Examine the equation and the table, each of which represent a different linear function

Answer: 2 3/5ths are left or 13/5

Step-by-step explanation: 1 2/5 + 2 3/5 = 4 total walls

Answer:

7-(a-2)

Step-by-step explanation:

Answer:

C. 7 ft

Step-by-step explanation:

I plugged it into a calculator

(a) The predictor variable is Fall in feet and the response variable is Duration in seconds.

(b) The slope is in seconds per foot.

(c) The slope may be negative, as greater drop heights generally result in longer travel times.

(a) The predictor variable in this regression is Drop, which represents the drop height of the roller coaster, in feet, in feet. The response variable is Duration, which represents the duration of the trip, in seconds, in seconds.

(b) The units of slope in this regression are seconds per foot. This means that for each unit of increase in descent height in feet, the travel time will increase or decrease the value of the slope, measured in seconds per foot.

(c) The slope can be negative, as greater drop heights generally result in longer ride times, and the Tower of Terror roller coaster, which was exceptionally short despite its large drop height, has were removed from the analysis.

Therefore, the remaining 90 roller coasters in the dataset likely exhibit a negative relationship between drop height and time, meaning that as drop height increases, ride time decreases .

The Low R-value squared 29.4% means that the relationship between roller coaster drop and ride time in the data set is highly variable, but the negative slope indicates a general downward trend.

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The area of the shape is 32  square yards

The given consist of one rectangle and a right triangle

The area of the figure = The area of the rectangle + The area of the right triangle

The area of the rectangle = The length × The width

The length of the rectangle = 6 yards

The width of the rectangle = 4 yards

The area of the rectangle = 6×4

= 24 square yards

The area of the triangle = (1/2)bh

The base of the triangle = 9 - 5 = 4 yards

The height = 4 yards

The area = (1/2)× 4 × 4

= 8 square yards

The area of the figure = 24 + 8

= 32 square yards

Hence, the area of the shape is 32  square yards

The complete question is:

What is the area of the shape below?

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Answer:

this is given by Rishabh 3456

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

Divide 5.60 by 70 to find what percent of 70 it is:

5.60/70

= 0.08

So, this is 8% of 70

That means the sales tax rate was 8%

Answer:

The material cost for December = $356,000

Step-by-step explanation:

The manufacturing overhead is the sum of the indirect costs that come from the manufacturing process except labor and materials

Hence, whereby the cost per liter = $0.47, we have;

Total volume produced = 4.0 million liters

Manufacturing overhead = $1,435,000

Total cost = Cost per liter × Total volume produced

∴ Total cost = 4 × 10⁶ × $0.47 = $1,880,000

Hence the cost of labor + materials = Total cost - Manufacturing overhead

the cost of labor + materials = $1,880,000 - $1,435,000 = $445,000

Labor cost = 25% material cost = 0.25 × material cost

∴ 0.25 × material cost + material cost = $445,000

1.25 × material cost = $445,000

material cost = $445,000/1.25 = $356,000

Which gives labor cost = 0.25 × $356,000 = $89,000

The material cost for December = $356,000.

In response to the stated question, we may state that The rectangle with vertices A, B, C, and D is the form you just drew.

A rectangle in Euclidean geometry is a parallelogram with four small angles. It can also be defined as a fundamental rule hexagon or one with all angles equal.

A straight angle is another alternative for the parallelogram. Four vertices in a square are the same length. A quadrilateral with a rectangle-shaped cross-section has four 90° angle vertices and equal parallel sides.

€ As a result, it is also known as a "equirectangular rectangle" in some circles. A rectangle is sometimes referred to as a parallelogram, since its two sides have equal and parallel dimensions.

here's how to draw a rectangle with the vertices A(2,-2),B(2,3),C(5,3),D(5,-2):

Begin by sketching the x and y axes on graph paper and noting the origin (0,0).

Plot point A at (2,-2), B at (2,3), C at (5,3), and D at (5,3). (5,-2).

The rectangle with vertices A, B, C, and D is the form you just drew.

Here's an illustration of the rectangle:

     C (5,3)

     *

    /|

   / |

  /  |

 /   |

D (5,-2)|

 |   |

 |   |

 |   |

A (2,-2)|

 *---*---*B (2,3)

Therefore, draw a line segment between points A and B, then another between points B and C, and so on until you get a closed form.

