The x-coordinate of point P is positive, and the y-coordinate of point P is negative. In which quadrant is point P?

Answer:

Step-by-step explanation:

[tex]a_{nm}\to n-\text{number of row},\ m-\text{number of column}\\\\b_{21}\to 2^{rd}\ row,\ 1^{st}\ column\\\\B=\left[\begin{array}{cccc}-1&2&5&0\\\boxed{-5}&0&9&7\\9&12&8&-1\\8&-5&0&6\end{array}\right]\begin{array}{ccc}\leftarrow\ 2^{rd}\ row\\\\\end{array}\\.\qquad\ \ \ \ \uparrow\\.\ \ \ \ \ 1^{st}\ column[/tex]

The matrix element b21 in matrix B is -5, which represents the value located in the 2nd row and 1st column of the matrix.

In matrix notation, a matrix is represented by enclosing its elements in square brackets. The elements of the matrix are arranged in rows and columns.

In matrix notation, "b21" represents the element in the 2nd row and 1st column of a matrix. It is the entry located at the intersection of the 2nd row and 1st column.

To identify the element b21, we look at the value in the 2nd row and 1st column of matrix B. In this case, the element b21 is -5.

This means that the value in the 2nd row and 1st column of matrix B is -5.

To know more about matrix:

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Answer:

C 13,7,1

Step-by-step explanation:

The given expression is [tex]y=-3x+7[/tex].

To find the corresponding y-values, we need to plug in the x-values.

When x=-2, [tex]y=-3(-2)+7[/tex],  [tex]\implies y=6+7=13[/tex]

When x=0, [tex]y=-3(0)+7[/tex],  [tex]\implies y=0+7=7[/tex]

When x=2, [tex]y=-3(2)+7[/tex],  [tex]\implies y=-6+7=1[/tex]

Therefore the numbers that completes the table are: 13,7,1

The correct answer is C

Step-by-step explanation:

2x-3y=-15. ----(1)

where, x=4y

Substituting the value of 'x' in equation (1) we'll get:

2(4y)-3y=-15

8y-3y=-15

5y=-15

y= -3

[tex]<marquee>Thanks ⚡[/tex]

Answer:

I believe the answer is -3

because I plugged in 4y for X

B. 6

C. 4

D. 7

E. 1

F. 2

G. 6

Hope this helps :)

It took me a min to understand how they were doing the numbers corresponding to the letters lol

Answer with explanation:

a → 3

b → 5

c→ 4

d →7

e→ 1

f→2

g→6

Answer:

[tex]5y=24x[/tex]

Step-by-step explanation:

The question in English is

If 4x= 5/6y then 5y=

we have

[tex]4x=\frac{5}{6}y[/tex]

Solve for 5y

Multiply both sides by 6

[tex]6*4x=(6)*\frac{5}{6}y[/tex]

Simplify

[tex]24x=5y[/tex]

Rewrite

[tex]5y=24x[/tex]

B 22

11+11=22

AC is the chord

Answer:

B. 22 units.

Step-by-step explanation:

A perpendicular dropped from center to a chord bisects the chord.

In the given figure O is the center of the circle .OB is a perpendicular dropped from center of circle to the chord AC and hence it bisects the chord .

AB=BC= 11 units .

By addition of line segments :

Length of chord AC =  AB+BC =11+11 = 22 units.

okay so you should know that the formula for a triangle is:

A=1/2×b×h

where b is breadth and h is height

A is area

so they already gave the area which is 16.2 and they already gave a side ( doesn't matter if it's b or h in this question)

so we put these into the equation of the area of a triangle

A=1/2×b×h

16.2=1/2 × 6 × h

then you will solve algebraically to get 5.4cm which is you answer

to check if correct you can always put in all numbers in equation and you should get 16.2cm

In this case it's correct ✌

Answer:

AC = 5.4 cm

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here AC is the base (b) and AB the height (h), thus

[tex]\frac{1}{2}[/tex] × AC × 6 = 16.2

3AC = 16.2 ( divide both sides by 3 )

AC = 5.4 cm

Answer:

Region A is the region represents the graph of the feasible region

for the given constraints

Step-by-step explanation:

