A function A = 3000 e^(-0. 05t) is an exponential decay function.
And the landfill after 9 years = 1912.8 acres
From given information, the number of acres in a landfill is given by the function A = 3000 e^(-0. 05t), where t is measured in years.
To find: the landfill after 9 years
Substitute t = 9 years in above function.
A = 3000 × e^(-0. 05t)
A = 3000 × e^(-0.05 × 9)
A = 3000 × e^(-0.45)
A = 3000 × 0.6376
A = 1912.8 .............(1)
Substitute t = 9 years in given function.
A = 3000 e^(-0. 05t)
A = 3000 × e^(-0.05 × 0)
A = 3000 × e^(0)
A = 3000 × 1
A = 3000
This means, initially a landfill was 3000 acres.
From (1) we can observe that after 9 years, the landfill is 1912.8 acres.
A landfill has been reduced.
So, a function is exponential decay function.
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Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56.
What are the odds in favor of Adam seeing a meteor in the next 10 minutes?
Answer: The odds in favor of an event happening are the ratio of the probability of the event happening to the probability of the event not happening. To find the odds in favor of an event, you can use the formula:
Odds in favor = probability of event occurring / (1 - probability of event occurring)
In this case, the event is that Adam will see a meteor in the next 10 minutes. The probability that this event will occur is 0.56. Therefore, the odds in favor of this event occurring are:
Odds in favor = 0.56 / (1 - 0.56)
= 0.56 / 0.44
= 1.27
So, the odds in favor of Adam seeing a meteor in the next 10 minutes are 1.27 to 1.
It means that Adam is 1.27 times more likely to see a meteor in the next 10 minutes than not seeing one.
Step-by-step explanation:
The odds in favor of Adam seeing a meteor in the next 10 minutes are 14 : 11
ILL BRAINLIEST YOU PLEASE HELP ME
Answer
Option A
61 in, 60 in, 11 in. represents three sides of a right triangle
Step-by-step explanation:
By Using Pythagorean Triplet we can say that
61 in, 60 in, 11 in. represents three sides of a right triangle
FOR VERIFICATION ONLY:(11)² + (60)² = (61)²
121 + 3600 = 3721
3721 = 3721
Thus, 3721 = 3721 represents three sides of a right triangle
-TheUnknownScientist
Please solve this or find an answer key.
Answer:
1 - 2 1/4
2 - 2 2/4 (simplified) 2 1/2
3 - 7 3/11
4 - 2 1/7
5 - 7 3/8
6 - 4 3/10
7 - 6 2/8 (simplified) 6 1/4
8 - 6 10/12 (simplified) 6 5/6
9 - 6 2/4 (simplified) 6 1/2
10 - 4 1/2
11 - 5 1/8
12 - 3 2/3
13 - 6 5/12
14 - 2 3/5
15 - 5 2/3
_______________________________________
1 - 42/5
2 - 20/3
3 - 27/5
4 - 52/7
5 - 10/3
6 - 17/3
7 - 40/11
8 - 28/5
9 - 29/3
10 - 25/3
11 - 86/9
12 - 11/3
13 - 15/2
14 - 5/2
15 - 38/7
select a graph that shows the relationship between the height form which the ball is dropped , x, and the height of the first bounce y
Answer:
a?
Step-by-step explanation:
What is the first thing you do when giving a problem with a number line
Answer:
You first find the number on the number line, and go from there.
Step-by-step explanation:
If it's addition (Ex. 4+12), you would start at 4, and move right 12 spaces. Since the answer is 16, you would land on the 16th space. Think of it as a board game...
If you roll a 6, and you are on space number 4, you move up 6 spaces. This would represent addition. It's the opposite if you land on a "Move Back" space. You land on that space, and you roll a 4. If you are on the 6th space, you go back to the second space. This would represent subtraction. Hope this helps! Mark Branliest, pls!
One of the legs of a right triangle measure 7 centimeters in the other leg measures 3 centimeters. Find the measure of the hypotenuse.
Answer:7.6
Step-by-step explanation:
What is the area in square feet for this shape?
