a population of aardvarks is growing at a rate of 8% per year. this year there are 756 aardvarks. how many aardvarks were there last year?
Answers
To determine the number of aardvarks that were there last year, we will have to use the formula for exponential growth. Exponential growth is a type of growth that increases in size exponentially over time.
The formula for exponential growth is given by the equation:
\(Nt = N\times(1 + r)^t,\)
where N₀ is the initial population, r is the annual growth rate, t is the time in years, and Nt is the population after t years.Let's use this formula to find the number of aardvarks last year. Given that the current population of aardvarks is 756, and the growth rate is 8%, we can write the equation as
\(:Nt = N \times (1 + r)^t756 = N \times(1 + 0.08)^1So, N = 756 / (1 + 0.08)^1\)
Now, we need to find the population of aardvarks last year, which is t = 1 year before.
Thus, plugging in t = 1, we get
:\(N = 756 / (1 + 0.08)^1N= 700\)
Hence, there were 700 aardvarks last year.
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Related Questions
Give the digits in the ones place and the hundredths place.
16.89
Answers
Ones place=6
which angle pair represents corresponding angles?
options on picture
Answers
Hope this helped! :)
Answer: b
Step-by-step : not needed
Mrs. Murphy by balloons garlands paper lanterns and banners to decorate a school party she got three times as many bags of balloons as paper lanterns seven more garlands than paper lanterns and for banners she paid $5. 25 for each banner $6. 50 for each paper lantern five dollars for each bag of balloons and $3. 50 for each garland how many of each kind of decoration did she purchase if she paid $145. 50
Answers
She purchased 4 Paper Lanterns, 12 Bags of Balloons, 11 Garlands, and 4 Banners if she paid $145. 50.
The cost of lanterns is $6.50
Mrs Murphy bought 4 lanterns
Multiply the cost of one lantern ($6.50) by the number of lanterns bought (4) 6.50 multiplied by 4 equals 26
The cost of banners is $5.25
Mrs Murphy bought 4 banners
Multiply the cost of one banner ($5.25) by the number of banners bought (4) 5.25 multiplied by 4 equals 21
Mrs Murphy bought 3 times as many balloons as she did lanterns
So, you multiply the number of lanterns bought (4) by 3
This gives 12
We then multiply the cost of each balloon ($5.00) by the number of balloons bought (12)
5.00 multiplied by 12 equals 60
Mrs Murphy bought 7 more garlands as she did lanterns
So, we add 7 to the number of lanterns bought (4)
7 plus 4 equals 11
To find the cost of the total garlands bought
We multiply the cost of each garland ($3.50) by the number of garlands bought (11)
3.50 multiplied by 11 equals 38.5
Now we can add up the costs of all the items
26+21+60+38.5=145.50
145.50 was the total amount she spent so we know it is the correct answer.
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Find the area of the shaded figure. To do so, subtract the area of the smaller
square from the area of the larger square,
Square
(x²-3)
x meters
meters
The area of the shaded region is
(Simplify your answer. Do not factor)
Answers
Answer:
x⁴ - 8x² + 9
Step-by-step explanation:
The Area of the smallest square is A1 = x . x = x²
The Area of the second square is A2 = ( x² - 3 )(x² - 3)
A2 = x⁴ - 3x² - 3x² + 9
A2 = x⁴ - 6x² + 9
The Area of the Shaded shape is A2 - A1
x⁴ - 6x² + 9 - x²
x⁴ - 8x² + 9
Tlaloc pumped up 56 balls. He pumped up 5 dodge balls for every 9 other balls. Complete the table.
Answers
Total: 14 (just add 5 + 9)
56/14 = 4, so we know each will be multiplied by 4
Dodgeballs: 5 * 4 = 20
Other: = 9 * 4 = 36
Total balls will be 14, dodge balls will be 20 and the number of other balls will be 36.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In another word, the equation is a set of variables that have been constructed.
In other words, an equation is a set of variables that are constrained through a situation or case.
The total ball will be the sum of dodge ball + other ball so it will be
5 + 9 = 14
The number of pumped up for a single ball
56/14 = 4
So the number of Tlaloc pumps of dodge ball will be 5 × 4 = 20.
Number of Tlaloc pump of other ball = 9 × 4 = 36.
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Roma swims at a rate of 54 metre per minute. At this rate how long does she take to swim 270 metre ?
Answers
Answer:
Step-by-step explanation:
54 times 270 = 14580
can someone help me solve 32 + 1 x 2
Answers
Mai is riding her bicycle she rides at a speed
Answers
ANSWER
\(3.2hours\)EXPLANATION
Given;
\(\begin{gathered} speed=\frac{8km}{hr} \\ distance=25.6km \end{gathered}\)Recall;
\(\begin{gathered} time=\frac{distance}{speed} \\ =\frac{25.6}{8} \\ 3.2 \end{gathered}\)Therefore, the time taken is 3.2hours.
What's the greatest common factor 25x^2 and 100x^4y^2
Answers
Answer:
I D K
Step-by-step explanation:
HELP PLEASE WILL MARK BRAINLIST
Answers
Because you do 8 across from the top times 5 blocks going down which is 40. Then you add the four half pieces which equals 2 so 40+2= 42
The ratio of ones digit of a two-digit number to the tens digit is one-third. The ones digit is four less than the tens digit. What is the number.
Answers
Answer:
4
Step-by-step explanation:
What value of x is in the solution set of the inequality 4x - 12 ≤ 16 + 8x?
O-10
997
-9
-8
O-7
Answers
Answer:
-7
Step-by-step explanation:
Given inequality:
\(4x - 12 \leq 16 + 8x\)
Subtract 4x from both sides:
\(\implies 4x - 12-4x \leq 16 + 8x -4x\)
\(\implies -12\leq 16+4x\)
Subtract 16 from both sides:
\(\implies -12-16\leq 16+4x-16\)
\(\implies -28\leq 4x\)
\(\implies 4x \geq -28\)
Divide both sides by 4:
\(\implies 4x \div 4 \geq -28 \div 4\)
\(\implies x \geq -7\)
This means that x is equal to or greater than -7.
Therefore, the value of x that is in the solution set of the inequality is -7 as -10, -9 and -8 are all less than -7.
Answer:
x ≥ -7
Step-by-step explanation:
Given inequation,
→ 4x - 12 ≤ 16 + 8x
Then the value of x will be,
→ 4x - 12 ≤ 16 + 8x
→ 4x - 8x ≤ 16 + 12
→ -4x ≤ 28
→ x ≥ 28/-4
→ [ x ≥ -7 ]
Hence, the value of x is -7.
Complete the statements by writing the number from the graph.
The substance is in the gas phase only in region _.
The substance is in both the liquid and the solid phase in region _.
The substance is in only the liquid phase in region _.
The melting point is the temperature at region _.
The boiling point is the temperature at region _.
Answers
A. The substance is in the gas phase only in region 5.
B. The substance is in both the liquid and the solid phase in region 2.
C. The substance is in only the liquid phase in region 3.
D. The melting point is the temperature at region 2.
E. The boiling point is the temperature at region 4.
What is meant by the term temperature?Temperature is a measure of how hot or cold something is conveyed in terms of one of several scales, such as Fahrenheit and Celsius.For the given question, the correct depiction of the expressions are is;
Melting or fusion is a process wherein the phase transitions from solid to liquid at a constant temperature.Freezing is a process wherein the phase transitions from liquid to solid at a constant temperature.Evaporation is a process where the phase transitions from liquid to gaseous at a constant temperature.Condensation is a process where the phase transitions from gaseous to liquid at a constant temperature.Sublimation is a process during which the phase transitions from solid to gaseous without passing through a liquid state at a constant temperature.Thus, the result for the graph will be-
A. The substance is in the gas phase only in region 5.
B. The substance is in both the liquid and the solid phase in region 2.
C. The substance is in only the liquid phase in region 3.
D. The melting point is the temperature at region 2.
E. The boiling point is the temperature at region 4.
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Answer:
A. The substance is in the gas phase only in region 5.
B. The substance is in both the liquid and the solid phase in Region 2.
C. The substance is in only the liquid phase in region 3.
D. The melting point is the temperature at region 2.
E. The boiling point is the temperature at region 4.
Step-by-step explanation:
Simplify 2m^2 – 2m + 3m^2
Answers
Answer:
5m^2-2m
Step-by-step explanation:
2m^2-2m + 3m^2
5m^2-2m
Answer:
5m² - 2m
Step-by-step explanation:
Given
2m² - 2m + 3m² ← collect like terms
= (2m² + 3m²) - 2m
= 5m² - 2m
Can someone help please?
Answers
The leading coefficient of f(x) is positive, which means that the graph will be pointing upwards on both ends. The graph is attached below.
What is the significant use of graphs in real life?Graphs are a not unusual place technique to visually illustrate relationships within side the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately within side the textual content and in much less space.
To sketch the graph of f(x) = x^4 - 3x^3 + x - 3, we can use the information gathered from analyzing the function:
The leading coefficient of f(x) is positive, which means that the graph will be pointing upwards on both ends.The constant term of f(x) is negative, which means that the graph will be crossing the x-axis at some point.The first derivative of f(x) is f'(x) = 4x^3 - 9x^2 + 1, which has critical points at x = -1/2, x = 0, and x = 9/4.The second derivative of f(x) is f''(x) = 12x^2 - 18x, which helps us determine the concavity of the graph.Using this information, we can sketch the graph of f(x) as follows:
The graph will pass through the point (0, -3), where it crosses the x-axis.The critical points of f(x) divide the x-axis into four intervals: (-∞, -1/2), (-1/2, 0), (0, 9/4), and (9/4, ∞).The second derivative of f(x) is positive on the interval (-∞, 0) and (9/4, ∞), which means that the graph is concave upwards on these intervals.The second derivative of f(x) is negative on the interval (-1/2, 9/4), which means that the graph is concave downwards on this interval.The critical point at x = -1/2 is a relative maximum, since the first derivative changes sign from negative to positive at this point.The critical point at x = 0 is a relative minimum, since the first derivative changes sign from positive to negative at this point.The critical point at x = 9/4 is another relative maximum, since the first derivative changes sign from negative to positive at this point.Putting all of this information together, we can sketch the graph of f(x) as shown below:
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The mean, median, and mode have the same value for which of the following probability distributions?
A. Uniform
B. Normal
C. Exponential
D. Poisson
Answers
The answer is B. Normal. For a normal distribution, the mean, median, and mode are all equal to each other.
- Mean: The mean of a normal distribution is the center of the distribution, which is also the highest point of the bell-shaped curve.
- Median: The median of a normal distribution is the same as the mean, since the distribution is symmetric around the center.
- Mode: The mode of a normal distribution is also the same as the mean and median, since the highest point of the curve (i.e. the mode) is at the center of the distribution.
For the other probability distributions:
- A. Uniform: A uniform distribution has no mode (or multiple modes), and the mean and median are equal but different from the mode (if it exists).
- C. Exponential: An exponential distribution has a mode of 0, a median of ln(2)/λ, and a mean of 1/λ. Therefore, the mean, median, and mode are not equal.
- D. Poisson: A Poisson distribution has a mode of the integer part of λ (i.e., the highest probability mass function value). The mean and median are both equal to λ. Therefore, the mode is not necessarily equal to the mean and median.
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6. Pre-CS responding of 81 and a CS responding of 49 : ?
7. What does CS responding mean?
8. What does a suppression ratio of zero mean? Explain in terms of both responding and fear.
Answers
CS responding of 81 refers to the response to a conditioned stimulus. A suppression ratio of zero means no fear response is observed, indicating no learned association between the conditioned stimulus and the aversive outcome.
“CS responding” refers to the response elicited by a conditioned stimulus (CS). A conditioned stimulus is a neutral stimulus that, through repeated pairing with an unconditioned stimulus (UCS), acquires the ability to elicit a conditioned response (CR). The CS responding value represents the level or frequency of the conditioned response.
Now, let’s address the concept of a suppression ratio. In fear conditioning experiments, a common way to measure fear is through a suppression ratio, which is calculated by dividing the number of responses emitted during the CS presentation by the total number of responses emitted during a specific period, usually including both the CS and a baseline period.
A suppression ratio of zero indicates that no suppression of responding occurs during the presentation of the conditioned stimulus. This means that the individual is not showing any reduction in their responding when the CS is presented compared to the baseline period.
In terms of both responding and fear, a suppression ratio of zero suggests that the individual is not associating the CS with the aversive outcome (UCS) and does not exhibit any fear response. Essentially, there is no behavioral evidence of conditioned fear or a learned association between the CS and the aversive stimulus.
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what is 28.5 inches in height?
Answers
2/5 of number n is 18, find the value of n
Answers
Answer:
n= 45
Step-by-step explanation:
2/5×n=18
2n/5=18
2n/2=90/2
n=45
Is (x + 6) a possible length of a rectangle if the area is x^2 + x − 30? Use an area model to prove your answer.
Can you use an area model to find the length and width of:
Answers
The answer is yes, (x + 6) is a possible length of a rectangle with area x² + x − 30.
To determine whether (x + 6) is a possible length of a rectangle with area x^² + x − 30, we can use an area model to visualize the situation.
First, we need to find the width of the rectangle.
The area of a rectangle is given by the formula A = lw,
where A is the area, l is the length, and w is the width.
We are given that the area is x² + x − 30, so we can set this equal to lw and solve for w:
x² + x − 30 = (x + 6)w
w = (x² + x − 30)/(x + 6)
The length of a rectangle must be greater than or equal to its width, so we need to check whether (x + 6) is greater than or equal to (x² + x − 30)/(x + 6). This simplifies to:
(x + 6) ≥ x² + x − 30
Expanding the left side and simplifying, we get:
x² + 12x + 36 ≥ x² + x − 30
11x ≥ -66
x ≥ -6
Since x must be a positive number (since we are dealing with lengths), we can conclude that (x + 6) is the possible length of the rectangle. Therefore, the answer is yes, (x + 6) is a possible length of a rectangle with an area x² + x − 30.
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which of the following graphs dont belong and why?
Answers
Answer:
Upper Right
Step-by-step explanation:
All of them have different dips, therefore the one facing in a different direction must be the odd one out.
Answer:
top right graph
Step-by-step explanation:
3 of the 4 graphs start at negative infinity for negative x, and approach infinity as x approaches infinity.
The top right graph starts at infinity for negative x and approaches negative infinity as x approaches infinity.
Answer: top right graph
the measure of the total audience size for a given platform is determined by which metric?
Answers
Audience reach is a metric that is used to measure of the total audience size for a specific provide platform.
Audience reach answers the question of how many people have had the opportunity to consume (i.e. read, watch, and/or hear) news coverage of whatever you're watching. This metric is based on known circulation, viewership, audience size and followers of media outlets or social media users who publish the content in question. For the audience size of the publication/social media user providing the content is identified and then this number is added to the audience size of all other outlets publishing the content to give the total audience reach.
The first relates to viewership data for traditional online news content. Some in the measurement industry use the value of unique website visitors per month for audience reach calculations, while others use daily website traffic data. The second thing to keep in mind is that some PR or media measurement firms may use multipliers when calculating audience reach to account for dozens of people read that one copy.Hence, required answer is audiance reach.
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Determine the slope of the line through the given points.
