Answer: 2 x 4
Reason:
There are 2 rows and 4 columns. The number of rows is listed first, followed by an "x", then the number of columns is listed.
Consider the following two circles.
Segment d1 is a diameter of ⨀A, and segment d2 is a diameter of ⨀B.
If d1=1 and d2=2r, and if CB denotes the circumference of ⨀B, which equation is true?
1/2r = CB/2π
1/2r = π/CB
1/2r = CB/π
The equation 1/2r = π/CB is true. Choose the second option
How to determine which equation is true?The circumference of a circle is the distance around the circle, or the length of the perimeter of the circle. It is given by the formula:
circumference = 2πr = πd
where r is the radius and d is the diameter
Note: d = 2r
Given: d2 = 2r and CB denotes the circumference of ⨀B
CB = πd2
CB = 2πr (d2 = 2r)
Divide both sides by CB:
CB/CB = 2πr/CB
1 = 2πr/CB
Divide both sides by 2r:
1/2r = 2πr/2rCB
1/2r = π/CB
Thus, the second equation is true
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A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $79. A season ski pass costs $350. The skier would have to rent skis with either pass for $20 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
The number of days that the skier would have to go skiing for the season pass to be less expensive than the daily passes would be 5 days.
How to find the number of days ?The season ski pass would cost $ 350 while a pass a day would cost $ 79. The skier would then rent skis with either of the passes for the same price of $ 20 per day, which means that this factor is irrelevant in calculating the number of days till the season pass is less expensive.
The number of days till the season pass is less expensive is therefore:
= Cost of season pass / Cost of daily ski pass
= 350 / 79
= 4. 43
= 5 days
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Help
pls due to night graph problem
The coordinates for graph are (4, -3)(-8, 6)(8, -6)(-4, 3)(0, 0).
What are coordinates?Cartesian coordinates, also known as the coordinates of a point in a 2D plane, are two integers, or occasionally a letter and a number, that identify a specific point's precise location on a grid. This grid is referred to as a coordinate plane.
Given, equation
2/3y = -1/2x
according to option
when x = 0
y = 0
(0, 0)
when x = 4
2/3y = -1/2(4)
y = -3
(4, -3) and similarly (-4, 3)
when x = 8
2/3y = -1/2(8)
2/3y = -4
y = -6
(8, -6) similarly (-8, 6)
Hence the coordinates for equation are (4, -3)(-8, 6)(8, -6)(-4, 3)(0, 0).
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I will give BRAINLIEST if correct need asap
(A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).
What is the explicit formula?
The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence. In general, the explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.
A. The data provided is modeling a geometric sequence.
This is because the common ratio between consecutive terms is a constant value, specifically in this case is the ratio between consecutive terms is multiplied by 2.
B. To find the time Aurora will complete station 5 using a recursive formula,
we can use the formula T(n) = T(n-1) * r,
where T(n) is the time at the nth station, T(n-1) is the time at the (n-1)th station, and r is the common ratio.
In this case T(5) = T(4) * 2
and T(4) = 24 (from the data provided)
Therefore, T(5) = 24 * 2 = 48 minutes
C. To find the time Aurora will complete the 9th station using an explicit formula,
we can use the formula T(n) = T(1) * r^(n-1)
In this case, T(9) = T(1) * 2^(9-1)
and T(1) = 3 (from the data provided)
Therefore, T(9) = 3 * 2^8 = 3 * 256 = 768 minutes
The explicit formula assumes that the first term of the sequence is T(1) and the common ratio of the consecutive term is r.
Hence, (A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).
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What is the slope of the line that contains the points (2, −8) and (−4, 4)? 2 one half negative one half −2
Answer;
-2
Step-by-step explanation;
Well take the last numbers in these points and subtract them
4 - (-8)
4+8
12
You've got the upper part of the slope fraction now subtract the first two numbers.
-4-2
-6
Put this fun together, 12/-6 = -2
hence, slope=-2 .
Answer:
Step-by-step explanation:
-2
What expression is a prime polynomial?
On solving the provided question, we can say that - the value of the quadratic equation will is 3X1 + 18 X 2 = 39.
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
here,
the quadratic equation we have is -
[tex]3x^2 + 16y[/tex]
and x= 1
and y = 2
so, 3X1 + 18 X 2 = 39
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factorise 6x²+11x+4 please
6x²+11x+4
6x² + 8x + 3x + 4
2x(3x+4) + 1( 3x + 4 )
(2x+1)(3x+4)Answer:
[tex](3x + 4)(2x + 1)[/tex]
Step-by-step explanation:
We can factor the expression
[tex]6x^2+11x+4[/tex]
using the grouping method.
