Answer:
the silver car because u have more gase ful to hold but wasting more money on gas for a full tank so i would suggest the blue car.
.Step-by-step explanation:
What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?
Answer:
8
Step-by-step explanation:
The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
What is a function?A relation is a function if it has only One y-value for each x-value.
The average rate of a function f(x) from x=a to x=b is given as:
= f(b)-f(a)/b-a
Clearly we are asked to find the average rate of change from x=0 to x=2.
i.e. a=0 and b=2
Also, from the graph it could be observed that:
f(0)=1
and f(2)=-3
=f(2)-f(0)/2-0
=-3-1/2
=-4/2
=-2
Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
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B4.1a) The diagram shows a triangle.
Not to scale
of
stion
Find the value of x
degrees
B4.1b) The diagram shows a triangle,
Why median is better than mean?
Median is better than mean as it is not affected by extremely high or low values in the same way that the mean is
The median is a measure of central tendency, like the mean, but it is not affected by extremely high or low values in the same way that the mean is. Because of this, the median is often a better measure of central tendency when there are outliers in the data, or when the data is skewed (not normally distributed). For example, consider the following set of numbers: 1, 2, 3, 100. The mean of these numbers is 26, but the median is 3, which is a better representation of the "typical" value in this set.
However, the mean is still a useful measure and has its own advantages. For example, the mean is sensitive to every value in the data set, so it can provide a more comprehensive summary of the data. Additionally, the mean is easier to work with mathematically than the median, so it is often used in statistical tests and calculations.
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is 5.1239 rational or irrational?
Answer:
is it a rational number
Step-by-step explanation:
if wrong pls forgive me
y = x + 2 in standard form
Answer: The answer is x-y = -2
You live near a bridge that goes over a river. The underneath side of the bridge is an arch that can be modeled with the function y 0.000495x 2 0.619x where x and y are in feet. How high above the river is the bridge (the top of the arch)? How long is the section of bridge above the arch? a. The bridge is about 193.52 ft above the river and the length of the bridge above the arch is about 625.25 ft b. The bridge is about 193.52 ft above the river and the length of the bridge above the arch is about 1250.51 ft c. The bridge is about 1250.51 ft above the river and the length of the bridge above the arch is about 193.52 ft d. The bridge is about 1250.51 ft above the river and the length of the bridge above the arch is about 625.25 ft
Answer:
The bridge is about 193.52 ft above the river and the length of the bridge above the arch is about 1250.51 ft
Step-by-step explanation:
The arch is represented by the equation
y = - .000495 x² + .619 x where x and y are in ft .
We can write this equation in the form
y = - a x² + bx
The vertex is on the line
x = b / 2a
= .619 / 2 x .000495
= 625.25
Putting the value in the equation above
y = - .000495 ( 625.25)²
= 193.51 ft
This value will give us the depth of river .
To know the width of bridge we shall have to solve the quadratic equation
- .000495 x² + .619 x = 0
x = [- .619 ± √ ( .619)² - 0] / 2 x .000495
= - .619 + 625.25 and
x = - .619 - 625.25
Difference = 625.25 x 2 = 1250 .51 ft.
So the width of the bridge will be 1250 .51 ft .
Naty used 91. 36 gallons of water over 2. 3 days what is the average amount of naty of water naty used?
Naty used an average of 39.72 gallons of water per day over 2.3 days.
To find the average amount of water Naty used per day, we divide the total amount of water used (91.36 gallons) by the total number of days (2.3 days). In this case, Naty used 91.36 gallons of water over 2.3 days. Plugging these values into the formula, we get: 91.36 gallons / 2.3 days = 39.72 gallons/day. The average is a measure of central tendency that represents the typical value in a set of data. It is calculated by adding up all the values in the data set and dividing by the number of values. This means that Naty used an average of 39.72 gallons of water per day.
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Construct a 90% confidence interval for the population mean you. Assume the population has a normal distribution a sample of 15 randomly selected math majors had mean grade point average 2.86 with a standard deviation of 0.78
The 90% confidence interval is: (2.51, 3.22)
Confidence interval :It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.
We have the following information :
Number of students randomly selected, n = 15.Sample mean, x(bar) = 2.86Sample standard deviation, s = 0.78Degree of confidence, c = 90% or 0.90The level of significance is calculated as:
\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)
The degrees of freedom for the case is:
df = n - 1
df = 15 - 1
df = 14
The 90% confidence interval is calculated as:
=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)
= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)
= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)
= 2.86 ± 0.3547
= (2.51, 3.22)
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Dan needs to buy some pencils. Brand A has a pack of 12 pencils for $3.29. Brand B has a pack of 28 pencils for $8.99 . Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
First, you have to find the unit price for each brand by dividing the pack price by the number of pencils in each pack.
Brand A: $3.29/12= $0.27
Brand B: $8.99/28= $0.32
With this information, you can say that the brand that is the better buy based on the unit price is Brand A because it has a cheaper price per unit.
a line that includes the point (1,2) has a slope of 9 What is the equation in intercept form
Answer:
y= 9x-7
Step-by-step explanation:
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1:
y = 2, x = 1
By putting above values in equation (i)
2 = 9 (1) + b
2 = 9 + b
-7 = b
b = -7
y = 9x - 7
1. Simplify the expression.
(-4x + 15) + (2x – 4)
Answer:
-2x+11
Step-by-step explanation:
:)))
Answer:
-2x+11
Step-by-step explanation:
x f 20-24 2 15-19 5 10-14 4 5-9 1 for the distribution in table 2-3, what was the highest score obtained in this group of 12 scores? group of answer choices
The highest score obtained in this group of 12 scores is 19
What is the distribution in statistics?
In statistics, a distribution refers to the way in which a variable is spread out or distributed across different values. A distribution describes the probability of different outcomes for a variable, and can be visualized using graphs such as histograms, box plots, and probability density functions.
The distribution in Table 2-3 shows frequency (f) for different score ranges (x). Without knowing the exact scoring system, we can't say for certain what the highest score obtained in this group of 12 scores is. However, we can determine the upper limit of the highest score range by multiplying the upper limit of the range by its frequency:
Upper limit of 20-24 range = 24
Frequency of 20-24 range = 2
Upper limit of 15-19 range = 19
Frequency of 15-19 range = 5
Upper limit of 10-14 range = 14
Frequency of 10-14 range = 4
Upper limit of 5-9 range = 9
Frequency of 5-9 range = 1
To find the highest score, we need to determine the upper limit of the score range that has the highest frequency. In this case, the highest frequency is 5, which corresponds to the range 15-19.
Hence, the highest score range is 15-19, and the highest score within that range is the upper limit of that range, which is 19. So, the highest score obtained in this group of 12 scores is 19 (assuming the scoring system is such that higher scores correspond to higher ranges).
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12. Find the perimeter of the isoscelos Iriongle. 7ft 48ft
Answer:
P = 98 feet
Step-by-step explanation:
need to find the hypotenuse so we can use the Pythagorean Theorem:
24² + 7² = c²
c² = 576 + 49
c = \(\sqrt{625}\)
c = 25
P = 2(25) + 48
P = 50 + 48
Find the area of the region shaded in green. Use 3.14 to approximate pi.
Answer:
254 cm² (to 3 s.f.)
Step-by-step explanation:
Area of shaded region
= area of large circle -area of smaller circle
\(\boxed{area \: of \: circle = \pi {r}^{2} }\)
Radius of large circle= 15cm
Radius of smaller circle= 12cm
Area of shaded region
= π(15²) -π(12²)
= 225π -144π
= 81π
= 81(3.14)
= 254.34
= 254 cm² (3 s.f.)
Micah is investigating phase shifts of the parent sine function, y = sin x. He wants to map the sine function onto itself. Part A. Write an equation of a function that has an identical graph but includes a phase shift. Part B. Write an equation that will map the parent sine function onto itself by shifting the parent function to the right. Part C. What do the equations in part (a) and part (b) tell you about the period of the sine function?. Part D. How many equations can you write to map the parent sine function onto itself? Explain.
Part A: It can be written as y = sin(x - c), where c represents the amount of phase shift. Part B: We can use the equation y = sin(x - a), where a represents the amount of rightward shift. Part C: The period is the distance between corresponding points on the graph, such as two peaks or two troughs. Part D: There are infinitely many equations that can be written to map the parent sine function onto itself.
1. Part A: To introduce a phase shift to the parent sine function y = sin(x), we subtract a constant value c from the input variable x. The equation y = sin(x - c) has an identical graph to the parent sine function, but it is shifted horizontally by an amount of c units to the right or left. The value of c determines the amount of phase shift, where a positive value shifts the graph to the right, and a negative value shifts it to the left.
2. Part B: To map the parent sine function onto itself by shifting it to the right, we can use the equation y = sin(x - a), where a represents the amount of rightward shift. By subtracting a constant value a from the input variable x, the graph is shifted a units to the right while maintaining the same shape.