Answer:
Area of figure = 68.13 feet² (Approx.)
Step-by-step explanation:
Given:
Length of rectangle = 9 ft
Width of rectangle = 6 ft
Diameter of semicircle = 6 ft
Find:
Area of figure
Computation:
Radius of semicircle = Diameter of semicircle / 2
Radius of semicircle = 6 / 2
Radius of semicircle = 3 ft
Area of figure = Area of rectangle + Area of semicircle
Area of figure = [Length x( Width] + [πr²]/2
Area of figure = [9 x 6] + [(3.14)(3)²]/2
Area of figure = [54] + [(3.14)(9)]/2
Area of figure = [54] + [28326]/2
Area of figure = [54] + [14.13]
Area of figure = 68.13
Area of figure = 68.13 feet² (Approx.)
please help thxsssssssssssssssssssssssssssss
Answer:
x≤3.5Step-by-step explanation:
=>7-2x≤0=>-2x+7≤0=>-2x≤-7 divide 2 by 2 and by 7=>x≤3.5Find the measure of the missing angles.
Answer:
d=52 e=77 f=51
Step-by-step explanation:
The opposite side of 52 is 52 because they are intersecting 1dk, same thing with 77, and when you have both of those just add all the angles and subtract it from 360
Answer:
d = 52
e = 77
f = 51
Hope this helps!
Factorize 4x squared - 25y squared
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
here we go~
[tex]\qquad \sf \dashrightarrow \: 4x {}^{2} - 25y {}^{2} [/tex]
[ identity : a² - b² = (a + b)(a - b) ]
[tex]\qquad \sf \dashrightarrow \: (2x) {}^{2} - (5y) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: (2x + 5y)(2x - 5y)[/tex]
a) If 8* =
1
64
find the value of x.
Answer:
x = -2
Step-by-step explanation:
[tex]8^{x}[/tex] = [tex]\frac{1}{64}[/tex]
So to solve exponent.
8x= 1 /64
log(8x)=log( 1/ 64 ) (Take log of both sides)
x*(log(8))=log( 1 /64 )
x= log( 1 /64 ) / log(8)
x=−2
Hope this helps!
MUST ANSWER QUESTION!
A palindrome is a number that is read the same backwards as forwards, for instance 12321. How many 5-digit palindromes with different neighboring digits are there? (Note that 01210 is not considered a 5-digit number and the palindrome 52525 has different neighboring digits. )
There are 24 ,5-digit palindromes with different neighboring .
Define probability.A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Can probability be greater than 1?No, it is always between 0 t0 1.
Such a palindromic number should be abcba
2a+2b+c=14
Thus c has to be even and we need
a+b=14−c/2 and we can choose for a any value from 1 to (14−c)/2
Thus the number of such palindromic numbers is
7+6+5+4+3=25
starting from c=0 up to c=8
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Simplify algebraic expression
Answer: 40
Step-by-step explanation:
We will substitute x = 8 and simplify the given expression.
Given:
6x-x
Substitute:
6(8) - 8
Multiply:
48 - 8
Subtract:
40
please help me do I will really appreciate it so much :)
Answer:
ZYX=39
ZXY=64
X=1
Step-by-step explanation:
Parker could pay for 45% of his college tuition with his scholarship. The remaining $10,500 he paid for with a student loan. What was the cost of Parker's tuition? Show your work
The cost of parker's tuition is $19,090.9
How to calculate the cost of parker's tuition?Parker could pay 45% of his college tuition with his scholarship
He paid for the remaining $10,500 with a student loan
Therefore the cost of parker's tuition can be calculated as follows
100% - 45%
= 55%
let y represent the cost of parker's tuition
55y/100= 10500
0.55y= 10500
y= 10500/0.55
y= 19,090.9
Hence Parker tuition cost is $19,090.9
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Which equation describes a line with a slope of 2/5 that passes through (0,4)
Answer: y = 2/5x + 4
Step-by-step explanation:
We will write a point-slope form equation for this line, then simplify it into a slope-intercept form equation.
