School taxes for a local district are 2.5% of a households income if you ears 80,000 peryear how much do you pay in school taxes
Final answer:
To calculate school taxes for a household earning an annual income of $80,000 at a tax rate of 2.5%, multiply the income by the rate. The household would pay $2,000 in school taxes.
Explanation:
If a household earns an annual income of $80,000 and the school taxes are 2.5% of the income, the amount paid in school taxes can be calculated by multiplying the income by the tax rate. Here's the calculation:
Tax Amount = Income × Tax Rate
Tax Amount = $80,000 × 0.025
Tax Amount = $2,000
Therefore, a household that earns $80,000 per year would pay $2,000 in school taxes.
What is the difference between rational functions and inverse variation
Rational functions are functions that can be written as the ratio of two polynomial functions, while inverse variations are a type of rational function where the product of two varying quantities is a constant.
Explanation:A rational function is any function that can be written as the ratio of two polynomial functions. Both the numerator and the denominator are polynomials. For example, f(x) = (2x^2 + 3)/(x - 5) is a rational function where 2x^2 + 3 and x - 5 are polynomial functions.
On the other hand, an inverse variation, or inverse proportion, is a specific type of rational function where the product of two varying quantities is a constant. It is in the form of y = k/x, where k is a nonzero constant. For example, if y varies inversely as x, then the product of x and y is constant, which means xy = k.
To summarize, all inverse variations are rational functions since they can be expressed as a ratio of two polynomials. However, not all rational functions are inverse variations since not all can be written in the form y = k/x.
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The number of bagels sold daily for two bakeries is shown in the table.
Bakery A Bakery B
15 15
52 16
51 34
33 35
57 12
12 9
45 36
46 17
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below
It's better to describe the center of distribution in Bakery A using the mean because the data is symmetric, while for Bakery B, the median is preferred due to asymmetric data.
To determine whether it's better to describe the centers of distribution in terms of the mean or the median for each bakery, we need to consider the shape of the data distribution.
For Bakery A:
- The data appears to be relatively symmetric, with values ranging from 34 to 61.
- There are no extreme outliers that significantly skew the data.
For Bakery B:
- The data is not symmetric; there is a wide range of values from 10 to 57.
- There is a notable outlier (10) that is much lower than the rest of the data.
Given these observations:
- For Bakery A, since the data is symmetric and there are no significant outliers, the mean (average) would be an appropriate measure of the center.
- For Bakery B, because the distribution is not symmetric and there is a significant outlier, the median (middle value) would be a more robust measure of the center.
So, the correct answer is:
C) Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric.
Complete Question:
The number of bagels sold daily for two bakeries is shown in the table:
Bakery A 45 52 51 48 61 34 55 46
Bakery B 48 42 25 45 57 10 43 46
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
A) Mean for both bakeries because the data is symmetric
B) Median because the distribution is not symmetric for both bakeries
C) Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric
D) Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric
The correct answer is B): Median because the distribution is not symmetric for both bakeries.
Let's first calculate the mean and median for each bakery:
Bakery A:
Data: 45, 52, 51, 48, 61, 34, 55, 46
Mean (average):
[tex]\[ \text{Mean} = \frac{45 + 52 + 51 + 48 + 61 + 34 + 55 + 46}{8} = \frac{392}{8} = 49 \][/tex]
Median (middle value):
Arrange the data in ascending order: 34, 45, 46, 48, 51, 52, 55, 61
[tex]\[ \text{Median} = \frac{48 + 51}{2} = 49.5 \][/tex]
For Bakery A, the mean is 49 and the median is 49.5. The median (49.5) is slightly higher than the mean (49), indicating a slight right skew in the data.
Bakery B:
Data: 48, 42, 25, 45, 57, 10, 43, 46
Mean (average):
[tex]\[ \text{Mean} = \frac{48 + 42 + 25 + 45 + 57 + 10 + 43 + 46}{8} = \frac{316}{8} = 39.5 \][/tex]
Median (middle value):
Arrange the data in ascending order: 10, 25, 42, 43, 45, 46, 48, 57
[tex]\[ \text{Median} = \frac{43 + 45}{2} = 44 \][/tex]
For Bakery B, the mean is 39.5 and the median is 44. The mean (39.5) is lower than the median (44), indicating a left skew in the data.
Bakery A: The median (49.5) is slightly higher than the mean (49), suggesting a slight right skew. Given this slight skewness, the median might be a better measure of central tendency for Bakery A.
Bakery B: The mean (39.5) is noticeably lower than the median (44), indicating a left skew. Therefore, the median would likely be a better measure of central tendency for Bakery B.
Based on this analysis, the correct answer is B): Median because the distribution is not symmetric for both bakeries.
Complete Question:
The number of bagels sold daily for two bakeries is shown in the table:
Bakery A 45 52 51 48 61 34 55 46
Bakery B 48 42 25 45 57 10 43 46
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
A) Mean for both bakeries because the data is symmetric
B) Median because the distribution is not symmetric for both bakeries
C) Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric
D) Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric
How many ounces of a 35% alcohol solution must be mixed with 10ounces of 40% alcohol solution to make a 37% alcohol solution?
simplify (2/9)^3
A. 8/729
B. 6/9
C. 2/729
D. 8/9
No guessing please
The volume of a cube is found using the formula l3, where l is the side length. What is the volume of a cube, in cubic feet that is 3/5 of a foot long
What impact does negative rational numbers have on whether you add or subtract rational numbers
Pleaseee help. The longer base of an isosceles trapezoid measures 23 ft. The nonparallel sides measure 9ft, and the base angle measure 80 degrees. Find the length of a diagonal.
Gary used candle molds, as shown below, to make candles that were perfect cylinders and spheres: A cylindrical mold is shown, the radius of the top circular section of the cylinder is labeled 2 inches and the height of the cylinder is labeled as 4 inches. On the right side of this mold is a spherical mold. The radius of this spherical mold is labeled as 2 inches. What is the approximate difference in the amount of wax needed to make a candle from each of these molds? Use π = 3.14.
16.75 cubic inches
20.93 cubic inches
24.25 cubic inches
33.49 cubic inches
Help me Please!! Ive got a deadline!! Thanks! (:
If a single card is selected from a standard deck of 52 cards, what are the odds in favor of selecting an ace
The perimeter of a rectangular painting is 332 centimeters. if the length of the painting is 92 centimeters, what is its width?
The number of bees that visit a plant is 500 times the number of years the plant is alive where t represents the number of years the plant is alive. What does the expression 500t represent
Super-yummy soup, inc. wants to paint their entire soup can red, including the top and bottom. if the diameter of the lid is 5 cm, and the height of the can is 9 cm, what is the approximate total surface area that will need to be painted?
The total surface area of the soup can would be equivalent to the sum of the surface area of the 2 covers plus the surface area of the side.
Surface area of the 2 covers = 2 π r^2
Surface area of the 2 covers = 2 π (2.5 cm)^2
Surface area of the 2 covers = 39.27 cm^2
Surface area of the side = 2 π r h
Surface area of the side = 2 π (2.5 cm) (9 cm)
Surface area of the side = 141.37 cm^2
Total surface area = 39.27 cm^2 + 141.37 cm^2
Total surface area = 180.64 cm^2
You deposit $70 in a savings account that pays an annual interest rate
of 3%. How much simple interest would you earn in 2.5 years?
Simplify the expression
4m+5−3m
I have been stuck on this for a long time >.
Simplified form of the expression 4m+5−3m:
m + 5
Expression : Degree of m is 1 , so the expression is linear.
Given , that expression: 4m+5−3m
Now to simplify the expression,
⇒ 4m + 5 − 3m
Combine like terms,
⇒ (4m - 3m) + 5
⇒ m + 5
Thus the simplified form is m + 5 .
