a researcher is interested in the travel time of utrecht university students to college. a group of 50 students is their mean travel time in 16.7 minutes. for this study the mean of 16.7 minutes is an example of a(n)

It would take the two painters together eight hours to paint the house

Step-by-step explanation: Given that, One painter can paint the entire house in twelve hours. The second painter takes eight hours to paint a similarly-sized house. To find, How long would it take the two painters together to paint the house? Suppose one painter takes x hours to paint the house.

Therefore, the other painter will take x-4 hours to paint the same house. According to the question, \(1/x+1/(x-4)=1/12+1/8\) Multiply by LCM, \(8(x-4)=12x+12(x-4)8x-32=6x+484x=80x=20\)Therefore, the first painter will take 20 hours to paint the house. The second painter will take 16 hours (20-4). Together they will take, \(1/20+1/16=0.1+0.0625=0.1625\) Thus, they will take 6.1538 hours which can be rounded to 4.8 hours.

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Step-by-step explanation:

\( \implies \sf{(x - 1) {}^{2} + (x + 1)(x - 1)} \\ \implies \sf{x}^{2} + {(1)}^{2} - 2(x)(1) + {x}^{2} - {(1)}^{2 } \\ \implies \sf {x}^{2} + 1 - 2x + {x}^{2} - 1 \\ \implies \red{\sf 2 {x}^{2} - 2x}\)

Hence, solved!

Answer:

Step-by-step explanation:

v = π · r² · h

v = π · 5² · 10

v = 25· 10π

v = 250π

v =785.39816339

v =785.4

The equation that matches the number of bacteria in the population after 2 hours is \(y = 300 * 2^2\), where y is the number of bacteria and \(2^2\) is the exponential term representing the doubling of the bacteria every hour.

In the lab experiment, the population of bacteria is doubling every hour, so after 2 hours, the number of bacteria will be 2 times the initial number of bacteria for each of the 2 hours, or \(2^2\) times the initial number of bacteria.

So, the equation for the number of bacteria after 2 hours is \(y = 300 * 2^2\), where y is the number of bacteria and 300 is the initial number of bacteria. This equation calculates the number of bacteria in the population after 2 hours by multiplying the initial number of bacteria by 2 raised to the power of the number of hours the bacteria has been doubling, or \(2^2\) in this case.

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According to the information, it can be inferred that the total content of the box is 45 bandages in a ratio of 3:5.

To identify the correct option we must take into account the proportion of bandages of each type that are in the box. Based on this information, we must identify a number in which the proportion of bandages is maintained. Based on the above, the correct answer would be 45, since this number can maintain the proportion of the bandages as shown below.

Additionally, the other answer options are not correct because the proportion of bandages of different types is not maintained.

Note: This question is incomplete because there is some information missing. Here is the complete information:

Options:

A.25

B.30

c.45

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Answer:

Step-by-step explanation:

The product of two numbers is greater than one of the multiples if the other multiple is greater than 1.

a)

b)

c)

d)

#1

Yes

#2

No

#3

No

#4

Yes

Answer:

your answer would be $66.78 !

Step-by-step explanation:

hope this helps you! :)

Answer:

The inequalities have the same solutions.

Step-by-step explanation:

hope this helps

Step-by-step explanation:

There is inconsistency in the given statement and no solution

Explanation:

y

=

2

x

+

⋅

2

x

−

y

=

−

8

,

Eqn (1)

3

⋅

(

−

2

x

+

y

)

=

12

−

6

x

+

3

y

=

12

2

x

−

y

=

−

4

Eqn (2)

It may be seen, L H S of equations (1) & (2) are same but not R H S.

Hence there is inconsistency in the given statement and no solution

Answer:

There is a negative correlation in the data set

Step-by-step explanation:

B

The correlation between the variables as shown is a negative correlation.

A scatter plot is a plot or graph that shows the association between two variables. It can be used to ascertain the correlation between variables at a glance.

