How do I find out 4)?

How Do I Find Out 4)?

Answers

Answer 1

Answer:

Step-by-step explanation:

Given expression is,

[tex]\lim_{m \to \infty} \frac{4m^2-6m+1}{3m^2+5m+7}[/tex]

By dividing denominator and numerator of the given fraction by m²,

[tex]\lim_{m \to \infty} \frac{\frac{4m^2-6m+1}{m^2} }{\frac{3m^2+5m+7}{m^2} }[/tex]

= [tex]\lim_{m \to \infty} \frac{4-\frac{6}{m} +\frac{1}{m^2} }{3+\frac{5}{m} +\frac{7}{m^2} }[/tex]

We know that [tex]\lim_{n \to \infty} \frac{1}{n}=0[/tex]

[tex]\lim_{m \to \infty} \frac{4-\frac{6}{m} +\frac{1}{m^2} }{3+\frac{5}{m} +\frac{7}{m^2} }=\frac{4-0+0}{3+0+0}[/tex]

                            [tex]=\frac{4}{3}[/tex]

Therefore, We can evaluate the limit of the expression by substituting ∞ in for m.


Related Questions

If there are 10 marbles in a bag 1/5 of them are red and the others are blue. What is the ratio of red marbles to blue marbles ?

Answers

Answer:

4:1

Step-by-step explanation:

We know 1/5 of the marbles are red.

There are 10 marbles.

1/5 is also 2/10, so:

2 of the 10 marbles are red.

To find the blue marbles, lets subtract the red marbles from the total marbles:

10-2=8

So 8 of the marbles are blue.

This is a ratio of 8 blue to 2 red marbles.

Or

4 blue to 1 red marbles.

This can be shown as:

4 : 1

Hope this helps!

HELP! Drag each value to the correct location on the equation. Not all values will be used.
The number of archaeological sites discovered in a country over time, x, can be represented by the function S(x) = 2(1.1)x. The approximate number of artifacts found in each site over time, x, can be represented by the function A(x) = (1.1)5x + 2.

Create the function, T(x), that best describes the total number of artifacts found in archaeological sites in the country after x years.

Answers

Answer:

huh

Step-by-step explanation:

?

The exponential function that best describes the total number of artifacts found in archaeological sites in the country after x years = T(x) = [tex]2(1.1)^{6x+2}[/tex]

What is exponential function?

An exponential function is defined by the formula f(x) = a×, where the input variable x occurs as an exponent.

Time period = x years

The number of archaeological sites discovered in a country  in x years = S(x) = [tex]2(1.1)^{x}[/tex]

The approximate number of artifacts found in each site over time = A(x) = [tex](1.1)^{5x+2}[/tex]

The total number of artifacts found in archaeological sites in the country after x years = T(x) = S(x).A(x) = [tex]2(1.1)^{x}(1.1)^{5x+2} = 2(1.1)^{6x+2}[/tex]

Learn more about exponential function here

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ABCD is a rhombus. If the area of the rhombus is 16 cm2, and = 8 cm, what is ?

1 cm
4 cm
2 cm
8 cm

Answers

pretty sure it’s 4 cm

A survey asked 25 students about their favorite sport. A frequency table of their responses is below.

Basketball
4.
Football
7
Lacrosse
3
Soccer
8
Volleyball
3

Which of the following is the correct relative frequency table for the students' favorite sport?

Basketball
0.16
Football
0.32
Lacrosse
0.12
Soccer
0.28
Volleyball
0.12

Basketball
0.16
Football
0.28
Lacrosse
0.12
Soccer
0.32
Volleyball
0.12

Basketball
0.04
Football
0.07
Lacrosse
0.03
Soccer
0.08
Volleyball
0.03

Basketball
4.
Football
7
Lacrosse
3
Soccer
8
Volleyball
3

Answers

Answer:

25.5 / 3 = 8.5

Step-by-step explanation:

8.5 times more student prefer basketball over soccer

Answer:

d

Step-by-step explanation:

One afternoon, Olive, who is 2 feet 3 inches tall, casts a shadow that is 6 feet 1 inch long. At the same time of
the day, a nearby tree casts a shadow that is 12 feet long. Olive reasons she can figure out the height of the
tree.
What is the height of the tree in feet? Round your answer to the nearest tenth of a foot.

