Answer: Option D.
Step-by-step explanation:
An exponential function is something like:
f(x) = A*(r)^x
Where:
A = initial amount.
r = rate of growth
x = variable.
This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"
or:
"There is a population of A animals, and it doubles each year"
Let's analyze briefly all the given options and see which one is an exponential function.
A) The water level of a tank decreases by 5 gallons every day.
This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:
y = W - 5 gal*x
B) The amount of money collected by a charity increases by $5,000 each year.
The amount collected increases $5000 each year.
Then if in year 1 they collected A.
in year 2 they collected A + $5000
in year 3 they collected A + 2*$5000
We already can see the pattern, this is a linear relation:
in year X they colected A + (X - 1)*$5000
C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
if y is the height of the tree, and x is the number of years, this can be written as:
y = 10ft + x*2ft
Again, a linear relation.
D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.
Let's define x as each "lapse" of 10 minutes that passes.
If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55
After another 10 minutes, the population decreases again.
N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2
We can see the pattern here, this can be written as
People(x) = N*(0.55)^x
This is an exponential function.
GUYS I NEED HELP WITH THIS ASAP!! PLS PLS PLS PLSSSSSS tysm to anyone who helps me. Luv y'all
One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble. Each small bubble has a radius of 5 centimeters. What is the radius of the large bubble?
find area of 1 small bubble
πr² = π × 5²
= 78.54
total area of 4 small bubble
78.54 × 4 = 314.16
total area of 4 small bubble = area of big bubble
= 314.16
find it's radius
πr² = 314.16
r² = 314.16 ÷ π
r² = 100
r = √100
r = 10
Answer:
AREA OF LARGE BUBBLE=PI×R^2
AREA OF 1 SMALL BUBBLE =PI×r^2
then area of 4 small bubble =(PI×r^2)×4
now,
area of large bubble =area of 4 small bubble
PI×R^2=4×(PI×r^2)
R= 10 cm
Simplify and then evaluate the equation
when a = 2 and b = 4.
b2 + 3(b-b2) – 2a = [?]
Help please
find the value of given expression
[tex] \sqrt{564 \times 564} [/tex]
Answer:
√(564×564)=√564²=±564
Answer:
[tex]±564.[/tex]
Step-by-step explanation:
[tex] \sqrt{564 \times 564} [/tex]
[tex] \sqrt{ {564}^{2} } [/tex]
[tex]±564.[/tex]
Which expression is equivalent to x2 + 2x + 2
a. (x + 1 - i ) (x + 1 + i)
b. (x - 1 + i) (x - 1 - i)
c. (x + 1 - i ) (x + 1 - i)
d. ( x + 2) (x + 1)
The answer is Option A.
x + 1 - i ) (x + 1 + i)
Solution:
x (x+2) +2
(x+1)² + 1
= (x + 1 - i ) (x + 1 + i)
Answer:
Step-by-step explanation:
for the expression you wrote: x2 + 2x + 2 the answer is: none
the expression you have there is: x² + 2x + 2 and the answer is: a
by expanding a:
(x + 1 - i ) (x + 1 + i) = x² + x + xi + x + 1 + i - xi - i + 1
(x + 1 - i ) (x + 1 + i) = x² + x + x + 1 + 1
(x + 1 - i ) (x + 1 + i) = x² + 2x + 2
What’s 142,000,000 written in scientific notations
Answer:
1.42 x 10^8
Step-by-step explanation:
For a number to be in scientific notation, it has to be between 1 and 10, so for it to meet that criteria, we would have to put the decimal point between the 1 and 4. The exponent is equal to the amount of numbers after the decimal point. We know that we have 2 numbers with the 4 and 2, and if you add all the 0s to that, we get 8. So the exponent will be 8. We add those two elements together, we get our answer, 1.42 x 10^8.
I hope that this helps :)
Select the correct choice below and fill in any answer boxes present in your
choice.
O A. The solution of the system is
(Type an ordered pair.)
OB. There are infinitely many solutions.
O c. There is no solution
Answer:
c
Step-by-step explanation:
What is the measure of triangle 1 (8x+1)=(5x-2)
Step-by-step explanation:
answer=-1
Here is the original
23/67
Answer:
0.343283582
HOPE IT HELPS
Use slope-intercept method help me
Answer:
y=4x+3
Step-by-step explanation:
Find the intercept - that is 3
Find the slope - that is 4
solve the equation
-3|3x+6|+2=9
Answer:
x= -0.36
firstly you need to open the brackets
-3(3x +6) + 2=9
-9x -18 + 2=9
secondly join the like terms together
-9x = 9 + 18 - 2
-9x = 25
thirdly you divide both sides by 25
-9x ÷ 25 = -0.36
x= -0.36
What is the volume of a sphere if it has a radius of 3 centimeters? (Use 3.14 for TT.)
Answer:
9.52
Step-by-step explanation:
what is the area of this polygon? please help i’ll give brainliest
9514 1404 393
Answer:
486√3 ft² ≈ 841.8 ft²
Step-by-step explanation:
The area of a regular hexagon with side length s is ...
A = (3√3)/2s²
For the side length of 18 ft, the area is ...
A = (3√3)/2(18 ft)² = 486√3 ft² ≈ 841.8 ft²
The area of a square is 81 cm2 . Find the perimeter of the square. Round to the nearest tenth and just write the numerical answer with no labels or variables.
