Answer:
1st term(a)=0.25
2nd term(t2)=0.5
common difference (d)=0.25
nth term(tn)=a+(n-1)d
=0.25+(n-1)0.25
=0.25+0.25n-0.25
=0.25-0.25+0.25n
=0.25n
Answer: nth term of the geometric sequence = (n^-1)/2
Step-by-step explanation: The nth term of a GP is Tn = arn^-1
where a is the first term 0.25
r is the common ratio 0.5/0.25 or 1/0.5 or 2/1, which is 2
Therefore the nth term = 0.25 x 2 x n^-1
= 0.5n^-1
=(n^-1)/2
kenia wants to buy a $75.00 skateboard. She has 25.00 saved so far. she mows lawns to make extra money and earns 20.00 for each lawn she mows. Which inequality can be used to determine the number of lawns, x, she needs to mow to have enough money to buy the skateboard
Step-by-step explanation:
75.00 - 25.00 = 50.00
50.00 / 20.00 = 2.50
So, she needs to mow 2.5 lawns or more to have enough money to buy the skateboard.
The inequality can be expressed as:
20.00 * x >= 50.00
x >= 2.50
So, the inequality "x >= 2.50" can be used to determine the number of lawns she needs to mow to have enough money to buy the skateboard.
I NEED HELP ASAP MATH O
Jacob just bought a new pair of basketball shoes. He expects the shoes to last for two hundred twenty-five games. He plays two games a week. Define a unit for the time Jacob has been using his new pair of basketball shoes. Enter a variable for the time Jacob has been using his new pair of basketball shoes and use this variable to write an expression for the number of games remaining for the shoes.
The expression for the time of the number of games remaining for shoes will be T = 225 - 2W.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Jacob just bought a new pair of basketball shoes. He expects the shoes to last for two hundred twenty-five games. He plays two games a week.
The expression for the life of the shoes will be written as:-
T = 225 - 2W
Here, T is the time and W is the number of weeks.
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What is the weighted average length of the nails in the drawer?
A. 350 cm
B. 333 cm
C. 5.00 cm
D. 3.50 cm
(the answer is D)
^this is a reminder for me)
The weighted average length of the nails in the drawer is given as follows:
D. 3.50 cm.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.
For the weighted mean, each observation is multiplied by it's weight.
Considering the percentages as the weights, the weighted average length of the nails in the drawer is obtained as follows:
0.705 x 2.5 + 0.19 x 5 + 0.105 x 7.5 = 3.5.
Meaning that option D is the correct option for this problem.
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How would one calculate this? would appreciate more of an explanation rather than just an answer.
The man should pull rope A to lift the load more easily
How to determine the ropeFrom the question, we have the following parameters that can be used in our computation:
The diagram
To determine the rope to pull, we calculate the moment at the point
This is calculated as
Moment = Force * Perpendiculat Distance
Using the above as a guide, we have the following:
Point A = F * (6 + 2)
Point B = F * (3 + 1)
Evaluate
A = 8F
B = 4F
8F is greater than 4F
Hence, the man should pull from point A
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Margaret made 15 pullovers during the year.her teacher said 9 of them were very good. What percentage was this
Answer:
60%
Step-by-step explanation:
9/15 converted = 0.6 = 60%
The quotient of a number d and 5 is 14
Write the word sentence as an equation.
Answer:
D=5=14 I hope this helps
Step-by-step explanation:
Step by step please, need help. Good luck and thank you for your help
Answer:
B) Linear Pair
D) Adjacent
E) Supplementary
Step-by-step explanation:
Because the sum of the two angles is 180°, we conclude that the correct options are:
B, D, and E.
Which is the relationship between the two angles?We want to find the relationship between angles a and b.
Notice that if we would add these two angles, we would get a plane angle, then we could write:
∠a + ∠b = 180°.
That means 3 things:
The angles are adjacent because share a vertex and a common side, and the angles are supplementary because their sum is equal to 180°, and also are a linear pair, because their sum is equal to 180°.
Then the correct options are:
B, D, and E.
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Let AA be the event that a randomly selected IRSC student is an Associate of Arts student and
P(AA) = 0.41. Let the event PM be the event that a randomly selected IRSC student is on the pre-med
degree track and P(PM) = 0.38. Finally, the probability that a randomly selected IRSC student is an AA degree seeker and on the pre-med degree track is 0.05. Use this information to calculate the following
probability.
Answer:
P(AA) = 0.41
P(PM) = 0.38
P(AA and PM) = 0.05
As you are finding P(AA or PM), you can apply the formula:
P(A U B) = P(A) + P(B) - P( A ∩ B)
U = Union P( A U B) = P (A or B)
∩ = And
From the formula, you can find out the answer:
P(AA or PM) = P(AA) + P(PM) - P(AA and PM)
= 0.41+0.38-0.05
= 0.74
hope this helps!!!!
what is the equation of a line when a y-intercept of -3 and a slope of -4/5
Answer:
y= -4/5x -3
Step-by-step explanation:
Darrin is hanging 200 feet of Christmas garland on the three sides of fencing that enclose his front yard. The length is five feet less than three times the width. Find the length and width of the fencing.
The length and the width of the fencing are 85 feet and 30 feet respectively.
What is a rectangular perimeter?The whole distance that a rectangle's borders, or its sides, the cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.
Given:
Darrin is hanging 200 feet of Christmas garland on the three sides of fencing that encloses his rectangular front yard.
The length is five feet less than three times the width.
Let w be the width.
Then, 3w - 5 is the length.
So, the perimeter of the rectangular fence = 200 + w.
Now, 2(3w - 5 + w) = 200 + w
6w - 10 + 2w = 200 + w
7w = 210
w = 30
Then length = 85
Therefore, length = 85 feet and width = 30 feet.
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What is the measure of the angle formed by Main Street and Park Street?
Answer:
90°
Step-by-step explanation:
they are forming a right angle (90°).
if f(x) is discontinuous, determine the reason. f of x equals the quantity x squared plus 4 for x less than 1 and equals x plus 4 for x greater than 1
The two equations for f(x) are not equal at x = 1 and f(x) is therefore discontinuous at this point
f(x) is discontinuous at x = 1 because when x = 1, the two separate equations for f(x) do not have the same output. For x < 1, [tex]f(x) = x^2 + 4[/tex], so when x = 1, [tex]f(1) = 1^2 + 4 = 5. For x > 1, f(x) = x + 4[/tex] , so when x = 1, f(1) = 1 + 4 = 5. The output of f(1) is different on each side of the discontinuity. This can be seen in the following calculation:
For x < 1,
[tex]f(x) = x^2 + 4f(1) = 1^2 + 4 = 5For x > 1,f(x) = x + 4f(1) = 1 + 4 = 5[/tex]
Since f(1) is 5 for x < 1 and f(1) is also 5 for x > 1, the two equations for f(x) are not equal at x = 1 and f(x) is therefore discontinuous at this point.
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Given the table find f(1)
The table of linear function shows that f(1) is equal to -3
What is a linear functionA linear function is a mathematical function of the form f(x) = mx + b, where m and b are constants and x is the input variable. This function produces a straight line on a graph, with a constant slope (m) and a y-intercept (b) where the line intersects the y-axis.
The slope (m) of a linear function represents the rate of change of the function, or the steepness of the line, while the y-intercept (b) represents the value of the function when x=0.
In the function table given, we can find f(1) when we look at the table.
This shows that f(1) is equal to -3
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In this polygon, all angles are right angles.
What is the area of this polygon?
Enter your answer in the box.
ft²
Polygon in the shape of a letter L, which could be formed by a horizontal rectangle attached along the bottom part of a vertical rectangle. The left side of the figure is 18 ft, the bottom side of the figure is 21 ft, the right side of the figure is 8 ft, and the top part of the horizontal rectangle to the right of the vertical rectangle is 12 ft.
On solving the provided question, we can say that the area of the rectangle polygon is 474 ft².
