Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the verbal descriptions with the correct equations.

The x-intercepts of a quadratic function are the points where the function graph intersects the x-axis. To find the x-intercepts of the given quadratic function, we need to determine the values of x when the y-value (or the function value) is equal to 0.

From the given information, we can see that the quadratic function passes through the points (-2, 0) and (1, 0), which indicates that the function intersects the x-axis at x = -2 and x = 1. Therefore, the quadratic function x-intercepts are (-2, 0) and (1, 0).

The correct answers are (d) (-2, 0) and (1, 0).

the answer for the equation is 0

Answer:

21.6

Step-by-step explanation:

i did the math

Answer:

B. 1/6

Step-by-step explanation:

Answer:answer is 3(9a+1)

Step-by-step explanation:

Q1. The mean value for given data set is 29.07.

The summary statistics for data set 1 are as follows:

Mean: The formula to find the mean of a set of data is: Mean = (sum of all values) / (total number of values)Using the above formula, we get:

Mean = (37 + 25 + 25 + 48 + 35 + 15 + 19 + 17 + 29 + 31 + 25 + 42 + 46 + 40) / 14Mean = 407 / 14Mean = 29.07 (approx)

Therefore, the mean value of the data set is 29.07.

Q2. The median value for given data set is 33.

In order to find the median, we need to arrange the given data set in ascending or descending order.

The given data set in ascending order is: 15, 17, 19, 25, 25, 25, 29, 31, 35, 37, 40, 42, 46, 48.We can observe that the middle two values are 31 and 35. The median of the data set will be the average of these two middle values.

Therefore, Median = (31 + 35) / 2Median = 66 / 2Median = 33

Therefore, the median value of the data set is 33.

Q3. The mode value of given data set is 25.

The mode of the data set is the value that occurs the maximum number of times in the data set. The value 25 occurs three times which is the highest frequency.

Therefore, the mode value of the data set is 25.

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Answer:

the topmost one maybe?

Step-by-step explanation:

I'm guessing since X & Y are negative, (it's written X,Y,Z, right?)

The point would be reducing on the X&Y axes, an since Z is positive, it would increase on the Z axis

The point C( -2,-1, 2) is represented by option 4 in the three dimensional space

Let (x, y , z) be any point in the three dimension then x represents x-coordinate, y represent y-coordinate and z represent z- coordinate

The point C( -2, -1. 2) represent point with x = -2 , y = -1  and z = 2

(-2,-1) is point with x= -2 and y = -1 represent  is marked in the the x y plane in fourth quadrant and z =2 means that this (-2,-1 ) is taken 2 units up in the perpendicular direction of positive z- axis as shown in the attached figure.

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Answer:

2000

Step-by-step explanation:

Number of shares after split is 5/2 times the pre split value =800*5/2 = 2000

The statement "All seasons had the same level of variability in game scores" must be false.

To determine which statement must be true based on the mean game scores and standard deviations of four seasons of a football team, we need to analyze the data provided.

Given:

Season 2005: Mean = 193.5, Standard Deviation = 0

Season 2006: Mean = 212.8, Standard Deviation = 0

Season 2007: Mean = 121.0, Standard Deviation = 0

Season 2008: Mean = 94.0, Standard Deviation = 0

From the given data, we observe that all the standard deviations are zero. This indicates that there is no variation or spread in the game scores within each season. However, it is highly unlikely for a football team to have zero variation in game scores across multiple seasons.

Therefore, the statement "All seasons had the same level of variability in game scores" must be false.

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Answer: no solution

Step-by-step explanation:

Correct, there is no solution as any values of x and y will make the equation false

Answer:

\(1290 = \frac{h}{10} + \frac{h}{5} \\ 12900 = h + 2h \\ 3h = 12900 \\ h = 4300\)

The linear model for the snow (S) in terms of hours (h) during the snowstorm is S = 2h + 8, where S represents the snow in inches and h represents the number of hours since the start of the snowstorm.

To write a linear model for the snow (S) in terms of hours (h) during the snowstorm at the ski resort, we can use the information given:

The initial amount of snow on the ground when the snowstorm began is 8 inches.

The snow is falling at a rate of 2 inches per hour.

