written as 2.25 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Answer:its c or d hope i help

Step-by-step explanation:

Answer:

2940π square feet.

Step-by-step explanation:

The exact surface area of a cylinder is given by the formula:

2πr² + 2πrh

where r is the radius and h is the height.

Substituting the values given in the question, we have:

2π(30)² + 2π(30)(19)

Simplifying:

2π(900) + 2π(570)

2π(900 + 570)

2π(1470)

The exact surface area of the cylinder is:

2940π square feet.

Answer:

See attachment for graph

Step-by-step explanation:

See comment for correct question

Given

\(y = \log_bx\)

Required

The corresponding points on \(y =b^x\)

On the graph, we have:

\((x_1,y_1) \to (1,0)\)

\((x_2,y_2) \to (2,1)\)

\((x_3,y_3) \to (4,2)\)

\((x_4,y_4) \to (8,3)\)

\((x_5,y_5) \to (16,4)\)

First, we solve for b in \(y = \log_bx\)

Using laws of logarithm, the equivalent of the above is:

\(x = b^y\)

\((x_2,y_2) \to (2,1)\) implies that:

\(2 = b^1\)

\(2 = b\)

Rewrite as:

\(b =2\)

So, the equation \(y =b^x\) becomes:

\(y = 2^x\)

Using the same values of x, we have:

\((x_1,y_1) = (1,2)\)

\((x_2,y_2) = (2,4)\)

\((x_3,y_3) = (4,16)\)

\((x_4,y_4) = (8,256)\)

\((x_5,y_5) = (16,65536)\)

See attachment for graph

The points (1,2), (2,4), and (4,16) are plotted on the graph attached below and this can be determined by using the given data.

Given :

Logarithmic Function  --  \(\rm y = log_b(x)\)    --- (1)

The following steps can be used in order to determine the corresponding points that must be on the graph \(\rm x = b^y\):

Step 1 - Now, substitute the value of x and y that is (2,1) in the expression \(\rm x = b^y\).

\(\rm 2 = b^1\)

b = 2

Step 2 - Now, substitute the value of b in the equation \(\rm y=b^x\).

\(\rm y = 2^x\)    --- (2)

Step 3 - At (x = 1) the above expression becomes:

y = 2

Step 4 - At (x = 2) the expression (2) becomes:

y = 4

Step 5 - At (x = 4) the expression (2) becomes:

y = 16

The graph of \(\rm y = 2^x\) is attached below.

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Answer:

y=150x+50

y=200+150x

Step-by-step explanation:

y=150x+50

y=200+150x

Taner will only need to run 3 km this week to complete his 6 km running goal.

If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.

Given that, Taner's overall running goal is 6 km (including last week and this week)

So,

Taner's 2-week goal is 6 kilometres.

Now,

Taner's goal for the week is 3 kilometres = (6/2).

As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.

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Answer:

:P

Step-by-step explanation:

Answer:

D) 40

Step-by-step explanation:

Two sides are equal and so the angles opposite to equal sides are equal.

x +  70 + 70 = 180  {Angle sum property}

       x + 140 = 180

               x = 180 - 140

               x = 40

Answer:

1. B: 12 BB 18 FB,, 2.

Step-by-step explanation:

1. make the equation (198 + 33x) + 24x = 882 because there are a certain number of each ball (x) and 6 more footballs. since each football is 33 dollars, you do 33 x 6 which is 198, and then keep 33x and 24x. It is all equal to 882 since that is the final price. First, you subtract 198 on each side and combine the like terms (33x + 24x). Now it is 684= 57x and you divide 684 by 57, which equals 12. That means that there are 12 basketballs and 12 + 6 footballs, which is 18.

2. You cannot solve the problem or do any problem without distributing first. I'm unsure how else to explain it.

To begin solving this problem, we need to determine the dimensions of the rectangular region that the farmer will fence in. Let's say the length of thr uses, is given by the equation:
e rectangle is L and the width is W. The perimeter of the rectangle, which will be the length of fencing the farme
2L + W = 350

Solving for W, we get:

W = 350 - 2L

Next, we need to divide the rectangular region into three smaller rectangles by placing two parallel fences. Let's say the two fences are placed along the length of the rectangle, dividing it into three sections with widths of x, y, and z. Therefore, we have:

L = x + y + z

Now, we can determine the area of the entire fenced-in region by summing the areas of the three smaller rectangles. The area of a rectangle is given by the equation:

Area = Length x Width

Therefore, the total area of the fenced-in region is:

Area = (xW) + (yW) + (zW)

Substituting W = 350 - 2L and L = x + y + z, we get:

Area = (x(350-2(x+y+z))) + (y(350-2(x+y+z))) + (z(350-2(x+y+z)))

Simplifying this equation, we get:

Area = 350(x+y+z) - 2(x^2 + y^2 + z^2)

To maximize the area, we need to take the derivative of this equation with respect to one of the variables (x, y, or z), set it equal to zero, and solve for the variable. This process is too complicated to do by hand, so we will use a calculator or computer program to find the maximum area.

After finding the maximum area, we can determine the dimensions of the region that give us this maximum area. We do this by using the equations we derived earlier:

W = 350 - 2L

L = x + y + z

With the maximum area and these equations, we can solve for the dimensions of the region that give us the maximum area.

In summary, the farmer should fence in a rectangular region with dimensions that maximize the total area of three smaller rectangles created by placing two parallel fences. The maximum area can be found by taking the derivative of the area equation and setting it equal to zero. The dimensions of the region that give us the maximum area can be found by using the equations we derived earlier.

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The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

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Answer:

1) Yes

2) No

Step-by-step explanation:

Substitute the x and y values of the given points into the equation and solve. If the result is a true statement, then they are solutions.

1) First, substitute the x and y values of (1,1.5) for the x and y in the given equation. Then, solve. (You can convert 1.5 from a decimal to a fraction, making it \(\frac{3}{2}\).)

\(1.5= \frac{1}{4} (1) + \frac{5}{4} \\\frac{3}{2} = \frac{1}{4} +\frac{5}{4} \\\frac{3}{2} = \frac{6}{4} \\\frac{3}{2} = \frac{3}{2}\)

The result is a true statement. Thus, (1, 1.5) is a solution to the equation.

2) Do the same with the point (12,4):

\(4 = \frac{1}{4} (12) + \frac{5}{4} \\4 = 3 + \frac{5}{4} \\4 = \frac{12}{4} +\frac{5}{4} \\4 \neq \frac{17}{4}\)

The result is a false statement. The two values are not equal. Thus, (12,4) is not a solution to the equation.

Answer:

Y=16x+86

Step-by-step explanation:

Answer: Im not giving answer to that but i will do this one

A water tank holds 256 gallons but is leaking at the rate of 3 gallons per week. A second water tank holds 384 gallons and is leaking at a rate of 5 gallons per week.After how many weeks will the amount of water in the two tanks be the same.

Step-by-step explanation:

you have: one is leaking 3 gallons per week and holds 256 gallons; whereas, the other one is leaking 5 gallons per week and holds 384 gallons.

Set up both the equations....

In y=mx+b form--->>>

y=-3x+256

y=-5x+384

To figure out when they will be equal..set the equations equal to each other....(remember to isolate the variable)

-3x+256=-5x+384

-3x+256=-5x+384

     -256        -256

-3x=-5x+128

-3x=-5x+128

+5x+5x

2x=128

x=64

After 64 weeks the amount of water in both tanks will be the same.

Thus, your answer.

An equation that represent the total number of movies that she will watch in m months is y=3m.

What is equation?

 The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

Here given , Heather plans to watch 3 movies each month.

Let us take Total number of movies as y and number of month as m.

=> total number of movies = 3* number of months

=> y = 3m.

Therefore an equation that represent the total number of movies that she will watch in m months is y=3m.

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The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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The average value of the function f(x) = 6x over the interval [0, 9] is 27.

To find the average value of a function over a given interval, you need to take the definite integral of the function over that interval, and divide by the length of the interval. In this case, the function is f(x) = 6x, and the interval is [0, 9].

So first, we need to find the definite integral of 6x over [0, 9]:

∫[0,9] 6x dx = 3x^2 |[0,9] = 243

Next, we need to find the length of the interval, which is simply 9 - 0 = 9.

Finally, we divide the definite integral by the length of the interval:

Average value of f(x) = (1/9) * 243 = 27

So the average value of the function f(x) = 6x over the interval [0, 9] is 27.

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Answer:

1 and 3

Step-by-step explanation:

In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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Answer: March to April shows the least increase of average temperature.

Answer:

It’s d

Step-by-step explanation:

The solution of the given initial value problem is:y(t) = (2/21)(sin t - 1/2)\(e^(-t/2)\)Check:

Given: y'' + y' + 5/4y = g(t); y(0) = 0, y'(0) = 0; g(t) = { sin t, 0 < t < π0, t > πTo find:

The solution of the given initial value problem.

Solution:We can find the solution of the given initial value problem in the following ways.

Determine the homogeneous solution: y'' + y' + 5/4y = 0Characteristic equation is m² + m + 5/4 = 0(m + 1/2)² + 1/16 = 0(m + 1/2)² = -1/16m + 1/2 = ± (i/4)

So the solution of the homogeneous differential equation:

y_h(t) = c₁ cos(t/2) + c₂ sin(t/2)where c₁ and c₂ are constants.Particular integral, y_p(t):g(t) = { sin t, 0 < t < π0, t > πHence, the solution of the given differential equation:

y(t) = y_h(t) + y_p(t)y(t) = c₁ cos(t/2) + c₂ sin(t/2) + (2/21)(sin t - 1/2)\(e^(-t/2)\)So, the solution of the given initial value problem is:y(t) = (2/21)(sin t - 1/2)\(e^(-t/2)\)Check:

Let's check if the given function satisfies the initial conditions.y(0) = (2/21)(sin 0 - 1/2)\(e^(0/2)\)= -1/21y'(0) = [(2/21)cos0 + (1/2) (2/21) (-1/2) ]\(e^(0/2)\)= 0

The given initial conditions are satisfied.

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Answer:

Step-by-step explanation:

rewrite 9-6x+\(x^{2}\) as \(x^{2}\)-6x+9.  (this step isn't necessary, but it's easier when the bigger term is in front)

There's two ways: using the quadratic formula, or just doing it in your head (for simple ones)

For the simple way:

think about what numbers not only multiply to equal c (represented by 9 in this case) but also add to equal -6 (represents b in this problem).  There are two numbers for this problem that work: -3 and -3.  So you would write the factored form as (x-3)(x-3)

Quadratic formula:

The formula is \(\frac{-b}{2a}\) ±\(\frac{\sqrt{b^{2}-4ac } }{2a}\)

This formula works for equations in the form of a\(x^{2}\)+bx+c.

Substitute in the values to get:

\(\frac{6}{2} +\frac{\sqrt{-6^{2} -4(1)(9)} }{2}\)

simplify:

3±\(\frac{\sqrt{36-36} }{2}\)

3±\(\frac{0}{2}\)

the answer is 3, which is the x-intercept.  Write that as (x-3)(x-3)