Answer:
[tex]y=8(5)^x[/tex]
Step-by-step explanation:
We want an exponential function that goes through the two points (0, 8) and (2, 200).
Since a point is (0, 8), this means that y = 8 when x = 0. Therefore:
[tex]8=a(b)^0[/tex]
Simplify:
[tex]a=8[/tex]
So we now have:
[tex]y = 8( b )^x[/tex]
Likewise, the point (2, 200) tells us that y = 200 when x = 2. Therefore:
[tex]200=8(b)^2[/tex]
Solve for b. Dividing both sides by 8 yields:
[tex]b^2=25[/tex]
Thus:
[tex]b=5[/tex]
Hence, our exponential function is:
[tex]y=8(5)^x[/tex]
Answer:
[tex]y = 8(5) {}^{x} [/tex]
Step-by-step explanation:
The normal exponential function is in form
[tex]y = ab {}^{x} [/tex]
let plug in 0,8
[tex]8 = ab {}^{0} [/tex]
b^0=1
so
[tex]8 = a \times 1 = \: \: \: \: a = 8[/tex]
So so far our equation is
[tex]y = 8b {}^{x} [/tex]
So now let plug in 2,200
[tex]200 = 8b {}^{2} [/tex]
Divide 8 by both sides and we get
[tex]25 = b {}^{2} [/tex]
[tex] \sqrt{25} [/tex]
Which equal 5 so b equal 5. So our equation is
[tex]y = 8(5) {}^{x} [/tex]
ahhh help me with this one pLeAsE
Distance from the tip to the middle of the turbine = Radius of the circular turbine
Radius of the circular turbine = 32 meters
Circumference of the circular turbine = distance the turbine will travel in one revolution
We know that :
[tex]\tt \: \color{hotpink}circumference \: of \: a \: circle \color{plum}= 2\pi r[/tex]
Circumference of the circular turbine :
[tex] = \tt2 \times \frac{22}{7} \times 32 [/tex]
[tex] = \tt\frac{2 \times 22}{7} \times 32[/tex]
[tex] =\tt \frac{44}{7} \times 32[/tex]
[tex] =\tt \frac{44 \times 32}{7} [/tex]
[tex] =\tt \frac{1408}{7} [/tex]
[tex]\color{plum} =\tt 201.06 \: m[/tex]
▪︎201.06 m can be roughly rounded off to 200.96.
▪︎Thus, the distance the turbine will cover in one revolution = 200.96 m
▪︎Therefore, the correct option is (A) 200.96
This circle has a radius of 12 millimeters and is divided into 8 equal sections. In terms of pi,
what is the area of 1 section of this circle?
Answer:
A = 18π mm²Step-by-step explanation:
Area of a circle: [tex]A_\circ =\pi r^2[/tex] where r is a radius of this circle
8 equal section means area of one is: [tex]A=\dfrac{\pi r^2}{8\ }[/tex]
r = 12 mm
[tex]A=\dfrac{\pi\cdot 12^2}{8\ }=\dfrac{144\pi}{8}=18\pi[/tex]
if a number has z positive integer factors then y and 2z integer factors. true/false
Factors are simply numbers that can divide another number without leaving a remainder.
The statement that 2z is an integer factor of y is true
The statement is given as:
The factor of number y is given as z.
From the above statement, we have:
If z is a factor of y, then 2z would also be a factor of y
So we can conclude that, the claim that 2z is a factor of y is true
Read more about factors at:
https://brainly.com/question/19386208
What is the circumcenter?
The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.
Answer:
it's byou can go with it.......
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
because I think I'm right
Answer:
a^2 + b^2 = c^2
5^2 + b^2= 11^2
There are 12 donuts in one dozen donuts. Which equation could be used to find the total (T) number of donuts (d) in 6 dozen?
Answer:d*6=t
Step-by-step explanation:
Solve the simultaneous equations.
Please help.
Answer:
the answer is x= 5 and y = 1.5
Here we have been given with two equations and we will solve them by elimination by substitution method inorder to get the value of x and y.
