The cube can contain 1000 cm^3 of water
How to determine the amount of water?The side length is given as:
L = 10 cm
The amount of water it can contain is calculated as;
V =L^3
So, we have:
V = 10^3
Evaluate
V = 1000
Hence, the cube can contain 1000 cm^3 of water
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True or False: In an exponential regression, the data points tend to increase in one direction and flatten out in the other direction.
Answer:
T
Step-by-step explanation:
The regression line is flat when there is no ability to predict whatsoever. The regression line is sloped at an angle when there is a relationship. The extent to which the regression line is sloped, however, represents the degree to which we are able to predict the y scores with the x scores
Can someone explain me the entire history of consecutive numbers like what is it and what is it for
Consecutive numbers are numbers that follow each other in order, with a difference of 1 between each number.
What are consecutive numbers ?The concept of consecutive numbers has been studied since ancient times, and has been used in various mathematical problems and puzzles.
Consecutive numbers are also commonly used in algebra, where they can be used to set up equations to solve problems. For example, if you are asked to find the sum of the first n consecutive numbers, you can set up the equation (n/2)(2a + (n-1)) = sum, where a is the first number and sum is the total sum of the consecutive numbers.
In geometry, consecutive numbers are used to define polygons, such as triangles, quadrilaterals, pentagons, and so on. For example, a triangle consists of three consecutive vertices on a plane, while a quadrilateral consists of four consecutive vertices.
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29. The formula below is often used by project managers to compute, E, the estimated time to complete a job, where O is the shortest completion time, P is the longest completion time, and M is the most likely completion time. E = O + 4M + P 6
The formula below is often used by project managers to compute, E, the estimated time to complete a job, where O is the shortest completion time, P is the longest completion time, and M is the most likely completion time P = 6E - O - 4M.
Given, that E is the estimated time to complete a job.
O is the shortest completion time.
P is the longest completion time.
And, M is the most likely completion time.
The equation given, E = (O + 4M + P)/6
By balancing the equation, multiplying both sides by 6 we get
or, 6E = O + 4M + P
Now, subtracting O + 4M from both sides, we get
P = 6E - O - 4M.
Therefore, we get P in terms of P = 6E - O - 4M.
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A weaver completes about 2/3 of a basket each say. How long will it take her to make 12 baskets?
A survey finds that 73 people like horror movies and 87 people do not. Of those who like horror movies, 39 people have visited a haunted house. Of those who do not like horror movies, 42 people have visited a haunted house.
The proportion of people who have visited a haunted house among those who like horror movies is 53. 42 %.
How to find the proportion ?We can find the proportion of people who have visited a haunted house among those who like horror movies by dividing the number of people who like horror movies and have visited a haunted house by the total number of people who like horror movies :
The proportion is therefore:
= Number who have visited haunted house / Total number of people who like horror movies x 100 %
= 39 / 73 x 100 %
= 0. 5342 x 100 %
= 53. 42 %
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The full question is:
A survey finds that 73 people like horror movies and 87 people do not. Of those who like horror movies, 39 people have visited a haunted house. Of those who do not like horror movies, 42 people have visited a haunted house.
What is the proportion of people who have visited a haunted house, among those who like horror movies ?
the square with a side length (x + 3) and an equilateral triangle with side lengths (3x-1) have the same perimeter what is the value of x?
Help please
Answer: x = 9/5 or \(1\frac{4}{5}\)
35 1/5 is the perimeter of the square and the triangle.
Step-by-step explanation:
The square has 4 sides, so the perimeter of the square is 4(x+3)
The triangle has 3 sides so the perimeter is 3(3x-1)
The perimeters are equal, so 4(x+3) = 3(3x-1)
Solve by distributing and then
4x +12 = 9x - 3 subtract 4x from both sides and add 3 to both sides
4x-4x +12 -3 = 9x-4x -3 +3 cancel the zero sums and combine similar terms.
9 = 5x divide both sides by 5
x = 9/5
Check: 4(9/5 +3) = 3[3(9/5) -1]
36/5 + 3 = [3( 27/5 -1 ] 27/5 -3 -3 equivalent -15/5 27/5 -15/5 = 12/5
36/5 = 3(12/5) = 36/5 TRUE! simplify to mixed numbers
35 1/5 is the perimeter of the square and the triangle.
Answer:
u,
Step-by-step explanation:
What is the value of y at the y-intercept of the equation 10x + 3y = 12?
Answer:
The y-intercept is (0, 4).
To solve for y as a regular equation: y = 4 - 10x/3
Step-by-step explanation:
The y- intercept of the given equation is B
The given equation is 10x+3y=12, we need to find the y intercept
What is slope intercept form of a line?
y=mx+b
10x+3y=12
3y=12-10x
y=4-10/3 x
y=-10/3x+4
Where -10/3 is slope and 4 is the y- intercept
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1Evaluate the formula C =729+ zfor the given values.z=7C =(Type an integer or a simplified fraction.) )
Given: C=729+z
Put z=7 in C=729+z.
\(\begin{gathered} C=729+z \\ =729+7 \\ =736 \end{gathered}\)Therefore, C=736 when z=7.
PLEASE ANSWER AS SOON AS POSSIBLE
Answer:
4 to 1
Step-by-step explanation:
Tablespoon of cocoa to Tablespoon of sugar
8 : 2
\(\frac{8}{2}\) : \(\frac{2}{2}\)
4 to 1
When recipe is doubled: ( 8 x 2) to (2 x 2)
16 : 4
\(\frac{16}{4}\) : \(\frac{4}{4}\)
4 to 1
It can be observed that the ratio remains the same
There are 32 females cast in the school play. The ratio of male roles is 3:8. How many males are cast in the school play
Given the equation y = 2 csc(7π/4x-21π/2)
The horizontal shift is:
units to the Select an answer (right or left)
The exact period (give as an integer or fraction) is:
The horizontal shift is to the right.
The exact period is 8/7.
How to find the the horizontal shiftIn a trigonometric function, written of the form
y = A csc (Bx - C)
the parameters are interpreted as follows
A is the amplitude
B is period / 2π
C is the horizontal shift
comparing with the equation y = 2 csc (7π/4x - 21π/2). we have that
horizontal shift = -21π/2 since it is positive it is to the right
The exact period is
Period = 2π / (7π/4)
= 8/7
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what is the volume please help.
Answer:
120yd cube
Step-by-step explanation:
find m
please and thank you
The measure of angle K and L in the first figure is ∠L = 23 degrees and ∠K = 157. Second figure, the measure of ∠K = ∠L = 70 degrees.
What is sum of interior angles?A polygon's interior angle is the angle created between its two adjacent sides. Alternately, we may state that the internal angle of a polygon refers to the angle measured at the interior portion of a polygon.
For figure 2 the two lines are parallel to each other, and the line that meets the parallel line at points at M and L are from two equal lines.
Hence, the angle suspended by both are equal, that is:
∠L = ∠M
∠L = 23 degrees.
Now, the ∠K and ∠J are created by two parallel lines; hence they are equal:
∠K = ∠J = x
The sum of interior angles of a quadrilateral is 360, so:
∠L + ∠M + ∠J + ∠K = 360
23 + 23 + x + x = 360
46 + 2x = 360
2x = 360 - 46
x = 157
Hence, the measure of angle K and L is 157 and 23 respectively.
For the second figure, the angle K and L are created by equal length of segments.
∠K = ∠L = x
The sum of interior angles of a quadrilateral is 360, so:
∠L + ∠M + ∠J + ∠K = 360
x + 90 + 130 + x = 360
2x + 220 = 360
2x= 360 - 220
x = 70
Hence, the angle of K and L is 70 degrees.
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Does anyone have Envision volume 2 book for 5th grade I need only lesson 13? 2 page ?
I’m sorry but I could not find a pdf version of the Envision volume 2 book for 5th grade online. However, I found some websites that have answer keys and lesson plans for the book. You can check them out by searching for the following queries:
Envision Math Grade 5 Answer Key | Envision Math 5th Grade Textbook Answers – enVision Math Answer Key ( 1 )5th Grade Envision Topic 13 Lessons Teaching Resources | TPT ( 2 )IXL skill plan | 5th grade plan for enVisionMATH 2.0 ( 3 )I hope this helps you with your homework.
A pebble dropped from a bridge strikes the water in exactly 9.5 seconds. How high is the bridge?
The height of the bridge is 442.23m.
In the question ,
it is given that
time taken(t) to reach the pebble from bridge to the water = 9.5 sec
the initial velocity(u) = 0 ....as the ball was at rest ,
the acceleration(a) is the gravity = 9.8 m/s
let s be the distance between bridge and water , which means the height of the bridge = h
Now by the second equation of motion , we have
h = u*t + (1/2)*a*t²
Substituting the values of u, a, t from above , we get
h = 0*9.5 + (1/2)*9.8*(9.5)²
h = 0 + (1/2)*9.8*90.25
h = 0 + 884.45/2
h = 884.45/2
h = 442.225
h ≅ 442.23
Therefore , if a pebble dropped from a bridge strikes the water exactly 9.5 sec then the height of the bridge is 442.23m .
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Give at least 5 definitions that one should know if learning the *introduction* to algebra 1
1. Variable: A symbol or letter that represents an unknown value or quantity in algebraic expressions and equations.
2. Equation: A mathematical statement that shows the equality between two expressions, typically represented by an equal sign (=).
3. Coefficient: The numerical factor that is multiplied by a variable in a term.
4. Expression: A mathematical phrase that may contain variables, constants, and operations, but does not have an equal sign.
5. Linear Equation: An equation in which the highest power of the variable is 1, written in the form ax + b = 0, where a and b are constants and x is the variable.
Variable: In algebra, a variable is a symbol (usually a letter) that represents an unknown value or quantity. It allows us to express mathematical relationships and solve equations.
Equation: An equation is a mathematical statement that shows the equality between two expressions.
It consists of an equal sign (=) and can include variables, constants, and operations.
Solving equations involves finding the values of the variables that make the equation true.
Coefficient: A coefficient is the numerical factor that is multiplied by a variable in a term.
It represents the scale or magnitude of the variable.
For example, in the term 3x, the coefficient is 3.
Expression:
An expression is a mathematical phrase that can contain variables, constants, and operations, but does not have an equal sign.
Expressions can be evaluated or simplified, but they cannot be solved since they lack the equality found in equations.
Linear Equation:
A linear equation is an equation where the highest power of the variable is 1.
It can be written in the form ax + b = 0,
where a and b are constants and x is the variable.
Solving linear equations involves finding the value(s) of x that satisfy the equation.
These are just a few key definitions that form the foundation of understanding introductory algebra.
Mastering these concepts will provide a solid basis for further exploration and learning in algebraic principles and problem-solving.
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Find f(g(4)) if f(x)=2x+1 and g(x)=x^2
Answer:
is this even math????
Step-by-step explanation:
First solve g(x) by replacing x with 4
G(x) = x^2 = 4^2 = 16
Now replace x in f(x) with 16:
F(x) = 2x + 1 = 2(16) + 1 = 32 +1 = 33
The answer is 33
evaluate each expression using properties of numbers 3 2/3+4+5 1/3
Answer:
13
Step-by-step explanation:
Hello. I hope this was what you were looking for
5a + 4b^2
(if a = -11 and b = 3)
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. Find the weight per carton.
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.
Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.
How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.
Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.
The weight per carton is 55 pounds.
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Marquis sold gift-wrapping paper for a school fundraiser. He sold at least 15 rolls of paper. Write an inequality to represnet the amount of money, d, Marquis earned for the fund-raiser
The inequality to represent the amount of money, Marquis earned for the fund-raiser is d ≥ 15p
What is the inequality to represent the information?
Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Let the cost of each paper be p.
Since Marquis sold gift-wrapping paper for a school fundraiser and he sold at least 15 rolls of paper.
An inequality to represent the amount of money, Marquis earned for the fund-raiser is:
d ≥ (15 × p)
d ≥ 15p
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Things such as Advil and Tylenol are not dangerous because anyone can purchase them.
True
False
Answer:
They arent really dangerous bc anyone can literally buy them but like all medication its not good to take more than the recommended amount.
Terri buys five and seven-eighths ounces of chocolate chips. She uses four and four-sixths ounces in a recipe. How many ounces of chocolate chips does she have left?
Answer:
1 5/24 ounces--------------------------
Find the difference of the initial and used amounts:
5 7/8 - 4 4/6 = 5 - 4 + 7/8 - 4/6 = Combine whole and fraction parts1 + 7/8 - 2/3 = Simplify1 + 21/24 - 16/24 = Common denominator is 241 + 5/24 = Convert to mixed fraction1 5/24ayudaaa a resolver esto plis
The value of x in degrees will be 6° and 11° using properties of parallel lines.
What Qualities Characterize Parallel Lines?They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.
Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.
The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.
In the above figure,
8x + 7 = 55
8x = 55 - 7
x = 6
Measure of the angle will be 8 × 6 + 7 = 49
In 11)
10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)
⇒x = 11
The value of x in degrees will be = 11° using properties of parallel lines.
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The nth term of an AP is given by 2n +9 find the first term
Malcolm draws this map of his neighborhood . Help please and thank you!!!!!
Answer:
Alden, perpendicular, Elm, parallel
Step-by-step explanation:
What is the area of this figure?
Question 10 options:
124 in2
112 in2
184 in2
Answer:
112 in2
Step-by-step explanation:
6 x 4 / 2 + 10 x 10 = 24 / 2 + 100
12 + 100 = 112 in2
Hope that helps!
What is slope of the line below? Be sure to simplify your answer, if possible.
4/3
2/3
8/3
1/2
Answer:
4/3
Step-by-step explanation:
5.7 + 2(w + 1) = 2w + 9
- 8(4 + 9r) = 7(- 2 - 11r)
Answer:
Step-by-step explanation:
5.7 + 2(w+1) = 2w + 9
5.7 + 2w + 2 = 2w + 9
7.7 = 9, which is impossible, so there is no solution.
:::::
-8(4+9r) = 7(-2-11r)
-32-72r = -14-77r
5r = 18
r = 3.6
What is the axis of symmetry, vertex and y intercept for 2x^2-8x-5
Answer:
Axis of symmetry: x = 2
Vertex at: (2, -13)
y-intercept is (0, -5)
Step-by-step explanation:
The equation for the x-value of the vertex in a quadratic of the form:
\(y=ax^2+bx+c\)
is given by:
\(x_{vert}=-\frac{b}{2\,a}\)
which in our case gives:
\(x_{vert}=\frac{8}{2*2} =2\)
Then the equation for the axis of symmetry is given by: x = 2
and the y of the vertex can be calculated as:
\(y_{vert}=2 (2)^2-8\,(2)-5=-13\)
Then the vertex is at the point: (2, -13)
And the y-intercept is found when x=0, that is:
y-intercept is (0, -5)