if the area of a car wheel is 49π sq. inches, how many revolutions does the wheel undergo if the car travels a distance of 112π inches?

Answer:

13 units

Step-by-step explanation:

Using the right triangle formed by the 2 legs and the slant height s

The legs are 12 and 10 ÷ 2 = 5, with hypotenuse s

Using Pythagoras' identity in the right triangle, then

s² = 12² + 5² = 144 + 25 = 169 ( take the square root of both sides )

s = \(\sqrt{169}\) = 13

When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.

Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.

Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.

The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.

In order to get a sum of 9, there are four combinations that can be rolled:

3 + 3 + 3 = 9

3 + 4 + 2 = 9

3 + 5 + 1 = 9

4 + 3 + 2 = 9

The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2

= (1/216) + (3/216) + (3/216) + (3/216)

= 10/216 or 5/108.

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Answer:

(2,-7)

Step-by-step explanation

0x,3y         1x,-2y         (2,-7)

                Midpoint

the midpoint is +1x -5y so you would do this again to the midpoint so +1x=2x and -5y= -7 making it (2,-7)

the cell in g1 in a 2n=4 configuration

The below illustration represents a cell in the G1 phase with a 2n=4 configuration.

To draw a cell in the G1 phase with a 2n=4 configuration, follow these steps:

1. Begin by drawing a circular or oval shape to represent the cell.

2. Inside the cell, draw a smaller circle or oval to represent the nucleus.

3. In the nucleus, draw four chromosomes (X-shaped structures) to represent the 2n=4 configuration.

Since it is in the G1 phase, the chromosomes have not duplicated yet.

4. Label the cell as "G1" to indicate that it is in the G1 phase of the cell cycle.

This illustration represents a cell in the G1 phase with a 2n=4 configuration.

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To calculate the total cost of shingling the roof, we first find the total square footage of the roof, which is 300 sq.ft. We then multiply this by the cost per square foot of the shingles, $2.13, to get a total cost of $639.

The first step is to calculate the total square footage of the roof. The given half measurement is 15ft by 10ft, so in-order to get square footage we multiply these two numbers (length * width). 15ft * 10ft = 150sq.ft. Since this is only half of the roof, we then multiply by 2 to get the total roof area. So, 150sq.ft * 2 = 300sq.ft.

The next step is to find the total cost. If the cost of 1 sq.ft. of shingles is $2.13, we just multiply the total area by the cost per square foot.  So, 300sq.ft. * $2.13/sq.ft = $639.

Therefore, it will cost $639 to shingle the entire roof.

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Answer:

first off i just want to say i hate aleks but ill still give the answer

Step-by-step explanation:

1.75^-0.5 = 0.75592894

3/2^2.4 = 2.6461778

Answer:

\(\boxed{\begin{bmatrix}  3 & - 1 \\ - 3 & 4\end{bmatrix} = 12 - 3 = \boxed{9} }\\ \\ \boxed{\begin{bmatrix}   -12 & - 1 \\ 12 & 5\end{bmatrix} = - 60- ( - 12) = \boxed{ - 48}} \\ \\ \boxed{\begin{bmatrix}  0& - 1 \\ 17 & 4\end{bmatrix} = 0 -( - 17 )= \boxed{17}} \\ \\\boxed{ \begin{bmatrix}  8& - 1 \\ - 4 & - 1\end{bmatrix} = - 8 - 4 = \boxed{ - 12} }\\ \\ \boxed{\begin{bmatrix}  2 & - 1 \\ 2 & - 1\end{bmatrix} = - 2 - ( - 2) = \boxed{0}} \\ \\ \boxed{ \begin{bmatrix}  1 & 0\\ 0 &1\end{bmatrix} = 1 - 0 = \boxed{1}}\)

Step-by-step explanation:

\(the \: determinant \: of \: a \: matrix : A \to\\If \: A =\begin{bmatrix}  x & y \\ a & b \end{bmatrix} \: then : \\ its \: determinant \: is \: givn \: by \to \\ |A| = (b \times x) - (a \times y) \\ \boxed{|A| = bx - ax}\)

♨Rage♨

Answer:

Kanye run faster.

Step-by-step explanation:

Given that,

Time = 1 min = 60 sec

Suppose, we find the speed of kanye and Jay.

According to number line,

Kanye covers the -160m distance and Jay covers the 140 m distance.

Negative sign shows the opposite direction.