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Find the first six terms of the sequence.
a1 = -1, an = 2 • an-1
Answer:
The first six terms of the sequence are: -1, -2, -4, -8, -16 and -32
Step-by-step explanation:
The sequence is:
[tex]a_1=-1\\a_n=2*a_{n-1}[/tex]
So, for finding the first six terms of the sequence, we need to replace n by the numbers 1 to 6 and we get:
[tex]a_1=-1\\a_2=2*a_{2-1} =2*a_1\\a_3=2*a_{3-1} =2*a_2\\a_4=2*a_{4-1} =2*a_3\\a_5=2*a_{5-1} =2*a_4\\a_6=2*a_{6-1} =2*a_5\\[/tex]
That means that the term n is 2 times the last term. Then, replacing the values of [tex]a_1, a_2, a_3, a_4[/tex] and [tex]a_5[/tex], we get:
[tex]a_1=-1\\a_2=2*(-1)=-2\\a_3=2*(-2)=-4\\a_4=2*(-4)=-8\\a_5=2*(-8)=-16\\a_6=2*(-16)=-32\\[/tex]
So, The first six terms of the sequence are: -1, -2, -4, -8, -16 and -32
When a ball is dropped from a state of rest at time t=0t=0, the distance, measured in feet, that it has traveled after tt seconds is given by the formula s(t)=16t2s(t)=16t2 . (use decimal notation. if necessary, give your answer rounded to two decimal places.) (a) how far does the ball travel during the time interval [3, 3.5 ]? distance = .5 feet (b) compute the average velocity over the time interval [3, 3.5 ]. average velocity = 104 feet/sec (c) by computing the average velocity over the time intervals [3, 3.1 ], [3, 3.01 ], and [3, 3.001 ], . . . , estimate the ball's instantaneous velocity at t=3t=3. instantaneous velocity = feet/sec?
Part A. To solve for the distance travelled during the interval, all we have to do is to plug in values of t = 3 and t = 3.5 in the equation and the difference would be the answer:
when t = 3: s = 16 (3)^2 = 144 m
when t = 3.5: s = 16 (3.5)^2 = 196 m
Therefore the distance travelled within the interval is:
196 m – 144 m = 52 m
Part B. The velocity is calculated by taking the 1st derivative of the equation. v = ds / dt
s = 16 t^2
ds / dt = 32 t = v
when t = 3: v = 32 (3) = 96 m / s
when t = 3.5: v = 32 (3.5) = 112 m / s
Therefore the average velocity is:
(96 + 112) /2 = 104 m / s
Part C. We can still use the formula v = 32 t and plug in the value of t = 3
v = 32 t = 32 (3)
v = 96 m / s
To calculate the distance and velocities for the ball in question, we use the formula s(t)=16t^2, calculate differences, and use limits as the intervals approach an instant.
Explanation:The formula s(t)=16t2 gives the distance s(t) in feet that a ball has traveled after t seconds when dropped from a state of rest. To find the distance during the time interval [3,3.5], we calculate s(3.5) and s(3), and then find the difference: s(3.5) = 16 × (3.5)2 and s(3) = 16 × (3)2.
The average velocity over the interval [3,3.5] is the change in distance divided by the change in time, which is computed as ∆ s/ ∆ t.
For the instantaneous velocity at t=3, we compute the average velocities over smaller and smaller intervals approaching the instant t=3. As these intervals become smaller, the average velocity approaches the instantaneous velocity.
using the diagram what is the intersection of plane ABCD and gc
If the telescope is 1 m deep and 8 m wide, how far is the focus from the vertex?
1
2
4
16
Find the vertex, focus, directrix, and focal width of the parabola.
negative 1 divided by 12 times x squared = y
CAN SOMEONE HELP ME WITH NUMBER 9!!!
In physics, if a moving object has a starting position at s 0, an initial velocity of v 0, and a constant acceleration a, then the position S at any time t > 0 is given by:
S = at 2 + v 0 t + s 0.
