A is a m by n matrix, which statement is not necessarily right? Pick ONE option a. If m equals n and the rank of A is n, A is invertible b. UT The dimension of row space equals the dimension of column space c. If rank of A is smaller than the rank of A's augmented matrix, there is no solution for the linear system d. if rank of A equals the rank of A's augmented matrix, there is unique solution for the linear system . e. None of above

Answer:16/39

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

we know that, p(E)=No. of favourable outcomes/Total no. of outcomes

therefore, no. of blue clips=6

p(blue clips)= 6/15

=0.4

THANKYOU

Answer:

Let's use a system of equations to solve this problem.

Let c be the cost of one package of cookies. Then we can write two equations based on the given information:

5c + 1m = 17 (where m is the cost of one gallon of milk)

10c + 3m = 36

We want to solve for c, so let's eliminate m by multiplying the first equation by 3 and subtracting it from the second equation:

10c + 3m = 36

-(15c + 3m = 51)

-5c = -15

Simplifying, we get:

c = 3

Therefore, each package of cookies costs $3.

Answer:

The domain is all real numbers: (-∞, ∞).

Step-by-step explanation:

Given expression:

[tex]\dfrac{x^2-1}{5xy} \cdot \dfrac{ x^2y}{1+x}[/tex]

[tex]\textsf{Apply the fraction rule:} \quad \dfrac{a}{b}\cdot\dfrac{c}{d}=\dfrac{ac}{bd}[/tex]

[tex]\implies \dfrac{(x^2-1)x^2y}{5xy(1+x)}[/tex]

Rewrite (x² - 1) as (x + 1)(x - 1):

[tex]\implies \dfrac{x^2y(x+1)(x-1)}{5xy(1+x)}[/tex]

Cancel the common factor xy(x + 1):

[tex]\implies \dfrac{x(x-1)}{5}[/tex]

Simplify:

[tex]\implies \dfrac{x^2-x}{5}[/tex]

The domain of the expression is unrestricted since the denominator is an integer rather than an expression.  Therefore, the domain is all real numbers:

The key phrase in this question is "leading term equals x3," "highest coefficient is 2," and "1 is a fixed integer."

A polynomial is a mathematical operation with factors and uncertainty that uses only additions, erasures, multiplications, and powers of positive integer variables. There is just one indeterminate x polynomial identified by the formula x2 4x Plus 7. The word "polynomial" refers to an expression in mathematics that consists of variables (also referred to as "indeterminates") and coefficients that can be introduced, subtracted, repeated, and raised to minus integer ones of non-variables. A polynomial is an algebraic expression with factors and coefficients. Only addition, deduction, multiplication, and non-negative numerical exponents are permitted in expressions. The term for these expressions is polynomials.

given

Given  circumstance;

Any equation, like 2x³ + 3x + 1,

This is how the equation is written:  ax³ + bx + c

In this case, a = dominating Coefficient;

leading term Equals x³ 

Constant term Means

The key phrase in this question is "leading term equals x3," "highest coefficient is 2," and "1 is a fixed integer."

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Answer:

3 jumps in 12 minutes

Step-by-step explanation:

Lets start by converting the rate of jumps in 10 hours to 1 hour. If we divide 150 by 10 we get 15 jumps per hour. We know there are 60 minutes in 1 hour so lets convert that rate. We divide 15 by 60 to get .25 jumps per minute. We then do .25 times 12 to get 3. So the answer is 3 jumps in 12 minutes.

Answer:

In Group A, Maxine made a mistake, the solution should be (-3,4)

In Group B Sergio made a mistake, the solution should be (3,2)

Step-by-step explanation:

Substitute the given solutions to the system of equations, then see which ones are incorrect, after doing this solve the incorrect ones and you will have your answer.

No boat may be rented for more than t 7.5.

The larger than symbol (>), just under symbol (), more than or equal to symbol (), less than or similar to symbol (), but not equal to symbol () are the four inequality symbols in mathematics.

Relationships among two expressions that aren't equivalent to one another are known as inequalities.The symbols, >,, and, are used to denote inequalities. translates form right to left as "7 is larger than" or "is less than 7."

The phrase "at most" means "less than or equivalent to." Hence, the lesser than or equivalent to sign will be used to represent the disparity. The hourly rate for the boat is $6, which is equivalent to:

6t

A discount coupon means subtracting $4 from the 7t:

[tex]6t-3[/tex]

When these are placed with the inequality:

6t - 3 ≤ 45

Solving this inequality means isolating the variable. To do this, adding 4 to both sides will be the first step.

6t ≤ 45

Finally, dividing both sides by 6 will get the final answer of 7.5, meaning the possible number of hours they could rent the boat is no more than 7.5.

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The answer is 52402

1379 x 38 = 52402

Answer: 56, 63, 70

Step-by-step explanation:

7 x 8 = 56

7 x 9 = 63

7 x 10 = 70

Hope this helps!

The best estimate for the amount of cost A when there is expected to be 8,570 units would depend on the cost per unit of A.

Without knowing the cost per unit, it is not possible to accurately estimate the total cost of A for 8,570 units.
To find the total cost of A for 8,570 units, you would multiply the cost per unit of A by the number of units (8,570). For example, if the cost per unit of A is $2, then the total cost of A for 8,570 units would be $2 x 8,570 = $17,140.
Therefore, without knowing the cost per unit of A, it is not possible to provide the best estimate for the amount of cost A when there is expected to be 8,570 units.

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The function of the given graph will be ax²+by+c.

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

Here the graph is a function of 2nd order polynomial which means it's a quadratic function.

The form of the function could be f(x) = ax²+by+c.

Hence, The function of the given graph will be ax²+by+c.

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N has a total number of divisors of 22,953,195,865,728.

To find the sum of divisors of N, we need to use the formula:

Sum of divisors = (p⁰ + p¹ + p² + ... + p^a) x (q⁰+ q¹ + q² + ... + q^b) x (r⁰ + r¹ + r² + ... + r^c) x ...

Where p, q, r, etc. are the prime factors of N, and a, b, c, etc. are the exponents of these prime factors.

Using this formula, we can find the sum of divisors of N as:

Sum of divisors = (1 + 7 + 7² + 7³ + 7⁴ + 7⁵) x (1 + 3 + 3² + ... + 3⁸) x (1 + 5 + 5² + 5³ + 5⁴)

Simplifying each of the geometric series within the parentheses, we get:

Sum of divisors = (1 - 7⁶)/(1 - 7) x (1 - 3⁹)/(1 - 3) x (1 - 5⁵)/(1 - 5)

Evaluating each of these fractions, we get:

Sum of divisors = (11764808) x (19682) x (78126)

Multiplying these values together, we get:

Sum of divisors = 22,953,195,865,728

Therefore, the sum of divisors of N is 22,953,195,865,728.

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Answer:

40 %

Step-by-step explanation:

The solutions of the quadratic equation are x = -2 ± √11

Here we have the quadratic equation:

x²+4x-7=0

We want to solve this by completing squares, so let's do that.

Remember that (a + b)² = a² + 2ab + b²

We can rewrite our equation as:

x² + 2*2*x - 7 = 0

Now we can add 2² in both sides:

x² + 2*2*x + 2² - 7 = 2²

x² + 2*2*x + 4 - 7 = 4

(x + 2)² =  4 + 7

(x + 2)² =  11

x + 2 = ±√11

x = -2 ± √11

These are the solutions.

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Adriana drove 92 meters in the rain.

What is the relationship between speed, distance and time?

The relationship between speed, distance, and time is given by the formula:

distance = speed x time

This formula states that the distance covered by an object is equal to the product of its speed and the time it travels. Alternatively, we can say that:

speed = distance / time

This formula gives the speed of an object based on the distance it covers and the time it takes. Finally, we can also rearrange the formula to solve for time:

time = distance / speed

This formula gives the time it takes for an object to travel a certain distance at a given speed.

Given by the question:
Adriana drove for 8 minutes at 46 meters per minute, so the total distance she drove is:

distance = time x speed = 8 minutes x 46 meters per minute = 368 meters

Since it was raining for one-quarter of the time, the time Adriana spent driving in the rain is:

time in rain = 8 minutes x (1/4) = 2 minutes

To find the distance she drove in the rain, we can use the formula:

distance = time x speed

where time is 2 minutes and speed is 46 meters per minute. Therefore:

distance in rain = 2 minutes x 46 meters per minute = 92 meters

So, Adriana drove 92 meters in the rain.

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The initial markup percentage for the children's department is 37.31%.

First, we need to calculate the total deductions:

Total deductions = Employee discounts + Shortages + Cash discounts + Alteration costs

Total deductions = $2,100 + $1,550 + $5,500 + $3,500

Total deductions = $12,650

Next, we need to calculate the total cost:

Total cost = Net sales - Profit + Markdowns + Total deductions + Expenses

Total cost = $270,000 - 5%($270,000) + 3%($270,000) + $12,650 + $92,500

Total cost = $270,000 - $13,500 + $8,100 + $12,650 + $92,500

Total cost = $370,750

Finally, we can calculate the initial markup percentage:

Initial markup percentage = (Total cost - Net sales) / Net sales x 100%

Initial markup percentage = ($370,750 - $270,000) / $270,000 x 100%

Initial markup percentage = $100,750 / $270,000 x 100%

Initial markup percentage = 37.31%

Therefore, the initial markup percentage for the children's department is 37.31%.

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The hybrid car will travel 38 miles on 7.4 gallons of gas, therefore, she will not be able to make it home.

The problem is solved applying the proportions in it's context.

A hybrid car averages 630 miles on a 122-gallon tank of gas, hence the number of miles per gallon is given as follows:

630/122 = 5.16 miles per gallon

Ramona has enough money to put 7.4 gallons of gas in her hybrid, hence the distance that she can travel is obtained as follows:

7.4 x 5.16 = 38 miles.

Hence she will not be able to make it home.

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The other solution in the given range is x = 130°

We know that tone of the solutions of the given equatio is x = -230, now, remember the definition of coterminal angles, if A and B are coterminal angles, then:

Sin(A) = Sin(B).

And the family of coterminal angles is defined as:

B = A + n*360°

Where n is integer.

So here we just need to find the next coterminal angle to -230°, so the next solution is:

x' = -230° + 360° = 130°

That is the other solution in the range -360°, 360°

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From the given information provided, the volume of air in the round house is 64.3 cubic meters.

we need to calculate the volume of cylinder:

The radius of the cylinder is half the diameter, so it's:

r = 4m / 2 = 2m

The volume of the cylinder is then:

V_cylinder = πr²h

V_cylinder = 22/7 x 2² x 2.2

V_cylinder = 30.8 cubic meters

we need to calculate the volume of cone:

The radius of the base of the cone is also 2m, so its volume can be calculated as:

V_cone = 1/3πr²h

V_cone = 1/3 x 22/7 x 2² x 4

V_cone = 33.5 cubic meters

Finally, we add the volumes of the cylinder and the cone to get the total volume of air in the round house:

V_total = V_cylinder + V_cone

V_total = 30.8 + 33.5

V_total = 64.3 cubic meters

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Answer:

the answer without a doubt it b B B

Step-by-step explanation:

Answer:

You add the sides together.

It would be 9yd + 9yd + 8yd + 12yd

Step-by-step explanation:

The system of equations must have at least one solution because the equations are linearly independent. Also, because the determinant of the coefficient matrix is not equal to zero.

In other words, there is no way to add or subtract the equations from each other to get a zero result. This means that there must be at least one solution to the system of equations. Linearly independent equations means that there is no linear combination of the equations that can equal zero.

Additionally, the determinant of a matrix is a scalar value that can be used to determine if a system of equations has a unique solution, an infinite number of solutions, or no solution. If the determinant of the coefficient matrix is not equal to zero, then the system of equations has a unique solution.

Therefore, the system of equations must have at least one solution because the equations are linearly independent and the determinant of the coefficient matrix is not equal to zero.

