Using the scale factor we calculate the length of the bridge to be 5.6 meters.
Scaling is a linear transformation that raises or decreases the size of objects by a constant scale factor in all directions.
The result of uniform scaling is geometrically equivalent to the original. In common usage, a scale factor of 1 is allowed, allowing congruent shapes to be categorized as comparable.A map's scale is typically defined as the distance between one unit on the map and the corresponding distance on the ground. This ratio is known as a scale factor.Scale factor equals the new shape's dimensions.The length of the bridge on the map is 80 cm .
Now the scale of the map is 1 : 7
Therefore the length of the bridge is 80 × 7 = 560 cm = 5.6 meters.
Hence the length of the bridge is 5.6 meters.
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A list of fixed fees for services recorded on the encounter form is called the
A list of fixed fees for services recorded on the encounter form is called the Superbills.
The purpose of encounter forms, often referred to as super bills, is to "document services performed by recording the diagnostic and procedure codes, which serve as the foundation for billing and receipt of payment for services." Every time a patient or customer receives a service, the provider records that service, often into medical claims software that may automate much of the subsequent procedure.
This technique entails coding (procedure codes and, if necessary, diagnostic codes), billing/invoicing, and/or transmission to the patient's or client's insurance provider. For the client's health and treatment plans as well as for proper billing, it is crucial to make sure that the appropriate information is documented. This is why encounter forms are such a crucial component of healthcare.
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write an equation of the line passing through the point (-20, 4) that is perpendicular to the line 2x+5y=10
Equation of the line passing through the point of (-20, 4) and perpendicular to the line [(2x + 5y) = 10] will be [2y = (5x + 108)].
As per the question statement, a line passes through the point of (-20, 4) and is perpendicular to the line [(2x + 5y) = 10].
We are required to determine the equation of the above-mentioned line.
To solve this question, we need to know about the formula to express the point-slope form of a line, which goes as, [(y - y₁) = m(x - x₁)],
where (x₁, y₁) is a point through which the line passes, and "m" is the slope of the line.
Also, we need to know about the mathematical fact that, the product of the slopes of two perpendicular lines equate to (-1), i.e., if (m₁ and m₂) are the slopes of two perpendicular lines, then [(m₁ * m₂) = (-1)].
Converting [(2x + 5y) = 10] into the point-slope form of line, we get,
(2x + 5y) = 10
or, [5y = {(-2x) + 10}]
or, [y = {(-2/5)x + 2}]
Therefore, Slope of the line [(2x + 5y) = 10] is (-2/5).
Hence, slope of the line perpendicular to [(2x + 5y) = 10] is [-1/(-2/5)], i.e.,
Slope of the line perpendicular to [(2x + 5y) = 10] is (5/2).
Now, using [m = (5/2)] and (x₁, y₁) as (-20, 4), equation of the line will be
[(y - 4) = (5/2){x - (-20)}]
or, [(y - 4) = (5/2)(x + 20)]
or, [(y - 4) = (5/2x) + 50]
or, [2(y - 4) = 5x + 100]
or, [(2y - 8) = (5x + 100)]
or, [2y = (5x + 108)]
Equation of a Line: The equation of line is an algebraic form of representation of the set of points, which together form a line in the cartesian coordinate system, as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line.To learn more about Equation of a Line, click on the link below.
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If 15% of coins are quarters and there are 12 quarters, what is the total # of coins
Based on the given task and the percentage of quarters in the coins, the total number of coins is 80 coins.
How to find total coins?To calculate the total coins;
Let
The total number of coins = xThe percentage of quarters = 15% of x are quartersThe number of quarters = 12Then, you will
Equate the Percentage of quarters and Number of quarters:Percentage of quarters = Number of quarters
15% of x = 12
15/100 × x = 12
0.15 × x = 12
0.15x = 12
divide both sides by 0.15x = 12 / 0.15
x = 80 coins
In conclusion, the total number of coins is 80 coins.
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There are 24 students in Mrs. Brown’s class and 18 of them like to dance what percent of the class likes to dance 
In Mrs. Brown’s 75% percent of the class likes to dance .
What are mathematics operations?
A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.
Given:
number of students in Mrs. Brown’s class = 24
number of students likes to dance = 18
Then to find the percent of the class likes to dance we divide 18 by 24 and multiply with 100:
percent of the class likes to dance = (18/24) x 100
percent of the class likes to dance = 75%
Therefore, in Mrs. Brown’s 75% percent of the class likes to dance .
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Answer:75%
Step-by-step explanation:
number of students in Mrs. Brown’s class = 24
number of students likes to dance = 18
Then to find the percent of the class likes to dance we divide 18 by 24 and multiply with 100:
percent of the class likes to dance = (18/24) x 100
percent of the class likes to dance = 75%
Therefore, in Mrs. Brown’s 75% percent of the class likes to dance.
