Answer:
C.5
Step-by-step explanation:
Fiona:
After t trials, she would have:
[tex]f(t) = 4.127(1.468)^t[/tex]
Karl:
After t trials, he would have:
[tex]k(t) = 0.897(1.992)^t[/tex]
At what number of trials would Fiona and Karl have the same number of beans?
This is t for which:
[tex]f(t) = k(t)[/tex]
So
[tex]4.127(1.468)^t = 0.897(1.992)^t[/tex]
[tex]0.897(1.992)^t = 4.127(1.468)^t[/tex]
[tex]\frac{(1.992)^t}{(1.468)^t} = \frac{4.127}{0.897}[/tex]
[tex](\frac{1.992}{1.468})^t = 4.6[/tex]
[tex](1.35695)^t = 4.6[/tex]
[tex]\log{(1.35695)^t} = \log{4.6}[/tex]
[tex]t\log{1.35695} = \log{4.6}[/tex]
[tex]t = \frac{\log{4.6}}{\log{1.35695}}[/tex]
[tex]t = 5[/tex]
So the correct answer is 5 trials, option C.
A square garden has an area of 400 square feet. Each side of the garden is (x-10) feet in length.
Write an equation that represents the AREA of the garden
Find the value of x using the square root method
What is the length of the side of the garden?
Answer:
400 = (x - 10)²
x² -20x -300 = 0
x = 30 and x = -10
Length side of the garden = 20 feet
Step-by-step explanation:
Given:
Area of square garden = 400 square feet
Length side of the garden = (x - 10) feet
Find:
Length side of the garden
Computation:
Area of square = side²
Area of square garden = Length side of the garden²
400 = (x - 10)²
400 = x² -20x + 100
x² -20x -300 = 0
x² -30x + 10x -300 = 0
x(x - 30) + 10(x - 30) = 0
(x - 30)(x + 10) = 0
So,
x = 30 and x = -10
Use x = 30 positive number
Length side of the garden = (x - 10) feet
Length side of the garden = (30 - 10) feet
Length side of the garden = 20 feet
Does anybody know the answer to this question Im having lots of problems
This is the same as writing [tex]3^9[/tex]
====================================================
How to get that answer:
The lowest height is 3^8, and the highest point is 3 times that value.
We can think of that second "3" as really 3^1. This is because x^1 = x for any real number.
Multiply 3^8 and 3^1 using the rule that a^b*a^c = a^(b+c). We add the exponents together.
Therefore, 3^8*3^1 = 3^(8+1) = 3^9
Side notes:
3^8 = 6,5613^9 = 19,683Answer:
3^9
Step-by-step explanation:
3 * 3^8
3^1 * 3^8
3^1+8
= 3^9
Find the sum of x^2+3x and
-2x^2+9x+5
Answer: The answer is -x^2 + 12x + 5
Solve the equation plz!
8(3x−2)/9 = 13/7
Step-by-step explanation:
(3x-2) =13/7x9/8
3x =117/56+2
3x = 117+112/56
x =229/56x3
x= 229/168
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
Answer:
x=229/168
Step-by-step explanation:
[tex]\frac{8(3x-2)}{9} =\frac{13}{7}\\or, 56(3x-2) =117\\Or,168x-112=117\\Or, 168x=229\\Or, x=\frac{229}{168} \\[/tex]
Math please help I will be happy :)
Answer:
89
Step-by-step explanation:
mark it as the brainliest
Is the question below a statistical question?
Do teachers make more money than nurses?
Yes or no please answer !!
Answer:
no
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
I NEED HELP PLSS ITS LIKE 200 POINTS
Answer:
y=-3/2x+3
Step-by-step explanation:
(0,3) and (2,0) tell us that the y intercept is 3 because at x = 0, y = 3.
This leaves the first and last choice only.
We can calculate the slope by 0-3 and 2-0, so -3/2 is the slope
Help me please I need help
Answer:
0.47 (Yes - This is a terminating decimal)
0.16666... (Yes - This is a repeating decimal)
0.5473... (No - This is a decimal that neither terminates nor repeates)
0.462 (Yes - This is a terminating decimal)
Step-by-step explanation:
A terminating decimal and a repeating decimal are both types of decimals that can be written as fractions. However, if the decimal is neither of these types, it cannot be written as a fraction.
Three friends will run race. If three friends no ties, in how many distinct order can these 3 friends finish the race?
===========================================================
Explanation:
Let's name the friends A, B, C
If person A is first, then B or C could be second and third.
