Answer:
14
Step-by-step explanation:
the absolute value function always gives a positive result , that is
| - a | = | a | = a
- (- ) = + given
| - 5 | - (- 9)
= 5 + 9
= 14
Answer:
14
Step-by-step explanation:
Be extremely careful with absolute values, parentheses, and subtraction.
[tex]\left|-5\right|-\left(-9\right)=\left|-5\right|+9\\\left|-5\right|+9\\\left|-5\right|=5\\5+9\\=14[/tex]
Are any of the subsets of the real number system (real numbers, whole numbers, integers, rational
numbers, or irrational numbers) are closed under multiplication? Which onest Explain why
The collection of all rational and irrational numbers, represented by the letter R, is known as a real number. A real number can therefore be either rational or irrational.
The set of natural numbers N = {1, 2, 3, 4, 5, . . .}
The set of integers Z = {. . ., –3, –2, –1, 0, 1, 2, 3, . . .}
The set of rational numbers Q = {x: x = a/b; a, b ∈ Z and b ≠ 0}
The set of irrational numbers, denoted by T, is composed of all other real numbers.
Thus, T = {x : x ∈ R and x ∉ Q}, i.e., all real numbers that are not rational.
Some of the irrational numbers include √2, √3, √5, and π, etc.
Some of the apparent relations among these subsets are:
N ⊂ Z ⊂ Q, Q ⊂ R, T ⊂ R, N ⊄ T.
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What is the area of this tile?
6 in.
8in.
Answer:that would be 24
Step-by-step explanation: A triangle is a three side shape so after you multiply 6 and 8 thats 48 but then you multiply by 1/2 which is the same as dividing by 2 so (48/2)=24 and thats your answer hope this helps
1. Simplify. Show all steps for full credit. Circle your final answer. (4 points).
(4+1)^3/ 2+4^2-13
Answer: 25
Step-by-step explanation:
(4+1)^3/ 2+4^2-13=
5^3/(2+16-13) =
125/(18-13)=
125/5=25
Which kind of symmetry does the letter D have?
Answer:
D has a horizontal symmetry.
What is the quotient of 7 over 8 divided by 2 over 5?
Answer: 6
Step-by-step explanation:
got it right
Write an expression that computes the difference of the variables ending_time and starting_time .
ending_time - starting_time is expression that computes the difference of the variables ending_time and starting_time.
What does a variable schedule mean?
There is an alternative to the standard 8-hour workday, five days a week work schedule: a variable work hours program. It is a program that provides staff members more freedom and control over their time, both at work and at home.What is an example of variable schedule?
A variable-ratio schedule is a partial reinforcement schedule used in operant conditioning when a response is reinforced after a variable number of responses. Using this plan, a constant, high rate of reaction is produced. Games of chance and lotteries are two excellent examples of rewards with variable-ratio schedules.An expression that computes the difference of the variables ending_time and starting_time = ending_time - starting_time
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M/n=y/x for m what is the answer
Answer:
M = n(y/x)
Step-by-step explanation:
M/n = y/x
Multiply both sides by N to cancel it out.
M = n(y/x)
Arc XY located on circle A has a length of 40 centimeters. The radius of the circle is 10 centimeters. What is the measure of the corresponding central angle for XY in radians?
The measure of the corresponding central angle for XY in radians is; 229.1°
What is the angle subtended by the arc?We know that an arc is a part of the entire perimeter of a circle.
Radian is defined as a unit of plane angular measurement that is equal to the angle subtended by the circle at the center by an arc that is of the length equal to the radius.
We also know that the circle as a whole contains 2π radians. Now, at first we are required to find the perimeter of the circle.
Perimeter of the circle is given by the formula 2πr.
Thus, perimeter of the circle = 2πr = 2π * 10 =20π = 62.851cm
Hence value of arc in radians = 40/62.851 * 2π = 0.636 x 2 π = 1.272π
Radian can be converted to degree by multiplying the radian measure by 180/π
Therefore, angle subtended by arc in degrees =1.272 π * 180 /π =229.1 °
Hence the angle subtended by arc is 229.1°
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please help! i can’t figure this out I’ve somebody help QUICKKKK !!!!
Answer: A
Step-by-step explanation:
HELP ME DO THESE PROBLEMS PLS THANK YOU
Answer:
6. 7
7. 32
8. -17
9. -24
10. 6 ft
Step-by-step explanation:
6: 2(3) +1
6+1=7
7: 16-4(-4)
16+16=32
8: 12(-2)+7
-24+7=-17
9: -9-3(5)
-9-15=-24
10: 24-3(6)
24-18=6
Simplify 150\sqrt{150}
150
The required solution of the given expression is 12.247.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.
Given:
The given expression is
[tex]\frac{150}{\sqrt{150} } \\[/tex]
Simply or simplification is reducing the expression/fraction/problem in a simpler form. A fraction is in simplest form if the top and bottom have no common factors other than 1.
The process of making something less complicated and therefore easier to do or understand, or the thing that results from this process.
According to given question we have
[tex]\frac{150}{\sqrt{150} } \\[/tex]
We know that the square root of 150 is 12.247.
By putting the value we have
150/12.247
= 12.247.
Therefore, the required solution of the given expression is 12.247.
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What is the gradient of a line perpendicular to a line with a gradient of 1/6 ?
Answer:
-6
Step-by-step explanation:
m1 × m2 = -1
(1/6) × m2 = -1
m2 = -6
(4)(4) -4(-5)(-1) who ever knows this thank you<3
The answer of [tex](4)(4) -4(-5)(-1)[/tex] is [tex]-4[/tex]
We are supposed to find the answer of [tex](4)(4) -4(-5)(-1)[/tex].
This question is a classic example of the BODMAS rule in mathematics.
According to this rule, first we solve the sum inside bracket (be it any operation like division, multiplication, addition or subtraction) then division operation if present in the question followed by multiplication then addition and followed by subtraction.
Here in the question given [tex](4)(4) -4(-5)(-1)[/tex], we use BODMAS to solve it.
Let x be the answer of the above question, Therefore
[tex]x=(4)(4) -4(-5)(-1) \\x=(4*4)-4(5)\\x=(16)-(20)\\x=(16-20)\\x=-4[/tex]
Therefore[tex](4)(4) -4(-5)(-1)[/tex] = -[tex]4[/tex]
BODMAS: The BODMAS rule follows the order of the BODMAS abbreviated for B – Brackets, O – Order of powers or roots, D – Division, M – Multiplication A – Addition, and S – Subtraction. The BODMAS rule states that mathematical expressions with more than one operators need to be solved from left to right in the order of BODMAS.Want to learn more about BODMAS? Click on the link given below.
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simplify so that your answer contains only positive exponents
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
First Question:
[tex]\text{Copy the equation}\\\hookrightarrow \frac{xy^4}{x^3y^2} \\\\\text{Exponents with common bases when dividing from each other}\\\hookrightarrow \text{the power of the denominator can be subtracted from the power of the numerator}\\ \text{ --- } \dfrac{xy^4}{x^3y^2} =\dfrac{x}{x^3}*\dfrac{y^4}{y^2}=x^{1-3}*y^{4-2}=x^{-2}*y^{2} =\dfrac{y^2}{x^2}[/tex]
Second Question:
[tex]\hookrightarrow\text{simply start from the most inner calculation before going out}[/tex]
[tex]\text{---}-(-x)^3= -1 *(-1 * x)^3=-1*(-1)^3*x^3=-1*-1*x^3=x^3[/tex]
Answer:
y² / x²x³Hope that helps!
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Which equation best represents the graph shown below? Explain in detail how you arrived at your answer by stating each of the mathematical transformations necessary and to produce the graph
Answer step by step
A. Y = (x - 2)^2 - 3
B. Y = (x + 2)^2 - 3
C. Y = - ( x - 2 )^2 - 3
D. Y = 1/2 ( x + 2)^2 - 3
The equation that best represents the parabola given in this problem is:
A. y = (x - 2)² - 3.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
For this problem, the vertex is at (2, -3), hence:
h = 2, k = -3.
And:
y = a(x - 2)² - 3.
When x = 0, y = 1, hence:
1 = 4a - 3
4a = 4
a = 1.
Hence the equation is given by:
A. y = (x - 2)² - 3.
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My number is less than 50. - it is a factor of 70. - it is a multiple of 5 and 7. what is minnu's number? a. 5 b. 35 c. 14 d. 70
Answer:
B) 35
Step-by-step explanation:
35 is less than 50 and it's a factor of 70, a multiple of 5 and 7 is 35 just by multiplying the numbers it will give you that answer.
A 7 cm string that is fastened at both sides is plucked. what is the wavelength of the n = 4 standing wave?
The wavelength of the n = 4 standing wave is 3.5cm.
Standing Waves:
A standing wave is a stationary wave, which means that the wave oscillates in time but the peak amplitude does not move in space. This can happen in a stationary medium from an interference due to two waves traveling in opposite directions. For a harmonic wave, the string's displacement in the y-direction from the x-position and time t can be calculated by using the expression
y(x ,t)=2Asin(2πxλ)cos(ωt)
where A is the maximum displacement in the y-direction, λ
is the wavelength, and ω is the angular frequency. Given a taut string of length L, and assuming the the driving force is at x=0, the boundary conditions are
y(0,t)=0y(L, t)=2Asin(2πLλ)cos(ωt)=0
Given the latter boundary condition, a standing wave occurs when sin(2πLλ)=0=sin(nπ). The condition for the standing wave is then of the form n=2Lλ.
The condition where the standing wave occurs is given by the expression n=4Lλ, where n is a positive integer value, L is the string length, and λ is the wavelength. We calculate the wavelength of an n=4 standing wave as follows:
λ=4Ln=4(7 cm) / 2
= 14 /2
= 3.5cm.