3. Part C: The equations in parts A and B indicate that the period of the sine function remains the same. The period of the sine function is the distance between corresponding points on the graph, such as two peaks or two troughs. Introducing a phase shift or rightward shift does not alter the period; it only changes the starting point or position of the graph.
4. Part D: There are infinitely many equations that can be written to map the parent sine function onto itself. By combining different values of phase shifts and rightward shifts, we can obtain various equations. The sine function is periodic, meaning it repeats itself indefinitely. Any combination of phase shift and rightward shift will result in the same graph repeating after a specific interval, which is the period of the sine function. Therefore, there is no limit to the number of equations that can be written to achieve this mapping.
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Please answer the questions
The majority rule of voting states that the number of votes needed for a majority is one more than the total number of votes.
The total number of votes in this problem is given as follows:
8 + 5 + 3 + 1 + 2 = 19.
Hence the number of votes needed for the majority is given as follows:
0.5 x 19 = 9.5 -> add one to the integer part = 10.
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can the tangent constraint be applied between a line and an arc?
Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.
In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.
This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.
In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.
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I need help please. I would like someone to make sure I have the right answer .
A regular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters. what is the approximate area of the regular pentagon? 288 cm2 342 cm2 432 cm2 691 cm2
The approximated area of the pentagon that has side lengths of 14.1 cm and an apothem of 12 cm is 342 square centimeters
How to determine the area?The given parameters are:
Length, l = 14.1 cm
Apothem, a = 12 cm
The area of the pentagon is calculated using:
\(A= 0.25 * \sqrt{5 * (5 + 2\sqrt 5)} * l^2\)
So, we have:
\(A= 0.25 * \sqrt{5 * (5 + 2\sqrt 5)} * 14.1^2\)
Evaluate
A = 342
Hence, the approximated area of the pentagon is 342 square centimeters
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Answer:
342 cm2 B)
Step-by-step explanation:
edg2022
Help needed ASAP , thank you!
Answer:
rhombus has all angles=90 degress
A train traveled 10 miles in 6 minutes.
At this rate, how far will it travel in 20
minutes?
Hey there! I'm happy to help!
First, let's see how many times 6 minutes fits into 20 minutes.
20/6=3 1/3
So, we are traveling 10 miles 3 1/3 times!
10×3 1/3=33 1/3
This train will travel 33 1/3 miles in 20 minutes.
Have a wonderful day! :D
Given ΔABC ≅ ΔPQR, m∠B = 3v + 4, and m∠Q = 8v – 6. Find m∠B and m∠Q.
22, 11, 10, 25
m∠B = 10 and m∠Q = 10. Since ΔABC ≅ ΔPQR, the corresponding angles are congruent. Therefore, we can set up the following equation:
m∠B = m∠Q
Given that m∠B = 3v + 4 and m∠Q = 8v - 6, we can equate these expressions:
3v + 4 = 8v - 6
To solve for v, we can start by isolating the variable terms on one side of the equation and the constant terms on the other side:
4 + 6 = 8v - 3v
10 = 5v
Dividing both sides by 5:
v = 2
Now that we have the value of v, we can substitute it back into the expressions for m∠B and m∠Q:
m∠B = 3(2) + 4 = 10
m∠Q = 8(2) - 6 = 10
Therefore, m∠B = 10 and m∠Q = 10.
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Which relationship between the legs and the hypotenuse of the right triangle is correct?
Answer:
C. m^2+n^2=p^2
Step-by-step explanation:
The Pythagorean Theorem is a^2+b^2=c^2, so C is correct. This can be proven by using a triangle with the sides 3,4, and 5.
shifting data, by adding a constant to each data value, does not change the ______________.
Shifting data, by adding a constant to each data value, does not change the: Range and Interquartile Range
What is the effect of data change on the measures of central tendency?Basically what happens to our measures of central tendency and spread when we make changes to our data set is that:
No matter what value we add to the set, the mean, median, and mode will shift by that amount but the range and the IQR will remain the same. The same will be true if we subtract an amount from every data point in the set: the mean, median, and mode will shift to the left but the range and IQR will stay the same.
Finally, we conclude that whether we add a constant to each data point or subtract a constant from each data point, the mean, median, and mode will change by the same amount, but the range and IQR will stay the same.
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Ellen has two pizzas left after a party. One is whole and one has been half-eaten. The whole pizza has a radius of 7 inches. The half eaten pizza has a diameter of 20 inches.
Which pizza has a greater circumference?
Answer:
half eaten pizza has greater circumference
Step-by-step explanation:
full eaten pizza's circumference = 2πr
= 2 * 3.14 * 7 = 43.96 inches
half eaten pizza's circumference = πd
= 3.14 * 20
=62.8 inches
On a surface analysis chart the solid lines that depict sea level pressure patterns are called:_______
On a surface analysis chart, the solid lines that depict sea level pressure patterns are called isobars.
