melania is tracking her running training program. the table gives her 5k run time at the end of each month. month time (in minutes) 1 47 2 43 3 39 4 36 5 35 6 33 what is the equation for the line of best fit, where x represents the month and y-hat represents the predicted time? y hat equals 33.6 plus 2.77 times x y hat equals 48.5 plus 2.77 times x y hat equals 33.6 minus 2.77 times x

The area of the circle with radius 'r' is πr² units² because the formula for the area of a circle = πr²

The circle is defined as a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point which is the centre.

The angle at the center of a circle sums up to 360°.

To calculate the area of a circle, the formula that should be used is given as follows;

Area of a circle = πr²

radius of the circle = r units

area = π×r ×r

= πr² units ²

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Answer:

(see screenshot below)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We have a graph that models the value of a $20,000 car t years after it was purchased.

The value of the car is denoted with the y-axis in dollars and the time is denoted with the x-axis in years.

The question is: Which statement best describes why the value of the car is a function of the number of years since it was purchased.

The key element in this question is that we want to determine why the graph is a function.

Thus, we can eliminate C and D. A graph's rate of change and whether or not the graph touches 0 does not matter in determining whether or not a graph is a function.

So, we are left with two choices:

A) Each car value, y, is associated with exactly one time t.

B) Each time, t, is associated with exactly one car value, y.

Remember that for a relation/graph to a function, each input must match to exactly one output.

An input cannot repeat. Outputs can.

Therefore, we should be concerned with matching the input to exactly one output.

In this case, our input is the time t for the amount of years that passed.

And our output is the cost of the car.

Therefore, the correct answer is B.

Answer:

B

Step-by-step explanation:

number 8 (i think) is d, 1 in 1,500, and number 9 is c, 1,513 cars :)

True. System developers can initiate a formal project as early as the preliminary investigation stage, or later on, as analysis, design, and implementation activities occur.

When considering the initiation of a formal project, system developers need to assess the risks, costs, benefits, and constraints associated with the project. During the preliminary investigation stage, they conduct a feasibility study to determine whether the project is technically feasible, economically viable, and socially and legally acceptable. If the feasibility study shows that the project is feasible, the developers can initiate the project by defining its scope, objectives, deliverables, and requirements.

Once the project is initiated, the developers can proceed with the analysis, design, and implementation activities. The analysis phase involves gathering and documenting the requirements, analyzing the existing system, and identifying the functional and non-functional requirements of the new system.

True. System developers can initiate a formal project as early as the preliminary investigation stage, or later on, as analysis, design, and implementation activities occur. The decision on when to initiate a formal project depends on several factors, such as the complexity of the system, the available resources, and the level of certainty about the feasibility of the project.

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Answer:

First get a common denominator then you divide the numerator then you get your answer

Step-by-step explanation:

The car move down on its spring suspension by the length of  0.0001501 m.

Acceleration due to gravity g = 9.81 m/s²

Spring constant k = 2.8×10⁷N/m.

Compression of spring x.

Force (F) = mg

Mass of the car is ;

m = 80 x 30

m = 2400 kg

Mass supported by the each spring,

m = 2400/8 = 300 kg

Put the value in force of spring;

F = kx

x = F/k = mg/k

x = (300 x 9.81)/ 2.8×10⁷

x =  0.0001501 m

Thus, the car move down on its spring suspension by the length of  0.0001501 m.

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The complete question is-

A passenger railroad car has a total of 8 wheels. Springs on each wheel compress--slightly--when the car is loaded. Ratings for the car give stiffness per wheel (the spring constant, treating the entire spring assembly as a single spring) as 2.8×10⁷N/m.

When 30 passengers, each with average mass of 80 kg, board the car, how much does the car move down on its spring suspension? Assume that each wheel supports 1/8 the weight of the car.

There are 210 different ways for the club to fill the positions of president, vice-president, and secretary if the club consists of 7 members.

To calculate the different ways for the club to fill the positions of president, vice-president, and secretary if the club consists of 7 members, we need to use the permutation formula.

The permutation formula helps in counting the number of ways an event can occur.

Here, we need to select 3 members out of 7 members and arrange them for the 3 positions of the club.

Hence, we can use the permutation formula as:

P(7,3) = 7! / (7 - 3)! = 7! / 4! = 7 x 6 x 5 = 210

Therefore, there are 210 different ways for the club to fill the positions of president, vice-president, and secretary if the club consists of 7 members.Hope this helps!

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No, there is no commutative property of subtraction for rational numbers. The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers.

The commutative property states that the order of the operands does not affect the result of an operation. For addition and multiplication, the commutative property holds true. However, for subtraction, the order of the operands does matter, and thus, the commutative property does not apply.

Let's consider an example to demonstrate this:

Take the rational numbers 3/4 and 1/2.

If we subtract 3/4 from 1/2, we have: 1/2 - 3/4 = (2/4) - (3/4)

= -1/4.

If we subtract 1/2 from 3/4, we have: 3/4 - 1/2 = (3/4) - (2/4)

= 1/4.