Answer:
36
Step-by-step explanation:
9 times 4
The perimeter of a square is 100 cm. How long is one diagonal?
97 is 100% of what number
Answer:
97
Step-by-step explanation:
if something is 100% then it is itself 1 is 100% of 1 76 is 100% of 76 and so on
Find the area plz plz
Answer:
57.475 ft2
Step-by-step explanation:
12.1x9.5= 114.95
114.95/2= 57.475
Answer:
[tex]\Huge\boxed{57.475 ft^2}[/tex]
Step-by-step explanation:
Hello there!
The following figure shown is a triangle
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base and h =height
The height of the triangle is 12.1 ft and the base length is 9.5ft
Knowing this information all we have to do is plug in the values into the formula
[tex]A=\frac{12.1*9.5}{2} \\12.1*9.5=114.95\\\frac{114.95}{2} =57.475\\A=57.475[/tex]
So we can conclude that the area of the triangle is 57.475 square feet
What is 1/12 divided by 36
Answer:
link to answer
https://visualfractions.com/calculator/divide-fractions/what-is-1-12-divided-by-36-36/
Answer:
This is 0.002 but I think you mean
36 divided by 1/12=
3
A restaurant needs a block of ice that is exactly 480 cubic inches in volume.
The height of the ice block must be 10 inches.
Part A
Which of the following would be useful to help the ice seller
determine the base of the ice block?
A.
Ruler
B.
Grid paper
C.
Tape measure
D.
All of the above
Part B
What does the area of the base of the ice block need to be for the
given volume and height? Enter your answer in the box.
48
in2
Part C
What are the possible dimensions of the base of the ice block?
Drag all that could apply.
4 in. × 12 in. returned to choices list.4 in. × 12 in.
2 in. × 24 in.
8 in. × 6 in.
3 in. × 16 in.
6 in. × 9 in.
10 in. × 48 in.
Possible Dimensions of the Base
Answer:
Part a: tape measure part b: 48 and part c: 2x24, 4x12, 8x6, and 3x16
Step-by-step explanation:
let me know if it’s correct
pls help I'm confused, oh and can you also explain it. 15pts
Answer:
6
Step-by-step explanation:
This triangle is a special right triangle. In triangles with the angles 30, 60, and 90, the side opposite of the 30 degree angle will always be half the length of the hypotenuse. The hypotenuse is the longest side of a right triangle. In a 30 60 90 triangle, the long side will be equal to the short side multiplied by the squareroot of 3, but that is not needed for this problem. Since the hypotenuse is 12, the side opposite of the 30 degree angle, labeled "s h o r t" will be half of 12. Half of 12 is equal to 6, therefore the short side will be equal to 6.
lmk if i made a mistake, hope this helps :)
Type the expression that results from the following series of steps:
Start with y, add 7, multiply by 3, then subtract 6.
Answer:
3y-4
Step-by-step explanation:
y+7×3-3
(y×3)+7-3
3y-4
Help look at the pic
Answer:
b = -6.307 or -11.693
Step-by-step explanation:
[tex]b^{2} +9b +13\\[/tex]
This can't be factored so you need to use the quadratic formula which is
-b ± [tex]\frac{\sqrt{b^{2} -4ac}}{2a}[/tex]
Plugging the numbers from the equation in, it's
-(9) ± [tex]\frac{\sqrt{(9)^{2}-4(1)(13) } }{2(1)}[/tex]
This simplifies down to b = -6.307 or -11.693.
These are both real solutions.
Answer:
b = -6.307 or -11.693
Step-by-step explanation:
hope it helps credits to first guy tho
ridiculous a s s s questions
Brainliest i really need your help with this quick
Answer: 5 triangles to 8 shapes
5:8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Select the correct answer from each drop-down menu. Consider the end behavior of the function g(x) = |x-21 – 3. As x approaches negative infinity, f(x) approaches As x approaches positive infinity, 4(x) approaches v infinity. v infinity.
(the choices for each box is negative or positive)
Answer:
negative
positive
Step-by-step explanation:
Answer: positive
positive
Step-by-step explanation:
What is an equation of the line that passes through the points (-6,-5) and (-3,0)?put your answer in fully reduced form
Step-by-step explanation:
The equation is y = -3x + 6.
Answer:
3y = 5x + 15
Step-by-step explanation:
Slope = Change in y-cordinates
---------------------------------
Change in x-cordinates
= 0 - (-5)/-3 - (-6)
= 5/3
Using point (-3,0)
y - y1 = m(x - x1)
y - 0 = 5/3 (x - (-3))
y = 5/3 (x + 3)
Expand the bracket
y = 5x/3 + 15/3
Multiply through by 3
3y = 5x + 15
There are 48 students in the Kennedy Middle School student council. The number of 8th graders is 12 fewer than three times the number of 7th graders.
Which method would be the best to ensure they select the “most talented” soccer players? Answer choices are in the pic.
Answer:
the first choice
Step-by-step explanation:
the most talented ones are at the top of the list.
Help please thank you ASAP
Graph each equation. Determine the solution of the system of equations. 0 Use the graphing tool to graph the system.
Answer:
First one is 4 and the second one is 0
Step-by-step explanation: