The solution is after 3 yrs the populations of the two types of fish be the same.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
let, after t yrs the populations of the two types of fish be the same.
so, we get,
5750-250t = 3500+ 500t
2250=750t
t=3
Hence, The solution is after 3 yrs the populations of the two types of fish be the same.
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Amanda invests 5000 in a CD at an annual rate of 2%. What will her investment be worth at the end of three years?
I got $5,300. But probably wrong.
after driving to a riverfront parking lot, bob plans to run south along the river, turn around, and return to the parking lot, running north along the same path. after running 3.25 miles south, he decides to run for only 50 minutes more. if bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes?
A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra.
What is meant by equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Mathematical equations with two expressions on either side of the "equal to" sign are referred to as simple equations.
Let the distance he walks till turning back be 'd',
The total distance while returning back = d + 3.25 miles
Time per unit mile = 8 minutes,
Total distance he walks after already completing 3.25 miles
= 2d+3.25 miles
Therefore, total time for this distance [tex]$=(2 \mathrm{~d}+3.25) * 8=16 \mathrm{~d}+26$[/tex] minutes,
Given that it will take 50 minutes to get to the car after traveling 3.25 miles south,
Let the equation be
[tex]$$\begin{aligned}& 16 d+26=50 \\& 16 d=24 \\& d=\frac{24}{16}=1.5 \text { miles; }\end{aligned}$$[/tex]
Therefore, the required answer exists be 1.5 miles.
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a website requires that passwords only contain alphabetic characters. for each character in checkstr that is not an alphabetic character, replace the character with 'x'.
After the loop has finished executing, the 'newstr' variable should contain 'abcdxxxxxXXXXX'. The newstr variable is set to an empty string and alphabetic, numerical, and symbol characters are replaced with 'x'.
newstr = "abcdxxxxxXXXXXX
1. Initialize a new string variable called 'newstr' set to an empty string.
2. Loop through each character in the 'checkstr' variable.
3. If the character is an alphabetic character, add it to the 'newstr' string.
4. If the character is not an alphabetic character, replace it with 'x' and add it to the 'newstr' string.
5. After the loop has finished executing, the 'newstr' variable should contain 'abcdxxxxxXXXXX'.
The newstr variable is set to an empty string and alphabetic, numerical, and symbol characters are replaced with 'x'.
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g(x) = x°-27x (a) Determine whether g is even, odd, or neither (b) There is a local minimum of -54 at 3. Determine the local maximum (a) Determine whether g is even, odd, or neither O Neither O Odd O Even (b) There is a local minimum of - 54 at 3. Determine the local maximum.
The local maximum is x = 13.5 with a value of g(13.5) = (13.5)^2 - 27 * 13.5 = g(13.5) = 125.375.
(a) To determine whether a function is even, odd, or neither, we need to check if g(x) = g(-x) for all x (even), g(x) = -g(-x) for all x (odd), or neither.
g(x) = x^2 - 27x is neither even nor odd because it does not satisfy either of the two conditions for even or odd functions.
(b) To determine the local maximum, we need to find the critical points (points where the derivative is equal to zero or undefined) and then determine if they are local maxima, local minima, or neither.
g'(x) = 2x - 27, which has critical points at x = 13.5 and x = 0. Since g'(x) > 0 for x < 0 and g'(x) < 0 for x > 0, x = 0 is a local minimum. Since g'(x) < 0 for x < 13.5 and g'(x) > 0 for x > 13.5, x = 13.5 is a local maximum.
Therefore, the local maximum is x = 13.5 with a value of g(13.5) = (13.5)^2 - 27 * 13.5 = g(13.5) = 125.375.
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Simplify the following expression.
m²n³+ 18m³n² + 10m²n
2m²n
A.
B.
C.
O D.
m²n² + 9mn + 5
mn³ + 18m³n² + 8m²n
m²n² + 9mn + 5
2
²² + 16mn + 8
2
The simplification of the expression m²n³+ 18m³n² + 10m²n+2m²n is m²n ( n²+18mn+ 12)
What is simplifying expression?Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.
m²n³+ 18m³n² + 10m²n+2m²n = m²n³ + 18m³n² +12m²n
Therefore we factorize the common factors out, they are m²n
= m²n ( n²+18mn+ 12)
therefore the simplification of the expression m²n³+ 18m³n² + 10m²n+2m²n is m²n ( n²+18mn+ 12)
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What are the coordinates of the point?
