If the graph of a rational function R has the horizontal asymptote y = 2, the degree of the numerator of R equals the degree of the denominator of R. True or False

Answer:

x=27

Step-by-step explanation:

So let's look at the ratio

3:9

x:81

x is proportional to 3 the same way that 81 is to 9

How would we get 9 to 81?

We would multiply by 9

So what is 3*9?

27

Answer:

9.110° and y are the same(alternate angles)

thus y=110°. 110+x=180(seplementary angles). thus x=180-110=70°

z(alternate)=70°

10.y=78°. x=(180-78)=102°. z=102°

11.x=83°. y=(180-83)=97°. z=97°

12.y=37°. x=(180-37)=143. z=143°

to confirm the answers all angles in a circle at the centre add up to 360°

Answer:

250 dimes

Step-by-step explanation:

Answer: 63 square units

Step-by-step explanation:

Area of a parellelogram = b x h

7 x 9 = 63 square units

Answer:

63

The triangle can be moved to the other side making the parallelogram a rectangle with a length and width of 7 and 9

7 x 9 = 63

Step-by-step explanation:

Answer:

The average velocity for the skier is exactly 60 meters per second.

Step-by-step explanation:

Divide the distance which is 750 meters and 12.5 seconds and you get 60 meters per second. Velocity formula --> 750 meters / 12.5 seconds = 60 m/seconds.

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Answer: y=-(3x-2)= -3x+2

The intercept with y is 2

The intercept with x is 2/3

Answer:

The exponent in "8n^5" is 5. We already know that the base is 8 and the variable is n, so that leaves the exponent to be 5. Hope this helps! Good luck on your assignment! (Brainliest would be appreciated if possible)

Answer:

N=0

Step-by-step explanation:

If we wanted to answer the question mathematically, we could solve like so:

17n=0.5n

17n-0.5n=0.5n-0.5n

16.5n=0

n=0

Answer:

Equation: 15t

Solution: 105

Step-by-step explanation:

You multiply 15 and 7 to get your solution.

Answer:

Step-by-step explanation:

DB=√(y²-25)

again DB=√(x²-36)

so √(y²-25)=√(x²-36)

squaring

y²-25=x²-36

x²=y²-25+36

or x²=y²+11

also x²+y²=(6+5)²

x²+y²=121

y²+11+y²=121

2y²=121-11

2y²=110

y²=110/2=55

y=√55

Answer:

The Surface Area = 2 B + p h. So True

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

So split it into two shapes. Two rectangles.

Rectangle 1 = 4 * 5 = 20

Rectangle 2 = 2 * 10 = 20

20 + 20 = 40

Answer:

40 square feet

Step-by-step explanation:

we can cut the carpeted space into 2 parts for easier calculation.

we can do 4 x 5 to find the first part, which equals to 20 square feet.

then, to find the side length of the left over rectangle, you can do 6 - 4, making it the length of the side length, which is 2. then all you must do is multiply 2 by 10, which also equals to 20 square feet.

Just add up both of the calculations(20 +20) then you'll get your answer!

the answer is 40 square feet.

Hope this helps and you understand now!

Answer:

the answer is A

Step-by-step explanation:

a rational function is a ratio of two polynomial that has a denominator and numerator and can not be zero

Answer:

1.785 cm / min

Step-by-step explanation:

We have to the following equation:

V = A * L

The volume is equal to the area times the length, now, if we derive with respect to time we have:

dV / dt = dA / dt * L

Now, the area of a trapezoid is:

A = (Upper base + Lower base) / 2 * height

Now we have:

Upper base = 40 + h

Lower base = 40

Replacing we have:

A = (40 + h + 40) / 2 * h

A = (h ^ 2) / 2 + 40 * h

Now, we derive and we are left:

dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt

dA / dt = (h + 40) * dh / dt

we replace dA / dt:

dV / dt = [(h + 40) * dh / dt] * L

We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:

dV / dt = 10 ^ 5 cm ^ 3 / min

in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm

we replace everything and we have:

10 ^ 5 = 800 * (30 +40) * dh / dt

dh / dt = 10 ^ 5/56000

dh / dt = 1.785 cm / min

The simplest polynomial expression is

-26x^2+56x-15

Answer: -26x^2 + 56x -15

Step-by-step explanation:

3x(-2x + 7) - 5(x -1) (4x -3)

-6x^2 + 21x - (5x + 5)(4x-3)

-6x^2 + 21x -20x^2 +15x + 20x -15

= -26x^2 + 56x -15

Answer:

[tex]400\pi m^2[/tex]

Step-by-step explanation:

If the diameter is 40, the radius is 20.