What is rectangle?A rectangle in Euclidean geometry is a parallelogram with four slight angle. It may alternatively be described as a hexagon that is basic rule, or one in which all of the angles are equal. A straight angle is another another option for the parallelogram. In a square, four of the vertices are the same length. A quadrilateral with a rectangle-shaped cross section has four 90 ° angle vertices + equal parallel sides. As a result, it is sometimes referred to as a "equirectangular rectangle". Due to such equal and parallel dimensions of its two sides, a rectangle is occasionally referred to as parallelogram.
The left rectangle has a height of 18 ft and a width of 21 ft, so its area is:
[tex]18 ft x 21 ft = 378[/tex] ft²
The right rectangle has a height of 12 ft and a width of 8 ft, so its area is:
[tex]12 ft x 8 ft = 96[/tex] ft²
Therefore, the total area of the polygon is:
378 ft² + 96 ft² = 474 ft²
So the area of the polygon is 474 ft².
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Trey bought five times the number of cookies as Gerald. Gerald has 8 less than the number of cookies as Trey. How many cookies do they each have?
Answer: Let's call the number of cookies Trey has "x".
Gerald has 8 less cookies than Trey, so he has x - 8 cookies.
Trey bought five times the number of cookies as Gerald, so he has 5 * (x - 8) = 5x - 40 cookies.
Combining these two equations, we have:
x + (x - 8) = 5x - 40
Simplifying, we get:
2x - 8 = 5x - 40
Solving for x, we find:
3x = 32
And finally, x = 10.
So Trey has 10 cookies and Gerald has 2 cookies.
Step-by-step explanation:
Rationalize the numerator
[tex]\frac{\sqrt{3} -5}{\sqrt{2} +5 }[/tex]
(Simplify your answer. Type an exact answer, using radicals as needed.)
The surd is rationalized to give √6 - 5√3 + 5√2 - 25/2 + 25
How to rationalize the fractionIt is important to note that fractions are a part of whole number or element.
The different types of fraction includes;
Simple fractionsComplex fractionsProper fractionsImproper fractions, etcGiven the expression;
√3 - 5/√2 + 5
√3 - 5/ √2 + 5 ×√2 - 5/√2 - 5
Multiply the values
√6 - 5√3 + 5√2 - 25/√4 - 5√2 + 5√2 + 25
Add the like surds and find the square roots, we get
√6 - 5√3 + 5√2 - 25/2 + 25
Hence, the expression is √6 - 5√3 + 5√2 - 25/2 + 25
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2. A student receives test scores of 62, 83, and 91. The student's term project score is 88 and her homework score
is 76. Each test is worth 20% of the final grade, the term project is 25% of the final grade, and the homework
grade is 15% of the final grade. What is the student's mean score in the class?
3. The median for the given set of six ordered data values is 27.5. What is the missing value? ______
5 12 23 ______ 41 51
4. For the following data, approximate the mean number of emails received per day
Answer:
Step-by-step explanation:
75
use newton's method to find all real roots of the equation correct to six decimal places. (enter your answers as a comma-separated list.) 4 x = 1 + x3
Using newton's method to find all real roots of the equation, 4x = 1+ x³ is
x1 = -2.11491, x2 = 0.2541, x3 = 1.86081.
We have the equation,
4x = 1+ x³
To find the real roots of equation we have,
x1 = -2.11491, x2 = 0.2541, x3 = 1.86081.
The cubic equation formula in mathematics is how the cubic equation is represented. An equation with degree three is said to be cubic. In nature, the roots of all cubic equations are either one real root and two real roots or three real roots. Cubic polynomials are the name given to three-degree polynomials.
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There will be 1,825 campers at a state summer camp this year. If each cabin has 2 counselors for every 25 campers, what prediction can you make about the number of counselors who will be at the state camp?
A There will be about 23 counselors there.
B There will be about 146 counselors there.
C There will be about 900 counselors there.
D There will be about 913 counselors there.
Answer: B
Step-by-step explanation:
1825/25=73
73*2=146
146
Determine for each of the following which of the figures
labeled (1) through (10) can be classified under the given term:
As per the given triangles given in the question, the corresponding names are mentioned accordingly in the answer.
How do triangles work?A triangle is a basic polygonal geometry with three sides and three interior angles. This is a fundamental geometric shape that is particularly related. Its three vertices are joined together. Depending on their sides and angles, triangles can be classified into a wide range of groups.
In geometry, there are six different kinds of triangles. There are two categories into which they can be divided. The three triangles are categorized as equilateral triangles, isosceles triangles, and scalene triangles based on their sides. Triangles can be classified as acute, obtuse, or right-angled depending on the angle at which they are formed. There are so six different kinds of triangles in geometry.
As per the given information in the question,
a. 1, 2
b. 1
c. 2
d. 6
e. 5, 6, 7
f. 7
g. 6
h. 6
i. 4, 6
j. 4, 6
k. 4, 8
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Complete question -
-6xy if x=-2 y=3
Help
Answer: 8
Step-by-step explanation:
Pls help with this it’s due soon i need answers pls and thank you
Based on the given triangle, we can find that:
The length of PN is 11The length of GN 37The size of angle ∠GLN is 32First, we will focus on the triangle NLP. NLP is a right triangle, then we can use the formula of sinus to find the length of NP, where:
Sin ∠NLP = NP / LP
Sin 35° = NP / 20
0.57 = NP / 20
NP = 11.47
NP ≈ 11
Next, we will focus on triangle GLP. GLP is a right triangle with hypotenuse of 52 and the base of 20. Using the Phytagoras theorem we can try to find the triangle's height.
GL² = GP² + LP²
52² = GP² + 20²
2704 = GP² + 400
GP² = 2304
GP = 48
GP = GN + NP
48 = GN + 11
GN = 37
To find the size of angle ∠GLN, we have to find the size of angle ∠PGN first. We will use the Sines Law:
LP / sin ∠PGN = GL / sin ∠GPN
20 / sin ∠PGN = 52 / 1
sin ∠PGN = 20/52
∠PGN = 22.5°
∠PGN ≈ 23°
∠GLP + ∠GPL + ∠PGN = 180°
∠GLP + 90° + 23° = 180°
∠GLP = 67°
∠GLP = ∠GLN + ∠NLP
67° = ∠GLN + 35°
∠GLN = 32°
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paula lives 1/9/10 from school. Nate lives 1/3/4 miles from school. Cristian lives 11/8 miles from school. who lives closest to school?
The distance from the school to Cristian home is least which is 1.375 miles.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Paula lives 1 ⁹/₁₀ from school. Nate lives 1 ³/₄ miles from school. Cristian lives 11/8 miles from school.
Convert the mixed fraction and fraction number into a decimal number. Then we have
1 ⁹/₁₀ = 1.90 miles
1 ³/₄ = 1.75 miles
11/8 = 1.375 mies
The distance from the school to Cristian home is least which is 1.375 miles.
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If the size of one object is 8.5*10^-4 meters and the size of a second object is 3.7*10^6, how many times bigger is the second object compared to the first object?
The second object is approximately 4.4 * 10^9 times bigger than the first object.
Division of numbers involving Scientific Notation.The division of the value of the second scientific notation from the first scientific notation is the precise and accurate way with which we can determine many many times bigger is the second object compared to the first object.
To do so, group coefficients together and exponents together to divide numbers in scientific notation. i.e.
= (3.7/8.5) * ((10^6)/(10^−4))
= 0.43529411 × ((10^6)/(10^−4))
Subtract the exponent from the denominator from the exponent of the numerator for the same base 0.43529411 ⋅ 10^(6 −4*−1)
= 0.43529411 × ((10^6+4)
= 0.43529411 × 10^10
= 4.3529411 × 10^9
≅ 4.4 × 10^9
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who knows how to solve this?
The profit was maximum when the current price raised by $2 then the profit falls in further increase of price.
What Does the axis of graph tells?The axis graph displays the point where two real number lines—one vertical and one horizontal (X axis)—intersect (Y axis). The X axis is referred to as the data set's independent variable, while the Y axis is referred to as the data set's dependent variable.
Given:
We have the Graph in which X- axis shows increase in price over the current value of Milkshake and, Y- axis shows Weekly profit Earned.
From the graph we can see that when the amount increased by $2 that gave the maximum profit.
After that it rising the money in prices leads to falls in profit.
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You are going to a restaurant, and the subtotal
is $80.00, there is a 6.5% sales tax.
What will the total bill come to?
How much are you paying in sales tax? If you tip a 15% before tax, how much will be
the tip?
How much are you paying in total?
Answer:587
Step-by-step explanation:
Ok so it’s 587 I’m jp
please help, urgent!!!!!
Answer:
[tex]\frac{6}{15} - \frac{5}{15} = \frac{1}{15}[/tex]
Step-by-step explanation:
solve the equation -2²-2x²+2x+1=0
Answer:
Step-by-step explanation:
Quadratic X €
Evaluate -20
Answer:
[tex]x=\frac{1}{2} \pm \frac{i\sqrt{5}}{2}[/tex]
Step-by-step explanation:
Lets solve for [tex]x[/tex] in
[tex]-2^2-2x^2+2x+1=0[/tex]
Evaluate [tex]2^2[/tex]
[tex]-4-2x^2+2x+1=0[/tex]
Add [tex]-4[/tex] and [tex]1[/tex].
[tex]-2x^2+2x-3=0[/tex]
Divide both sides of the equation by [tex]-2[/tex].
[tex]x^2-x+\frac{3}{2}=0[/tex]
Now the equation is in standard form.
[tex]ax^2+bx+c=0[/tex]
We can solve this quadratic by completing the square.
Subtract [tex]\frac{3}{2}[/tex] from both sides of the equation.
[tex]x^2-x=-\frac{3}{2}[/tex]
Take one half of the coefficient of [tex]x[/tex] and square it, then add it to both sides.
Add [tex]\frac{1}{4}[/tex] to both sides.
[tex]x^2-x+\frac{1}{4} =-\frac{3}{2}+\frac{1}{4}[/tex]
[tex]x^2-x+\frac{1}{4} =-\frac{5}{4}[/tex]
The left hand side is a perfect trinomial square.
Factor the left hand side by writing it as a square.
[tex]\left(x-\frac{1}{2}\right)^2 =-\frac{5}{4}[/tex]
Take the square root of both sides to eliminate the exponent.
[tex]x-\frac{1}{2} =\pm\sqrt{-\frac{5}{4}}[/tex]
Rewrite [tex]\frac{5}{4}[/tex] as [tex]\left(\frac{i}{2} \right)^2 *5[/tex]
[tex]x-\frac{1}{2} =\pm\sqrt{\left(\frac{i}{2} \right)^2 *5}[/tex]
Pull terms out from under the radical.
[tex]x-\frac{1}{2} =\pm \frac{i}{2} \sqrt{5}[/tex]
Combine [tex]\frac{i}{2}[/tex] and [tex]\sqrt5[/tex].
[tex]x-\frac{1}{2} =\pm \frac{i\sqrt{5}}{2}[/tex]
Add [tex]\frac{1}{2}[/tex] to both sides of the equation.
[tex]x=\frac{1}{2} \pm \frac{i\sqrt{5}}{2}[/tex]
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1. There are 40 students in Mr. Jackson's math club. All the students are between the ages of 15 and 18, inclusive. The table shows how many students in the club are each age.
Part A:
Complete table becomes:
Age (x) Probability (p) (x × p)
15 9/40 = 0.225 3.375
16 12/40=0.30 4.8
17 8/40=0.20 3.4
18 11/40=0.275 4.95
....................................................................................................
Total 1.00 16.525
Part B:
Mean becomes: 16.525
What is probability?The area of mathematics known as probability deals with numerical representations of how likely it is for an event to happen or for a claim to be true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Fundamentally, probability is a discipline of mathematics that uses computations to foretell the potential outcomes of a certain occurrence. It provides you the power to forecast the outcomes of future occurrences, which makes it seem cool.
Part A:
Age (x) Probability (p) (x × p)
15 9/40 = 0.225 3.375
16 12/40=0.30 4.8
17 8/40=0.20 3.4
18 11/40=0.275 4.95
....................................................................................................
Total 1.00 16.525
Part B:
mean (μ) = ∑⁴(i = 1) xi pi
mean (μ) = 16.525
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