Answers

2×12=24

24+3= 27

12*12=144

144/24=6

Dominic wants to find the distance between his house on one side of the park and his school on the other side. He marks off a third point forming a right triangle, as shown in the diagram. The distances in the diagram are measured in yards. Use the Pythagorean Theorem to find the distance from Dominic’s house to the school. Sho

Answers

Answer:

The distance from the house to the school is 500 units

Step-by-step explanation:

The distance we want to calculate represents the hypotenuse of the right triangle

So, to use the Pythagoras’ theorem, we need the two other side lengths apart from the hypotenuse

The base side measures (350-50 = 300 units)

The measure of the height is (450-50 = 400 units)

Mathematically, the theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have it that;

h^2 = 300^2 + 400^2

h^2 = 90,000 + 160,000

h^2 = 250,000

h = √250,000

h = 500 units

Someone please help me ASAP!

Answers

Answer:

x + 1 y+1

Step-by-step explanation:

it translated 1 unit up the x axis and 1 unit y axis

Answer:

reflected across the y-axis and translated 1 to the right and 1 up

Step-by-step explanation:

please answer no links pls

Answers

Answer:

i cant read it..

Step-by-step explanation:

I need help or my math teacher will call my parents up about it and I will die

Answers

Answer:

113mm^2

Step-by-step explanation:

Firstly work out the area of the pink circle using πr^2, which is the area of a process.

So we do πx12^2, which gives us 144π mm we have to divide this by two to get half of a circle hence giving us the area of the semi-circle. 72π mm is the area of the semicircle.

Then we must find the area of the white circle to subtract it from our semicircle. Since we know the radius is 12 from the center to anywhere, we know that the white circles diameter is 12, using our formula for the area all we need to do is πx6^2. This gives us 36π.

72π - 36π = 36π

36π is equal to 113.0973355 and since we need it too 3sf it will be 113mm^2

Ray is constructing a flowerbed for the zoo and wants to
know if he has enough edging. A sketch of the flowerbed
is shown below. What is the perimeter of the triangle?
Round to the nearest whole number.
72 ft
41 ft
12 ft
24 ft
12 H
48 ft

Answers

Answer:

Option (3)

Step-by-step explanation:

Since, flowerbed is in the shape of a right triangle,

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

(Hypotenuse)² = (12)² + (12)²

(Hypotenuse)² = 144 + 144

Hypotenuse = √288

Hypotenuse = 16.97

                     ≈ 17 ft

Perimeter of the triangle = Sum of the measures of three sides of the triangle

= 12 + 12 + 17

= 41 ft

Therefore, Option (3) will be the correct option.

Answer:

41ft

Step-by-step explanation:

because i got 100% on the lesson

what is the value of the expression 6ab - b3 , if a=1 and b=2?

Answers

Answer:

6

Step-by-step explanation:

6(1×2) - 3(2)

6×2 - 6

12-6

= 6

here you go

please help with mine

Please help quadratic equation!! 20 points

Answers

Answer:

x=4,−2

Step-by-step explanation:

Because Step 1. Move all terms to one side.

{x}^{2}-2x-8=0

x

2

−2x−8=0

2 Factor {x}^{2}-2x-8x

2

−2x−8.

1 Ask: Which two numbers add up to -2−2 and multiply to -8−8?

-4−4 and 22

Step 2. Rewrite the expression using the above.

(x-4)(x+2)

(x−4)(x+2)

and going to;

(x-4)(x+2)=0

(x−4)(x+2)=0

And Step 3. Solve for xx.

1 Ask: When will (x-4)(x+2)(x−4)(x+2) equal zero?

When x-4=0x−4=0 or x+2=0x+2=0

2 Solve each of the 2 equations above.

x=4,-2

x=4,−2

x=4,-2

Our Answer is:

x=4,−2

I Hope It's Helps

Answer:

2 and -4

tso numbers when added gives -2 and 8 incase it's not clear enough.

