Answer:
68 cm^2
Step-by-step explanation:
A = ((a+b)/2) x h
A = ((6+11)/2) x 8
A = 68 cm^2
I hope my answer helps you.
Answer:
Area of the trapezium is 68\(cm^{2}\)
Step-by-step explanation:
\(Given\),
\(Parallel side\\\) \(A\)= 6cm
\(Parallel\)\(sideB=11cm\)
\(Height = 8\)
Formula to find the area of the trapezium
\(Area\) \(of\)\(Trapezium\)=\(\frac{1}{2}(a+b)h\)
\(\frac{1}{2}\)\((6+11)8\)
\(\frac{1}{2}\) X\(136\\\)
\(68\)
Hence the area of the trapezium is 68
what do you do find the last time
Answer:
could you be more specific?
Step-by-step explanation:
The 8th grade students at Pontiac Middle School are going on a field trip to the Henry Ford Museum. The cost of the bus is $400 and the cost for each entry ticket is $12.50.
What would be the total cost of the field trip if 25 students went on the field trip?
CAN YOU HELP ME PLEASE??? OOPP CAPSSSSSSS
Answer:
$712.50
Step-by-step explanation:
400 + 12.50(25)
400 + 312.50
712.50
The graph of f(x) and table for g(x) = f(kx) are given.
The graph shows an upward opening parabola labeled f of x that passes through a point negative 2 comma 8, a point negative 1 comma 2, a vertex 0 comma 0, a point 1 comma 2, and a point 2 comma 8.
x g(x)
−16 8
−8 2
0 0
8 2
16 8
What is the value of k?
c) Uranus has three moons less than Saturn. Together, they have thirty-three moons. How many
moons does each planet have?
Answer:
Uranus : 15
Saturn : 18
Step-by-step explanation:
Uranus = U
Saturn = S
1) U= S - 3
2) U+ S = 33
1)* U - S = -3
2)* U + S = 33
1)* + 2)* 2U = 30, so U = 15
Then Saturn will have 18 (because they add up to 33)
what restrictions must be made on , and so that the triple will represent a point on the axis? on the axis? in the plane? in the plane?
If we fix x = 0 and z = 0 only y coordinate can change. So triple (0, y, 0) can only represent a point in y axis.
What do you mean by a plane?
In geometry, a plane is a surface made up of all the lines that are parallel to one another and connect any two locations on it. It is, in other words, a level or flat surface.
A plane is defined uniquely through any of the following in a Euclidean space of any number of dimensions: with the aid of three non-collinear points.
For the triple (x,y,z ) to represent the point on the y - axis .
x must be 0 y must be a real number
and z must b 0
For the triple (x,y,z ) to represent the point on the y - axis .
x must be 0 y must be 0
and z must be a real number
For the triple (x,y,z ) to represent the point on the y - axis .
x must be real number y must be 0
and z must be a real number
For the triple (x,y,z ) to represent the point on the y - axis .
x must be 0 y must be real number
and z must be a real number
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A summer pool membership costs $275 for 3 months. You can also buy an individual pass for $12.50. If you plan to go to the pool 8 times each month, which would be a better deal?
7,2,-3,-8,-13,-18
find the 97 term
Answer:
- 473
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 2 - 7 = - 3 - 2 = - 8 - (- 3) = - 13 - (- 8) = - 18 - (- 13) = - 5
This indicates the sequence is arithmetic with n th term
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = - 5, thus
\(a_{97}\) = 7 + (96 × - 5) = 7 - 480 = - 473
what are quadrants in the coordinate grid
the cuadrand are the names that are given to each area of the coordinate grid and are name like this:
if using the method of completing the square to solve the quadratic equation x^2-1+x-38=0, which number would have to be added to "complete the square"?
