Answer
[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]
Explanation
Given
[tex]a = 11500[/tex] -- initial
[tex]b = 3[/tex] ---- every 14 years
Required
The exponential equation
The exponential equation is:
[tex]y =ab^T[/tex]
First, calculate the yearly rate.
Triples every 14 years, implies that:
[tex]b = 3[/tex] -- the rate
[tex]T=\frac{t}{14}[/tex] ---- time
So:
[tex]y =ab^t[/tex]
[tex]y = 11500 * (3)^{\frac{t}{14}}[/tex]
Hence:
[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]
Amber coaches soccer and volleyball. She coaches both sports for a total of 10 hours each day. The soccer practice lasts 1 hour more than twice as long as the volleyball practice. Part A: Write a system of equations to model the situation. Use v for the number of hours Amber coaches volleyball in a day and s for the number of hours she coaches soccer. ( Part B: How many hours each day does Amber spend coaching each sport? Show your work. ( Will Mark Brainliest. Only answer if your 100% sure. This is very important).
Step-by-step explanation:
part a: Total is 10 hours
soccer: 2v + 1
volleyball: v
part b: 10 = 2v + 1
-2v = -10 +1
-2v = -9
v = -9 ÷ -2
v = 4.5
volleyball is 4.5 hours
if soccer is one hour longer than volleyball then soccer is 5.5 hours
4.5 + 5.5 is a total of 10 hours :)
I need to know how to solve for this.
9514 1404 393
Answer:
use the rules of exponents
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
__
Applying these to the left-side expression, we can simplify it so it looks like the right side expression.
[tex]\dfrac{(12x^5)(2x^7)}{(2x^2)^3}=\dfrac{12\cdot2x^{5+7}}{2^3x^{2\cdot3}}=\dfrac{24x^{12}}{8x^6}\\\\=3x^{12-6}=\boxed{3x^6}[/tex]
Juan buys peaches and grapefruit at the store. He writes the equations shown to model the relationship between the number of pounds of peaches, p, and the number of pounds of grapefruit, g, that he buys.
p+g=2.5
1.58p+1.09g=3.46
Answer:
Answer: 2.5
Step-by-step explanation:
Juan buys peaches and grapefruit at the store. He writes the equations shown to model the relationship between the number
pounds of peaches, p, and the number of pounds of grapefruit, g, that he buys.
p + g= 2.51.58p + 1. 09g = 3. 46
What is the total number of pounds of peaches and grapefruit that Juan buys?
If the sum of six consecutive odd integers is 480, what is the smallest of the six integers
Answer:
90
Step-by-step explanation:
Answer:
191
Step-by-step explanation:
a triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 2:11. what are the measures of those two angles?
Answer:
2+11=13
180-50=130
130÷13=10
2×10=20
11×10=110
2=20°
11=110°
A pitcher of mocktail contains 8 cups of pineapple juice and 2 cups of orange juice. How many cups of orange juice will be required to make a mocktail with 12 cups of pineapple juice?
Step-by-step explanation:
pineapple juice =8cups
orange juice =2cupspineapple juice =122x12=24
8×12=96
:. 96+24=120
moctail=120
.
Sin(2/3+3/5) help please
Answer:
Answer ≈ 0.022
Step-by-step explanation:
For these types of questions with sin cos or tan, you will need to use a calculator. There is no other way as far as I have seen on the internet to solve this type of problem. Anyways, what you have to do is take your calculator and put in:
sin
sin(2/3+3/5) exactly like that
and the calculator will give this to you:
0.022105703 which you can then round up.
I hope this answer helped you out. If it did I would greatly appreciate it if you could check out my channel The Game Rater(or Nitro Studios the name might change). I would really appreciate that. Thanks.
-Nitroid444How do I solve this?
9514 1404 393
Answer:
b=-9
intersection point (3, -3)
Step-by-step explanation:
There are a couple of ways to do this. The method that does not involve calculus is to set the two equations equal and find 'b' such that there is exactly one solution.
x^2 -4x = y = 2x +b
In standard form, this is ...
x^2 -6x -b = 0 . . . . . . . we call this the "combined quadratic"
This will have one solution when the discriminant is zero. You may recall that the discriminant of quadratic ax^2 +bx +c is d = (b^2-4ac). We want ...
d = (-6)^2 -4(1)(-b) = 0
36 +4b = 0 . . . . . simplify
b = -36/4 = -9 . . . solve for b
Then the linear equation is ...
y = 2x -9
__
If the discriminant is zero, the solution to the "combined quadratic" is ...
x = -b/(2a) . . . . . . . . with a, b, c from the quadratic form (not y-intercept)
x = -(-6)/(2(1)) = 3
And the point of intersection of the line and the parabola is ...
y = 2(3) -9 = -3 ⇒ (x, y) = (3, -3)
__
The graph is attached.
I need help with this. (15 points)
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Answer:
min: $65
per hour: $7.50
Step-by-step explanation:
The equation tells you Monica expects her pay to be $65 when she works 0 hours. That will be the minimum.
y = 7.5·0 +65 = 65 . . . for 0 hours
It also tells you the pay is expected to go up by $7.50 if she works 1 hour. That will be her hourly rate.
y = 7.5·1 +65 = 72.5 . . . for 1 hour; an increase of 7.50 over the minimum.
Minimum pay: $65
plus $7.50 per hour
100 POINTS!!!! CAN ANYONE PLEASE HELP ME OUT WITH THIS??!!
If 20 out of 25 students in a P.E. class are boys, what percent of the class is made up of boys?
Simplify the variable expression below as much as possible.
(4.5)x+ 3x + 2
Answer:
23x +2
Step-by-step explanation:
20x + 3x + 2 = 23x + 2, also close ur curtains ouch
Based on the information given, the value of the expression is 23x + 2.