Solve for the acceleration, a, in terms of the other variables. For this assessment item, you can use ^ to show exponents and type your answer in the answer box, or you may choose to write your answer on paper and upload it.
Step-by-step explanation:
The equation of a moving object in physics is given by :
[tex]s=at^2+v_ot+s_o[/tex]...........(1)
Where
s₀ is the starting position of an object
a is the acceleration of the object
v₀ is the initial velocity of the object
t is the time taken
We need to find the value of acceleration by rearranging equation (1). Subtract [tex](v_ot+s_o)[/tex] on both sides of equation (1) as :
[tex]s-v_ot-s_o=at^2[/tex]
Divide both sides of above equation by t² as :
[tex]a=\dfrac{s-v_ot-s_o}{t^2}[/tex]
So, the value of acceleration is [tex]\dfrac{s-v_ot-s_o}{t^2}[/tex]. Hence, this is the required solution.
A bus travels at an average speed of 65 miles per housr. how many miles foes the bus travel in 4.5 hours?
The reciprocal is also called the _____.
a) multiplicative identity
b) multiplicative inverse
Answer:
multiplicative inverse
Step-by-step explanation:
hope it helps
The graph below represents which system of inequalities? graph of two infinite lines that intersect at a point. One line is solid and goes through the points 0, 2, negative 2, 0 and is shaded in below the line. The other line is dashed, and goes through the points 0, 6, 3, 0 and is shaded in below the line.
Answer:
its answer d
Step-by-step explanation:
What is the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1)?
Final answer:
The value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1) is -2. This is determined by simplifying and solving the given expression for n.
Explanation:
To find the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1), we need to simplify and solve for n. First, we distribute the negative sign and the 4 into the parentheses and then combine like terms:
-2n - 4 + 6 = -9 + 8n + 4
Now, we combine the constants:
-2n + 2 = -5 + 8n
To isolate n, we move all the terms involving n to one side and the constants to the other:
-2n - 8n = -5 - 2
-10n = -7
Finally, we divide by -10 to solve for n:
n = ⅔
Thus, the value of n is -2.
The graph of f(x) = x2 is shifted 3 units to the right to obtain the graph of g(x). Which of the following equations best describes g(x)?
a. g(x) = (x + 3)2
b. g(x) = x2 − 3
c. g(x) = x2 + 3
d. g(x) = (x − 3)2
Answer: Option 'd' is correct.
Step-by-step explanation:
Since we have given that
[tex]f(x) = x^2[/tex]
We need to shift the function f(x) 3 units to the right to obtain the graph of g(x).
As we know that shifting right is the horizontal shift.
And f(x-h) = g(x) , here f shift right h units.
so, After shifting 3 units right, we get that
[tex]g(x)=(x-3)^2[/tex]
Hence, Option 'd' is correct.
The giraffes at the Liberia zoo eat 75 pounds of food per day, and 52.5 pounds per day comes from acacia leaves. How much of their diet comes from other types of leaves?Julia, the zookeeper, used the equation 52.5 + x = 75 to find the answer. Which equation is an equivalent equation that can be used to solve the problem?
Answer:
C is the answer.
Step-by-step explanation:
52.5 + 75 = x
x + 75 = 52.5
75 – 52.5 = x
x – 52.5 = 75
If two opposite sides of a quadrilateral are parallel and congruent then the quadrilateral is a parallelogram true or false
Solve by factoring c^2=5c
The solutions to the equation c² = 5c are c = 0 and c = 5.
We have,
To solve the equation c² = 5c by factoring,
we can rearrange it as:
c² - 5c = 0
Then we can factor out the common factor of c, giving:
c(c - 5) = 0
Now we can apply the zero product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be zero.
So we have:
c = 0 or c - 5 = 0
Solving for c in each case, we get:
c = 0 or c = 5
Therefore,
The solutions to the equation c² = 5c are c = 0 and c = 5.
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