* Lets look to the graph to answer the question

# y ≥ 2x represented by the orange line

∵ The sign of inequality is greater than, then the shaded part will

   be over the line

∴ The solution is in A region

# x + y ≤ 14 represented by the purple line

∵ The sign of inequality is smaller than, then the shaded part will

   be under the line

∴ The solution is in A or B or C regions

# y ≥ 1 represented by the pink line

∵ The sign of inequality is greater than, then the shaded part will

   be over the line

∴ The solution is in A or B or C regions

# 5x + y ≥ 14 represented by the blue line

∵ The sign of inequality is greater than, then the shaded part will

   be over the line

∴ The solution is in A or B or C regions

# x + y ≥ 9 represented by the green line

∵ The sign of inequality is greater than, then the shaded part will

   be over the line

∴ The solution is in A or B regions

* From all above The common region in the five inequalities is A

∴ Region A is the region represents the graph of the feasible region

  for the given constraints

Answer:

A. Region A

Step-by-step explanation:

Answer: (-1,3,1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]-7-i\\\\\text{complex conjugate:}\ -7+i\\\\(-7-i)(-7+i)\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=(-7)^2-(i)^2\qquad\ i=\sqrt{-1}\to i^2=-1\\\\=49-(-1)\\\\=49+1\\\\=50[/tex]

Answer:

Liberty Hill

Step-by-step explanation:

It rises the most over the same horizontal distance

Answer:

Liberty Hill. For every 4 feet at a horizontal distance, it rises 3 ft at the vertical rise of the street.

Step-by-step explanation:

Looking at the data, we can trace a parallel to the Cartesian Plane. As the Horizontal Distance would be the x-axis and the Vertical Axis, y-axis. So to determine the steepest hill we need to check the slope.

Like this:

Reference point (0,0)

Dixie Hill

[tex]m=\frac{40-0}{80-0}=\frac{1}{2}[/tex]

Bell Hill

[tex]m=\frac{20-0}{80-0} =\frac{20}{80}=\frac{1}{8}[/tex]

Liberty Hill

[tex]m=\frac{60-0}{80-0} =\frac{60}{80}=\frac{3}{4}[/tex]

The base Liberty Hill makes the largest angle, therefore the steepest hill.

For every 4 feet at a horizontal distance, it rises 3 ft at the vertical rise of the street.

[tex]\bf (\stackrel{\stackrel{r}{\downarrow }}{-2}~~,~~\stackrel{\stackrel{\theta }{\downarrow }}{2\pi })\qquad \begin{cases} x=&rcos(\theta )\\ &(-2)cos(2\pi )\\ &(-2)(1)\\ &-2 \\\cline{1-2} y=&rsin(\theta )\\ &(-2)sin(2\pi )\\ &(-2)(0)\\ &0 \end{cases}\qquad \implies \qquad (\stackrel{x}{-2}~,~\stackrel{y}{0})[/tex]

Answer:

y = rsen (θ)

So for r = -2 and θ = 2π we have

x = -2cos (2π)

x = -2

y = -2sen (2π)

y = 0

Finally the equivalent point in Cartesian coordinates is the point:

(-2 0)

Step-by-step explanation:

Company C and Company D both manufacture batteries having the greatest variation in lifespan, which is an 8 month variation. This was determined by calculating the range of each data set.

The variation in lifespan for each company's laptop battery can be determined by looking at the range of the data, which is found by subtracting the smallest value (minimum) from the largest value (maximum). So we have:

As we can see, Company C and Company D both have the greatest variation in lifespan of their laptop batteries, with a range of 8 months.

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Answer:

D

Step-by-step explanation:

Any statement claiming <1 and <2 = 90 is incorrect.

So the answer must be one of B or D

D is a bit incomplete, but it is your best answer. The next step would be to subtract <2 from both sides.

the answer is D , it makes the most sense for this problem

Answer:

Step-by-step explanation:

Answer:

The correct answer is R0, 270°

Answer:

do 49 x 49 which equals 2,401 then check it

put 2,401 square root which equals 49

[tex]\text{Hey there!}[/tex]

[tex]\text{49}=\sqrt{\text{x}}\\\\\text{Reverse the equation:}\sqrt{\text{x}}=49[/tex]

[tex]\text{After you reverse the equation put the square root on each of your sides!}[/tex]

[tex]\text{In order for you to find the outcome (your result) put 49 to the power of 2 (49)}^2[/tex]

[tex]\text{Your equation becomes:x = 49}^2[/tex]

[tex]\text{49}^2\text{= 49}\times49 =2,401[/tex]

[tex]\boxed{\boxed{\bf{Thus, your\ answer\ is: 2,401}}}[/tex] [tex]\checkmark[/tex]

[tex]\text{Note: there's many ways that you could solve for these type of problems but}[/tex] [tex]\text{steps are basic for better understanding the particular equation!}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

33 hours is the answe

Answer:

so appx, 33 and a half hours per week

Step-by-step explanation:

366/11= 33.27

Answer: Third option.

Step-by-step explanation:

We know that the sine function is:

[tex]f(x)=Asin(bx)[/tex]

Where "A" is the amplitude of the function( This is half the vertical distance between minimum value and maximum value of the function) and [tex]\frac{2\pi }{b}[/tex] is the period.

Observe in the graph that the amplitude is:

[tex]A=1[/tex]

And the period is 1, then "b" is:

[tex]1=\frac{2\pi }{b}\\\\b=\frac{2\pi }{1}\\\\b=2\pi[/tex]

Then the function shown in the graph is:

[tex]f(x)=sin(2\pi x)[/tex]

By definition in the transformation of the function:

When [tex]kf(x)[/tex] and [tex]k>1[/tex] then the function is stretched vertically by a factor of "k".

In this case we know that the function shown in the graph is vertically stretched by a factor of 2 to produce a new graph. Then:

[tex]k=2[/tex]

Therefore,the function that represents the new graph is:

[tex]f(x)=2sin(2\pi x)[/tex]

Answer:

It is 5 miles difference . GOOD JOB!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

Yes, the distance is 5 miles

Step-by-step explanation:

Since the y-coordinates are the same, we can ignore the y-distance and treat the total distance like a number line.

So, the distance is |9 - 4| = 5 units

Since each unit is a mile, that translates the distance to 5 miles.

Answer:

The absolute vale of x in equation 2 is greater than the absolute value of x in equation 1

Step-by-step explanation:

Equation 1

|5x + 6| = 41.......................finding the absolute value of x

5x+6=41

5x=41-6

5x=35........................divide by 5 both sides

x=35/5= 7

|x|=7

Equation 2

|2x + 13| = 28........................find the absolute value of x

2x+13=28

2x=28-13

2x=15........................................divide by 2 both sides

x=15/2 =7.5

|x|=7.5

Conclusion

The absolute vale of x in equation 2 is greater than the absolute value of x in equation 1

Answer:

Solution of inequality 1:

[tex]x \in [\frac{-47}{5}, 7][/tex]

Solution of Inequality 2:

[tex]x \in [\frac{-41}{2}, \frac{15}{2}][/tex]

Step-by-step explanation:

We are given two inequalities:

Inequality 1

[tex]\mid 5x + 6 \mid = 41\\-41 \leq 5x + 6 \leq 41\\-47 \leq 5x \leq 35\\\frac{-47}{5} \leq x \leq 7\\x \in [\frac{-47}{5}, 7][/tex]

Inequality 2

[tex]\mid 2x + 13 \mid = 28\\-28 \leq 2x +13 \leq 28\\-41 \leq 2x \leq 15\\\frac{-41}{2} \leq x \leq \frac{15}{2}\\x \in [\frac{-41}{2}, \frac{15}{2}][/tex]

Solution of inequality 1:

[tex]x \in [\frac{-47}{5}, 7][/tex]

Solution of Inequality 2:

[tex]x \in [\frac{-41}{2}, \frac{15}{2}][/tex]

Answer:

See explanation

Step-by-step explanation:

If

[tex]f(x)=-x^2 +3x+5[/tex]

and

[tex]g(x)=x^2 +2,[/tex]

then

[tex](f+g)(x)=-x^2+3x+5+x^2+2=3x+7[/tex]

This is the linear function. To plot the graph of this function, find x- and y- intercepts:

x-intercept:

[tex]y=0\Rightarrow 3x+7=0\\ \\3x=-7\\ \\x=-\dfrac{7}{3}[/tex]

y-intercept:

[tex]x=0\Rightarrow y=3\cdot 0+7\\ \\y=7[/tex]

Plot these two points on the coordinate plane and connect them with a straight line.

Answer:

[tex]\frac{1}{3}(base area)(height)[/tex]

Step-by-step explanation:

Hi!

For the Pyramid´s volume equation is referred to one third of the area base multiply for the height of the pyramid. Take into account that the base area just going to change for the kind of base you will have into the pyramid, for example if the base is rectangular you have to use the equation a for it while for a triangular base you have to use equation b

Equation a

base X height

Equation b    

base X (height)/2

ANSWER: THE SOLUTION OF GIVEN INEQUALITIES IS ALL REAL NUMBER EXCEPT [1.167,3.5].

Answer:

Sample Response: When solving the first inequality, you get x > 3.5. When solving the second inequality, you get x < 3.5. The solution of an "or” compound in equality is everything in both solution sets, so the solution set is all of the numbers less than 3.5 and greater than 3.5. Since neither of the inequalities includes 3.5, the compound inequality has a solution of all real numbers except 3.5.

Step-by-step explanation:

Answer:

[tex]30 < \frac{1}{2}x[/tex]

Step-by-step explanation:

we know that

The algebraic expression of the phrase " thirty less than one half the value of x" is equal to

[tex]30 < \frac{1}{2}x[/tex]

solve for x

Multiply by 2 both sides

[tex]2*30 < x[/tex]

[tex]60 < x[/tex]

Rewrite

[tex]x > 60[/tex]

The solution is the interval ----> (60,∞)

All real numbers greater than 60

The phrase 'thirty less than one half the value of x' can be interpreted as a mathematical statement and translated into the algebraic equation 0.5x - 30.

The question 'thirty less than one half the value of x' asks us to express a mathematical concept in an algebraic equation. We can do this by firstly taking half the value of x, represented as 0.5x. Following the phrase 'thirty less than', we subtract 30 from this half-value of x, giving the equation "0.5x - 30". So, when someone says 'thirty less than one half the value of x', they are referring to this mathematical equation.

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Answer:

In two similar geometric figures, the ratio of their corresponding sides is called the scale factor. To find the scale factor, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to find the scale factor from one figure to the other

Step-by-step explanation:

Answer:

key features are the slopes of both linear functions, if they are not equal then the two linear  functions will be intercepted

Step-by-step explanation:

Any linear function can be represented by the following linear equation:

y=mx+b

where m is the slope of function

and y in the intercept

Given:

The SneakerRama Company makes and sells sneakers.

They have one linear function that represents the cost of producing sneakers

Let it be represented by y₁=m₁x+b₁

and another linear function that models how much income they get from those sneakers

Let it be represented by y₂=m₂x+b₂

Now if m₁≠m₂

then the two functions will intercept at some point on the graph at some value of x. At that point the cost of producing sneakers will be equal to income they get from those sneakers.

y₂-y₁=0

This point is called the break-even point and the profit is zero at this point !

Answer:

A. 30cm

Step-by-step explanation:

You would need to use the Pythagorean Theorem to find the answer. The theorem is a^2+b^2=c^2.

A and B represent the legs and C represents the hypotenuse.

Now substitute the values: 18^2+24^2=c^2

Calculate the exponents: 324+576=c^2

Now add: 900=c^2

Find the square root of 900: 30

So, the length of the hypotenuse is 30cm.

Let X= Cost of pears Let Y= Cost of peaches.

Solve question using a system of equations.

5X + 6Y = 11.20

3X = 2Y

Simplify the second equation to solve for Y.

3X = 2Y

Y = 1.5X

Substitute Y into the first equation.

5X + 6(1.5X) = 11.20

Simplify.

14X = 11.20

Solve for X:

X = 0.8

Substitute the value into one of the equations.

3X = 2Y

3(0.8) = 2Y

2.4 = 2Y

Y = 1.2

Each pear is $0.80 and each peach is $1.20.

Hope this helps!

Answer:

its 8 i just finished the test

Step-by-step explanation:

Answer:

600 blue spruce trees

Step-by-step explanation:

Let

x-----> the total number of blue spruce trees in the forest

using proportion

36/3=x/50

x=50*36/3

x=600 blue spruce trees