From the information given, the expression that was given is (4.5)x+ 3x + 2. This simply means that one has to multiply the values in the bracket first and solve it. This will be:
= (4 × 5)x + 3x + 2
= 20x + 3x + 2
= 23x + 2
Learn more about equations on:
https://brainly.com/question/13802812
Find the volume of a cone with a base diameter of 8 cm and a height of 6 cm.
The volume of a cone is equal to 13 times the area of the base πr2 π r 2 times the height h . Substitute the values of the radius r=6 and height h=8 into the formula to find the volume of the cone. Pi π is approximately equal to 3.14
guys help this makes no sense you will get lots of points for a real answer
For the following right triangle, find the side length x, Round your answer to the nearest hundredth.
12
x
16
Answer:
10.6. (3s.f.)
Step-by-step explanation:
There are 6 softball teams. There are a total of 48 children on all the teams. There are an equal number of children on each team.
Choose the number sentence which represents the number of children on each team.
Answer:
I divide 48/6=8 that is the only one that make sense for me becuase 6x8=48
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation of the piecewise function represented in the graph to its corresponding piece of the domain.
Answer:
one is 3-x
two is 1
three is x
four is 5-x
hope it helps :)
Answer:
1: 3-x
2: 1
3: x
4: 5-x
Step-by-step explanation:
Hope this helped
Which key features of the graph of two parallel lines are the same and which as different?
The graph for the function f(x) is shown. Which of the following ordered pairs are a
solution to the function?
A) (-1,0)
B) (0,-5)
C) (-8,1)
D) (5,0)
E) (3,-8)
20 points! Please help though-
Answer:
t = 7
Step-by-step explanation:
t( 5 /7 ) = 5
Hope it helped.
Answer:
7
Step-by-step explanation:
Well its worth 5 but its an easy question so its nothing really.
Well isolate the variable by performing inverse operations which in this case is diving 5 by 5/7 which is 7.
t=7
Solve for P.
S=A+1/2PL
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Answer:
(b) P = 2(S -A) ÷ L
Step-by-step explanation:
Undo what is done to P.
[tex]S=A+\dfrac{1}{2}PL\qquad\text{given}\\\\S-A = \dfrac{1}{2}PL\qquad\text{subtract $A$}\\\\\dfrac{2}{L}(S-A)=P \qquad\text{multiply by $\dfrac{2}{L}$}\\\\\boxed{P=\dfrac{2(S-A)}{L}}[/tex]
GIVE U BRAINLYIST IF U GET CORRECT ANSWER AND EXTRA POINTS
Answer:
Point N
Step-by-step explanation:
WILL GIVE BRAINLIEST!
Four people are running for sheriff. A survey was randomly conducted in the countyand the results were recorded in the graphIf there are approximately 5,000 registered voters, how many more volers would be expected to vote for Ben than for Scott?
A.) 4
B.) 210
C.)500
D.) 400
Answer:
I'm not sure how to answer this.
Step-by-step explanation:
Is this the full question? The context seems to be missing something. Who are Ben and Scott and who are the other 2 candidates?
Maybe post another question and rephrase it.
Two numbers are missing from this table. How can the missing numbers be found?
The diameter of the pizza is 16 inches therefore the area of the pizza is what rounded to the nearest whole number
Answer:
201
Step-by-step explanation:
pi times r^2
r=8
8^2 times pi
=201
Answer:201
Step-by-step explanation:
The RxR R=radius equals 64x3.14 = 200.96 rounded to the nearest whole number is 201
Input
Output
What is the do
mapping?
-3
4
O {x|x= -
O {yly=-
O {x|x=-
O {yly=
2.
ONY
2
6.
Answer:
and disgusting and annoying things to do it
About how much cardboard is needed to make the inner tube for a roll of paper if the tube has a radius of 2.25 cm and is 24 cm long?
382 cm
339 cm?
679 cm
371 cm
Step-by-step explanation:
Cardboard needed to make tube =
Circumference of Circle base (remember the base is hollow therefore there is no area needed.) x Length of Tube
given r = 2.25cm
L = 24cm
Cardboard needed =
[tex]2\pi \: rl = \\ 2\pi(2.25)(24) \\ = 2\pi(54) \\ = 108\pi {cm}^{2} \\ = 339 {cm}^{2} [/tex]
The cardboard is needed to make the inner tube for a roll of paper if the tube has a radius of 2.25 cm and is 24 cm long will be 339 cm². Option B is correct.
What is surface area ?The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
The cardboard is needed to make the inner tube for a roll of paper is found as;
Surface area of cardboard;
A=2πRL
A=2×3.14×(2.25)(24)
A=339 cm².
Hence,the cardboard is needed to make the inner tube for a roll of paper will be, 339 cm².
To learn more about the surface area, refer to the link;
brainly.com/question/2835293
#SPJ2
5/6 plus blank equals to 5/2
Answer:
[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
let blank be O
[tex]\frac{5}{6} +O=\frac{5}{2} \\[/tex]
[tex]O=\frac{5}{2} -\frac{5}{6} =\frac{15}{6} -\frac{5}{6} =\frac{10}{6} =\frac{5}{3}[/tex]
WILL MAKE BRAINLIEST
write the slope intercept form of the equation of each line
Answer:
15. C
16. A
Step-by-step explanation:
Good luck brotha!
THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! AND PLS PUT AN EXPLANATION!! THANK YOU
Answer:
Step-by-step explanation:
6) diameter = 2 cm
Radius is half of diameter
r = 2 /2 = 1 cm
Area of circle = πr² {Plugin r = 1 in the formula}
= π*1²
= π cm²
7) r = 7.4 cm
Area = πr²
= π * 7.4*7.4
= 54.76π cm²