Based on this information, we can establish the following linear relationship:

S = 2h + 8

In this linear model, 'S' represents the amount of snow in inches, and 'h' represents the number of hours since the start of the snowstorm. The coefficient of 'h' is 2, representing the rate of snowfall per hour. The constant term 8 represents the initial amount of snow on the ground before the snowstorm started.

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this equation is unanswerable, there is no way to find x.

Step-by-step explanation:

Answer:

1) Statistical

2)Not statistical

3)Not statistical

Step-by-step explanation:

If your not sure just visit  it will tell you the answers.

Hope it helps!!

The information shows that f(4)=f(30) tells us that the weight of a particular female panda at 4 years old is the same as her weight at 30 years old.

It is a mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable).

In this case, Dr. Coleman is a zoologist who studies giant pandas. Giant pandas are very tiny when they are born but grow to be quite large. The function f(x) gives the weight, in pounds, of a particular female panda when she was x years old.

The function illustrated shows that the weights are the same.

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The largest number of matches she could have won before are 164 matches.

A ratio shows the relation between two amounts. For example, the ratio of apples to pears in a basket or the ratio of women to men in a town.

First represent the matches she had won, using n as a reference. This means:

\(\frac{n}{2n} = \frac{1}{2}\)

Then, based on this let's add the current ratio:

\(\frac{n+3}{2n+4} = \frac{503}{1000}\)

Based on this, let's solve this inequality to find out the number of matches the player won before. Follow these steps:

Based on the previous process, the number of matches the player could have won before the weekend began was 164 matches.

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The cardinality of the cartesian product of A and B is 18.

Cartesian Product of two sets A and B is defined as the set of all ordered pairs (a,b) where a∈A & b∈B.

Cardinality of a set is defined as the number of elements in that particular set.

For example,  for a set A={2,6,4} , the cardinality is 3.

Given set A= { x | x is a prime number less than 7}

A={2,3,5}

set B =  { y | y is perfect square of an integer and y is less than 29}

B={0,1,4,9,16,25}

The cartesian product of A and B denoted by AxB will be

AxB={(2,0),(2,1),(2,4),(2,9),(2,16),(2,25),(3,0),(3,1),(3,4),(3,9),(3,16),(3,25),(5,0),(5,1),(5,4),(5,9),(5,16),(5,25)}

The number of elements in AxB is 18.

Therefore , the cardinality of the cartesian product of A and B is 18.

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  a,b and e  Read the paragraph from The Evolution of Useful Things.

In 1916 the company's sales manager insisted that a laboratory be formed to carry out experiments and tests to ensure quality control so that salesmen would not be embarrassed by faulty products. The laboratory in time made possible the research and development necessary to produce new and improved items in response to problems experienced by sandpaper users.

Which words from the excerpt indicate an order of the events in this paragraph?

In 1916, to carry out

to carry out, ensure

so that, in time

In 1916, in time

Answer:

algebraic expression for 180 degree clockwise rotation about the origin (x,y) → (-y, x) algebraic expression for 270 degree clockwise rotation about the origin equals a 270 degree counterclockwise rotation 90 degree clockwise rotation equals a 90 degree counterclockwise rotation

Step-by-step explanation:

hope this helps

have an awesome day -TJ

The given force field is F(r,θ,z) = −kr3r^. To check whether the given force is conservative or not, it is required to confirm whether the given force is a central force or not.

Given force is F(r,θ,z) = −kr3r^.

So, F = -kr3r^ where r^ is a unit vector in the radial direction.

In the radial direction, F = F r r^

For the given force, F r = -kr³ is only dependent on the magnitude of the radius vector r, and not on its direction.

In other words, F r is a function of r only and hence the given force is a central force. Thus, the given force is conservative

The potential energy of the particle moving around in F(r,θ,z) = −kr3r^ is given as follows:

V(r) = -W(r) where, W(r) is the work done by the force F(r,θ,z) in moving a particle from infinity to the point P(r,θ,z).

To find W(r), consider a particle starting from infinity moving along a path r→0.

The work done by the force F along this path is given by the integral of F over this path.

W(r→0) = ∫r→0 F(r) · dr = -∫r→0 kr³ · dr = -k/4 r⁴ → infinity

Thus, the potential energy of the particle is V(r) = k/4 r⁴ + C, where C is the integration constant.

As the force is conservative, the total energy of the particle E = K + V is constant where K is the kinetic energy of the particle.

Substituting v = d/dt r in the equation of energy, we get

E = 1/2 m (dr/dt)² + k/4 r⁴ + C.

Rearranging the terms, we get

E = 1/2 m (dr/dt)² + 1/2 k r² + C.

But, we know that, k/4 r⁴= 1/2 k r².

Therefore, E = 1/2 m (dr/dt)² + 1/2 k r² + C.

Thus, the total energy of the particle E is given by

E = 1/2 m (dr/dt)² + 1/2 k r² + C.

The given force F(r,θ,z) = −kr3r^ is a conservative force, as it is a central force. The potential energy of the particle moving around in this force field is given by V(r) = k/4 r⁴ + C, where C is the integration constant. The total energy of the particle E is given by E = 1/2 m (dr/dt)² + 1/2 k r² + C.

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\( = \sqrt{( {x2 - x1})^{2} + ( {y2 - y1})^{2} } \\ = \sqrt{ (- 1 - 6 )^{2} + ( {14 - 16)}^{2} } \\ = \sqrt{( { - 7)}^{2} + ( { - 2)}^{2} } \\ = \sqrt{49 + 4} \\ = \sqrt{53} \)

ATTACHED IS THE SOLUTION

Answer:

Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution.

Step-by-step explanation:

We are looking at two lines.

4(x + 3) + 2x = 6(x +2)

4x + 12 + 2x = 6x + 12

6x + 12 = 6x + 12

These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).

5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 4x = x + 3x + 3

4x + 11 = 4x + 3

Both lines have the same gradient but have a different incline with the y axis. By definition, they are parallel to each other and there fore have zero solutions. Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution, which is the answer we are looking for.

5(x + 3) + x = 4(x +3) + 3

5x + 15 + x = 4x + 12 + 3

6x + 15 = 4x + 15

These are two different lines with exactly one solution.

4 + 6(2 + x) = 2(3x + 8)

4 + 12 + 6x = 6x + 16

6x + 16 = 6x + 16

These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).

Answer:

yes that correct

Step-by-step explanation:

The probability of the word MATH being found in one of the two piles is approximately 0.0000242, which is a very small probability.

This is a probability question that requires a bit of combinatorics. There are 26 letters in the alphabet, and they are separated into two equal piles, each containing 13 letters.

To calculate the probability of the word MATH being found in one of the piles, we need to first determine the number of ways that the letters can be arranged in each pile.

For the first pile, there are 13 letters to choose from, so we have 13 choices for the first letter, 12 choices for the second letter, 11 choices for the third letter, and 10 choices for the fourth letter.

This gives us a total of 13 x 12 x 11 x 10 = 15,120 possible arrangements.

The same is true for the second pile, so we have a total of 15,120 x 15,120 = 228,614,400 possible arrangements for the two piles combined.

To calculate the probability of the word MATH being found in one of the piles, we need to determine how many of these arrangements contain the letters M, A, T, and H in the same pile.

To do this, we can fix the position of the first letter, which must be one of the letters in MATH.

There are four choices for this letter. We can then fix the position of the second letter, which must be one of the remaining three letters in MATH. There are three choices for this letter.

We can then fix the positions of the remaining two letters, which must be two of the 22 remaining letters in the pile. There are 22 x 21 = 462 possible arrangements for these two letters.

Multiplying these choices together gives us a total of 4 x 3 x 462 = 5,544 possible arrangements that contain the letters M, A, T, and H in the same pile.

Finally, we can calculate the probability of the word MATH being found in one of the piles by dividing the number of arrangements that contain the letters M, A, T, and H in the same pile by the total number of possible arrangements. This gives us:

Probability = 5,544 / 228,614,400 = 0.0000242

So the probability of the word MATH being found in one of the two piles is approximately 0.0000242, which is a very small probability.

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1.

a.) The color of Aqueous solution turns light green from blue, due to formation of iron sulphate .

b.) The color of the Aqueous solution turns colorless from blue due to formation of zinc sulphate.

