. (Adapted from Terence Blows, Northern Arizona University.) Classify as in Exercise 6 but for the following circumstances. a. The amount of caffeine in the bloodstream decreases by 50% every 5 hours or so after stopping drinking coffee. b. The amount of trash in a landfill increases by 350 tons per week. c. The amount of alcohol in the bloodstream decreases by 10 grams (the amount in a standard drink) per hour after stopping drinking. d. Your age increases every day.
Answers
The statements are classified as Exponential decay and Linear growth.
What are the classification of the statements?
a. Exponential decay: The amount of caffeine in the bloodstream decreases by 50% every 5 hours, which indicates an exponential decay process where the quantity decreases at a constant percentage rate over time.
b. Linear growth: The amount of trash in a landfill increases by 350 tons per week, which indicates a linear growth process where the quantity increases by a constant amount over time.
c. Exponential decay: The amount of alcohol in the bloodstream decreases by 10 grams (the amount in a standard drink) per hour after stopping drinking, which indicates an exponential decay process where the quantity decreases at a constant percentage rate over time.
d. Linear growth: Your age increases every day, which indicates a linear growth process where the quantity (age) increases by a constant amount (1 day) over time.
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Related Questions
Help help math math math
Answers
Fill in the equation
3 times 2 squared times 3
36 is the answer
Answer:
The answer is V ≈ [36] in³.
Step-by-step explanation:
\(\large{\tt{\underline{\underline{\purple{SOLUTION}}}}}\)
Here's the required formula to find the volume of cylinder :
\(\implies{\pmb{\sf{V_{(Cylinder)} = \pi{r}^{2}h}}}\)
➝ V = Volume➝ π = 3➝ r = radius➝ h = heightSubstituting all the given values in the formula to find the volume of cylinder ;
\(\implies{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}\)
\(\implies{\sf{Volume_{(Cylinder)} = 3{(2)}^{2}3}}\)
\({\implies{\sf{Volume_{(Cylinder)} = 3{(2 \times 2)}3}}}\)
\({\implies{\sf{Volume_{(Cylinder)} = 3{(4)}3}}}\)
\({\implies{\sf{Volume_{(Cylinder)} = 3 \times 4 \times 3}}}\)
\({\implies{\sf{Volume_{(Cylinder)} = 3 \times 12}}}\)
\({\implies{\sf{Volume_{(Cylinder)} \approx 36}}}\)
\(\star{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} \approx 36\: {in}^{3}}}}}}\)
Hence, the volume of cylinder is 36 in³.
\(\rule{300}{2.5}\)
I hate school I’m supposed to be in 12th but I’m in 11th I’m doing my credit recovery classes it’s just exhausting for me
Answers
what number is 90% of 140?
Answers
126
Step-by-step explanation:A percentage is a proportion of some whole number. There are 2 ways to find percentages. Firstly, you can multiply by a decimal, or you can use a shortcut.
Multiplying with Decimals
You can always rewrite percentages as decimals. To do this move the decimal point 2 digits to the left. This means that 90% becomes 0.90. Then multiply this decimal by the whole number to find the correct percentage.
0.90 * 140 = 126Shortcut
Because 90% is a multiple of 10%, we can use a shortcut. First off, find 10% of 140. To find 10% of any number, move the decimal 1 digit to the left. This means 10% of 140 is 14.0. Next, 90% is 10% less than 100%. So, subtract 10% from 140 to find 90%.
140 - 14 = 126Answer:
126
Step-by-step explanation:
We need to find 90% of 140.
90% is the same as 0.9 or 9/10.
140 can be written as 14 x 10.
Multiply 14 x 10 with 9/10.
⇒ 14 x 10 x 9/10
[The 10 and 1/10 cancel out by cross multiplication]
⇒ 14 x 9
⇒ 126
The local newspaper has letters to the editor from 70 people. If this number represents 4% of all of the newspapers readers, how many readers does the newspaper
Answers
Answer:
1750
Step-by-step explanation:
We first find the rate
70/4
= 17.5
We know 17.5 is 1% of the people that read newspaper, we will multiply 17.5 by 100 as it would represent 100% of the people
17.5 * 100
= 1750
Subtract ( b - a - d +c) from (a – b + c – d)
Answers
Answer:
2(a - b)
Step-by-step explanation:
a - b + c - d - (b - a - d + c)
a - b + c - d - b + a + d - c
2a - 2b
2(a - b)
Ringani worked overtime to raise a total amount R30 000.00 to settle his student debt. If he has deposited R8 500.00 yearly into an account earning 7,04% interest per year compounded annually. How long, rounded to one decimal place did it took her to accumulate the total amount? A. 3.0 years B. 2.4 years C. 2.8 years D. 2.0 years
Answers
It took Ringani 2.8 years to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.
To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the interest rate (in decimal form)
n is the number of times the interest is compounded per year
t is the time in years
In this case, we have:
P = R8,500.00
A = R30,000.00
r = 7.04% = 0.0704 (in decimal form)
n = 1 (compounded annually)
We want to find the value of t.
Using the formula, we can rearrange it to solve for t:
t = (log(A/P)) / (n * log(1 + r/n))
Substituting the given values, we have:
t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))
Calculating this using a calculator, we find that t is approximately 2.8 years.
Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.
The correct answer choice is C. 2.8 years.
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Now you try on your own.
Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?
$25=
Answer
w=
Answer
$65=
Answer
For this specific expression, would it make sense to plug in a negative number for w
? Answer
For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?
Answers
The Interpretatiom of the equation is that;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
How to solve algebra word problems?The algebra word problem can be solved by using variables to denote certain parameters I'm the question.
The general form of equation of a line in slope intercept form is;
y = mx + c
Where;
m is slope
c is y-intercept
We are given the equation:
$25w + $65
This equation represents the amount of money Kelly will have saved after some amount of weeks.
Thus;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
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Which expression is equivalent to (2x – 5)(x + 9)?
Answers
Answer:
\(2x^{2} +13x-45\)
Step-by-step explanation:
By using FOIL method.
A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The vet surveys 120 three-year-old pit bulls and finds 30 of them have tooth decay. The vet then surveys 160 three-year-old golden retrievers and finds 32 of them have tooth decay. Number the population of pit bulls and golden retrievers by 1 and 2, respectively. Calculate a 90% confidence interval for the difference in the population proportion of pit bulls and golden retrievers that have tooth decay. Which of the following is correct?
A) [-0.0492, 0.1492]
B) [-0.0332, 0.1332]
C) [0.0199. 0.0801]
D) [0.0428, 0.0572]
Answers
Answer: B) [-0.0332,0.1332]
Step-by-step explanation: Confidence Interval is an interval where we can be a percentage sure the true mean is.
The confidence interval for a difference in population proportion is calculated following these steps:
First, let's find population proportion for each population:
\(p_{1}=\frac{30}{120}=0.25\)
\(p_{2}=\frac{32}{160}=0.2\)
Second, calculate standard deviation for each proportion:
\(\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395\)
\(\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316\)
Now, we calculate standard error for difference:
\(SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}\)
\(SE=\sqrt{0.0395^{2}+0.0316^{2}}\)
SE = 0.0505
The z-score for a 90% CI is 1.645.
Then, confidence interval is
\(p_{1}-p_{2}\) ± z-score.SE
\(0.25-0.2\) ± \(1.645(0.0505)\)
0.05 ± 0.0831
The limits of this interval are:
inferior: 0.05 - 0.0831 = \(-0.0332\)
superior: 0.05 + 0.0831 = 0.1332
The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is \([-0.0332,0.1332]\).
A poll is given, showing 60% are in favor of a new building project. 5 people are chosen at random, what is the probability that exactly 3 of them favor the new building project ?
Answers
0.3456 would be your answer
Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
Answers
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
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Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answers
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
Three cats and three dogs, A, B, C, D, E, and F, live on a street in three different-coloured houses. Each house hosts one cat and one dog. One house is red. A is a cat and does not live in the red house. B is a dog and does not live in the same house as C (even though they could). D lives in the blue house. D does not live with A or F (even though it could). E does not live with A and does not live in the yellow house.
Indicate whether each letter correspond to a cat or a dog, and match each cat and each dog with a colored house.
Answers
Answer:
1) A is a cat; B is a dog; C is a cat; D is a dog; E is a dog; F is a cat
2) A lives with B in a yellow house; C lives with D in a blue house; E lives with F in a red house.
Step-by-step explanation:
Step 1: First we identify the animals as cats or dogs
A is a cat
B is a Dog
Since B can live with C, C is a cat
Since D can live with A, D is a dog
F is a cat since it can live with D
E is therefore, a dog
Step 2: We then identify the house each two animals live in pairs of a cat and a dog
D lives in a blue house
A lives in a yellow house since it does not live with D or in a red house
C lives with D in a blue house since D does not live with either A or F
E lives in a red house since it does not live with A or in a yellow house
F lives with E in a red house since E does not live with A
Therefore, B lives with A in a yellow house
2÷3/4= divide pls help
Answers
The given expression is
2÷3/4
If we change the division sign to multiplication sign, it means that the fraction, 3/4 would be flipped so that it becomes
4/3
The expression becomes
2 * 4/3
= 8/3
True or False
Which of these statements is true?
(Select all that apply.)
Any translation can be replaced by two reflections.
Any translation can be replaced by two rotations.
Any rotation can be replaced by a reflection.
Any reflection can be replaced by a rotation followed by a
translation.
Answers
Answer:
truetruefalsefalseStep-by-step explanation:
One characteristic of a reflection that is useful for answering this question is that it always reverses the clockwise/counterclockwise orientation of a figure. Rotation and translation have no effect on that orientation.
__
1. translation by reflection
Reflection across two parallel lines has the net effect of translating a figure twice the distance between the parallel lines. So, one way to effect a translation using two lines of reflection is to draw one of them through the perpendicular bisector of a point and its translated image. Then the other line would be drawn parallel to the first through the image point.
True: translation can be replaced by two reflections
__
2. translation by rotation
A single point can be moved from one set of coordinates to another by rotating around any point on the perpendicular bisector of the original and its image. To "undo" the change in direction of other points in the image, the image can be rotated an equal angle in the reverse direction about the point that is in its proper place.
That is, if we rotate figure ABC an amount of X° about a point on the perpendicular bisector of AA', so that A ends up at A', then the translation can be finished by rotating that figure by -X° about point A'.
The simplest case is an initial rotation of 180° about the midpoint of AA', followed by another rotation of 180° about A'.
True: translation can be replaced by two rotations
__
3. rotation by reflection
As discussed above, reflection changes orientation and rotation does not.
However, a rotation can be replaced by two reflections. The rotation angle is equal to twice the angle between the lines of reflection. The point where the lines of reflection meet is the center of rotation.
False: rotation can be replaced by reflection
__
4. reflection by rotation and translation
As discussed above, reflection changes orientation, but rotation and translation do not.
False: reflection can be replaced by rotation and translation
What is the area of the figure below ?
A. 12
B. 15
C. 18
D. None of these
Answers
Step 1: Find the area of the larger rectangle
Area of a rectangle = base x height
Area = 4 x 3 = 12
Step 2: Find the area of the other rectangle
The tricky part about this one is that we aren't given the length of this rectangle. We do know, however, that the whole base of the figure is 6 and 3 units are taken up by the first rectangle. Therefore, the length of this rectangle is 3.
Area = 2 x 3 = 6
Step 3: Find the area of the figure
Now that we know the area of both rectangles by themselves, all that's left to do is add them up.
6 + 12 = 18
Answer: 18
Hope this helps!
Answer:
18
Step-by-step explanation:
A=bh
A=3x4 A=3x2
12+6=18.
The volume of the water bottle is 110cm^3. The height is 7.8. What is the radius? Use 3.14 for pi.
Answers
Answer:
Step-by-step explanation:
Step 1: Divide the volume of the water bottle by 3.14.
Volume / 3.14 = 110cm^3 / 3.14
Step 2: Divide the quotient by the height of the water bottle in cm.
(110cm^3 / 3.14) / 7.8 =
Step 3: The quotient of the two numbers is the radius of the water bottle in cm.
14.064516129 cm
11 of 3011 of 30 Questions
Question
A baker makes peanut butter cookies and chocolate chip cookies.
She needs 2 cups of flour and 34
cup of butter to make one batch of peanut butter cookies.
She needs 3 cups of flour and 1 cup of butter to make one batch of chocolate chip cookies.
If the baker has 26 cups of flour and 9 cups of butter, how many batches of each type of cookie can she make?
