The number of trout in America since 2000 is given by the following formula:
\(y=x^2+3x+2\)
"x" is the number of years and "y" is the number of trout in the millions.
Based on this formula, estimate the number of trout in the years 2005, 2010, and 2015.
Describe the trend in the number of trout as the years increase.
Answers
Answer:
See below
Step-by-step explanation:
Given formula
y = x² + 3x + 2x- is the number of years after 2000,y - is the number of troutYear 2005, finding number of trout
x = (2005 - 2000) = 5y = 5² + 3*5 + 2 = 42 millionsYear 2010, finding number of trout
x = (2010 - 2000) = 10y = 10² + 3*10 + 2 = 132 millionsYear 2015, finding number of trout
x = (2015 - 2000) = 15y = 15² + 3*15 + 2 = 272 millionsNumber of trout is trending up with significant increase over yeas
Answer:
42 million132 million272 millionThe number of trout inceases a lot each 5 years that pass.Step-by-step explanation:
Number of trout in 2005.
Find the number of years apart from 2000 to 2005.
2005 - 2000 = 5
Substitute for x and solve for y.
y = x² + 3x + 2
y = (5)² + 3(5) + 2
y = 25 + 15 + 2
y = 40 + 2
y = 42 million
Number of trout in 2010.
Find the number of years apart from 2000 to 2010.
2010 - 2000 = 10
Substitute for x and solve for y.
y = x² + 3x + 2
y = (10)² + 3(10) + 2
y = 100 + 30 + 2
y = 130 + 2
y = 132 million
Number if trout in 2015.
Find the number of years apart from 2000 to 2015.
2015 - 2000 = 15
Substitute for x and solve for y.
y = x² + 3x + 2
y = (15)² + 3(15) + 2
y = 225 + 45 + 2
y = 270 + 2
y = 272 million
Best of Luck!
Related Questions
A linear relationship with a slope of 2 and a
y-intercept of 3
Answers
Answer:
y = 2x+3
Step-by-step explanation:
Formula: mx+b
m = slope
b = y-intercept
----
m = 2
b = 3
so y = 2x+3 is the linear relationship
Answer:
The linear relationship is represented by y = 2x + 3.
Step-by-step explanation:
We are given a y-intercept of an equation as well as a slope:
slope = 2y-intercept = 3We can use this information and substitute it into the slope-intercept form equation to get our linear relationship:
y = mx + bIn this formula, m is our slope and b is our y-intercept.
Therefore:
m = 2b = 3Finally, let us substitute these into the equation:
\(y = 2x + 3\)This is our final equation.
please help asap im so confused detailed answer please
Answers
Answer:
326 ft²
Step-by-step explanation:
You want to know the area of the library, which is a composite shape.
AreaThe area of a composite shape is found by dividing it into shapes whose areas are easy to find. The area of the shape will be a combination of the areas of the simpler shapes.
The formula for the area of a rectangle is ...
A = LW
Extending the middle horizontal line will divide the figure into two rectangles whose dimensions are given on the figure.
The upper rectangle is 30 ft wide and 5 ft high, so its area is ...
A = (30 ft)(5 ft) = 150 ft²
The lower rectangle is 22 ft wide and 8 ft high, so its area is ...
A = (22 ft)(8 ft) = 176 ft²
The area of the library will be the sum of these two rectangular areas:
library area = 150 ft² +176 ft² = 326 ft²
The library area is 326 square feet.
__
Alternate solution
The area could be considered to be a rectangle that is 30 ft wide by 5+8=13 ft high, with a rectangle 30-22=8 ft wide and 8 ft high removed from the lower left corner. The difference in area between the overall rectangle and the removed rectangle is ...
(30 ft)(13 ft) -(8 ft)(8 ft) = 390 ft² -64 ft² = 326 ft²
The method shown above does not require calculating missing dimensions, so is more straightforward.
I genuinely need this and am giving 50 pts.
find the area of the triangle pls.
and the bottom number is a 10
options:
30.0 yd2
15.0 yd2
6.5 yd2
13.0 yd2
Answers
FromHello, Volent strawberry is here to help!
Answer: 15.0 yd2
I hope this helps!
