After simplifying the following expression, the coefficient of the m^2 term will be ______.
6mn^2 + 3m^2 + 16m^2 - 6m^2 - 5nm^2
The solution is ______

Answer:  the number that can be placed in the box to make the statement true is 3.

Step-by-step explanation:

To make the statement true, we need to find a number that, when added to 7, equals 10. From the given options, the number that satisfies this condition is 3.

If we substitute 3 for the box in the statement, it becomes:

If +7=10, then 10-7=3.

Answer:

77 cm²

Step-by-step explanation:

The figure can be decomposed into two rectangles.

✔️Area of rectangle 1:

Area of rectangle 1 = length * width

length = 3.5 cm

width = 8 cm

Area of rectangle 1 = 3.5*8 = 28 cm²

✔️Area of rectangle 2:

Area of rectangle 2 = length * width

length = 14 cm

width = 3.5 cm

Area of rectangle 2 = 14*3.5= 49 cm²

✔️Area of the figure = 28 + 49 = 77 cm²

Answer: 110 miles

Step-by-step explanation:

Answer:

110 miles

Step-by-step explanation:

55x2 hours =110

The three locations are:

Location I

Location II

Location III

These locations represent the rows of the matrix

The types of ice cream represent the columns

Soft-serve Chunky Nonfat

Location I 13 gal 100 gal 30 gal

Location II 22 gal 90 gal 17 gal

Location III 60 gal 120 gal 40 gal

The 3 × 3 matrix that shows the sales figures for the three locations is:

Answer:

d

Step-by-step explanation:

1 kg has 1000 g

Then 2,5 kg has 2,5 × 1000 = 2500 g

You can also make a proportion:

1 kg - 1000 g

2,5 kg - x g

Use the property of the proportion to find x (cross-multiply):

x = 2,5 × 1000 / 1 = 2500 g

Answer:

\(8x-38\)

Step-by-step explanation:

\(3(x-6)+5(x-4)\\3x-18+5x-20\\3x+5x-18-20\\8x-38\)

Answer: Pearson correlation statistic

Step-by-step explanation:

The Pearson Correlation statistic is used to measure linear association. It simply measures the statistical relationship that exists between two variables that are continuous. Information about both the magnitude and the direction are being provided by the Pearson Correlation statistic.

Since both the SAT scores and the high school GPA has to do with numbers, we are going to use Pearson correlation statistic. Spearman correlation are used for ranking.

The answer to number 2 is- no it's not a right triangle

the answer to number 3 is- yes it is a right triangle

Answer:

344.25

Step-by-step explanation:

The Answer is: $344.25

Answer:

Ali has 1528. She has 1146 more cards than Max. In total, there are 1910 cards.

Step-by-step explanation:

382 x 4 = 1528

1528 - 382 = 1146

1528 + 382 = 1910

Answer:

Answer:

the coordinates of the point of x and y is -1÷ 2 and -√3÷ 2

Step-by-step explanation:

The computation of the coordinates of the point is shown below:

The angle is

= 4π ÷ 3

The radius is 1 unit

Now

x = rcos\(\theta\), and y = rsin\(\theta\)

Now

x = 1cos(4π ÷ 3) = -1÷ 2

y = 1sin(4π ÷ 3) = -√3÷ 2

hence, the corordinates of the point of x and y is -1÷ 2 and -√3÷ 2

Answer: x= -1/2 y= -root3/2

Step-by-step explanation:

Step-by-step explanation:

Hey there!!

Here, According to the question;

Let one number be x then another number will be x+37. (as one number is 37 more than other number. )

Now,

Their sum is 91.

It would be like;

\(x + (x + 37) = 37\)

\(2x + 37 = 91\)

\(2x = 91 - 37\)

\(x = \frac{54}{2} \)

Therefore the value of x is 27.

So, one number is 27 and another number is 64.

Hope it helps....

Answer:Ten dollars per hour

Step-by-step explanation:

50 hour =500 dollars

1 hour = ?

Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.

?=(1 hour×500 dollars)/50 hour

?= 500 dollars/50

?=10 dollars per hour

The DF value we get after is 143 and the integration value we get is 1.76

What is a value ?

Value in ethics and social sciences refers to the degree of significance of something or an activity, with the goal of deciding the best courses of action to take or the best ways to live, or to define the significance of certain activities.

The value describes the value of each digit in relation to its position in the number. The place value and face value of the digit are multiplied to arrive at the answer. Value equals Place Value minus Face Value. Consider this: If we take 45 into consideration. The tens column is where the fourth digit is located in this instance.

The things that someone values are known as their values. In other terms, values are what a person or a group of people see as "important."

(a)

DF for Factor A = 6 - 1 = 5

DF for Factor B = 4 - 1 = 3

DF for Interaction of Factor A and B = 5*3 = 15

Number of replications per cell = 6

Total no of observations = 6*(N_Factor A)*(N_Factor B) = 6 * 6 * 4 = 144

DF Residuals = 144 - 5 - 3 - 15 - 1 = 120

Total DF = N - 1 = 143

(b) Critical F values

Factor A = F(5,120) = 2.30

Factor B = F(3,120) = 2.69

Interaction = F(15,120) = 1.76

(c) As F statistics for Factor A, Factor B as well as Interaction is >> Fc, Hence we can Reject the Null Hypothesis and warrant the rejection of the claim for equality of means

Hence there is a significant difference in Factor A and there is a significant difference in Factor B.

(d) As the F statistics for Interaction = 4.2 >> Fc (1.76), Hence we can conclude that there is a significant Interaction impact of Factor A and Factor B.

Hence there is a significant difference for Interaction term.

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The linear function that shows the total cost for h hours is given as follows:

C(h) = 30 + 50h.

The graph is given by the image presented at the end of the answer.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The parameters for this problem are given as follows:

m = 50, b = 30.

Hence the function is given as follows:

C(h) = 30 + 50h.

The points are given as follows:

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

the answer will be 4/36

Answer:

2y

Step-by-step explanation:

Since 17y and 15y both have a y, you can combine it. You can subtract 17-15 to get 2, so the answer is 2y.

The slope of the line that passes through the points (2, 8) and (-3, 14) is -6/5 in the simplest form.

A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

The slope of a line is given by the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

Plugging in the given points, we get:

m = (14 - 8) / (-3 - 2)

m = 6 / -5

m = -6/5

so the slope of the line that passes through the points (2, 8) and (-3, 14) is -6/5 in the simplest form.

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The number of points to be removed from the graph is 2

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

The graph

From the graph, we can see that

2 points have the same y coordinates

Another 2 points have the same y coordinates

For it to be a function, one of the 2 points must be removed each

So, we have the number of points to be removed from the graph is 2

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Answer:

bottle top

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the center, radius, and equations in standard form and general form for the circle shown in the graph.

The center is the point marked. Its coordinates are ...

  (x, y) = (2, -1)

The radius is the distance from the center to any point on the circle. It is usually convenient to read the radius on a graph by considering points on the same horizontal or vertical line as the center of the circle.

Here, the circle passes through point (6, -1), so the radius is 6 -2 = 4.

The radius is 4 units.

The standard form equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

For center (2, -1) and radius 4, this is ...

  (x -2)² +(y +1)² = 16 . . . . standard form equation

The general form of a polynomial equation is f(x, y) = 0, with the terms listed in lexicographical order by decreasing degree. This is found from the standard form by expanding it, combining terms, and arranging them in the required order:

  (x -2)² +(y +1)² = 16 . . . . . standard form

  x² -4x +4 +y² +2y +1 -16 = 0 . . . . . eliminate parentheses, subtract 16

  x² +y² -4x +2y -11 = 0 . . . . general form equation

the equation of the line tangent to the curve y at x = 3 is y = 36x - 102.  The slope of the tangent line to the curve y at x = 3 is 36.

The equation of the line tangent to the curve y at x = 3 can be written using the point-slope form of a line, which is:

y - y1 = m(x - x1)

where m is the slope of the line, (x1, y1) is a point on the line, and m and (x1, y1) are known. In this case, m = 36 and (x1, y1) = (3, y). Substituting these values into the equation above, we get:

y - y = 36(x - 3)

y = 36x - 102

So the equation of the line tangent to the curve y at x = 3 is

y = 36x - 102.

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The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

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

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Answer:  6 seconds

Step-by-step explanation:

x refers to time. Since we want to know how long it is in the air, we need to find the time (x) when the ball lands on the ground (y = 0)

0 = -14x² + 84x

0 = -14x(x - 6)

0 = -14x     0 = x - 6

0 = x         6 = x

x = 0 seconds is when the ball was hit

x = 6 seconds is when the ball landed on the ground

Answer:

I'm pretty sure the answer is 575 :D

Step-by-step explanation:

1,000 minus 425 is 575. have a good day!

The rank of the matrix is 3, since there are three linearly independent rows.

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.

To find the rank of the matrix:

[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]

We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.

\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)

This gives us the following matrix:

[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]

We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.

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Answer:

Y = 20

Step-by-step explanation:

Because x = 12 we do:

2(12) - 4.

2 x 12 = 24.

24 - 4 = 20.

I hope this helps :)