The total amount the customer still owe is $38.25. Customer: "I prepaid 70% of the total cost of $127.50 last week."
Employee: "Okay. The total you still owe is $38.25."
Here the customer prepaid 70% of total cost of $127.50 last week and the employee need to replay how much amount the customer still owe is. To find out the total amount the customer still owes after prepaying 70% of the total cost of $127.50,
Calculate the prepaid amount: 70% of $127.50 = 0.7 * 127.50 = $89.25Subtract the prepaid amount from the total cost: $127.50 - $89.25 = $38.25So the total amount the customer still owe is $38.25.
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Can someone help me with this ?
Answer:
50
Step-by-step explanation:
12x + 15 = 5x + 85 {Subtract 15 from both sides}
12x + 15 - 15 = 5x + 85 - 15
12x = 5x + 70 {Subtract 5x from both sides}
12x - 5x = 70
7x = 70 {Divide both sides by 7}
x = 70/7
x = 10
∠U = 5x = 5*10 = 50
given you have declared an array as int ar[45][14][10][10][43][50]; and you are accessing it at ar[29][1][3][0][17][20]; what is the equivalent single dimensional index?
The resulting index value represents the position of the desired element in a hypothetical one-dimensional array formed by collapsing all the dimensions of the original multidimensional array into a single dimension.
The equivalent single-dimensional index for accessing the element ar[29][1][3][0][17][20] in the array int ar[45][14][10][10][43][50] can be calculated as follows:
First, we need to determine the number of elements before the desired element in each dimension. Starting from the outermost dimension:
The size of the first dimension is 45, so there are 45 elements in each block of size 14x10x10x43x50.
The size of the second dimension is 14, so there are 14 elements in each block of size 10x10x43x50.
The size of the third dimension is 10, so there are 10 elements in each block of size 10x43x50.
The size of the fourth dimension is 10, so there are 10 elements in each block of size 43x50.
The size of the fifth dimension is 43, so there are 43 elements in each block of size 50.
The size of the sixth dimension is 50.
To calculate the equivalent single-dimensional index, we multiply the number of elements in each dimension by the respective size of the block and sum them all together. In this case, it would be:
Index = (29 * (14 * 10 * 10 * 43 * 50)) + (1 * (10 * 10 * 43 * 50)) + (3 * (10 * 43 * 50)) + (0 * (43 * 50)) + (17 * 50) + 20
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assume c is a circle centered at the origin, oriented counterclockwise, that encloses disk r in the plane. complete the following steps for the vector field f=2x,2y. a. calculate the two-dimensional curl of f. b. calculate the two-dimensional divergence of f. c. is f irrotational on r? d. is f source free on r? question content area bottom part 1 a. the two-dimensional curl of f is enter your response here
According to the question c is a circle centered at the origin, oriented counterclockwise, that encloses disk r in the plane The two-dimensional curl of the vector field \(\(f = 2x, 2y\) is \(0\)\).
To calculate the curl of a vector field, we use the formula \(\(\text{curl}(f) = \frac{\partial f_y}{\partial x} - \frac{\partial f_x}{\partial y}\)\).
For the given vector field \(\(f = 2x, 2y\)\), the partial derivatives are
\(\(\frac{\partial f_y}{\partial x} = 0\) and \(\frac{\partial f_x}{\partial y} = 0\)\).
Substituting these values into the curl formula, we have \(\(\text{curl}(f) = 0 - 0 = 0\)\).
Therefore, the two-dimensional curl of the vector field \(\(f = 2x, 2y\) is \(0\)\).
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Find the value of x and y.Please help!
The value of x and y in the right angle triangle are 6 units and 10.4 units.
How to find side of a right triangle?The sides of a right triangle can be found as follows:
using trigonometric ratio,
sin 60 = opposite / hypotenuse
sin 60 = y / 12
cross multiply
y = 12 sin 60
y = 10.3923048454
y = 10.4 units
Therefore,
cos 60 = adjacent / hypotenuse
cos 60 = x / 12
x = 12 cos 60
x = 6 units
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So we conclude that x measures 6 units and y measures 10.39 units.
How to find the value of x and y?
Here we have a right triangle.
x is the adjacent cathetus to the shown angle, and y is the opposite cathetus. We can see that the hypotenuse measures 12.
Then using trigonometric relations we get:
y = sin(60°)*12 = 10.39x = cos(60°)*12 = 6So we conclude that x measures 6 units and y measures 10.39 units.
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Loudres plans to jog at least 1.5 miles. write and solve an inequality to find x, the number of hours lopudres bwill have to jog.
The number of hours lopudres will have to jog is .4 hours.
Lord wants to run at least 1.5 miles, and her pace is shown in the picture as 3.75 miles per hour, and the question asks us to construct an inequality expressing x for the amount of hours she would have to run. To meet this inequality, we'll need to apply how quickly or how many miles she wants to cover with how fast she's going to run, so we'll divide 1.5 miles by her rate of 3.75 miles per hour, and when you divide you'll get a number of hours, which comes out to 0.4 hours.
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The graph below represents which system of inequalities? (2 points)
graph of two infinite lines that intersect at a point. One line is dashed and goes through the points 0, 2, negative 2, 0 and i
y < −2x + 6
y ≤ x + 2
y ≤ −2x + 6
y < x + 2
y < 2 over 3 x − 2
y ≥ 2x + 2
None of the above
Answer:
Step-by-step explanation:
none of the above
y = x + 1 y = − 4x − 4
Answer:
2y=3x=-4
Step-by-step explanation:
grouping like terms
y+ly =4x-x=-4
2y=3x=-4
Question 14 > Suppose f(x) = 3x - 1. Compute each of the following. f(3 + 1) = f(3) + f(1) = f(3-1) = f(3) = f(1) = f(3-1) = f(3) f(1) =
When computing the given expressions for f(x) = 3x - 1, we find that f(3 + 1) = 15, f(3) + f(1) = 8, f(3-1) = 5, f(3) = 8, f(1) = 2, and f(3-1) = 5.
To find f(3 + 1), we substitute the value of 3 + 1 into the expression for f(x): f(3 + 1) = 3(3 + 1) - 1 = 12 - 1 = 11.
Next, to calculate f(3) + f(1), we substitute the values of 3 and 1 into the expression for f(x) separately and add them together: f(3) + f(1) = (3 * 3 - 1) + (3 * 1 - 1) = 8.
For f(3-1), we substitute the value of 3 - 1 into the expression for f(x): f(3-1) = 3(3-1) - 1 = 5.
Since f(3) and f(1) are both defined as 3x - 1, they have the same value: f(3) = f(1) = 8.
Finally, to compute f(3) f(1), we multiply the values of f(3) and f(1) together: f(3) f(1) = (3 * 3 - 1)(3 * 1 - 1) = 5.
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Which shows the sides in order from longest to shortest? Line segment P Q, line segment R Q, line segment R P Line segment R Q, Line segment P Q, line segment P Q Line segment R Q, line segment R P, line segment P Q Line segment R P, line segment P Q, line segment R Q
Answer:
B
Step-by-step explanation:
a department store gets an average of 16 calls in a 2 hour time period. what is the probability that the department store will get at most 3 calls in a 55 minute period? round the final answer to three decimal places.
The probability that the department store will get at most 3 calls in a 55 minute period is 0.066
The Poisson distribution is a discrete probability function that means the variable can only take specific values in a given list of numbers, probably infinite. A Poisson distribution measures how many times an event is likely to occur within “x” period of time.
It is given that a department store gets an average of 16 calls in a 2 hour or 161055 = 223 calls per minute
Find the probability by Poisson distribution with parameter
λ = 223
P(X = x) = λˣе - λx!
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= (223)⁰е - 223(0!) +(223)¹е - 223(1!) +(223)²е - 223(2!) +(223)³е - 223(3!)
= 0.0006 + 0.004 + 0.018 + 0.043
P(X ≤ 3) ≈ 0.066
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How do i write an equation in slope intercept form if they give you the slope and what it has to pass through. I totally forgot how to do this
Answer:
y=mx+b
Step-by-step explanation:
The m=slope. The x is just there, and the b=the line it passes through
BRAINLIEST PLS
when conducting a statistical hypothesis test, what is it that we are actually doing?
O Determining whether the research hypothesis is true O Evaluating the direction of the research hypothesis O Falsifying the null hypothesis O Specifying a probability that H, is equal to zero
Answer: 12
Step-by-step explanation:
Calcilate the fusere valo of 57,000 in 2. 5 years at an interest rale of \( 5 \% \) per year. b. 10 year at an irterest rate of \( 5 \% \) per year e. 5 years at an irterest rate of 10 h per year. a.
