To collect data on student opinions of BU's dining services, you ask the Dean of Students for an email list for all students on campus, and use the RAND() function in Excel to select a sample of students. This would be an example of: Judgement Sampling O Simple Random Sampling Convenience Sampling Systematic Random Sampling

Answer:

a₄ = 256

Step-by-step explanation:

Using the given definition , then

a₂ = a₁² = 2² = 4

a₃ = a₂² = 4² = 16

a₄ = a₃² = 16² = 256

Answer:

256

Step-by-step explanation:

a₁ = 2

a₂ = (a₁)² =  2 ² = 4

a₃ = (a₂)² = 4² = 16

a₄ = (a₃)² = 16² = 256

Answer:

-6(a+8) simplified using distributive property would equal -6a+-120

Step-by-step explanation:

A straight line that continuously approaches a certain curve without ever meeting it is an asymptote. In other words, an asymptote is a line that a curve travels towards as it approaches infinity.

Set the denominator to zero and solve for x to discover the vertical asymptotes. Set each factor to zero and solve as this has already been factored. The asymptotes are expressed as equations of lines since they are lines. Asymptotes for the vertical line are x = 3 and x = 1.

An asymptote of a curve in analytic geometry is a line where the distance between the curve and the line gets closer to zero as one or both of the x or y coordinates tends to infinity.

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9.) The transformation performed in the function\(f(x) = \frac{1}{2}^{-x}\) is a reflection across the x-axis.

10.) The transformations performed in the function \(f(x) = -log_5(x-2)+17\)are a reflection across the x-axis, a vertical shift upward by 17 units, and a horizontal shift to the right by 2 units.

12.) The horizontal asymptote of f(x) = 4^x + 6 is y = +∞.

What is the transformation of the function?

The term "transformation of a function" refers to the process of altering the appearance of a function, either by shifting, stretching, or reflecting it along the coordinate axes.

9.) The transformation performed in the function \(f(x) = \frac{1}{2}^{-x}\) is a reflection across the x-axis.

10.) The transformations performed in the function\(f(x) = -log_5(x-2)+17\)are a reflection across the x-axis, a vertical shift upward by 17 units, and a horizontal shift to the right by 2 units.

12.) The horizontal asymptote of f(x) = 4^x + 6 is y = +∞. As x approaches positive infinity, the value of 4^x approaches positive infinity, making the value of the function approach positive infinity.

Hence,

9.) The transformation performed in the function\(f(x) = \frac{1}{2}^{-x}\) is a reflection across the x-axis.

10.) The transformations performed in the function \(f(x) = -log_5(x-2)+17\)are a reflection across the x-axis, a vertical shift upward by 17 units, and a horizontal shift to the right by 2 units.

12.) The horizontal asymptote of f(x) = 4^x + 6 is y = +∞.

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Answer: 1281.9468125

Step-by-step explanation:

Answer:

152

Step-by-step explanation:

6840 divided by 45 is 152

Answer:

AD=23 because it is the same length as the top line. 12+4 is 16 and 23-16=7. X=7

Step-by-step explanation:

Answer:

equation of g(x) is 3-x

then,,

ie.. g(x)=3-x

Answer:

8m+3

Step-by-step explanation:

Let m be the number of lemon used in a pitcher of lemonade.

Serena sold 8 pitchers of lemonade, therefore she used 8m lemons.

Since there is a leftover of 3 lemons, we add:8m+3

Therefore:

Total number of lemons Serena has can be determined by the expression: 8m+3

where m is the number of lemons used in one pitcher of lemonade.

Answer:

Because decimal stands to zero 0.15 would be multipled by 10 to get 15

Answer:

Y = 10x + 20

Step-by-step explanation:

sorry if im wrong

Answer:

y = 2x - 4

Step-by-step explanation:

10x - 5y = 20

Subtract 10x both sides

-5y = 20 + (-10x)

Divide by -5

y = -4 + 2x

y = 2x + (-4)

Probability of the null hypothesis being true is greater than the significance level.