The area is 400π

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex]2x-18=-2y+12[/tex]

[tex]y=12[/tex]

[tex]2x-18=-2(12)+12[/tex]

[tex]2x-18=-24+12[/tex]

[tex]2x-18=-12[/tex]

[tex]2x-18+18=-12+18[/tex]

[tex]2x=6[/tex]

[tex]\frac{2x}{2} =\frac{6}{2}[/tex]

[tex]x=3[/tex]

Answer:

x = 3

Step-by-step explanation:

=> 2x-18 = -2y+12

Given that y = 12

Putting in the above equation to get the value of x

=> 2x-18 = -2(12)+12

=> 2x-18 = -24+12

=> 2x-18 = -12

Adding 18 to both sides

=> 2x = -12+18

=> 2x = 6

Dividing both sides by 2

=> x = 3

Answer:

Step-by-step explanation:

the two given lines are parallel.

Hence they do not intersect.

or they have no solution.

Answer:

t = 5 sec

Step-by-step explanation:

h = - 16t² + 32t + 240

On the ground h = 0.

- 16t² + 32t + 240 = 0 / : (- 16)

t² - 2t - 15 = 0

(t-5)(t+3) = 0

t = 5, t = - 3

Time can be only positive, so t = 5 sec

For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

Box and wishkers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The minimum and the maximum values in the box plot is plotted at the end points.

The following set of data which i s given in the problem.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

The minimum value in the given data is 3. Thus, the min is 3.

First quartile appears at 6. Thus, the value of Q1 is 6.

The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.

Second quartile appears at 14.5. Thus, the value of  second quartile Q2 is 6.

The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.

Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

Learn more about the box and whiskers plot here;

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Answer:

15 minutes more, as 60-45mins = 15 minutes

Step-by-step explanation:hope it helps

It will take 15 more minutes for the journey than the expected.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

The distance from Raj's house to the airport is 30 miles.

He expects the taxi to travel at an average speed of 40 mph.

If he travels at a speed of 40 mph, let t be the time taken.

Speed = Distance / Time

40 = 30 / t

t =  = 0.75 hours = 45 minutes

If Raj's taxi actually travels at an average speed of 30 mph, let t' be the time taken.

30 = 30 / t'

t' = 1 hour = 60 minutes.

t' - t = 60 - 45 = 15 minutes

Hence the journey takes 15 more minutes than expected.

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Answer:

1. The capacity of the water tank = 240 litres

2. So it will take 180 litres to fill it three quarters full.

Step-by-step explanation:

Dimensions of a water tank:

1 Meter=100 CM

Length (l) = 100 cm,

wide (w) = 40 cm,

Depth (h)= 60 cm,

Volume of the tank (V)

LWH

100 cm × 40 cm × 60 cm

240,000 cm³

The capacity of the water tank = 240,000 cm³ / 240 litres

(240,000*3)/4 = 180,000 cm3

So it will take 180 litres to fill it three quarters full.

Answer: 9

Step-by-step explanation:

192 * 9 = 1728

Cube root of 1728 is 12

Answer:

Simplified equation: 25 - 16=9

Step-by-step explanation:

Evaluate the power

25 - 4 * 4

Multiply the numbers

25 - 16

Subtract the numbers

9

Answer:

3/10

Step-by-step explanation:

Answer:7/4 and 3

Step-by-step explanation:

Just took the test

Answer:

I think that the answer is D E

Answer:

4/15

Step-by-step explanation:

-1/3-(-3/5)

Subtracting a negative is like adding

-1/3 + 3/5

We need to get a common denominator of 15

-1/3 *5/5    + 3/5 *3/3

-5/15     + 9/15

4/15

Answer:

4/15

Step-by-step explanation:

-1/3 + 3/5 (2 negatives make a positive)

Taking the lowest common multiple, we get:

= (- 5 + 9)/15

= 4/15

Hope this helps!

Answer:

C

Step-by-step explanation:

The measure of the inscribed angle DEF is half the measure of its intercepted arc, that is

[tex]\frac{1}{2}[/tex] ∠ DEF = arc ED , that is

arc ED = 2 × 78° = 156°  → C

Option c 156 is correct.

Angle of the arc at tangent EF = 78

Area of circle is given by the pie times square of radius.

Since Angle made by chord with tangent is equal to halve the angle made by cord with its radius.
So

2 ∡DEF = measure of arc ED
= 2 x 78

= 156

Thus, the measure of are ED is 156°

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