Jason used Square centimeters to find the area of his lot and it measured 60,950 cm². To make it easier, Jason decided to convert Square centimeters to square meters, How many square meters was the area of his lot?

pls answer this with solution​

Answer:

2 31/33

Step-by-step explanation:

this is a IMPROPER FRACTION once the absolute value of the top number or numerator [97] is greater than absolute value of numerator is greater than denominator[33] so the equivalent fraction is a MIXED NUMBER which is made up of a whole number [2] ans proper fraction [31/33]

Answer:

Step-by-step explanation:

On a given day , a particular raccoon will eat the trash from one of three different houses.

Let assume \(Y_n\) be a random variable that illustrating  the house raccoon will eat on an unknown given nth day.

If he eats from the trash of a particular house, he has a 50% chance to eat from the same house the next day, and a 25% chance each to eat from one of the other two houses.

There are three states given in the above statement.

So, we can have state 1, state 2 and state 3

Assuming that:

state 1 = house 1

state 2 = house 2

state 3 = house 2

If he eats from the trash of a particular house,

For state 1 : he has a 50% chance to eat from the same house the next day

i.e state 1 = 0.50

and a 25% chance each to eat from one of the other two houses.

For state 2 and state 3: = 0.25

i.e state 2 = 0.25

state 3 = 0.25

NOW:

\(\mathtt{P[Y_{n+1 }= 0 \ | \ Y_n = 0] = 0.5}\)

\(\mathtt{P[Y_{n+1 }= 1 \ | \ Y_n = 0] = 0.25}\)

\(\mathtt{P[Y_{n+2}= 2 \ | \ Y_n = 0] = 0.25}\)

\(\mathtt{P[Y_{n+1 }= 0 \ | \ Y_n = 1] = 0.25}\)

\(\mathtt{P[Y_{n+1 }= 1 \ | \ Y_n = 1] = 0.5}\)

\(\mathtt{P[Y_{n+1 }= 2 \ | \ Y_n = 1] = 0.25}\)

\(\mathtt{P[Y_{n+1 }= 0 \ | \ Y_n = 2] = 0.25}\)

\(\mathtt{P[Y_{n+1 }= 1 \ | \ Y_n = 2] = 0.25}\)

\(\mathtt{P[Y_{n+1 }= 2 \ | \ Y_n = 2] = 0.5}\)

The stochastic matrix for this scenario can be computed as:

                  0          1       2

\(P = \left\begin{array}{c}0\\1\\2\end{array}\right \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\)

\(\mathbf{ P =\left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right] }\)

Answer: This is the answer. please give me the brainliest. Thanks

The value of the expression is \(\frac{1}{216}\)

An expressions are mathematical statement which have more than two terms that contains variables and constants along with mathematical symbols.

Given the expression, \(p^{-3}\) for p=6

⇒\(p^{-3} =\frac{1}{p^{-3} }\)

⇒if p=3, then \(\frac{1}{p^{-3} } = \frac{1}{216}\)

Hence, the value of expression is \(\frac{1}{216}\).

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Answer:

The percentage is 17% and the rotio is 7.5

Step-by-step explanation:

(a) 28000-20000=8000.

(8000/28000+20000)*100%

=16.66%=17%

(b) (28000/48000)

= 7/12.

(20000/48000)

=5/12.

so you take the numerators which are 7 and 5.so the ratio is7.5

Answer: A) \(y=13e^{-0.1359t}\)

              B) H = 5.10

              C) Yes

Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: \(y(t)=Ce^{rt}\)

A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:

\(y(t)=Ce^{rt}\)

\(2.22=13e^{13r}\)

\(e^{13r}=0.1708\)

Using a natural logarithm property called power rule:

\(13r=ln(0.1708)\)

\(r=\frac{ln(0.1708)}{13}\)

\(r=-0.1359\)

The decay function for concentration of DDT through the years is \(y(t)=13e^{-0.1359t}\)

B) The value of H is calculated by \(y=C(0.5)^{\frac{t}{H} }\)

\(2.22=13(0.5)^{\frac{13}{H} }\)

\((0.5)^{\frac{13}{H} }=0.1708\)

Again, using power rule for logarithm:

\(\frac{13}{H} log(0.5)=log(0.1708)\)

\(\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}\)

\(\frac{13}{H} =2.55\)

H = 5.10

Constant H in the half-life formula is H=5.10

C) Using model \(y(t)=13e^{-0.1359t}\) to determine concentration of DDT in 1995:

\(y(24)=13e^{-0.1359.24}\)

y(24) = 0.5

By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.

Answer:

right now if you were to have a coke depending on the weather is from where you are standing effect how long it will take to melt

Step-by-step explanation:

Answer:

5ab

Step-by-step explanation:

8-3=5 just like 8ab-3ab=5ab

Answer:

\(V=6x^3+3x^2\)

Step-by-step explanation:

The given figure shows a cuboid whose length is (2x+1) breadth is x and height is 3x.

We need to find the volume of the three dimensional figure.

The volume of a cuboid is given by :

V = lbh

Substitute all the values,

\(V=(2x+1)\times x\times 3x\\\\V=(2x+1)\times 3x^2\\\\= 3x^2(2x)+3x^2\\\\V=6x^3+3x^2\)

So, the volume of the figure is equal to \(6x^3+3x^2\).

Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

Answer:

Dan gets £15.7142857

Step-by-step explanation:

Colin => 5

Dan => 2

5 + 2 (total of the two) = 7

55 divided by 7 = 7.85714286

7.85714286 times 2 = 15.7142857

So Dan gets £15.7142857

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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If you travel for three hours at a speed of 30 km/hr, you will go a distance of 90 km.

Speed is the rate of change of an object position relative to a given frame of reference. It is a scalar quantity meaning it has both magnitude and direction. Speed is usually measured in meters per second.

The distance travelled can be calculated by multiplying the speed of 30 km/hr by the number of hours travelled, which is 3. Therefore, the distance travelled is 90 km. To summarize, if you travel for three hours at a speed of 30 km/hr, you will go a distance of 90 km.

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Answer:

534.54

Step-by-step explanation:

750.92 - 216.38 = 534.54 hope this helps   :)

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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The measure of the missing side length x in the right triangle is 1.5.

The figure in the image is a right triangle having one of its interor angle at 90 degree.

From the diagram;

Let angle θ = 30 degree

Opposite angle θ = x

Hypotenuse = 3

To solve for the missing side length x, we use the trigonometric ratio.

Note that: sine = opposite / hypotenuse

Hence:

sin( θ ) = opposite / hypotenuse

Plug in the values:

sin( 30 ) = x / 3

x = sin( 30 ) × 3

x = 1.5

Therefore, the value of x is 1.5.

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The value of the residual at x = 1 is given as follows:

-2.

In statistics, a residual is the difference between the observed value of a variable and the predicted value of that variable.

From the scatter plot in this problem, and the line of fit, the values at x = 1 are given as follows:

Hence the value of the residual at x = 1 is given as follows:

2 - 4 = -2.

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Answer: 2 hours

Step-by-step explanation:

if you split it by 2 people each it would take two hours and 6 divided by 3 = 2

The area of the rhombus is 100 mm². The Option D.

To get area of a rhombus, we will use the formula: Area = (d₁ * d₂) / 2 where d₁ and d₂ are the lengths of the diagonals.

Given that the horizontal diagonal length is 25 millimeters (d₁ = 25 mm) and the vertical diagonal length is 8 millimeters (d₂ = 8 mm.

We will substitute values into the formula:

Area = (25 mm * 8 mm) / 2

Area = 200 mm² / 2

Area = 100 mm².

Full question:

A rhombus with horizontal diagonal length 25 millimeters and vertical diagonal length 8 millimeters. what is the area of the rhombus? 25 mm2 33 mm2 50 mm2 100 mm2

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EXPLANATION:

To find the value of the variable x we ​​must do the following:

Since the internal angles of a triangle must add up to 180 so we add the two internal angles given and then we must subtract 180.

Now we must find the value of y, then we must do the following:

Answer:

1/5 or .20 or 20% (same answer in different formats!)

Step-by-step explanation:

Subtract 1/2 from 7/10

make the denominators the same, so 7/10 - 5/10. You get 2/10 or 1/5.

A Budget is best defined as a financial plan that estimates how much money you will need to spend to cover your expenses. That is option D.

Budget can be defined as the financial document that is used to show the estimation of intending expenses, and how much would be required to meet such expenditures.

The importance of budget include the following:

Therefore budget is used by companies and business organizations to estimate how much money they will need to spend to cover their expenses.

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The value of a is given as follows:

a = 2.

The rate of change is given as follows:

2.4 inches per hour.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The line passes through the points (–1, –5) and (4, 5), hence the slope m is obtained as follows:

m = (5 - (-5))/(4 - (-1))

m = 2.

Hence:

y = 2x + b.

When x = -1, y = -5, hence the intercept b is obtained as follows:

-5 = -2 + b

b = -3.

Hence:

y = 2x - 3.

Then the value of a is obtained as the value of x when y = 1, hence:

2x - 3 = 1

2x = 4

x = 2.

The rate of change in the snowfall is given as follows:

m = (8.1 - 2.3)/2

m = 2.4 inches per hour.

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Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time

The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/ ( x + 2 ) ( x - 5 )

The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.

Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )

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The complete question is attached below :

Which of the following rational functions is graphed below?

A. F(x) =(x-2)/(x+5)

B. F(x) =1/(x-2)(x + 5)

C. F(x) =1/(2x + 5)

D. F(x)= 1/(x+2)(x-5)

The base of the parallelogram is 60.

How to find?

To find the base of a parallelogram, we need to know its area and height. The area of a parallelogram is given by the formula:

A = b × h

where A is the area, b is the base, and h is the height.

In this case, we are given that the area of the parallelogram is 60 square millimeters. We do not know the height of the parallelogram, so we cannot solve for the base directly.

However, we do know that the area of a parallelogram is equal to the product of its base and height. So, if we can find the height of the parallelogram, we can then use the formula to solve for the base.

To find the height, we can use the formula:

h = A / b

where A is the area and b is the base.

Substituting the given values, we get:

h = 60 / b

Now, we still do not know the value of the base, but we can use this expression for the height to set up an equation that relates the base and height of the parallelogram.

We know that the opposite sides of a parallelogram are parallel and have the same length, so the height of the parallelogram is perpendicular to the base. Therefore, we can draw a perpendicular line from the height to the base, dividing the parallelogram into two congruent triangles.

Each triangle has an area of A/2, and its base and height are b and h, respectively. Therefore, we can set up the following equation:

A/2 = bh/2

Substituting the expression for the height, we get:

A/2 = b(60/b)/2

Simplifying, we get:

A/2 = 30

Multiplying both sides by 2, we get:

A = 60 = bh

Now we have an equation that relates the base and area of the parallelogram. Substituting the given value for the area, we get:

60 = b × h

Substituting the expression for the height, we get:

60 = b × (60 / b)

Simplifying, we get:

60 = 60

This equation is always true, which means that any value of b that satisfies the condition for a parallelogram (i.e., opposite sides are parallel and have the same length) will work. Therefore, we cannot determine the value of the base without additional information.

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At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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