When inflating a balloon, the expansion of the balloon represents an equal but opposite force acting on the balloon
What is force?A force is an influence that has the power to alter an object's motion. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F.Thrust, which increases an object's velocity; drag, which decreases an object's velocity; and torque, which causes changes in an object's rotational speed, are all concepts connected to force. Each part of an extended body often exerts stresses on the sections that are nearby; the distribution of these forces throughout the body is what is known as the internal mechanical stress. Due to the balance of the forces, such internal mechanical stresses do not generate acceleration of that body. Pressure is a straightforward form of stress that, if unbalanced, can cause the body to accelerate. Pressure is the distribution of several small forces applied over an area of a body. Stress typically results in the flow of fluids or the deformation of solid materials.To learn more about force, refer to
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is 1.030030003 a whole number a natural number an integer a real number a rational number or irrational number
Real numbers are numbers that are continous on the number line. They include positive and negative numbers. They can be integers, natural numbers, rational or irrational numbers.
In this exercise the number 1.030030003 is a real number because it can be found on the real number line
It is also a rational number because it is a repeating decimal
the slop of (6,2) and (24,8)
Answer:
1/3
in decimal its 0.333333
Step-by-step explanation:
I did it before
PLEASE HELP WILL MARK BRAINLIEST AND 20 POINTS !!
Write the system of equations for the matrix.
[0. 2. 3. / 4
[8 -1 -2 / 5
[2. 0. 1 /9
The three equations that will emerge from the given matrix will be:
2y + 3z = 48x - 1y - 2z = 52x + z = 9What are equations?An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. Like 3x + 5 = 15, for example. There are many different types of equations, including linear, quadratic, cubic, and others. In a mathematical equation, the equals sign is used to express that two expressions are equal.So, the equations for the given matrix will be:
[0. 2. 3. / 4]
[8 -1 -2 / 5 |
[2. 0. 1 / 9 ]
Now, the equation will be:
2y + 3z = 48x - 1y - 2z = 52x + z = 9Therefore, the three equations that will emerge from the given matrix will be:
2y + 3z = 48x - 1y - 2z = 52x + z = 9Know more about equations here:
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Nicholas is saving money to buy a new video game. He started with $25 and after 3 weeks of doing chores he had $70.
Use the diagram and the given angle measure to find the other three measures
The measures of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.So, ∠2 = 34°:
Now calculate other angles as follows:
(1) ∠1:
We can easily tell that ∠1 and ∠2 together make a straight angle which makes 180°. Then,
∠1 + ∠2 = 180∠1 + 34 = 180∠1 = 180 - 34∠1 = 146°(2) ∠3:
∠1 and ∠3 are a pair of vertically opposite angles and thus are equal.
∠1 = ∠3 = 146°∠3 = 146°(3) ∠4:
∠2 and ∠4 are a pair of vertically opposite angles and thus are equal.
∠2 = ∠4 = 34°∠4 = 34°Therefore, the measure of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.
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Please help! I have no idea what I’m doing and I’m super behind, I absolutely suck at math!
The function f(x) is graphed below.
(Picture below)
A) what is f(0)
B)what is f(3)
C) what is f(2)
Answer: 0, 3, 0
Step-by-step explanation:
f(a) represents the value of f(x) at x=a.
What’s the area ? 50 points
Answer:
The area of the figure is 325.17 ft²===============================
The area of the given shape can be found as a sum of three simpler shapes:
Triangle, rectangle and semi-circle.The semi-circle has the radius of 9 ft, its area is:
A = πr²/2 = 3.14*9²/2 = 127.17 ft²The rectangle has dimensions of 9 ft and 26 - 9 = 17 ft, its area:
A = lw = 9*17 = 153 ft²The triangle has bas of 9 ft and height 26 - 9 - 7 = 10 ft, its area is:
A = bh/2 = 9*10/2 = 45 ft²Area of the shape is:
A = 127.17 + 153 + 45 = 325.17 ft²Question 1
Write the equation of the line that is parallel to the x-axis and contains point (2, 7).