We need to calculate the speed of Kanye

Using formula of speed

\(v=\dfrac{d}{t}\)

Where, v = speed

d = distance

t = time

Put the value into the formula

\(v=\dfrac{160}{60}\)

\(v=2.66\ m/s\)

We need to calculate the speed of Kanye

Using formula of speed

\(v=\dfrac{d}{t}\)

Put the value into the formula

\(v=\dfrac{140}{60}\)

\(v=2.33\ m/s\)

The speed of kanye is more than jay.

Hence, Kanye run faster.

The problem is to evaluate the integral of -7x³/13 which can be solved using integration technique.

The first step is to find the integration of -7x³/13. It is important to note that -7x³/13 can be written as -7/13 * x³.

Hence, integrating -7/13 * x³dx will give (-7/13) * (x^4/4) + C. Hence, ∫ (-7x³/13) dx = -7/52 * x^4 + C.

The next step is to add 1 to the obtained result in step 1. Therefore, the final answer will be -7/52 * x^4 + C + 1.

Hence, the integral of -7x³/13 is -7/2(x^2+1-In/x^2+11)+C where c is constant of integration

The integral of -7x³/13 is -7/2(x^2+1-In/x^2+11)+C. The answer can be obtained using integration technique which involves the finding of integration of -7x³/13. Therefore, it is important to note that -7x³/13 can be written as -7/13 * x³.

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Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Minimum = 8

Q1 = 10

Median = 11

Q3 = 13

Maximum = 17

Step-by-step explanation:

Minimum: the lowest value in a data set

Quartile 1: the median of the lower half of the set

Median: the middle number in the data set

Quartile 3: the median of the upper half of the set

Maximum: greatest value in the data set

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

arrange them in order and then find for median, then upper range value and lower range value, then find lowest and maximum.

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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The event the student could run a mile in less than 8.27 minutes in terms of the value of the random variable y. The Probability of Y< 6 of 6.68%.

Random Variable:

A random variable is a variable whose value is unknown or a function that assigns a value to each outcome of an experiment. Random variables are often denoted by letters and can be classified as either discrete (variables that have a specific value) or continuous (variables that can take any value in a continuous range).

In probability theory and statistics, random variables can have many values ​​because they are used to quantify the outcome of random events. Random variables must be measurable and are usually real numbers. For example, the letter X can represent the sum of the numbers after rolling three dice. In this case, X can be 3(1 + 1 + 1), 18(6 + 6 + 6), or between 3 and 18. This is because the highest number on the dice is 6 and the lowest number is 1.

Given information.  

We have mean 7.11 minutes and standard deviation 0.74 minute.

We have to find the value of z.

Now,

    z = (x - μ/ σ)z

      = (6 - 7.11/ 0.74) z

      ≈ -1.50

Now,

The probability of Y < 6

P(Y< 6) = P(Z < -1.50)

            = 0.0668

            = 6.68%

Complete Question:

Running a mile A study of 12000 able-bodied male students at the University of Illinois found that their times for the mile run were approximately Normal with mean 7.11 minutes and standard deviation 0.74 minute. 7 Choose a student at random from this group and call his time for the mile Y. Find P(Y < 6) . Interpret this value.

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1) (a) The transformations that occur from the parent function are horizontal translation of 2 units to the left and vertical translation of 4 units to the down.

(b) (-2, -4)

(c) Graph is given below.

1) Given a function,

g(x) = (x + 2)² - 4

(a) Given a parent function p(x) = x².

We can write g(x) as,

g(x) = p(x + 2) - 4

So the transformation is horizontal translation of 2 units to the left and vertical translation of 4 units to the down.

(b) Vertex formula of a parabola is,

y = a (x - h)² + k, where (h, k) is the vertex.

Comparing the given function with vertex form,

Vertex of the parabola = (-2, -4)

(c) Graph of g(x) will be a parabola with vertex at (-2, -4).

It is given below.

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Waddup

Answer:

Your answer is 2.5/5

Step-by-step explanation:

Given Function:

2 3/15

3/15=1/5

1/5=nearest half=2.5/5

Therefore, 2 3/15 rounded to the nearest half is 2.5/5.

adiós

Answer:

6

Step-by-step explanation:

replace the variable with the information provided which will give you

x=4+6-4

solve

answer:6

The value of x is 6 which makes the equation x = 4 + s - t true.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that is equal.

Given equation as :

x = 4 + s - t

And s = 6 and t = 4

To determine the value of x

Substitute the values of s = 6 and t = 4 in the equation,

⇒ x = 4 + 6 - 4

⇒ x = 10 - 4

⇒ x = 6

Hence, the value of x is 6 which makes the equation x = 4 + s - t true.

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Answer:

Step-by-step explanation:

An electrician needs 2 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 2/3 of a roll of wire? HEL

An electrician needs 2 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 2/3 of a roll of wire? HEL

An electrician needs 2 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 2/3 of a roll of wire? HEL

An electrician needs 2 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 2/3 of a roll of wire? HEL

Step-by-step explanation:

x / 3 = 35

x = 35 × 3

x = 105

y / 7 = 37

y = 37 × 7

y = 259

(105 + 259) / (7+3)

= 36.4 pound

Answer:

5x(5x -4)

25x^2- 20x

Step-by-step explanation:

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Best Market sells strawberries at a cheaper unit price.

The definition of a unit of measurement is a particular magnitude of a quantity that has been established and accepted by law or convention and is used as a standard for measuring other quantities of the same kind. Any other quantity of that type can be expressed as a multiple of the unit of measurement.

For instance, a length is a physical quantity. The metre is a unit of length that corresponds to a particular, predetermined length (symbol m). For instance, "10 metres" (or 10 m) is 10 times the fixed, predetermined length known as "metre."

In best Market, the price y for x pounds of strawberries is given by

y = 2.90x

Lets find the slope of Fine Foods strawberries

y - y₁ = m(x - x₁)

From the graph take two points, lets say (3, 6) and  (5, 10)

Put the points in the formula

10 - 6 = m(5 - 3)

4 = 2m

m = 4/2 = 2

The slope is 2

Now, lets convert it to slope intercept form

y - 10 = 2(x - 5)

y = 2x - 10 + 10

y = 2x - 10 + 10

y = 2x

For a certain same price Fine Foods provides 2x pounds of strawberries while Best Market provides 2.90x pounds of strawberries.

Thus, Best Market sells strawberries at a cheaper unit price.

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The equation of the perpendicular bisector of the line AB when A(1 ,0) and B is (-3 ,-4) is; y = -x-3

It follows from the task.comtent that the two lines share the midpoint of.tge line AB.

On this note, it follows that the point shared by the two lines is; (-1, -2)

The slope of the line AB is; 1 from evaluation.

On this note, the equation of the perpendicular bisector with slope -1 is;

-1 = (y - (-2))/(x -(-1))

-1 = y +2/x+1

y = -x-3

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Answer:

(-2,-2)

Step-by-step explanation:

The discrete probability distribution is discussed above.

Given is discrete probability distribution.

        \(${\displaystyle P(X\in E)=\sum _{\omega \in A}p(\omega )\delta _{\omega }(E)} =\)        

       \(${\displaystyle P(X\in E)=\int _{E}f(x)\,dx=\sum _{\omega \in A}p(\omega )\int _{E}\delta (x-\omega )=\sum _{\omega \in A\cap E}p(\omega )}\)

Therefore, the discrete probability distribution is discussed above.

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Answer:

300 times bigger.

Step-by-step explanation:

That would be (1.8 * 10^27 ) / (6 * 10^24)

= 0.3 * (10^27/10^24)

= 0.3 * 10^3

= 3 * 10^2

= 300.

Answer:

YZ , XZ , XY

Step-by-step explanation:

first lets find angle Z

angle x + angle y + angle z=180 degree (being sum of interior angles of a triangle)

27 + 48 + angle z=180

75 + angle z=180

angle z =180-75

angle z =105 degree

side YZ is the shortest one because the side opposite to the smallest angles is shortest in side.Then ,XZ is shortest in side because the side opposite to the smallest angle is shortest in side.Since angle z is largest angle so the side opposite to angle z will be the longest side i.e XY

first YZ then XZ and XY.

Solution:

Gary spends 7 hours per week on the internet and 13 hours per week playing video games

Therefore,

Internet = 7 hours per week

Playing video games = 13 hours per week

7 + 13 = 20

Gary has 5 hours of free time per day

1 Day = 5 hours

Thus, for 1 week ( 7 days ) = 7 x 5 = 35 hours of free time

%57 is spent on the internet and playing video games.

The profit function f is modeled by a graph and the function g(x) = (x + 1)(5x) is modeled by an equation. We can compare the two functions based on their y-intercepts and end behavior.

Y-intercepts: The y-intercept of a function represents the profit earned when there are zero units sold. The y-intercept of f can be found by finding the value of the function when x = 0. Similarly, the y-intercept of g(x) can be found by substituting x = 0 in the equation g(x) = (x + 1)(5x) to find g(0).

End behavior: The end behavior of a function refers to the behavior of the function as x approaches positive infinity or negative infinity. This can be determined by finding the degree and leading coefficient of the polynomial function.

By comparing the y-intercepts and end behavior of the two functions, we can make an interpretation of the profit earned by the two market sellers and how it changes as the number of units sold increases or decreases.

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