Answer:
a) The initial quantity is 2.9.
b) The initial quantity is 2.9.
c) The multiplier is 1.05 > 1, and thus, the quantity is growing.
Step-by-step explanation:
Exponential equations:
Have the following format:
[tex]A(t) = A(0)(k)^t[/tex]
In which A(0) is the initial amount and k is the multiplier.
If k > 0, the quantity is growing.
If k < 0, the quintity is decaying.
In this question:
[tex]P(t) = 2.9(1.05)^t[/tex]
a, b. The initial quantity is
P(0). So
[tex]P(0) = 2.9(1.05)^0 = 2.9*1 = 2.9[/tex]
The initial quantity is 2.9.
c. Is the quantity growing or decaying?
The multiplier is 1.05 > 1, and thus, the quantity is growing.
Determine the equation of the circle graphed below.
Answer:
[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]
Step-by-step explanation:
Required
The equation of the circle
The equation of a circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where:
[tex]Center = (h,k)[/tex]
[tex]radius \to r[/tex]
From the graph, we have
[tex](h,k) = (6,2)[/tex]
[tex]r = 2[/tex]
So:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex] becomes
[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex]
[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]
What is the equation of the circle?
Answer:
( x - (-1) )^2 + ( y - (-1) )^2 = 3^2
Step-by-step explanation:
The equation of a circle is ( x - h )^2 + ( y - k )^2 = r^2, r is the radius.
(h,k) is the coordinates for the center point.
In this image, it appears K is 3 units away from any point on the circle, making 3 the radius.
Our equation is now ( x - h )^2 + ( y - k )^2 = 3^2
Now, we need to find the coordinate of K; the center point.
K's x is -1 and K's y is also -1.
Our equation is now:
( x - (-1) )^2 + ( y - (-1) )^2 = 3^2
If M is the midpoint of AB, find the coordinates of A if M(-3, 5) and B(6, -11)
midpoint= (x, y)
where x=(x1 + x2)/2
y=(y1 + y2)/2
x1=-3, x2=6, y1=5, y2=-11
so x=(-3 + 6)/2= 3/2
y=(5 + -11)/2= (5-11)/2= -6/2= -3
so mid point =(3/2, -3)
hope this helps
Please help me please please I really need help please please
A moving company charges $30 plus $0.15 per mile to rent a moving van. Another company charges $15 plus $0.20 per mile to rent the same van. For how many miles will the cost be the same for the two companies? Write and solve an equation.
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume that the driving distance for these golfers is uniformly distributed over this interval. a. Give a mathematical expression for the probability density function of driving distance. b. What is the probability the driving distance for one of these golfers is less than 290 yards
Answer:
a) [tex]f(x) = \frac{1}{25.9}[/tex]
b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
The probability density function of the uniform distribution is:
[tex]f(x) = \frac{1}{b-a}[/tex]
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.
This means that [tex]a = 284.7, b = 310.6[/tex].
a. Give a mathematical expression for the probability density function of driving distance.
[tex]f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}[/tex]
b. What is the probability the driving distance for one of these golfers is less than 290 yards?
[tex]P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046[/tex]
0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
Clarksville Middle School spends $14 for every workbook it buys. At most how many workbooks can Clarksville Middle School buy if it has $28 to spend? workbooks
Answer
coochie man
Step-by-step explanation:
Based on the information below, which statement provides a logical
conclusion?
On Monday, Suzanne got up at 6:00 a.m. and was on time for first period.
On Wednesday, Suzanne got up at 6:15 a.m. and was late to first period.
Answer:
It's A because on b it says is she gets up after 6:00 she will not be late and that's wrong cause she will be
5+ [14 + 5 - {6 (5 + 1 - 4)}]
simplify
Answer:
12
Step-by-step explanation:
1) 5+19−6(5+1−4)
2)5+19−6(6−4)
3)5+19−(6)(2)
4)5+19−12
5) 5+7
6) 12
Deandra traded $2800 for Swiss francs, immediately changed her mind, and
then promptly traded her Swiss francs back into dollars. Which of these
amounts is she most likely to have?
A. More than $0 but less than $2800
B. $0
C. $2800
D. More than $2800
SUBMIT
Answer:
A
Step-by-step explanation:
More than $0 but less than $2800
The correct option is (A).
What is data?Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.
Given:
Deandra traded $2800 for Swiss francs.
So, she would have More than $0 but less than $2800.
This is because she will not get the same amount back she has only has more than 0 and less than 2800.
Learn more about data here:
https://brainly.com/question/10980404
#SPJ2
all the given quadrilaterals in the picture on the right are squares and #1 ≅ #3, #2 ≅ # 4. find the area of the shaded region, if the area of the big square is 900 square units.