First, multiply the coefficient on the x² term by the constant term.
6 × 4 = 24
Then, list out the factor pairs of the product.
24
1, 24
2, 12
3, 8
4, 6
If one of the pair's numbers add to the coefficient of the x term in the polynomial, then we can substitute in that pair of numbers for the x's in the expression.
In this case, the 3 and 8 pair add to 11, the x term's coefficient.
[tex]6x^2+11x+4[/tex]
[tex]6x^2 + 3x + 8x + 4[/tex]
Next, we can factor a term out of the first and last two terms of the polynomial.
[tex](6x^2 + 3x) + (8x + 4)[/tex]
[tex]3x(2x + 1) + 4(2x + 1)[/tex]
Finally, we can apply the distributive property to the expression to rewrite it in factored form.
[tex](3x + 4)(2x + 1)[/tex]
Assignmen
Practice identifying three-dimensional solids and the two-
dimensional figures that created them.
Which statements are true regarding the prism? Check
all that apply.
The prism has no vertices.
The prism has 9 edges.
The bases of the prism are triangles.
The bases of the prism are rectangles.
The prism has 5 faces
Answer:
1 - False
2 - False
3 - True [for prism which can separate white light into 7, i.e, ordinary prism]
4 - False [for the type of prism stated above]
5 - True
Step-by-step explanation:
If you can, get a picture of a normal prism and look at it. There are MANY different types of prisms. The answers I have given above are only applicable to the prism we refer to normally, i.e., the pyramid-like shaped one.
Find the average rate of change of the function
f
(
x
)
=
−
1
x
2
−
2
x
+
2
, on the interval
x
∈
[3,5].
Answer:
The average rate of change is −10.
Step-by-step explanation:
The average rate of change of f(x) on the interval [a,b] is f(b) − f(a) / b−a.
We have, a=3, b=5, f(x) = -1x^2 − 2x + 2.
Thus, f(b) − f(a) = −(5)^2 −2(5) + 2 − [−(3)^2 −2(3) + 2]
= -25 - 10 + 2 - ( -9 - 6 + 2 )
= -33 - 13
= - 20
Then, b−a = 5 - 3 = 2
f(b) − f(a) / b−a = - 20 / 2 = −10
Answer: the average rate of change is −10.
1. Peter and John went shopping and spent money in the ratio 2 : 3 .
(a) If Peter spent 500 dollars, how much did John spend?
(b) If John spent 600 dollars, how much did they spend altogether?
(c) If both boys spent 2000 dollars altogether, how much did they spend?
(d) If John spent 100 dollars more than Peter, how much did both boys spend?
The ratio of the amount Peter spent to that of John is 2:3, so:
(a) If Peter spent 500 dollars, then John spent 75p dollars
(b) If John spent 600 dollars, then they spend altogether 1000 dollars.
(c) If both boys spent 2000 dollars altogether, then John spent 1200 dollars and Peter spent 800 dollars.
(d) If John spent 100 dollars more than Peter, then they both spent 500 dollars as Peter will spend 200 dollars while John spends 300 dollars.
How to evaluate for the amount spent using their ratio.Let us represent the amount of money spent for Peter and John with P and J respectively.
Using the ratio 2:3 for the amount Peter spent to that of John;
If Peter spent 500 dollars, then;
2/3 = $500/J {cross multiply}
J = (3 × $500)/2
J = $1500/2
J = $750
If John spent 600 dollars, then;
2/3 = P/$600 {cross multiply}
P = (2 × $600)/3
P = $1200/3
P = $ 400
Peter and John spent altogether = $1000
If both boys spent 2000 dollars altogether, then;
their total ratio = 5
unit amount = $2000/5
unit amount = $400
Peter spent = 2 × $400 = $800
John spent = 3 × $400 = $1200
If John spent 100 dollars more than Peter, then;
2/3 = P/(P + $100) {cross multiply}
3P = 2(P + $100)
3P = 2P + $200 {collect like terms}
3P - 2P = $200
P = $200.
Peter spent = $200
John spent = $300.
In conclusion, using the ratio 2:3 for the amount of money spent by Peter and John respectively, we have the answers: $750, $1000, $800 for Peter and $1200 for John, and $200 for Peter and $300 for John for the questions lettered (a), (b), (c), and (d) respectively.
