What is the slope of the line containing the points (3,4) and (-6,10)

Answer:

Shown in the picture

Step-by-step explanation:

A:

Set the value of x to "5" and "30" to find the corresponding values of y (i.e. the altitudes of the plane at 5 or 30 minutes after beginning descent).

B:

Use the the same method to determine the set of coordinates (/ordered pairs) at each of the values for x given in part B of the question.

C:

The initial value is simply the starting value of y, or in other words, the altitude at which the plane begins to descend in this context;

So it will be 0 mins after the beginning of descent of the plane, i.e. when x = 0, therefore the answer is (0, 28000) as an ordered pair or simply 28000 ft.

D:

Rate of change is a fancy or more technical way of referring to the gradient of a function;

In this case of the context of a plane descending, it refers to the change in altitude over time;

This can be calculated using any two ordered pairs (or coordinates as I call them) using the formula of the difference in the y values divided by the difference in the x values.

Missing value is Decreased by 20%

Step-by-step explanation:

We need to find the missing term.

As we can see from the figure we go from Decreased 10% and then decreased 10% to reach the final goal.

If we directly go from starting point to end point the total will be decreased by 20% as (10%+10%= 20%)

So, Missing value is Decreased by 20%

Answer:

The system has infinite solutions

Is a consistent dependent system

Step-by-step explanation:

we have

First equation

[tex]\frac{1}{2}x-\frac{1}{3}y=5[/tex]

Isolate the variable y

[tex]\frac{1}{3}y=\frac{1}{2}x-5[/tex]

Multiply by 3 both sides

[tex]y=\frac{3}{2}x-15[/tex] ----> equation A

Second equation

[tex]x=\frac{2}{3}y+10[/tex] -

Isolate the variable y

[tex]\frac{2}{3}y=x-10[/tex]

Multiply by 3/2 both sides

[tex]y=\frac{3}{2}x-15[/tex] ---> equation B

Compare equation A and equation B

The equations are identical

therefore

The system has infinite solutions

Is a consistent dependent system

Answer:

-2

Step-by-step explanation:

Answer:

25Ncm^2

Step-by-step explanation:

Pressure = force/area

Force = 2000N

Area = 80cm^2

Therefore,

Pressure = 2000/80

= 25Ncm^2

Answer:

34+22=56+16=72 100-72=28 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

A square is equal on each side. There are a total of 4 sides so we would take 320 and divide it by four to find the size of one side.

320/4

80

A = lw

A = 80 x 80

A = 6400 m^2

Answer:

x=-12

Step-by-step explanation:

2-3/4x=11

3/4x=2-11

3/4x=-9

x=-9/(3/4)

x=(-9/1)(4/3)

x=-36/3

x=-12

Answer:

Step-by-step explanation:

(17 1/2) / (5/6) =

(35/2) / (5/6) =

35/2 * 6/5 =

105/5 =

21 <===

Answer:

14

Explanation:

2  l     7

4  l    14

6  l   21

8  l   28

10 l  35

12 l  42

14 l  49

If you noticed the italized, bold, and underlined number fourteen, you would notice that 2 and 7 both have number fourteen as a multiple and it is also the least common multiple.

Answer:

The answer is [6 18}

Step-by-step explanation:

I just took the test :)

The product of the matrices [4 2] and [-2 5 7 -1] is a 1x4 matrix. The resulting matrix is [-8 -4 20 10].

In order to find the product of two matrices, we need to ensure that the number of columns in the first matrix matches the number of rows in the second matrix. The first matrix, [4 2], has 1 row and 2 columns (1x2), while the second matrix, [-2 5 7 -1], has 2 rows and 4 columns (2x4). Since the number of columns in the first matrix matches the number of rows in the second matrix, we can proceed with matrix multiplication.

To compute the product, we perform the following steps:

Step 1: Take the first row of the first matrix and multiply each element by the corresponding element in the first column of the second matrix.  

- First element: 4 * (-2) = -8  

- Second element: 2 * (-2) = -4

Step 2: Take the first row of the first matrix and multiply each element by the corresponding element in the second column of the second matrix.  

- Third element: 4 * 5 = 20  

- Fourth element: 2 * 5 = 10

Step 3: Now, we have the elements for the first row of the resulting matrix: [-8 -4 20 10].

Step 4: Repeat the above steps for the second row of the first matrix.

Step 5: Combine the results to form the final product matrix: [-8 -4 20 10].

So, the product of the matrices [4 2] and [-2 5 7 -1] is the 1x4 matrix

[-8 -4 20 10].

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Answer:

1

Step-by-step explanation:

x=14  and y=109

Step-by-step explanation:

Given

y= 5x +39

y= 3.5x +60

5x+39 = 3.5 x+60

5x-3.5x = 60-39

1.5x =21

x= 21/1.5 = 14

Use the value of x = 14 in equation  y=5x+39

y=5*14 +39

y=109

Hence, x=14  and y=109

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Final answer:

To solve the given system of linear equations, we use the elimination method to find the intersection point (14, 109), which is where the two lines represented by the equations meet.