5x - 4y = 19 (Equation No 1)x + 2y = 8 (Equation No 2)★ From Equation No 2 :-
>> x + 2y = 8
>> x = 8 - 2y
★ In Equation No 1 :-
Substituting here the value of x which we got above as (8 - 2y).
>> 5x - 4y = 19
>> 5 (8 - 2y) - 4y = 19
>> 40 - 10y - 4y = 19
>> 40 - 14y = 19
>> -14y = 19 - 40
>> -14y = -21
>> 14y = 21
>> y = 21 / 14
>> y = 1.5
★ Finding out value of x :-
>> x = 8 - 2y
>> x = 8 - 2 (1.5)
>> x = 8 - 2 × 1.5
>> x = 8 - 3
>> x = 5
What is 1.75 kilometres as a fraction of 700 metres?
Give your answer in its simplest form
Answer:
5/2
Step-by-step explanation:
1000m = 1km
1.75km = 1750m
1750 / 700 = 5/2
Under her cell phone plan, Sofia pays a flat cost of $58.50 per month and $4 per gigabyte. She wants to keep her bill at $76.50 per month. Write and solve an equation that can be used to determine gg, the number of gigabytes of data Sofia can use while staying within her budget.
Answer:
To stay within budget, she must use 4.5 gigabytes.
Step-by-step explanation:
Giving the following information:
Under her cell phone plan, Sofia pays a flat cost of $58.50 per month and $4 per gigabyte. She wants to keep her bill at $76.50 per month.
First, we need to establish the total cost formula:
Total cost= 58.5 + 4*x
x= number of gigabytes
Now, we isolate x:
76.5= 58.5 + 4x
18/4= x
4.5= x
To stay within budget, she must use 4.5 gigabytes.
The odds of winning a teddy bear are 5:8. The probability of winning a framed picture is 43%. For which do you have a better chance of winning?
Answer:
I'd say you had a better chance going 5:8
Teddy bear have a better chance of winning
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The odds of winning a teddy bear are 5:8.
The probability of winning a framed picture is 43%.
We need to find which have a better chance of winning
Winning a teddy bear are 5:8
5/8
0.625×100=62.5
The odds of winning a teddy bear is 62.5%
The probability of winning a framed picture is 43%
The probability of winning teddy bear is greater than the probability of winning a framed picture
Hence, teddy bear have a better chance of winning
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
Imagine a clock face. The x-axis passes through the numbers 3 and 9. The y-axis passes
through the numbers 12 and 6.
When it is 5:00 p.m., the hour hand points at the number 5. If the hour hand is reflected
across the x-axis, what number will it point at?
Answer:
8
Step-by-step explanation:
i did that answer and i got it right
Using the graph, determine the coordinates of the y intercept
Answer:
The y intercept is 5
Step-by-step explanation:
Because the line goes through 5 on the y axis
Find the value of x
in the figure below
Answer:
x = 29
Step-by-step explanation:
I think this because they give you 78 degrees. The angle across from it (3x - 9) must equal 78 degrees as well. So solve as (3x - 9) = 78. 78 + 9 is 87. 87 divided by 3 is 29.
Hope it helps and is correct!
what is the slope of (4,6) and (-6,2)
Answer:
2/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-6)/(-6-4)
m=-4/-10
simplify
m=2/5
Answer:
Step-by-step explanation:
Slope is m=(y2-y1)/(x2-x1)
m=(2-6)/(-6-4)
m=-4/-10
m=2/5
..........................
Answer:
x = 0.954
Step-by-step explanation:
We apply pythagorean to find x
(4-x)² = 1.2² + 2.8²
(4-x)² = 9.28
✓(4-x)² = ✓(9.28)²
4 - x = 3.046
- x = 3.046 - 4
- x = -0.954
x = 0.954
(Please heart and rate if you find it helpful, it's a motivation for me to help more people)
Look at this set of ordered pairs:
(15,4)
(2, 1)
(20, 16)
(13, 14)
Is this relation a function?
yes
no
O Yes
Ο O No
Answer:
Yes
Step-by-step explanation:
function
A set of ordered pairs where each first element is paired with one and only one second element and no element in either pair is without a partner.
Solve this x²- 3x²- 9x + 27
A. (x + 1)(x - 4)(x + 2)
B. (x + 3)(x - 2)(x + 1)
C. (x - 3)(x + 3)(x - 3)
D. (x - 1)(x + 4)(x - 2)
Answer:
C.
Step-by-step explanation:
I think the first term in the question should be x^3.
It is C because if we multiply the second numbers in the parentheses, -3 * +3 * -3 = + 27.
Find the slope of the line that passes through the points (2,-20) and (1,-20).
Answer:
[tex]\displaystyle m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, -20)
Point (1, -20)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-20+20}{1-2}[/tex][Fraction] Subtract/Add: [tex]\displaystyle m=\frac{0}{-1}[/tex][Fraction] Divide: [tex]\displaystyle m=0[/tex]Answer:
(x', y') =(2, - 20)
(x",y") =(1, - 20)
slope = y"-y'/x" - x'
= - 20-(-20)/1-2
= - 20+20/ 1-2
= 0/-1
= 0
hope it helps
Someone help please and please make sure the answer is right because I’m already failing!!!
Answer:
The answer is 8.......!!
Triangle ABC is an isosceles with a base AC. The base angles are 60 degrees. Find the length of the base and the length of the altitude from the vertex angle. The length of each leg is 5
Answer:
base =5 because all angles=60, so an equilateral triangle
height=4.33
Step-by-step explanation:
height^2+1/2(5)^2=5^2
height^2+6.25=25
height^2=18.75
height=4.33
Do a + a + a + a and 4a a have the same value for any value of ? Explain how you know.
To determine whether two cylinders contain the same volume of water, each ... markers have been set up to determine the number of miles run by each participant ... each month her loan value could be modeled by the expression 18,000(0.98) ... Explain in words how you know if a solution to a quadratic equation is complex. The expression can be rewritten as 5x+2=x+x+x+x+x+1+1 . ... Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) ... Explain your answer. ... Consider the first expression for any non-zero values of the variable. ... *See complete details for Better Score Guarantee.
Which expression is equivalent -6(-2/3+2x0
1. -4-12x
2. -4+2x
3. 4-12x
4. 4+12x
Answer:
3
Step-by-step explanation:
Answer:
Number 3
Step-by-step explanation:
-6( [tex]\frac{-2}{3}[/tex] + 2x) [distribute -6 to [tex]\frac{-2}{3}[/tex] and 2x]
= (-6 × [tex]\frac{-2}{3}[/tex]) + (-6 × 2x)
= (-6 × [tex]\frac{-1}{3}[/tex] × 2) + (-12x)
= (2 × 2) - 12x
= 4 - 12x
During a sale, a store offered a 15% discount on a TV that originally sold for $420. After the sale, the discounted price of the TV was marked up by 15%. To the nearest whole number, what percent of the original price was the price after markup?
Answer:
Step-by-step explanation:
Your answer
303.45 $
Mark it as Brainlist. Follow me for more answer.
Calculate the area of this shape made up from a square and a parallelogram.
5 cm
3cm
3cm. x 5 cm. = 15 cm. ur we
come
Plz tell me someone know how to do this!!
I'll mark brainliest
Answer:
It would be the second option
Step-by-step explanation:
z:28 is the ratio of the shorter triangle's side to the larger triangle's side, so is 27:45.
Answer:
number 2 please mark brainlist!!!!
Step-by-step explanation:
Graph the linear equation y=2x-1.
Answer:
https://youtu.be/R0A-fEUWv1Y
Step-by-step explanation: I found this vid just watch this I hope it helps (just copy and paste)
9 is the difference of a number n and 7 An equation that represents this word sentence is ? The solution is n=
Answer:
9=7-n
Step-by-step explanation:
Pls help!! Zoom in to see better
Answer:
15/2/(9/2-41/8)=15/2(36/8-41/8)=15/2/-5/8=60/8/-5/8=60/-5=-12
Step-by-step explanation:
plz i need help. I know this is probably easy but I need help with this!
go to desmos graphing calculator
hit the "+" button in the top left
click table
put in the x and y values
after u do that click under the blue line surrounding number 1 and type in
y1~mx1+b
after u do that look in the number 2 box there should be the word parameters
under that there will be what m and b equals
a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion