Answer:
55%
Step-by-step explanation:
Ans
65.25 Step-by-step explanation:
From this year to ten years, the number of people employed as physician assistants in the country is expected to increase by 39%. The number of people employed as physician assistants today is 56,000. Find the predicted number of physician assistants after ten years.
Answer:
the predicted number of physician assistants after ten years is 77840.
Step-by-step explanation:
The number of people employed as physician assistants today is 56,000.
increment in employment =39%
after 10 years
total physicians= 56000*(1+0.39)
[ total =initial + profit]
[profit =profit*initial]
=77840
the predicted number of physician assistants after ten years is 77840.
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A car company uses the table below to show customers the approximate amount of gas used when a car has been driven a certain number of miles.
Gas Use
Miles driven
Gallons of gasoline used
120
6
300
15
360
18
480
?
If the car always uses the same amount of gasoline each mile, how many gallons of gasoline would be needed to travel 480 miles?
A.20
B.24
C.33
D.39
The perimeter of the rectangle shown below is 23 feet. What is the missing side length
Answer:
If you could take a picture of the rectangle I could help you answer that. I can't see the rectangle.
9. Use the following data. 15, 24, 32, 46, 46, 58. Match the measures on the left with the values on the right.
1. median
2. mode
3. mean
4. range
Erin charged $900 on the current credit card this billing cycle. Erin pays $300 towards the balance by the due date, but is unable to pay the remaining $600. The balance of $600 carries over to the next billing cycle, but he must pay interest on this amount as well. If the APR is 15%, how much interest will be added to the payment for the next billing cycle?
$690 is the next bill payment will be added for the next billing cycle.
What is rate of interest ?
An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
Total payment charged = $900
amount paid = $300
amount remained = $600
APR on $600 = 15%
= 600*15/100
= 600*0.15
= $90
Therefore, in the next bill total amount charged is 600 +90 = $690
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Answer:
7.50
Step-by-step explanation:
Finance Charge =.1512×$600=$7.50
$7.50 will be added to his balance next billing cycle, it is the cost he must pay for borrowing $600 from the credit card company this cycle.
let f(x)= |x-4| +1. write a function g whose graph is a vertical shrink of the graph of f by a factor of 1/3
The function g(x) is (|x-4| +1)/3.
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.The relationships between two or more items are frequently represented by the points on a graph.The graph is compressed vertically, or shrunk, in the direction of the x-axis. If k > 1, the graph of y = k*f (x) is the graph of f (x) that has had each of its y-coordinates extended vertically by the factor k.The function f(x) is defined as |x-4| +1. To vertically shrink the graph of f(x) by a factor of 3, divide the function by 3.g(x) = f(x)/3g(x) is equal to (|x-4| +1)/3.To learn more about functions, visit :
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The line of reflection is the y-axis.
True
False
Answer: True :)
Step-by-step explanation:
The perimeter of the pentagon below is 63 units. Find the length of side AB.
Write your answer without variables.
Answer:
15
Step-by-step explanation:
The sides add to 63, so:
[tex]11+3x+11+x+2+2x+3=63 \\ \\ 6x+27=63 \\ \\ 6x=36 \\ \\ x=6 \\ \\ \implies AB=2(6)+3=15[/tex]
evaluate the function f(x) = square root of x at given value
Answer:
2/11
Step-by-step explanation:
since the square root of 4 is 2 and that of 121 is 11
A recent study of 50 U.S. chess players details such things as the number of years the players have been active and the chess ratings of the 50 players. (A chess rating is a number, with a higher number indicating greater expertise.) The chess rating data for the sample of 50 players are summarized in the following histogram.
Using the given histogram, we have that 90% of the players in the sample have scores that are less than 2300.
What is the missing information?This problem is incomplete, but researching it on a search engine, we have that the histogram states as follows:
6 of these players have scores between 300 and 700.6 of these players have scores between 700 and 1100.13 of these players have scores between 1100 and 1500.14 of these players have scores between 1500 and 1900.6 of these players have scores between 1900 and 1300.5 of these players have scores between 2300 and 2700.It asks the proportion of players in the sample with scores that are less than 2300.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
Above, we already gave the amounts presented by histogram, and we have that 45 out of 50 players have scores that are less than 2300, hence the proportion is given by:
p = 45/50 = 0.9.
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192 students in 4 buses
________ in each bus
Answer:
48
Step-by-step explanation:
use a calculator
Construct a polynomial function that might have the graph. Yes, you guessed
it, there could be more than one answer! Only give me one of the possibilities.