So we have ABC or ACB as two possible outcomes.
If B is first, then either A is second or C is second. Meaning we have BAC or BCA.
If C is first, then we have CAB or CBA
Overall here are the 6 different ways to have the runners finish
ABC ... A is firstACB ... A is firstBAC ... B is firstBCA ... B is firstCAB ... C is firstCBA ... C is firstNote how for the first slot we have 3 ways to pick the winner. Then after that selection is made, we have 2 choices left, then 1 choice for third place. Therefore, 3*2*1 = 6 different outcomes are possible.
We can use the factorial operation on the calculator to do this with one button press, so we'd say 3! = 6. The exclamation mark means "multiply from 3 down to 1, counting down the whole time".
Another example of a factorial is:
5! = 5*4*3*2*1 = 120
Write the factored form of each trinomial.
x^2 + 11x +28
Answer:=
=(x^2+4x)+(7x+28)
=x(x+4)+7(x+4)
=(x+4)(x+7)
Step-by-step explanation:
Answer:
[tex](x+4) (x+7)[/tex]
Step-by-step explanation:
Factor x^2 + 11x + 28 using the AC method.
Esther is getting balloons for her father's birthday party. She wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Esther wants to get 65 balloons, how many yards of string will she need? 1 foot = 1 3 yard
Answer: She needs 130 of string .
Step-by-step explanation:
Given: Length of each ballon string = 6 feet
Total number of ballons = 65
Total string required = ( Length of each ballon string) x (Total number of ballons)
= 6 x 65
= 390 feet
Since 1 foot = [tex]\frac 13[/tex] yard
So, [tex]390\ feet = 390\times\frac13\ yards[/tex]
= 130 yards
Hence, She needs 130 of string .
Find the mean of this data set: 11, 13, 13, 11, 13
Answer:
I'm saososowowo3iwiqiwuwuwuwbabahaqbqnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnen
Answer:
I'mnot really sure if it might be correct but I believe it's 12.2 :))
If WXYZ is a square, which statements must be true? Check all that apply.
Answer:
A might be right
hope this is helpful
The required correct statement for WXYZ to be a square is given as,
A. WX ≅ XY.
C. WXYZ is parallelogram.
D. ∠W is congruent to ∠Y.
E. ∠W is a right angle.
A frame with a square shape i.e. all sides are identical and the measure of the angle between the side is 90°.
Here,
A square is a four-sided regular polygon, and also square is said to be a parallelogram because the opposite of a square is parallel. And each of the four angles of the square is equal to each other and has a measure of 90°.
Thus, the correct statement for the square has been shown above.
Learn more about square here:
https://brainly.com/question/1658516
#SPJ2
Which illustration predicts the effects of rotating the given triangle 75 degrees about R counterclockwise?
Answer:
Option B is correct
Step-by-step explanation:
The triangle if rotated by 75 degrees in the counter clock wise direction will have C vertices in the second quadrant , A vertices also in the second quadrant and B vertices in the third quadrant.
Hence, option B is correct
Match the word with the definition.
Step-by-step explanation:
practical range = 8
vertical line test = 5
range = 3
domain = 2
relation = 1
function = 4
function Notation =6
practical domain=7
(-3,4),(2,4),(5,0),(2,-4),(-3,-4),(-6,0)
Find the perimeter of the polygon with the given coordinates.
Answer:
Step-by-step explanation:
Using the distance formula, d = (x2 - x1)2 + (y2 - y1)2 we can find that each side is 5 units and there are 6 sides. The perimeter is 5×6 = 30 units.
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-6,3). What is the vertex of the function defined as
g(x) = f(x - 2) – 5?
Answer:
The vertex of g(x) is (-4, -2)
Step-by-step explanation:
Let's define general translations:
Vertical translation:
For a function f(x), a vertical translation of N units (So the whole graph of f(x) is translated N units in a given direction) is defined as:
g(x) = f(x) + N
such that:
If N is positive, the translation is upwards
if N is negative, the translation is downwards.
Horizontal translation:
Similar than before, for a function f(x) a horizontal translation of N units is written as:
g(x) = f(x + N)
Where, if N is positive, the translation is to the left
If N is negative, the translation is to the right.
Here, we have the transformation:
g(x) = f(x - 2) - 5
This is a transformation that moves the whole graph of f(x):
2 units to the right
5 units downwards.
So, if a point like (x, y) was in the graph of f(x)
After the translation, that point will be (x + 2, y - 5)
Then, if the original vertex was (-6, 3), the new vertex will be:
(-6 + 2, 3 - 5)
(-4, -2)
The vertex of g(x) is (-4, -2)
Question 8 of 10
Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices"?
three
vertices
triangle
triangle
three
vertices
Figure A
Figure B
A. Figure A
B. Figure B
You want to create a rectangular display board and line it with string lights. You want the lights to go along the two sides and the top, but not along the bottom. You have 40 feet of lights to use. What is the maximum size the display area can be to give the maximum area? What is the maximum display area?
pls help ily
Answer:
The maximum display area is 200sq. Ft. (square feet)
The maximum size of the lights is 20ft for the top and 10 ft for the sides
Step-by-step explanation:
I’m gonna delete this tmr because teacher checks this website I think
The quotient of Alice’s income and 12 is 1,500
Answer:
125
Step-by-step explanation:
x = 1500 / 12
= 125
What equation is equivalent to 2 - 3 (5x+2) = 6?
A) -15x - 4 = 6
B) -15x + 4 = 6
C) -5x - 2 = 6
D) -5x + 2 = 6
At the start of 2014 Mike's car was worth £12000.
The value of the car decreased by 30% every year.
Work out the value of his car at the start of 2017.
The value of the car at the start of 2017 will be £ 4116
Need help with 2 and 3 ASAP PLEASE SHOW WORK
Answer: #2; 25.13274, #3; 167.55161
Step-by-step explanation:
Suppose that another outbreak has been detected. On Sept 1, there were 60 reported cases. A week later, there were 75 reported cases.
If the disease continues spreading exponentially, how many weeks after Sept 1 will 850 cases be expected? Round to the nearest weeks
Answer:
Cases will increase to 850 in half day
Step-by-step explanation:
Given
The number of reported cases increase from 60 to 75 in seven days (week)
rate of increase of cases = 75-60/7 = 15/7
Now, as per the exponential growth equation
[tex]P = P_0 * e^{r*t}[/tex]
Substituting the given values we get
[tex]850 = 60 * e^{\frac{15}{7} * t}\\e^{\frac{15}{7} * t} = 14.167[/tex]
Taking log on both sides we get
15/7 * t = 1.15
t = 1.15 *7/15
t = 0.537 days = half day
What is the value of 3'5/3'3
Answer:
1.05128205Step-by-step explanation:
hope it helps
#carryonlearning
helpppppppppppppppppppppppp asappppp!!!!!!!!!!1
Answer:
(2) angle EZD = angle AZB (vertically opposite angles)
angle EZD = 90 degree
(3) angle DXC = 180 - 143 (Linear Pair axioms)
= 37 degree
Hope u understand
Please mark as brainliest
Thank You
The measure <EZD = 90°
The measure <DXC = 37°
I hope you understand....
This is a Right answer....
Suppose the cost of electricity is $0.03 for each kilowatt-hour. Carlos's house runs on 11.14 kilowatt-hours a day. Find the cost of electricity for Carlos's house in one day.
Part B Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money. He spends a total of $94.94. • Write an equation or inequality to represent the cost of each shirt that Liam buys. Define all variables used. • What is the cost of each shirt that Liam buys? Show your work.
Given :
Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money.
He spends a total of $94.94.
Solution :
Let, cost of each shirt is $ x.
It is given that there are 5 shirt and each cost the same.
Also, the sum of 5 shirt and a pair of jeans is equal to $94.94 .
So,
[tex]29.99 + 5x = 94.94\\\\5x = 94.94 - 29.99\\\\x = \$ 12.99[/tex]
Therefore, the cost of each shirt that Liam buys is $12.99 .
Please help!!!!!!
if
Answer:
if what
Step-by-step explanation:
if we dare or if we must
Answer:
If what?
Step-by-step explanokation:
So, I don't understand what the question is here. Please elaborate.
Jake wants to distribute 543 marbles equally among 7 of his friends. In which place is the first digit of the quotient?
Answer:
tens place
Step-by-step explanation:
543/7≈77.5714285714
the first digit of the quotient is in the tens place
The first digit of the quotient is in tens place.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Jake wants to distribute 543 marbles equally among 7 of his friends.
Now,
Since, Jake wants to distribute 543 marbles equally among 7 of his friends.
Hence, Number of marbles get by each friend = 543/7
= 77.57
Thus, The first digit of the quotient is in tens place.
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ5