Answer:
$43.55
Step-by-step explanation:
From the information given:
The fee paid by the patient = $80
The approved amount by Medicare = 54.44
The physician's actual fee which is the medicare payment check:
= 54.44 × 0.80
= $43.55
If a matrix A is 5 x 3 and the product AB is 5 x 7, what is the size of B?
The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].
Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.
Let A is a 3 x 5 matrix and B is a 5 x 7 matrix
We know that matrix multiplication of A and B is possible if
Number of columns of A = Number of rows of B
Since in the given problem
Number of columns of A = Number of rows of B = 5
So the product is possible
Now the product AB is a matrix of order 3 × 7
Now the order of the product AB is 3 × 7
If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.
Learn more about Matrix:
https://brainly.com/question/94574
#SPJ4
4. A pizza shop has 12" pizzas with 6 slices and 16" pizzas with slices. Which pizza has bigger slices?
solve for the roots in simplest form using the quadratic formula 4x^2-12x=-17
9514 1404 393
Answer:
x = 3/2 ± i√2
Step-by-step explanation:
For quadratic ax² +bx +c = 0, the roots are given by the formula ...
\(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)
When we put your equation into standard form:
4x^2 -12x +17 = 0
we see the relevant formula values are ...
a = 4, b = -12, c = 17
Then the roots are ...
\(x=\dfrac{-(-12)\pm\sqrt{(-12)^2-4(4)(17)}}{2(4)}=\dfrac{12\pm\sqrt{-128}}{8}\\\\x=\dfrac{3\pm2\sqrt{2}i}{2}=\boxed{\dfrac{3}{2}\pm i\sqrt{2}}\)
Naelly is taking a class trip to Washington DC. The cost of the trip is $459. 60. Naelly paid an initial deposit of $150, and must make the remainder of the payments in 12 equal monthly payments. What is the amount of each monthly payment in dollars and cents?
459.6 - 150 = 309.6
309.6 / 12 = $25.80 a month for 12 months
Find 76% of 147 please answer
Answer:
111.72
simplify multiply
⇒ 76% * 147
⇒ (76/100) * 147
⇒ 111.72
Help asap :)
Are the following functions inverses of one another ?
Use function composition to explain your answer :)
It is proved that f(g(x)) = g(f(x)) = x , So f(x) and g(x) are inverses of one other
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
We are given the function as;
f(x) = 5x + 2
g(x) = (x -2)/ 5
If two functions f(x) and g(x) are inverses of each other, their compositions will equal
f(g(x)) = 5[ (x -2)/ 5] + 2
f(g(x)) = x - 2 + 2
f(g(x)) = x
Now,
g(f(x)) = ((5x + 2) -2)/ 5
g(f(x)) = (5x + 2 -2)/ 5
g(f(x)) = x
Learn more about function here:
https://brainly.com/question/2253924
#SPJ1
Assume that from past experience with the satisfaction rating score, a population standard deviation of σ≦12 is expected. In 2012 , Costco, with its 432 warehouses in 40 states, was the only chain store to earn an outstanding rating for overall quality (Consumer Reports, 03/2012). Now, a sample of 11 Costco customer satisfaction scores provided the sample mean =84 and the sample standard deviation =11.3. Construct a hypothesis test to determine whether the population standard deviation of σ≦12 should be rejected for Costco. Also, a 0.05 level of significance is used (i.e., α=0.05 )
it can be concluded that the population standard deviation is within or less than 12.
To construct a hypothesis test to determine whether the population standard deviation of σ≦12 should be rejected for Costco, we can use a chi-square test for variance.
Step 1: State the null and alternative hypotheses:
- Null hypothesis (H₀): σ ≤ 12
- Alternative hypothesis (H₁): σ > 12
Step 2: Determine the level of significance (α = 0.05) and degrees of freedom (df = n - 1 = 11 - 1 = 10).
Step 3: Calculate the test statistic:
- χ² = (n - 1) * (s² / σ²) = 10 * (11.3² / 12²) = 10 * 0.94 = 9.4
Step 4: Determine the critical value:
- The critical value at α = 0.05 with df = 10 is χ²ₐ = 18.307
Step 5: Compare the test statistic with the critical value:
- Since χ² = 9.4 < χ²ₐ = 18.307, we fail to reject the null hypothesis.
Step 6: Conclusion:
- Based on the given sample data, there is not enough evidence to reject the hypothesis that the population standard deviation of σ≤12 for Costco.
Therefore, it can be concluded that the population standard deviation is within or less than 12.
Learn more about hypothesis from the following link:
https://brainly.com/question/606806
#SPJ11
X+y=-4
2x+4y=-12
Stop by substitution
Answer:
X=4-y
2(4-y)+4y=12
8-2y+4y=12
2y=12-8
2y=4
y=4/2
y=2
x=4-y
x=4-2
x=2
Penelope has been practicing driving a golf ball. The lengths of her first 3 drives are shown below: • Drive 1: 180 yards • Drive 2: 170 yards • Drive 3: 195 yards • Drive 4: ? How far does she need to drive the ball so that her average drive is 182 yards? yards
Answer:
The answer is "183 yards"
Step-by-step explanation:
\(Drive \ 1= 180 \ yards \\\\Drive \ 2= 170 \ yards\\\\ Drive\ 3= 195 \ yards \\\\Drive \ 4= x \ \ yards \\\\\)
Using formula:
\(\to \text{average of number}=\frac{sum \ of \ number}{total\ number}\\\\\to 182 =\frac{180+170+195+x}{4}\\\\\to 4 \times 182 =545+x\\\\\to x= 728-545\\\\\to x=183\)
What is the most appropriate method to solve the quadratic equation x²−16=0?
B. By factoring
A. By extracting the square root
C. By completing the square
D. By using the quadratic formula
Show that the numbers are all rational by writing each number as a ratio of integers.
320.5492492492...
The number 320.5492492492... is rational and can be expressed as the fraction 1829/333.
To show that the number 320.5492492492... is rational, we can follow the same approach as before and express it as a sum of rational numbers.
Let x = 320.5492492492...
We can separate the integer part of x and the repeating decimal part:
x = 320 + 0.5492492492...
To express the repeating decimal part as a fraction, we can subtract a portion of it from the original number, like this:
1000x - 320000 = 549.2492492...
100000x - 32000000 = 549249.2492492...
Now we can subtract the first equation from the second equation:
99900x = 549249.2492492... - 549.2492492...
This simplifies to:
99900x = 548700
x = 548700/99900
Simplifying the fraction by dividing both numerator and denominator by their greatest common factor, we get:
x = 1829/333
Therefore, the number 320.5492492492... is rational and can be expressed as the fraction 1829/333.
To know more about rational refer to-
https://brainly.com/question/24540810
#SPJ11
There are 20 women in a bus 15 of them wear glasses and 10 wear wrist watches.if a woman is chosen at random from the bus find the probability that she wears both glasses and wrist watch
The probability that a woman is chosen at random from the bus wears both glasses and wrist watch is 1/4.
What is the number of people that wear both glasses and wrist watch?
We know that in order to solve this sort of problem it is pertinent to rely on the idea of set. We have the following information;
Total number of women in the bus = 20
Total number that wear glasses = 15
Total number that wear wrist watches = 10
Now;
20 = 15 + 10 - y
where y = number that wears both glasses and wrist watch
y = 25 - 20
y = 5 people
Probability = 5/20 = 1/4
Learn more about probability:https://brainly.com/question/11234923
#SPJ4
Evaluate | x+y, for x = 8 and y=-15.
7
23
-7
-23
NEED HELP ASAP! BRAINLIST WILL BE INCLUDED!
Question: Which is not a solution of this inequality? m -8 ≤ 2
A. 7
B. 8
C. 9
D. 10
E. 11
Answer:
11
Step-by-step explanation:
m - 8 (less than or equal to) 2
= m(less than or equal to) 10
So anything before 10 not after
Answer:
It is E. past me
Step-by-step explanation:
m-8+8=2+8
m≤ 10
So m has to be 10 or smaller so 11 is not a solution
may someone help me please?? It’s NOT a test btw lol
Answer:
lol this is diffuclt.
Step-by-step explanation:
PLEASE HELP!! Solve the triangle
Answer:
Option D. m<A = 43, m<B = 55, a = 20
Step-by-step explanation:
1. Determination of angle B.
Angle C = 82
Opposite C (c) = 29
Opposite B (b) = 24
Angle B =?
Using Sine rule, we can obtain the value of angle B as follow:
b/Sine B= c/Sine C
24/Sine B = 29/Sine 82
Cross multiply
29 × Sine B = 24 × Sine 82
Divide both side by 29
Sine B = (24 × Sine 82) /29
Sine B = 0.8195
Take the inverse of Sine.
B = Sine¯¹ (0.8195)
B = 55
2. Determination of angle A.
Angle C = 82
Angle B = 55
Angle A =?
The value of angle A can be obtained as follow:
A + B + C = 180 (sum of angle in a triangle)
A + 55 + 82 = 180
A + 137 = 180
Collect like terms
A = 180 – 137
A = 43
3. Determination of side a (Opposite A)
Angle C = 82
Opposite C (c) = 29
Angle A = 43
Opposite A (a) =?
The value 'a' can be obtained as by using sine rule as illustrated below:
a/Sine A = c/Sine C
a/Sine 43 = 29/Sine 82
Cross multiply
a × Sine 82 = 29 × Sine 43
Divide both side by Sine 82
a = (29 × Sine 43) /Sine 82
a = 20
Therefore,
m<A = 43, m<B = 55, a = 20
The sum of two square number is also a square number.Find the numbers.
Answer:
x^2 + y^2 = z^2
There are infinitely many choices for whole numbers x, y, and z.
I need help with this please
Answer:
The answer is B
Step-by-step explanation:
Because you are looking at the parallel lines not the strait cuz if it asked for the strait you would be adding.
consider a symmetric matrix a. if the vector v is in the image of a and w is in the kernel of a, is v necessarily orthogonal to w?
Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A.
Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A. This is due to the fact that for any symmetric matrix A, the image (column space) and kernel (null space) are orthogonal subspaces. Since v is in the image of A and w is in the kernel of A, their dot product must be zero, indicating orthogonality.
To know more about Symmetric matrix visit:
https://brainly.com/question/14405062
#SPJ11
PlZZ help me
Three people, Needcash, Wantmoney and Luvdough, share in a business in the
ratio of 4: 6:5. The profits are shared in the same ratio. If the business had a total
profit of $277 500, use proportions to determine how much would
Wantmoney receive?
Answer:
$111000
Step-by-step explanation:
\( \frac{277500}{ 4 + 6 + 5 } \\ = 18500 \\ \\ 18500 \times 6 = 111000 \: - the \: amount \: wantmoney \: would \: receive\)
Deshawn is training for a swim meet. He will swim 15 laps each day of practice. He has 9 days of practice until his swim meet
Answer:135
Step-by-step explanation:
9x15=135
What is question asking??? All I need is one example and I get the rest I just don’t understand the assignment
So basically you have to drag an angle to the box, example drag DFA to the box, then add what angle it is equal to. You have to calculate the angle and drag it opposite to the DFA. For DFA, it will be 58.
two hikers travel 8 mi southeast and then 6 mi east. find the hikers distance and bearing from their starting point at this time
The hiker's distance and bearing from their starting point are approximately 7.155 miles and 28.07°, respectively.
Given that two hikers travel 8 mi southeast and then 6 mi east, we are to find the hikers distance and bearing from their starting point at this time.Long ExplanationThe bearing of the hiker refers to the angle between the hiker's direction and North. So, let us assume that the hiker has initially moved at a direction East, as shown below:We are given that the hiker has traveled 8 miles to the southeast.
Therefore, from the diagram, the distance traveled in the East direction is 8 sin(45) miles, and the distance traveled in the South direction is 8 cos(45) miles. East = 8 sin(45) = 8/√2 = 4√2 miles South = 8 cos(45) = 8/√2 = 4√2 miles We are then told that the hiker travels 6 miles east, from the last position.
To know more about distance visit:-
https://brainly.com/question/13034462
#SPJ11
On a map, Clemonsville and Durant are
120
miles apart. How fast is a car traveling if it takes
3
hours to get from Clemonsville to Durant?
Answer:
The car is traveling at 40 mph.
This can be found by dividing 120 miles by the time of 3 hours to find the speed.
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
Work out the value of 5 to the power of a if it equal 1/125
Answer:
a = -3
Step-by-step explanation:
Step 1: Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:
5^a = 1/125
Step 2: Take the log of both sides
log(5^a) = log(1/125)
Step 3: According to the power rule of logs, we can bring a down and multiply it by log(5):
a * log(5) = log (1/125)
Step 4: Divide both sides by log(5) to solve for a:
(a * log(5) = log(1/125)) / log(5)
a = -3
Optional 5: We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:
5^-3 = 1/125
1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator
1/125 = 1/125
suppose you like to keep a jar of change on your desk. currently, the jar contains the following: 8 pennies 13 dimes 12 nickels 22 quarters what is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, a dime? express your answer as a fraction or a decimal number rounded to four decimal places.
Step-by-step explanation:
12 nickels out of (8+13+12+22 = 55) coins 12/55 chance of nickel
now there are only 54 coins and 13 are dimes : 13/54 chance of dime
12/55 * 13/54 = 26/495 = .0525 chance
Solving Systems of equations by elimination = Can anyone solve this?
-3x + 3y = 24
-8x + 3y = 14
Jen has a newer car than Amelie, and it has One-third the miles of Amelie’s car. Amelie’s car has 45,000 miles. Which of the following equations model this situation? Select all that apply.
3(m) = 45,000
1/3 + m = 45,000
m = (1/3) (45,000)
m = 3(45,000)
m = 1/3 = 45,000
Answer:
Its 1rst and 3rd
Step-by-step explanation:
I took the assignment. Its correct.
Answer:
1 and 3
Step-by-step explanation:
on edge just got it right :)
Consider the equation In(x - 1) + cos(x - 1) = 0. Find an approximation of it's root in [1, 2] to an absolute error less than 10^12 with one of the methods covered in class.
The bisection method is a numerical method for finding the roots of a polynomial. This method starts by evaluating the polynomial at the mid-point of the interval.
The polynomial is evaluated at the interval's endpoints, and the half of the interval containing the root is chosen based on the sign of the evaluated results.If f(a) and f(b) have different signs, then there is a root between them. The midpoint of this interval is used to check the sign of f at the midpoint.
The half-interval that includes the root is chosen as the new interval. The midpoint of the new interval is used to determine whether the midpoint has the same sign as f(a) or f(b).
Here, we use the bisection method to estimate the root of the equation In(x - 1) + cos(x - 1) = 0, with absolute error less than 10^(-12), in the interval [1, 2]. Let's start by defining the function to be evaluated as `f(x) = ln(x - 1) + cos(x - 1)`.
Now, Let's define `a = 1` and `b = 2`, which is the interval containing the root.To apply the bisection method, we compute the midpoint of the interval \(`c = (a + b) / 2`, which is equal to `c = (1 + 2) / 2 = 1.5`\).Then we calculate `f(c)` as follows:f(c) = f(1.5) = ln(1.5 - 1) + cos(1.5 - 1) = 0.25597837Since `f(a)` and `f(c)` have opposite signs,
we conclude that the root lies in the interval `[1, c]`.Thus, the new interval is `[1, c] = [1, 1.5]`, and we will continue the bisection method by computing the midpoint `d = (1 + 1.5) / 2 = 1.25`.
To know more about equation visit:
https://brainly.com/question/29538993
#SPJ11
By moving point G, how many triangles is it possible to draw, keeping the measure of just one angle constant (in this case, m∠FDE)? In how many instances are all three angle measures of ∆DEF equal to those of the original triangle, ∆ABC?
Step-by-step explanation:
Keeping, one angle FDE, many triangles are possible since length of no segment is fixed and only one angle is fixed.
At many instances, triangle ABC and DEF have same angle measurements. Referring to the image attached here.
As point G moved on the ray EF, many triangles with same angle measurements as of ABC can be formed.
Answer:
Since no segment length is fixed and only one angle is fixed, multiple triangles are possible while maintaining one angle FDE. Triangles ABC and DEF frequently have the same measured angles. referring to the picture that is attached. Numerous triangles with the same angle measurements as ABC can be constructed when point G moves along ray EF.
Step-by-step explanation: