Find lim h 0 f(2+h)-f(2)/ h if(x)=x^ 2 .

9514 1404 393

Answer:

  (0, 1)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis. The x-coordinate is always 0 there. Here, the y-coordinate is 1 grid square up from the x-axis, so the coordinates of the y-intercept are (0, 1).

Answer:

The volume at the highest point is 64 times greater

Step-by-step explanation:

Mathematically, the volume of a sphere is simply the same formula irrespective of the size

Now, we have the formula as;

V = 4/3 * pi * r^3

While the 4/3 pi is a constant term, the value of r changes

initially we have the value of r as d = 2

where r is the radius and d is the diameter

we have this as;

8/2 = 4 ft

r^3 of this is 4^3 = 64

For the second part, we have

r as 32/2 = 16 ft

now, the r^3 part here is 16^3 = 4096

So now, we have to divide the final by the initial

we have this as 4096/64 = 64

So the volume at the highest point is 64 times greater

The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

The age of Sita = (x + 5) years.

And, the age of Gautam = x years.

Now,

5 years ago, the ratio of their ages was 3 : 2

[tex] \therefore [/tex] [tex] \bf \frac{3}{2} \: = \frac{x \: + \: 5}{x} [/tex]

Now by cross multiplying, we get,

3x = 2(x + 5)

3x = 2x + 10

3x - 2x = 10

Hence, the age of Sita = (x + 5) = (10 + 5) = 15 years.

And, the age of Gautam = x = 10 years.

Now,

The present age of Sita = 15 + 5 = 20 years. (Answer)

And, the present age of Gautam = 10 + 5 = 15 years. (Answer)

Answer:

I have no idea.

Step-by-step explanation:

??

Answer:

90,597 square inches

Step-by-step explanation:

In ΔWXY, w = 410 inches, x = 530 inches and y=830 inches. Find the area of ΔWXY to the nearest 10th of an square inch.

We solve using Heron's formula

A = √s(s -a)(s - b) (s - c)

s = a + b + c/2

a = 410 inches

b = 530 inches

c = 830 inches

Hence,

s = 410 + 530 + 830/2

s = 885

A = √885(885 - 410)(885 - 530)(885 - 830)

A = 90,597.030166557 square inches

Approximately = 90,597.0 square inches

Answer:

True.

Step-by-step explanation:

1.8 is greater than 1 so it is an increase. Raised to an exponent is an exponential increase.

The correct answer would be A. Bacteria growth increases exponentially

Given:

PQRS is a rectangle.

[tex]PS=5\ cm,\ PR=13\ cm[/tex]

To find:

The length of SR and QS.

Solution:

We know that, all interior angles of a rectangle are right angle. So, [tex]\angle S=90^\circ[/tex].

According to the Pythagoras theorem, in a right angle triangle,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

Using Pythagoras theorem in triangle PRS, we get

[tex]PR^2=PS^2+SR^2[/tex]

[tex]13^2=5^2+SR^2[/tex]

[tex]169-25=SR^2[/tex]

[tex]144=SR^2[/tex]

Taking square root on both sides.

[tex]\sqrt{144}=SR[/tex]

[tex]12=SR[/tex]

So, the measure of SR is 12 cm.

We know that the diagonals of a rectangle are equal. PR and QS are the diagonals of the rectangle PQRS. So,

[tex]PR=QS[/tex]

[tex]13=QS[/tex]

Therefore, the length of SR is 12 cm and the length of QS is 13 cm.

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

Answer:

20

Step-by-step explanation:

Answer:

3626 i hope this is correct sorry if it is not

Step-by-step explanation:

Answer:

I think its "decimal" Im not sure tho

Step-by-step explanation:

to be specific I would say "decimal that is rounded to the hundredths place"

Answer:

It would end at 9:38

Step-by-step explanation:

but obviously it is not one of the answer choices, so I would go with 9:42

Answer:

(m + 2)

Step-by-step explanation:

First, factorise out m from the first equation:

m² + 2m = m (m + 2)

Second, use difference of two squares to factorise the 2nd equation:

m² - 4 = (m + 2) (m - 2)

Third, just factorise the last one normally as you would to solve for m:

m² + 3m + 2 = (m + 2) (m + 1)

Finally, to find the lowest common multiple, you need to identify what value goes into all of the equations and that is (m + 2).

Answer:

multiple 2 with everything

Step-by-step explanation:

two by 3=6 6X2=12 and like this

Answer:

D) 16π/3 ft

Step-by-step explanation:

The Question is calculated using Arc length formula

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

Hence, the arc length = Option D =  16π/3 ft

Answer:

40

Step-by-step explanation:

add 80 and 60

subtract 140 from 180

180-140=40

Answer:

59.00

Step-by-step explanation:

kind of common sense

Part A

Let's say we measure a board length and we measure 18.639 cm. Now let's say we round to the nearest tenth. That would lead to 18.6 cm. The question is "What is the largest value we can measure such that we round to the nearest tenth to get 18.7 cm?"

Well we could measure 18.7 cm exactly, but there are values we could measure that are larger to round to that value. We could measure 18.71 or 18.72, etc etc all the way up to 18.74; once we get to 18.75, it will round to 18.8

So this means that the largest we can measure is 18.74 and it is the upper bound we're after.

=========================================================

Part B

We use the same idea as part A, but now we're extending out one more decimal place.

We could measure 58.37 cm exactly or we could measure 58.371 or we could do 58.372, etc until we arrive at 58.374

By the time we get to 58.375, it will round to 58.38 and that's not what we're after. So the highest we can go is 58.374 cm

Answer:

Number of friends in the group = 9

Step-by-step explanation:

Number of cards in the package = 108

Number of cards each friend gets = 12

How many friends were in the group?

Number of friends in the group = Number of cards in the package / Number of cards each friend gets

= 108 / 12

= 9

Number of friends in the group = 9

Answer:

266.15

Step-by-step explanation:

3460 dividido por 13 personas = 266.15

Answer: n divided by 4!

Step-by-step explanation: If its a quotient, it means division!

Answer:

Step-by-step explanation:

increasing he number by 50%

look 25 x 2 = 50 woah duable  means  add th number again boom 50%

Answer:

third option (mult by 1.25)

Step-by-step explanation:

let's say the number is 10

now double it to get 20

now increase it be 25% which is the same as multiplying by 125% or 1.25; you will get 25

Answer:

In the Hindu caste system, the farmers and merchants are known as the Vaishyas.

Hope it will help :)❤

Answer:

[tex]x { }^{2} + 8x + 11 = 0 \\ d = 64 - 44 = 20 \\ x1 = \frac{ - 8 - \sqrt{20} }{2} = - 4 - \sqrt{5} \\ x2 = \frac{ - 8 + \sqrt{20} }{2} = - 4 + \sqrt{5} [/tex]

Answer:

a)

Step-by-step explanation:

base on the hierarchy of the hands should be

Straight flush - Poker hand in with 4 consecutive cards of the same suit

Flush - Poker hand with any 4 cards of the same suit

Full house - Poker hand that contains three of the same cards and one pair

Since: Poker hand refers to the 4  cards that are held in the game. Every game features the same hierarchy of poker hands. Based on this hierarchy, there can be different types of poker hands:

Answer:

Step-by-step explanation:

[tex]n^2+8n+12\\\\[/tex]

Break the expressions into groups

[tex]=\left(n^2+2n\right)+\left(6n+12\right)\\\\[/tex]

Factor out n from n^2+2n

Factor out 6 from 6n+12

[tex]=n\left(n+2\right)+6\left(n+2\right)[/tex]

Factor out common term : n+2

[tex]=\left(n+2\right)\left(n+6\right)[/tex]

The factors of the quadratic equation by applying the factorization method are (n + 2) and (n + 6).

Given that,

The quadratic equation is,

n² + 8n + 12

Used the factorization method to factor the quadratic equation.

Now, factor the equation,

n² + 8n + 12

n² + (6 + 2)n + 12

n² + 6n + 2n + 12

n (n + 6) + 2(n + 6)

(n + 2) (n + 6)

Therefore, the factors of the equation are (n + 2) and (n + 6).

To learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ6

Answer: 21

Step-by-step explanation: at the bottom it said "Y-intercepts have an x value of 0." and when we look at the numbers, y is at 21 when x is at 0.

Answer:

A

Step-by-step explanation:

It's hard to see but when x is 6, y is 4.5. Just plug that into each equation and see which one is correct.

[tex]x^{2} =8y\\x=6;y=4.5\\6^{2} =8(4.5)\\36=36[/tex]