Mathematics High School

The value of the function f(x) is 600 when x=0 and decreases by 9% for every one-unit increase in x. Complete the equation that represents the function f(x)
its a open answer please help

Answers

Answer 1

Answer:

[tex]f(x)=600(0.09)^x[/tex]

Step-by-step explanation:

Since f(x) decreases by 9% for every one unit increase in x, it means that f(x) is an exponential decay function. An exponential function is given by:

f(x) = [tex]ab^x[/tex]; where a is the value of f(x) at x = 0, b is the multiplier and is less than 0 for a decay.

Therefore since at x = 0, f(x) = 0. Hence a = 600. Also, b = 9% = 0.09.

The function f(x) can hence be represented as:

[tex]f(x)=600(0.09)^x[/tex]

Related Questions

6. What is the approximate volume of
the cone? Use for a
T.
3cm
14 cm

Answers

If 3cm is the radius and 14cm is the height, the volume would be 131.95cm^3. In terms of pi it would be 9pi(14/3).

A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.

Answers

Answer:

13.9

Step-by-step explanation:

7² x 12² = 49 + 144 = 193

√193= 13.89

Divide the rectangle into two right triangles, like in the photo

you now have two congruent right triangles with 7ft and 12ft long legs

Use the pythagorean theorem to find the missing diagonal length (aka hypotenuse)

7^2 + 12^2 = c^2

49 + 144 = c^2

c^2 = 193

Square root both sides to get rid of the ^2

c = 13.9 ft

7 plus a number z is more than 5

Answers

Answer:

z > -2

Step-by-step explanation:

7 + z > 5

subtract 7 from each side of the equation:

z > -2

The inequality for the given phrase is z+7>5.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given phrase is "7 plus a number z is more than 5".

Here, 7 plus a number z is

7+z

The obtained sum is more than 5.

That, is z+7>5

Subtract 7 on both the sides of an inequality, we get

z+7-7>5-7

z>-2

Therefore, the inequality is z+7>5.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

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Solve the system of equations without graphing. Show your reasoning.

Literally help.​

Answers

Answer:

- x+2y= - 4

2y= - x - 4

Y=x-4/2

Y=x-2

Now, 2nd equation

4x+3y=5

4x+3.x-2=5

4x+3x-2=5

7x-2=5

7x=5+2

x=5+2/7

x=7/7

x=1

Now, continue with 1st equation

y=x-2

y=1-2

y=1

Therefore x=1

And

y=1

Which statment explains how the lines x+y=2 and y=x+4 are related?​

Answers

Answer:

they are perpendicular

Step-by-step explanation :

If you graph both equations you will see that they Intersect with each other.

PLEASE HELP ME WITH THIS HURRY!

Answers

The answer is letter d

The measure of angle 1 is 39º. What is the measure of the angle
adjacent to angle 1? Explain.

Answers

Answer:

[tex]180 - 39 = 141[/tex]

141° is the answer

Can someone help me please

Answers

Answer:

x =4

Step-by-step explanation:

Vertically Opposite Angles,

[tex]12x - 8 = 40 \\ 12x = 40 + 8 \\ 12x = 48 \\ x = 48 \div 12 \\ = 4[/tex]

In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangle ABCD to the nearest integer.​

Answers

Answer:

sin (55)  =  DE / AD

AD  =  DE / sin (55)

AD  =  8 / sin (55)

And  

tan (55) = DC / AD

tan (55)  = DC / [8 / sin (55) ]

DC  =  8 tan (55) / sin (55)    

AD * DC  =

[8 /sin (55) ]  [ 8 tan (55) / sin (55) ]   =    136 units^2  

Step-by-step explanation:

f

hshsvsjsn svshsismsnsbs​

Answers

Answer:

C. 5.44

Step-by-step explanation:

i’ll give brainliest!

Answers

Answer:

C

Step-by-step explanation:

i think the answer is c

What is the value of x?​

Answers

Answer:

63 degrees

Step-by-step explanation:

In ΔUVW, the measure of ∠W=90°, the measure of ∠U=27°, and WU = 9.7 feet. Find the length of VW to the nearest tenth of a foot.

Answers

Answer:

32.2

Step-by-step explanation:

esta es la respuesta correcta

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ELMS_20-21_REM_7th_M_RP.1
Signed in as.
Terrance Kollie
Question 2
II Pause
Q Zoom
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Tools
ABE
Question 2
Robyn received a rush order from a customer who needs the order filled as soon as possible. The customer needs 5 53 pounds of roofing coil. The factory produces 1 pound of coil every
lang does it take the factory to complete the order?
3
of an hour. How
А
2 hours and 42 minutes
B
3 hours and 45 minutes
4 hours and 3 minutes
4 hours and 5 minutes
Oxual
Illuminate Education, Inc.
9:28​

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Which of the following is true?

A. 3 gram > 3000 kilograms
B. 3000 grams = 3 kilograms
C. 300 grams > 30 kilograms
D .30 grams < 0.003 kilograms

Answers

Answer: B

Because 3 kilograms = 3,000 and 3,000 kilograms = 3,000 grams

What is an equation of a circle whose center is (1,4) and diameter is 10?