PARALLEL LINES HAVE EQUAL GRADIENTS
THE GRADIENT IN THE X-AXIS IS EQUAL TO 0 SINCE THE THE Y VALUE FOR ANY X VALUES IS 0
[tex]m = \frac{0 - 0}{x2 - x1} \\ m = 0[/tex]
This just means that the gradient for the line parallel to the given line is 0
I will use the technique of the General equation of a straight line. y=mx+c
[tex]7 = (0)(2) + c \\ c = 7[/tex]
THE EQUATION IS
[tex]y = 7[/tex]
ATTACHED IS THE SOLUTION.
The list price of an air conditioner is $ 1260. The store offers an off season discount of 16% on it. Find its selling price.
Answer: $1058.40
Step-by-step explanation:
16% of 1260
10%=126
5%=63
1%=12.6
10% divide by 10
5% divide by 10 then divide by 2
1% divide by 100
126+63+12.6=201.6
$201.60
Because it is on a discount we know subtract it with the original price
1260-201.6=1058.4
$1058.40
Use substitution to find the solution to the linear/quadratic system. y - 2x^2 = 4x + 1 y = 14x - 7 Blank 1: (___7) Blank 2: (___49) Blank # 1:Blank # 2:
The given system is
[tex]\mleft\{\begin{aligned}y-2x^2=4x+1 \\ y=14x-7\end{aligned}\mright.[/tex]Let's replace the second equation with the first one.
[tex]14x-7-2x^2=4x+1[/tex]Now, we solve the quadratic equation.
[tex]\begin{gathered} 14x-7-2x^2-4x-1=0 \\ -2x^2+10x-8=0 \\ -2(x^2-5x+4)=0 \\ x^2-5x+4=0 \end{gathered}[/tex]Then, we have to find two numbers whose product is 4 and whose sum is 5. Those numbers are 4 and 1.
[tex]\begin{gathered} (x-4)(x-1)=0 \\ x_1=4 \\ x_2=1 \end{gathered}[/tex]We use these values to find y.
[tex]\begin{gathered} y_1=14\cdot4-7=49 \\ y_2=14\cdot1-7=7 \end{gathered}[/tex]Hence, the solutions to the given system are (4,49) and (1,7).what do the factoring of special products have in common?
We know that specific products multiply specific kinds of binomials, so these binomials will be the product's factors.
Example:
2 × 3 = 6Factors of 6: 2 × 3What are special products?Simply put, special products are just special cases of multiplying together specific types of binomials. We offer three unique products: (a + b)(a + b) (a - b)(a - b)So, we know that special products are multiplying special types of binomials which means that these binomials will be the factors of the product.
For example:
2 × 3 = 6Factors of 6: 2 × 3Therefore, we know that specific products multiply specific kinds of binomials, so these binomials will be the product's factors.
Example:
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Determine if the equation is linear,quadratic,exponential, or absolute value Y=x² -5x+6
Explanations:
Note that any expression of the form:
[tex]ax^2\text{ + bx + c}[/tex]is a quadratic polynomial.
The given equation in the question is:
[tex]Y=x^2\text{ - 5x + 6}[/tex]Comparing the given equation with the general expression I wrote above:
a = 1, b = -5 and c = 6.
Since the given equation takes the form of the general expression, it is therefore quadratic.
PLS HELP!!!
Building an A-frame dog house. Your club has decided to build and sell dog houses for a fundraising project. You found this dog house and set of plans by searching the net.
A customer has offered to pay extra if you will make one half the size called for in the plans. Take each of the 5 measurements shown in the drawing and find half of the measurement. Show your work to get full credit!
The one half of the dimensions of the frame dog house is obtained.
What is termed as the mixed fractions?A mixed fraction is a form of fraction that has both a whole number as well as a fractional part. An improper fraction could also be formed from a mixed fraction. To do so, follow the steps outlined below. Step 1: Multiply the mixed fraction's denominator by the whole number part.Step 2: Subtract the numerator from the product obtained in step 1.Step 3: In numerator/denominator form, compose the improper fraction only with sum obtained in step 2.For the given question, the dimensions of the frame dog house are given as;
Gusset plate:Height = 5 ³/₂ inchesBase = 3 ¹/₂ inchesFloor plate = 47 ¹/₄ inches Thickness = 2 inchesSlope = 45 ¹/₄ inchesConvert the following fraction in improper by the above method;
Gusset plate:Height = 13/2 inchesBase = 7/2 inchesFloor plate = 189/4 inches Thickness = 2 inchesSlope = 181/4 inchesNow, customer has offered to pay extra if you will make one half the size called for in the plans.