Pick ALL the options below that make g > 21 true

g = 21 1.

g = 17 2.

g = 12 3.

g = 34 4.

g = 25 5.

Answers

G=12,3. Because it all goes into the b

Answer:

correct answers that make g > true

g = 21.1

g = 34.4

g = 25.5

In short words , the 1st , 4th and 5th option make , g > 21 true .

Find the equation with a line with slope 7
_
2 passing through the point (-2,9).

Answers

Answer:

y = 7/2 x+16

Step-by-step explanation:

The equation for a line is y = mx+b where m is the slope and b is the y intercept

y = 7/2 x+b

Substitute the point into the equation

9 = 7/2(-2)+b

9 = -7+b

9+7 = b

16 = b

y = 7/2 x+16

Select the correct answer.

What is in simplest form?

A. 8√4

B. 17√2

C. 4√ 17

D. 2√17

Answers

The simplest form in this situation should be A

Pleas help this is due today!!

Answers

I can tell this activity is about graphing, but the writing is barely legible, can you re-upload the pictures or write it out?

what is the length of the diagonal of the screen,in feet?

Answers

Answer:

12.2

Step-by-step explanation:

4,756 rounded to the nearest thousand is

Answers

4,756 rounded to the nearest thousand is 5,000.

Answer:

rounded to the nearest thousands 4,756 is 5,000 since 7 is higher then 4 so it rounds up

Analyzing angle pair relationships

Angle 3 and 4 are ____.

The equation _____ can be used to solve for x.

m 5 = __

Answers

Answer:

Angle 3 and 4 are supplementary angles.

The equation (3x+4) + (2x+11) = 180 can be used to solve for x.

m 5 = 77

Step-by-step explanation:

Find the area of this parallelogram

Answers

80.94 square centimeters
use this formula for area of parallelogram:
Base x height

Our base is 11.4
Height is 7.1
(Use the height that is perpendicular to the base)

11.4 x 7.1 = 80.94

Have a nice day

if p (x) = 3x^3+2x^2+4x^4+3 and q (x) = 3x^4-2-x+5^2 .find p (x) - q (x)​

Answers

Answer:

4x⁴-3x⁴+5x³-3x²+1

Step-by-step explanation:

Given that p (x) = 3x^3+2x^2+4x^4+3 and q (x) = 3x^4-2-x+5x^2

p (x) - q (x)​ = 3x^3+2x^2+4x^4+3 - (3x^4-2-x+5x^2)

p (x) - q (x)​ = 3x^3+2x^2+4x^4+3 - 3x^4 + 2 + x - 5x^2

Collect the like terms

p (x) - q (x)​ = 4x⁴-3x⁴+3x³+2x²-5x²+x+3-2

p (x) - q (x)​  = 4x⁴-3x⁴+5x³-3x²+1

This givess the difference

A new pair of Air Jordan's that sells for $150 decreases at a rate of 14% each year. Find the value of the shoes after 5 years (round to the nearest cent).

Answers

Answer:

$45

Step-by-step explanation:

If it looses it value of 14 % every year, by the end of 5 years, the value would go down by 70%.  So, 150x0.7= 105, 150-105=45, so it would be. worth. 45% in 5 years.

Given: CA bisects BAD and CA bisects BCD.
Prove: ABC - ADC.

Answers

Well I’m not getting rewarded with a lot more than a lot more money but I’m still on the same side I

By AAS criteria, ΔABC ≅ ΔADC.

What is Parallelogram? What is triangle?

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is CA bisects ∠BAD, AB ⊥ BC and AD ⊥ DC.

In ΔABC and ΔADC -

∠ABC = ∠ADC = 90°

∠ACB = ∠ACD     {bisected angle ∠BCD}

AC = AC  {Common}

By AAS criteria, ΔABC ≅ ΔADC.

Therefore, by AAS criteria, ΔABC ≅ ΔADC.