The probability that the null hypothesis is true depends on the significance level set before the hypothesis test. In this case, the significance level was set at 0.05 and the p-value obtained was 0.10. This means that the probability of the null hypothesis being true is greater than the significance level (0.10 > 0.05), so the null hypothesis cannot be rejected.

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Answer: It is complicated. I think you can graph it. The internet said that is was undoable.

Step-by-step explanation:

Answer:

time of one revolution is y and mean distance from the sun is x

Step-by-step explanation:

Answer:

Step-by-step explanation:

This choice is not critical.  A scatter plot of time versus distance would work well here, but so would one of distance versis time.  The latter is more commonly used

If the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.

Given that the faster car is travelling 20 mph faster than slower car and when slower car travels 165 miles the faster car travels 225 miles.

We are required to find the speed of slower car and faster car.

let the speed of slower car be x mph.

In this way the speed of faster car be (x+20) mph.

Speed=Distance/ time

We have to first take slower car.

x=165/Time

Time=165/x-----------1

Now by taking faster car.

x+20=225/time

Time=225/(x+20)-------2

From equation 1 an equation 2.

165/x=225/(x+20)

225x=165x+3300

225x-165x=3300

60x=3300

x=55 mph

Faster car=55+20

=75 mph.

Hence if the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.

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Ivanna earns $2,400 if she doesn't sell any copies of history is fun.

Ivanna makes an extra $120 ($120) for each additional copy she sells and a loss of $120 ($120) for each fewer copy.

If Ivanna doesn't sell any copies of History is Fun, her total compensation is $2,400.

Ivanna makes a total salary of y = 2,400 + 120x, where x is the quantity of copies of her book History is Fun she sells.

We compare the compensation for two successive values of y to determine the change in Ivanna's pay.

We must estimate y when x exists of consecutive values i.e. 1, 2, 3, 4

We compute the value of y when x = 1, 2 and 3.

When x = 1, y = 2,400 + 120 (1) = 2,400 + 120 = $2,520.

When x = 2, y = 2,400 + 120 (2) = 2,400 + 240 = $2,640.

When x = 3, y = 2,400 + 120 (3) = 2,400 + 360 = $2,760.

To estimate the increase in her pay for a copy, we subtract y when x = 2 from y when x = 3.

(y when x = 3) - (y when x = 2) = $2,760 - $2,640 = $120.

So for every extra copy, Ivanna gets an extra $120.

To estimate the decrease in her pay for a copy, we subtract y when x = 3 from y when x = 2.

(y when x = 2) - (y when x = 3) = $2,640 - $2,760 = -$120.

So for every less copy, Ivanna loses $120.

To estimate her pay when she doesn't sell any copies of history is fun, we substitute the value of x as 0 in y.

When x = 0, y = 2,400 + 120 (0) = $2,400.

So Ivanna earns $2,400 if she doesn't sell any copies of history is fun.

The complete question is:

Ivanna is a software saleswoman. Let y represent her total pay (in dollars). Let x represent the number of copies of History is Fun she sells. Suppose that x and y are related by the equation 2400+120x = y.

Answer the questions below.

Note that a change can be an increase or a decrease.

For an increase, use a positive number. For a decrease, use a negative number.

What is the change in Ivanna's total pay for each copy of History is Fun she sells?

What is Ivanna's total pay if she doesn't sell any copies of History is Fun?

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25x -15y -40z +45 =0 is the equation of the plane that passes through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1).

Let the given points be P(2 , 1 , 2) ,Q(3 , -8 , 6) and R(-2 , -3 ,1)

PQ = (3-2 , -8-1, 6-2)

     =(1 , -9, 4)

PR = (-2 -2,-3-1 ,1-2)

     =( -4 ,-4 ,-1 )

→PQ * →PR = \(\left[\begin{array}{ccc}i&j&k\\1&-9&4\\-4&-4&-1\end{array}\right]\)

             =(9+16)i + (-16+1)j + (-4 -36)k

              =  25i - 15j - 40k

Therefore , the normal vector to the plane is

→n = (25 , -15 ,-40)

Since , the plane passes through all the three points we can choose any point to find its equation .So,the equation of the plane through the point P(2,1,2) with normal vector

→n = (25,-15,-40) is

25(x-2) - 15(y-1) -40(z-2) =0

⇒25x - 50 -15y + 15-40z+80=0

⇒25x -15y -40z +45 =0

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\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-5)}}}\implies \cfrac{-6}{5+5}\implies \cfrac{-6}{10}\implies -\cfrac{3}{5}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-\cfrac{3}{5}}(x-\stackrel{x_1}{(-5)}) \implies y-1=-\cfrac{3}{5}(x+5) \\\\\\ y-1=-\cfrac{3}{5}x-3\implies y=-\cfrac{3}{5}x-2\)

Answer:

Axis of symmetry

y-intercept

x-intercepts

Vertex

(I forgot the last one)

Step-by-step explanation:

Answer:

-5.4

Step-by-step explanation:

because -3 x 1.8= -5.4

Answer: -5.4

Step-by-step explanation: 1.8b means to multiply 1.8 by b and b=-3 therefore, 1.8(-3)= -5.4

Hope this helps ^_^

The boat will coast approximately 16752.9 feet (or about 3.17 miles) in the first 2 minutes after its motor quits.

From the problem statement, we know that the velocity of the boat, v, changes from 83 ft/s to 23 ft/s over a period of 1 second. Therefore, we can write:

\(dv/dt = -k v^2\)

Separating variables and integrating from v = 83 at t = 0 to v = 23 at t = 1, we get:

\(∫83^23 dv / v^2 = ∫0^1 -k dt\)

=> [1/83 - 1/23] = k

So the equation for the velocity of the boat as it coasts is:

\(dv/dt = -[(1/83 - 1/23)] v^2\)

The differential equation is separable:

\(dv/v^2 = -[(1/83 - 1/23)] dt\)

Integrating both sides, we get:

-1/v = [(1/83 - 1/23)] t + C

where C is an integration constant. Using the initial condition v(0) = 83, we get:

C = -1/83

Substituting this back, we have:

-1/v = [(1/83 - 1/23)] t - 1/83

Solving for v, we have:

v(t) = 83 / [1 + (83/23 - 1) t]

To find the distance traveled, we integrate v(t) from t = 0 to t = 120:

s =\(∫0^120 v(t) dt\)

Substituting v(t) and simplifying, we have:

s = 23 ln(1 + 3.6087t) + 60.391t + C

where C is another integration constant. Using the initial condition s(0) = 0, we get:

C = 0

Therefore, the distance traveled by the boat in the first 2 minutes after its motor quits is:

s = 23 ln(1 + 3.6087t) + 60.391t

Evaluating this expression at t = 120 seconds, we get:

s = 23 ln(433.044) + 7246.92 ≈ 16752.9 ft

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Answer:

a) we have the numbers 0, 2, 3, 5, 5. The mean and the median are both 3

b) we have the numbers 0, 0, 3, 5, 7. The mean and the median are both 3

In both cases the mean and the median are 3, but the mode differs. The mean and the median do not uniquely determine the mode.

Step-by-step explanation:

AnswerIf the number of data points is even, the median is the average of the two middle data points in the list.:

Step-by-step explanation:

The quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.

It should be noted that logarithm, is the exponent or power to which a base must be raised to get a given number.

We can apply the quotient rule to find the differentiation of a function.

In this case, the quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.

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Answer:

the anwser is c plz give brainlist

Answer:

34,163.28

Step-by-step explanation:

The inequality equation for the measurements of the rectangular field must satisfy t<225.

If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.

The length of the rectangle is 2t meters

the breadth of the rectangle is 50 meters

The perimeter of the rectangle is given by 2×(length+breadth)

Here the perimeter of rectangle is less than 1km=1000meter

Forming an equation with the given data

2×(2t+50)<1000

2t+50<\(\frac{1000}{2}\)

2t+50<500

2t<500-50

2t<450

t<\(\frac{450}{2}\)

t<225

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The correct question is "A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t when length of the field is 2t meters and breadth is 50 meters"

Answer:

Id say d

Step-by-step explanation:

Answer:

21.7

Step-by-step explanation:

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

21.7

Step-by-step explanation:  

0.6h=13.02

h=13.02/0.6

h=21.7