As you can see, the results are different when the order of subtraction is changed, indicating that subtraction does not follow the commutative property for rational numbers.

The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers. Changing the order of subtraction changes the result, making subtraction non-commutative for rational numbers.

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The commutative property does not apply to the operation of subtraction with rational numbers. This is because changing the order of the numbers in a subtraction operation will give a different result.

In mathematics, the commutative property refers to the idea that the order in which numbers are used in an operation does not change the result of that operation. This property holds true for addition and multiplication but, unfortunately, it does not hold true for subtraction and division. For example, in subtraction, if we take two rational numbers such as 5 and 3, 5 - 3 is equal to 2, but 3 - 5 equals to -2. As you can see, changing the order of the numbers gives us different results, demonstrating that there is no commutative property of subtraction for rational numbers.

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Answer:

f(-2)=g(-2)

Step-by-step explanation:

Answer:

Your answer

70% discount on total price

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Answer:

A. 13 cm po siguro

Step-by-step explanation:

sorry nalang po kong mali sagot ko

Answer:

Below...

Step-by-step explanation:

Scientific Notation:

2.004 × 10-5

Scientific Notation:

1.203 × 10-2

The linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

The given equation is x² + 2x* + 2x² - 12x + 10 = 0.

It needs to be linearized around its equilibrium position.

Linearizing the given equation around its equilibrium position x0, we have;

f(x) = f(x0) + f'(x0)(x - x0)

Where f(x) = x² + 2x* + 2x² - 12x + 10

The equilibrium position is the point where f(x) = 0.

Hence, f(x0) = 0.

Thus, x² + 2x* + 2x² - 12x + 10 = 0⇒ 3x² - 6x = -10⇒ x² - 2x + (2.33) = 0(x-1)² = 0.77x - 0.77 or

x = 1 + (0.77)/(2) or x = 1.39

Hence, the equilibrium position x0 = 1.39.

Substitute x0 = 1.39 in the equation and simplify to get f'(x0):

f(x) = x² + 2x* + 2x² - 12x + 10

f(x) = 3.84 - 8.34 + 10

f'(x0) = f'(1.39) = -4.8

Therefore, the linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

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Answer: divided by 3

Step-by-step explanation: x is rise y is run

Answer:

The answer is 1/3

Step-by-step explanation:

y2 - y1 0 - (-1)

_______ = ______ = 1/3

x2 - x1 0 - (-3)

Answer:

step by step solution:

(r/p)(9) = (9+1)²/(9-4) = 100/5 = 20

(q.s)(3) = (-2(3)+7).(3(3)² - 5(3)) = 1×12 = 12

(q/r)(-1) = (-2(-1) + 7)/(-1+1)² = 9/0 = Undefined

(t + s)(4) = -(4)² + 4(4) + 9 + 3(4)² -5(4) = -16 + 16 +9 + 48 - 20= 37

(s o p)(8) = s(p(8)) = s(8-4) = s(4) = 3(4)² -5(4) = 48 - 20 = 28

(q o t)(7) = q(t(7)) = q(-(7)² + 4(7) + 9) = q(-12) = -2(-12) + 7= 24+7 = 31

(r o u)(1) = r(u(1)) = r(1+6) = r(7) = (7+1)² = 64

(t o s)(0) = t(s(0)) = t(0) = 9

(u-p)(-3) = (-3)³ + 6(-3) - (-3) + 4 = -27 -18 + 3 + 4 = -38

(u o r)(-2) = u(r(-2)) = u((-2+1)²) = u(1) = 1 + 6 = 7

(q o q)(6) = q(q(6)) =q (-2(6) + 7) = q(-5) = -2(-5) + 7 = 17

END

The largest lampshade Hillary can wrap laces around has an estimated diameter of \(14.32\) inches.

The better measure across the edge of the circle is its diameter. The radius of a circle is the farthest from to any place on the edge. The diameter and radius are inversely proportional, or 2r=d2 r=d.

For instance, if a circle has a circumference of 25 cm, its diameter is 25 cm/, or 7.96 cm. For instance, calculate the square root of 12cm2 if that is the circle's area. Hence, the circle's diameter becomes 1.95 x 2 Equals 3.90 cm.

\(C = 2pir\)

where \(C\) is the circumference, π (pi) is a mathematical constant approximately equal to \(3.14\), and r is the radius of the circle.

We can do this by rearranging the formula for the circumference:

\(C = 2pir\)

\(r = C / (2pi)\)

We are given that Hilary has \(45\) inches of lace, which is the circumference of the circle.

\(r = 45 / (2pi) =7.16 inches\)

Finally, we can find the diameter of the circle by doubling the radius:

\(d = 2r = 14.32 inches\)

Therefore, the approximate diameter of the largest lampshade Hilary can put lace around is \(14.32\) inches.

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Answer:

I don't understand the instructions, but I'll answer the question in the picture.

The angle next to 52 is vertical to y, so,  90-52=y.

Thus, y=38

Answer:

0.04

Step-by-step explanation:

The rate of flow is 0.043 gallons per minute.

Divide by 0.264 to obtain litres from gallons and multiply by 0.264 to obtain in gallons from litres.

According to the given question

Water flows through a pipe at a rate of 7 cubic meters per month.

We know 1 cubic meter is = 1000 litre

∴ 7 cubic meters per is

= (7 × 1000) litre

= 7000 litre

= (7000 × 0.264) gallons

= 1848 gallons per month

Now 1 month is

= ( 1 × 30 × 24 × 60 ) minutes.

=43200 minutes

So in 43200 minutes 1848 gallons of water flows through that pipe

∴ In a unit minute or per minute it the rate of flow will be

= 1848/43200 gallons per minute

= 0.043 gallons per minute.

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Interior angle-

All interior angles of a regular polygon are equal. The formula for calculating the magnitude of the interior angle is:

Interior angle of polygon = sum of interior angles ÷ number of sides. The sum of the exterior angles of a polygon is 360°.

Exterior angle-

An exterior angle is an angle that is parallel to, but outside, the interior angle of a polygon. The exterior angle measurement is equal to the sum of the two opposite interior angles.

according to the question,

given data

interior angle=8 exterior angle

we know that,

interior angle+ exterior angle=180

let us consider ,

exterior angle=x

so we can say that,

8 exterior angle + exterior angle =180

8x+x=180

9x=180

x=20

we know that ,

the number of sides=360/x

=360/20

=36/2

=18

the number of sides of the polygon is 18

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Answer:

$2

Step-by-step explanation:

One pound is 0.0625lbs.

So you would just multiply that by 32.

Then you get 2

Answer:

$3.00

Step-by-step explanation:

1 pound = 16 ounces

32 ÷16= 2 pound

$1.50 ×2= $3.00

Answer: A=6.5 B=12

Step-by-step explanation: if they are proportional than the base would go up by 3.5 and the height will go up by 3

Answer:

A is 9 and B 12

Step-by-step explanation:

Horizontal lines goes by 1.

Vertically goes by 3.

By using the concept of probability, it can be determined that there are approximately 400 red marbles in the bag.

To determine the number of red marbles in the bag without counting them, we can utilize the concept of probability. The probability of drawing a red marble from the bag can be calculated by dividing the number of red marbles by the total number of marbles in the bag. In this case, there are 400 red marbles and 1100 total marbles, resulting in a probability of 400/1100.

Since the probability is a ratio, we can use it to estimate the number of red marbles in the bag. Multiplying the probability by the total number of marbles in the bag gives us an estimate of the number of red marbles. Therefore, by multiplying (400/1100) by 1100, we find that there are approximately 400 red marbles in the bag.

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Answer:

-1.166666667

Step-by-step explanation:

Since there are five lines in between -2 and -1 you need to divide 1 by 6 and when you do that you get .166666667. Since the point is on the first line you add that to one to get 1.166666667 and since it is on the negative side of the number line the number has to be negative.

Using the given information, the values of the trigonometrical ratios are:

sin(θ) = 12/13

cos(θ) = 5/13

sec(θ) = 13/5

From the question, we are to determine the value of the given trigonometrical ratios

From the given information, we have that

tan(θ) = 12/5

From SOH CAH TOA,

We know that

sin(θ) = Opposite / Hypotenuse

cos(θ) = Adjacent / Hypotenuse

tan(θ) = Opposite / Adjacent

Thus,

We can create a right triangle such that the opposite side is 12 and the adjacent is 5

Using the Pythagorean's theorem, we can find the hypotenuse

|Hyp|² = |Opp|² + |Adj|²

|Hyp|² = 12² + 5²

|Hyp|² = 144 + 25

|Hyp|² = 169

|Hyp| = √169

|Hyp| = 13

Now,

Also from SOH CAH TOA

We can write that

sin(θ) = 12/13

cos(θ) = 5/13

But sec(θ) = 1/cos(θ)

Thus,

sec(θ) = 13/5

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The equation of the new graph is f(x) = 9^(x - 2)

From the question, we have the following parameters that can be used in our computation:

f(x) = 9^x

Also, we have

shifted 2 units to the right,

This is represented as

(x, y) = (x - 2, y)

Substitute the known values in the above equation, so, we have the following representation

f(x) = 9^(x - 2)

Hence, the function is f(x) = 9^(x - 2)

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Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.

In a two-way analysis of variance (ANOVA) known as a 2x2

factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.

The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.

There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.

This F ratio assesses the joint influence of both independent variables.

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Answer:

mention any one contribution of maiti nepal

The square of given expression √1 ( square root of 1 ) is equal to 1.

As given in the question,

Given expression is equal to √1 ( square root of 1 )

To calculate the square of √1 we have,

Let us consider variable x is equal to √1

x = √1

Now take square on both the sides of the given expression we get,

x² =  (√1 )²

⇒ x² = √1  × √1

Multiplying square root of 1 to square root of 1 is equal to 1 we get,

or use law of exponent :

√1 × √1 = \(1^{\frac{1}{2} + \frac{1}{2} }\)

            = 1

⇒ x² = 1

Therefore, the square of the given expression √1 ( square root of 1 )is equal to 1.

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