Consider the equation 4x=8.
Which value could be substituted x to make the equation TRUE?
Answer:
2
Step-by-step explanation:
4 times 2 is 8
Nate has a deductible of $1,000 and a collision coverage limit of $5,000. He damages his car in an accident and it will cost $7,000 to repair. How much does Nate have to pay total out of pocket for this claim?
Nate has a deductible of $1,000, which means he is responsible for paying that amount out of pocket before his insurance coverage kicks in. The cost of repairing his car is $7,000, which exceeds his deductible.
However, Nate's collision coverage limit is $5,000, which is the maximum amount his insurance will cover for repairs.
Since the cost of repairs exceeds Nate's coverage limit, he will have to pay the difference between the coverage limit and the actual repair cost.
In this case, Nate's out-of-pocket expenses would be $7,000 (repair cost) - $5,000 (coverage limit) = $2,000.
Therefore, Nate will have to pay a total of $2,000 out of pocket for this claim, which includes his $1,000 deductible and the additional $1,000 that exceeds his coverage limit.
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Which ordered pair is a solution to the system
Answer:
I think it might be this one(-2,0)
Geometric mean assignment
the solutions to the equation \(2x^2 - x - 3 = 0\) are x = 1.5 or x = -0.5.
The square root of 25 can be expressed simply as 5:
x = (1 ± 5) / 4
This provides us with two potential answers:
x = (1 + 5) / 4 = 1.5
or
x = (1 - 5) / 4 = -0.5
The square root of a negative number is not a real number, so this equation does not have a real solution using geometric mean.
what is mean?By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.
Based on the provided data set, the fundamental formula to determine the mean is calculated. When calculating the mean, every term in the data set is taken into account. The ratio between the total number of terms and the sum of all the terms provides the general formula for the mean. Hence, we may state;
Mean is equal to the product of the given data and the total amount of data.
from the question:
The following formula can be used to find x using geometric mean:
\(x = \sqrt{(ab)}\)
where a and b are the two numbers whose geometric means we're interested in finding.
The two roots of the quadratic equation \(ax^2 + bx + c = 0\) in standard form can be used here as a and b. Applying the previous solutions, we obtain:
\(x = \sqrt{(1.5 (-0.5)}\)
\(x = \sqrt{(-0.75)}\)
As the square root of a negative number is not a real number, the geometric mean method cannot find a real solution to this problem.
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Here, lots of questions are asking.
Define the term Geometry?The study of shapes, sizes, locations, and qualities of objects in space is referred to as geometry. It covers the examination of points, lines, angles, planes, and solid figures as well as their interrelationships. In areas including architecture, engineering, physics, and computer graphics, among others, geometry is used in real-world settings. It is frequently taught to kids starting at a young age and is a crucial component of mathematics education.
Euclidean geometry: This is the most common type of geometry that deals with the properties of objects in two and three-dimensional space, such as lines, angles, triangles, circles, and solid shapes.Non-Euclidean geometry: This type of geometry is based on different sets of axioms or assumptions than Euclidean geometry. It includes hyperbolic geometry and elliptic geometry, which have different properties than Euclidean geometry.Analytic geometry: This type of geometry uses algebraic methods to study geometric shapes and their properties. It involves the use of coordinates and equations to represent geometric objects.To know more about geometry, visit:
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Fill in the table 'using this function rule.
y = -5x+2
x
-1
0
1
2
y
0
0
0
X
4
S
Answer:
7, 2, -3, -8
Step-by-step explanation:
y = -5x + 2 Substitute in -1 for x
y = -5(-1) + 2
y = 5 + 2
y = 7
y = -5x + 2 Substitute in 0 for x
y = -5(0) + 2
y = 0 + 2
y = 2
y = -5 + 2 substitutes in 1 for x
y = -5(1) + 2
y = -5 + 2
y = -3
y = -5x + 2 Substitute in 2 for x
y = -5(2) + 2
y = -10 + 2
y = -8
Helping in the name of Jesus.
6 greater than x is greater than 84
Answer:
6>x>84
Step-by-step explanation:
Are snow days a thing of the past or do they still have a place in today's world? Answer whether or not you believe the Mayor and School chancellor are correct in eliminating snow days for NYC school kids. Make sure to use evidence and personal connections to defend your position.
Answer:
I feel it is unfair to kids of today to require work in bad weather. Especially in harsh and even dangerous weather conditions. For me what if power goes out should I be required to do work?