Step 1
Let the number to be added be = n
To make the equation a perfect square
\(b^2\text{ = 4ac}\)\(\begin{gathered} x^2\text{ - 11x - (38 + n) = 0} \\ a\text{ = 1, b = -11 , c = -(38 + n) = -38 - n} \end{gathered}\)\(\begin{gathered} b^2\text{ = 4ac} \\ (-11)^2\text{ = 4 x 1 x (-38 - n)} \\ 121\text{ = 4(-38-n)} \\ 121\text{ = -152 - 4n} \\ 4n\text{ = -152 - 121} \\ 4n\text{ = -273} \\ n\text{ = }\frac{-273}{4} \end{gathered}\)The number is -273/4
\(\text{.}\) I NEED HELP ASAP.
A factory manufactures 7.1x10⁵ bottles of ketchup per month. How many bottles are manufactured in a year?
Answer:
8,520,000
Step-by-step explanation:
hope it help
Step-by-step explanation:
factory manufactures 71*10^5 bottles of ketchup per month.
In a year:
71*10^5*12=71*12*10^5=852*10^5=852*100000=
85200000 bottles of ketchup in a year.
Which equation is a linear function?
A) y=-3x2 - 5x+3
B) y=5.2x-3
C) -5y+ 3x = 7
D) y = -5√x + 11
Answer:
A.
Step-by-step explanation:
D: there is no square root
for both C and B there is no decimal.
A should end up being y=-8x+5 which is in y=mx+b form
Angel asked some of her friends to write down the types and number of pets they own the bar graph shown here displays the information she received angel predicts that the next friends she asks will not own a rabbit which statement justifies angels prediction ?
Angel's prediction that the next friend she asks will not own a rabbit is justified by the fact that the bar graph shows that no one among the friends she has already asked owns more than one rabbit.
What does it entail?Therefore, it is likely that none of the remaining friends she asks will own a rabbit either.
Additionally, the bar graph displays a relatively small number of rabbits compared to the other types of pets, indicating that rabbits may not be a popular choice among Angel's friends.
Furthermore, if Angel's friends had a preference for rabbits as pets, it would be more likely to see a higher number of rabbits owned by them.
Therefore, based on the information displayed in the graph, Angel's prediction is reasonable.
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Directions: writing is important in all subject areas as it helps develop general writing skills, but writing activities also give students an opportunity to think about and reflect upon what they have learned. this unit focused on perimeter and area. choose one concept addressed in this unit and follow the steps of the writing process to write a brief essay on the lines provided in which you answer the following questions:
The first step of the writing process is to brainstorm ideas. One concept addressed in this unit is perimeter, which is the circumference of a shape's outside.
Some ideas for a brief essay on perimeter might include:
How to calculate the perimeter of different shapes, such as squares, rectangles, and trianglesThe importance of understanding perimeter in everyday life, such as in construction or landscapingReal-world applications of perimeter, such as calculating the length of fencing needed to enclose a gardenThe next step is to organize the ideas into an outline. For this essay, a possible outline might be:
I. Introduction
Definition of perimeterImportance of understanding perimeterII. How to Calculate the Perimeter
Steps for calculating the perimeter of different shapesExamples of perimeter calculationsIII. Real-world applications of perimeter
Examples of using perimeter in construction and landscapingImportance of accurate perimeter calculations in these fieldsIV. Conclusion
Recap of the importance of understanding perimeterEncouragement to continue practicing and learning about perimeterWith the outline in place, the next step is to write the essay. A possible essay based on this outline might be:
The circumference of a shape's outside is known as its perimeter. It is found by adding up the lengths of all the sides of the shape. Understanding perimeter is important in many subject areas, such as construction and landscaping, as well as in everyday life.
To calculate the perimeter of a shape, you first need to measure the lengths of all the sides. For example, to find the perimeter of a square, you would measure the length of each side and then add them up. To find the perimeter of a rectangle, you would measure the lengths of the two longer sides and the two shorter sides, and then add them up. The perimeter of a triangle is found by adding the lengths of all three sides.
Perimeter has many real-world applications. In construction, perimeter is used to calculate the amount of fencing or framing needed for a building. In landscaping, the perimeter is used to calculate the amount of mulch or sod needed to cover a certain area. It is important to accurately calculate perimeter in these fields, as it can affect the cost and success of a project.
In conclusion, understanding perimeter is important in many subject areas and in everyday life. It is useful for calculating the distance around the outside of a shape, and it has many real-world applications. By practicing and learning about perimeter, we can improve our problem-solving skills and better understand the world around us.
This assignment is incomplete, and a similar one is nowhere to be found. As a result, the essay does not include the answer to the missing question. However, a step-by-step guide on how to write the relevant essay is offered.
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The list shows the heights of some stickers in inches. The data will be put in a line plot
Answer:
The data should be from 1 to 2 with tick marks every 10th
Step-by-step explanation:
you can change the contents of a stringbuilder object, but you cannot change the contents of a string object. question 2 options: True or False
The required Answer that will help in the selection of the correct option from the given statement is True.
A string builder is considered a class in JAVA API where it provides the mutual sequence of characteristics. It is used for the requirement of dynamic string manipulation. Using it to form new characters in an existing string.
In comparison with string, the following points help in differentiating the ability, function, and purpose of their creation,
The string is immutable that cannot be changed after its creation.Any modification that takes place eventually creates a new set of strings, hence leaving the original or parent string unchanged. Unlike string builder, string can't be modified after it is been created.To learn more about string builder,
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After 4 years, $20,000 deposited in a savings account with simple interest had earned $800 in interest. What was the interest rate?
The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.
We can use the formula for simple interest to solve the problem:
Simple interest = (Principal * Rate * Time) / 100
where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.
We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:
$800 = (20,000 * Rate * 4) / 100
Multiplying both sides by 100 and dividing by 20,000 * 4, we get:
Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%
Therefore, the interest rate for the savings account is 5%.
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the integral in this exercise converges. evaluate the integral without using a table. question content area bottom part 1 enter your response here dv/(1 v^2)(2 cot-1v)
The integral is equal to 1/2 [ln|1 + v| - ln|1 - v|] + C.
The integral in this exercise converges, which means that it has a finite value.
To evaluate the integral without using a table, start by breaking the fraction into partial fractions.
Use the identity 2 cot-1v = ln(v²+1) - ln(v²-1) and partial fractions to rewrite the integral as follows:
∫ dv/[(1 + v)(1 - v)]
= ∫ [1/2(1 + v) - 1/2(1 - v)] dv
= 1/2 ∫ [1/(1 + v) - 1/(1 - v)] dv
= 1/2 [ln|1 + v| - ln|1 - v|] + C, where C is the constant of integration.
Therefore, the integral is equal to 1/2 [ln|1 + v| - ln|1 - v|] + C.
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If the equation were 6x + 2 = 5x + 17, would there be one unique solution?
Which statement BEST describes the philosophy of John Locke?
A.
There is no need for government since natural law will ensure that humanity continues to progress.
B.
Governments should have separation of powers to ensure their citizens retain the greatest possible liberty.
C.
Monarchies, because of their divine blessings, ensure that civilization progresses to its maximum potential.
D.
Because they should be accountable to the people, governments must protect the natural rights of its citizens or else be overthrown.
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Step-by-step explanation:
Explain 3 areas in everyday life where you use math.
Answer:
1. Banking and Money
2. Baking
3. Art
Step-by-step explanation:
3a. Give a recursive algorithm for finding nx whenever n is a is a positive integer and x is an integer, using only addition. (So, you want to find n times x, when inputting n and x.) 3b. Prove your algorithm in #3 is correct using induction on n.
If n = 0, return 0.
If n > 0, recursively call find_nx(n-1, x) and add x to the result.
Return the final result obtained in step 2.
The recursive algorithm takes two inputs, n and x, and uses a recursive approach to find the value of nx by performing repeated additions of x.
In the base case (step 1), when n is 0, the algorithm returns 0 since any number multiplied by 0 is 0.
In the recursive case (step 2), when n is greater than 0, the algorithm recursively calls itself with the arguments (n-1, x) to find the value of (n-1)x. It then adds x to the result obtained from the recursive call, effectively performing nx = (n-1)x + x.
The algorithm continues this recursive process until the base case is reached (n = 0), at which point it returns the final result obtained from the recursive calls.
By breaking down the problem into smaller subproblems and using only addition, the algorithm calculates nx for any positive integer n and integer x.
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The difference between the park and house of a student is 1Km 575m. Every day he walks both ways between the park and his house. Find the total distance covered by him in a week's time?
The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.
To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.
Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.
In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.
Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.
Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.
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In triangle def, if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x 8)°, what is the value of x? 29 31 34 59
In triangle def, if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x + 8)°, then the value of x is 29.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Triangle is DEF
if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x 8)°
We need to find the value of x.
We know that the sum of three angles of triangle is 180 degrees
m∠d + m∠e + m∠f=180°
2x+3x-2+x+8= 180°
6x+6=180
Subtract 6 on both sides
6x=174
Divide by 6 on both sides.
x=174/6
x=29
Hence, the value of x is 29.
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For school spirit day, 11.875% of your class wears orange shirts, 5/8 of your class wears blue shirts, 0.15625 of your class wears white shirts, and the rest of your class wears gold shirts. Order the portions of shirts of each color from least to greatest.
Answer:
Gold, Orange, White, Blue
Step-by-step explanation:
Orange: 11.875%
Blue: 62.5%
White: 15.625%
Gold: 10%
Two 1-6 number cubes are rolled - one is black and one is white. The white cube shows an even number and the sum is 8.
a. Explain why the events are dependent. b, Find the probability.
a. The events are dependent because the outcome of one cube affects the outcome of the other cube.
b. The probability of rolling an even number on the white cube and a sum of 8 is 3/36, or 1/12.
a. The outcomes of one cube influence the outcomes of the other cube, hence the events are interdependent.
There are just a few conceivable results for the black cube if the white cube displays an even number: 2 and 6, 3 and 5, or 4 and 4.
As a result, there are fewer outcomes that could happen, making the events dependent.
b. A sum of 8 and an even number on the white cube have a probability of 1/12, or 3/36.
This is due to the fact that there are three possible outcomes when rolling an 8 with an even and an odd number (2-6, 3-5, or 4-4).
Three of the 36 potential outcomes meet the requirements. The likelihood is therefore 3/36.
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Q=1/6p^2
p= 13. 6 correct to 3 significant figures.
By considering bounds, work out the value of q to a suitable degree of accuracy.
Give a reason for your answer.
+
The value of Q, taking into account the significant figures is 30.8.
To work out the value of Q given the value of p, we can substitute the value of p into the equation Q = (1/6) × p².
Given p = 13.6, we can calculate Q as follows:
Q = (1/6) × (13.6)²
Q = (1/6) × 184.96
Q = 30.826666...
Now, let's consider the significant figures of the given value of p, which is 13.6 (3 significant figures).
Since the value of p has 3 significant figures, we should round our final answer for Q to 3 significant figures as well.
Considering the value of Q to a suitable degree of accuracy, we can round our answer to three significant figures, which gives us:
Q = 30.8
Therefore, the value of Q, taking into account the significant figures, is 30.8.
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Will give brainliest if correct.
Answer:
y=(-9-2x)/3
Step-by-step explanation:
try to find two values that sum to 44 if one value is 13 what is the other number?
Let x and y be the first and second number.
The sum is 44
x + y = 44
if one of the number, say x , us 13, the other number , y is:
13 + y = 44
y = 44- 13
y = 31
The two numbers are 13 and 31
th
what is represented by the distance between two vertical white gridlines on this graph? what is represented by the distance between two vertical white gridlines on this graph? a population increase of 20 million a population increase of 2 billion a time span of 20 years a time span of 50 years
The distance between two vertical white gridlines on a graph typically represents a specific interval or scale.
Based on the options you provided, the correct answer would depend on the context of the graph.
If the graph is displaying population data over time, the distance between two vertical white gridlines could either represent:
- A time span of 20 years
- A time span of 50 years
If the graph is displaying population increase directly, the distance could represent:
- A population increase of 20 million
- A population increase of 2 billion
To determine the correct answer, please examine the labels and context of the graph you are analyzing.
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A triangle is drawn on a coordinate plane. Point A is at (2,6), Point B is at (4,10), and Point C is at (8,5). What is the midpoint of side AB