Bye have a nice day!
From: Miko
Answer:
1. Multiply the two legs of the triangle
3 x 10 = 30
2. Divide that number by 2
30 / 2 = 15
The area of the triangle is 15 yd2
x-x
find the area of the face DGHA in this cuboid 7cm , 9cm , 4cm please help
Answers
Answer:
322cm
Step-by-step explanation:
Equation: 2h(l+w)
length- 9cm; width- 4cm; height- 7cm
2*7(9+4)
Add within the parenthesis first
2*7(23)
Multiply 7 with 23
2(161)
Multiply
322
This is what I got. Good luck!
find the exact value of n in 9⅓ ×27^n = 27⅘ and express it in fraction . Its urgent
Answers
Answer:
n = 26/45
Step-by-step explanation:
If the 9⅓ and 27⅘ are supposed to be \(9^{1/3}\) and \(27^{4/5}\), then
\(9^{1/3}\) × \(27^{n}\) = \(27^{4/5}\)
=> \((3^{2})^{1/3}\) × \((3^3)^{n}\) = \((3^3)^{4/5}\)
=> \(3^{2/3}\) × \(3^{3n}\) = \(3^{12/5}\)
=> \(3^{3n+\frac{2}{3}}\) = \(3^{12/5}\)
=> 3n+2/3 = 12/5
=> 45n + 10 = 36
=> 45n = 26
=> n = 26/45
Which values are solutions to the inequality?
5r≤6r−8
Select each correct answer.
Responses
r = 7
r = 8
r = 9
r = 10
Answers
Answer:
r=8, r=9, r=10
Step-by-step explanation:
5(7)≤6(7)-8
35≤42-8
35≤34
not true.
5(8)≤6(8)-8
40≤48-8
40≤40
true.
5(9)≤6(9)-8
45≤54-8
45≤46
true.
5(10)≤6(10)-8
50≤60-8
50≤52
true.
have a great day!
16 = (16 – 4 X 2) =
Answers
Answer:
False
Step-by-step explanation:
PEMDAS is your order of operations, so you would do the multiplication in the parenthesis first.
\((16-4*2) = (16-8) = 8\)
16 isn't equal to 8 so the answer would be false.
Answer:8
Step-by-step explanation:4 times 2=8 so 16-8=8
Population of California in the year 1995 was 32 million. If the population grows at a rate of 2%, what will the population be in 2025?
Answers
Answer:
hi 51.2 is the answer
Step-by-step explanation:have a good day.
The population of California in the year 2025 is approximately 57.96 million.
To calculate the population of California in 2025, we need to use the population growth formula:
Population in the future = Population in the present * \((1 + Growth rate)^{Number of years}\)
Given:
Population in 1995 = 32 million
Growth rate = 2% = 0.02 (in decimal form)
Number of years = 2025 - 1995 = 30 years
Now, let's calculate the population in 2025:
Population in 2025 = 32 million * (1 + 0.02)³⁰
Population in 2025 ≈ 32 million * (1.02)³⁰
Population in 2025 ≈ 32 million * 1.8114
Population in 2025 ≈ 57.9648 million
Therefore, the population of California in the year 2025 is approximately 57.96 million.
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A. 1/3
B. 5/13
C. 4/5
D. 12/13
Answers
Answer:
5/13
Step-by-step explanation:
OM is 5 and OL is 13 use Pythagoreans theorem
Ruby has 20 oranges. If she eats 3/5 of them, how many does she have left.
Answers
Answer:
She has 12 oranges left
Step-by-step explanation:
convert 3/5 to a decimal
3÷5=0.6
then multiply that by 20
0.6*20=12
add and write the fraction or mixed number in it's simplest form 2/5+1/4+7/10
Answers
in this case, it would be 20
change the numerator too
8/20 + 5/20 + 14/20 = 27/20
mixed is 1 7/20
Answer:
1 7/20
Step-by-step explanation:
I think that's the answer.
The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students’ proficiency in nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The main NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12.
In 2002, the reading scores for female students had a mean of 269 with a standard deviation of 33. Assume that these scores are normally distributed with the given mean and standard deviation.
