The transformation of the graph of f to the graph of g is that the graph is translated down 135 units.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given two functions are
f(x) = 12x – 1,400 and
g(x) = 12x – 1,535
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
We need to find the transformation of the graph of f to the graph of g.
The graph is translates down 135 units, because the y-intercept decreased by 135 units from f(x) to g(x).
Hence, the transformation of the graph of f to the graph of g is that the graph is translated down 135 units.
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what fraction of a semicircle is an angle that measures 11pi/18 radians? express your answer as a fraction in simplest terms
Check the picture below.
let's recall that, the arc made from 0 to π is just half a circle or namely a semi-circle, so any fraction of π refers to that arc
\(\cfrac{11\pi }{18}\qquad \textit{really means}\qquad \cfrac{11}{18}\qquad \textit{of that semi-circle}\)
The sun is about 93 x 10 6 miles from earth. What’s is this distance written as a whole number
This distance would be written as a whole number as 93,000,000.
so easy
What is the common difference in the following arithmetic sequence? 2/3,1/6,-1/3,-5/6,...
A -4
B-1/2
C1/9
D4
Answer:
B.- \(\frac{1}{2}\)
Step-by-step explanation:
The common difference is the difference between the numbers in your arithmetic sequence. In this case, we see that the numbers are getting smaller, so we can start by setting up this equation:
\(\frac{2}{3} - \frac{1}{6}\)
Because these fractions don't have a common denominator, you make them equal by changing the fractions to have a common denominator. The LCM is 6, so we multiply the first fraction by 2/2:
\(\frac{4}{6} - \frac{1}{6} = \frac{3}{6}\)
3/6 can be simplified to be 1/2, and we know we're subtracting, so the answer is b.
Answer:
B
Step-by-step explanation:
(B) An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is normal with μ (mean) = 15.5 and σ (standard deviation) = 3.6. What is the probability that during a given week the airline will lose between 11 and 19 suitcases?
Answer:
The correct answer is "0.7289".
Step-by-step explanation:
The given values are:
Mean,
\(\mu = 15.5\)
Standard deviation,
\(\sigma = 3.6\)
As we know,
⇒ \(z = \frac{(x - \mu)}{\sigma}\)
The probability will be:
⇒ \(P(11< x< 19) = P(\frac{11-15.5}{3.6} <z<\frac{19-15.5}{3.6})\)
\(=P(z< 0.9722)-P(z< -1.25)\)
By using the z table, we get
\(=0.8345-0.1056\)
\(=0.7289\)
a punch bowl has a capacity of 8 quarts. a recipe fills the bowl 3/4 full.how many quarts does the recipe make
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
An unitary method is what?This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.
Here,
The quantity of punch produced by the recipe is:
If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.
=> 6 pints = 8 * 3/4.
The formula yields 6 quarts of punch as a result.
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
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What is the range of the function shown on the graph
Answer:
-2<=y<=-7
Step-by-step explanation:
This table shows the ratio of the number of red beans to the total number of beans.
A 2-column table has 2 rows. Column 1 is labeled Total with entries 30, and 15. Column 2 is labeled Red with entries 20, and 10.
Which ratios are equivalent to 30:20? Check all that apply.
40:30
10:0
3:2
the answer is C and D
The ratio which is equivalent to 30:20 is option C, 3:2.
How to obtain real measurements from the ratio of two measurements?Suppose the real measurements were "a" and "b"
Then their ratio will be formed as
\(\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}\)
where is a common factor (not 1)? This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly canceled from both the numerator and the denominator.
Thus, a = px, b = qx
We have given that a 2-column table has 2 rows. Column 1 is labeled
The Total with entries 30, and 15. Column 2 is labeled Red with entries 20, and 10.
Given ratio is 30:20
Or
3:2
Therefore, we can conclude that the ratio which is equivalent to 30:20 is option C, 3:2.
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only people who know the answer
Jose wants to put a fence around his rectangular garden. His garden measures 33 feet by 39 feet. The garde has a path around it that is 3 feet wide. How much fencing material does Jose need to enclose the garden path?
Answer:
156ft of material.
Step-by-step explanation:
Since the garden path borders the garden and is 3 feet wide, it increases the side lengths of his garden by 3 feet on each side. Then we just find the perimeter using the new values:
\(P=36+36+42+42=156\)
If this helped, a brainliest answer would be greatly appreciated!
Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options.
which set of ordered pairs does not represent a function {(−5,−7),(−1,4),(−3,4),(5,2)};{(−8,−7),(4,7),(4,−9),(5,−6)};{(−5,−7),(−6,7),(−1,−9),(9,7)};{(4,5),(1,5),(3,−7),(7,6)}
The set of ordered pairs that does not represent a function is
{(−8, −7),(4, 7),(4, −9),(5, −6)}
What is a Function:A function is a set of ordered pairs where each input has only one corresponding output. If there exists an input that has multiple outputs, then the set does not represent a function.
To determine whether a set of ordered pairs represents a function or not, check if there are any repeated inputs with different outputs.
If there are, then the set does not represent a function. If every input has a unique output, then the set represents a function.
Here we have
The sets of ordered pairs are
{(−5,−7),(−1,4),(−3,4),(5,2)};
{(−8,−7),(4,7),(4,−9),(5,−6)};
{(−5,−7),(−6,7),(−1,−9),(9,7)};
{(4,5),(1,5),(3,−7),(7,6)}
To check whether a set of ordered pairs represents a function,
Make sure that for each unique input, there is only one corresponding output
This can be done as follows
{(−5, −7),(−1, 4),(−3, 4),(5, 2)},
Here the input -5 is paired with -7 and the input -3 is also paired with 4, which means there are different outputs for different inputs.
Hence, This set will represent a function.
{(−8, −7),(4, 7),(4, −9),(5, −6)}:
This set does not represent a function because for input 4 we have two outputs both 7 and -9.
{(−5, −7),(−6, 7),(−1, −9),(9, 7)}:
This set represents a function because there is only one output for each input.
{(4, 5),(1, 5),(3, −7),(7, 6)}:
This set represents a function as each input has a unique output.
Therefore,
The set of ordered pairs that does not represent a function is
{(−8, −7),(4, 7),(4, −9),(5, −6)}
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PLEASE HELP! ITS DUE SOON AND I LOST MY CALULATER I HAVE 7 QUESTIONS I NEED HELP WITH!!!!! WILL ONLY LET ME UPLOAD 5! BUT ILL ADD THAT IN AN OTHER QUESTIO I HAVE 35 MINTUTES LEFT TO GET THIS DONE! PLEASE HELP!! WILL GET 100 POINTS! MANY THANKS!!!!
Answer:
Step-by-step explanation:
d
c
a
b i think
a
work for question #4:
Side a = 30.27382
Side b = 30
Side c = 27.83241
Angle ∠A = 63° = 1.09956 rad = 7/20π
Angle ∠B = 62° = 1.0821 rad
Angle ∠C = 55° = 0.95993 rad
Help me with my math hw please
(10 points)
Answer:
1, 3, 5 are true
Step-by-step explanation:
1. 2+5 = 19-12 is true because 7=7
2. This is false because after simplifying, you would get 1 = 0 which is false.
3. After simplifying, you would get -5 = -5 which is true. So, this equation is true.
4. After simplifying, you would get 2x+16 = 2x-8. This is false.
5. After simplifying, you would get -2x+10 = -2x+10. This equation is true.
So, only the first, third, and last equations are true.
Find the Surface Area of the following figure. 9.5 m 16m 14m 12.7m 11m
The total surface area of the figure will be 1968.85 square meters.
To determine the surface area of the figure, we need to find the area of each face and then add them together.
Surface Area of the rectangular prism = 2(lb + bh + hl)
= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)
= 2(152 + 133 + 224) = 2(509)
= 1018 m²
Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:
Surface Area of the triangular prism;
= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)
= (154 + 350.35 + 445.5)
= 950.85 m²
Therefore, the total surface area of the figure will be;
Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism
= 1018 m² + 950.85 m²
= 1968.85 m²
So, the surface area of the figure is 1968.85 square meters.
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In the equation x/6 = 9 what operation do you need to use to get the
variable x by itself?
Answer:
Multiplication
Step-by-step explanation:
To get X alone, you multiply by 6 to each side so that the left side cancels out, getting the variable by itself.
The final equation would be X=54.
Answer:
Multiplication
Step-by-step explanation:
You can see there is a division with the 6, and to get rid of 6, you need to multiply it :)
What’s the units?? Plz need help
Answer: 4 units
Step-by-step explanation:
Amy is a years old.
Zack is 7 years older than Amy.
Using a, write an expression for Zack's age.
Answer:
x + 7
Step-by-step explanation:
amy is unknown x + 7 equals zack
how many solutions does the eqaution below have? 4x-3-2x+5=6-3x+2+5x
Answer:
4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x
2x + 2 = 2x + 8
2 ≠ 8, so this equation has no solutions.
Answer:
No solution
Step-by-step explanation:
Given:
\(4x-3-2x+5=6-3x+2+5x\)
rearrange terms so like terms are together
\(4x-2x-3+5=6+2-3x+5x\)
combine like terms
\(2x+2=8+2x\)
subtract 2x to both sides
\(2\neq 8\)
2 doesn't equal 8, meaning that there are 0 solutions to this problem.
Hope this helps! :)
I am stuck please help with this graph.
An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.
How to interpret and determine the equation of g(x)?By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;
f(x) = |x|
y = A|x + B| + C
g(x) = -1/4|x + 1| - 2
In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.
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in how many ways can a family of four be seated at a round table if two brothers must sit together a)1 b)8 c)2 d)4
Answer:
8
Step-by-step explanation:
i think this is right if not it would be 2
11. If AB LCD, mZDCE = (7x + 2) and mZECB= (x + 8), find the measure of ZDCE.
AC B.
