Answer: 524
Step-by-step explanation:
Suppose the amount of a radioactive element remaining in a sample of 100
milligrams after x years can be described by A(x) = 1002-0.01121x. How much is remaining after
172 years? Round the answer to the nearest hundredth of a milligram.
687.66 mg
0.15 mg
14.54 mg
192.81 mg
Answer:
Step-by-step explanation:
Im sorry we’re are they following?
Who thx of the following is the graph of the solution of 3x + 9 < 30
Answer:
First we need to solve:
3x + 9 < 30
-9 -9
3x < 31
Divide by 3 on both sides:
x < 10.3 around 10
this doesn't really seem right are you sure you typed it in correctly?
Step-by-step explanation:
x < 10 im assuming its 13 i guess since there are no options of 10..
so:
x < 13
B is your answer
The circle is filled in, and it starts at the point of 13 and goes down.
Please help I been stuck on this question for so long
Answer: 1/ 3 ^9
Step-by-step explanation:
Answer:
1/39
Step-by-step explanation:
3-9=1/39
The answer is 0ne over three exponent nine
This is past due, need help fast
Answer:
Step-by-step explanation: 1 foot= 12 inches
so length 5.5 inches= 0.458 feet or 5.5/12
width 4 inches= 0.33 feet or 4/12
area 4x5.5= 1.833 feet or 22/12
A lens used to observe a solar eclipse will filter 69% of the sunlight entering the lens for each 10 millimeters in thickness. Find an exponential function for the percentage of sunlight S passing through the lens as a function of the thickness t (in mm) of the lens.
S=
hmmm let's reword it
what is the Decay equation for sunlight, decaying at 69% at every interval of 10 mm of thickness for "t"?
\(\textit{Periodic/Cyclical Exponential Decay} \\\\ A=(1 - r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ r=rate\to 69\%\to \frac{69}{100}\dotfill &0.69\\ t=thickness\\ c=period\dotfill &10 \end{cases} \\\\\\ A=(1 - 0.69)^{\frac{t}{10}}\implies A=0.31^{\frac{t}{10}}\hspace{5em}\boxed{S=0.31^{\frac{t}{10}}}\)
Which of the following items describe the problems with early forms of money select all that apply
The drawbacks of early forms of money include their propensity to be easily divided and to crumble.
what is unitary method ?The unit technique is a method of problem-solving where you first calculate the value of a specific unit, then expand that value to get the answer. Simply expressed, a minimum unit value is extracted from a specified multiple using the unit method. The method used to accomplish this might be standardized. a solitary nation. anything has a distinguishing component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Logical Analysis, Mathematics of Matrix or Operators)
given
then you multiply and cross.
so,18x6= 4x
4x/4=108/4
x=27
The drawbacks of early forms of money include their propensity to be easily divided and to crumble.
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How to use Pascal’s triangle to find x^2 using the difference quotient formula
Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.
To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:
1. Write the second row of Pascal's triangle: 1, 1.
2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.
3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.
4. Apply the difference quotient formula: f(x + h) - f(x) / h.
5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.
6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.
7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.
8. Divide both terms in the numerator by h: 2x + h.
9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.
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What is the next number in this sequence?
38 57 76
Answer:
the next sequence is 76+19= 95
Answer:
Next number = 95
Step-by-step explanation:
Hi! Let me help you out.
_________________
To determine the next number in this sequence, we should determine the common difference.
We can do it like this.
\(\longmapsto\sf 76-57=19\)
See. I took the third term, and subtracted the second term from it.
Continue.
\(\longmapsto\sf 57-38=19\)
↪
The number we obtain after subtracting is the common difference.
So we should take the third term, "76", and add the common difference, "19" to it.
We obtain 95. Which is the final answer.
⇨Hope that this helped you out! have a great day ahead.⇦
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Please help fast!!!!!!!
Answer: 156.38 m
Step-by-step explanation:
Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)
Transformations of functions PLS HELP
Answer:
B. y = f(x-4)
Step-by-step explanation:
herman makes $20.50 less than three times the amount bertha makes bertha makes $250.50 write an algebraic expression of what makes
Answer:
$20.50+77=28.97
HELP!!!! Write an exponential function to describe the given sequence of numbers.
Answer:
y = 5^(x+1)
Step-by-step explanation:
y = 5^(x+1)
x = 1 for the initial step
H(p)=p/5 + 15
What is the independent variable in this function
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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What type of angles are labeled and what is the value of m? Show your work.
The labeled angles are called vertical angles, the the value of m is given as follows:
m = 80º.
What are vertical angles?
Two angles are called vertical angles when they are opposite by the same vertex when two segments are crossing each other.
These two vertical angles are congruent, meaning that they have the same angle measure.
From the image given at the end of the answer, the vertical angles are given as follows:
Angle of (m + 20)º.Angle of 100º.As they are the angles on the opposite sides of the two crossing lines.
Hence the value of the variable m is obtained applying the congruence of the angles, as follows:
m + 20 = 100
m = 100 - 20
m = 80º.
Missing InformationThe problem is given by the image at the end of the answer.
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Find the equation of a line parallel to 3x – 3y = 5 that contains the point (-1, -5), Write
the equation in slope-intercept form.
Answer:
y=x-4
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y-y1=m(x-x1) to find the line parallel to 3x-3y=5.
please help and I will mark big brain
For each ordered pair (x, y), determine whether it is a solution to the inequality y≤0.
(8,-43)
(4.-22)
(-3,25)
(-7,45)
Is it a solution?
Answer:
(8,-43)
(4,-22)
Step-by-step explanation:
In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.
For example:
(4,-22)
x=4 ; y=-22
Plug y into the inequality
y≤0
-22≤0
Since the statement is true, I know that (4,-22) must be a solution to the inequality.
Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.
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Have a GREAT day!!!
Answer:
Step-by-step explanation:
To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.
Let's check each ordered pair:
(8, -43):
The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(4, -22):
The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(-3, 25):
The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
(-7, 45):
The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
So, the solutions to the inequality y ≤ 0 are:
(8, -43) and (4, -22).
Write the fraction as a mixed number 10/20
Do the side lengths 4, 8, and 10 form a triangle? Select the correct answer and reasoning. Question 11 options: A) Yes, because the sum of any two side lengths is greater than the third side length. B) No, because 4 + 8 is greater than 10. C) Yes, because the sum of all three side lengths is greater than 20. D) No, because the third side length is greater than the sum of the other two side lengths.
Answer:
A) Yes, because the sum of any two side lengths is greater than the third side length.
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 4 + 8 = 12, which is greater than 10, and the other two combinations (4 + 10 and 8 + 10) also satisfy this rule. Therefore, the given side lengths do form a triangle.
Step-by-step explanation:
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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Help me please please
Answer:
1/16
if u need an explanation just ask in the comments!
Please help! Brainliest
1.301
Explanation:
Given:
\(\log_a5 \approx 0.699\) and \(\log_a2 \approx 0.301\)
Note that from the properties of logarithms,
\(\log_a20 = \log_a(5×4)\)
\(\:\:\:\:\:\:\:\:\:\:= \log_a(5×2^2)\)
\(\:\:\:\:\:\:\:\:\:\:=\log_a5 + \log_a(2)^2\)
\(\:\:\:\:\:\:\:\:\:\:=\log_a5 + 2\log_a2\)
\(\:\:\:\:\:\:\:\:\:\:\approx 0.699 + 2(0.301)\)
\(\:\:\:\:\:\:\:\:\:\:= 1.301\)
What is the correct answer to this question?
In accordance with Pythagorean theorem, no point is 4 units away from point M.
What point is 4 units away from point M?
In this problem we find the coordinates of points A, B, C, whose coordinates are (- 4, 2), (2, 7) and (8, - 6), respectively, and the location of point M, whose coordinates are (- 4, - 6), all set on Cartesian plane. We need to determine if at least one of those three points (A, B, C) are four units away from point M. This can be checked by means of Pythagorean theorem:
AM = √[(- 4 - 2)² + [- 6 - (- 4)]²]
AM = √[(- 6)² + (- 2)²]
AM = 2√10 = √40
BM = √[(- 4 - 2)² + (- 6 - 7)²]
BM = √[(- 6)² + (- 13)²]
BM = √205
CM = √[(- 6 - 8)² + [- 4 - (- 6)]²]
CM = √[(- 14)² + 2²]
CM = 10√2 = √200
There is no point that is four units away from point M.
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please fast if could
Answer:9/41
SOH = opposite over hypotenuse
Step-by-step explanation:
What is the slope of the line that passes through the points (2, -3) and (5, 1)?
1.-2/3
2.2/3
3.-4/3
4.4/3
Answer:
4/3
Step-by-step explanation:
To find the slope you use the equation y2 - y1 / x2 - x1. This means you take the y variable from your 1st point and subtract it from the y variable from the 2 one. ex: 1 - (-3) = 4 And then put it over the x variable from the first one subtracted from the x variable of the second one ex: 5 - 2 = 3 -> 4/3. If possible, simplify, but if it's like this one you don't have to.
What is 4 & 1/2+1/8? *
Answer:
4 5/8
Step-by-step explanation:
Rewriting our equation with parts separated
=4+12+18
Solving the fraction parts
12+18=?
Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.
LCD = 8
48+18=58
Combining the whole and fraction parts
4+58=458
Identify the slope (m) y-intercept (b) of the table below. Then, construct the linear equation for the table below in the form f(x)=mx+bf(x)=mx+b
Answer:
m= -1
y intercept= 1
y= - x + 1
Step-by-step explanation:
- Adult male Florida panthers have an
average weight of 52.6 kg. What is the
average weight of a male Florida panther
rounded to the nearest whole number?
The average weight of a male Florida panther rounded to the nearest whole number is 53 kg
What is average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
Average weight = 52.6 kg
52.6
The number after decimal point is 6 which is more than 5.
So add 1 to the 52, we get 53
Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg
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write the inequality shown -4x+y=-3
The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.
To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.
Starting with -4x + y = -3, we isolate y by adding 4x to both sides:
y = 4x - 3
Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.
If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:
y > 4x - 3
If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:
y < 4x - 3
The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.
For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.
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Q 36: The side of square ABCD measures n cm. We know that n is a natural number and that the area of quadrilateral AECF is 66 cm2. Of all the rectangles that have an area of 2n2, how many have a perimeter greater than 100 cm?
Answer:
Step-by-step explanation:
45 cm + 30 cm x 2 = AREA