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Answer:

three shirts an hour

Step-by-step explanation:

Answer:

1 : 4

Step-by-step explanation:

12c : 48c ( divide both parts by 12c )

= 1 : 4

Answer:

1 and 4 so it would be 1:4

The parent function and transformed function will be y = ln x and y = ln (x + 8) + 12, respectively.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

y = ln x

The function is transformed by shifting 8 units left and 12 units up. Then replace x with (x + 8) and y with (y - 12). Then we have

y - 12 = ln (x + 8)

y = ln (x + 8) + 12

The parent function and transformed function will be y = ln x and y = ln (x + 8) + 12, respectively. The graph of the function is given below.

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The amount will become zero after 400 months.

Given that, Mr. Tallchief have $400,000 in his account after his retirement,

He intends to withdraw 4,000 from the account every month after the retirement,

We need to find the equation that represents the amount in the account n months after his retirement.

So,

f(n) = 400,000 - 4000n

This equation will give the withdrawal of money each month,

Now, when the account will have no money in it,

A = 0,

0 = 400,000 - 4000n

400,000 = 4000n

n = 400

Hence, the amount will become zero after 400 months.

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Answer:

5.5 miles = 348480 inches

Step-by-step explanation:

Formula: multiply the value in miles by the conversion factor '63360'.

So, 5.5 miles = 5.5 × 63360 = 348480 inches.

Answer:

348480

Step-by-step explanation:

5.5 times 63360 = 348480

The solution of the differential equation for the given initial conditions is x = e^-2t (-1/2 cos(3t) + sin(3t))

The equation of motion of the spring-mass-damper system is given by2x'' + 8x' + 26x = 0

            where x is the displacement of the mass from its equilibrium position, x' is the velocity of the mass, and x'' is the acceleration of the mass.

The characteristic equation for this differential equation is:

                          2r² + 8r + 26 = 0

Dividing by 2 gives:r² + 4r + 13 = 0

Solving this quadratic equation, we get the roots: r = -2 ± 3i

The general solution of the differential equation is:

                    x = e^-2t (c₁ cos(3t) + c₂ sin(3t))

where c₁ and c₂ are constants determined by the initial conditions.

Using the initial conditions x(0) = -1 m and x'(0) = 2 m/s,

we get:-1 = c₁cos(0) + c₂

              sin(0) = c₁c₁ + 3c₂ = -2c₁

              sin(0) + 3c₂cos(0) = 2c₂

Solving these equations for c₁ and c₂, we get: c₁ = -1/2c₂ = 1

Substituting these values into the general solution, we get:x = e^-2t (-1/2 cos(3t) + sin(3t))

The solution of the differential equation for the given initial conditions is x = e^-2t (-1/2 cos(3t) + sin(3t))

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To find the volume of the solid obtained by revolving the region enclosed by the curve y=e^x, the x-axis, and the lines x=0 and x=1 around the x-axis, we can use the method of cylindrical shells.First, we need to find the equation of the curve y=e^x. This is an exponential function with a base of e and an exponent of x. As x varies from 0 to 1, y=e^x varies from 1 to e.

Next, we need to find the height of the cylindrical shell at a particular value of x. This is given by the difference between the y-value of the curve and the x-axis at that point. So, the height of the shell at x is e^x - 0 = e^x.
The thickness of the shell is dx, which is the width of the region we are revolving around the x-axis.
Finally, we can use the formula for the volume of a cylindrical shell:
V = 2πrh dx
where r is the distance from the x-axis to the shell (which is simply x in this case), and h is the height of the shell (which is e^x).So, the volume of the solid obtained by revolving the region enclosed by the curve y=e^x, the x-axis, and the lines x=0 and x=1 around the x-axis is given by the integral:
V = ∫ from 0 to 1 of 2πxe^x dx
We can evaluate this integral using integration by parts or substitution. The result is:
V = 2π(e - 1)
Therefore, the volume of the solid is 2π(e - 1) cubic units.

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Answer:

Youre welcome

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C) Angle d is congruent to angle e.