Given point-slope form:
➜ m is the slope
➜ (x1, y1) is the point given
y - y1 = m(x - x1)
Substitute values in:
y - (4) = (2/5)(x - (0))
Distribute 2/5:
y - 4 = 2/5x - 0
Add 4 to both sides of the equation:
y = 2/5x + 4
Step-by-step explanation:
since we have the slope and a point, we can start with the point-slope form
y - y1 = a(x - x1)
a is the slope, (x1, y1) is the given point.
y - 4 = (2/5)(x - 0) = 2x/5
y = 2x/5 + 4
or
y = (2/5)x + 4
X + 15 _> 64.5 in inequality from
Answer:
X ≥ 49.5
Step-by-step explanation:
X + 15 ≥ 64.5
Subtract 15 from both sides
X ≥ 49.5
So, the answer is X ≥ 49.5
Give an example of a quadratic function that has a maximum value. How do you know that it has a maximum value?
An example of a quadratic function that has a maximum value is the parabola defined by the equation y = -(x-3)^2 + 4.
What is quadratic function?A quadratic function is a type of polynomial function that can be written in the form y = ax^2 + bx + c, where a, b, and c are constants and x is the variable. The graph of a quadratic function is a parabola, which can either open upward or downward depending on the value of the leading coefficient (a).
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It is usually written with an "=" sign between the two expressions, such as y = 2x + 3 or x^2 + y^2 = 1. Equations can be used to model real-world situations, and solving an equation means finding the values of the variables that make the equation true.
We can determine that this function has a maximum value by looking at the leading coefficient of the quadratic term (x^2). In this case, the coefficient is -1, which means that the parabola opens downward. Therefore, since the parabola opens downward, the vertex of the parabola is the highest point of the parabola, which means that it is a maximum point.
Also we can find the vertex of the parabola by using the formula x = -b/2a, in this case x= -0 / 2*-1 = 3/2 =1.5, and using this value in the function, we get the y value which is 4, so the vertex is (1.5,4) which confirms that the function has a maximum value at (1.5,4)
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Julie remembered that the 4 digits of her locker combination were 4, 9, 15, and 22, but not their order. What is the maximum
number of attempts Julie has to make to find the correct combination?
Answer:
256
Step-by-step explanation:
4^(4)=256, I'm pretty sure that's the answer. i looked up and after some research found that.
Answer: 256
Step-by-step explanation:
Easiest way is to do 4x4x4x4
Given P(A and B)= 0.09, P(B)= 0.25. FIND P(A given B)
A:0.34
B:0.29
C:0.02
D:0.36
The dimensions of a right rectangular prism are 0.25 m, 0.36 m, and 0.14 m.
What is the volume of the prism?
Answer: I would multiply the lxwxh and do 0.25 x 0.36 x 0.14 which in all would give you 0.0126 m2.
Step-by-step explanation:
a large interquartile range shows the data is
A large interquartile range shows the range in values of the central 50% of the data.
an arithmetic sequence has these properties a1=2 an=an-1+5
what are the first four terms in the sequence
a. 2,5,7,12
b.2,5,10,15
c.2,7,12,17
d.2,7,9,14
A circular sector has an 8.26-inch radius and a 12.84-inch arc length. There is another sector that has the same area and the same perimeter. What are its measurements
The dimensions of a different sector with the same area and perimeter are An alternative sector's radius is 6.42 inches. An alternative sector has an arc length of 16.52 inches.
What does an arc's length signify?The distance between two places along a segment of a curve is known as the arc length.
Sector radius, r = 8.26 inches
Sector arc length = 12.84 inches
Sector perimeter = 2r + length of the arc
The specified sector's perimeter is equal to 2 x 8.26 x 12.84 x 29.36 inches.
The circle's circumference is 2 + 8.26 + 16.52.
The specified circle's area is A = 8.262 * 68.2276.
Sector area, A = 53.0292 inch2
Consequently, we have;
2R plus A equals 29.36 inches
A·R = 53.0292 × 2
that provides;
R² + 53.0292 = 14.68·R
R² - 14.68·R + 53.0292 = 0
using a graphing calculator to factor yields;
(R - 6.42)·(R - 8.26) = 0
R = 6.42 or R = 8.26
R = 8.26 is the measurement for the first sector.