THANK YOU SO MUCH FOR YOUR HELP
Answer:
Step-by-step explanation:
If you have a square of side [tex]l[/tex], its diagonal would be [tex]l\sqrt{2}[/tex], and its area [tex]l^2[/tex]
If the big square has a area of 900, this implies that its side is [tex]\sqrt{900}[/tex], so the two diagonal of squares 2 and 4 added together would be [tex]\sqrt{900}[/tex], therefore one diagonal wold be [tex]\frac{\sqrt{900}}{2}[/tex]. and its side [tex]\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}}[/tex]. The area (of one square) is [tex](\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}})^2=\frac{225}{2}[/tex]
finally the two areas combined (squares 2 and 4) would be 225
Answer:
425
Step-by-step explanation:
I used help from the guy above me to find 2 and 4 so look at theirs for those. (Thank You). For 1 and 3. Each one is 1/9 of the big square. So each one is 1/9*900=100 100*2=200. And then we add 225+200=425.
Hope this helps :)
Find the value of the trigonometric ratio. Simplify the ratio if possible.
(Hint: You may need to use some pythagorean theorem first!)
Answer:
Tan B = 15 / 8
Step-by-step explanation:
Giveb the triangle :
The hypotenus :
Using Pythagoras rule :
Hypotenus² = 15² + 8²
Hypotenus² = 225 + 64
Hypotenus = 17
Tan B:
Using the trigonometric relation :
Tan B = opposite / Adjacent
Tan B = 15 / 8
HELPP DONT SEND A FILE WHATS the surface area explain step by step too
Answer:6
Step-by-step explanation:
Cyril walks 1500 feet from his house to school. What is the distance covered by Cyril in inches?
A. 18,000 in.
B. 18,500 in.
C. 18,600 in.
D. 19,000 in.
Answer:
A. 18,000in
Step-by-step explanation:
1,500 ×12=18,000
What method would be best to use 53=4(x-3)^2-11
Answer:
x = 7 , -1
Step-by-step explanation:
SOLUTION :-
[tex]4(x-3)^2-11 = 53[/tex]
Add 11 to both the sides.[tex]=> 4(x-3)^2-11+11=53+11[/tex]
[tex]=> 4(x-3)^2 = 64[/tex]
Divide both the sides by 4.[tex]=> \frac{4(x-3)^2}{4} = \frac{64}{4}[/tex]
[tex]=> (x-3)^2 = 16[/tex]
Root square both the sides.[tex]=> \sqrt{(x-3)^2} = \sqrt{16}[/tex]
[tex]=> x-3 = +4 \; or -4[/tex]
Here , x will have two values -
1) [tex]x-3 = 4[/tex]
[tex]=> x = 4 + 3 = 7[/tex]
2) [tex]x - 3 = -4[/tex]
[tex]=> x = -4 + 3 = -1[/tex]
VERIFICATION :-
When x = 7 ,
[tex]4(x-3)^2 - 11 = 4(7 - 3)^2 - 11[/tex]
[tex]= 4 \times 4^2 - 11[/tex]
[tex]= 4 \times 16 - 11[/tex]
[tex]= 64 - 11[/tex]
[tex]= 53[/tex]
When x = -1 ,
[tex]4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11[/tex]
[tex]= 4 \times (-4)^2 - 11[/tex]
[tex]= 4 \times 16 - 11[/tex]
[tex]= 64 - 11[/tex]
[tex]= 53[/tex]
A package is weighed at 4 kg to the nearest kg.
Find the largest possible weight for the package.
ANSWER ASAP PLEASE
Answer:
3.99kg
Step-by-step explanation:
you can find it by 4kg minus 1 g that stills counts as rounding
solve 3x²-2x-5=0 by factorization method
Answer:
Step-by-step explanation:
3x^2 -2x -5=0
3x^2 -(5-3)x -5=0
3x^2 -5x +3x -5=0
x(3x -5)+1(3x -5)=0
(x+1)(3x-5)=0
either (x+1)=0 OR, (3x-5)=0
x+1=0
x=0-1
x=-1
3x-5=0
3x=0+5
x=5/3
x=-1, 5/3
Write a linear equation for the situation below.
A tank contains 20 gallons of gasoline. Two gallons are drained out of the tank every minute.
Answer:
y = -2x + 20
Step-by-step explanation:
Use the linear equation, y = mx + b, where m is the slope and b is the y intercept.
In this situation, the y intercept is 20, since the starting amount of gasoline is 20 gallons.
The slope will be -2, since 2 gallons are drained per minute.
Plug in these values:
y = mx + b
y = -2x + 20
So, the linear equation is y = -2x + 20
Which of the following statements is true?
A: The product of two rational numbers is irrational.
B: The sum of two rational numbers is rational.