Identify the scores that are three standard deviationsabove and below the mean of the population. For this example, the limits will be 269 ± (33)(3). The lower limit is . The upper limit is . The probability that a female student will have a score between these limits is .
A score of 302 is above the mean. As a result, the percentage of female students with scores below 302 is .
You can infer that 97.72% of the female students have scores above .
Answers
"97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits
To calculate the scores that are three standard deviations above and below the mean, we use the formula:
Lower limit = Mean - (Standard Deviation * 3)
Upper limit = Mean + (Standard Deviation * 3)
Given:
Mean = 269
Standard Deviation = 33
Using the formula, we can calculate the limits:
Lower limit = 269 - (33 * 3) = 269 - 99 = 170
Upper limit = 269 + (33 * 3) = 269 + 99 = 368
Therefore, the lower limit is 170 and the upper limit is 368.
To calculate the probability that a female student will have a score between these limits, we need to find the area under the normal distribution curve between the lower and upper limits. This can be calculated using a standard normal distribution table or calculator.
Since the distribution is assumed to be normal, approximately 99.72% of the scores will fall within three standard deviations from the mean. Therefore, the probability that a female student will have a score between these limits is approximately 99.72%.
For a score of 302, which is above the mean of 269, we can calculate the percentage of female students with scores below 302:
Percentage = (1 - Probability) * 100
= (1 - 0.9972) * 100
= 0.0028 * 100
= 0.28%
Therefore, approximately 0.28% of the female students have scores below 302.
It's important to note that the value mentioned, "97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits
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The area of a rectangular window is 3816 cm
If the length of the window is 72 cm, what is its width
Answers
Answer: The width of the rectangular window is 53 cm.
Step-by-step explanation:
We know that the area of a rectangle is given by the formula:
Area = Length x Width
Substituting the given values, we have:
3816 cm² = 72 cm x Width
To solve for the width, we can divide both sides by 72 cm:
Width = 3816 cm² ÷ 72 cm
Width = 53 cm
Therefore, the width of the rectangular window is 53 cm.
what ratio represents the tangent of
Answers
Answer:
Step-by-step explanation:
15/8
give me brainliest pls
Brainliest pls :D
There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor; position 2 is the night nursing supervisor; and position 3 is the nursing coordinator position. There are 16 candidates qualified for all three of the positions. Determine the number of different ways the positions can be filled by these applicants. Step 1 There are three different positions that must be filled, and there are 16 possible candidates that can fill the positions. We need to count the number of ways to pick 3 of the 16 candidates. Recall there are two ways to count the number of ways to choose r of n objects: permutations and combinations. For permutations, the order the items are selected matters, but for combinations the order does not matter. Consider the following situations. Situation 1: Candidate A gets position 1, Candidate B gets position 2, and Candidate C gets position 3 Situation 2: Candidate A gets position 3, Candidate B gets position 2, and Candidate C gets position 1. The same three candidates have been selected, but the positions they fill are different. This indicates that the order of selection mattersmatters. So, we should use permutationspermutations to count. Step 2 Recall the Counting Rule for Permutations; the number of ways to arrange in order n distinct objects, taking n! them r at a time, is Pa,--y, where n and r are whole numbers and n2r. n(n - r)! The total number of nurse candidates is 16 and the number of positions to fill is 3. Using the formula to compute P16,3, substitute 16 simplify. for n and 3 for r, and 16! n! X3! 16! X!
Answers
Number of 3 nursing position filled for 16 candidates are as follows:
a. If order of the position matters then position can be filled in 3360 ways using permutation.
b. If order of the position does not matters then position can be filled in 560 ways using combination.
As given in the question,
Total number of candidates = 16
Number of nursing position to be filled = 3
a. If order of the position matters:
Position can be filled using permutation
= ¹⁶P₃
= 16! / (16-3)!
= 16 × 15 × 14 ×13! / 13!
= 16 × 15 × 14
= 3360ways
b. If order of the position does not matters:
Position can be filled using combination
= ¹⁶C₃
= 16! / (16-3)!3!
= 16 × 15 × 14 ×13! / 13!3!