(1,4) and (6, -4)
Answers
Answer:
the slope of line is -8/5.
Step-by-step explanation:
here x1=1. y1=4
x2=6. y2=-4
we know that slope of line =y2-y1/x2-x1
=-4-4/6-1
=-8/5
here the slope of line is -8/5
Mary is averaging her grandchildren’s credit scores. She has arranged the scores in the table shown below. What is the median credit score in this group? (Round to the nearest whole point, if applicable. ) 639 732 790 837 677 744 637 821 a. 735 b. 738 c. 757 d. There is no median in this group.
Answers
By applying the formula we got 738 is median credit score of mary.
What is median?The median is the middle number in a sorted, ascending or descending, list of numbers
Given credit score
639 732 790 837 677 744 637 821
First we will arrange data in ascending order
so ascending order is 637,639,677,732,744,790,821,837
Here total number of terms n= 8
which is even
so median is
\(\frac{(n/2)^{th } observation+(n/2 +1)^{th} observation )}{2}\)
so median
\(=\frac{(8/2)^{th } observation+(8/2 +1)^{th} observation )}{2}\\\\=\frac{(4)^{th } observation+(5)^{th} observation )}{2}\\\\=\frac{732+744}{2}\\\\=\frac{1476}{2}\\\\=738\)
By applying the formula we got 738 is median credit score of mary .
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Answer:
✅ B. 738I got it right ⬇️
Determine the distance between the point (-6,-3) and the line = (2,3)+s(7,-1), s € R. a) 4 Ob) 5√2 Oc) 5√5 3 d) 2/1/2
Answers
None of the provided options (a, b, c, d) is the correct answer.
To determine the distance between a point and a line, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is given by:
Distance = |Ax + By + C| / √(A^2 + B^2)
Where the line is represented by the equation Ax + By + C = 0, and the point has coordinates (x, y).
In this case, the line is represented by the equation 2 + 7s = 3 + (-1)s, which can be rearranged as 8s = 1. Solving for s, we find s = 1/8.
Now, let's substitute the values into the formula to calculate the distance between the point (-6, -3) and the line:
Distance = |2(-6) + (-1)(-3) + C| / √(2^2 + (-1)^2)
To determine the value of C, we substitute the coordinates of the point (-6, -3) into the equation of the line:
2 + 7s = -6 + (-1)s
Substituting s = 1/8, we find 2 + 7(1/8) = -6 + (-1)(1/8)
Simplifying the equation, we get 2 + 7/8 = -6 - 1/8
Combining like terms, we have 15/8 = -49/8
Since these two equations are inconsistent, there is no value of C that satisfies both equations. Therefore, the distance between the point (-6, -3) and the line is undefined.
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It’s urgent plz answer it
Answers
Answer: D
Step-by-step explanation:
The increase in temperature is positive, and the absolute value is always positive. So |-8 - 23| is your answer.
Given a right triangle with sides a = 3 , b = 4, and c = 5. Find the missing side c of another right triangle with a = 6 and b = 8 ? Explain your answer. plz answer
Answers
Answer:
c=10
Step-by-step explanation:
c² =8²+6²
c² =64+36
c²= 100
\( \sqrt{100} \)
= 10
Cuantas cifras se emplean para numerar las 48 paginas de una revista?
Answers
Answer:
Para hacer una revista de más de 16 páginas, se cotejan múltiples 'secciones' dobladas ... Entonces 16, 32, 48 páginas etc. ... usted con información técnica sobre números de página, encuadernación y cualquier otra impresión, correo o logística relacionada preguntas. ... El uso de este sitio está sujeto a los Términos y condiciones de uso de nuestro sitio web, que están disponibles aquí.
Step-by-step explanation:
HELP WILL MARK BRAINLIEST
Answers
Answer:
3*3*3-1*1
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
3x3=9
1x2=2
so 9-2=7
One half + four fifths vertical
Answers
Answer:
1 1/2+4/5 and the vertical would be graphed?