Calculate the average rate of change of function on the interval (a,a+h). simplify your expression.Show all steps.
f(x)=3x+2/2x-1

Answer:

16 feet

Step-by-step explanation:

Height of tree = [tex]\frac{20}{15}[/tex] × 12ft

                       = 16ft

Answer:

2 cups of milk, and 1 cup of chocolate chips. What percentage of

Step-by-step explanation:

Answer:

100 answer is correct

Step-by-step explanation:

2×10-3×-12+4×11

20+36+44

100 answer is correct

Step-by-step explanation:

2x-3y+4z

x=10

y=12

z=11

2(10)-3(-12)+4(11)

20+36+44

and the answer is 100

(made a lot of mistakes so edited answer!)

good day :)

Answer:

[tex]P(t) = 10000e^{0.1733t}[/tex]

Step-by-step explanation:

The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate.

A petri dish has 10, 000 bacteria in it.

This means that [tex]P(0) = 10000[/tex]. So

[tex]P(t) = 10000e^{rt}[/tex]

After 4 hours the bacteria’s population increased to 20,000.

This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So

[tex]P(t) = 10000e^{rt}[/tex]

[tex]20000 = 10000e^{4r}[/tex]

[tex]e^{4r} = \frac{20000}{10000}[/tex]

[tex]e^{4r} = 2[/tex]

[tex]\ln{e^{4r}} = \ln{2}[/tex]

[tex]4r = \ln{2}[/tex]

[tex]r = \frac{\ln{2}}{4}[/tex]

[tex]r = 0.1733[/tex]

So, the formula is given by:

[tex]P(t) = 10000e^{0.1733t}[/tex]

Answer:

97

Step-by-step explanation:

if there are a total of 782 stickers and 8 stickers fill one page the number of full pages can be found by dividing 782 by 8. Doing this gives us 97.75, but since the question is asking us about full pages the answer if 97 full pages of stickers.

Answer:

$25.50

Step-by-step explanation:

Answer:

(40)(15/100)=6

(40)(25/100)=10

10+6=16

orginal price at 40

After discounts 16

40-16=24

so you can buy it in 24$

Hope it helped you

Answer:

Helllllllllllllllllo pls say it back  or ur stupied

Step-by-step explanation:

Answer:

5 steps

Step-by-step explanation:

[tex]65cm \times 8 = 520cm[/tex]

[tex]4dm = 40cm \\ 65 - 40 = 25[/tex]

[tex]25 \times 8 = 200cm \: gap[/tex]

[tex]200 \div 40 = 5[/tex]

Answer:

His daughter has walked 13 steps

Step-by-step explanation:

Unit Conversion

Each step of the father is 65 cm long and each step of his daughter is 4 dm long.

Recalling that 1 dm = 10 cm, then each step of the daughter is 4*10 = 40 cm long.

Now we can compare both measures. When the father has walked 8 steps, this distance is 8*65 = 520 cm, and the daughter has walked 520/40 = 13 steps.

His daughter has walked 13 steps

Answer:

The total surface area is 973.89 ft

Step-by-step explanation:

The formula for the surface area of a cylinder is A=2πrh+2πr2.

The top cylinder has a radius of 5 ft, and height of 2 ft.

The bottom cylinder has a radius of 10 ft, and a height of 2 ft.

Plug in the numbers for each and you get:

Top Cylinder:

A=2π(5)(2)+2π(5^2)

A=2π(10)+2π(25)

A= 62.83185307 + 157.079327

A= 219.9111801

A≈ 219.91

Bottom Cylinder:

A= 2π(10)(2)+2π(10^2)

A= 2π(20)+2π(100)

A= 125.6637061 +  628.3185307

A= 753.9822368

A≈ 753.98

Combined:

753.98 + 219.91 = 973.89

Answer:

we have the same computer

Step-by-step explanation:

Answer:

[tex]114\:\mathrm{yd^2}[/tex]

Step-by-step explanation:

The composite shape consist of two rectangles. We can find the area of these two rectangles and add them to get our answer:

[tex]10\cdot9+6\cdot 4= 90+24=\fbox{$114\:\mathrm{yd^2}$}[/tex].

Answer:

If  AB = BA = I, then B is inverse of A and vice-versa.

Step-by-step explanation:

Given: AB = BA = I

To find: The relation between matrix A and B.

If AB = BA = I, then B is called the inverse matrix of A and is denoted by [tex]A^{-1}[/tex].

In that case, A is said to be invertible.

Also, if B is the inverse of A, then A is also the inverse of B.

Hence, the relation between A and B is that both are inverse of each other.

Answer:

1. A rotate 180° counterclockwise    (x,y) --> (-x,-y)  or

2. A reflect about the origin (0,0)     (x,y) --> (-x,-y)

Step-by-step explanation:

A ( -2 , 4)      F (2 , -4)

2 ways:

1. A rotate 180° counterclockwise    (x,y) --> (-x,-y)  or

2. A reflect about the origin (0,0)     (x,y) --> (-x,-y)

Wish this is right...

Answer:

The coordinates of point A are (-2, 4), and the coordinates of point F are (2, -4).The x-coordinates, -2 and 2, are opposites, and the y-coordinates, 4 and -4, are opposites.

Step-by-step explanation:

!!edmentum answer!!

Answer:

Step-by-step explanation:

16(1/4)^2 - 4(6)

16(1/16) - 24

1 - 24 = -23

Answer:

Step-by-step explanation:

It is a pity that we can't see the name of the units on the y axis. I sound like a grumpy old man (which I am), but the answer might be easy enough. Follow the line upwards from x=3 to the best fitting line. Then go left until you hit the y axis.

All other things being equal, you should get 6. I'm not positive about this because the units are differently spaced along each axis. But I do think you have the right equation y = -x + 9

Answer:

−a2+17b

Step-by-step explanation:

Answer: 10.) -6 and it's B

11.) A

12.) C

Step-by-step explanation:

Answer:

1, 3, 9, 27

Step-by-step explanation:

Answer:

3*7

3*3*3

3^3

Step-by-step explanation:

.............

Step-by-step explanation:

Slope of the mountain

= Rise in height / Run in distance

= (4215ft - 3720ft) / 5 mi

= 495ft / 5mi

= 99ft/mi. (C)

Step-by-step explanation:

where is the diagram or shape my guy

Answer:

r

Step-by-step explanation:

r

Answer:

Step-by-step explanation:

Here you go mate

Step 1

5x+2=17  Equation/Question

Step 2

5x+2=17  Simplify

5x+2=17

Step 3

5x+2=17  Subtract 2

5x=15

Step 4

5x=15  Divide

answer

x=3

Hope this helps

Answer:

first blank is x, then -7, then 11, then -11.

Step-by-step explanation:

Hope it helps!

Answer: 990 lb

Step-by-step explanation:

t = (4 x 180) + (3 x 90)

t = 720 + 270 = 990

Given:

The expression is

[tex]\sqrt{64}+\sqrt{-144}[/tex]

Rewriting it as a complex number in the standard form a+bi.

To find:

The missing values in the given simplification.

Solution:

We have,

[tex]\sqrt{64}+\sqrt{-144}[/tex]

It can be written as

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1\cdot 12^2}[/tex]

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1}\cdot \sqrt{12^2}[/tex]

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot \sqrt{12^2}[/tex]   [tex][\because \sqrt{-1}=i][/tex]

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot 12[/tex]

[tex]\sqrt{64}+\sqrt{-144}=8+12i[/tex]

Therefore, the missing values are [tex]-1,\ i,\ 12i[/tex] respectively.

Answer:

Sample Answer for Edmentum

Like and Rate!

Step-by-step explanation:

Answer:

1 hour and 12 mins and 56 seconds

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

equal to

Step-by-step explanation:

two negatives equals positive

Answer:

Equal

Step-by-step explanation:

Double negative equals a positive. Gn

Step-by-step explanation:

21x+72+105+78=360

21x=105

x=5

Answer:

[tex]L_4=0.7595[/tex]

Step-by-step explanation:

We are given that

[tex]f(x)=\frac{1}{x-1},[/tex][2,3]

We have to find L4

It means n=4

[tex]\Delta x=\frac{b-a}{n}=\frac{3-2}{4}=\frac{1}{4}=0.25[/tex]

Now, intervals are

[2,2.25],[2.25,2.50],[2.5,2.75],[2.75,3]

Now,

[tex]L_4=f(x_0)\Delta x+f(x_1)\Delta x+f(x_2)\Delta x+f(x_3)\Delta x[/tex]

[tex]L_4=\frac{1}{2-1}(0.25)+\frac{1}{2.25-1}(0.25)+\frac{1}{2.5-1}(0.25)+\frac{1}{2.75-1}(0.25)[/tex]

[tex]L_4=0.7595[/tex]

9514 1404 393

Answer:

  384 cm²

Step-by-step explanation:

It is always a good idea to take a look at what you have and what you are being asked before you go launching into formulas. Then you can pick the formula(s) appropriate to your needs.

__

Your pyramid has a square base, so four (4) triangular faces. The area being asked for is the total of the areas of the square base and those triangular faces.

The formula for the area of a square is ...

  A = s² . . . . . where s represents the side length

Here, the side of the square is 12 cm, so the area of the square base will be ...

  A = (12 cm)² = 144 cm²

__

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where b is the base length and h is the altitude

In this problem, you're not given the altitude of the triangular face (also called the "slant height" of the triangle). Instead, you're given the height of the pyramid. So, you have to determine the slant height.

Consider the cross section you get when you cut the pyramid with a vertical plane through the peak and the middle of opposite sides. It will be an isosceles triangle with a base equal to the side length of the pyramid, and side lengths equal to the slant height of the pyramid face. See the attachment for an idea of what this looks like.

In order to determine the length of the side of that cross-section triangle, draw its altitude. That is the 8 cm height of the pyramid. Then use the Pythagorean theorem to find the hypotenuse of the right triangle with legs 6 cm and 8 cm:

  slant height = √(8² +6²) = √100 = 10 . . . . cm

Now, we can find the area of one of the four triangular faces:

  A = (1/2)(12 cm)(10 cm) = 60 cm²

__

The surface area of the pyramid is then ...

  surface area = base area + 4 × triangular face area

  surface area = 144 cm² + 4 × 60 cm² = (144 +240) cm²

  surface area = 384 cm²