= (16 × 15 × 14)/ ( 3 ×2 ×1)
= 560ways
Therefore, the 16 candidates can filled 3 nursing position in the following ways:
a. a. If order of the position matters then position can be filled in 3360 ways using permutation.
b. If order of the position does not matters then position can be filled in 560 ways using combination.
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The heights of the girls in Leila’s class to the nearest 1/2 inch are: 56 1/2,57,56 1/2,58,58,57 1/2,57 1/2,57,58 1/2, and57.Leila makes a dot plot of data. How many different heights will be included on the number line
Answers
If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.
What is a dot plot?A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.
The number of dots plotted on each number line shows the frequency of the data group.
Height Frequency Cumulative Frequency
56¹/₂ 2 2
57 2 4
57¹/₂ 2 6
58 2 8
58¹/₂ 1 9
Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.
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Below is the graph of a polynomial function with real coefficients
(a) The function f is increasing over which intervals? Choose all that apply.
D(-0, -8)
O (-5,-2) O (-8, -2) O (-2,
2) (2,5)
O (5, 0 )
?
(b) The functionfhas local maxima at which x-values? If there is more than one value,
separate them with commas.
(c) What is the sign of the leading coefficient of f?
Select One
(d) Which of the following is a possibility for the degree of f? Choose all that apply.
4
5
6
Please help if you can thank you
Answers
9514 1404 393
Answer:
(a) (-∞, -8), (-5, -2), (2, 5)
(b) -8, -2, 5
(c) negative
(d) 6
Step-by-step explanation:
(a) The function is increasing on intervals where the graph slopes upward left-to-right. Those are (-∞, -8), (-5, -2), and (2, 5).
__
(b) The local maxima are at the right end of each interval on which the function is increasing: -8, -2, 5.
__
(c) The function opens downward (∩), so has a negative leading coefficient.
__
(d) There are three local maxima and two local minima (left end of an increasing interval), so a total o 5 turning points. The degree of the polynomial is at least one more than this: 6.
pless i really need help
Answers
Perimeter of the parallelogram = 210 in.
Area of parallelogram = 2,484 in.²
What are the Perimeter and Area of a Parallelogram?Perimeter of parallelogram = 2(a + b), where a and b are its sides.
Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.
Given:
a = 51 in.
b = 54 in.
h = 46 in.
Perimeter of the parallelogram = 2(54 + 51) = 210 in.
Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²
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Due to recent demand,Target is raising the price of a video game by 24%. If the game was previously sold for $25, what is the new price
Answers
Answer:
25*.24=6
25+6=31
Step-by-step explanation:
Merrisa is booking a holiday costing £660.
She needs to pay a deposit of of the total cost of the booking
How much does she pay?
Answers
The amount of money she will have to pay for booking of the holidays would be = £220
How to calculate the amount ofr deposit?The total amount of money that will cost Merrisa for booking of holidays = £660
The fraction of the total cost that she needs to deposit = 1/3
Therefore, the actual amount that she needs to deposit = 1/3 of £660
= 1/3× 660
= £220
Therefore, in conclusion, Merrisa would have to pay a total of £220 for booking of the holidays. This total amount is ⅓ of total cost of booking.
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i need help on a math question thank u
Answers
Answer:
XZ is longer than XY
Step-by-step explanation:
First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.
(1, -1) and (-5, -5)
-5- -1 = -4
-5-1 = -6
-4^2+-6^2 = c^2
16+36 = c^2
52 = c^2
7.21110255 = c
So, the length of XZ is 7.21110255 units long
(1, -1) and (8, -2)
8-1 = 7
-2--1 = -1
7^2+-1^2 = c^2
49+1 = c^2
50 = c^2
7.07106781 = c
So, the length of XY is 7.07106781 units long.
XZ is longer than XY
For Jason, it takes 3 hours to clean the attic. However, Sara takes 6
hours to complete the same job. If working together, how long would they take?
Answers
Answer:
2
Step-by-step explanation:
I think bc I just divide im guessing
To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.
Answers
The missing values in the quantitative reasoning given are : -2, 13 and 9
Given the rule :
square = circle + circleWe can deduce that :
circle = square - circleFor the left circle :
circle = -6 - (-4) = -6 + 4 = -2
For the right circle :
circle = 11 - (-2) = 11 + 2 = 13
For the left square :
square = 13 + (-4)
square = 13 -4 = 9
Therefore, the missing values are : -2, 13 and 9
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A piece of art is in the shape of a rectangular pyramid like the figure shown.