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To set up an integral for the area of the surface obtained by rotating the curve x = y - y², we need to use the formula for the surface area of a revolution:

S = ∫2πy√(1 + (dy/dx)²)dx

First, we need to find dy/dx:

dy/dx = 1 - 2y

Next, we need to substitute x = y - y² into the formula:

S = ∫2π(y - y²)√(1 + (1 - 2y)²)dx

Finally, we need to rearrange the equation to get y in terms of x:

y - y² = x

y² - y + x = 0

Using the quadratic formula, we can solve for y:

y = (-1 ± √(1 - 4x))/2

Now we can substitute this back into the formula for S:

S = ∫2π((-1 ± √(1 - 4x))/2)√(1 + (1 - 2((-1 ± √(1 - 4x))/2))²)dx

This is the integral that we need to set up for the area of the surface obtained by rotating the curve x = y - y². We do not need to evaluate the integral, as the question only asks us to set it up.

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"A researcher collects 25 data points that yield a mean of 8. 164 and a standard deviation (based on N – 1) of 2. 237. The standard error for the distribution of means is  0.4474.

The standard error for the distribution of means can be calculated using the formula:

standard error = standard deviation / sqrt(sample size)

Plugging in the given values, we get:

standard error = 2.237 / sqrt(25)

Simplifying, we get:

standard error = 2.237 / 5

Calculating, we get:

standard error = 0.4474 (rounded to four decimal places)

Therefore, the standard error for the distribution of means is 0.4474.

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According to the above information the solution would be choice a. y=x, x-axis, y=x, y-axis.

The total of all six interior angles in a hexagon is 720°. The formula (n-2) 180°, wherein 'n' is the numbers of sides in the polygon, is used to determine the sum of internal angles. Given that a hexagon has six sides, we can take n to be six. (6-2) divided by 180 results in 720°.

1) Choose a generic point with measurements (a,b)

2) The result is the same if you reflect it across the line y = x. (b,a)

3) The result of reflection (b,a) over the x-axis is (b,-a)

4) By applying (b,-a) to y = x, it becomes (-a,b)

5) When (-a,b) is reflected across the y-axis, it becomes (a,b)

The hexagon ABCDEF is carried onto itself by that collection of reflections since they have transferred (a,b) into a single location (a,b).

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Answer:

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The time they arrive at the destination is 9:24 am the next day

How to determine the time they arrive at the destination.

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

Time = 4 pm

Distance = 64 km

Start by calculating time taken for the father to ride the horse and son to walk the first 32 km:

Time = Distance / (Difference between rates of father and son)

Time = 32 km / (8 km/h - 3 km/h)

Time = 32 km / 5 km/h

Time = 6.4 hours

Calculate time taken for the son to ride the horse and father to walk the remaining 32 km:

Time = Distance / (Difference in Speed)

Time = 32 km / (8 km/h - 4 km/h)

Time = 32 km / 4 km/h

Time = 8 hours

So, we have

Total time = 6.4 hours + 8 hours + 3 hours break + 4 pm

Evaluate

Total time = 9:24 am the next day.

Answer:

12

Step-by-step explanation:

2/4 of 24

24÷4=6

6×2

=12

0.9

U add subtract and divide , 4.5 with 8.0 and thats how u get the exact distribution of money, pizza, candy, HEY BUSTERRRR. wyd, nothin? uhm whats the answer elon musk.

B) a study in the relationship between a college student’s major and the salary for the first year after graduation.

To compare the variations between the treatment groups, inferential statistics are frequently utilized. Inferential statistics employ data from the experiment's sample of participants to compare the treatment groups and draw conclusions about the subject population as a whole.

The study that best exemplifies inferential statistics is:

B) a study in the relationship between a college student’s major and the salary for the first year after graduation.

Inferential statistics is used to make inferences or predictions about a population based on a sample of data. This study involves examining the relationship between a college student's major and the salary they earn in the first year after graduation, which involves making inferences about the population of all college graduates based on a sample of data.

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