Explanation:

To solve the system of equations:

y = 5x + 39

y = 3.5x + 60

We can use the method of substitution or elimination. In this case, elimination is the straight-forward choice. Since both equations are already solved for y, set them equal to each other and solve for x:

5x + 39 = 3.5x + 60

Now, subtract 3.5x from both sides:

1.5x + 39 = 60

Subtract 39 from both sides:

1.5x = 21

Divide both sides by 1.5:

x = 14

Now, plug the value of x into one of the original equations to solve for y:

y = 5(14) + 39

y = 70 + 39

y = 109

The solution to the system is (14, 109). This represents the point where the two lines intersect on a graph.

Answer:

Length of the ladder used by worker = 17 feet

Step-by-step explanation:

Given:

Height of the window from the ground = 13 ft

Distance of fence from the building = 3 ft

Distance of ladder from the building = (3+8) = 11 ft

We have to find the length of the ladder.

Let the length of the ladder be 'x'

From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.

Using Pythagoras formula:

⇒ [tex]hypotenuse\ 'x' =\sqrt{(perpendicular)^2+(base)^2}[/tex]

Here base length = 11 ft

Perpendicular = 13 ft

Plugging the values:

⇒ [tex]x=\sqrt{(13)^2+(11)^2}[/tex]

⇒  [tex]x=\sqrt{(169+121)}[/tex]

⇒ [tex]x= \sqrt{290}[/tex]

⇒ [tex]x=17.02[/tex] feet

The length of the ladder = 17 feet to its nearest tenth.

The worker will need a ladder that is approximately 8.5 feet long. This calculation is based on the Pythagorean theorem, considering the ladder's placement 8 feet from the fence and the need to reach a window 13 feet above the ground.

To find the length of the ladder the worker needs, we can use the Pythagorean theorem, as the ladder, the distance from the building, and the distance from the fence form a right triangle.

Let:

L be the length of the ladder.

D be the distance from the building to where the ladder rests (8 ft).

F be the distance from the fence to where the ladder rests (3 ft).

According to the Pythagorean theorem, we have:

[tex]L^2 = D^2 + F^2[/tex]

Substitute the known values:

[tex]L^2 = 8^2 + 3^2[/tex]

[tex]L^2 = 64 + 9[/tex]

[tex]L^2 = 73[/tex]

Now, take the square root of both sides:

L ≈ √73 ≈ 8.54 ft (rounded to the nearest tenth)

So, the worker will need a ladder that is approximately 8.5 feet long to safely reach the window 13 feet above the ground when placed 8 feet from the fence for stability.

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Answer:

x=14

Step-by-step explanation:

not sure what your asking for???

x-5=9

x=14

Answer:

  $1299.50

Step-by-step explanation:

It appears that the graph shows the percentage of market value of a 6-year-old car is about 10%. So the value of such a car with an original value of $12,995 would be ...

  $12,995 × 0.10 = $1299.50

The current market value is $1299.50.

The current market value of the car is $1299.50

The original cost is given as:

Original = $12,995.

From the graph, the worth of the car after 6 years is

Rate = 10%

So, the current market value of the car is:

Value = $12,995 * 10%

Evaluate the product

Value = $1299.50

Hence, the current market value of the car is $1299.50

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Answer:

810 cubes

Step-by-step explanation:

step 1

Find the volume of the rectangular prism

The volume of the rectangular prism is

[tex]V=LWH[/tex]

we have

[tex]L=2\frac{1}{2}\ in=2+\frac{1}{2}=\frac{5}{2}\ in[/tex]

[tex]W=2\ in\\H=6\ in[/tex]

substitute

[tex]V=(\frac{5}{2})(2)(6)[/tex]

[tex]V=30\ in^3[/tex]

step 2

Find the volume of the cube

The volume of the cube is

[tex]V=b^3[/tex]

where

b is the length side of the cube

we have

[tex]b=\frac{1}{3}\ in[/tex]

substitute

[tex]V=(\frac{1}{3})^3[/tex]

[tex]V=\frac{1}{27}\ in^3[/tex]

step 3

Find out how many unit cubes with edge lengths of 1/3 inch can fit inside the prism

Divide the volume of the prism by the volume of the cube

[tex]30:\frac{1}{27}=30(27)=810\ cubes[/tex]

Answer:

  The equation has a greater constant of variation

Step-by-step explanation:

The graph is of a line through point (0, 0) can be represented by the equation ...

   y = kx

Using the given values for x and y, we see that ...

  3 = k·1

  k = 3 . . . . . the constant of variation for the graph

__

The given fraction can be rewritten as ...

  y = (10/3)x = (3 1/3)x

In this form, the constant of variation is 3 1/3, greater than that of the graph.

Answer:

The equation has a greater constant of variation

Step-by-step explanation:The equation has a greater constant of variation

Answer:

79716.98

Step-by-step explanation:

Woahhhhhh numbers

Step-by-step explanation:

I don’t know.

