Mathematics High School

x
For f(x)=0.01(2) , find the average rate of change from x=3 to x=8.

Answers

Answer 1
Answer:

Option b. 0.496

Step-by-step explanation:

we know that

f(x)=0.01(2^{x})

The average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

where

a=3

b=8

f(a)=f(3)=0.01(2^{3})=0.08

f(b)=f(8)=0.01(2^{8})=2.56

Substitute

\frac{2.56-0.08}{8-3}

\frac{2.48}{5}

0.496

Related Questions


What is the negative square root of 25/400?

Answers

Answer:

Step-by-step explanation:

State if the two triangles are congruent. If they are, state how you know

(look at the picture)

Answers

B congruent by SAS

The triangles show that they share one angle and have two sides that are congruent(indicated by the markings on the triangles)

Please answer!! And will you explain why??

Answers

Given, the measure of the arc is 85°. This is the central angle and now we have to convert it into radians. Since, this value of angle lies between 0° and П/2 (90°), we can conclude that it lies in the first quadrant.

473hours to days and hours​

Answers

Answer:

19 days and 17 hours

Step-by-step explanation:

the figure below shows a 60 foot pole held in place by wires anchored at point B, 40 feet from the base of the pole.

Answers

Answer: A: 21.4

Step-by-step explanation:

For the figure, on the pole where, tower is attached, the measure of side DC is 21.4 feet.

What is right angle triangle property?

In a right angle triangle, the ratio of the opposite side to the adjacent side is equal to the tangent angle between them.

[tex]\thn \theta=\dfrac{b}{a}[/tex]

Here, (a) is the adjacent side, (b) is the opposite side and [tex]\theta[/tex] is the angle made between them.

The height of the pole is 60 foot. Therefore,

[tex]AC=60\rm ft[/tex]

The distance of the wire from the base of the pole is 40 feet. Therefore,

[tex]BC=40\rm ft[/tex]

Therefore, the tangent angle can be given as,

[tex]\tan\angle(ABC)=\dfrac{60}{40}\\\angle(ABC)=\tan^{-1}(1.5)\\\angle(ABC)=56.31^o[/tex]

The angle DBC is half of the angle ABC. Thus,

[tex]\angle(DBC)=\dfrac{56.31}{2}\\\angle(DBC)=28.15^o[/tex]

Now, again in the triangle DBC, the tangent angle can be given as,

[tex]\tan(28.15)=\dfrac{DC}{40}\\DC=21.407\rm ft[/tex]

Hence, on the pole where, tower is attached, the measure of side DC is 21.4 feet.

Learn more about the right angle triangle property here;

https://brainly.com/question/22790996

Solve for all values of x by factoring. x2 – 11x + 5 = -6x + 5​

Answers

Answer:

x = 0,5

Step-by-step explanation:

Factor and set each factor equal to 0.

Can someone help me. Will Mark brainliest.

Answers

Answer:

The answer is 50.

Hope this helps. sry if it is wrong

Graph the function f(x)=x^2+4x- 12 on the coordinate plane. (do a, b and c)(explain or show how you know the answer.) (graph down below.)

a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?

Answers

9514 1404 393

Answer:

  a) {-6, 2}

  b) -12

  c) minimum: -16

Step-by-step explanation:

I find a graphing calculator to be a big help. Its graph is attached.

__

a) The function can be factored as ...

  f(x) = (x -2)(x +6)

The factors are zero at the x-intercepts: x = 2, x = -6.

__

b) The y-intercept is the function value when x=0. That is the constant in the function. The y-intercept is -12.

__

c) The leading coefficient of the function is positive, so its graph opens upward. The extreme value is a minimum. It is found on the axis of symmetry, at the x-value that is halfway between the x-intercepts: x = (2-6)/2 = -2. The function value there is ...

  f(-2) = (-2-2)(-2+6) = -4(4) = -16

The minimum is f(-2) = -16.

Answer:

I took the test.

A (6, -2)

b (-12)

c  Minimum -16

Step-by-step explanation:

PLS HELP ME I NEED TO HAND IN ALL MY WORK BY TOMORROW:(

Answers

This is division and addition/multiplication

PLEASE HELP ILL MARK U BRAINLIEST!!!!!!!

4 adults and 3 children cost $40 to go to a show. 2 adult and 6 children cost $38 to go to the same show. How much would it be for adults to go to this show. How much would it cost for 2 adults and children?

Answers

Answer:

$7 dollar per adult

$4 dollars per child

two adults and two children would cost $22

Step-by-step explanation:

if x,y are in inverse proportion then complete the following table x= 42 y=-15 , x=30 y=-----
​

Answers

Answer:

when x=30, y = -21

Step-by-step explanation:

x = k/y

x = 42 y = -15

x = k/y

42 = k/-15

Cross product

42 * -15 = k

-630 = k

k = - 630

Find y when x=30

x = k/y

30 = -630/y

Cross product

30 * y = - 630

30y = - 630

y = - 630/30

y = -21

when x=30, y = -21

6)
Which is equivalent to 23-2-5?
A)
2-15
B)
C)
2-2
D
22

Answers

Answer:

Step-by-step explanation:

16 is equivalent to 23- 2- 5

HELPPP PLEASEEE ILL GIVE B IF CORRECT AND EXPLAIN

Answers

Answer: 60 degrees

Explanation: If all angles are same, each angle is 60 degrees and adds up to 180.
It’s 60 degrees it’s b

Use the iterative formula xn+1 = 4 - √x with x0 = 2 to find the solution to f(x) correct to 2 decimal places.