Responses
(6, −3)
(−3, 6)
(3, 6)
(−3, −6)
Answer: (-3,6)
Step-by-step explanation:
The point is 3 spaces to the left in the second quadrant on the x-axis which is negative
Then it is 6 spaces up on the y-axis which is positive
9.prices in dollars of smartphones:311,309,312,314,399,312
The five-number summary for the given data include the following:
Minimum = 312.First quartile = 310.5.Median = 309.Third quartile = 335.25.Maximum = 399.What is a box-and-whisker plot?In Mathematics, a box-and-whisker plot can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the information provided above, the five-number summary for the given data set include the following:
Minimum = 312.First quartile = 310.5.Median = 309.Third quartile = 335.25.Maximum = 399.By critically observing the box-and-whisker plots or boxplot (see attachment), we can logically deduce that it has a median of 309 with an interquartile range (IQR) as follows;
Interquartile range (IQR) = Q₃ - Q₁
Interquartile range (IQR) = 335.25 - 310.5
Interquartile range (IQR) = 24.75
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Complete Question:
Determine the five-number summary for the given data. Prices in dollars of smartphones:
311, 309, 312, 314, 399, 312
i'll pick you as brainily please quick formula for finding the distance between two points
[tex]Let \: the \: two \: points \: be \: \underline{\underline{A( x_{1} ,y_{1})}} \: and \: \underline{\underline{B \: ( x_{2}, y_{2})}}[/tex]
Then ,
[tex]\boxed{d(AB) = \sqrt{ {( x_{2} - x_{1}) }^{2} + {( y_{2} - y_{1}) }^{2} } }\\ [/tex]
where , d(AB) is the distance between the two points A and B.
hope helpful! :)
Answer:
the Distance Between the two points a and b
Step-by-step explanation:
Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
find the distance between the pair of points (-22,20) and (-23,-1)
[tex]\huge\begin{array}{ccc}d=\sqrt{442}=11\sqrt2\end{array}[/tex]
A distance between two points.
The formula:
[tex]A(x_A,\ y_A),\ B(x_B,\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]
SOLUTION:
We have:
[tex]A(-22,\ 20),\ B(-23,-1)[/tex]
Substitute:
[tex]|AB|=\sqrt{(-23-(-22))^2+(-1-20)^2}=\sqrt{(-1)^2+(-21)^2}\\\\=\sqrt{1+441}=\sqrt{442}=\sqrt{121\cdot2}=\sqrt{121}\cdot\sqrt2=\boxed{11\sqrt2}[/tex]
how close to −2 do we have to take x so that the following is satisfied? (give the largest possible value.) 1 (x + 2)6 >
The largest value of x that satisfies the inequality is approximately -1.8639.
To find the largest possible value of x that satisfies the inequality 1/(x + 2)⁶ > 1,000,000, we can start by rearranging the inequality:
1/(x + 2)⁶ > 1,000,000
Taking the reciprocal of both sides:
(x + 2)⁶ < 1/1,000,000
Now, let's take the sixth root of both sides:
x + 2 < (1/1,000,000)[tex]}^{1/6[/tex]
Calculating the right side:
x + 2 < 0.1361
Subtracting 2 from both sides:
x < 0.1361 - 2
x < -1.8639
Therefore, the largest value of x that satisfies the inequality is approximately -1.8639.
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Geometry
There are 30 students in a class. They were asked if they have a cat or dog as a pet. 10 kids said they have a cat, 12 kids said they have a dog the rest said they don't have either. Of the kids that said they have a cat or dog, 3 kids said they have both pets.
(Please answer in fraction, decimal, and percent form)
a. How many students do not have either pet?
b. If a student is selected at random what is the probability that they have both pets?
c. If a student is selected at random, what is the probability that they have a cat or dog?
Answer:
a. 8
b. 1/10
c. 19/30
Step-by-step explanation:
a. 12 + 10 = 22 30 - 22 = 8
b. 3 students have both, 3/30 simplified is 1/10
not 100% sure about c. but is my best bet
The response to a question has three alternatives: A,B , and C. A sample of 120 responses provides 54 A ,24 B, and 42C . Show the frequency and relative frequency distributions (use 2 decimal for the relative frequency column)
Class Frequency Relative Frequency
A
B
C
As a result, we obtain the frequency and relative frequency distributions:
Data Relative Frequency
A 0.5
B 0.19
C 0.31
What is relative frequency?The relative frequency is the ratio of the frequency to the total frequency corresponding to each entry.
Here,
Here we have a total sample as: 120
Also, the frequency corresponding to A is: 60
Corresponding to B is: 23
and corresponding to C is: 37
Hence, the Frequency table is as follows:
Data Frequency
A 60
B 23
C 37
The relative frequency table is given by:
Data Relative Frequency
A 60/120=0.5
B 23/120=0.19
C 37/120=0.31
Hence, we get the frequency and relative frequency distributions:
Data Relative Frequency
A 0.5
B 0.19
C 0.31
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Is (1,
–
1) a solution to this system of equations?
y=3x+6
y=
–
8x+7
Answer:
No
Step-by-step explanation:
Is (1, –1) a solution to this system of equations?
-1 = 3(1)+6
-1 = 3 + 6
-1 = 9
This is wrong! (1, -1) is not a solution for this system of equations.
A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. (1) What is the area of the glass? (ii) How much of tape is needed for all the 12 edges?
The area of the small indoor greenhouse (herbarium) is equal to 4,250 cm².
The length of tape needed for all the 12 edges is equal to 320 cm.
How to calculate the area of the glass?Mathematically, the total surface area (TSA) of this glass panes (including base) can be calculated by using this mathematical expression:
Total surface area (TSA) = 2[lb + lh + bh]
Where:
l represent the length of the glass panes.b represent the breadth of the glass panes.h represent the height of the glass panes.Total surface area (TSA) = 2[(30 × 25) + (30 × 25) + (25 × 25)]
Total surface area (TSA) = 2[750 + 750 + 625]
Total surface area (TSA) = 2[2,125]
Total surface area (TSA) = 4,250 cm².
Next, we would determine the length of tape needed for all the 12 edges by using this mathematical expression:
Total length = 4(l + b + h)
Total length = 4(30 + 25 + 25)
Total length = 4(80)
Total length = 320 cm.
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Find the point in which the line meets the plane.
x = 1 - t, y = 3t, z = 1 + t; 2x - y + 3z = 6
The point in which the line meets the plane is (3/2, -3/2, 1/2)
The planes is 2x - y + 3z = 6.
The lines are x = 1 - t, y = 3t, z = 1 + t.
We now the value of x, y, z. So we put the value of x, y, z in the plane.
2x - y + 3z = 6
2(1 - t) - 3t + 3(1 + t) = 6
Simplifying
2 - 2t - 3t + 3 + 3t = 6
5 - 2t = 6
Subtract 5 on both side, we get
-2t = 1
Divide by -2 on both side, we get
t = -1/2
Now finding the value of x, y, z by putting the t
x = 1 - t
x = 1 - (-1/2)
x = 1 + 1/2
x = 3/2
y = 3t
y = 3(-1/2)
y = -3/2
z = 1 + t
z = 1 + (-1/2)
z = 1 - 1/2
z = 1/2
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Trigonometry Finding side length
Please help!!
The value of x for each given right angled triangle are:
x = 5.6x = 4.52x = 4√3x = 6.26x = 5.87Please remember that these answers are calculated using calculator.
Remember that a triangle has the sum of angles 180°; then since we have a right angled triangle, then the sum of the non-right angles in the triangle should be equal to 90°.
We use Θ as the note for the unknown non-right angle.
1. 36° + Θ = 90°
Θ = 54°
Under the Sinus Law:
x / sin 54 = 7 / sin 90
x / 0.8 = 7 / 1
x = 5.6
2. 41° + Θ = 90°
Θ = 49°
Under the Sinus Law:
x / sin 49 = 6 / sin 90
x / 0.75 = 6 / 1
x = 4.52
3. 30° + Θ = 90°
Θ = 60°
Under the Sinus Law:
x / sin 90 = 6 / sin 60
x / 1 = 6 / (√3/2)
x = 4√3
4. 37° + Θ = 90°
Θ = 53°
Under the Sinus Law:
5 / sin 53 = x / sin 90
x = 5 / 0.79
x = 6.26
5. 33° + Θ = 90°
Θ = 57°
Under the Sinus Law:
7 / sin 90 = x / sin 57
7 / 1 = x / 0.84
x = 5.87
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a four-acre lot has front footage of 250 feet. how long is it?