Solve for x.
Z = блху
О
Z = x
бл
x = -
блуг
Z = x
блу
= x
Answer
2
Step-by-step explanation:
1 + 1 =2
14. Find the common difference of the arithmetic sequence.
25, 18, 11, 4,...
A 18/25
B 1 7/18
C -7
D 43
Answer:
C -7
Step-by-step explanation:
the numbers keep on decreasing by 7
Slope is -1/2 and (-9,3) is on the line.
the equation of the line will be:
[tex](y-3)=-\frac{1}{2}(x-(-9))[/tex]then
[tex](y-3)=-\frac{1}{2}(x+3)[/tex]and we obtain
[tex]y=-\frac{1}{2}x-\frac{3}{2}+3[/tex]and making the subtraction, we have
[tex]y=-\frac{1}{2}x+\frac{3}{2}[/tex]which is the same as
[tex]y=-\frac{1}{2}(x-3)[/tex]Is it right?????????
The means are the same and the standard deviations are different.
There are two lists given for which the means and the standard deviations need to be compared. So we first find the mean and standard deviation of each list one-by-one using the formulas,
Mean = (1/n)∑x
Variance = [(1/n)∑x²]- mean²
Standard deviation = √variance
List A
x: 1 2 3 4 5 6
x²: 1 4 9 16 25 36
n = 6
Mean = (1/6)[1+2+3+4+5+6] = 21/6 = 3.5
Variance = 1/6[1+4+9+16+25+36] - 3.5² = 15.167-12.25 = 2.917
Standard deviation = √2.917 = 1.71
List B
x: 2 3 3 4 4 5
x²: 4 9 9 16 16 25
Mean = 1/6(2+3+3+4+4+5) = 21/6 = 3.5
Variance = 1/6(4+9+9+16+16+25)-3.5² = 13.167 - 12.25 = 0.917
Standard deviation = √0.917 = 0.9576
Hence the means are the same and the standard deviations are different.
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A ski gondola carries skiers to the top of a mountain. Assume that the total weights of adult skiers (including their equipment) are normally distributed with a mean of 200 lb and a standard deviation of 40 lb. Further assume that the gondola can carry a maximum of 25 skiers and has a maximum load limit of 5,000 lb. If the gondola is full, it will be overloaded if the mean total weight of the skiers exceeds 5,000 lb / 25 skiers = 200 lb/skier. If the gondola is filled with 25 randomly selected skiers, what is the probability that it will be overloaded? (Round your answer to three decimal places; add trailing zeros as needed.)
If the gondola is filled with 25 randomly selected skiers, the probability that it will be overloaded is; 50%
How to find the mean weight from normal distribution?The formula to find the maximum mean weight of passengers is;
Maximum mean weight = Load limit ÷ number of passengers
We are given;
Load limit = 5000 lb
Maximum number of passengers = 25
Thus;
Maximum mean weight of passengers = 5000 ÷ 25 = 200lb
Let us find the z-score:
z = (max value - mean) / st. dev
z = (200 - 200)/40
z = 0
From online p-value from z-score calculator, the p-value = 0.5 and so that is the probability that it will be overloaded.
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What is the precise definition of a limit in calculus?
Step 1
Given; What is the precise definition of a limit in calculus?
The required definition is;
Answer;
Let f be a function defined on some open interval containing a (except possibly at a).
Then the limit as x approaches a of f is L written as;
[tex]\lim_{x\to a}f(x)=L[/tex]if and only if
I will give brainliest, like and rating if u solve this right
Which of the following statements is true?
Answer:
Step-by-step explanation:
c lol
HURRY The real root of the equation x3 – 7x2 + 15x – 25 = 0 is 5. What are the nonreal roots?
–4i, 4i
2 – 4i, 2 + 4i
1 + 2i, 1 – 2i
–16i, 16i
The non real roots of the polynomial x³ – 7x² + 15x – 25 = 0 are; 1 + 2i, 1 – 2i
What is the non - real root?
Non real roots are simply imaginary roots.
We are told that the real roots of the equation x³ – 7x² + 15x – 25 = 0 is 5.
Now, it means that (x - 5) is a factor of the given polynomial. Thus, we can factorize the polynomial as;
(x - 5)(x² - 2x + 5) = 0
Now, to find the non - real roots, we will use quadratic formula on (x² - 2x + 5) to get;
x = [-(-2) ± √((-2)² - (4 * 1 * 5))]/2(1)
x = (2 ± √(-16))/2
x = 1 ± 2i
x = 1 + 2i, 1 – 2i
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Answer:
c
Step-by-step explanation:
Please I need help and show answer
Pls help need asap
Which of the following graphs represent and even function?
The first and second graphs represent even function.
What is an even function?If f of x is equal to f of −x for all the values of x, then it is called Function. This implies that function is same for the positive x-axis and the negative x-axis. Trigonometric even function, and secant function are some of the examples of even function.
Following are the properties of an even function:
Sum of two even functions is also even.Difference of two even functions is also even.Product of two even functions is always even.Quotient of the division of two even functions is always even.Composition of two even functions is also even.And composition of an even and odd function is also even.As the graph of first and second is symmetric about the y axis, therefore both represent even functions.
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If the sales tax for the city of Los Angeles is 9.75%, how much tax would you pay for an itemthat costs $200.00?Type your answer...
To find the final cost of the sales tax you need to:calculate the tax
As the sales tax is 9.75% you calculate the 9.75% of $200.00
[tex]200.00\cdot\frac{9.75}{100}=19.5[/tex]Then, the sales tax of a item that cost $200.00 is $19.5. You pay $19.5 in tax for a item that cost $200.00I will give brainliest, like and rating if u solve this right
TRUE OR FALSE?
Hailey is making floral cen
terpieces for a wedding. Each centerpiece has 17 flowers. She has 430 flowers for the project. She estimates that she can make between 20 and 30 complete centerpieces. Is her estimate reasonable?
Answer:
Yes.
Step-by-step explanation:
Divide 430/17 and you get around 25, signifying the correct answer is right in the middle of Hailey's estimation.
PLEASE HELP I MISSED OUT ON CLASS BECAUSE I WAS SICK AND I DONT UNDERSTAND
Answer:
A)Linear angles
B) they have a sum of 180
C)25x+5+4+32x=180
57x+9=180
57x=171
x=3
D)25(9)+5=
75+5=80
32(3)+4=
96+4=100
Step-by-step explanation:
HELP IF U CAN ILL GIVE BRAINLIESt AND 20 POINTS SHOW UR WORK!!!!
Answer:EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
write the equation of a line perpendicular to 12y=2x+10 and passing though the point (-2,-1)
The equation of the line perpendicular to 12y = 2x + 10 and passing though the point (-2,-1) is y = -6x -7.
Writing the equation 12y = 2x + 10 in slope intercept form, we get,
y = (1/6)x + 5/6
The slope of the line is 1/6.
We know that,
Product of slope of two lines perpendicular to each other = -1.
Let the slope of the line perpendicular to the given line be m.
Hence, we can write,
m*(1/6) = -1
m = -6
Let the line perpendicular to the given line be y = mx + c.
It is given that the line perpendicular to the given line goes through (-2,-1).
Hence, we can write,
-1 = -6.(-1) + c
-1 = 6 + c
c = -7
Hence, the slope-intercept form of the line perpendicular to the given line is y = -6x -7.
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HELPPPP!!!!!!!!!!!!!!!
Answer: see answers below
Step-by-step explanation:
F(x) is bascially the y
the absolute value means any numbers that you use for x when substituted into x-2 will always be a positive number even if x-2 is negative as with any number 3 or greater, or any number -3 or less.
for the values that are 0, 1, 2, 3, 4 or 0, -1, -2 the answer for f(x) will be a negative number. All other numbers positive or negative for x will result in a positive answer.
So you need to graph your line with an arrow on each end to show it goes to infinity. in your chart you choose a number for x, and the f(x) number (which is equivalent to the y number for purposes of graphing.
I cannot draw on her a graph for you because I don't have that ability without an app for that.
here are some sample points for your chart. THe first number in each parenthesis is x and the second is f(x)
(-1, -2), (-2, -1), (0, -3), (-3, 0), (1, -4), (2, -5), (3-4), (4,-3), (5-2), (6, -1) All other numbers positive or negative for x will result in f(x) being positive.
You only need two sets of points to put on the graph to draw the line through.
So negative values for f(x) can only be -1, -2, -3, -4, -5. x can include all negative numbers through infinity.
Positive will include all positive numbers through infinity for x and f(x).
F(x) cannot decrease beyond -5. x can decrease all numbers through infinity.
Constructed Response. Be sure to answer all parts of the constructed response.1. A baton twirler releases a baton at a height of 5 feet above the ground with the initial velocity of30 feet per second. The height of the baton t seconds after it is thrown is given by the function,h(t) = -16t2 + 30t + 5, where h(t) is the height of the baton in feet.a.) How high is the baton after 1.5 seconds? Round your answer to the nearest hundredth, ifapplicable.b.) What is the maximum height of the baton? Round your answer to the nearest hundredth, ifapplicable.c.) How long does it take for the baton to reach its maximum height? Round your answer to thenearest hundredth, if applicable.
Given the equation that
One of the legs of a right triangle measures 16cm and the other leg measures 2cm. Find the measure of the hypotenuse.
Answer:
18.23
Hope this is right! (don't worry I did the math)
Tickets to Disney World are $105. The price is going to increase on January 1. What is the percent of change if the cost increases to a $125?
Answer: Take the help of the Percentage Difference From X to Y Calculator to evaluate the increase/decrease from 105 to 125 is 19.0476% on dividing the absolute value with the average value and multiplied by 100.
Step-by-step explanation:
Hope Fully this helps you
Which of the following choices are equivalent to theexpression below? Check all that apply.A. XB. (**)D D. &E (2)19F.
The expression
[tex]x^{\frac{9}{4}}[/tex]is equivalent to
[tex]\sqrt[4]{x^9}[/tex]then the answer is option D
Since the root and the exponent commute, this also can be written as
[tex](\sqrt[4]{x})^9[/tex]then the answer is option B
And by the same reason, this can be written as
[tex](x^9)^{\frac{1}{4}}[/tex]then the answer is option E
Lowes counted the number of customers entering the store for a week. The results were 1,100; 950; 1,100; 1,700; 880; 920; and 1,100. What is the mode?
The mode for the number of customers counted by Lowes entering the store for the week is 1100.
What is the mode of a data?The mode of a data is that with the highest frequency.
According to Lowe's counts, we have the following data:
1100950110017008809201100There are three 1100 in the seven data counted by Lowes
we will notice after careful observation that we have more of the data 1100 with the highest frequency of 3 out 7 data counted.
Thus, we can conclude from our understanding that the mode of the data which is that with the highest frequency is 1100.
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Need help with this please
Answer:
angle A: 75 degrees
Step-by-step explanation:
because m and n are both 180 degree angles so when you do 180-105 you get 75
a,d,e,h=105 degrees
b,c,f,g= 75
because 105+75=180
While traveling to his grandmother's for Christmas, George fell asleep a quarter of the way through the journey. When
he awoke, he still had to travel half the distance that he had traveled while sleeping. For what part of the entire
journey had he been asleep?
George had been asleep for of the entire journey
(Type an integer or a simplified fraction.)
While traveling to his grandmothers for Christmas, George had been asleep for 50% of the entire journey and this distance is found by reviewing the information given to us.
What is distance travelled?The length of the entire journey taken to get from one point to another is the distance travelled. Travel distance is not a vector. It has no orientation.
In this question,
Let us take that George had been asleep for x distance.
Then according to question, we can form the equation
3/4 = 1/2x + x
3/4 = 3x/2
x = 1/2
so, the total distance travelled is 50% of the entire journey.
What are its displacement and travel distance?Displacement is the straight path between the initial and final points, whereas distance travelled is the actual length the body covers.
What is the travelled distance measured in?The International System of Units defines a meter as the distance unit.
How can velocity be used to calculate distance travelled?
Finding the area under the velocity, in particular when velocity is positive on an interval, allows us to determine the total distance travelled.
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The graph of f(x)=6.5x is reflected about the y -axis and stretched vertically by a factor of 7 . What is the equation of the new function, g(x) ? State its y -intercept, domain, and range.
When the function f is transformed to g, the equation is -45.5x
The domain is -∝ < x < ∝The range is -∝ < y < ∝The y-intercept = 0How to determine the equation of function g?The equation of function f is given as
f(x) = 6.5x
The transformation is given as
Reflection about the y-axisVertical stretch by a factor of 7The above transformation rule can be represented as
(x, y) = (-x, 7y)
When the above rule is applied, we have the following equation
g(x) = -7f(-x)
So, we have
g(x) = -7 * 6.5x
Evaluate
g(x) = -45.5x
The above equation is a linear function
So, the domain and the range are the set of all real values and the y-intercept is 0
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State the z score that is the cutoff for each of the following: a. The top 5% of scores b. The bottom 2.5% of scores c. The top 69.5% of scores d. The top 50% of scores e. The bottom 50% of scores
The z-scores that are the cutoffs are given as follows:
a. z = 1.645.
b. z = -1.96.
c. z = -0.51.
d. z = 0.
e. z = 0.
What is the z-score formula and what does it represent?The z-score of a measure X of a variable that has mean given by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean. From the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.For this problem, we have that:
In item a, the cutoff is the 95th percentile, hence z = 1.645, which has a p-value of 0.95.In item b, the cutoff is the 2.5th percentile, hence z = -1.96, which has a p-value of 0.025.In item c, the cutoff is the 30.5th percentile, hence z = -0.51, which has a p-value of 0.305.In item d, the cutoff is the 50th percentile, hence z = 0, which has a p-value of 0.5.In item e, the cutoff is the 50th percentile, hence z = 0, which has a p-value of 0.5.More can be learned about z-scores at https://brainly.com/question/25638875
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