Answers

x= 2.44 to 2 decimal places

help please i got the last part but not the others

Answers

Expand: (x+5)(x+5)
Multiply: (x^2)(10x)(25)
Distrib. Prop: the same as line before
Multiply: (x^3)(5x^2)(10x^2)(50x)(25x)(125)

I need help with this question , 13 + 7x = 27

Answers

13 + 7x = 27
7x=14
x=2

Hope this helps :)

Answer:

x=2

Step-by-step explanation:

27-13=14

14÷7=2

therefore x is equal to 2

What is the length of the diagonal of the rectangle?

10.625

126.4375

29.75

21.25

Answers

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = base² +altitude²

Diagonal² = 17² + 12.75²

                = 289 +162.5625

               = 451.5625

Diagonal = √451.5625

              = 21.25

Answer:

The answer is 21.25

Step-by-step explanation:

I need help with prime factors

Answers

Answer: the answer is 8 and 3

Step-by-step explanation:

factors are numbers that can be multipiled together to find a whole number. since 8 and 3 are being multiplied together to get 24, 8 and 3 are factors of 24.

I hope this helps ! good luck

100 increased by 99%​

Answers

Answer:

100 increased by 99% is 199

Answer: 199

Step-by-step explanation: i asked siri

Question 15
Elizabeth goes to a restaurant where her
bill comes to $18.50. The restaurant
charges a 7% tax on the bill. She leaves
the server a 15% tip on the bill. How
much will Elizabeth pay in total?

-please answer I am currently on a test right now plz also show your work so I can get full credit :)

Answers

Answer:

The answer is $22.77.

Step-by-step explanation:

15%=$2.97

7% tax= $1.30

18.50+1.30=19.80

2.97+19.80=22.77

Total: $22.77

LE
Majid rents a bicycle to ride around the city.
There is AED 80 deposit plus AED 22 per hour charge.
If Majid pays AED 146, Majid can ride the bicycle for
hour
B
22
12
80

Answers

Answer:

3 hours

Step-by-step explanation:

The rent of the bicycle comes with a charge of:

Initial deposit = AED 80

cost per hour = AED 22

If Majid pays AED 146, then;

AED 146 - AED 80 = AED 66

Given that the charge per hour is AED 22, then to determine the number of hours that Majid can ride;

number of hours = [tex]\frac{AED 66}{AED 22}[/tex]

                            = 3

Majid would be able to ride the bicycle for 3 hours when he pays AED 146.

Maria is saving for a scooter that costs $170. She has $54 already. She gets an allowance of $8 each week. How many weeks w will it take for Maria to save at least enough money to buy the scooter? Write an inequality to represent the situation.

Answers

21 weeks and then she will have saved at least enough money to buy it .

Pls help with my homework I need help

Answers

Answer:

tan G = 1.6071

Step-by-step explanation:

tan G = 45/28

tan G = 1.6071

hello help please i’ll mark brainliest!!!

Answers

Answer:

Consisting of billions of galaxies

Step-by-step explanation:

Pls can someone help me ? It’s urgent :((

Answers

Answer:

c.40

Step-by-step explanation:

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

I have a trick for parallelograms and the formula is...[tex]\frac{b*h}{2}[/tex]

Yes the rectangle formula also wrks for parallelograms!!! You just gotta chop one end up and stick it on the other side!

So it is 5*8/2=20

what is the 10 time tables

Answers

Answer:

ugh wdym like 10 20 ,30 40 and so on ....

Answer10 20 30 40 50 60 70 80 90 100 110 120

Step-by-step explanation:

10x1=10

10x2=20

10x3=30

10x4=40

10x5=50

10x6=60

10x7=70

10x8=80

10x9=90

10x10=100

10x11=110

10x12=120

find the value of x in each triangle. show your work on a separate piece of paper

Answers

Answer:

125

Step-by-step explanation:

all angles in a triangle add up to 180. you add 100+25=125 180-125=55 to check... 125+55=180 to angles next to each other on a straight line equals 180-55=125 angle x= 125

im pretty sure thats correct i hope this helps!

Can someone please help me with #2,3,5 ( for Brainliest)

Answers

Answer:

2) m∡1 = 100°

3) m∡2 = 40°

4) TD

5) m∡1 = 67°

Step-by-step explanation:

I need help with this question , 17 - q = 6

Answers

the answer is 11!! :-)

What is
3/4
÷
1/8
?
explain your reasoning

Answers

Answer:

6

Step-by-step explanation:

when you divide fractions you can "flip" the second fractions and multiply instead.

So you can do:

3/4 * 8/1 which equals 24/4 which simplifies to 6

Answer:

The answer is 6.

Step-by-step explanation:

If you have to do division with 2 different fractions you have to make them have equal denominators. The way you do this is that you multiply 4 x 2 in order to make the denominator of 3/4 turn into 8 and since the rule is whatever you do to the bottom you have to do to the top 3/4 turns into 6/8 because you multiply 3 x 2. Then you see how many times you can put 1/8 into 6/8. The answer for this is 6. Afterwards in order to make sure your answer is correct you do 1/8 x 6/1, (6). Since 1/8 x 6 is 6/8, your answer is correct.

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