Answers
Exponential function are functions that use exponents or power of an argument
Radioactive substanceThe remaining amount after one year
The given parameters are:
Initial, a = 200
Rate, r = 2% loss
The remaining after a year is calculated as:
Remaining = a * (1 - r)
This gives
Remaining = 200 * (1 - 2%)
Evaluate the difference
Remaining = 200 * 0.98
Evaluate the product
Remaining = 196
Hence, the remaining amount after one year is 196 kg
The single number of the product in (a)
In (a), we have:
Remaining = 200 * 0.98
Remove the initial value
Single = 0.98
This represents the multiplying factor.
Hence, the single number of the product in (a) is 0.98
The exponential function
We have:
Initial, a = 200
Multiplying factor, b = 0.98
An exponential function is represented as:
A(t) = ab^t
So, we have:
A(t) = 200 * 0.98^t
Hence, the exponential function is A(t) = 200 * 0.98^t
Time to reach half life
In (c), we have:
A(t) = 200 * 0.98^t
The half life is when
A(t) = 0.5 * A = 0.5 * 200 = 100
So, we have:
100 = 200 * 0.98^t
Divide both sides by 200
0.5 = 0.98^t
Take the logarithm of both sides
log(0.5) = t * log(0.98)
Divide both sides by log(0.98)
t = 34 (approximated)
Hence, the time to reach the half life is 34 years
Population of a town in 10 yearsThe given parameters are:
Initial, a = 12500Rate, r = 4% decreaseAn exponential function is represented as:
A(t) = a(1 - t)^t
So, we have:
A(t) = 12500(1 - 4%)^t
In 10 years, t = 10.
So, we have:
A(10) = 12500(1 - 4%)^10
Evaluate
A(10) = 8310
Hence, the population of the town in 10 years is (d) 8310
Amount of water in a soilThe equation of the amount of water
The given parameters are:
Initial, a = 4Rate, r = 30% decreaseAn exponential function is represented as:
A(t) = a(1 - t)^t
So, we have:
A(t) = 4(1 - 30%)^t
Evaluate the difference
A(t) = 4 * 0.7^t
Hence, the equation of the water is A(t) = 4 * 0.7^t
The graph of the function
The domain is given as:
[0,10]
See attachment for the graph of A(t) = 4 * 0.7^t in the domain [0,10]
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Related Questions
Let register x5 hold the hex number 01a74cd0hex and let x6 hold the hex number 00467b44 hex. If this information is enough, then answer the following three questions, else explain what extra information you may need to proceed.a) (1.5 pts) What are the contents of register x31 after the following instruction is executed? addi x31, x5, 32
b) (1.5pts) What would be the contents of register x28 after the following instruction is executed? add x28, x5, x6
c) (1.5 pts) What would be the contents of register x29 after the following instruction is executed? ld x29, 1056decimal (x30)
d) (1.5 pts) What would be the contents of register x29 after the following instruction is executed? sd x28, 16 decimal (x29)
Answers
a) The contents of register x31 after the following instruction is executed? addi x31, x5, 32 is 277968880 decimal.
b) The contents of register x28 after the following instruction is executed is 278427652 decimal.
c)The contents of register x29 after the following instruction is executed is 1056 decimal
d) The contents of register x29 after the following instruction is executed is 278427652 decimal
In computer architecture, registers are special storage locations within the CPU that hold data temporarily. These registers can hold values in binary, decimal, or hexadecimal formats. In this scenario, we have two registers x5 and x6, holding hexadecimal values. We will use these values to answer the given questions about register manipulation.
a) To determine the contents of register x31 after the instruction "addi x31, x5, 32", we need to add 32 to the value in x5 and store the result in x31. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 in decimal. Adding 32 to this value, we get 277968880 decimal. Therefore, the contents of register x31 after the instruction is executed would be 277968880 decimal.
b) To determine the contents of register x28 after the instruction "add x28, x5, x6", we need to add the values in x5 and x6 and store the result in x28. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 decimal. The value in x6 is 00467b44hex, which is equivalent to 458804 decimal. Adding these two values, we get 278427652 decimal. Therefore, the contents of register x28 after the instruction is executed would be 278427652 decimal.
c) To determine the contents of register x29 after the instruction "ld x29, 1056decimal (x30)", we need to load the value at memory location 1056decimal + the value in register x30 into register x29. The value in register x30 is not given in this scenario, so we cannot determine the contents of register x29.
d) To determine the contents of register x29 after the instruction "sd x28, 16 decimal (x29)", we need to store the value in register x28 at memory location 16 decimal + the value in register x29. The contents of register x28 is 278427652 decimal
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If you score higher than 90% on the test, you'll get an A. If you get an A, you can celebrate.