During science class, groups measure out different volumes of vinegar. The line plot below shows the amount of vinegar used by 12 1212 groups, rounded to the nearest 1 2 mL 2 1 mLstart fraction, 1, divided by, 2, end fraction, start text, space, m, L, end text. 4 4 4 1 2 4 2 1 5 5 5 1 2 5 2 1 6 6 6 1 2 6 2 1 7 7 7 1 2 7 2 1 8 8 A line plot labeled 4 to 8 with tick marks every one-half unit labeled with a tick mark and number. Above tick mark four and one-half there is a column of two dots. Above tick mark 5 there is a column of three dots. Above tick mark six and one-half there is a column of two dots. Above tick mark 7, there is a column of two dots. Above tick mark seven and one-half, there is a column of three dots. What is the total amount of vinegar, in milliliters, used by the 3 33 groups that used the most? mL mL
Answer:
22 1/2
Step-by-step explanation:
Matthew is saving money for a pet turtle the data in the table represents the total amount of money in dollars that he saved by the end of each week.
What is the sin of 52 radians
Answer:
sin of 52 radians = 0.98662759204
Step-by-step explanation:
Answer: 0.98
Step-by-step explanation:
Approximately 1, you shouldn't have to answer 0.988 etc on the test.
How do we know where to label base and where to label height on a trapezium. does it matter where they are on the trapezium or does it have to be in rectangular please help on question
The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.
In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.
Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.
Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.
It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.
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How many blocks with dimensions of 3x1x1 can fit in a unit cube?
x
1
2
3
Ο Ο Ο Ο
6
9
Answer:
None
Step-by-step explanation:
None. A unit cube has dimensions 1 by 1 by 1, so it could not contain a rectangle of dimensions 3 by 1 by 1.
Drag the labels to the correct locations on the image each label can be use more than once but not all labels will be used.What is a domain of a function M?
The domain of the graph is the set of x values that exist in the graph.
The values of x are all real numbers without any restriction.
So the domain will be :
\(-\inftyplease help i only have a few minutes left!!
Answer:
VI
Step-by-step explanation:
The letter "A" is a vowel and a capital letter, so this should be categorized in group VI, where the vowel circle and the capital letter circle overlap.
Answer:
F
Step-by-step explanation:
It is a capital letter and a vowel
If (x - 3)2 = 5, what values of x make the quadratic equation TRUE?
O A
15
+
3
O B. 3+15
O C. --J5+ 3
D. -3+15
Answer:
I need Help on this one too.
Step-by-step explanation:
please help
Answer: Its b
Step-by-step explanation:
y=-x+6 y=3/4x-1 find the solution
The solution of the given system of linear equation is (4,2) .
What is substitution method ?
The substitution method is a method of solving a system of two equations with two variables by solving one of the equations for one variable and substituting that expression into the other equation to solve for the other variable. This method can be used to solve systems of linear equations, where each equation represents a line in a two-dimensional coordinate system. The solution to the system represents the point where the two lines intersect.
Finding the solution using substitution method :
We can solve for one variable in terms of the other in one equation and substitute it into the other equation.
For example, we can solve for y in terms of x in the first equation:
\(y = -x + 6\)
Then substitute this expression for y into the second equation:
\(({3}/{4x} )- 1 = y\)
Substitute \(y = -x + 6:\)
\((3/4x) - 1 = -x + 6\)
Solve for x:
\((3/4x )+ x = 7\)
\(x = 4\)
Substitute \(x = 4\) into either equation to find y:
\(y = -x + 6 = -4 + 6 = 2\)
Therefore, the solution is (4, 2).
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Find the distance between these points. C(0, 4), T(-6, -3) √(37) √(109) √(85)
Answer:
The answer is
\( \sqrt{85} \)Step-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C(0, 4), T(-6, -3)
The distance between them is
\( |CT| = \sqrt{ ({0 + 6})^{2} + ({4 + 3})^{2} } \\ = \sqrt{ {6}^{2} + {7}^{2} } \\ = \sqrt{36 + 49} \)We have the final answer as
\( \sqrt{85} \)Hope this helps you
so can u help me guys
Thus, 715,000 = 7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.
Explain about the scientific notations:The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.
The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.