Leave your answer in factored form.
There is a 'strike-through' root at -1 and a double root at 2, so the equation is of the form
[tex]y=a(x+1)^3 (x-2)^2[/tex]
Since the y-intercept is 4,
[tex]4=a(0+1)^3(0-2)^2 \implies 4a=4 \implies a=1 \\ \\ \therefore \boxed{y=(x+1)^3 (x-2)^2}[/tex]
emiah The length of a ruler is 12 inches. There are approximately 25.4 millimeters in 1 inch. Which measurement is closest to the length of the ruler in millimeters? A 3,048 mm B 30.48 mm C304.8 mm D 3.048 mm
Answer:
C 304.8
Step-by-step explanation:
Answer:
C 304.8 mm
Step-by-step explanation:
12*25.4 = 304.8
Find the perimeter and are of the trapezoid
Answer:
47.7ft
Step-by-step explanation:
12.8ft+6.2ft+13.9ft+15.5ft=47.7ft
have data on the weights in grams of 5 baby pythons. Thè mèan weight is 3l.B and dre standard deviation of the r,veights is2.79. The correct units for the standard deviation are
We have data on the weights in grams of 5 baby pythons. Their mean weight is 31.8 and the standard deviation of the weights is 2.79 . The correct units for the standard deviation is Grams.
According to the question statement, We have data on the weights in grams of 5 baby pythons. Their mean weight is 31.8 and the standard deviation of the weights is 2.79.
The correct units for the standard deviation is Grams because the unit of standard deviation is the unit of simple data and the unit of variance is the square of the simple data unit.
And as we know the unit of weight is Grams only hence we conclude that Grams is the correct unit of standard deviation.
Standard Deviation: Abbreviated as SD and standard deviation is a measure of the amount of variation of a set of values. A low standard deviation indicates that the values tend to be close to the mean (expected value) of the set, while a more or high SD indicates that the values are spread out over a wider range.To learn more about standard deviation, click on the given link below
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3. An object is dropped from a 450-meter tower. The height of the falling object is given
by y(t) = 450-4.9t2, with height y in meters and time t in seconds.
(a) Use the basic derivative rules to compute y' (2).
Using basic derivative rules the value of y' (2) is 19.6 .
Derivative rules in calculus square measure accustomed realize the derivatives of various operations and differing types of functions like power functions, exponent functions, exponential functions, etc. Some vital spin off rules are:Power Rule ,Sum/Difference Rule ,Product Rule ,Quotient Rule,Chain Rule The power rule of derivatives says d/dx (xⁿ) = nxⁿ⁻¹We have given a function of t y(t) = 450-4.9t².
On differentiating with respect t , we get
y'(t) = 2 × 4.9t
y'(t) = 9.8 t ......(1)
Putting t = 2 in equation (1) , we get
y'(2) = 9.8 × 2
= 19.6
Hence , value of y'(2) is 19.6
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Please help I’m about to lose it!!!
Calculate the distance between the points N=(-8, -2) and C= (-3, 1) in the coordinate plane
Give an exact answer (not a decimal approximation).
34 is incorrect
Answer: 8
Step-by-step explanation:
starting from the x coordinates, -8 and -3, subtract them and get 5. Moving on to the y coordinates, -2 and 1, you add 2 and 1 to get 3. In total after adding 5 and 3 you get 8. When the coordinates (that are in the same spot) are the same, you are subtract. But when they are different, you add. Sorry if this is confusing! But in the end, 8 is he answer.
For the universal set, u= (5, 6, 7, 8, 9) , complete the parts below.
Write your answers in roster form or as .
Given the subset A, the complement of A, A' is {6}
Given the complement of C, C is {5, 7, 9}
What are the answers in roster form?The universal set contains all the elements of the subsets. ' means complement = it means elements that are not in the subset but in the universal set.
To write a set in a roster form, the elements in the set are written in a row within curly brackets - { }. The elements in the set are then separated by commas.
A' = {6}
C = {5, 7, 9}
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the sum of two consecutive integers is 187. find the integers
Answer:
92.5 and 94.5
___________________
Solve[tex]187 \div 2 = 93.5\\\mathrm{Split\:93.5\:into\:two\:integers\:by\pm1}\\93.5 - 1 = 92.5\\93.5 + 1 = 94.5[/tex]
→ Thus, we have our two integers.
_________________________
HELP ME OUT PLEASE!!!
What does the slope represent?
Answer:
there is a change of 2* per hour
Step-by-step explanation:
Answer:
The slope is 2
Step-by-step explanation:
Slope is rise/run
4/2=2
Suppose you transform a square corn field by increasing one side by 2 units and decreasing the other side by 3 units. If the area of the resulting corn field equals 24, what was the length of the original corn field?
Answer:
8 and 3 are the length and the width
Step-by-step explanation:
3
Use the given graph of f to find a number such that if 0 < |x − 3| < then |f(x) − 2| < 0.5.
Answer:
x=3, = -2
Step-by-step explanation:
150 is 96 percent of what number
Answer:
Step-by-step explanation:
Comment
Let the unknown number = x
You should try and figure out if x is bigger than 150 or less than 150.
The equation will tell you.
96/100 * x = 150 96/100 = .96 So you will get something larger than 150 for x
Combine
96/100 = 0.96
Equation
.96*x = 150 Divide by 0.946
.96x/.96 = 150/0.96
Answer
x = 156.25
And as predicted, the answer is larger than 150, because you were dividing by a number less than 1
There are 8 adults in line for a ride. The line has 4 fewer children than adults. How many people are in line? Explain your answer.
Answer:
12 People
Step-by-step explanation:
To start you have 8 people for sure. Then you know that there are 4 fewer children. So then you subtract 4 from 8 and get four. Four plus eight is twelve!
The number of people in line will be 12.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
There are 8 adults in line for a ride. The line has 4 fewer children than adults. Then the number of children will be
⇒ 8 - 4
⇒ 4 children
Then the number of people in line will be
⇒ 8 + 4
⇒ 12
The number of people in line will be 12.
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What is the quotient of 20/8 divided by 5/12?
85/12
12
16
25/9
Answer:
6 (None of the above)
Step-by-step explanation:
Let's solve the problem,
→ 20/8 ÷ 5/12
→ 20/8 × 12/5
→ 240/40 = 6
Hence, the answer is 6.
Describe the end behavior of each polynomial.
(a) The leading coefficient is positive and the degree is odd, so:
As x approaches infinity, y approaches infinity.As x approaches negative infinity, y approaches negative infinity.(b) The leading coefficient is negative and the degree is even, so:
As x approaches infinity, y approaches negative infinity.As x approaches negative infinity, y approaches negative infinity.determine the range of the following graph. PLEASE HELP MEEE
Answer:
-5 ≤ y ≤ 5
Step-by-step explanation:
Hello!
The range is the set of y-values that the graph passes through.
Since the endpoints of the graph are filled in, meaning they include the values they end on, we use the ≥ or ≤ symbols to write the inequality for the range.
The minimum y-value is -5, and the maximum y-value is 5.
The inequality for the range would be -5 ≤ y ≤ 5.
11. STEM Connection The world's biggest submarine
can sail at a speed of about 25.5 miles per hour on
the surface. How can you describe the relationship
between 5 and 0.5?
5 is at the one-place value, and 0.5 is at the tenth-place value. 5 is ten times the value of 0.5.
What is described as the once and tenth place?There are one or more digit numbers in a number. 43 has the digits 4 and 3. The value of a numeral is determined by its position in the number.The number one in the number twelve is located in the tens place. The 2 in 12 is now in the one position. 95 has a 9 with in tens position and a 5 with in ones position.The number 0 is significant. The zero in twenty indicates there are no ones. That tells us that the 2 in 20 are in the tens. 20 is made up of two tens and zero ones.For the given question;
The speed of the world's biggest submarine is 25.5 miles per hour on the surface.
Thus, in the value of 25.5, the digit 5 lies on the once place.
The value 0.5 lies on the tenth place.
Now, it is clear that the 5 is the 10 times the value of 0.5, which is the required relation.
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Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=1/3x+5
Step-by-step explanation:
Slope-intercept form is y=mx+b, m being the slope and b being the y-intercept. y and x don't need to be specified for this specific problem.
You figure out the slope by using rise over run
you first pick 2 random points on the line and then count how you get from the 1st point to the 2nd point.
Let's say the points are (-3,4) and (0,5).
to get to (0,5) from (-3,4) you count up 1 (rise) and right 3 (run).
that means your slope is 1/3
Your b, or your y-intercept, is just where the slope intercepts the y-axis, so b=5
From there you just plug those into the equation:
y=1/3x+5
:D
Solve for x
|4x + 7| + 9 = 6
Add -9 to both sides.
|4x+7|+9+−9=6+−9|4x+7|=−3Solve Absolute Value.
|4x+7|=−3No solutions. (Absolute value cannot be less than 0.)
Skandar