After converting 2/9 into a decimal, it would be ____________.

A.Terminating
B.Repeating
C.Mixed number
D.Not enough information

Answer:

A. is ur answer

Step-by-step explanation:

the rate of change for Jack is 7 points increased for each additional hour studied and the rate of change for Howie is 6 points increased per hour so 7-6 is equal to 1.

hope this helps <3

Answer:

Step-by-step explanation:

A triangular pyramid has 6 edges, 4 vertices, and 1 base

The probability of drawing two red marbles from a jar with 6 red marbles and 40 blue marbles is 1/207.

To calculate the probability of drawing two red marbles, we first need to determine the total number of marbles in the jar. In this case, there are 6 + 40 = 46 marbles in total. We can then calculate the probability of drawing a red marble on the first draw. Since there are 6 red marbles out of a total of 46, the probability of drawing a red marble on the first draw is:

P(Red on first draw) = 6/46

After the first draw, we have one less marble in the jar, and the total number of marbles is now 45. The number of red marbles is also reduced by one, and there are now 5 red marbles in the jar. Therefore, the probability of drawing a red marble on the second draw, assuming the first marble was red, is:

P(Red on second draw given the first marble was red) = 5/45

To find the probability of both events happening (drawing two red marbles), we need to multiply the probabilities of each event:

P(Drawing two red marbles) = P(Red on first draw) x P(Red on second draw given the first marble was red)

P(Drawing two red marbles) = (6/46) x (5/45)

Simplifying this expression gives:

P(Drawing two red marbles) = 1/207

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Answer:

5 packages of biscuits and 9 packages of bread.  

Step-by-step explanation:

18x5 = 90, and 9 x 10 = 90. If we use the least common denominator, then it would look like this:

18, 36, 54, 72, 90, 108, 126, 144, 162, 180

10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

Out of the two multiplication lines, the one common part about it would be 90, which is 5 away from the start for 18, and 9 away from the start for 10.

hope it helped

Answer:

5 packs of biscuits

9 packs of bread

Step-by-step explanation:

To find out how many of each one, you have to find their least common multiple:

18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180

10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

18*5 = 90

5 packs of biscuits

10*9 = 90

9 packs of bread

Using the sum of angles in a triangle to determine the value of x in the cyclic quadrilateral, the value of x is 74°

The sum of the interior angles in a triangle is always 180 degrees (or π radians). This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.

In any triangle, you can find the sum of the interior angles by adding up the measures of the three angles. Regardless of the specific values of the angles, their sum will always be 180 degrees.

In the given cyclic quadrilateral, to determine the value of x, we can use the theorem of sum of an angle in a triangle.

Since x is at opposite to the right-angle and angle p is given as 16 degrees;

x + 16 + 90 = 180

reason: sum of angles in a triangle = 180

x + 106 = 180

x = 180 - 106

x = 74°

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The RPE rank corresponding to a resting heart rate of 70 BPM is 10.

RPE rank corresponding to a resting heart rate of 70 BPM:

To determine the corresponding RPE rank for a resting heart rate of 70 BPM (beats per minute), we can use the RPE (Rate of Perceived Exertion) scale and its associated heart rate ranges.

The RPE scale is commonly used to subjectively measure exercise intensity. It ranges from 6 to 20, with higher values indicating greater perceived exertion. Each RPE rank corresponds to a specific heart rate range.

To find the corresponding RPE rank for a resting heart rate of 70 BPM, we need to match it with the appropriate heart rate range on the RPE scale.

A common formula to estimate maximum heart rate is 220 minus age. However, since we are dealing with a resting heart rate, we can assume that the person's age is not a factor in this scenario.

Looking at the RPE scale, an RPE rank of 9-11 corresponds to a heart rate range of approximately 70-85 BPM. Since the person's resting heart rate is 70 BPM, it falls within this range.

Therefore, the RPE rank that corresponds to a resting heart rate of 70 BPM would be around 9-11. Since we need to round to the nearest integer, the closest RPE rank is 10.

Hence, the RPE rank corresponding to a resting heart rate of 70 BPM is 10.

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Answer:

Length is 7 units

Step by Step explanation:

Assuming you mean the Area is 28 square units

Then

L = w + 3

A = w(w + 3)

28 = w2 + 3w

We can subtract 28 from both sides of the equation to obtain the Quadratic

w2 + 3w - 28 = 0

Factoring to give

(w + 7)(w - 4) = 0

The width cannot be -7

w = 4

L = w + 3

L = 4 + 3 = 7

The width of the rectangle is 4 units and the length of the rectangle is 7 unites.

the probability of being broke at the end of the game is essentially 100%.

we can consider each coin flip as a separate event, with a probability of 0.5 for heads and 0.5 for tails. Let's calculate the probability of being broke at the end of the game.
First, we need to consider how many flips it would take to go from $60 to $0. If we keep losing $1 per flip, we would need to lose 60 times to reach $0. The probability of losing 60 times in a row is (0.5)^60, which is an extremely small number.
Secondly, we need to consider how many flips it would take to reach $100. If we keep winning $1 per flip, we would need to win 40 times to reach $100. The probability of winning 40 times in a row is (0.5)^40, which is also an extremely small number.
It is highly unlikely that someone would lose 60 times in a row, but it is still a possibility. As the number of flips increases, the probability of being broke becomes more and more certain.
In conclusion, while the probability of being broke at the end of the game is not exactly 100%, it is extremely close to that value.

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Answer: Image #1: C. Distributuve Property Image #2: A. n + 2(7)

Step-by-step explanation: For Image #1, they used the Distributive Property because the number 3 was (distributed) and multiplied to both x and 7. The equation is saying that 3x + 21 = 42, and that we’re trying to solve for x. For Image #2, the answer is A. n + 2(7) because after you solve the expression, the answer would be 14n. When you look at the four options, (A. B. C. D.), letter A. would be the answer because it equals to 14n.

Given:

The polynomial is:

\(-7-\dfrac{1}{2}x+x^2\)

To find:

The standard form \(ax^2+bx+c\) of given polynomial and then find the values of a,b,c.

Solution:

The given polynomial is:

\(P(x)=-7-\dfrac{1}{2}x+x^2\)

After arranging the terms, it can be written as:

\(P(x)=x^2-\dfrac{1}{2}x-7\)

On comparing this polynomial with \(ax^2+bx+c\), we get

\(a=1,b=-\dfrac{1}{2},c=-7\)

Therefore, the standard form of the given polynomial is \(x^2-\dfrac{1}{2}x-7\) and the required values are \(a=1,b=-\dfrac{1}{2},c=-7\).

The meaning of the point (1,10) on the graph of the function is given as follows:

10 gallons of gas in the tank after one hour.

All the points in the graph of a function have the format presented as follows:

(x,y).

In which:

For this problem, the input and output variables are given as follows:

Hence the interpretation of point (1,10) is that there are 10 gallons of gas in the tank after one hour.

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Answer:

2(x+21) > -30

Step-by-step explanation:

The "number" is x

The sum of x and 21 times 2

Greater than looks like this: >

-30 less than 2(x+21)

Step-by-step explanation:

1.8(2/7x)15

1.8×15(2/7x)

27(2/7x)

54/7x

Answer:

Yes

Step-by-step explanation:

I see no mathematical reason this could not happen. It has three sides which is what makes a triangle.

To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0

We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:

We can combine the three summations into a single summation:

∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0

Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:

This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:

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a. the intersection points are (11√2 + 11, π/4), (11√2 + 11, 5π/4). b. the area of the region is π * 11^2 - 121π/8 = 121π/8 * (8/8 - 1) = 847π/8.

a. To find the intersection points of the curves, we can substitute the equations for r into each other and solve for θ:

11 + 11 sin θ = 11 + 11 cos θ

Subtracting 11 from both sides and simplifying, we get:

sin θ = cos θ

Dividing both sides by cos θ (which is not 0), we get:

tan θ = 1

This means that θ is of the form π/4 + kπ, where k is an integer. To find the corresponding values of r, we can substitute into either equation:

r = 11 + 11 sin θ = 11 + 11 sin(π/4 + kπ) = 11 + 11/√2 = 11√2 + 11

Therefore, the intersection points are:

(11√2 + 11, π/4), (11√2 + 11, 5π/4)

b. The region that lies within both curves is a circle with radius 11, centered at (11, 0), minus a sector of a circle with radius 11 and central angle π/4. The area of the sector is (π/4)/2π times the area of the full circle, which is (π/4)/2π * π * 11^2 = 121π/8. Therefore, the area of the region is:

π * 11^2 - 121π/8 = 121π/8 * (8/8 - 1) = 847π/8.

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Step-by-step explanation:

These are going to be ABSOLUTE value type equations

I am not sure exactly how to SOLVE for them other than 'instinct' , intuition, trial and error and experience

the first one is

- | x  +1 |   + 1      

the second one is

- | x | +1

the third one is

| x -1|

Fourth one is

|x+1|  

Study these four, look for the 'patterns'  and try to do the last one yourself .....

The area of the rectangular patio to be painted is: B. A = (x + 20)(x + 10) - 12.

A rectangle, by definition, is a quadrilateral with two pairs of opposite that have the equal lengths. All four angles of a rectangle are right angles (90 degrees).

The area of a rectangle = (length of rectangle)(width of rectangle).

Given the following parameters for the patio and the bench:

Area to be painted = area of rectangular patio - area of rectangular bench

Area of rectangular patio = (x + 20)(x + 10)

Area of rectangular bench = (6)(2) = 12

Area to be painted = (x + 20)(x + 10) - 12

The answer is: B. A = (x + 20)(x + 10) - 12.

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Answer:

The answer is 7 meters

Step-by-step explanation:

Its 7 meters because if you divide the area by the width you would get the length (49 divided by 7 = 7)

Answer:

andre has more money

Step-by-step explanation:

Answer:

You need to write an equation for each.