Answer:

1.067

Step-by-step explanation:

Answer:

The territorial dispute over Taiwan originated in 1949 when the Chinese people fled to Taiwan due to the complete control of Communists in Mainland China.

Explanation:

The event happened after the "Chinese Civil War," a war between the Kuomintang and the Communist Party of China (CPR). This resulted to many Chinese people fleeing from Southern China to Taiwan in order to prevent the advances of the Communist Party. This was also a sign of retreat from the war.

Moving to Taiwan from China took 4 months and this was meant to be a temporary solution rather than being permanent. However, the plan could not be realized thus, resulting to many Chinese people living in Taiwan until today.

So, this led to the controversial issue that Taiwan is, somehow, part of China. In connection with this, territorial disputes arose whether Taiwan should be unified with Mainland China.

Lets first make it easier.

If you add the 20 minutes to 12:50 it will turn to 1:10.

After this you add the 5 hours.

This will turn 1:10 into 6:10.

Hope this helps :)

Answer:

40% decrease

Step-by-step explanation:

6.5*40%=2.6

6.5-2.6=3.9

Answer:

40%

Step-by-step explanation:

Original Mass of the pumpkin = 6.5kg

After carving, the mass of the pumpkin became = 3.9 kg

Decrease in mass = 6.5 — 3.9 = 2.6kg

Therefore, the percentage decrease in mass of the pumpkin = (2.6/6.5)x100 = 40%

Answer:

Distance in meters D = 167.75 meters

Step-by-step explanation:

Distance covered in 5 seconds is given by:

Distance, D = Speed (S) X Time (T)

Where,

Distance = ?

Speed = 75mph

Time = 5s

Since we are calculating distance in meters, we have to convert 75miles per hour to meters per second

75mph = 75miles/1hr X 1km/0.621miles X 1000m/1km X 1hr/60mins X 1min/60s

            = (75X1000) / (0.621X60X60) meter per second

            = 75000/2235.6 meter per second

            = 33.55 meter per second

∴ Distance D = 33.55 meter per second X 5 seconds

                      = 167.75 meters

Answer:

First add 0.2 to both sides

x = 0.53

Step-by-step explanation:

4x - 0.2 = 1.9

4x - 0.2 + 0.2 = 1.9 + 0.2

4x = 2.1

Divide both sides by 4

4x/4 = 2.1/4

x =0.53

Answer:

4

Step-by-step explanation:

The first digit after the decimal point is the tenths place. in this case, it would be 4

Answer:

4 Is in the tenths place

Step-by-step explanation:

7 in the hundreds

2 in the tens

9 in the ones

4 in the tenths

6 in the hundredths

Final answer:

By calculating and comparing the price per pound of meat for each shopper, it is clear that they paid different prices per pound ($3.29 and $4.19), indicating they did not buy the same kind of meat.

Explanation:

To determine if both shoppers bought the same kind of meat, we need to calculate the price per pound that each shopper paid and compare the results. The first shopper bought 3 pounds for $9.87. To find the price per pound, we divide $9.87 by 3 pounds, which gives us $3.29 per pound.

The second shopper bought 4 pounds for $16.76. Similarly, we divide $16.76 by 4 pounds to get $4.19 per pound. Since the price per pound for each shopper is different, we can deduce that they did not buy the same kind of meat.

Answer:

p>3

Step-by-step explanation:

<=> 3p - 9 - 5p > -3p - 6

<=> -2p + 3p > -6 + 9

<=> p > 3

To solve the inequality 3(p-3) - 5p > -3p - 6:

Simplify and combine like terms to get p > 3 as the solution.

An inequality is a mathematical statement that uses the inequality symbol to indicate the relationship between two expressions. Both sides of an inequality sign have different expressions.

The given expression is:

3(p-3) – 5p>-3p- 6

Distribute the 3 to the terms inside the parentheses:

3p - 9 - 5p > -3p - 6

Combine like terms on both sides of the inequality:

-2p - 9 > -3p - 6

Move all the terms containing p to one side by adding 3p to both sides: -2p + 3p - 9 > -6

Simplify:

p - 9 > -6

Move the constant term to the other side by adding 9 to both sides:

p - 9 + 9 > -6 + 9

Simplify: p > 3

Hence,

The solution of the given inequality is p > 3.

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Solution:

Given that,

Kate wants to build a fence around her garden to prevent her rabbits from eating her vegetables

Given is a square garden

Area = 144 square meter

[tex]Area = (side)^2\\\\144 = (side)^2\\\\Take\ square\ root\ on\ both\ sides\\\\side = 12[/tex]

Thus length of side of square is 12 meter

Perimeter = 4(side)

Perimeter = 4(12)

Perimeter = 48 meter

[tex]Cost = perimeter \times 7.50\\\\Cost = 48 \times 7.50\\\\Cost = 360[/tex]

Thus it costs $ 360 to enclose a square garden with an area of 144 square meter