A rectangular pyramid with a base of dimensions 7 feet by 6 feet. The two large triangular faces have a height of 7.79 feet. The two small triangular faces have a height of 8 feet.
How much glass is needed to cover the entire pyramid?
Answers
After answering the provided question, we can state that As a result, 145.62 square feet of glass are required to cover the entire pyramid.
what is pyramid?A pyramid is a polygon formed by connecting points known as bases and polygonal vertices. For each hace and vertex, a triangle known as a face is formed. A cone with a polygonal shape. A pyramid with a floor and n pyramids has n+1 vertices, n+1 vertices, and 2n edges. Every pyramid is dual in nature. A pyramid contains three dimensions. A pyramid is made up of a flat tri face and a polygonal base that come together at a single point known as the vertex. A pyramid is formed by connecting the base and peak. The base's edges form triangle faces known as sides that connect to the top.
To determine how much glass is required to cover the entire pyramid, we must first determine the total surface area of the pyramid, including the base.
The formula for calculating the surface area of each triangular face is:
(1/2) x width x height
27.31 square feet = (1/2) x 7 feet x 7.79 feet
24 square feet = (1/2) x 6 feet x 8 feet
Simply multiply the length and width to find the area of the rectangular base:
7 feet by 6 feet equals 42 square feet
As a result, the total surface area of the pyramid is:
145.62 square feet = 2 (27.31 square feet) + 2 (24 square feet) + 42 square feet
As a result, 145.62 square feet of glass are required to cover the entire pyramid.
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Answer: 102.53
Step-by-step explanation: I calculated all the numbers you gave me and then added them to get 102.53
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
Answers
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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The pilot of an airplane flying at an elevation of 5000 feet sights two towers that are 300 feet apart. If the angle of depression to the tower closer to him is 30, determine the angle of depression to the second tower.
Answers
Answer: 29.2 degree
Step-by-step explanation:
Given data:
Elevation of the pilot = 50,000 feet
Elevation of the two towers = 300 feet apart.
Depression of closer tower = 30
Solution:
The angle of depression to the second tower is x
tanx = 5000/(5000*√(3)+300)
x=29.2
Therefore the angle of depression of the second tower is at 29.2 degree
Answer:
29.2°
Step-by-step explanation:
From diagram (b)
Tan θ= opp/adj
Where θ = 30°
opp = 5000ft
adj = ?
tan 30° = 5000/x
x tan30° = 5000
x = 5000/tan 30
x = 5000/0.577
x = 8665.5ft
From diagram c
tan θ = opp/adj
Where θ = ?
opp = 5000
adj = 300+x
x= 8665.5
tan θ = 5000/300+8665.5
tan θ = 5000/8965.5
tan θ = 0.55769
θ = arch tan 0.55769
θ = 29.147
θ= 29.2°
HELP!
Additive volume of rectangular prisms TRUE/FALSE?
Answers
HELP PLEASE AS SOON AS POSSIBLE WILL GIVE U BRAINLIST
Answers
Answer:
The table represents a nonlinear function because the rate is not constant.
Step-by-step explanation:
As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.
what is the answer to this equation 21 x ___=7
Answers
Answer:
the answer is 3
Step-by-step explanation:
21 x 3 =7
hope it helps
Answer:
21/7
Step-by-step explanation:
Move 7 to next side with opposite process it is multiple after move it will be divided so 21x (21/7) it will be 7 although (21/7)equivalent to 1/3
I need help please help me o need the answer in 5 minutes I’ll give you brainlest!
Answers
Answer:
7b + 29 ≤ -26
Step-by-step explanation:
Given information:
The sum of a number times 7 and 29 is at most -26.
Sum- is referring to Addition ( + )
Times- is referring to Multiplication ( × )
At most - is referring to maximum. The maximum amount that it can get. Which ≤ means less than or equal to which refers to "At Most"
Hence, the inequality is
7b + 29 ≤ -26
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