Isobars are lines connecting points of equal atmospheric pressure at sea level. They provide a visual representation of pressure variations across a geographical area.
Isobars are typically displayed on weather maps to illustrate high and low pressure systems, as well as the strength and location of pressure gradients. High-pressure systems are indicated by circular isobars, while low-pressure systems are depicted by oval or elongated isobars.
By examining the spacing and configuration of isobars, meteorologists can interpret weather patterns and make predictions.
Areas with tightly packed isobars indicate strong pressure gradients, which signify strong winds and potentially severe weather conditions. On the other hand, widely spaced isobars suggest weaker pressure gradients and calmer weather.
Overall, isobars on a surface analysis chart are crucial in understanding and analyzing atmospheric pressure patterns and their implications on weather conditions.
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,
Landon was comparing the price of apple juice at two stores. the equation y=0.96xy=0.96x represents what landon would pay in dollars and cents, yy, for xx bottles of apple juice at store a. landon can buy 14 bottles of apple juice at store b for a total cost of $34.16.
A bottle of apple juice in store b is $1.48 higher than store a. You can find it by comparing the price between shop a and shop b.
How to calculate how much more a bottle of apple juice at store b?As per given expression y = 0.96x where y is price in dollar for x bottle in store A. Since Landon buy 14 bottle than:
y = 0.96x
y = 0.96 (14)
Y = 13.44
Then calculate the price difference for a bottle in store b and a as follow
Bottle price difference = $34.16 - $13.44
Bottle price difference = $20.72
Because of the result still for 14 bottle difference, we divide the result with 14 to find out how much more a bottle of apple juice in store b than a as follow
Per bottle price difference = $20.72 : 14
Per bottle price difference = $1.48
Hence, A bottle of apple juice in store b is $1.48 higher than store a.
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(Giving 25 points since I need help asap.) Solve the quadratic equation by completing the square. You MUST use this method for credit.
(from lesson 5.03 – 4 points)
x^2 + 14x − 51 = 0
What should you add to both sides to complete the square? _________
Solution(s): _____________
Answer:
x = -17, x = 3, and you should add 100
Step-by-step explanation:
When completing the square, I like to follow a specific method.
First, I take the b-value and divide it by 2. This gives us to, in this situation, 7.
This means that the inside value in the (x-h)^2 area will be (x+7)^2
Now we find the square of that number, so 7^2 = 49. Now we have to find the distance between the number squared and the number on the outside. So we have to find the total distance between 49 and -51. To do this, we simply add 49 to 51, and we get 100, and then we set it as a negative.
We end up with (x+7)^2 - 100. On both sides, you should add 100.
Using the quadratic formula, the solutions are also x = -17, and x =3
By the congruent complements theorem, which angle is congruent to angle4? angle1 angle2 angle3 angle5
From the figure , and by using congruent complements theorem, the angle that is congruent to angle4 is (a) angle1 .
The "Congruent Complements Theorem" states that if two angles are complementary to same angle, then they are congruent. In other words, if two angles add up to 90 degrees, and they both complement the same third angle, then they are equal in measure.
The ∠4 and ∠5 are the complements and ∠1 and ∠5 are complements.
Which proves that : ∠1 and ∠4 are complimentary to the same angle that is ∠5.
Therefore, the ∠ 1 is congruent to angle 4 .
The given question is incomplete , the complete question is
From the figure below , the angle 4 and angle 5 are complements and angle 1 and angle 5 are complements , By using the congruent complements theorem, which angle is congruent to angle4 ?
(a) angle1
(b) angle2
(c) angle3
(d) angle5
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Which of the following is a living expense?
A) car payment
B) life Insurance
C) mortgage
D) clothes
The living expenses are life insurance, mortgage and clothing. Thus option (B), (C) and (D) are correct.
What is living expenses?The expenditure or the cost associated with maintaining a bare-bones standard of living and good health Along with housing, food, clothes, healthcare, and transportation, these are the basic human needs are referred to as Living Expenses.
The living expenses such as rent, mortgage payments, utilities, maintenance, food, clothing, insurance (life, health, and accident), taxes, installment payments, medical costs, support costs when the individual is legally responsible, and other miscellaneous costs are considered an individual's "ordinary and necessary living expenses."
Therefore, it can be concluded that living expenses and cost are life insurance, mortgage and clothing. Thus option (B), (C) and (D) are correct.
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