You scored a 92% on the test. What can you conclude using the Law of Syllogism?
Answers
Answer:
You'll get an A and you can celebrate.
Step-by-step explanation:
The hypothesis for the first conditional is met, so we can assume the conclusion is true: you'll get an A.
That conclusion satisfies the hypothesis of the second conditional, so we can assume its conclusion is true: you can celebrate.
Taken together, we can assume ...
You'll get an A and you can celebrate.
The triangle and the rectangle have the same area.
All lengths are in cm.
7x + 2
a Form an equation in x.
b Solve your equation to find x.
c Work out the area of the shapes.
1
2x + 7
Answers
The length of one side of the equilateral triangle in terms of x is 6x.
To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.
The perimeter of a rectangle is given by the formula:
Perimeter of rectangle = 2(length + width)
In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:
Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x
We are told that the equilateral triangle has the same perimeter as the rectangle.
Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.
Therefore, we have:
Perimeter of equilateral triangle = 3(side length)
Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:
3(side length) = 18x
Dividing both sides of the equation by 3, we get:
side length = 6x
Hence, the length of one side of the equilateral triangle in terms of x is 6x.
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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?
Can you write down the days of the week with the number "500" next to them for me. Make this 2 times thank you :)
Answers
Answer:
my day is going very sad so please sir l am try to improve my self help me
Charles stands 18 m from a circular fountain. If his lines of sight form tangents to the fountain and make an angle of 45°, what is the measure of the arc of the fountain that Charles lines of sight intersect?
Answers
The length of the arc on the pool is 14.14m
What is length of an arcThe length of an arc depends on the radius and the angle subtended by the arc. The formula to calculate the length of an arc is: length of arc = (radius x angle in radians).
The formula can be written as;
L = (θ / 360) * 2πr
L = (45 / 360) * 2π * 18
L = 0.125 * 36π
L = 14.14m
The length of the arc is 14.14m
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A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10∘ to the horizontal. Calculate the length of the zip wire.
Answers
The length of the zip wire is approximately 25.42 meters.
To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.
Given:
Distance between the two posts: 25m
Angle of the zip wire to the horizontal: 10°
We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.
In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.
Using the cosine function:
cos(angle) = adjacent/hypotenuse
cos(10°) = 25m/hypotenuse
To find the hypotenuse (length of the zip wire), we can rearrange the equation:
hypotenuse = 25m / cos(10°)
Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.
Therefore, the length of the zip wire is:
hypotenuse = 25m / 0.9848 ≈ 25.42m
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make e the subject
e-5=2f
Answers
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
What is -20 + 1/2 in a decimal form
Answers
Answer: The answer is -19.5
Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5
Answer:
the answer would be -19.5 :)
Step-by-step explanation:
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9 } A= {1, 2, 3, 4} and B= {4, 5, 6, 7}. Draw the Venn diagram of A ∩B. Answer with full explanation and diagram will be marked as brainliest for sure!!!
Answers
Step-by-step explanation:
Its mean the same number for both A and B which is only 4.
What is the domain of the square root function graphed below?
On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3).
x less-than-or-equal-to negative 1
x greater-than-or-equal-to negative 1
x less-than-or-equal-to 0
x greater-than-or-equal-to 0
Mark this and return
Answers
The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.
The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.
From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).
The x-values of these points are 0, 1, and 4.
Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.
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Which percent is equivalent to 2 5/6?
Answers
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
What Is The Answer? I Attempted It A Preponderance Amount Of Times.
Answers
Step-by-step explanation:
x = price of torch
y = price of battery
x + y = £2.50
x = y + 2
->
y + 2 + y = 2.50
2y = 0.50
y = 0.25
x = y + 2 = 0.25 + 2 = 2.25
what fraction of 2.5 is 0.25 ?
it is 0.25/2.5 = 1/10
the battery is 1/10 of the total price (or 10%).
suppose y = sin x
what y-value corresponds to an x-value of 3pi/2
Answers
Answer: THE ANSWER ON ACELLUS IS -1
Step-by-step explanation:
I found this answer on a site used to do sin cos and tangent
The y-value corresponding to an x-value of \(\( \frac{3\pi}{2} \)\) in the function \(\( y = \sin(x) \) is \( y = -1 \).\)
To find the y-value corresponding to an x-value of \(\( \frac{3\pi}{2} \)\) in the function \(\( y = \sin(x) \),\) simply substitute \(\( x = \frac{3\pi}{2} \)\) into the function:
\(\( y = \sin\left(\frac{3\pi}{2}\right) \)\)
Now, let's evaluate the sine function at \(\( \frac{3\pi}{2} \):\)
\(\( y = \sin\left(\frac{3\pi}{2}\right) = -1 \)\)
So, the y-value corresponding to an x-value of \(\( \frac{3\pi}{2} \)\) in the function \(\( y = \sin(x) \) is \( y = -1 \).\)
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Deion was the lucky journalist assigned to cover the Best Beard Competition. He recorded the contestants' beard colors in his notepad. Deion also noted if the contestants were signed up for the mustache competition later in the day. Dark beard Light beard Only in the beard competition 4 3 Also in the mustache competition 3 2 What is the probability that a randomly selected contestant is only in the beard competition and has a light beard?
Answers
$P(\text{Light beard and only in beard competition}) = \frac{3}{10}$
So, the probability of a randomly selected contestant being only in the beard competition and having a light beard is $\frac{3}{10}$.
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Answers
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Drag the tiles to the correct boxes to complete the pairs match the pairs of equivalent expressions
Answers
In a two digit number. the unit digit is thrice the tens digit. if 36
is added to the number, the digits interchange their place. find the number
Answers
Answer:
Step-by-step explanation:
answer: the original number is 62.
Given :
Units digits is thrice the tens digit
The digits interchange when - 36 is added
To find :
The number
Solution :
✯
Let the digits be -
Units place as 3y
Tens place as 10(y)
⇒ 10(y) + 3y
⇒ 10y + 3y
⇒ 13y --------- (Orignal Number)
✯
Let the digits be -
Units place as y
Tens place as 10(3y)
⇒ 10(3y) + y
⇒ 30y + y
⇒ 31y --------- (Number with reversed digits)
✯
The number gets reversed when 36 is added to it.
⇒ 13y + 36 = 31y
⇒ 13y - 31y = - 36
⇒ 18y = 36
⇒ y = 36/18
⇒ y = 2
✯
⇒ 13y
⇒ 13(2)
⇒ 26
✯
The units place should be thrice of the tens place,
⇒ 2 × 3 = 6
Units place is 6
Reversed digits are 62,
⇒ 26 + 36 = 62
⇒ 62 = 62
The Orignal Number is 62.
the following graphs show the sampling distributions for two different point estimators, r and w, of the same population parameter. the figure presents 2 histograms, each containing 7 bars. the histogram on the left is labeled point estimator r and the histogram on the right is labeled point estimator w. the heights of the bars in both histograms appear to be the same and appear symmetric about the fourth bar. the bars gradually increase in height from left to right, reach a peak at the fourth bar, and then gradually decrease in the same manner. in the point estimator r histogram, the third bar is labeled population parameter. in the point estimator w histogram, the fourth bar is labeled population parameter. which of the following statements is true?'
Answers
Histogram representing point estimator w labelled fourth bar as a population parameter is a true statement.
As given in the question,
The given graph represents the sampling distributions of two different point estimators,
Two point estimators are r and w represents same population parameters.
Two histogram each one with 7 bars:
Left histogram represents point estimator r and right histogram represents point estimator w.
Increase of the heights of the bars in both r and w histogram left to right.
Peak point is at fourth bar.
In point estimator r histogram : Third bar represents population parameter.
In point estimator w histogram : Fourth bar represents population parameter.
Here fourth bar represents the peak point.
Therefore, point estimator w histogram represents the population parameter is a true statement.
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a lemonade recipe calls for 6 gallons of water how many quarts of water are needed for the recipe
Answers
Answer:
24 quarts
Step-by-step explanation:
1 gallon = 4 quarts. 6 gallons x 4 = 24
Given a coin and a number cube which list gives the possible results?
Answers
Answer:
Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2 • 2 • 2 or 8 equally likely outcomes. Rolling a six-sided die and flipping a coin: The sample space is 6 • 2 or 12 equally likely outcomes.
...
First coin Second coin outcome
H T HT
T H TH
T T TT
Step-by-step explanation:
sorry if its wrong mate
simplify pls do fast
Answers
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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Which set of side lengths forms a right triangle?
O 2,3, 13
O 4,6, 10
O 9, 12, 18
O 15, 36, 39
Answers
Awnser:
9,12,18
Step-by-step explanation:
you have to add the smallest numbers together and it has to be greater that the greatest number.
9+12= 21
21>18
20
#1. Which statement is the converse to: If a polygon is a triangle, then it
has 3 sides. *
O A polygon is a triangle, if and only if, it has 3 sides.
If a polygon has 3 sides, then the polygon is a triangle.
If the polygon does not have 3 sides, then it is not a triangle
If a polygon is not a triangle, then it does not have 3 sides
Answers
Answer:
If a polygon has 3 sides, then the polygon is a triangle.
Step-by-step explanation:
Bold = hypothesis
Italic = conclusion
Statement:
If p, then q.
Converse: If q, then p.
To find the converse, switch the hypothesis and conclusion.
Statement:
If a polygon is a triangle, then it has 3 sides.