Since AB is parallel to CD, we have alternate interior angles forming when transversal CE intersects the parallel lines. Therefore,
mZDCE = mZECB (Alternate Interior Angles)
(7x + 2) = (x + 8) (Substitute in the given angle measures)
Solving for x, we get:
7x + 2 = x + 8
6x = 6
x = 1
Now, we can use x to find the measure of angle ZDCE:
mZDCE = (7x + 2)
= (7*1 + 2)
= 9
Therefore, the measure of angle ZDCE is 9 degrees.
find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
Which of the following questions is a statistical question?
How many sticks of gum can you chew at one time?
Where can gum be purchased?
How many types of gum are there?
How many sticks of gum come in a standard pack?
"How many sticks of gum can you eat at one time?" is the finest and most right response. Then the correct option is A.
What are statistical questions?A statistical question is one that may be addressed by gathering data from several sources.
A statistical question is one that may be addressed by gathering data and in which the data is likely to vary. This is not the same as a question with a predetermined response.
The first choice or letter A, "How many sticks of gum can you eat at one time?" is the finest and most right response among the options supplied by your query.
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Which choice shows the coordinates of B’ if the trapezoid is reflected across the x-axis?
A,(-7,2)
B,(2,-7)
C,(7,-2)
C,(-2,7)
Answer:
The answer is C
Step-by-step explanation:
Edgy 2021 Unit Test
The measures of the angle of a triangle are shown on the figure below. Solve for X.
Internal angles sum: 180(sides-2) = 180
5x = 180 - (48 + 90 + 17)
x = 25/5
x = 5
answer: 5
proof:
(90 + 48) + (5(5)+17) = 180
Answer:
x=5
Step-by-step explanation:
We know that a triangle consists of 180°. So to start, you take the two given angles and add them together. 48+90=138.
Now you subtract the 138 from the total of 180 to get the degrees of the remaining angle. 180-138=42°.
Now set the unknown angle equal to 42. (5x+17) = 42
Subtract 17from both sides to get 5x=25
Divide 5 from both sides to get x=5
The infant mortality rate (per 1,000 live births) for the 50 states and the District of Columbia has a mean of 6.98 and a standard deviation of 1.62. Assuming that the distribution is normal, what percentage of states have an infant mortality rate between 5.36 and 8.60 percent (per 1,000 live births)?
68% of states have an infant mortality rate between 5.36 and 8.60 percent.
What is the Empirical Rule?In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively.
In this problem, we have that:
Mean = 6.98Standard deviation = 1.62Assuming that the distribution is normal, what percentage of states have an infant mortality rate between 5.36 and 8.60 percent (per 1,000 live births)?
\(\sf 5.36 = 6.98 - 1\times1.62\)
So, 5.36 is one standard deviation below the mean.
\(\sf 8.60 = 6.98 + 1\times1.62\)
So 8.60 is one standard deviation above the mean.
Therefore, by the Empirical Rule, 68% of states have an infant mortality rate between 5.36 and 8.60 percent.
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Austin needs to buy a new lawnmower for $320 . this week they are discounted by 20% . what is the sale price ?
Answer:
Step-by-step explanation:
Describe another way you could have solved the equation. Tell which of these two ways of solving the equation you prefer and why. (image included)
I prefer this method to the one used in the image because it is easier for solving the equation
How to describe another way of solving the equation?
An algebraic equation is when two expressions are set equal to each other, and at least one variable is included
Given: 2(4m×3.5 / 400) = 171.5
2(4m×3.5 / 400) = 171.5
The 2 can be used to divide the 400 to give:
4m×3.5 / 200 = 171.5
Multiply 4m by 3.5:
14m / 200 = 171.5
Cross multiply:
14m = 200 × 171.5
14m = 34300
Divide both sides by 14:
m = 34300/14
m = 2450
I prefer this method to the method used in the image because dividing integers with integers is easier and faster than dividing decimal numbers with integers
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Given: AB=BC AC < bisector of
Considering the given figure we have that
< BAC = < CAD definition of angle bisection
< BAC = < BCA base angles of isosceles triangle
What is angle bisection?This refers to when angles are being shared or divided into two equal parts.
In the given problem, line AC is the bisector of < BAC. creating wo equal angles in the process. hence
< BAC = < CAD definition of angle bisection
Triangle BAC is an isosceles triangle, since the sides BA and BC are equal. the angles are also equal therefore
< BAC = < BCA base angles of isosceles triangle
Line AC is also a transversal line, connecting the two parallel lines BC and AD. This creates opportunity for alternate angle theorem
< BCA = < CAD alternate internal angle theorem
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The order of rotation for a regular hexagon is?
Answer:
6
Step-by-step explanation:
The rotational symmetry for a hexagon is 6 as it is a regular polygon.
what is the missing number if the mean of 48,33 is 41
Answer:
42
Step-by-step explanation:
let's make the missing number x
\(mean = \frac{sum \: of \: numbers}{how \: many \: numbers \: there \: are} \)
\(41 = \frac{48 + 33 + x}{3} \)
multiply 3 on both sides to get rid of the fraction, 41 × 3 = 123
\(123 = 48 + 33 + x\)
simplify the right side, 48 + 33 = 81
\(123 = 81 + x\)
subtract 81 on both sides
\(123 - 81 = x\)
\(x = 42\)