Her new total would be $611.27.
What do you call the total cost plus tax?Customer payment is the net price. Start by adding all applicable taxes and other mandatory fees to the list price to determine the net price. After that, take away any refunds, discounts, or pricing that were negotiated. Net price is the outcome.
Part A: Without the coupon, the price of the television and wall mount is:
$700 + $19.99 = $719.99
Following the application of the 30% coupon, the lowered price is:
$719.99 * 0.7 = $503.99
Jamie's subtotal would be $503.99 as a result.
Part B: We must first determine the tax amount in order to determine the total cost including tax. This would be the tax on the subtotal:
$503.99 * 0.07 = $35.28
Jamie's final total after adding the tax to the subtotal would be:
$503.99 + $35.28 = $539.27
Her final sum would therefore be $539.27.
Part c: Before the discount, the original purchase price was:
$700 + $19.99 = $719.99
10% of the purchase price's initial amount is:
$719.99 * 0.1 = $72
After applying the coupon, the price would be reduced to:
$719.99 * 0.7 = $503.99
Jamie's revised total after adding the tax to the discounted price would be:
$503.99 + $35.28 = $539.27
The final figure is Jamie's revised total after including the tip:
$539.27 + $72 = $611.27
Her new total would be $611.27 as a result.
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Which expression is equivalent to 3(m+2)-4(2m-9)?
Which electric circuit arrangement will light the bulb?
Answer: Both the metal casing and tip of the bulb are connected to the circuit, forming a closed circuit. Thus, electricity is able to flow through the wires in the circuit to the filament, allowing the bulb to light up.
Jada measures the changes in her dog's weight over the entire year. She weighs her dog every 3 months and records
the results.
January-March: +2.125
April-June: -3 1/4
July-September: -1/2
October-December: +0.875
If Jada’s dog weighed 55.75 pounds at the beginning of the year, what is the dogs weight at the end of the year?
The net weight of Jada's at the end of the year is the sum of his initial weight and the change in weight recorded, which is : 55 pounds
January-March: +2.125April-June: -3.25July-September: - 0.5October-December: +0.875Initial weight = 55.75Net weight of the dog can be expressed thus :
55.75 + 2.125 + (-3.25) + (-0.5) + 0.875 55.75 + 2.125 - 3.25 - 0.5 + 0.875 = 55Therefore, the dog's weight at the end of the year is 55 pounds.
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Answer:
Step-by-step explanation:
∂²p/∂r² + 1/r ∂p/∂r = ϕμC/k ∂p/∂t
derivation of equations
1-partial derivative diffusivity equation spherical flow
2- partial derivative diffusivity equation hemi- spherical flow
The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.
1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.
These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.
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A hotel reservation number consists of 5 digits, followed by 1 letters, followed by 3 digits. How many different reservation numbers are possible?
There are 10 possible digits and 26 possible letters.
To find the answer to this problem we have to multiply 9 as many digits has the hotel reservation number and 26 as many letters it has.
It means:
\(9\cdot9\cdot9\cdot9\cdot9\cdot26\cdot9\cdot9\cdot9=1,119,214,746\)There are 1,119,214,746 possible reservation numbers.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Answer:
480y
Step-by-step explanation:
multiply 6 x 8 x 60= 480
The length of the legs of a right triangle
are 6 inches and 12 inches. Find how
long the hypotenuse is to the nearest
tenth.
a. 12.4 in
b. 10.3 in
c. 180.0 in
d. 13.4 in
Answer:D
Step-by-step explanation:
Which expressions are equivalent to 8^x-2? Select all that apply.
(picture below)
Your friend claims that the equation of a line with a slope of 7 that goes through the point (0,-4) is y = -4x + 7
What did your friend mess up?
Answer:
y=7x-4 intercept 4
Step-by-step explanation:
Your friend made a mistake in the equation. The correct equation of a line with a slope of 7 that goes through the point (0, -4) is y = 7x - 4, not y = -4x + 7. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the slope is 7, so the equation should be y = 7x - 4, with a y-intercept of -4.
what is a quadratic trinomial
Answer: A quadratic trinomial is a degree 2 polynomial expression made up of three terms
Step-by-step explanation:
A quadratic trinomial is a degree 2 polynomial expression made up of three terms. A quadratic trinomial has the following generic form:
ax^2 + bx + c
where "a," "b," and "c" are constants and "x" is a variable. The quadratic term is represented by "ax2," the linear term by "bx," and the constant term by "c."
Select all that apply.
Which of the following represent the rule y = x + 2?
Answer:
the first option and the 4th option are the answers the other options are wrong
-4<3x+5<=11
Solve the inequalities
Answer:
-3<x</2
Step-by-step explanation: the slash is the line.
Which equation has no solution? A. X-5(x-4) = 2(2x + 7) + 6 B. 5(x + 1)-3x = 5-2(5-x) C. 1-3(x + 3) = 2(3x - 4) - 9x D. 3(x-4) + x = 4(3-x)
Answer:
B. 5(x + 1) - 3x = 5 - 2(5 - x)
Step-by-step explanation:
A. x - 5(x - 4) = 2(2x + 7) + 6 Distribute -5 into parentheses
x - 5x + 20 = 2(2x +7) + 6 Distribute 2 into parentheses
x - 5x + 20 = 4x +14 + 6 Combine like terms (I underlined it to show)
-4x + 20 = 4x + 20
+4x +4x Do Inverse operations
20 = 8x + 20
-20 - 20 Do inverse operations
0 = 8x
\(\frac{0}{8}\) = \(\frac{8x}{8}\) Divide by 8 on both sides to isolate the variable.
0 = x
Solution is x = 0.
B. 5(x + 1) - 3x = 5 - 2(5 - x) Distribute 5 into parentheses
5x + 5 - 3x = 5 - 2(5 - x) Distribute -2 into parentheses
5x + 5 - 3x = 5 - 10 + 2x Combine Like terms (I underlined the like terms)
2x + 5 = -5 + 2x
+ 5 +5 Do inverse operations
2x + 10 = 2x
-2x -2x Do inverse operations
10 ≠ 0
No solution
C. 1 - 3(x+3) = 2(3x - 4) - 9x Distribute -3 into parentheses
1 - 3x - 9 = 2(3x - 4) - 9x Distribute 2 into parentheses
1 - 3x - 9 = 6x - 8 - 9x Combine Like terms (I underlined the like terms)
- 8 - 3x = -3x - 8
+ 3x +3x Do inverse operations
- 8 = - 8
Solution = All real numbers
D. 3(x - 4) + x = 4(3 - x) Distribute 3 into parentheses
3x - 12 + x = 4(3 - x) Distribute 4 into parentheses
3x - 12 + x = 12 - 4x Combine Like terms (I underlined the like terms)
4x - 12 = 12 - 4x
+4x + 4x Do inverse operations
8x - 12 = 12
+ 12 +12 Do inverse operations
8x = 24
\(\frac{8x}{8}\) = \(\frac{24}{8}\) Divide by 8 on both sides to isolate the variable
x = 3
Solution is x = 3 .
So the only equation that has no solution is B. 5(x + 1) - 3x = 5 - 2(5 - x).
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 9,628(0.92)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:
r (number of years) 1 2 3 4
g(r) (amount in dollars) 8,972 8,074.80 7,267.32 6,540.59
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
The percentage given shows that the amount is decreasing by 8%.
How to illustrate the information?From the information given, the function is f(x) = 9,628(0.92)x. This illustrates that the amount is decreasing by 8% she compared to the previous year. This was computed as:
= 1 - 0.92
= 0.08
= 8%
For part B, the percentage change will be:
= (8,972 - 8,074.80)/8972 × 10
= 10%
Therefore, the account recorded a greater percentage change in amount of money over the previous year is account B as 20% is lore than 8%.
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The 22 students in a health class conducted an experiment in which they each recorded their pulse rates, in beats per minute, before and after completing a light exercise routine. The dot plots below display the results. Beats per minute before exercise Beats per minute after exercise Let and be the standard deviation and range, respectively, of the data before exercise, and let and r1 be the standard deviation and range, respectively, of the data after exercise. Which of the following is true?
A) s1 = s2 and r1 = r2
B) s1 < s2 and r1 < r2
C) s1 > s2 and r1 > r2 D) s1 ≠s2 and r1 = r2
The correct Answer is D
s1 = s2 and r1 = r2
The two data sets have the same range. The first data set has a range of 88 − 56 = 32, and the second data set has a range of 112 − 80 = 32.
What does standard deviation say about range?This relationship is sometimes referred to as the range rule for standard deviation. The range rule tells us that the standard deviation of a sample is approximately equal to one-fourth of the range of the data. In other words s = (Maximum – Minimum)/4.
Which is better range or standard deviation?The standard deviation is a more effective measure of variation than the range. Range of the data is a measure of variation which gives the difference in the maximum and the minimum observation of the dataset. It is only based on two observations, the maximum and the minimum.
Alternatively, it can be seen visually that the ranges are the same because the two dot plots are aligned, the scales of the graphs are the same, and the graphs have the same width. The two data sets have different standard deviations. Both dot plots show distributions that have a mean near the center value of the dot plot. The first dot plot shows most values clustered near the mean, while the second dot plot shows most values farther from the mean. Therefore, the standard deviations of the two data sets are not equal—the data represented by the second dot plot has a greater standard deviation.
Choices A, B, and C are incorrect because they incorrectly assert either that the standard deviations are the same or that the ranges are different.
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A side of a square garden is represented by the expression 2s + 5. Which expression represents the area of the garden?
Answer:
(2s + 5) × (2s + 5)or(2s + 5)²Step-by-step explanation:
A side of a square garden is represented by the expression 2s + 5. Which expression represents the area of the garden?
Area = s * s ( side x side or side²)
(2s + 5) * (2s + 5)
or
(2s + 5)²
Please help me with this homework
a certain dj takes requests for songs at a party. assume that there are 120 people at the party, each of whom makes exactly one request for a song. all of their requests are made independently. assume that each person asks for a pop song with probability 0.37, a rock song with probability 0.2, or a rap song with probability 0.43. what is the probability that 50 or more requests are made for pop songs?
the probability that 50 or more requests are made for pop songs is 0.0967, or about 9.67%.
Define binomial distributionThe binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.
We can use the binomial distribution to model this situation, where the number of trials is 120 (the number of people at the party), and the probability of success (making a request for a pop song) is 0.37. Let X be the number of requests for pop songs. Then:
The mean of X is μ = np = 120 x 0.37 = 44.4
The standard deviation of X is σ = sqrt(np(1-p)) = sqrt(120 x 0.37 x 0.63) = 4.32
To find the probability that 50 or more requests are made for pop songs, we can use the normal approximation to the binomial distribution, which applies when np >= 10 and n(1-p) >= 10.
Let Z be a standard normal random variable, then:
P(X >= 50) = P((X - μ)/σ >= (50 - μ)/σ)
= P(Z >= (50 - 44.4)/4.32)
= P(Z >= 1.2963)
= 1 - P(Z < 1.2963)
= 1 - 0.9033
= 0.0967
Therefore, the probability that 50 or more requests are made for pop songs is approximately 0.0967, or about 9.67%.
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Suppose that n balls are tossed into n bins, where each toss is independent and the ball is equally likely to end up in any bin. What is the expected number of empty bins
The expected number of empty bins when tossing n balls into n bins, with each toss being independent and equally likely, can be determined using the concept of probability.
Let's define the probability that a specific bin remains empty after n tosses as P(empty). Since each ball has n choices, there are n^n possible ways to distribute the balls. To find the probability that a specific bin is empty, we can consider the situation where balls can be tossed into the remaining n-1 bins, resulting in (n-1)^n possible distributions. Therefore, P(empty) = ((n-1)^n) / (n^n).
Now, to calculate the expected number of empty bins, we can use the concept of linearity of expectation. The expected value of the sum of random variables is equal to the sum of the expected values of the individual random variables. In this case, the random variables represent the empty status of each bin (1 if empty, 0 if not).
The expected number of empty bins is the sum of the probabilities of each bin being empty, which is n * P(empty). So, the expected number of empty bins = n * (((n-1)^n) / (n^n)).
Using this formula, you can determine the expected number of empty bins when n balls are tossed into n bins independently and with equal likelihood.
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In _____, a geographic information system (gis) is used to make the best use of personnel and equipment while dealing with a tight budget and maintaining crime statistics.
In goverment , a geographic information system (gis) is used to make the best use of personnel and equipment while dealing with a tight budget and maintaining crime statistics.
A good example of geographic segmentation is a clothing retailer that offers different products based on the weather and season in which their online customers live. Customers in New York need very different clothing during the winter months than customers in Los Angeles.
Geographic Sentence Example.Geographic isolation somewhat encourages state-owned industry I've been Living in the same geographical area all her life, she is exposed to only a small part of the biosphere. They laid a solid foundation with the publication of Charles Tissot's Geographical Comparisons (1884).
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What is the correct order of steps to solve 8 2(-x-5)=26?
Answer:
82(-x-5)=26
-82x-410=26
-410-26=82x
-436/82=x
x=-218/41
The integral 1 π(y2−y4) dy 0 represents the volume of a solid. Describe the solid.
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the y axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis
The correct option is (d). The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis
The difference between the areas beneath the two curves that form a boundary is the area between the curves. You will then have the area between the two curves, or the difference, between them.
In the cartesian coordinate system, a plane is divided into four areas by the X-axis, a horizontal line, and the Y-axis, a vertical line. The term "quadrant" refers to these four areas.Use washer method:The washer method enables us to use cylindrical discs with holes to compute the volume of solids in a rotation.
As we have mentioned, the washer method is an extension of the disk method. This technique is established so that we can also calculate for the volume of the solid returned by rotating the region bounded by two curves over the x and y axis.\($$\begin{aligned}& V=\int_a^b \pi\left(x_1^2-x_2^2\right) d y \\& =\int_0^1 \pi\left(y^2-\left(y^2\right)^2\right) d y \\& =\int_0^1 \pi\left(y^2-y^4\right) d y\end{aligned}$$\)
Therefore, the solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y² around the y axis.
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What is the slope of this line?
A) 1/5
B) -1/5
C) -5
D) 5
Answer:
The slope of this line is 1/5.
A is correct.
5(x - 1) and 5x - 1
is it equivalent
Answer:
no
Step-by-step explanation:
5(x - 1) = 5x - 5
5x - 1 = 5x - 1
No, it is not equivalent
The required, 5(x - 1) and 5x - 1 are not equivalent expressions.
Let's expand 5(x - 1):
5(x - 1) = 5 * x + 5 * (-1) = 5x - 5
On the other hand, 5x - 1 is already in its simplified form.
As you can see, the expressions 5(x - 1) and 5x - 1 have different forms. The first expression involves distributing the 5 to both terms inside the parentheses, while the second expression is already simplified and cannot be further combined.
For example, if we substitute x = 2 into both expressions, we get:
5(2 - 1) = 5 * 1 = 5
5 * 2 - 1 = 10 - 1 = 9
Since 5 and 9 are not equal, it confirms that the two expressions are not equivalent.
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how do i evaluate 2 into the 5th power
Answer:
Step-by-step explanation:
2 time 2 times 2 times 2 times 2
Step-by-step explanation:
Exponents are repeated multiplication of the number itself. So 2^5 power is saying that you are multiplying 2 5 times or 2×2×2×2×2.
Find the product of 51 and -2.5. Use the distributive property to rewrite and solve. The first step is done for you. 51(-2.0) + 51(-0.5) What is the next step in using the distributive property to solve this equation?
A. -102 + 25.5
B. 102 + (-25.5)
C. -102 + (-25.5)
D. -102 + (-25)
Answer:
A
Step-by-step explanation:
Answer:
Its actually -102 + (-25.5)
Step-by-step explanation:
I did the question
Find the length of side AC. Round to the nearest tenth
Answer:
AC ≈ 4.7 ft.
Step-by-step explanation:
GIVEN :-
Length of AB = 5 ftLength of AC = x ft∠A = 20°TO FIND :-
Value of 'x'FACTS TO KNOW BEFORE SOLVING :-
\(\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}\)
SOLUTION :-
Side adjacent to ∠A = AC = x
Hypotenuse = AB = 5 ft
⇒ \(\cos 20 = \frac{x}{5}\)
⇒ \(0.9396.... = \frac{x}{5}\)
⇒ \(x = (0.9396...) \times 5 = 4.6984....\) ≈ 4.7 ft
which of the following would be information in a question asking you to find the area of a region under the standard normal curve as a solution?
To find the area of a region under the standard normal curve, the following information would typically be provided in the question:
1. The specific boundaries or limits of the region: The question should provide the z-scores or values that determine the starting and ending points of the region of interest. For example, it could specify "Find the area under the standard normal curve between z = -1.5 and z = 2.0."
2. The type of region: The question might specify whether the desired area is for a specific tail (e.g., "Find the area to the left of z = 1.8") or for a specific interval (e.g., "Find the area between z = -0.5 and z = 1.2").
3. Clear instructions or context: The question should provide sufficient context or instructions to ensure a clear understanding of what area needs to be found. It could specify a particular percentage or probability associated with the region, or it could relate to a specific problem or scenario where finding the area under the standard normal curve is necessary.
By providing these details, the question enables you to determine the appropriate steps to calculate the area using methods such as z-tables, statistical software, or mathematical formulas.
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Answer need ASAP
Add -3 1/6 + 5 3/4 and write it as a reduced mixed number
-3 1/6 + 5 3/4 = ?
Answer: 2 5/6 I think.
Wait no. I just did the math and it would be 2 1/2
Clara's school is 7 miles west of her house and 3 miles south of her friend Scott's house. Every day, Clara bicycles from her house to her school. After school, she bicycles from her school to Scott's house. Before dinner, she bicycles home on a bike path that goes straight from Scott's house to her own house. How far does Clara bicycle each day? If necessary, round to the nearest tenth
Clara's school is 7 miles west of her house and 3 miles south of her friend Scott's house. Therefore, 5 miles far does Clara bicycle each day.
Given that:
Clara's school is 7 miles west of her house and
3 miles south of her friend Scott's house.
Total distance of Clara's house from her school is 7 miles
Therefore, distance walked by Clara's from home
= (7 - 3) miles
= 5 miles.
Therefore, After school, she bicycles from her school to Scott's house. Before dinner, she bicycles home on a bike path that goes straight from Scott's house to her own house. 5 miles far does Clara bicycle each day.
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