Answer:
Step-by-step explanation: I am sorry but i don't understand a single thing:(
help 6,000 ÷ 20 - 34 × 8 + 12 ×9
Pls help I have 10 minutes
Answer:
-5p (11p-8p+7p-15p = 4 terms)
100 - 100m 5 terms
-4.1n^3 + 3.6 a^2 + 1.4a. 4 terms
26 x^2y - 22 x y^2. 2 terms (can’t be combine)
Step-by-step explanation:
for the curve r(t), write the acceleration in the form atT+anN. r(t)=(9sin(5t/9)+2)i+(9cos(5t/9)-7)j+12tk
A) a=25T
B) a=25N
C) a=25T+25N
D) a=T+25N
The acceleration vector can be written as a = (25/9)T + 0N, or simply a = (25)T. (option a).
To find the acceleration, we need to take the second derivative of the position vector r(t) with respect to time, which represents the rate of change of velocity. Let's start by finding the first derivative of r(t):
r'(t) = (d/dt)(9sin(5t/9) + 2)i + (d/dt)(9cos(5t/9) - 7)j + (d/dt)(12t)k
The unit tangent vector T is defined as the normalized version of the velocity vector, which is r'(t)/||r'(t)||. To find T, we calculate the magnitude of r'(t) and normalize it:
||r'(t)|| = √((25/9)²(sin²(5t/9) + cos²(5t/9))) = √((25/9)²) = 25/9
Therefore, the unit tangent vector T is given by:
T = r'(t) / ||r'(t)|| = [(25/9)(-sin(5t/9))i - (25/9)(cos(5t/9))j] / (25/9) = (-sin(5t/9))i - (cos(5t/9))j
The unit normal vector N is perpendicular to the unit tangent vector T and is given by N = (cos(5t/9))i - (-sin(5t/9))j, or simplifying it, N = (cos(5t/9))i + (sin(5t/9))j.
Now, we can express the acceleration vector in the form atT + anN by taking the dot product of r''(t) with T and N:
aT = r''(t) · T = (25/9)(-sin(5t/9))(-sin(5t/9)) + (25/9)(cos(5t/9))(-cos(5t/9)) = 25/9
aN = r''(t) · N = (25/9)(-sin(5t/9))(cos(5t/9)) + (25/9)(cos(5t/9))(sin(5t/9)) = 0
Therefore, the correct answer is: A) a = 25T
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Descriptive statistics uses the data to make inferences and predictions about a population based on a sample of data taken from the population in question.
a) true
b) false
False because descriptive statistics doesn't make any prediction, but inferential statistics make predictions about a population based on a sample of data taken from the population.
Descriptive statistics are informational coefficients that summarize a given data set, but they can't make predictions about the population based on a sample of data for the example is chart or graph.
It has differences from Inferential statistics which allow you to test a hypothesis or prediction from the data. The prediction is made by collecting the sample of data which is taken from the population such as calculating the z-score or ANOVA test.
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unit 7 polygons and quadrilaterals test answers
The polygons and quadrilaterals are discussed above.
What is a 2 - D shape?A two dimensional shape is a collection of points enclosed by a one dimensional line.
Given are the polygons and quadrilaterals.
Since the polygons and quadrilaterals are not given , we will learn about their respective properties.
Polygons →In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges. The points where two sides meet are the vertices (or corners) of a polygon.
The sum of interior angles of a polygon with “n” sides = 180°(n-2).Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n.Quadrilaterals →Quadrilateral is a polygon that has 4 straight sides and 4 angles.
Area : ½ x diagonal x (sum of perpendicular heights)Perimeter : sum of sides of the quadrilateralNumber of vertices : 4Number of edges : 4Internal angle : 90° (for square and rectangle)Sum of interior angles : 360°Therefore, the polygons and quadrilaterals are discussed above.
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What's 100 x 2000 x 2 x 1.45 x 5 x 7 x 78345 x 0?
Answer: the answer is 0
Step-by-step explanation: anything multiplied with 0 has an answer of 0
I NEED HELP
Algebra 2
Carson bought a coat for 40% off the original price. The store was having an additional sale that offered another 15% off the discounted price. If the coat originally cost $149, what was the final sale price that Carson paid? What was the 40% discount?
determine whether the geometric series is convergent or divergent.
A geometric series is a sequence of numbers in which each term is found by multiplying the previous term by a constant called the common ratio. To determine whether a geometric series is convergent or divergent, we need to examine the value of the common ratio.
1. If the absolute value of the common ratio (|r|) is less than 1, the geometric series is convergent.
- Example: Consider the series 2 + 4 + 8 + 16 + ...
The common ratio is 4/2 = 2. Since |2| is greater than 1, the series is divergent.
2. If the absolute value of the common ratio (|r|) is equal to 1, the geometric series is divergent.
- Example: Consider the series 3 - 3 + 3 - 3 + ...
The common ratio is -3/3 = -1. Since |1| is equal to 1, the series is divergent.
3. If the absolute value of the common ratio (|r|) is greater than 1, the geometric series is divergent.
- Example: Consider the series 5 + 10 + 20 + 40 + ...
The common ratio is 10/5 = 2. Since |2| is greater than 1, the series is divergent.
To summarize, a geometric series is convergent if |r| is less than 1 and divergent if |r| is equal to or greater than 1. Remember to always check the value of the common ratio to determine the convergence or divergence of a geometric series.
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3(3x + 4) – 5 = -2 what does x equal
Answer:
x=-1
Good Luck!!!
Answer:
9x+12-5=-2
9x+7=-2
9x=-2-7
9x=-9
×=-1
Step-by-step explanation:
the circumference of a circle is found to be 188.4 cm. find the radius of the circle. include units in your answer.
the radius of the circle is 30 cm when the circumference is 188.4 . The length of the boundary is its circumference.
what is circumference ?A boy has traveled a certain distance if, after sprinting around the park once, he arrives at point "A" from point "A" in the first place. The park's circumference, which has the shape of a circle, is the length or border that it encompasses. The length of the boundary is its circumference.
calculation
Circumference=2πr
188.4=2×3.14×r
188.4=6.28×r
r= 188.4/6.28
radius=30cm
the radius of circle is 30 cm when the circumference is 188.4 .
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(7g - 6) - (-3n - 4) find the difference and show your work. Please this is due tomorrow
Answer:
7g + 3n - 2
Step-by-step explanation:
(7g - 6) - (-3n - 4)
7g - 6 + 3n + 4
7g + 3n - 2
I hope this helps!
Women make up 5% of all film directors. There are 1,300 film directors working. How many women are directing films?
65
26
5
50
Answer:
65
Step-by-step explanation:
5% = 0.05
0.05 x 1300 = 65
A company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". Which of the following statements is true? She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The rcent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.
The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:
Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:
She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.
To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:
S(n) = 70000(1.2)
S(n) = 84000
The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)
S(1) = 84000
The percent increase of her salary is: S(n) = 70000(1.2)n
S(n) - S(n-1) / S(n-1) × 100%
S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%
S(n) - S(n-1) / S(n-1) × 100% = 20%
Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.
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Sections taken through the narrow width of an entire building are known as ______________________________ sections.
Sections taken through the narrow width of an entire building are known as transverse sections.
What is building?A building is an enclosed structure with a roof and walls standing more or less permanently in one place, such as a house or factory.
Given is a structural analysis blank statement as -
"Sections taken through the narrow width of an entire building are known as __________ sections.
Sections taken through the narrow width of an entire building are known as transverse sections. Those through the long dimension are known as longitudinal sections.
Therefore, Sections taken through the narrow width of an entire building are known as transverse sections.
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Drag the point on the coordinate plane to the solution of the system of equations shown below: y=-2x-1 y = x + 2
Answer:
(1,-1)
Step-by-step explanation:
-2x-1 = x+2
-3x = 3
x = -1
substitute
y = (-1) + 2
y = 1
point: (1,-1)
HELP PLSS I NEED THE ANSWERS ASAP PLSSS :((
Answer:
132 km :)))))))))))))))
Step-by-step explanation:
The Hint said to find the two things in comparison
they are:
99km----------→9litXkm----------→12litcross multiply the two equations
=99km*12lit=9lit*Xkm
=1188lit/km=9Xlit
note;
liters will annul liters
hence,
X=1188km/9
X = 132km
is the final answer