Step-by-step explanation:
Essentially, we need to know what are 800 grams in pounds-
(1 pound =453.592
x= 800)
we have to divide 800 by 453.592, and the result is 1.763699... rounding it: 1.76
now we do the same for 700 :
700 divided by 453.592 is 1.5432... so rounding it down: 1.54
please answer faster then I will mark you branliest
Answer:
4. The strength of class V is 300
5. Meenakshi bought a TV for Rc 46,000
Step-by-step explanation:
4. To round to the nearest hundred, check the number in the 'tens'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 7, so we rounded up to 300.
5. To round to the nearest thousand, check the number in the 'hundreds'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 3, so we rounded down to 46,000.
“The product of seven and two y added to 27.” What is the coefficient in this expression? 7 2 14 Help Please
Answer:
14
Step-by-step explanation:
7*2y+27
14y+27
14 is coefficient of variable y
Expand and simplify x(3x + 5)-5(2x - 1)
PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my assessment revision
The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5
How to expand and simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
x(3x + 5)-5(2x - 1)
Open the brackets
So, we have
3x² + 5x - 10x + 5
Evaluate the like terms
So, we have
3x² - 5x + 5
Hence, the simplified expression is 3x² - 5x + 5
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Assume the probability of rain on any given independent day is 0.23. What is the average number of days it rains for the first time?
The probability that this song will be played on exactly 0 days out of 7 days, if The probability that a particular song is played is 0.23 is 0.008.
We have,
A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
The probability that a particular song is played is 0.23,
As can be seen that the problem is of combination, so we have to choose 5 out of 7,
Calculate the combination as shown below,
⁷C₅ = 7! / (5! × 2!) = 7 × 6 / 2
⁷C₅ = 7 × 6 / 2
⁷C₅ = 21
Calculate the probability as shown below,
P = ⁷C₅ × (0.23)⁵ × (0.77)²
P = 0.008
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complete question;
During a single day at radio station WMZH, the probability that a particular song is played is 0.23. What is the probability that this song will be played on exactly 0 days out of 7 days? Round your answer to the nearest thousandth.
2x + 8
2 + 3
7x + 21
.
x +4
Answer:
\(60x + 86\)
Step-by-step explanation:
Sasha's bank account earns 4% simple interest. How much must she deposit in the account today if she wants it to be worth $1,000 in 5 years?
If Sasha wants her account to be worth $1,000 in 5 years, then she must deposit $833.34.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
SI = PRT
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
Sasha's bank account earns 4% simple interest. Therefore, if she wants it to be worth $1,000 in 5 years then the principal amount must be,
Account balance = PRT + P
$1,000 = P[(0.04×5)+1]
$1,000 = 1.2 P
P = $833.34
Hence, if Sasha wants her account to be worth $1,000 in 5 years, then she must deposit $833.34.
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6
Write an one-step inequality that represents the given situation,
Chris went to the pet store to buy 5 goldfish for his fish tank. He spent less than $15 in all to buy
the fish. Let frepresent the cost of each goldfish,
Write the "to prove" statement for the following theorem.
If one angle of a triangle is 90°, then the other two add to 90°.
To prove: If one angle of a triangle is 90°, then the sum of the other two angles is equal to 90°. is sum of angles on a triangle is 180 degrees
What is sum of angles on a triangle?In a triangle, the sum of the interior angles in the triangle is 180 degrees
For right triangle, that is angle that has one side as 90 degrees, the sum of the other two sides will be 90 degrees
Assuming the other angles are x and y, then a side is 90 degrees
x + y + 90 = 180 (sum of interior angles on a triangle)
x + y = 180 - 90
x + y = 90 degrees
hence the sum of the interior angles is 90 degrees
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plzzz help
find the slope
1/4(10-3+5)2 pls help
Answer:
6
Step-by-step explanation:
PLEASE HELP THANK YOU HURRY FAST
1) Polynomial of 4 terms.
2) The rational roots of the function are,
x = - 2, 1
3) The zeroes of the function are,
x = - 2, - 3, 2
4) The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) The correct function which shows the cubic equation is, option 1.
We have to given that;
1) Function is,
⇒ 3x⁵ + 5x⁴ - 7x³ + 15
Clearly, There are 4 terms in function.
Hence, Polynomial of 4 terms.
2) Function is,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
The correct rational roots are satisfy the function,
Hence, We get;
Plug x = 1,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0
⇒ 0 = 0
Plug x = - 2;
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0
⇒ 0 = 0
Thus, The zeroes of the function are,
x = - 2, 1
3) Function is,
⇒ y = (x + 3) (x + 2) (x - 2)
Hence, The zeroes of the function are,
x = - 3
x = - 2
x = 2
4) Function is,
⇒ 3x² - 4 = - x⁴
⇒ x⁴ + 3x² - 4 = 0
⇒ x⁴ + 4x² - x² - 4 = 0
⇒ x² (x² + 4) - 1 (x² + 4) = 0
⇒ (x² - 1) (x² + 4) = 0
⇒ x² - 1 = 0
⇒ x² = 1
⇒ x = ±1
⇒ x² + 4 = 0
⇒ x² = - 4
⇒ x = ±2i
Hence, The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) By given graph the correct function which shows the cubic equation is, Option 1.
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question in picture thank you
The correct equation is: 5/6 - 1/6 = 4/6
What you mean by term Number line ?A number line is a visual representation of numbers, ordered from left to right, where each point on the line corresponds to a number. The number line can be used to represent a wide range of numbers, including integers, fractions, decimals, and even negative numbers.
On a basic number line, 0 is located in the center, with positive numbers to the right and negative numbers to the left. The numbers are usually evenly spaced, with tick marks or dots indicating each value. The distance between any two points on the number line represents the difference between the corresponding numbers.
According to question Option D is correct
This is because starting at 5/6 and ending at 1/6 involves moving in the negative direction on the number line. To find the distance between these two points, we need to subtract the smaller number (1/6) from the larger number (5/6).
So, 5/6 - 1/6 = 4/6, which simplifies to 2/3. This means that the distance between 5/6 and 1/6 on the number line is 2/3.
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Write a polynomial to represent the larger rectangle and the smaller rectangle.
Answer:
See answers below.
Step-by-step explanation:
Large Rectangle: length x width = (x + 3)(x - 4) =
x² - 4x + 3x - 12
x² - x - 12
Smaller Rectangle: length x width = (x)(3) = 3x
Shaded Region: shaded area = lg. rectangle minus small rectangle
A = (x² - x - 12) - 3x
A = x² - 4x - 12
Solve for x, if shaded reion's area is 48 square units:
48 = x² - 4x - 12
x² - 4x - 12 -48 = 0
x² - 4x - 60 = 0
(x - 10)(x + 6) = 0
x - 10 = 0 or x + 6 = 0
x = 10 or x = -6
But x represents a length, so x cannot be -6.
x = 10
please help!!! :( i really need help
Answer:
(2x + 40) - 2
(x ÷ 5) - 14
(x ÷ 2) - 18
(x + 3) + 9
3x + 12
(x ÷ 2 + 3) + 12
4 * 2x or 8x
(x ÷ 3) - 5
3x + 5
6x - 13
We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal. or
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
Answer:
1) (2x + 40) - 2
2) (x ÷ 5) - 14
3) (x ÷ 2) - 18
4) (x + 3) + 9
5) 3x + 12
6) (x ÷ 2 + 3) + 12
7) 4 * 2x or 8x
8) (x ÷ 3) - 5
9) 3x + 5
10) 6x - 13
Step-by-step explanation:
please help quickly need
Answer:
Step-by-step explanation:
its 186
What is the mode out of these numbers?
63, 63, 76, 67, 75, 79, 65, 95, 68, 90
Answer:
63
Step-by-step explanation:
Mode is the number that is repeated the most, in this case its 63
to 3 d.p.
9.
The head of the axe shown in figure 14.1 is a wedge of length 18.3 cm and
width 12 cm. It has a cylindrical hole of diameter 4 cm and its greatest
thickness is 6 cm. Find the volume of the metal used in making the axe.
18.3 cm
12 cm
6 cm
Fig. 14.1
Answer:
12 cm (I don't understand bro):(
Which statement is true about the graphs of the two lines y = –6 and x = ?
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = is a vertical line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x = is a horizontal line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x = is a horizontal line with a slope that is undefined.
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x = is a vertical line with a slope that is undefined.
Answer:
if x is positive the answer is the 4th statement and if it is negative the answer is the 3rd statement
Step-by-step explanation:
We have the statement that tells us: "the graphs of the two lines y = –6 and x =?" x, we do not know it, but from the y coordinate we can do it by discard.
In the case of y-coordinate we have that y = -6 is a horizontal line with a slope of 0, therefore of the 4 statements it is reduced to 2, the third and the fourth.
Depending on the sign that has the value of x, if it is positive or negative it would be the 3rd and 4th answer.
if x is positive it is a vertical line with a slope that is undefined, but if it is negative it is a horizontal line with a slope that is undefined.
Anna built a prism in the shape of a cube out of wood
The volume of the two prisms compares that the volume of prism B will double.
We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.
When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:
V = B x h
So, the volume of the two prism A= V = B x h
V = 18 x h = 18h
the volume of the two prism B= V = B x h
V = 18 x 2h = 36h
So, the volume of prism B will double thus the correct option is B.
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The complete question is;
Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.
How does the volume of the two prisms compare?
The volume of prism B will triple.
The volume of prism B will double.
The volume of prism B will decrease.
The volume of prism B will be cut in half.
In a locker, you find the ultimate puzzle book with 385 pages. There is also a clue leading you to another locker. Multiply the number of pages by 23 to get the code for the next locker. What is the code?
Answer:
Step-by-step explanation:
8855 is the code
Musa is 5 years less than 3 times Amina's age. How can that be represented as an expression?
3a - 5
5•(a - 3)
5 - 3a
3•(5 - a)
Answer:
3A-5
Step-by-step explanation:
Answer:
3a-5
answer
gjjkklkhggghhh
you should fill in the method getmostimprovedstudent, as well as the method getexamrange. the most improved student is the one with the largest exam score range.
The get Exam Range method must be used to an array of students in order to provide the student with the highest exam range. I must also construct a get Most Improved Student.
As part of my assignment, I'm supposed to write a method called get Exam Range that takes the lowest and highest scores from an array containing the exam results of various students, subtracts the minimum exam score from the maximum exam score, and then looks at the array again. The get Exam Range method must be used to an array of students in order to provide the student with the highest exam range. I must also construct a get Most Improved Student. When the code is run, I'm having difficulties receiving the right results.
You must complete the methods get Most Improved Student and get Exam Range using the Student and Classroom example from previously. The student with the widest variety of exam scores is the one who has progressed the most.
You must deduct the minimum and maximum exam scores in order to get the exam score range.
For instance, the range would be 90 - 75 = 15 if the exam scores were 90, 75, and 84.
Therefore,
The get Exam Range method must be used to an array of students in order to provide the student with the highest exam range. I must also construct a get Most Improved Student.
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1. Name the two-dimensional shapes that when rotated around the vertical axis form the following three-dimensional solids?
Cone:
Cylinder:
Sphere:
2. Name four, three-dimensional solid objects found in your home, workplace, etc. , and tell what geometric solid each most closely represents.
Object 1:
Object 2:
Object 3:
Object 4:
3. State the volume formulas for a cylinder, sphere, pyramid, and cone.
a. Volume formula for a cylinder:
b. Volume formula for a sphere:
c. Volume formula for a pyramid:
d. Volume formula for a cone:
Problem 1
Answers:
Cone: TriangleCylinder: RectangleSphere: Circle------------------------
Explanation:
Imagine a fan blade rotating. As it rotates really quickly, it occupies a 3D space. Or perhaps imagining rotating eggbeaters is a better thing to have in mind. Those blades spin really fast to form a 3D shape. So that's what's going on with this problem. If you spin a triangle around an axis, a cone will form. The base of the triangle forms the base of the cone. Half the base of the triangle is the radius of the cone. The height of the triangle is the height of the cone.
Similarly, a rectangle rotated around its center axis forms a cylinder. Think of a revolving door. That's often a classic example. Finally, a circle spun around any of its diameters will form a sphere.
========================================================
Problem 2
Answers:
Object 1: Cup = CylinderObject 2: Ball = SphereObject 3: Funnel = ConeObject 4: Paper towel roll = Cylinder-------------------------------
Explanation:
Pick objects around your house that are fairly simple in design and resemble either a cylinder, sphere, or cone. A cup resembles a cylinder just it doesn't have a top to it. A ball is a 3D sphere that has an interior to it, unless the ball is filled with air. A funnel resembles a cone due to its triangular shape of sorts. A paper towel roll (the card board piece or the cardboard plus the actual paper towels) resemble a cylinder as well. You can pick any four other objects you have around your house such as a cylindrical speaker, batteries (shaped as a cylinder), soup cans (also cylinders), and so on.
========================================================
Problem 3
Answers:
a) volume of cylinder = pi*r^2*hb) volume of sphere = (4/3)*pi*r^3c) volume of pyramid = (1/3)*L*W*Hd) volume of cone = (1/3)*pi*r^2*h-------------------------------
Explanation:
These formulas are what you should memorize or have handy on a flashcard. It is possible to derive them, but it would require calculus to do so. Also, such a process is quite length. So memorization or flashcards are the better way to go.
For the cylinder and cone, r is the radius and h is the height. Note how the formulas are nearly identical except the cone has the (1/3) term. This shows that the cone's volume is 1/3 that of the cylinder's volume where they both have the same radius r and height h.
The sphere also deals with the radius r, but we don't have to worry about the height of the sphere (it's really just 2r).
For the pyramid, L,W,H represent the length width and height respectively. The length and width form the base of the pyramid. Recall that L*W*H is the volume of a rectangular block. The volume of a pyramid is 1/3 of that rectangular block's volume.
If all of a 2D object's sides and angles have different lengths, such shape is said to be irregular.
What is 2D shape?In geometry, a form or figure having length and breadth is referred to as a "2D shape." Due to the lack of a thickness, a third dimension, such as the case of a prism or a cube, two-dimensional or 2D objects are often measured in terms of their two faces.
'2D' refers for 2-dimensional. A 2D shape is any form that has two dimensions. Consider for a moment what it means to have two dimensions. We could only move backwards or forwards in a straight line if we only had one dimension to work with. One dimension is a line.
Cone: Triangle
Cylinder: Rectangle
Sphere: Circle
Therefore, if all of a 2D object's sides and angles have different lengths, such shape is said to be irregular.
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(-1.1/7)
Find the exponential function f(x) = a^X of this interval.
f(x) = .........
The exponential function that passes through the point (-1, 1/7) for the given interval is f(x) = 7ˣ.
What is the exponential function?To find the exponential function that passes through the points (-1, 1/7), we can use the general form of an exponential function, which is:
f(x) = aˣ
where;
a is the base of the exponential function.First, we can use the given point (-1, 1/7) to find the value of "a". Substituting these values into the equation, we get:
1/7 = a⁻¹
To solve for "a", we can take the reciprocal of both sides of the equation and simplify:
7 = a
Now that we have found the value of "a", we can substitute it into the general form of the exponential function to get the specific function for this interval:
f(x) = 7ˣ
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The complete question is below:
(-1, 1 / 7)
Find the exponential function f(x) = aˣ of this interval.
f(x) =
A line intersects the points (0,-4) and (1,2). What is the slope-intercept equation for this line
Answer:
y = -2x
Step-by-step explanation:
First you can find the difference between the two points to find the slope.
0, 4
- 1, 2
-1, 2
Now divide: y/x = 2/-1 = -2
Slope = -2
Formula: y=mx+b
Plug in the points for the variables.
2 = -2(1) + b
2 = -2 + b
Subtract 2 from both sides to get 0 = b so this line is proportional.
Hope that helps and have a great day!
2/3 =x/12
solve the proportion plzzzzz
Answer:
x=8
Step-by-step explanation:
2/3 = x/12
x=8
Hope it helped!
Answer:
8
Step-by-step explanation:
3 * 4 = 12
therefore
2 * 4 = 8
8/12
Falling objects can be modeled with quadratic functions. One student was thinking about this
and wondered what might happen in a few different situations.
They wondered if they could get on top of a 126 foot tall building and throw a tennis ball
straight up in the air as hard as they could, how long would it take for the ball to hit the ground.
Based on their knowledge of gravity and how fast they can throw a ball, they created the
following equation, which relates time, t, in seconds to height, h(t), in feet.
h(t) = -14t² + 56t+126
a. Find the vertex of the equation and explain what it means in this context.
b. Find the x-intercepts and y-intercept and explain what they mean in this context.
This student also wonders how long it will take the ball to reach the 6th floor, which
they measured to be 72 feet from the ground. Find the time it will take for the ball to reach 72 feet.
a. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.
b. The tennis ball is initially at a height of 126 feet above the ground.
How to calculate the valuea. The x-coordinate of the vertex is 2. To find the y-coordinate, we substitute this value back into the equation:
h(2) = -14(2)² + 56(2) + 126
h(2) = -14(4) + 112 + 126
h(2) = -56 + 112 + 126
h(2) = 182
Therefore, the vertex of the equation is (2, 182). In this context, the vertex represents the highest point reached by the tennis ball during its trajectory. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.
b. In order to find the y-intercept, we set t equal to zero and evaluate h(t):
h(0) = -14(0)² + 56(0) + 126
h(0) = 126
The y-intercept is 126. In this context, the y-intercept represents the initial height of the ball when it is thrown. Therefore, the tennis ball is initially at a height of 126 feet above the ground.
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Select the correct answer from each drop-down menu.
The area of the shaded square is
square inches. The length of the unshaded rectangle is
inches.
The estimated value of the length of the shaded square is
inches. The estimated value of the area of the unshaded rectangle is
square inches.
The completed statement with regards to the area of the square and the rectangle are;
The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.
What is the area of a square?The area of a square is the product of the side lengths which are congruent, therefore;
Area of a square = Side length, s × Side length, s = s²
The possible figure in the question includes;
A shaded square that is 125 square inches
An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches
Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.
Therefore;
The side length of the square = √(125) inches = 5·√5 inches
The estimated value of the side length of the square is; 5·√5 inches
The area of a rectangle = Length × Width
The length of the rectangle = 7·√5 inches
The width of the rectangle = 5·√5 inches
Therefore;
The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175
The estimated area of the unshaded rectangle is 175 square inches
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Please create an argument about a National Landmark/Monument. Do you think there is a monument/landmark out there that should not be a National Monument? Should we make a new National monument or landmark? Why or why not?
Give 3 good reasons to back up your claim, and each reason paragraph should be supported with pieces of research, and your own words.
You will need
(Introductory Paragraph) I think _____ because (reason 1, 2, 3).
(Reason 1 Paragraph) First, (give first reason). My evidence is...
(Reason 2 Paragraph) Second, (give second reason). My evidence is...
(Reason 3 Paragraph) Third, (give third reason). My evidence is...
(Conclusion Paragraph) In conclusion, (reason 1, 2, 3) supporting the idea that ____.
Explanation:
The tallest national monument in America, it is a legendary engineering triumph, designed by Finnish-born architect Eero Saarinen. As part of the Jefferson National Expansion Memorial, the Gateway Arch serves to commemorate the accomplishments of 19th-century westward pioneers and celebrate the city’s role as the ‘Gateway to the West.’
Hope This Helps :)
What is the product of x2 - 2x +3 and x+1?