See steps below for proving n = 2m:
Step-by-step explanation:An equation is formed of two equal expressions. n=2m can be proved by solving the two of the given equation for h and then equating them together as shown below.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign ''=''.
Given the two equations, 2n=m+h, and h=n+m. Now, solve the two of the equations for h as shown below:
Equation 1.
2n = m + h
2n - m = h
h = 2n - m
Equation 2.
h = n + m
Further, equate the value of h from both the equation,
h = h
2n - m = n + m
Bring the like terms on the same side of the equation,
2n - n = m + m
n = 2m
Hence, proved n=2m.
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
PLEASE HELP!!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
x² + 6x - 7 = 0 ( add 7 to both sides )
x² + 6x = 7
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 7 + 9
(x + 3)² = 16
HELP PLEASE
Researchers are conducting clinical trials for a new medication to treat people suffering from asthma, a respiratory disease.
They selected 100 asthma patients from a national hospitals database in these age groups: under 15 years, 15 to 60 years,
and over 60 years. In each group, half the subjects received the new medication, and the other half received a placebo. The
subjects were not informed whether they received the medication or the placebo.
Which statements about this study are true?
Answer:
1. This study uses blocking to reduce variability from known factors.
2. This study uses random sampling.
Step-by-step explanation:
Hope it helps!
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The roster form of the set P is; {-2, -1, 0, 1}
The builder notation of the set P is; {x : x ∈ I, −2 < x ≤ 1}
How to write set builder notations?We are told that P is the set of integers that are greater than -3 and less than or equal to 1.
Roster form of sets is done by listing the elements of the set, separated by commas, inside a set of curly brackets.
Since P is the set of integers that are greater than -3 and less than or equal to 1, then the possible numbers are; (-2, -1, 0, 1)
The roster form is; {-2, -1, 0, 1}
The builder notation of this set is;
{x : x ∈ I, −2 < x ≤ 1}
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−5 5 6 x1 1 2=? Type an integer, proper fraction, or mixed number.
Multiplying Rational Numbers Problem Solving
Answer:
-62272
Step-by-step explanation:
Multiplication on a piece of paper also a positive multiplied by a negative is negative so -556 * 112 = -66272.
The radius of a circle is increasing at a constant rate of 7 centimeters per minute. At the instant when the radius of the circle is 88 centimeters, what is the rate of change of the area? Round your answer to three decimal places.
The rate of change of the area is 3868.48 cm2/min
What in math is a rate?
A rate is a unique ratio where the two words are expressed in several units. For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. This ratio compares two dissimilar units: ounces and cents
A = A(r) (r)
r = r(t) (t)
A = A(r(t))
The chain rule can be used to resolve this kind of issue.
Rate of area change:
(dA/dr)(dr/dt) = dA/dt
A=r2 dA/dr = 2r
dr/dt [given] = 7 cm/min
(2r)(7 cm/min) = (dA/dt)
If r = 88 cm,
dA/dt = 2π (88 cm) (7 cm/min) ≅ 3868.48 cm2/min
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Who said that "his life was
worth no more than other, and
his liberty as dear to him"
which gave Nat confidence in
his determination to help?
A. Sam
B. Will
C. Henry
D. Hark
Answer: Sam
Step-by-step explanation: I am pretty sure. Hope you find it helpful!
Patrick walk 9/10 to the gym. How far ha he walked when he ha covered 2/3 of the ditance to the gym
In linear equation, The number of miles that he walked when he was covered and 2/3 of the distance to the gym will be 7/30 miles.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Patrick walks 9/10 miles to the gym.
Then the number of miles that he walked when he was covered 2/3 of the distance to the gym will be
⇒ 9 / 10 - 2 / 3
⇒ (27 - 20) / 30
⇒ 7 / 30
The number of miles that he walked when he was covered and 2/3 of the distance to the gym will be 7/30 miles.
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Input (a): a number
Output (y): 8 less than 3 times x
The output will be if Input (x) = a number is y = 3x - 8, so option D is correct.
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
Input (x) = a number,
Output (y) = 8 less than 3 times x.
Assume a number x which is an input,
3 times of x = 3x,
8 less than 3 times of x = 3x - 8
Therefore, the output will be if Input (x) = a number is y = 3x - 8.
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Answer:
Hope this help :)
Step-by-step explanation:
solve this please......
Why do you divide to find unit rate?
(2/5)x2x100 divided by 2/3 +(2x4 divide by (13-5)
Answer: The answer is 121
Which number corresponds to the number in scientific notation? 3. 21 × 104 kg = kg 2. 0 × 10-5 l = l
Number is the equivalent of the one written in scientific notation is
3. 21 × 104 kg = kg 2. 0 × 10-5 l = l
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.
Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 108 in scientific notation.
we have the number,
[tex]$0.000013$we know that$0.000013=\frac{13}{1000,000}=\frac{13}{10^6}=13 * 10^{-6}=1.3 * 10^{-5}$[/tex]
[tex]thereforethe answer is$1.3 * 10^{-5}$[/tex]
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.
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When solving a system of linear equations by substitution, how do you decide which variable to solve for in step 1?.
When solving a system of linear equations by substitution, normally, we want to try to solve for the easiest one to get to or we choose a variable with unit coefficient.
What you mean by a variable?A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.
What a coefficient means?A constant component of a word as opposed to a variable. a measurement of some property or characteristic using a number (as of a substance, device, or process)
There are many factors, it is all a matter of preference, normally, we want to try to solve for the easiest one to get to
example;
if we have
(x-3)^2+y=9
we would solve for y because it is less tricky or we choose a variable with unit coefficient.
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Folgers coffee is priced at 12.88$ for 80 cups of coffee, and Seattle's best is priced at 9.00$ for 50 cups. Which brand of coffee is the better value for each cup
If x = 5, find the value of
a) x2
b) (x + 3)2
Answer:
25
64
Step-by-step explanation:
x^2
5^2
25
(X+3)^2
(5+3)^2
8^2
64
Hopes this helps please mark brainliest
Answer:
a) x = 25
b) 16
Step-by-step explanation:
a) x^2 = 5^2 = 25
b) (x + 3)2 = (5 + 3)2= (8)2 = 16
A tate government borrow $2,000,000 at imple annual interet. Some of the money i borrowed at 6%, ome at 7. 5%, and ome at 8. 5%. Ue a ytem of linear equation to determine how much (in dollar) i borrowed at each rate given that the total annual interet i $137,000 and the amount borrowed at 7. 5% i four time the amount borrowed at 8. 5%. Solve the ytem of linear equation uing matrice
By solving the linear matrices we got the values X = 1000000 , Y = 800000 , Z = 200000
What is an equation ?According to algebra, an equation is a statement that shows the equality of two mathematical expressions. For instance, the equation 4x + 5 = 15 consists of the two equations 4x + 5 and 15, which are separated by the 'equal' sign.
According to the given information
X + Y + Z = 2000000
0.07X + 0.085Y + 0.095Z = 157000
Y = 4Z
Y = 4Z is substituted into the first and second equations as follows:
X + 5Z = 2000000
0.07X + 0.085 (4Z) + 0.095Z = 157000
X = 2000000 - 5Z
0.07X + 0.435Z = 157000
0.07 (2000000 - 5Z) + 0.435Z = 157000
140000 - 0.35Z + 0.435Z = 157000
0.085Z + 140000 = 157000
0.085Z = 17000
Z = 200000
Y = 800000
X = 1000000
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list five requirements that a person should know about their pet before owning one
The five requirements that a person should know about their pet before owning one are shown below.
What is pet?An animal that you keep as a pet in your home is for your entertainment and company.
There are 5 requirements that a person should know about their pet before owning one.
Freedom from thirst and hunger All canines and felines have to have quick access to food and clean water.
Liberation from discomfort.
Freedom from discomfort, harm, or illness.
Having the ability to act normally.
Freedom from anxiety and pain.
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A publisher used 10 boxes to send 375 books to a local book retailer. The
small boxes hold 30 books and each large box holds 55 books. Determine
the number of small and the number of large boxes used.
Answer: Number of small boxes = 7, Number of large boxes =3
Step-by-step explanation:
Let x= Number of small boxes , y = Number of large boxes.
As per given , 30x+55y=375 (i)
x+y=10 (ii)
Multiply (ii) by 30, we get
30x+30y=300 (iii)
Eliminate (iii) from (i), we get
25y=75
⇒ y= 3 [Divide both sides by 25]
Put y=3 in (ii), we get
x+3=10 ⇒ x=7
Hence, Number of small boxes = 7, Number of large boxes =3
Hope this helps!!! :)
A number plus1/5 of the number can be expressed as
A number plus1/5 of the number can be expressed as n + 1/5n .
What is number ?A number is defined as it is an arithmetic value which is used to represent the given quantity or in making calculations. Hence, a number is a mathematical concept which is used to count, measure, and label it . Thus, we can say that numbers form the basis of mathematics.
n = number
A number in which we plus 1/5 of the number then it can be expressed as;
1 + 1/5 n
6/5 + n
n + 1/5 n
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Match the equation to its description:
y=2x+3
2y=-3x-4
x--10
y-8
3y-2x+12
The equation of line is given below:
a) m = 2 , b = -3
b) m = -3/2 , b = -2
c) m = not defined , b = none
d) m = 0 , b = -8
e) m = [tex]\frac{2}{3}[/tex] , b = -4
What do you mean by equation of line?
A line equation is an algebraic representation of a set of points that together form a line in a coordinate system. A number of points that together form a line of axes, represented as a set of variables x,y, form an algebraic equation called the line equation.
Slope intercept form of the line is y = mx - b where m is the slope of the line and b is the x-intercept
a) y = 2x + 3
On comparing the equation with y = mx - b, we get m = 2 , b = -3
b) 2y = -3x -4
⇒ y = ( -3x -4 )/2
⇒ y = [tex]\frac{-3x}{2}[/tex] - 2
On comparing the equation with y = mx - b, we get m = -3/2 , b = -2
c) x = -10
⇒ x + 10 = 0
On comparing the equation with y = mx - b, we get m = not defined , b = none
d) y= 8
On comparing the equation with y = mx - b, we get m = 0 , b = -8
e) 3y = 2x + 12
⇒ y = (2x + 12)/3
⇒ y = [tex]\frac{2x}{3}[/tex] + 4
On comparing the equation with y = mx - b, we get m = [tex]\frac{2}{3}[/tex] , b = -4
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Which equation choice could represent the graph shown below?
The function representing the graph is f(x) = (x + 5)²(x - 3)². The correct option is (a).
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.
The given graph of the function cuts x axis at (-5,0) and (3,0) and y axis at (0,225) respectively.
Since the zeros of a function is the point at which it cuts the x-axis, the zeros at of the given functions are -5 and 3.
Which implies that the factors are (x + 5) and (x - 3) respectively.
The given factors are valid for options (a) and (d).
Now, at x = 0 f(x) should be 225.
It can be checked for both the options as follows,
(a) f(x) = (x + 5)²(x - 3)²
=> f(0) = (0 + 5)²(0 - 3)²
= 5² × -3²
= 225
Hence, the function that represents the given graph is f(x) = (x + 5)²(x - 3)².
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Please help!!! For what value of why must LMNP be a parallelogram?
Answer:
107 degrees
Step-by-step explanation:
The four angles of a parallelogram add up to 360 degrees. Any two adjacent angles of a parallelogram add up to 180 degrees. So y is equal to 180 degrees minus 73 degrees, which is equal to 107 degrees.
simplify the expression and find domain that will make it equivalent to previous expression.
[tex]\frac{1}{a^{2}+ab } +\frac{1}{ab+b^{2} }[/tex]
Step-by-step explanation:
The answer is
[tex] \frac{1}{ab} [/tex]
because
[tex] \frac{1}{a(a + b)} + \frac{1}{b(a + b)} = \frac{1}{ab} [/tex]
Thank yuo give brainlist
15% of $28 =
20% of $74 =
18% of $128 =
The value of the given expression is 15% of $28 = (15×28)/100 = $4.2, 20% of $74 = (20×74)/100 = $14.8, 18% of $128 = (18×128)/100 = $23.04
What is an expression?
An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
Here, we have
Given the following expression and we have to find the values of given expressions.
15% of $28 = (15×28)/100 = $4.2
20% of $74 = (20×74)/100 = $14.8
18% of $128 = (18×128)/100 = $23.04
Hence, the value of the given expression is 15% of $28 = (15×28)/100 = $4.2, 20% of $74 = (20×74)/100 = $14.8, 18% of $128 = (18×128)/100 = $23.04
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I'LL GIVE BRAINLIEST!! ANSWER THE QUESTION!!!
Part a
This represents a translation of 2 units to the right. So, the points are [tex](6, -3), (0,0), (8, -15)[/tex].
Part b
This represents a translation of 9 units up. So, the points are [tex](4,6), (-2,9), (-10,-6)[/tex].
Part c
This represents a translation of 3 units left and 1 unit down. So, the points are [tex](1, -4), (-5, -1), (-13, -16)[/tex].
Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the strength relates to the length. The data are represented by the exponential function f(x) = 2x, where x is the length. Explain how he can convert this equation to a logarithmic function when strength is 8 Pascals.
x = ㏑₂8 in the logarithmic function.
What is a logarithmic function?A logarithmic function is the inverse of an exponential function.
Given function if f(x) = [tex]2^{x}[/tex],
When strength is equal to 8 pascals, f(x) = 8
Therefore, 8 = [tex]2^{x}[/tex]
Taking log on both sides:
ln8 = ln[tex]2^{x}[/tex]
ln8 = xln2
or x = ln8/ln2
x = ㏑₂8
Hence, the required function is x = ㏑₂8.
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what is
2/4 + 2/4 - 4/7
Answer: 3/7
Step-by-step explanation:
1. We know that 2/4 + 2/4 is 1.
2. 1 can also be expressed as 7/7, because its easier to subtract 7/7 and 4/7 because they have the same denominator
3. 7/7-4/7=3/7
Answer:
3/7
Step-by-step explanation:
4d +7e =68
-4d-6e = -72
Answer:
d=24
Step-by-step explanation:
In right triangle ABC, point D is on side BC, as shown. If BC= 5 x BD and the area of Triangle ABD is 8 in2, what is the area of Triangle ABC?
Answer: 40 in2
Step-by-step explanation:
Area of a triangle = 1/2 (base)(height)
Side AB is common to both triangles
BC = 5(BD)
Area ABD = 8, therefore Area ABC = 5(8) = 40
What is the domain of this relation? (0, 2) (1,9) (-9, 6) (-4, 7)?
Answer: 5 trust me
Step-by-step explanation: trust me