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whats the set of all prime numbers
Answer:
Step-by-step explanation:
prime numbers are numbers that are divisible by 1 and itself such as 2,3,5,7,11
there are also types of prime numbers which i recommend reading: https://en.wikipedia.org/wiki/Category:Classes_of_prime_numbers
Help me pls !! Show with work thankkkk u sooo much !!!!!! :)
a building in a city has a rectangular base. the length of the base measures 65ft less than three times the width. the perimeter of this base is 910ft. what are the dimensions of the base?
The dimension of the base of the rectangular building is 340 x 135ft.
Perimeter of Rectangle:
The definition of perimeter of the rectangle is the total length or distance of its boundary on all sides.
The general formula to calculate the Perimeter of a rectangle is,
P = 2(l + w)
Where,
l represents the length of the rectangle
w represents the width of the rectangle.
Given,
The building in a city has a rectangular base. the length of the base measures 65ft less than three times the width.
The perimeter of this base is 910ft.
Now, we need to find the dimensions of the rectangular base.
According to the given details, the values of
L = 3W - 65
W = W
P = 910
Apply the values on the formula, then we get,
=> 910 = 2 * (L + W)
=> 910/2 = (L + W)
=> 455 = L + W
Apply the value of L,
=> 475 = 3W - 65 + W
=> 475 + 65 = 4W
=> 540 = 4W
=> 540/4 = W
=> W = 135
Apply the value of W as 135, in order to get the value of L,
=> L = 3*135 - 65
=> L = 405
=> L = 340
Therefore, the dimension of the rectangular base is 340 x 135 ft.
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One bar of candy A and two bars of candy B have 768 calories. Two bars of candy A and one bar of candy B contain 783 calories. Find the caloric content of each candy bar.
Answer:
Bar A : 266 calories; Bar B : 251 calories
Step-by-step explanation:
Assume bar A's caloric content is "a" and bar B's caloric content is "b".
1. a + 2b = 768
2. 2a + b = 783
Add both equations together.
3. 3a + 3b = 1551
Divide both sides by 3.
4. a + b = 517
Subtract equation 4 from equation 1.
5. a + 2b - a - b = 768 - 517
Evaluate.
6. b = 251
Subtract b's value from equation 2.
7. 2a + b - b = 783 - 251
Evaluate.
8. 2a = 532
Divide both sides by 2.
9. a = 266
Evaluate the given function as required. (round your answer to two decimal places.) f(x) = x 6 x2 1 at x = 5 f(5) =
The value of the function for f(5) is 15,651.
The given function is [tex]f(x)=x^{6}+x^{2} +1[/tex].
We need to find the value of f(5).
What is the function?Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.
Now, put x=5 in the function [tex]f(x)=x^{6}+x^{2} +1[/tex] and simplify.
That is, f(5)=[tex]5^{6} +5^{2} +1[/tex]
=15,625+25+1
=15,651
Therefore, the value of the function for f(5) is 15,651.
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At the library, Newton borrows 8 books and Descartes borrows 4 books. 7 of their books are nonfiction. The rest are fiction. How many fiction books did they borrow together?
5
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
Total books borrowed = 8+4 = 12
No. of non - fiction books = 7
No. of fiction books = 12 -7
= 5
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How is adding and subtracting
decimals similar to and different from adding
and subtracting whole numbers?
Answer:
adding decimals is different then subtracting because adding would be bigger subtracting means smaller
Calculate the acceleration of a 40 kg crate of softball gear when pulled sideways with a net force of 200 n
Answer:
5 m/s²
Step-by-step explanation:
To find the acceleration we apply Newton's second law of motion
F = ma where F is the net force in Newtons, m the mass of the object (kg) and a the acceleration in meters/second² (m/s²)
Given
F = 200 N
m = 40 kg
we have 200 = 40a
So a = 200/40=5 m/s²
20% in fraction form
20/100
That is the answer if u want it simplified it is 1/5
Answer:
20/100 simplified is 1/5
Step-by-step explanation:
it is the fraction form
find the length of a diagonal of a rectangular room of length 5 m, width 3 m and height 2.5 m
Answer:
What you are looking for is the length of the 'solid diagonal'. First we need to find the length of the base diagonal. That can be done easily using Pythagorean theorem. 52+32−−−−−−√=6. Now this diagonal is a leg of the bigger right triangle whose hypotenuse is the required solid diagonal. You can see this from amd's picture. So apply Pythagorean theorem again. 62+(2.5)2−−−−−−−−−√=37.25−−−−√. You can work that out with a calculator.
In general for a cuboid with dimensions a, b and c(order doesn't matter), the solid diagonal is: a2+b2+c2−−−−−−−−−−√
Step-by-step explanation:
Answer:
√62+(2.5)2=√37.25.
Step-by-step explanation:
What you are looking for is the length of the 'solid diagonal'. First we need to find the length of the base diagonal. That can be done easily using Pythagorean theorem.  52+32=6" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;"> 52+32−−−−−−√=6 52+32=6. Now
find the product of 12 0.6 and 6 1/4
Answer:
17 because you have to sutract them
Step-by-step explanation:
Is the equation always, sometimes, or never true?
Answer:
never
Step-by-step explanation:
-1=0 is not possible
How much money did billy start with if he saves 19 dollars in 5 days?