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Find the area of a circle that has a radius of 12
Answer:
Step-by-step explanation:
452.39 is the area
the sum of 65 and 25 is divided by 10 and the quotient obtained is multiplied by the difference of 12 and 17. make mathematical expression and simlpify
Answer:
Expression: (65+25)÷10(12-17)
simplification:
45
In the figure below, A ABC has an area of
20 square units. What is the height, h,
of the triangle?
A
A
h
2½ units
B 4 units
C
C 4 units
D 5 units
E 10 units
8
B
The height of triangle A ABC is 4 units.
What is the triangle's height, h?
This can be determined by using the formula for the area of a triangle, which is A = ½bh, where b is the base and h is the height.Since the area of the triangle is given as 20 square units, we can solve for h.By substituting A = 20 and b = 8 into the formula for the area of a triangle, we get 20 = ½(8)h, which simplifies to h = 4.Therefore, the height of the triangle is 4 units.The figure in the question is a right triangle, meaning it has one angle that is 90 degrees. The area of the triangle can be found using the formula A = 1/2bh, where b is the base and h is the height of the triangle.In this case, the area is 20 square units, and the base is 4 units, so the height of the triangle is 2.5 units. This is the answer to the question.The height of triangle A ABC is 4 units.To learn more about the area of a triangle refer to:
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If 2 melons cost Php190.50, then 4 melons cost __.
If 1 kg of Bangus costs Php167.35, then 3.5 kgs of Bangus cost __.
Answer: If 2 melons cost Php190.50, then 4 melons cost 381 .
If 1 kg of Bangus costs Php167.35, then 3.5 kgs of Bangus cost 585.725
Step-by-step explanation:
2x2=4
190.50x2=381
1x3.5=3.5
167.35x3.5=585.725
prove that change of basis matrix is always invertible
Answer:
The only way for this to happen is if BA=In is the identity. The same argument, now interpreting ei as [wi]β2, shows that AB is also the identity. So A and B are both invertible. So every change-of-basis matrix is necessarily invertible if you think about it carefully.In the problem 7,21 = 3.605, what is the divisor?
A. 2
B. 7.21
C. the fraction bar
D. 3.605
Answer: 25.99205
Step-by-step explanation: The way I have solved it is by multiplying the answer and the only know number to be multiplied. Then I got 25.99205 and double checked it by dividing it by 7.21 and got 3.605.
Find the line that contains the error, explain the error and how you would find the correct solution. Include the correct solution in your answer.
Pls help
The final answer of the corrected expression is (-22, -26).
What is the solution to the linear equation?
The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
We have given:
y = x - 4
-2x + y = 18
---------------------
-2x + (x - 4) = 18
-x - 4 = 18
x = 22
y = 22 - 4
y = 18
Solution: (22, 18)
The error is in lines 3, 4, and 5.
It should have,
y = x - 4
-2x + y = 18
---------------------
-2x + (x - 4) = 18
-x - 4 = 18
-x = 22
x = -22
y = -22 - 4
y = -26
Solution: (-22, -26)
Hence, the final answer of the corrected expression is (-22, -26).
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I’ll give BRAINLIEST if correct
Answer:
a,b
Step-by-step explanation:
What is 32% of 40?……….
Answer: 12.8
Step-by-step explanation:
Just do 0.32 x 40.
Practice using graphs to solve systems of linear equations. Which graph represents the solution set to this system of equations? y = –1 2 x + 3 and y = 1 2 x - 1 On a coordinate plane, a line goes through (negative 4, 1) and (0, 3) and another line goes through (negative 2, negative 2) and (0, negative 1). On a coordinate plane, a line goes through (negative 2, 2) and (0, 3) and another line goes through (negative 2, 0) and (0, negative 1). On a coordinate plane, a line goes through (negative 2, 0) and (0, negative 1). On a coordinate plane, a line goes through (0, 3) and (2, 2) and another line goes through (0, negative 1) and (2, 0).
On a coordinate plane, a line goes through (0, 3) and (2, 2) and another line goes through (0, negative 1) and (2, 0).
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
given that,
y = –1 2 x + 3 and y = 1 2 x - 1, the systems of linear equations.
from the graph , we have,
the solution set to this system of equations is,
On a coordinate plane, a line goes through (0, 3) and (2, 2) and another line goes through (0, negative 1) and (2, 0).
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Answer: D
Step-by-step explanation:
how do the perimeters of the rectangles compare original 30 in 36 in scaled 6 in 5 in
Answer:
Step-by-step explanation:
ur mom
assume that ryan does save 10% for retirment. if he alloctes the remainder of his take home pay to entertainment, then what percent of his total budget wil entertainment comprise?
Which number line segment summarizes the info about the function (graph a )?
On solving the provided question we can say that - the value of the equation x = y^2 -5 from the graph will be 59.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here, the equation from the graphs is
[tex]x = y^2 -5[/tex]
and y = 8
x = 59
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Elijah's dog is 3 years younger than his cat, Write an equation that represents the relationship between the age of Elijah's dog and his cat. Let d represent his dog's age and crepresent his cat's age.
The equation for age of dog and cat is d = c - 3.
What is linear equation?A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Given Elijah's dog is 3 years younger than his cat,
and Let d represent his dog's age and c represent his cat's age,
when cat age is c,
dog age will be 3 less than c, which is c - 3
the equation is d = c - 3
Hence the equation is d = c - 3.
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26 If G(x) is an antiderivative for flx) and G(2) =-7 then G(4) =
(A) f'(4) (B) -7+f' (4) (C) ∫₂⁴ f(t)dt (D) ∫₂⁴(-7+f(t))dt (E) -7+∫₂⁴f(t)dt
The required value of the given antiderivative function is G(4) = -7+∫₂⁴f(t)dt which is the correct answer that would be an option (E).
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The antiderivative of a function is a function that when differentiated gives the original function.
Since G(x) is an antiderivative for f(x), G'(x) = f(x).
If G(2) = -7, then we know that G(4) = G(2) + ∫₂⁴ f(t)dt.
So, G(4) = -7+∫₂⁴f(t)dt
Therefore, the answer is (E) -7+∫₂⁴f(t)dt.
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The midpoint of a line is found by subtracting two coordinates and dividing the answers by two.
true or false
The statement that "the midpoint of a line is found by subtracting two coordinates and dividing the answers by two" is false
What is midpoint of a line?The midpoint of a line segment is the centroid of the segment. It is equally distant from both of the ends and hence cuts the section in half.
How to find midpoint of a line segmentThe formula to determine the center point of a straight line using the coordinates of its endpoints is known as the midpoint formula in coordinate geometry.
The formula is of the form
X= (x₂ + x₁)/2
Y = (y₂ + y₁)/2
From the formula midpoint involves addition two coordinates instead of subtraction, and dividing by two.
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Answer please thank you
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 120.5° is added to the data, how does the mean change and by how much?
The mean stays at 83.5°.
The mean increases by 3.1°.
The mean increases by 3.5°.
The means stays at 80.4°.
Question 2(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The shoe sizes of a group of middle school girls are shown.
5.5 6 7 8.5 6.5
6.5 8 7.5 8 5
If a shoe size of 6 is added to the data, how does the IQR change?
The IQR becomes a 1.5.
The IQR remains a 2.
The IQR remains a 2.5.
The IQR becomes a 3.
Question 3(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 101° is added to the data, how does the mean change?
The mean decreases by 1.6°.
The mean increases by 1.6°.
The mean decreases by 8.4°.
The mean increases by 8.4°.
Question 4(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The shoe sizes of a group of middle school girls are shown.
5.5 6 7 8.5 6.5
6.5 8 7.5 8 5
If a shoe size of 9 is added to the data, how does the median change?
The median stays 6.75.
The median increases to 6.75.
The median stays 7.
The median increases to 7.
Question 5(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 60° is added to the data, how does the median change?
The median stays at 80°.
The median stays at 79.5°.
The median decreases to 77°.
The median decreases to 82°.
Question 6(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 80.2° is added to the data, how does the range change?
The range stays 47°.
The range decreases to 47°.
The range stays 48°.
The range increases to 50°.
Question 7(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 58° is changed to 101°, which of the following measures changes the most and what is the new value?
Median 86.5°
Mean 84°
Range 48°
IQR 32°
1. If a value of 120.5° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, D. The mean increases by 3.1°.
2. If a shoe size of 6 is added to the ordered data, 5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, B. The IQR remains a 2.
3. If a value of 101° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, B. The mean increases by 1.6°.
4. If a shoe size of 9 is added to the ordered data, 5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, the median that was 6.75, now D. The median increases to 7.
5. If a value of 60° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, C. The median decreases to 77°.
6. If a value of 80.2° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, C. The range stays at 48°.
7. If a value of 58° is added to the data, (57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105), the measure that chances the most is the D. IQR with the new value as 32°.
What are some measures of central tendency?The mean refers to the average value while the median is the middle value in the dataset. The range shows the difference between the highest value in the dataset and the lowest value.
The Interquartile Range (IQR) is the median value or 50% percentile, the difference between the 75th and 25th percentiles of the data set.
To compute the interquartile range, determine the median of the data's lower and upper half and subtract quartile 1 from quartile 3.
1. Average high temperatures for a city:
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
Total = 965°
Average = 80.4° (965° ÷ 12)
New average with 120.5° added:
New total = 1,085.5° (965° + 120.5°)
Average = 83.5° (1,085.5° ÷ 13)
The difference in mean = 3.1° (83.5° - 80.4°)
2. Shoe Sizes:
5 5.5 6 6.5 6.5 7 7.5 8 8 8.5
Median = 6.75 (6.5 + 7)/2
Interquartile = 8 - 6 = 2
Add shoe size 6 to the data:
5 5.5 6 6 6.5 6.5 7 7.5 8 8 8.5
Median = 6.5
IQR = 8 - 6 = 2
3. Average Temperature:
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
Total = 965°
Mean = 80.4° (965° ÷ 12)
If a value of 101° is added to the data, the new mean becomes:
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, 101
Total = 1,066
Mean = 82° (1,066 ÷ 13)
The difference in the mean = 1.6° (82° - 80.4°)
4. Raw Data:
5.5 6 7 8.5 6.5
6.5 8 7.5 8 5
Arranged:
5 5.5 6 6.5 6.5 7 7.5 8 8 8.5
Median of data = 6.75 (6.5 + 7) ÷ 2
When 9 is added to the data:
5 5.5 6 6.5 6.5 7 7.5 8 8 8.5 9
Median = 7
5. 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
Ordered Data:
57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
Median = 79.5 (77 + 82)/2
Add 60°, the new ordered data:
57, 58, 60, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
Median = 77
6. Range:
Highest value = 105
Lowest value = 57
Difference = 48
Range = 48 (105 - 57)
Add 80.2°, the range stays at 48° (105 - 57)
7. Average high temperatures:
Raw Data:
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
Ordered Data:
57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
Total = 965
Mean = 80.4 (965 ÷ 12)
Median = 79.5 (77 + 82)/2
IQR = 39 (100 - 61)
Range = 48 (105 - 57)
A new temperature of 58° is added,
57, 58, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
Total = 1,023
Mean = 78.7 (1,023 ÷ 13)
Median = 77
IQR = 32 (93 - 61)
Range = 48 (105 - 57)
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Chang added some chlorine to the water in the pool . The chlorine evaporated at a fixed rate every week. The table below shows the amount of chlorine f(n), in ounces, that was left in the pool after n weeks
The function that best shows the relationship between n and f(n) is;
f(n) = 24(0.5)ⁿ⁻¹
How to solve function tables?The function table that shows the amount of chlorine is given as;
n 1 2 3 5
f(n) 24 12 6 3
Where;
f(n) is the amount of chlorine in ounces, that was left in the pool after n weeks:
We can see that the value of f(n) is decreasing as n increases from the table.
Due to the fact that f(n) does not have common difference. Let us attempt tp see if it has a common ratio;
12/24 = 0.5
6/12 = 0.5
3/6 = 0.5
Using the formula for the nth term of a geometric progression is;
aₙ = arⁿ⁻¹
Where;
a represents the first term = 24
r represents the common ratio = 0.5
Thus, the equation of the function is;
f(n) = 24(0.5)ⁿ⁻¹
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A 2-quart carton of yogurt costs $5.36. What is the price per cup?
need correct answer.
The price per cup when a 2-quart carton of yogurt costs $5.36 is $0.67.
How to illustrate the word problem?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real.life scenario given.
In this case, a 2-quart carton of yogurt costs $5.36. It should be noted that 1 quart = 4 cups.
Therefore, 2 quarts will be:
= 2 × 4.
= 8 cups
Therefore, the price per cup will be:
= $5.36 / 8
= $0.67
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Which of the following is a like radical to
6 3*/2x
A: 6 3*/x
B: 6 4*/2x
C:-5 3*/2x
D:6 3*/2x 2*
The third option C: -5∛2x is a like radical to the expression 6∛2x.
What are radicals?In mathematics, the symbol √ is used to represent or show that a number is a radical. Radical expression is defined as any expression containing a radical (√) symbol.
The expression 6∛2x can be expanded into two factors which bare 6 and ∛2x
Also for the third option C, the expression -5∛2x can be expanded into two factors which are -5 and ∛2x
By observation, we will notice the two expressions 6∛2x and -5∛2x have same factor ∛2x which make them like radical expressions.
In conclusion, the expression -5∛2x is a like radical expression to 6∛2x.
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