Answers
The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.
Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."
From the given information, we can set up the following system of equations:
For the flour:
2x + 3y = 26
For the butter:
34x + y = 9
To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:
Multiply the first equation by 17 (to make the coefficients of x in both equations the same):
34x + 51y = 442
Now we have the system of equations:
34x + y = 9
34x + 51y = 442
Subtract the first equation from the second equation:
34x + 51y - (34x + y) = 442 - 9
50y = 433
Divide both sides by 50:
y = 433/50
Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.
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60 61 62 63 64 65 66 67 68 69 70
Find the mean of the data shown in the dot plot above. Round your
answer to the nearest tenth.
Answers
Answer:
the mean is 65
Step-by-step explanation:
!! Please help
Solve the system using substitution
x + 3y = 3
3y - 2x = 12
Answers
x + 3y = 3 and subtracting -3y from both sides which gives you
x = -3y +3 which you then substitute into the next equation
3y - 2(-3y +3) = 12 and then when you multiply you get
3y +6y -6 = 12 and when you’ve added like terms you get 9y -6 =12 adding +6 to both sides you get
9y =18 and then you solve and get
y=2 which you then substitute into the equation you’ve already solved for x ( x= -3y +3) which gives you x= -6+3 which means
y= 2 and x = -3
Hope this helps :)
the sum of four number is 20500.three of the numbers are 2341.578 and 10690.What is the fourth number?
Answers
Answer:
5216.844
Step-by-step explanation:
Let x be the fourth number.
We know that the sum of the four numbers is 20500:
2341.578 + 10690 + x + 2341.578 = 20500
Simplifying and solving for x:
x = 20500 - 2341.578 - 10690 - 2341.578
x = 5216.844
Is 3/4 ÷ 1/2 the same as 1/2 ÷ 3/4?
Answers
Answer:
I believe it is false
Step-by-step explanation:
Hi! Can someone please help me with these two questions??!! Thank you so much!
Answers
Answer:
it is b, 42 units² I'm sure
Greatest common factor of monomials 9g^2h^3 6g^5h^2 and 21g^4h^2
Answers
Answer:
Step-by-step explanation:
To find the greatest common factor (GCF) of monomials, we need to identify the highest power of each variable that appears in all the monomials and multiply them together.
The variables in the given monomials are g and h.
The highest power of g that appears in all three monomials is g^2 in the first monomial and g^4 in the third monomial. Therefore, the highest power of g that appears in all three monomials is g^2.
The highest power of h that appears in all three monomials is h^2.
Thus, the GCF of the given monomials is:
GCF = g^2h^2
Therefore, the GCF of 9g^2h^3, 6g^5h^2, and 21g^4h^2 is g^2h^2.
12 - d > 8. Solving inequalities
Answers
Answer:
d<4 I might not be right but I think this is correct
Step-by-step explanation:
Simplify both sides of the inequality.
−d+12>8
Subtract 12 from both sides.
−d+12−12>8−12
−d>−4
Divide both sides by -1.
\(\frac{-d}{-1}\) >\(\frac{-4}{-1}\)
d > 4
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answers
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
How can I factor the following expression by grouping:
a) 4x^3 - 2x^2 + 8x - 4
Answers
The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping
How to factor the expression by groupingFrom the question, we have the following parameters that can be used in our computation:
4x³ - 2x² + 8x - 4
Group the expression in 2's
So, we have
(4x³ - 2x²) + (8x - 4)
Factorize each group
2x²(2x - 1) + 4(2x - 1)
So, we have
(2x² + 4)(2x - 1)
Hence, the factored expression is (2x² + 4)(2x - 1)
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A pair of shoes is on sale for 15% off.With this discount,customers will save $9 if they buy the shoes.What was the original price of the shoes?
Answers
15 percent off 9.00 is 7.65
Step-by-step explanation:
The difference is 1.35
What is 3/11 simplified
Answers
i need help asap plzzzzzzzz
Answers
Answer:
C. The crash exposed a great deal of accounting fraud.
Step-by-step explanation:
A. Positive
B. Neutral
C. Negative - The stock market crash of 1929 that launched the Great Depression exposed massive accounting frauds by companies listed on the New York Stock Exchange.
D. Positive
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