C: The product of a non-zero rational number and an irrational number is rational.
D: The sum of a rational number and an irrational number is rational.
What’s the answer help please
Answer:
-3/4
Step-by-step explanation:
Have a nice day
Given f(x) = (1/4) -x, evaluate f(-2), f(1), and f(2). Question 3 options: a. 1/16, 4, 16 b. 16, 1/4, 1/16 c. 16, 4, 16 D. 16, 4, 1/16
Answer:
1/16 ;4 ; 16
Step-by-step explanation:
Given that :
f(x) = 1/4^-x
f(-2) = 1/4^-(-2)
f(-2) = (1/4)^2
f(-2) = (1/16)
f(1) = 1/4^-1
f(1) = 1 / (1/4)^1
f(1) = 1 * 4/1 = 4
f(2) = 1/4^-2
f(1) = 1 / (1/4)^2
f(1) = 1 / (1/16)
f(1) = 1 * 16/1 = 16
What is the first term of the sequence with nth term formula 100n + 3?
Submit Answer
Answer:
Step-by-step explanation:
To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!
answer is in photo above
HELP ME PLEASE FAST
Don’t worry about the answer I pressed I pressed it by accident and I can’t take it off
Answer:
area of the rectangle
(3X²+5)(2X-3)
=3X²(2X-3)+5(2X-3)
=6X³-9X²+10X-15
Plot A of Astan Apple Orchard's produced an average of 246.343 bushels of apples over the last 5 years. The average number of bad bushels in the same period was 20.12. The approximate percentage of bad bushels was
Answer:
The approximate percentage of bad bushels was 8.17%.
Step-by-step explanation:
The percentage of bad bushels is given by the average number of bad bushels multiplied by 100 and divided by the average of bushels.
We have that:
Average number of bushels: 246.343
Average number of bad bushels: 20.12
The approximate percentage of bad bushels was
20.12*100%/246.343 = 8.17%
The approximate percentage of bad bushels was 8.17%.
Which expression entered into a graphing calculator will return the probability
that 35 or fewer heads come up when flipping a coin 100 times?
A. binomcdf(35, 100, 0.5)
B. binomcdf(100, 0.5, 35)
C. binomcdf(100, 35, 0.5)
O D. binomcdf(35, 0.5, 100)
Answer:
B. binomcdf(100, 0.5, 35)
Step-by-step explanation:
Binomcdf function:
The binomcdf function has the following syntax:
binomcdf(n,p,a)
In which n is the number of trials, p is the probability of a success in a trial and a is the number of sucesses.
35 or fewer heads come up when flipping a coin 100 times.
100 coins are flipped, which means that n = 100.
Equally as likely to be heads or tails, so p = 0.5
35 or fewer heads, so a = 35.
Then
binomcdf(n,p,a) = binomcdf(100,0.5,35)
The correct answer is given by option B.
Four times the sum of 5 and some number is 4. What is the number
Answer:
n = -4
Step-by-step explanation:
1. the sum of 5 and some number translates to 5 + x.
2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).
3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4
4. Now you can solve the equation. When solved, the answer is n = -4
This type of member variable may be accessed before any objects of the class have been created.
a. private
b. public
c. inline
d. static
e. None of these
Answer:
d. static
Step-by-step explanation:
This is a question about Java programming.
A class contains information about it's members(objects). Private, public or inline variables must be related to an object, that is, an object has to be created before the variable is acessed.
Static variables, otherwise, may pertain to the class, and not to the object, that is, and thus, the correct answer is given by option d.
(-3, 5) is located in ____
a. Quadrant |||
b. Quadrant |
c. Quadrant |V
d. Quadrant ||
Answer:
D
Step-by-step explanation:
This is considered quadrant II
Please help!! What is x?
Answer:
12
Step-by-step explanation:
1) to calculate the length of RT (in ΔRST):
SR/sin60°=12√3 / (√3/2)=12.
2) in ΔQRT RT=RQ=x (the m∠T=m∠Q !), then x=12.
help. no links. will give brainlist if your correct
Please help me with this math
Answer:
(E) 9
Step-by-step explanation:
[tex]\frac{(3^{2008})^2-(3^{2006})^2}{(3^{2007})^2-(3^{2005})^2} = \\\frac{(3^{2007+1})^2-(3^{2007-1})^2}{(3^{2007})^2-(3^{2007-2})^2} = \\\frac{(3^{2007})^2(3^{2}-3^{-2} )}{(3^{2007})^2(1-3^{-4} )} =\\\frac{9-\frac{1}{9} }{1-\frac{1}{81} }=\\\frac{80}{9}:\frac{80}{81} = \\\frac{80}{9}*\frac{81}{80} = \frac{81}{9} = 9[/tex]