The length of the four-acre lot with front footage of 250 feet is approximately 693.76 feet.
In mathematics, "acre" is a unit of area that is commonly used to measure the size of a piece of land. One acre is equal to 43,560 square feet. To find the length of the lot, we need to know the area of the lot and the front footage.
Here we need to determine the length of a four-acre lot with front footage of 250 feet, we need to use the concept of area and the formula for calculating the area of a rectangle.
In this case, the area of the lot is four acres, or
=> 4 x 43,560 = 173,440 square feet.
In order to find the length of the lot, we can divide the area by the front footage, which is 250 feet.
By using the formula for the area of a rectangle, we can write this as:
=> Area = Length x Front Footage
Therefore, Length is calculated as
=> Area / Front Footage = 173,440 / 250 = 693.76 feet.
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he first three terms of a sequence are given. round to the nearest thousandth (if necessary). 2,5,8,...2,5,8,... find the 41st term.find the 41st term.
The first three terms of the sequence are 2, 5, and 8.The 41st term of this sequence is 122.
What is the 41st term of the sequence?To find the 41st term of this sequence, you can use the common difference method.Step 1: Determine the common difference by subtracting the second term from the first term, and then subtracting the third term from the second term.The common difference is:5 - 2 = 3and8 - 5 = 3Step 2: Since the common difference is the same for each pair of consecutive terms, we can conclude that this sequence is an arithmetic sequence.Step 3: To find the 41st term, you can use the formula for the nth term of an arithmetic sequence:an = a1 + (n - 1)dwhere a1 is the first term, n is the term you're looking for, and d is the common difference.Substituting in the values:an = 2 + (41 - 1)3 = 2 + (40)3 = 2 + 120 = 122So the 41st term of this sequence is 122.
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Natalie has $300 in a savings account that earns 15% interest per year. How much interest will she earn in 4 years?
Answer:
Below
Step-by-step explanation:
Interest = p r t p = principle = 300 r = decimal interest = .14 t = years = 4
Interest = 300 * .15 * 4 = 180 dollars
the sum of 2 and y aleks
The sum of the expression 2 and y is (2+ y).
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
The sum of 2 and y.
As, the sum is shows by the addition whose symbol is "+"
So, the sum of 2 and y is
= (2 + y).
Hence, the expression is ( 2+ y).
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What is Meant by Proof by Contradiction?
By assuming that the item we wish to prove is false and then demonstrating that the results of this are not feasible, we can prove something by contradiction.
What is meant by contradiction?3a + b = 1 6 . This is contradictory because 3a + b is an integer according to the closure properties, but 1/6 is not. It follows that there aren't any integers a and b for which 18a + 6b = 1. Each of the following claims can be demonstrated using contradiction. The foundation of the evidence by contradiction approach is the contradiction rule. Simple logic dictates that one should assume the falsity of any given premise or assertion. The supplied assertion must be true if this assumption results in a contradiction.When two angles of a triangle are equal, the sides that are on the other side of the equal angles are likewise equal. The evidence moves forward with the presumption that the opposing angles are not equal and creates a contradiction.To learn more about contradiction, refer to:
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The diameter of a circle is 16 meters. What is the radius?
Answer
8meters
Step-by-step explanation:
divide the diameter (16) by 2
=8
24) Find the quotient and write the answer in standard form.
(3.6×10 to the power of 10) divided by 5
Answer: Quotient is 3.6*10^10/5 and the standard form is 7.2*10^9
Step-by-step explanation:
Answer:
Step-by-step explanation:
3.6×10∧10÷5=0.72×10∧10
standard form=7.2×10∧9
A univerity tudent completed coure were three credit, and ome coure worth four credit. The tudent earned a total of 54 credit after completing 15 coure. How many coure or four credit did the tudent complete?
The student completed 9 courses of four credits each.
Let x = number of four-credit courses the student completed
If the student completed a total of 15 courses, then the expression for the number of three-credit courses the student completed is:
"15 - x"
If the student earned a total of 54 credits after completing 15 courses, then the equation to show this will be:
4x + 3(15 - x) = 54
Simplify the equation and solve for the value of x.
4x + 45 - 3x = 54
x = 9
Hence, the number of four-credit courses the student completed is 9 course.
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How do analogies help readers (1 point)
1. They help readers understand definitions
2. They help readers identify figurative language
3. They help readers analyze the relationship between words
4. They help readers to better comprehend a plot
4. They help readers to better comprehend a plot. An analogy is a comparison of two, otherwise unrelated, things based on similarities in a single feature.
An analogy is what?a comparison of two otherwise disparate objects based on a shared characteristic; similarity; similarity in some specifics between disparate things.
An example of an analogy?To provide an explanation, lets compares one thing to another. "Life is like a box of chocolates—you never know what you're going to get," as an example. When making an analogy, you can utilise metaphors and similes. What Qualifies as a Good Analogy? An effective analogy strikes a balance between the competing objectives of familiarity and representativeness. Good analogies are well-known. They provide words for an abstract concept.
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What is the simplest form of (4x3 + 6x – 7) + (3x3 – 5x2 – 5x)
Answer:
4x-4 that's what I gottt
What is the range of the function f(x) = 2x + 4 when the domain is {-2, 0, 3}?
A. {0, 4, 10}
B. All real numbers
O C. {4. 25, 5, 12}
D. {4. 25, 4, 12}
The range of the function is {0, 4, 10}. Option A. {0, 4, 10}
The concept used in finding the range of a function is called functional mapping, which maps the elements in the domain of the function to the corresponding elements in the range.
In this problem, we took a set of values in the domain of the function (which was {-2, 0, 3}) and evaluated the function for each of those values to find the corresponding outputs in the range of the function, which was {0, 4, 10}.
To find the range of the function f(x) = 2x + 4 for the domain {-2, 0, 3}, we need to calculate the output of the function for each of the values in the domain:
For x = -2: f(-2) = 2 * -2 + 4 = -4 + 4 = 0
For x = 0: f(0) = 2 * 0 + 4 = 4
For x = 3: f(3) = 2 * 3 + 4 = 10
Therefore, the range of the function is {0, 4, 10}. Option A. {0, 4, 10}
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The range of the function f(x) = 2x+4 when the domain is {-2,0,3} is {0,4,10} .
The range for this function would be {0,4,10}.
Given, Function f(x) = 2x+4
Domain = {-2,0,3}
After putting the value of x= -2 in the function f(x) =2x+4 ,
f(-2) = 2×-2+4 = -4+4= 0
After putting the value of x= 0 in the function f(x) = 2x+4
f(0)= 2×0+4 =0+4=4
After putting the value of x= 3 in the function f(x) = 2x+4
f(3) =2×3+4= 6+4= 10
Here, after putting values in function the domain will become {0,4,10}.
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Ramon took a math tet and got 35 correct anwer and 15 incorrect anwer what i the percentage of the correct anwer
The percentage of correct answers=70
what i the percentage of the correct answer?
Number of correct answers=35
number of incorrect answers=15
total number of questions=number of correct answers + number of total incorrect answers
=35+15
=50
Percentage of correct answers = number of correct answers×100/Total i number of question
=35×100/50
= 3500/50
=70
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A person is watching a boat from the top of a lighthouse. The angle of depression from the person to the boat is 28°. The lighthouse is 200 feet tall. How far away is the boat? Round to the nearest foot
The boat is approximately 515 feet away from the lighthouse.
To find the distance from the boat to the lighthouse, we can use trigonometry. The angle of depression from the person to the boat is 28°, and the height of the lighthouse is 200 feet. Let's call the distance from the boat to the lighthouse x. Using the tangent function, we have
tan 28° = 200 / x.Solving for x, we have x = 200 / tan 28°. Approximating this value using a calculator, we have x ≈ 514.7 feet. Rounding to the nearest foot, the boat is approximately 515 feet away from the lighthouse.
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Find the value of x
x + x + (2x + 5) + (2x + 7)