2. Bells used in temples aren't made up of wood because wood isn't sonorous and hence can't produce ringing sound, and hence metals are used in making bells.

3. phosphorous is kept in water because it is highly reactive and reacts vigorously with air if left free in atmosphere .

4.

a.) CuSO4 + Mg =》MgSO4 + Cu

this is a single displacement reaction, where Magnesium being more reactive than Copper, displaces copper from its compound (copper sulphate) to form magnesium sulphate.

b. H2SO4 + Zn =》ZnSO4 + H2

this is a single displacement reaction,

where Zinc being more reactive than

hydrogen, displaces hydrogen from its

compound (sulphuric acid) to form Zinc sulphate.

a.) The color of Aqueous solution turns

The color of Aqueous solution turnslight green from blue, due to formation

The color of Aqueous solution turnslight green from blue, due to formationof iron sulphate.

b.) The color of the Aqueous solution

The color of the Aqueous solutionturns colorless from blue due to

The color of the Aqueous solutionturns colorless from blue due toformation of zinc sulphate.

Bells used in temples aren't made upof wood because wood isn't sonorousand hence can't produce ringing sound,and hence metals are used in makingbells.

phosphorous is kept in water becauseit is highly reactive and reacts vigorouslywith air if left free in atmosphere

a.) CuSO4+ Mg MgS04 +Cu

this is a single displacement reaction,where Magnesium being more reactivethan Copper, displaces copper from itscompound (copper sulphate) to formmagnesium sulphate.

b. H2S04 +Zn =) ZnS04+H2

b. H2S04 +Zn =) ZnS04+H2this is a single displacement reaction,where Zinc being more reactive thanhydrogen, displaces hydrogen from itscompound (sulphuric acid) to form Zincsulphate.

Step-by-step explanation:

I hope it helps

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Answer:

a. ║ x - 23 ║ ≤ 6 b.  17 ≤ x ≤ 29

Step-by-step explanation:

a. Let x be the length of the wall. Since the length of the wall is half the length of the drive way with an absolute deviation of 6 at most, since the drive way is 46 foot long, half of it is 46/2 = 23.

So, 23 ± 6 ≤ x or x - 23 ≤ ±6 or ║ x - 23 ║ ≤ 6

b. Solving the absolute value inequality,

-(x - 23) ≤ 6 and x - 23 ≤ 6

x - 23 ≥ 6 and x - 23 ≤ 6

x ≥ 23 - 6 and x ≤ 23 + 6

x ≥ 17 and x ≤ 29

So 17 ≤ x ≤ 29

Answer:

The interval on which the solution is defined depends on the domain of the exponential function. Since e^((1/2)x^2 + ln(2)) is defined for all real numbers, the solution is defined on the interval (-∞, +∞), meaning the solution is valid for all x values.

Step-by-step explanation:

o solve the differential equation dy/dx = xy with the initial condition y(0) = 2, we can separate the variables and integrate both sides.

Starting with the given differential equation:

dy/dx = xy

We can rearrange the equation to isolate the variables:

dy/y = x dx

Now, let's integrate both sides with respect to their respective variables:

∫(dy/y) = ∫x dx

Integrating the left side gives us:

ln|y| = (1/2)x^2 + C1

Where C1 is the constant of integration.

Now, we can exponentiate both sides to eliminate the natural logarithm:

|y| = e^((1/2)x^2 + C1)

Since y can take positive or negative values, we can remove the absolute value sign:

y = ± e^((1/2)x^2 + C1)

Next, we consider the initial condition y(0) = 2. Substituting x = 0 and y = 2 into the solution equation, we get:

2 = ± e^(C1)

Here, we see that e^(C1) is positive since it represents the exponential of a real number. So, the ± sign can be removed, and we have:

2 = e^(C1)

Taking the natural logarithm of both sides:

ln(2) = C1

Now, we can rewrite the general solution with the determined constant:

y = ± e^((1/2)x^2 + ln(2))

The value of y is multiplied by 6 when x is divided by 6

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

y = 3/x

Also, from the question we understand that

x is divied by 6

This means that the new equation is

y = 3/(x/6)

Evaluate

y = 6 * 3/x

This means that the new value of y is  multiplied by 6

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Answer:

75

Step-by-step explanation: