Answer:
455.81
Step-by-step explanation:
What is the 5/16 reciprocal
The reciprocal is 0.0125 or just 16/5, reciprocal means the opposite
Answer:
16/5 or 3 1/5
Step-by-step explanation:
A reciprocal is when you flip the numerator and denominator, so if you flip 5/16 it would be 16/5 or 3 1/5 :)
answer the following by setting up and following as a proporition
I need it quick
at a bad wolfs concert there are fifteen males for every twenty three people. if 23,675 people attend the concert how man males attend the concert?
write 15/7 as a mixed number
The result can be shown in multiple forms.
Exact Form:
15/7
Decimal Form:
2.142857
Mixed Number Form:
2 1/7
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Usually I try to explain what to do, but it's been a hot second from when I learned this. I uploaded a picture that might help.
This is a free tool for solving math problems if you ever need help: (no spaces or exclamation point) mat h way . co!m
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much love <333 good bye!!
there are 23 students in mr wilson's classroom. mr wilson wants to determaine the probabillities of male and female students playingon a school sports team. he surveyed his students and determained
The probability of boys and girls playing on school sport team is x/23 and y/23 respectively.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1.
This means that the addition of probability of boys and probability of girls playing in a school tem will be 1. Represent the number of boys by x and the number of girls by y.
Probability = sample space /Total outcome
Since the total number of students is 23
Therefore, the probability of boys in the team = x/23 and,
Probability of girls = y/23
therefore x/23 +y/23 = 1
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What is the rule for the reflection?
A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y) .
:D
What criteria can you use to show these two triangles are congruent?
AAS
SAS
ASA
Not congruent
The criteria that you can use to show these two triangles are congruent is A. AAS
What is congruence?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. It stands for "Angle, Angle, Side." Knowing two angles and one side is known as "AAS" (which is not between the angles). to make an AAS triangle work.
To find the other angle, add the three angles to 180°. then utilize the Law of Sines to determine each of the additional two sides. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
In conclusion, the correct option is A.
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Name a pair of lines that are perpendicular
Answer:
Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.
Step-by-step explanation:
hope it helps:)
The formula for the area of a rectangle is: A = lw
How could we solve this equation
for the width, w?
The way to solve the equation for the width, w, is to divide both sides by l. The correct option is A. We want to get w by itself, so we would divide both sides by l
Area of a rectangleFrom the question, we are to determine how we can solve the given formula for area of rectangle for the width, w
The given formula is
A = lw
To solve the given equation for w, we will divide both sides of the equation by l
That is,
A/l = lw/l
So that
A/l = w
and
w = A/l
Hence, the way to solve the equation for the width, w, is to divide both sides by l. The correct option is A. We want to get w by itself, so we would divide both sides by l
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Write a rule to represent a function for the set of ordered pairs.
Answer:
y = 4\(x^{2}\)
Step-by-step explanation:
Your inputs (x's): are -1,0,1,2,3,4 if you plug them into the equation, you get the matching outputs given in the order pairs
input -1 (x value)
y = \(4x^{2}\)
y = 4\((-1)^{2}\)
y = 4(1)
y = 4
(-1,4)
input 0 (x)
y = \(4x^{2}\)
y = \(4(0)^{2}\)
y 4(0)
y = 0
(0,0)
input 1 (x)
y = \(4x^{2}\)
y = \(4(1)^{2}\)
y = 4(1)
y = 4
(1,4)
input 2 (x)
y = \(4x^{2}\)
y = \(4(2)^{2}\)
y = 4(4)
y = 16
(2,16)
input 3 (x)
y = \(4x^{2}\)
y = \(4(3)^{2}\)
y = 4(9)
y = 36
(3, 36)
input 4 (x)
y = \(4x^{2}\)
y = \(4(4)^{2}\)
y = 4(16)
y = 64
(4,64)
A triangle has side lengths of 15 millimeters, 10 millimeters, and 13 millimeters. What kind of triangle is it?
Answer:The triangle is acute
Step-by-step explanation:
Answer:
acute
Step-by-step explanation:
Question 3: Mathematical proficiency and the construction of mathematics ideas. To answer this question, you need to understand paragraphs 2.12 and 2.13 in your study guide: Key to note the following concepts: constructivism and behaviourism. inductive and deductive thinking or reasoning. instrumental and relational understanding conceptual and procedural knowledge; and ● elements of mathematics proficiency. . e . (10 marks) ● 3.1 Create an activity where procedural and conceptual understanding co-exists. Revisit your content areas and choose a problem to solve and demonstrate how procedural and conceptual knowledge can be linked to the teaching and learning process. (6) 3.2 Provide an example to explain the difference between conceptual knowledge and procedural knowledge.
Given statement solution is :- Math Proficiency conceptual knowledge involves understanding the fundamental concept of division and its relationship to fractions, enabling flexibility in solving division problems with different fractions. Procedural knowledge, on the other hand, focuses on following a specific set of steps to achieve a correct solution without necessarily comprehending the underlying concept.
3.1 Activity: Procedural and Conceptual Understanding in Action
Content Area: Fractions
Problem: Comparing Fractions
Objective: Students will demonstrate both procedural and conceptual understanding of comparing fractions.
Activity Steps:
Begin by introducing the concept of fractions and reviewing the basic procedures for comparing fractions (e.g., finding a common denominator, cross-multiplying).
Provide students with a set of fraction comparison problems (e.g., 2/3 vs. 3/4, 5/8 vs. 7/12) and ask them to solve the problems using the traditional procedural approach.
After students have solved the problems procedurally, engage them in a group discussion to explore the underlying concepts and relationships between fractions. Ask questions such as:
What does it mean for one fraction to be greater than or less than another?
Can you explain why we need a common denominator when comparing fractions?
How can you visually represent and compare fractions to better understand their relative sizes?
Introduce visual aids, such as fraction bars or manipulatives, to help students visualize the fractions and compare them conceptually. Encourage students to reason and explain their thinking.
Have students revisit the fraction comparison problems and solve them again, this time using the conceptual understanding gained from the group discussion and visual aids.
Compare the students' procedural solutions with their conceptual solutions, and discuss the similarities and differences.
Conclude the activity by emphasizing the importance of both procedural and conceptual understanding in solving fraction comparison problems effectively.
By incorporating both procedural and conceptual approaches, this activity allows students to develop a deeper understanding of comparing fractions. The procedural approach provides them with the necessary steps to solve problems efficiently, while the conceptual approach helps them grasp the underlying principles and relationships involved in fraction comparison.
3.2 Example: Conceptual Knowledge vs. Procedural Knowledge
Conceptual knowledge refers to the understanding of underlying concepts, principles, and relationships within a domain, whereas procedural knowledge focuses on knowing the specific steps or procedures to perform a task without necessarily understanding the underlying concepts.
Example: Division of Fractions
Conceptual Knowledge: Understanding the concept of division as the inverse operation of multiplication, and recognizing that dividing fractions is equivalent to multiplying by the reciprocal of the divisor. This understanding allows for generalization and application of division concepts to various fractions.
Procedural Knowledge: Following the specific steps to divide fractions, such as "invert the divisor and multiply" or "keep-change-flip" method. This knowledge involves applying the procedure without necessarily grasping the underlying concept or reasoning behind it.
In this example, Math Proficiency conceptual knowledge involves understanding the fundamental concept of division and its relationship to fractions, enabling flexibility in solving division problems with different fractions. Procedural knowledge, on the other hand, focuses on following a specific set of steps to achieve a correct solution without necessarily comprehending the underlying concept.
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rianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0.2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural?
3.6 inches
18.2 inches
60 inches
90 inches
Answer:
3.6
Step-by-step explanation:
Bhcnjxyfoufkxxfuiudg
WHERE DID CAROLYN MESS UP?
Answer:
line 2 of her working
Step-by-step explanation:
when multiplying the brackets out it is a negative times posative so she should have wrote -4 not +4
Question 1 of 5
A rope is stretched from the top of a 5-foot tent to a point on the
ground that is 9 feet from the base of the tent.
5 ft
9
How long is the rope? Approximate to the nearest tenth if necessary.
A. 10.3 ft
B. 4 ft
C. 14 ft
D. 7.5 ft
The length of the rope is A. 10.3 ft.
The required triangleNow, the length of the rope, L, the height of the tent , h and the distance of point on ground, d form a right-angled triangle with hypotenuse side length of rope,L
Pythagoras' theorem
Using Pythagoras' theorem which states that in any right-angled triangle, the square of the hypotenuse side equals the sum of the squares of the other two sides.
So, L² = h² + d²
The length of the rope
L = √(h² + d²)
Since h = 5ft and d = 9 ft
Substituting the values of the variabes into the equation, we have
L = √(h² + d²)
L = √(5² + 9²)
L = √(25 + 81)
L = √106
L = 10.29 ft
L ≅ 10.3 ft
So, the length of the rope is A. 10.3 ft.
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prove that for every positive rational number r satisfying the condition r2<2 one can always find a larger rational number r h (h>0 ) for which (r h)2<2 .
Answer: Suppose there exists a positive rational number r such that r^2 < 2. Then we have 2 - r^2 > 0. Let h = (2 - r^2)/4. Then h > 0 because r^2 < 2.
Consider the number rh = r + h. We have:
(rh)^2 = (r + h)^2 = r^2 + 2rh + h^2 = r^2 + 2(2 - r^2)/2 + (2 - r^2)/16
= r^2 + 2 + (2 - r^2)/16
< 2 + 2 + (2 - 2)/16 = 2.
Thus, for any positive rational number r such that r^2 < 2, there exists a larger positive rational number rh = r + h such that (rh)^2 < 2.
Step-by-step explanation:
HELP PLEASE 16 points
Write and solve an equation for the problem described below.
The sum of 57 and a number x is 45.
Answer:
57+x = 45
The sum means your adding numbers. it says the sum of 57 and a number x. That means you are adding 57 and the number x. which is written as 57+x. It says after that "is 45" so the sum or answer is 45.
You can also solve for x.. if you want to, the answer would be x=-12.
because.. 57+-12 = 45
Step-by-step explanation:
what is the greatest common factor of 60, 84 and 126?
Answer:
its 6
Step-by-step explanation:
need help writing a function
n⁴ - 2n³ - 23n² + 24n + 144 is the standard form of given zeroes.
What is a linear equation in mathematics?
A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.
A linear equation is an equation that raises a variable to the first power. ax+b = 0 is an example of a 1 variable. x is a variable and a and b are real numbers.
Roots : -3(mult . 2), 4(mult.2)
the function is given as
f(n) = (n + 3)² (n - 4)²
= (n + 3) (n + 3 ) ( n - 4 ) ( n - 4)
= (n² + 6n + 9) (n² - 8n + 16 )
= n⁴ - 8n³ + 16n² + 6n³ - 48n² + 96n + 9n² - 72n + 1
collecting like term,
f(n) = n⁴ - 2n³ - 23n² + 24n + 144
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The sum of two numbers is -17. Their difference is 41. Find the numbers
Answer:
Step-by-step explanation:
x+y = -17
x-y = 41
------------
2x = 24
x = 12
y = -x-17 = -29
A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mile inland (see figure). He can row at a rate of 1 mile per hour and walk at 3 miles per hour. Toward what point on the coast should he row in order to reach point Q in the least time? (Round your answer to two decimal places.) 0.84 mile(s) down the coast
Least time required to reach the point Q as per the distance and the speed rate is equal to 2 hours.
As given in the question,
Nearest point on the coast is 2 miles far away
rate of the row = 1mile per hour
Walk at the rate of 3 miles per hour
Let 'x' hours be the least time to reach point Q.
Time = distance / speed
Time taken to reach the point Q = [√ 1 + ( 3 - x)² ]/ 3
Time taken to reach the coast = (√ 4 + x² ) / 1
Total time taken 't' = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3
To find least time dt/dx = 0
t = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3
⇒dt/dx = [ x / √ 4 + x² ] + ( 3 - x) / √( 10 -6x + x² )
⇒x / √ 4 + x² = ( x - 3) / √( 10 -6x + x² )
Squaring both the side we get,
x² / (4 + x²) = ( x - 3)² / ( 10 -6x + x² )
⇒3x² -24x +36 =0
⇒ x² -8x + 12 = 0
⇒ x = 2 or 6 hours
Therefore , the least time taken to reach the point Q is equal to 2 hours.
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What is the volume of the prism 2.4in 1.5in 8in
Answer:
The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.
WILL GIVE BRAINLIEST!!!
At a table tennis tournament, two games lasted a total of 32 minutes. One game took 12 minutes longer than the other. How long did it take to complete each game? Use letters to represent the unknowns. Solve the problem
Answer:
22 and 10 minutes
Step-by-step explanation:
x+x+12= 32
2x+12= 32
2x= 20
x= 10 This is one game.
10+12= 22 This is the other game.
Solve x^2+8x+22=0 by completing the square.
Answer: x = √-6 - 4
Step-by-step explanation:
x^2+8x+22=0
(x+4)^2 - 16 + 22 = 0
(x+4)^2 + 6 = 0
(x+4)^2 = -6
√(x+4)^2 = √-6
x = √-6 - 4
√6 = 2.449
HELP!!
Next, you will make a scatterplot. Name a point that will be on your scatter plot and describe what it represents.
A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.
What is the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:
(Input, Output).
One point on the scatter plot for this problem has the coordinates given as follows:
(19, 3).
Hence the meaning is that an input of 19 is mapped to an output of 3.
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2(z + 5) + 4 = -12 What does z equal?
Answer: z = -13
Step-by-step explanation:
2z + 10 + 4 + = - 12
2z = -10 -4 - 12
2z = -26
z = -13
Please help I am so so confused thank you all
y-(-9) = -6(x-(-4)), y = -6x-33
what shows the equation written in form ax^2+bx+c=0? x^2+6x+8=3
Answer:
\(x^2+6x+5=0\)
Step-by-step explanation:
Hi there!
\(ax^2+bx+c=0\\x^2+6x+8=3\)
Subtract 3 from both sides to equate the right side to 0
\(x^2+6x+8-3=3-3\\x^2+6x+5=0\)
I hope this helps!
plz help im stuck
A lamp has a circular base with a circumference of 32 inches. What is the area of the base of the lamp?
An ice cream cone has a diameter of 3 inches and a height of 6 inches. How much ice cream can just the cone hold?
Answer:
14.13 cubic inch
Step-by-step explanation:
volume=(π x r^2 x h) divided by 3
Volume=(3.14x(1.5)^2x6) divided by 3
Volume=(3.14x1.5x1.5x6) divided by 3
Volume=42.39 divided divided by 3
Volume=14.13
Volume=14.13 cubic inch
Question
Find the product.
−4x5(11x3+2x2+9x+1)=
Step-by-step explanation:
multiply -4x the power of 5 by the numbers in the bracket then you will get the answer