Now we switch the hypothesis and the conclusion to write the converse of the statement.
If it has 3 sides, then a polygon is a triangle.
We fix a little the wording:
If a polygon has 3 sides, then it is a triangle.
Answer: If a polygon has 3 sides, then the polygon is a triangle.
The converse statement will be;
⇒ If a polygon has 3 sides, then the polygon is a triangle.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The statement is,
''If a polygon is a triangle, then it has 3 sides. ''
Now,
Since, The statement is,
''If a polygon is a triangle, then it has 3 sides. ''
We know that;
The converse of statement for p → q will be q → p.
Thus, The converse statement is find as;
⇒ If a polygon has 3 sides, then the polygon is a triangle.
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A grocery store has 10 cartons of yogurt for sale, of which 4 are raspberry. What is the probability that a randomly selected carton of yogurt will be raspberry? Write your answer as a fraction or whole number.
Answers
Answer:
2/5
Step-by-step explanation:
4 raspberry / 10 total
4/10
2/5
what is the area of the figure to the nearest hundredth? pleeeaaase heeeeelp
Answers
Answer:
it's 44. something
it has something to do with the part circle it's a 180%
Answer: 26.93 square inches
Step-by-step explanation:
first let us find the area of the rectangle shape
rectangle area = length times width
rectangle area = 2 times 11
rectangle area = 22 inches
now let us do the half circle area
half circle area = 1/2(πr^2)
half circle area ~ 1/2 times 3.14(1)^2
half circle area ~ 1/2 times 3.14^2
half circle area ~ 1/2 times 9.8596
half circle area ~ 4.9298
now let’s add the half circle area and the rectangle area to get our total area
total area ~ 4.9298 + 22
total area ~ 26.9298
total area ~ 26.93
26.93 square inches is the total area rounded to the nearest hundredth.
PLEASE HELP ASAP I WILL GIVE BRAILY AND 25 POINTS... write an expression equivalent to 4x + 12 using the distributive property
Answers
Answer:4x + 12 = 2 ( 2x + 6)
Step-by-step explanation:
find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.) Parametric Equations Point x = 6 cos θ, y = 6 sin θ θ = π/4
find:
dy/dx=
d^2y/dx^2 =
slope
concavity:
Answers
The value of dy/dx is -cotθ, d^2y/dx^2 is -6cosec³θ, slope is -cotθ, concavity is -6cosec³θ.
Parametric Equations Point x = 6cosθ, y = 6sinθ and θ = π/4
We have to determine the value of dy/dx.
We can define dy/dx as;
dy/dx = (dy/dθ)/(dx/dθ)
We first define dy/dθ and dx/dθ.
x = 6cosθ y = 6sinθ
dx/dθ = -6sinθ dy/dθ = 6cosθ
Now put the value
dy/dx = 6cosθ/(-6sinθ)
dy/dx = -cotθ
Now we have to determine the value of d²y/dx².
d²y/dx² = d/dx(dy/dx)
We can write it as
d²y/dx² = \(\frac{\frac{d}{d\theta}(\frac{dy}{dx})}{dx/d\theta}\)
We first determine the value of d/dθ(dy/dx)
d/dθ(dy/dx) = d/dθ(-cotθ)
d/dθ(dy/dx) = cosec²θ
Now put the value
d²y/dx² = cosec²θ/(-6sinθ)
d²y/dx² = -6cosec³θ
Now we have to determine the slope.
Slope = dy/dx
Slope = -cotθ
Now we have to determine the concavity.
Concavity = d²y/dx²
Concavity = -6cosec³θ
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A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 4
Blue 4
Green 15
Yellow 9
Purple 3
Based on these results, express the probability that the next spin will land on blue or green or purple as a percent to the nearest whole number.
Answers
Step-by-step explanation:
OUT of 35 spins 4 + 15 + 3 = 22 were blue or green or purple
22/35 probability = 63%
Janet bought 12 guavas and 16 apples. What is the ratio of guavas to apples?
Answers
12 : 16
divide by 4
3 : 4
that's it
Do not round any intermediate computations, and round your answer to the nearest hundredth
Answers
In order to calculate continuous interest, we can use the formula below:
\(A=Pe^{rt}\)Where A is the amount after t years, P is the principal (initial value) and r is the interest rate.
So, using A = 2P and r = 0.0475, we have:
\(\begin{gathered} 2P=Pe^{0.0475t}\\ \\ 2=e^{0.0475t}\\ \\ \ln e^{0.0475t}=\ln2\\ \\ 0.0475t=0.69314718\\ \\ t=\frac{0.69314718}{0.0475}\\ \\ t=14.59\text{ years} \end{gathered}\)Therefore it will take 14.59 years to double the investment.