2 times 1 is 2 so the equation becomes x/2 and x is 10 so 10/2 is same as 10÷2 which is 5
Part B
A new machine with better technology produces 210 gel pens every fifteen minutes. What is the constant of proportionality in the relationship between the number of gel pens and the number of minutes
The constant of proportionality i
Proportionality constant of p is = 14 t
WHAT IS PROPORTIONALITY CONSTANT ?The constant proportional relationship between two variables. The proportionality constant, k, is defined as k = y/x. This is equivalent to the equation for the slope of a line through the origin, m = y/x. The value of m, which will be the same as the value of k, or the constant or proportionality, can be discovered using the equation for the slope of the line.
CALCULATIONy = kx
The rate k = 210 ÷ 15 = 14 gel pens per minute
"p" is number of pens, "t" is number of minutes
p = 14t
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What are the statements and reasons for this two-column proof. Given: ab= cd prove ac=bd.
Two column proof is a way to portray proofs in geometry.A two column proof always has two columns, one for statement and the other for reason.
The rules of a two column proof are, every statement should be numbered, every statement should have a reason. There is no order for the statements but it is better to maintain logocal order.Reasons for the statements are theories, previously proved theorems that justify the statement.
A,B,C,D are on a line and we have to prove that if AB=CD then AC=BD
Statements Reasons
1.A,B,C,D are collinear 1.given
2.AB=CD 2.given
3.BC=BC 3.reflexive
4.AB+BC=BC+CD 4.adding 2 and 3
5.AB+BC=AC and BC+CD=BD 5. Segment addition
6.AC=BD 6.Substitution
Thus it is proved by two column proof that if AB=BC then AC=BD
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For the given function and domain, draw the graph and identify the range using the same notation as the given domain.
Using it's concept, the range of the function f(x) = -x + 5 in the domain [-3,2] is [3,8], and the graph is given at the end of the answer.
What is the range of a function?The range of a function is the set that contains all possible output values of the function for a given domain(set of input values). In a graph, the range is given by the vertical axis, that is, by the values of y.
From the graph shown at the end of the answer, y assumes values between 3 and 8, hence the range is of [3,8].
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Please help!!! giving 100 points for correct answer
(algebra 2)
|-3d-6|+|-5-d^2| for d =-3
please give a step by step too
Answer:
17
Step-by-step explanation:
[tex]\sf |-3d-6|+|-5-d^2| \quad for\:\: d = -3[/tex]
Given expression:
[tex]\sf |-3d-6|+|-5-d^2|[/tex]
substitute d = -3
[tex]\sf |-3(-3)-6|+|-5-(-3)^2|[/tex]
simplify following inside parenthesis
[tex]\sf |9-6|+|-5-9|[/tex]
simplify by combining integers
[tex]\sf |3|+|-14|[/tex]
if |-a| or |a| then equals to a
[tex]\sf 3+14[/tex]
evaluate:
[tex]\sf 17[/tex]
Answer:
17
Step-by-step explanation:
Given expression:
[tex]|-3d-6|+|-5-d^2|[/tex]
To evaluate for d = -3, substitute d = -3 into the expression:
[tex]\implies |-3(-3)-6|+|-5-(-3)^2|[/tex]
[tex]\textsf{Apply exponent rule} \quad a\cdot a=a^2:[/tex]
[tex]\implies |(-3)^2-6|+|-5-(-3)^2|[/tex]
[tex]\textsf{Apply exponent rule} \quad (-a)^2=a^2:[/tex]
[tex]\implies |3^2-6|+|-5-3^2|[/tex]
[tex]\implies |9-6|+|-5-9|[/tex]
Subtract the numbers:
[tex]\implies |3|+|-14|[/tex]
[tex]\textsf{Apply absolute rule} \quad |a|=a, \quad a\geq 0[/tex]
[tex]\implies 3+|-14|[/tex]
[tex]\textsf{Apply absolute rule} \quad |-a|=a, \quad a > 0[/tex]
[tex]\implies 3+14[/tex]
Add the numbers:
[tex]\implies 17[/tex]
Find value of x.
3x + 6 - 6 = 248
Answer:
x=82.7
Step-by-step explanation:
3x+6-6=248
3x=248
x=82.7
Answer:
[tex]82.6[/tex]Step-by-step explanation:
Simplify both sides of the equation:3x + 6 − 6 = 248
3x + 6 + − 6 = 248
( 3x ) + ( 6 + − 6 ) = 248 (ℂ )
3x = 248
Divide both sides by 3:3x / 3 = 248 / 3
x = 248 / 3
x = 82.6
Graph the image of the
quadrilateral below using a scale
factor of & = 3/2.
The coordinates of the vertices of the image are Q'(x, y) = (- 1.5, 6), T'(x, y) = (0, - 3), R'(x, y) = (1.5, 3) and S'(x, y) = (3, - 3), respectively.
What is the image of a quadrilateral after applying a dilation factor?
A dilation is a kind of rigid transformation, that is, a transformation applied on geometric loci such that its Euclidean distance is conserved. According to the statement, we must the following dilation to generate the image:
P'(x, y) = (3 / 2) · P(x, y)
If we know that Q(x, y) = (- 1, 4), T(x, y) = (0, - 2), S(x, y) = (2, - 2) and R(x, y) = (1, 2), then the vertices of the images are:
Q'(x, y) = (3 / 2) · (- 1, 4)
Q'(x, y) = (- 1.5, 6)
T'(x, y) = (3 / 2) · (0, - 2)
T'(x, y) = (0, - 3)
R'(x, y) = (3 / 2) · (1, 2)
R'(x, y) = (1.5, 3)
S'(x, y) = (3 / 2) · (2, - 2)
S'(x, y) = (3, - 3)
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A rectangular carpet measures 10 m by 6m
Part of the carpet is covered by a square rug of length 2 m
2m
10m
Diagram not drawn accurately
6m
What fraction of the carpet is
covered by the rug?
Give your answer in its simplest form.
Optional working
Answer:
The fraction of the carpet covered by the rug will be 1/15.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L×W square units
A rectangular carpet estimates 10 m by 6m. Some portion of the rug is covered by a square rug of length 2 m.
The area of the carpet is given as,
A = 10 x 6
A = 60 square meters
The area of the rug is given as,
a = 2 x 2
a = 4 square meters
A fraction of the carpet is covered by the rug is given as,
⇒ 4 / 60
⇒ 1 / 15
A fraction of the carpet covered by the rug will be 1/15.
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The missing diagram is attached below.
What is the measure of angle ABE?
Please help!
Answer:
50 degrees
Step-by-step explanation:
The angle of ABE is opposite to angle CBD, which means that ABE = CBD
It is a math rule, all opposite angles are equal.
2(3x-2)-4x+1= 9 solve for x
Answer:x=6
Step-by-step explanation:
6x-4-4x+1=9
subtract 1 from both sides
6x-4-4x=8
add 4 to both sides
6x-4x=12
subtract 6x by 4x
2x=12
divide by 2 on both sides
x=6
A school had 300 students in 2013 and 450 students in 2015. What was the average rate of growth in student per year?
[tex]450 - 300 = 150 \\ 150 \div 2 = 75t \\ the \: average \: rate \: of \: growth \: per \: year \: is \: 75 \: student \: per \: year[/tex]
Which has the greater area, the space between the circle and the inside square or the space between the circle and the outside square. The length between one corner to the opposite corner of the inside square is equal to 10
Answer:The space between the circle and the outside circle
Step-by-step explanation:
The space between the circle and the outside circle
5. What is the missing side length, x, in this
right triangle?
16 yd
20 yd
A.
4 yards
B.
8 yards
C. 12 yards
D. 16 yards
X
5
Answer: 12
Step-by-step explanation: we know that a^2 + b^2 = c^2, pythagorean theorem. We're given a and c in this case, which are 16 and 20 respectively. so that means 16^2 + x^2 = 20^2. After evaluating the equation, we get 256+ x^2 =400. now subtract 256 from both sides and then we get x^2 = 144. take the square root of both sides and we end up with x = 12.
what the product of 6 and x
Answer:
6x
Step-by-step explanation:
Because, 6 multiplied by x, we know that if there is just an x, we add a 1, so it would be 1x. 1x multiplied by 6 is 6x.
Hope this helps you!
Answer:
6x
Step-by-step explanation:
The product means multiply
6*x
6x
Which fruit snack cost less per pound? How much less?
Each pound of brand B costs 0.33 dollars less than each pound of brand A.
Which fruit snack costs less per pound?
Here we need to find the cost per pound for both brands, to get that, we need to get the quotient between the costs and the number of pounds.
For brand A the cost is $37.80 and you get 35 pounds, then the cost per pound is:
A = $37.80/35 = $1.08
Then each pound for brand A costs 1.08 dollars.
Now let's do the same for brand B, the cost is $33.75, and you get 45 pounds, then the cost per pound is:
B = $33.75/45 = $0.75
Then each pound for brand B costs 0.75 dollars.
So brand B is cheaper, and the difference is:
1.08 dollars - 0.75 dollars = 0.33 dollars.
Each pound of brand B costs 0.33 dollars less than each pound of brand A.
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F (n) = 3n-1
(n) = n² - 2n-3.
д.с
Find F(g(9))
The function F(g(9))= 179
Given ,Function F (n) = 3n-1
g(n) = n² - 2n-3
g(9)= 9²-2(9)-3
= 81-18-3
g(9) = 60
F(g(9))=F(60)
= 3(60)-1
= 179
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.
In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain.
The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.
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The festival that the total attendance for 2014 will be twice the attendance in 2012. What is the projected attendance for 2014?
The projected attendance for 2014 in the form of linear equation is written as y = 2x.
What is linear equation in two variables?A linear equation in two variables is one that is written in the form ax + by + c = 0, where a, b, and c are real numbers as well as the coefficients of x and y, i.e. a and b, are not equal to zero.
For instance, 10x+4y = 3 and -x+5y = 2 are two-variable linear equations.The solution to such an equation is just a pair of values, one is for x and one for y, which also equalizes the 2 sides of an equation.Now, for the given question;
Let us consider that the total attendance in 2012 be 'x'.
And the total attendance in 2014 be 'y'.
Then, the total attendance for 2014 will be twice the attendance in 2012.
Thus,
y = 2x.
Therefore, the linear equation which shows the condition that the total attendance for 2014 will be twice the attendance in 2012 is y = 2x.
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Graph y = -1/-3 x + 4
Suppose a function has a local max of (-1, 3) what can you conclude if the function is even? what can you conclude if the function is odd?
Suppose your function is increasing from the interval [2,5] what can you conclude if the function is even? what can you conclude if it is odd?
Using the concept of even and odd functions, it is found that, considering the function has a local max at (-1,3):
If the function is even, it will have another local max at (1,3).If the function is odd, it will have a local min at (1,-3).For a function increasing on [2,5], we have that:
If the function is even, it will be decreasing on [-5,-2].If the function is odd, it will be increasing on [-5,-2].What are even and odd functions?In even functions, we have that f(x) = f(-x) for all values of x.In odd functions, we have that f(-x) = -f(x) for all values of x.If none of the above statements are true, the function is neither.Hence, considering the function has a local max at (-1,3):
If the function is even, it will have another local max at (1,3).If the function is odd, it will have a local min at (1,-3).For a function increasing on [2,5], we have that:
If the function is even, it will be decreasing on [-5,-2].If the function is odd, it will be increasing on [-5,-2].For even functions it will decrease because we have that f(4) > f(3), for example, hence f(-4) > f(-3).
For the odd function it will increase because if f(4) > f(3), then f(-3) > f(-4) due to the negative signal.
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This diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other.
A
M
B
b. Name a pair of line segments with the same length.
Here is a diagram of a straightedge and compass construction. c is the center of one circle, and b is the center of the other. Since both segments begin at point B, their lengths are equal.
Both segments begin at point B, their lengths are equal.
Since the radius of the smaller circle is the distance from its center (B) to its edge, length BD equals length AB.
Using the attached diagram
The larger circle's center is at C, while
Point B is the location of the smaller circle's center.
The smaller circle passes through the larger circle, dividing it into two segments, BD and AB, which extend from the smaller circle's center to their intersecting edges.
As a result, since both segments begin at point B, their lengths are equal.
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What is the image point of (9, -2) after a translation right 1 unit and down 1 unit
Answer:
( 10 , -3 )
Step-by-step explanation:
→ See which coordinate is affected by a translation right
x
→ Apply
( 10 , y )
→ See which coordinate is affected by a translation down
y
→ Apply
( 10 , -3 )
7. One hundred three and one half gallons drained in the last 9 minutes from a pool. The water drains at a constant rate. How many gallons drain per minute from the pool?
The Number of Gallons drained per minute from the pool is; 931.5 gallons drained per minute
What is the constant rate?Constant rate is simply a rate that remains unchanged regardless of change in parameters.
Now, we are told that One hundred three and one half gallons drained in the last 9 minutes from a pool. Thus;
Amount of gallons that drained from pool = 103¹/₂ gallons = 207/2 gallons
Time it took to drain = 9 minutes
Thus;
Number of Gallons drained per minute from the pool = (207/2)/9
Number of Gallons drained per minute from the pool = (207 * 9)/2
Number of Gallons drained per minute from the pool = 931.5 gallons drained per minute
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Consider the data set
5 2 2 4 9 2 3 1
Find the average (mean):
Find the median:
Answer:
Step-by-step explanation:
4+2=6
6/2=3
Solve for g.
g=
G|N
7
+-70
Answer:
g=−28
Step-by-step explanation:
-74 = g/7 + -70
Let's solve your equation step-by-step.
−74=g/7−70
Step 1: Simplify both sides of the equation.
−74=g/7−70
−74=1/7g+−70
−74=1/7g−70
Step 2: Flip the equation.
1/7g−70=−74
Step 3: Add 70 to both sides.
1/7g−70+70=−74+70
1/7g=−4
Step 4: Multiply both sides by 7.
7*(1/7g)=(7)*(−4)
g=−28
Suppose that the function fis defined, for all real numbers, as follows.
f(x) =
x-4 if x < 2
-2x+2 if x ≥2
Graph the function f. Then determine whether or not the function is continuous.
See attachment for the graph and the function is a continuous function.
How to graph the function?The function definition is given as:
f(x) = [ x-4 if x < 2
[-2x+2 if x ≥2
The above function is a piecewise function.
So, we plot each function by its domain
Having said that, the next step is to plot the graph of the functions in f(x) according to their domain
See attachment for the graph
Also, the function is a continuous function.
This is so because there is no break in the function value i.e. domain and range are the set of all real values
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carol decides to send out a survey to see what her coworkers think of the new dress code policy. if she chooses a sample of the population that gives each person an equal chance of participating, this would be a(n) sample.
This is the random sampling is used in the statement.
According to the statement
We have to find that the about the sampling.
So, For this purpose, we know that the
A sample is an outcome of a random experiment. once we sample a chance variable, we obtain one specific value out of the set of its possible values. that exact value is termed a sample.
From the given information:
if she chooses a sample of the population that offers everyone an equal chance of participating, this might be a(n) sample.
Then
According to this, there is random sampling is used.
Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen.
So, This is the random sampling is used in the statement.
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solve for x
3/9 = x/12
Simplify your answer as much as possible.
Answer:
Step-by-step explanation: We can begin by rewriting the equation. That would look like so:
3/9 = x/12
We need to solve for x. Our first step is to identify a common denominator. Let's list the multiples of each denominator.
9: 9, 18, 27, 36
12: 12, 24, 36
Our common denominator is 36.
Now, let's cross multiply:
3 x 12 = 36
9 x ? = 36
36 ÷ 9 = 4
x = 4
Final answer: 3/9 = 4/12, where x = 4.
cuanto es [tex]\sqrt \sqrt{3\sqrt{45^{3} } }[/tex]
can someone help me please
Answer:
-175
Step-by-step explanation:
thats the answer to the question
convert 15 feet per second into yards per hour using unit cancellation
Answer:
626 times 6261 plus 276262
Step-by-step explanation:
i buy 626 cookies and 1000 million water how much did i eat and drink?
What is 8.456 as a fraction
Answer:
8456/1000 Is the fraction of 8.456
Answer:
1057/125
Just write the number in a calculator and press equal. It'll give you the number in fraction