For Andre, he has 100 dollars, and every week gets 5 dollars more. You add the 5 dollars, and Since you don't know how many weeks it has been, use a variable.

100 + 5w

For Elena, she has 10 dollars, and gets 20 each week.

10 + 20w

Now that you know that it has been 4 weeks, you can plug in 4 for the variable for weeks.

Andrew:

100 + 5(4) =120

Elena

10 + 20(4) ==90

Andrew has more money in this time.

To find when they have the same amount, equal their expressions to each other. This means that they will have the same amount (because they are equalled) and you can solve to find the variable, which means the weeks that they are equal at.

Bring the like terms to each side by canceling them out. Since you have positive 10, then subtract 10 to each side. You have 5w, so subtract 5w to each side.

90+5w=20w

90=15w

90÷15=6

6=w

The answer will simplify down to 6 weeks.

The criterion used to obtain the ordinary least square (OLS) estimator is to minimize the sum of the squared differences between the observed values and the predicted values.

In OLS, the goal is to find the line that best fits the given data points. The estimator minimizes the sum of the squared residuals, which are the differences between the observed values and the predicted values. The squared residuals are used to ensure that both positive and negative differences contribute to the overall error measure.

The OLS estimator achieves this by calculating the coefficients of the linear regression model that minimize the sum of the squared residuals. It finds the intercept and slope of the line that minimizes the total squared distance between the data points and the regression line. This minimization process is based on the principle of least squares, which aims to find the best-fitting line by minimizing the overall error.

By minimizing the sum of the squared residuals, the OLS estimator provides a measure of how well the regression line represents the data points. It allows for the determination of the line's slope and intercept, which can be used for predicting values and understanding the relationship between the variables.

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The statement is true. If the row [0 0 0 1 0] is in echelon form of an augmented matrix, then the associated linear system is always consistent. This means there is at least one solution to the system of linear equations.

Echelon form is a type of row-echelon form that has specific properties. In echelon form, the leading coefficient (non-zero element) of each row is strictly to the right of the leading coefficient of the row above it. In the given row [0 0 0 1 0], the leading coefficient is 1, and it is the only non-zero element in the row.

In an augmented matrix, the rightmost column represents the constants or the right-hand side of the linear equations. Since the leading coefficient in the given row is 1 and there are no non-zero elements to the left of it, this implies that the associated linear equation is of the form 0x + 0y + 0z + w = 0. This equation simplifies to w = 0.

Since w is a free variable and its value can be chosen as 0, the linear system is consistent. Every consistent system has at least one solution, and in this case, the solution is when w = 0, while x, y, and z can take any values.

Therefore, if [0 0 0 1 0] is one row in an echelon form of an augmented matrix, the associated linear system is always consistent.

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The statement "Linear programming can be used to find the optimal solution for profit, but cannot be used for nonprofit organizations" is False.

Linear programming can be used to find the optimal solution for profit as well as for non-profit organizations. Linear programming is a method of optimization that aids in determining the best outcome in a mathematical model where the model's requirements can be expressed as linear relationships. Linear programming can be used to solve optimization problems that require maximizing or minimizing a linear objective function, subject to a set of linear constraints.

Linear programming can be used in a variety of applications, including finance, engineering, manufacturing, transportation, and resource allocation. Linear programming is concerned with determining the values of decision variables that will maximize or minimize the objective function while meeting all of the constraints. It is used to find the optimal solution that maximizes profits for for-profit organizations or minimizes costs for non-profit organizations.

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The solution to the equation "Three times the sum of a number and 6 equals twice the number" is x = -18.

To translate the given statement into an equation, let's break it down step by step:

"Three times the sum of a number and 6": Let's assume the number is represented by 'x'. The sum of a number and 6 would be (x + 6). Multiplying this sum by three gives us 3(x + 6).

"Equals twice the number": Twice the number would be 2x.

Combining these parts, we can form the equation:

3(x + 6) = 2x

To solve for 'x', we will simplify and isolate the variable 'x':

Expand the equation:

3x + 18 = 2x

Subtract 2x from both sides to isolate the 'x' term:

3x - 2x + 18 = 2x - 2x

x + 18 = 0

Subtract 18 from both sides to isolate the 'x' term:

x + 18 - 18 = 0 - 18

x = -18

Therefore, the solution to the equation "Three times the sum of a number and 6 equals twice the number" is x = -18.

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Answer:

t > 3

Step-by-step explanation:

1 hour = 194

582 / 194 = 3

She needs to ride for 3 hours to burn 582 calories

She needs to ride for more than 3 hours to burn more than 582 calories

Answer:

-20x9= -180.    2 to the power of three =8  if you want the quotient it would be -22.5

Step-by-step explanation:

Answer: 2 and 15

Step-by-step explanation:

2 and 15 times to 30

2 and 15 + to 17

Answer:

the domain is continuous

Step-by-step explanation:

hope this helps :)