To solve more questions on 2 -D figures, visit the link below-

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[Complete questions

Given: CA bisects ∠BAD, AB ⊥ BC and AD ⊥ DC . Prove: △ABC≅△ADC.]

You want to buy the largest pizza in Northern Utah. You find a pizza that measures
75.36in around. What is the area that the pizza covers?

Answers

Answer:

451.7in^2

Step-by-step explanation:

You first need to determine the radius of the circle. This can be done by taking the circumference and dividing it by 2pi:

[tex]r=\frac{75.36in}{2\pi } = 11.99 in[/tex]

Now that you have the radius, you can plug it into the formula for the area of a circle (this is assuming the pizza is perfectly round):

[tex]A=\pi r^2=\pi (11.99^2)=451.7in^2[/tex]

The area that covers the circular pizza is: 451.64 in.²

What is the Area and Perimter of a Circle?

Area = πr²

Perimeter = 2πr, where r is the radius of the circle.

Given the following:

Perimeter of the circular pizza = 75.36 in.

Find the radius:

2πr = 75.36

r = 75.36/2π

r = 11.99 in.

Find the area:

Area = π(11.99)²

Area = 451.64 in.²

Learn more about the area of a circle on:

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Please help its urgent quick fast Lighting McQueen!

Answers

Answer:

Option A

Step-by-step explanation:

x-7>2

x>9

Therefore, A is correct since 9 isn't included in the solution set.

Answer:

First option is correct

Step-by-step explanation:

x-7 > 2

x > 7+2

x > 9

Hope it is helpful....

ASAP

Help pls

Answer as fast as you can

Plsss help

Thank you

Answers

Answer:

42

Step-by-step explanation:

From the question, we have it that 63 cups were emptied

That means the sum of both cup sizes is 63

Thus;

x + y = 63 ••••••(i)

Since each small cup is of size 8 oz and a total of x was used. The total volume from the small sized cup is 8 * x = 8x oz

similarly for the medium sized, we have 12 * y = 12y oz

The sum of both is 4(147)

8x + 12y = 4(147 )•••••(ii)

We want to get the value of x

from equation i;

y = 63-x

Substitute this into equation ii

8x + 12(63-x) = 4(147)

8x + 756 - 12x = 4(147)

12x-8x = 756-4(147)

4x = 168

x = 168/4

x = 42 small sized cups

What is the radius of a hemisphere with a volume of 920 ft^3 to the nearest tenth of a foot?

Answers

Answer:

7.6 ft

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

A hemisphere is 1/2 of  a sphere

V = 1/2 (4/3 pi r^3)

V = 2/3 pi r^3

920 = 2/3 pi r^3

Multiply each side by 3/2

920 * 3/2 = 3/2 * 2/3 pi r^3

1380 = pi r^3

Divide each side by pi

1380/pi = pi r^3 / pi

1380/ pi = r^3

Using pi as 3.14

1380/3.14 = r^3

439.4904459= r^3

Taking the cube root of each side

(439.4904459)^(1/3)= r^3^(1/3)

7.602967711=r

To the nearest tenth

7.6 = r

radius=7.6ft

Answer:

Solution given:

radius [r]=?

Volume of hemisphere=920ft³

⅔*πr³=920

r³=920*3/(2π)

r³=439.267

r=[tex]\sqrt[3]{439.267}=7.6ft[/tex]

In 2016, the average SAT Math score was 510 with a standard deviation of 80 points. What is the probability of a student scoring less than 590?
a. 83.85%
b. 67.7%
c. 16.15%
d. 49.85%

Answers

D. 49.85% is the answer

Show that x^2 + 5x = 3

Answers

Answer:

[tex]area = length \times width \\ 9 = (x + 3)(x + 2) \\ {x}^{2} + 2x + 3x + 6 = 9 \\ {x}^{2} + 5x + 6 = 9 \\ {x}^{2} + 5x + (6 - 9) = 0 \\ {x}^{2} + 5x =3[/tex]

Find the surface area of the rectangular prism

Answers

Answer:

472

Step-by-step explanation:

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