Due to the distinctions between the sectors, we have;
R = 6.42 inches is the radius of the other sector.
The length of the arc, A = 29.36 - 2R
∴ A = 29.36 - 2 × 6.42 = 16.52
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What is an equivalent function?
Equivalent function has the same domain and range. Equivalent and equal terms are not the same both have different meanings in mathematics.
A function is said to be equal if its Domain and Range are identical. Complete solution, step by step: A and B should be two sets. Now, by function, we mean a rule that guarantees that f(a)=b exists for all a. As a result, set A is referred to as the Domain of File and set B as the Range Off.
Despite being comparable to 1 + 1, 2 is believed to be equal to 2. When two items or amounts are exactly the same, as when 12 is equal to 12, yet 12 is equivalent to 2/4 since they reflect the same value, we can say that they are equal.
In mathematics, an equivalent can be defined in one of two ways. This is thus because there are various definitions for the concept of equivalent in mathematical theory. Equivalent refers to the mathematical notion that distinct terms and expressions having a similar value are treated equally.
Equivalent is not the same as equal in mathematics. While equivalent indicates similar but not the same, equal means the same in all respects.
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Math question!!!!!!!!!!
Answer:
A recursive sequence , also known as a recurrence sequence, is a sequence of numbers indexed by an integer and generated by solving a recurrence equation. The terms of a recursive sequences can be denoted symbolically in a number of different notations, such as , , or f[ ], where. is a symbol representing the sequence.
Step-by-step explanation:
I hope this helps?
Answer:
A recursive sequence , a sequence of numbers indexed by an integer and generated by solving a recurrence equation.
2.) Una pizza cuesta $12. Alfred compró 4_2/3 pizzas. ¿Cuanto gastara le sobra de $60? a.) $56 b.) $14 c.) $4
Answer:
$56 or $4 left over from $60
$ 56 o $ 4 sobrantes de $ 60
Step-by-step explanation:
4 2/3 pizzas would cost $56
4 2/3 pizzas costarían $ 56
friend me right quick pls
Answer:
ok ok ok i gotchuu
Step-by-step explanation:
Answer:
ok will do!
Step-by-step explanation:
How do i show my working when trying to work out 3 1/3 divided by 4?
Answer:
5/6
Step-by-step explanation:
When dividing fractions, we use a rule where we keep the first number, change the sign, and flip the second number.
3 1/3 must be converted to an improper fraction before we can do this, though.
3 1/3 is 10/3 because we multiply 3 by the denominator, also 3, and then add one, so 10/3.
Now we can divide. Remember 4 is the same thing as 4/1
10/3 ÷ 4/1
Keep the first fraction the same, change the division sign into a multiplication sign, and divide by flip the second fraction.
It ends up looking like 10/3 x 1/4
Multiply: 10 x 1 and 3 x 4
It's 10/12, but we can simplify that by dividing both the top and the bottom by 2.
The final answer is 5/6
In a right triangle, if the length of the hypotenuse is 5 and the length of one of the other sides is 3, what is the length of the third side?
Answer:
a^2+b^2=c^2
a^2+9=25(5*5)
therefore ,a^2=25-9=16
√16=4
sides are 4 cm,3 cm,5 cm
Step-by-step explanation:
[tex]4.[/tex]
Step-by-step explanation:
Pythagoras theorem says that "In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides". As the Hypotenuse side is already yet given and one of the side of a triangle value is given. Now we should find the value for other side of a triangle. In order to find the value of other side, we should use the Pythagoras theorem formula.
AC² = AB² + BC²
Let AC be the Hypotenuse side, AB and BC be the other two sides of a triangle.
Given:-
AC = 5, AB = 3, BC = ?
Use Pythagoras theorem formula
AC² = AB² + BC²
5² = 3² + BC²
25 = 9 + BC²
25 - 9 = BC²
16 = BC²
√16 = BC
BC = 4.