Multiply each dimension with 1/2.
Gusset plate:Height = 13/2 × 1/2 = 13/4 inchesBase = 7/2 × 1/2 = 7/4 inchesFloor plate = 189/4 × 1/2 = 189/4 inches Thickness = 2× 1/2 = 1 inchSlope = 181/4 × 1/2 = 181/8 inchesThus, the one half of the dimensions of the frame dog house is obtained.
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Tell whether x and y show direct variation. Explain your reasoning.
y - x = 0. Find the value of k
In the given equation x and y show a direct variation of the form:
y = x
Where the value of k is 1.
Is there a direct variation?
A direct variation between two variables x and y is written as:
y = k*x
Where k is called the constant of proportionality.
Here we have the equation:
y - x = 0
moving x to the right side we get:
y = x
This is a direct variation with k = 1.
y = 1*x
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Explain if the triangles below are congruent or not and explain why you think that.
In this picture, we have the triangles with two common sides and one common angle. However, they are not congruent, as they do not follow any of the congruence theorems. The congruence theorem with two sides and an angle is the SAS(Side-Angle-Side). However, the angle has to be the angle between the two sides, which does not happen in this case.
Write an exponential expression equivalent to 8^3 that has a base of 2.
The exponential expression equivalent to 8^3 that has a base of 2 is 2^9.
What is exponential expression?
Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied.
Applying the laws of indices,
The expression 8^3 can be written as,
8 x 8 x 8 = (2^3) x (2^3) x (2^3)
= 2^(3+3+3) ...{If a^m x a^n then a^(m+n) }
8 x 8 x 8 = 2^9
Therefore, the exponential expression equivalent to 8^3 that has a base of 2 is 2^9.
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Write an expeession equivalent to 0.4x
A. X-0.6x
B. 1-0.6x
C. X + 0.4
D. 0.4x-x
Answer:
A. X-0.6x
Step-by-step explanation:
A. X-0.6x = 0.4x YES
B. 1-0.6x = 1 - 0.6x NO
C. X + 0.4 = 1.4x NO
D. 0.4x-x = -0.6x NO
A data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74.
Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form.
Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer.
True or False: The relation {(9,1), (0,1), (9,-3), (-4,12)} is a function.
Given
relation = {(9,1), (0,1), (9,-3), (-4,12)}
Find
Is this a function?
Explanation
A relation is a function only if it relates each element in its domain to only one element in the range.
here , domain 9 has two range value 1 and -3
so it is not a function
Final Answer
Hence , it is false
Answer:
False
Step-by-step explanation:
Definition:
Function is a set of coordinate points where each coordinate points do not have same domains (x-values). If we express mathematically, we can do as [tex]\displaystyle{f=\left \{(x_0,y_0),(x_1,y_1),(x_2,y_2),...,(x_n,y_n)\}\right}[/tex] where [tex]\displaystyle{x_0\neq x_1 \neq x_2\neq \dots \neq x_n}[/tex]Function is also considered to be a relation but not all relations can be functions.
As accorded to the relation, it turns out that there are two same domains (x-values) which is 9 from (9,1) and (9,-3). Therefore, this relation doesn’t satisfy the definition of function so it’s not a function.
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Teresa surveyed 100 students about whether they like pop music or country music. Out of the 100 students surveyed, 41 like only pop, 35 only like country, 11 like both pop and country, and 13 do not likeeither pop or country. Complete the two-way frequency table.
we have
see the attached figure to better understand the problem
please wait a moment (to fill the table)
Which transformations do not result in mapping (-k, k) to
(k, - k) ?
A) Reflection in the line y = x
B) Reflection in the line y = -x
C) Reflection in the y -axis, followed by a reflection in the x-axis
D)Translation k units right, followed by a reflection in the y-axis
The function translation / transformation rules:
f (x − b) moves the function b units to the right.−f (x) reflects the function in the x-axis (that exists, upside-down).What are the types of transformations on a graph?Function transformations specify how a function is moved on a graph and how its shape is altered. Translation, dilatation, and reflection are the three main categories of function transformations.
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations is a typical kind of algebraic problem.
The function translation / transformation rules:
f (x) + b moves the function b units upward.f (x) − b moves the function b units downward.f (x + b) moves the function b units to the left.f (x − b) moves the function b units to the right.−f (x) reflects the function in the x-axis (that exists, upside-down).To learn more about transformations refer to:
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5x+2y=12. Convert from standard form to slope-intercept form
Answer:
y = [tex]\frac{-5}{2}[/tex] x + 6
Step-by-step explanation:
We want the form
y = mx + b
5x + 2y =12 Subtract 5x from both side of the equation
2y = -5x + 12 Divide all the way by 2
y = [tex]\frac{-5}{2}[/tex] x + 6
x+3/5 + x-2/5
as a single fraction
Answer:
x+3/5 + x-2/5
simply add variable
x+x +3/5-2/5
2x+3/5-2/5
taking L.C.M
5*2x+3-2/5
10x+1/5
Use the diagram and the given angle measure to find the other three measures
If angle ∠4 = 29 degrees, then
m∠1 = 151 degreesm∠2 = 29 degreesm∠3 = 151 degreesThe m∠4 = 29 degrees
Part 1
The angles on a straight line add up to 180 degrees.
∠4 + ∠1 = 180
29 + ∠1 = 1180
∠1 = 180-29
= 151 degrees
Part 2
The angles on a straight line add up to 180 degrees.
∠1 + ∠2 = 180
151 + ∠2 = 180
∠2 = 180-151
= 29 degrees
Part 3
The angles on a straight line add up to 180 degrees.
∠2 + ∠3 = 180
29 + ∠3 = 180
∠3 = 180-29
= 151 degrees
Hence, If angle ∠4 = 29 degrees, then
m∠1 = 151 degreesm∠2 = 29 degreesm∠3 = 151 degreesLearn more about angle here
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Zachary purchased a computer for
$1800 on a payment plan. He plans to
pay $150 per month on his payment
plan. What is an equation that models
the balance y after x months?
Answer:
y= 1 800- 150x
Step-by-step explanation:
y= 1 800- 150x
if u answer this can u help me with the other questions ??
Answer:
B=2, C=3, D=4, E=5
PLEASE HELP RIGHT NOW, THIS IS SUPER URGENT
The graph shows the proportional relationship between the number of gems collected and the number of levels that have been completed in a video game.
Graph with x axis labeled game levels and y axis labeled gems collected. A line begins at 0 comma 0 and goes through points 6 comma 450 and 8 comma 600.
Determine the constant of proportionality for the relationship.
p equals 2 over 150
p = 0.0133
p = 75
p = 150
The constant of proportionality for the graph will be P=75. The correct option is C.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The proportionality of the constant determines the linear relation between two variables. as one increases the another also increases with the same factor.
To calculate the constant of proportionality for the given graph finds the slope of the graph with the points.
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 600 - 450 ) / ( 8 - 6 )
Slope = ( 150 / 2
Slope= 75
Therefore, the constant of proportionality for the graph will be P=75. The correct option is C.
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2000x2400 need the answer
Answer: 4,800,000
Step-by-step explanation: 2 times 24 is 48 then there is 3 zeros in 2000 and 2 zeros in 2400 so just add those on to the end of 48 and then you get your final answer of 4,800,000.
What value of b makes this equation true?:x2 + bx – 35 = (x + 5)(x - 7) a) 12 b) 2 c)-2 d)-12
Answer:
c) -2.
Step-by-step explanation:
(x + 5)(x - 7)
= x^2 - 7x + 5x - 35
= x^2 - 2x - 35
Compare with
x^2 + bx - 35
we see that b = -2.
HURRY WILL MARK BRIANLIEST Evaluate.
0.33÷0.9⋅20+6.4÷0.2
Enter your answer as a decimal in the box.
Answer:
39.3
but the 3 in the the tenths place is repeating
Step-by-step explanation:
Answer:
39.33...
Step-by-step explanation:
Using PEMDAS,
First, 0.33 / 0.9 = 0.366...
Second, 0.366... * 20 = 7.33...
Then, 6.4 / 0.2 = 32
Lastly, 7.33... + 32 = 39.33...