Question options:

x2 − 2x + y2 − 8y = 83


x2 − 2x + y2 − 8y = 8


x2 + 2x + y2 + 8y = 8


x2 + 2x + y2 + 8y = 83

Answers

Answer:

[tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]

Step-by-step explanation:

Standard form for a circle is:

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]      (h, k) is the center    r is the radius

[tex](x - 1)^{2} + (y - 4)^{2} = 5^{2} \\x^{2} - 2x + 1 +y^{2} - 8y + 16 = 25\\x^{2} - 2x + y^{2} - 8y = 8[/tex][tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]

can anybody finish this?

Answers

Answer:

No Thanks, and like you said when I asked my question "the answers above i need points"

(Also please stop doing this to people, it's rude and i'm doing this to you so you see this.)

Lauren woke up one morning and saw frost on the windows. It was -13°C outside. Later in the day, the frost melted. At 3 p.m. it was 4°C outside. Which expression represents the difference between the two temperatures?

Answers

Answer:

morning  =  -13°C

afternoon = 4°C

so,

x = (morning - afternoon)

I hope this helps a little bit.

QUESTION IN THE PHOTO! NO WRONG ANSWERS PLS

Answers

Answer:

your answer should be 2

Step-by-step explanation:

hope it helps, have a wonderful day :)

What is the area of a rectangle? Pls help and I will mark brainliest!

Answers

Answer:

A. 168 units²

Step-by-step explanation:

Find the missing side of the rectangle, use Pythagorean:

b² = 25² - 7² = 576b = √576 = 24 units

Find area of rectangle:

A = abA = 7*24 = 168 units²

Correct choice is A

If "a" is a positive integer, what is the mean of the data below?
{2a, 3a, 3a, 8a}

Answers

Answer:

mean = sum of all element / number of elements

mean = (2a + 3a +3a +8a) / 4

mean = 16a/4

mean =4a

Step-by-step explanation:

why does the acute triangle go under polygon

Answers

an acute triangle has all angles measuring less than 90°. note: it is possible for an acute triangle to also be scalene, isosceles, or equilateral

First, consider the number of moves as a
sequence: 1, 3, 7, 15, 31, 63,
.
To find a pattern, look at the differences between
consecutive terms. These differences also form a
sequence.
3-1 = 2,7 – 3 = 4, ...
Complete the sequence:
2, 4, ___, ___, ____

Answers

Answer:

The sequence is 2, 4, 8, 16, 32

The next answer is 2

Step-by-step explanation:

The missing terms of the required sequence are 8, 16 and 32 respectively.

What is a geometric sequence?

In a geometric sequence, the ratio of two consecutive terms are always equal.

The general expression for the nth term is given as aₙ = a₁ × rⁿ⁻¹ .

The sum of n terms for this sequence is given as Sₙ = (rⁿ - 1)/(r - 1)

The given sequence is 1, 3, 7, 15, 31, 63...

Then, the sequence formed by subtracting the consecutive terms are given as,

3 - 1, 7 - 3, 15 - 7, 31 - 15, 63 - 31 .....

Which can be rewritten as,

2, 4, 8, 16, 32......

It is a geometric sequence as ratio of the consecutive terms are equal,

4/2 = 8/4 = 16/8

Hence, the required sequence is a geometric sequence found as 2, 4, 8, 16, 32......

To know more about geometric sequence click on,

https://brainly.com/question/12687794

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HELP ME PLZ !!!!!!!!!!!

Answers

AD=CD, the proof of side angle side in congruent triangles

What is the total surface area??Please help me I’m so confused i have a test tomorrow

Answers

214 is the correct answer

Answer:

216 :)

Step-by-step explanation:

There are five sides in total. To find the total surface area we have to find the area of each side.

Let's start off easy with the rectangle at the base. The width and length are 7 and 6, which gives us an area of 42.

The rectangle with dimensions of 8 as the length and 7 as the width gives us an area of 56.

The rectangle with a length of 10 and a width of 7 gives us 70 as an area.

The two triangles are congruent, so all we have to do is find the area of one and multiply it by two. The formula for an area of a triangle is 1/2(bxh)-or the two legs multiplied by each other and then divided by 2. The length of one of the legs is 8, and the other is 6. That gives us 48, which we will then divide by 2 to give us a total area of 24. Now we have to multiply that by two because there are two triangle sides on this figure and they are congruent. That gives us a product of 48.

Now we add up all the areas of each side:

42 + 56 + 70 + 48 = 216

Joshua drinks 8 cups of water a day. The recommended daily amount is giving in fluid ounces. How many food ounces of water does he drink each day?

Answers

Answer:

64 fluid acids=8 cups

Step-by-step explanation:

64 fluid = 8
Hope this helps

A rectangular prism has a length of 2 1/2 meters, a width of a moters, and a height of 2 1/4 meters,
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal,ima abt to get my a.s whooped so please help

Answers

Answer:

53

Step-by-step explanation:

Answer:

answer is 22 1/2 or in decimal form it would be 22.5

Step-by-step explanation:

Mr. Ramirez baked 24 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Mr. Ramirez bake?

Answers

Answer:

20 oatmeal cookies

Step-by-step explanation:

5/6 is the same as 20/24, thus 20.

20 cookies 5/6 of 24 is 20

Find the triangle area. Drawing not to scale

Answers

Answer:

35

Step-by-step explanation:

https://www.omnicalculator.com/math/triangle-area?c=USD&v=given:0,hide:0,a1:10!inch,h1:7!inch

btw this is a triangle calculator use it instead of this dog dump of a app

if the domain of the function f(x)=2x^2-8 is {-2,3,5}, then the range is

Answers

Answer is in the file below

tinyurl.com/wpazsebu

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