Step-by-step explanation:

Angle d and Angle e are alternate interior angles meaning they are congruent. The rest of the angles form supplementary angles with Angle d, therefore, making them not congruent.

A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

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The area of the field is:

A = (x + 20)y

The length of fence needed is:

x + y + x + 20

(remember that 20 ft are not needed because the building, and y ft are not needed because the river)

We have 1000 ft of fencing, then:

1000 = x + y + x + 20

1000 - 20 = 2x + y

980 = 2x + y

Isolating y from the preceding equation:

y = 980 - 2x

Substituting this into the area equation:

A = (x + 20)(980 - 2x)

Distributing:

At the maximum, the derivative of A with respect to x is zero, then:

Recalling the equation of y and substituting this result:

y = 980 - 2x

y = 980 - 2*235

y = 510

The dimensions are:

length: 255 ft (on the side without the building)

width: 510 ft

Answer:

See below

Step-by-step explanation:

Long side = x

         Other long side = x - 20

short side = y  

Area enclosed = xy

x  +   x -20   + y    = 1000    or y = 1020 -2x    <=====sub into first equation

area = x * ( 1020-2x) =  -2x^2 + 1020x  

         this is a dome shaped parabola  

           max will occur at x = -b/2a = - 1020/ (2 * -2) = 255 ft

  then y =   1020 -2x = 510 ft

(area = xy = 130 050 ft^2 )

Answer:

Step-by-step explanation:

From the figure attached,

1). Sin(D) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

               = \(\frac{EF}{DF}\)

               = \(\frac{24}{26}\)

               = \(\frac{12}{13}\)

2). Cos(D) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

                = \(\frac{ED}{DF}\)

                = \(\frac{10}{26}\)

                = \(\frac{5}{13}\)

3). tan(D) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

               = \(\frac{EF}{DE}\)

               = \(\frac{24}{10}\)

               = \(\frac{12}{5}\)

4). sin(F) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

              = \(\frac{DE}{DF}\)

              = \(\frac{10}{26}\)

              = \(\frac{5}{13}\)

5). cos(F) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

               = \(\frac{EF}{DF}\)

               = \(\frac{24}{26}\)

               = \(\frac{12}{13}\)

6). tan(F) = \(\frac{\text{Adjacent side}}{\text{Adjacent side}}\)

               = \(\frac{DE}{EF}\)

               = \(\frac{10}{24}\)

               = \(\frac{5}{12}\)

Answer:

3rd Option: ∠CAB

Step-by-step explanation:

To name an angle, you must follow the line segments accordingly.

Answer:

The angle name is CAB

Step-by-step explanation:

The name can't be B, since that's only one point of the angle. CBA is not in the order given on the picture, ABC is also not in the correct order. CAB is in the correct order. This could also be seen as BAC; even though it is "backwards" from the other correct answer, all the points are listed in order.

Answer:

(2,7), (6,-2),

Step-by-step explanation:

After finding the points you plug them in to the distance formula:

d=√((x2-x1)²+(y2-y1)²)

d=√[(6-2)²+(-2-7)²]

Answer:

y = 24

Step-by-step explanation:

We need to double the x value by 2 and when we do that we will get the y value .

12 x 2 = 24

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Answer:

y = 6

Step-by-step explanation:

Since x and y vary inversely, we have:

xy=k

For x= 5 and y = 12, we have:

⇒  5×12=k

⇒  k= 60

For x= 10, we have :

⇒  10y = 60

y = 60/10

y = 6

[RevyBreeze]

Answer: I think it is 8

Step-by-step explanation: Since the tree in the garden is a 24 foot shadow, you divide by the 6 foot shadow and get 4

then 4 * 4 = 16

16 / 2 = 8

So i think its 8

Answer:

(2x+3)^2 = 16/25

(2x+3) = √(16/25)

2x+3 = 4/5

2x = 4/5 - 3

x = -1 .1

Answer:

E. not enough info given

Step-by-step explanation:

If you were talking about the median, it is 50%

Answer:

4. 84 chickens

5. 36

Answer:

4: A=½bh

A=½(18)(14)

A=½(252

A=125m²

126÷3= 42

42 chickens

5: A=½h(a+b)

A=½(3)(4+3)

A=½(3)(7)

A=½(21)

A=10.5m²