Hence, we can see from the scatter plot as shown in the image attached to the question that the correlation between the variables as shown is a negative correlation.

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6=30

12=60

15=80

Step-by-step explanation:

for 6 mini she will use 30 pepperoni slices

if she uses 60 pepperoni slices =12 mini

for 16 mini she will use 80 pepperoni slices.

For confirmation use the graph table.

Answer:

\(x=-2\)

Step-by-step explanation:

\(2x + 4 = 0\)

Subtract 4 from both sides:-

\(2x+4-4=0-4\)

\(2x=-4\)

Divide both sides by 2:-

\(\frac{2x}{2}=\frac{-4}{2}\)

\(x=-2\)

OAmalOHopeO

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf2x+4=0\)

Subtract 4 from both sides. Anything subtracted from zero results in its negation.

\( \sf2x=-4 \)

Divide both sides by 2.

\( \sf \: x=\frac{-4}{2} \\ \)

Divide -4 by 2 to get -2.

\( \boxed{ \boxed{ \bf \: x=-2 }}\)

The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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Answer:

9.09

Step-by-step explanation:

Pythagorean Theorem: a² + b²  =  c²

When looking at the triangle we see that we have the hypotenuse and the opposite side.

a = opposite

b = adjacent

c = hypotenuse (always)

So if we plug those numbers into the equation we can get the missing side length

1) a² + b²  =  c²

2) 9.7² + b² = 13.3²

3) b² = 13.3² - 9.7²

4) b² = 176.89 - 94.09

5) b = \(\sqrt{176.89 - 94.09}\)

6) b = 9.093954036

Now we round to nearest hundredth

To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,

b = 9.09

Answer:

96

Step-by-step explanation:

Arc is double the amount of the inscribed angle

When every length in the cylinder is decreased by 60%, the volume of the cylinder decreases by approximately 85.6%.

Let's assume the original diameter and height of the cylinder are both represented by "d". The original volume of the cylinder can be calculated as V = π * (d/2)^2 * d.

When every length in the cylinder is decreased by 60%, the new diameter and height become 0.4d (40% of the original value). The new volume of the cylinder can be calculated as V' = π * (0.4d/2)^2 * (0.4d).

To find the percent decrease in volume, we can calculate (V - V') / V * 100.

Substituting the values, we have:

Percent decrease in volume = [(V - V') / V] * 100

Percent decrease in volume = [(π * (d/2)^2 * d - π * (0.4d/2)^2 * (0.4d)) / (π * (d/2)^2 * d)] * 100

Simplifying further, we get:

Percent decrease in volume = [(1 - 0.4^3) / 1] * 100

Evaluating the expression, we find:

Percent decrease in volume ≈ 85.6%

Therefore, the volume of the cylinder decreases by approximately 85.6% when every length is decreased by 60%.

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When on a stem and leaf plot and it does not show a number on the right side and only on the right side, the number on the right side would be zero.

A stem and leaf plot is a method of organizing numerical data into groups. It is a visual representation of a dataset in which each value is separated into a stem and a leaf. A stem is the left-hand digit(s) of the value, while a leaf is the right-hand digit(s).

The stem and leaf plot contains two columns, one for the stem and the other for the leaf. The stem values are arranged vertically in the left-hand column, and the leaf values are arranged horizontally in the right-hand column. The leaf column should be read from left to right to extract the values.

When a value appears multiple times, its leaves are stacked on top of one another. The stem and leaf plot is an effective method for representing data, particularly when dealing with large datasets.

Hence, If a stem and leaf plot displays a number only on the left side and not on the right side, then the number on the right side would be interpreted as zero.


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The length of each side of the octagon with area of 576 square centimeters and an apothem of 16 centimeters is  9  centimeters .

Compared to lower sided shapes, an octagon's area is a little more complicated. A normal octagon's area is equal to 4 as. Where "s" stands for the octagonal side and "a" for the apothem, which runs straight from the pentagon's center to one of its sides.

The formula for the area of a regular octagon is:

A = 4 × apothem × side

Using this formula and the given values, we can solve for the length of each side of the octagon:

576 = 4 × 16 × side

Dividing both sides by 4 × 16, we get:

side = 576 ÷ (4 × 16)

Simplifying the right-hand side, we get:

side = 576 ÷ 64 = 9 cm.

Therefore, the length of each side of the octagon is  9 cm .

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Answer:

Step-by-step explanation:

Answer:

y = 3/4x + 2

Step-by-step explanation:

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

m+1=-2m-8

-3+1=-2(-3)-8

-2=-2(-3)-8

-2=6-8

-2=-2

By using standard deviation, it can be concluded that

The given estimate of standard deviation = 3 is not true

What is Standard Deviation?

At first, it is important to know about variance.

Variance is the sum of the square of deviation from mean divided by the total number of observations. Standard Deviation is the square root of variance.

Highest number = 40 and lowest number  = 22

Range = 40 - 22 =18

Standard deviation = \(18 \div 4\)

Standard deviation = 4.5

So the above statement is false

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"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)

\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)

and

\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)

Use this antiderivative to compute the following improper integral:

\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)

For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?

Evaluate the existing limit to compute the Laplace transform of  on the domain you determined in the previous part:

\(\[L\{e^t \cos(3t)\\).

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Answer: B. 4 × 10⁻⁵

Step-by-step explanation:

0.00003762 = 3.762 × 10⁻⁵ ≈ 4 × 10⁻⁵

Answer:

b

Step-by-step explanation:

\(4 \times {10}^{ - 5} = 4 \times \frac{1}{100000} \)

Answer:

The answer is d

Step-by-step explanation:

simplyfied into the simpiliest form possible

Therefore, the yearly fund that the orphanage will be receiving in perpetuity is Php 82,776.01 (rounded off to two decimal places).

Given that the principal amount deposited by Diego = Php 1,000,000, the interest rate = 20% compounded annually and the period for which the fund is given to the orphanage in perpetuity is one year after five years.

In order to determine the yearly fund the orphanage will be receiving, we need to calculate the amount that will be accumulated after five years on the principal amount using the formula for the future value of a single payment: FV = PV(1 + i)^n Where, FV = future valuePV = present valuei = annual interest raten = time periodSo, substituting the values in the formula we get: FV = 1,000,000(1 + 0.2)^5= 1,000,000(1.2)^5= 1,000,000(2.48832)= Php 2,488,320 So, the amount that will be accumulated after five years on the principal amount is Php 2,488,320.

Now, we need to calculate the yearly fund that the orphanage will be receiving in perpetuity using the formula for the present value of an annuity:PVA = A((1 - (1 + i)^-n)/i)

Where,PVA = present value of an annuityA = annuityi = annual interest raten = time periodSo, substituting the values in the formula we get:2,488,320 = A((1 - (1 + 0.2)^-1)/0.2)Multiplying both sides of the equation by 0.2, we get:497,664 = A(1 - (1.2)^-1)Multiplying both sides of the equation by (1 - (1.2)^-1), we get:497,664(1 - (1.2)^-1) = AA = 497,664(1 - 1/1.2)= 497,664(1 - 0.8333)= Php 82,776.01.

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Answer:

No because 3x is variable and 3 is constant

Answer:

No

Step-by-step explanation:

Like terms is when a variable is raised in the same power. In this case 3xx and 3 are not like terms. An example of a like term would be 3x and 6x because they have both x.

Answer:

78

Step-by-step explanation:

102+x=180

x=180-102

x=78

Answer:

Friend A pays $340 and friend B pays $510

Step-by-step explanation:

Let's call

x: payment of friend A

1.5x: payment of friend B

The sum of both payments must total $850, thus:

x + 1.5x = 850

Simplifying:

2.5x=850

x = 340

Now for friend B:

1.5x=1.5*340=510

Friend A pays $340 and friend B pays $510