Given expression:
715,000 __ 7.15 x 10⁵
LHS = 715,000
Take the RHS value :
= 7.15 x 10⁵
This, can be simplifies as:
= 7.15 x 100,000
Now multiply the two values,
= 715,000 (RHS values)
as, LHS = RHS
LHS = 715,000
715,000 (RHS values)
Thus, 715,000 = 7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.
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Represent each number line by an inequality.
Answer:
Step-by-step explanation:
The inequality in the first equation is x > 8.
The inequality for the second graph is x ≤ -4 since it's a dot.
Using a Graph to Find Positive or Negative Intervals
Answer:
Step-by-step explanation:
The second is correct
f(x) <0 on ( _ infinit, -2.7) and ( -1, 0.8)
Write the
degree of (x²+1) (x3 + 1)²
Answer:
The polynomial degree is 8
Step-by-step explanation:
a wheel of radius 0.5 m rolls without sliding on a horizontal surface as shown. starting from rest, the wheel moves with constant angular acceleration 6 rad/s^2. the distance traveled by the center of the wheel from t
The distance traveled by the center of the wheel (from time t = 0 seconds to time t = 3 seconds) starting from rest that has an angular acceleration of 6 rad/s² is 13.5 meters
What is an angular motion?Angular motion can be described the motion of a body around a circular path or a curved path around a fixed axis.
Radius of the wheel, r = 0.5 meters
The wheel rolls starting from rest without sliding on the horizontal surface
Constant angular acceleration of the wheel = 6 rad/s²
The angle rotation, θ, of the wheel can be found by the formula;
θ = θ₀ + ω₀·t + (1/2)·α·t²
Where;
θ = Rotation of the wheel
θ₀ = Initial angular rotation of the wheel = 0 (The wheel is initially at rest)
ω₀ = The angular velocity of the wheel at the start = 0 (The wheel starts from rest)
α = The angular acceleration of the wheel = 6 rad/s²
Therefore;
θ = 0 + 0 + 0.5 × 6 × 3² = 27
The angle turned by the wheel = 27 radians
The linear displacement of the, d = r·θ
Therefore;
The distance traveled by the wheel, r·θ = 0.5 m × 27 rad = 13.5 m
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Complete question; To find the the distance traveled by the center of the wheel from t = 0 seconds to t = 3 seconds
For which of the following displays of data is it not possible to find the mean histogram frequency, table, stem, and leaf plot doc plot
The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.
A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.
A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.
A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.
A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.
In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
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Write the quadratic function in the form f (x) = a (x - h)? +k
Then, give the vertex of its graph.
f(x) = -3x² +30x - 71 help pls
Answer:
f(x) = -3(x - 5)^2 + 4
vertex (5,4)
Step-by-step explanation:
f(x) = -3x² +30x - 71
f(x) = -3(x² +-10x) - 71
f(x) = -3(x² +-10x+5^2-5^2) - 71
f(x) = -3(x² +-10x+5^2) -3(-5^2) - 71
f(x) = -3(x² +-10x+5^2) + 4
f(x) = -3(x - 5)^2 + 4
vertex (5,4)
Ivanna drove 696 miles in 12 hours. At the same rate, how many miles would she drive in 7 hours?
Answer:
406
Step-by-step explanation:
We need to find the unit rate or how many miles can they drive in 1 hour. So we do 696/12 which is 58. So we have 58 miles in 1 hour. Now we multiply the number of desired hours, 7 and multiply it by 696. Which is 406
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1479 and a standard deviation of 302. The local college includes a minimum score of 2294 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement
Answer:
0.35% of students from this school earn scores that satisfy the admission requirement.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1479 and a standard deviation of 302.
This means that \(\mu = 1479, \sigma = 302\)
The local college includes a minimum score of 2294 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?
The proportion is 1 subtracted by the pvalue of Z when X = 2294. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2294 - 1479}{302}\)
\(Z = 2.7\)
\(Z = 2.7\) has a pvalue of 0.9965
1 - 0.9965 = 0.0035
0.0035*100% = 0.35%
0.35% of students from this school earn scores that satisfy the admission requirement.
hi i need help thank u so much
WORTH 5o points
Answer:
it will be 8 answer letter A
Answer:
A. 8
Step-by-step explanation:
From pythagoras theorem
10^2=6^2+x^2
100-36=x^2
sqrt 64=x
x=8
maria , an experienced shipping clerk, can fill a certain order in 12 hours. , a new clerk, needs 13 hours to do the same job. Working together, how long will it take them to fill the order
It would take them approximately 6.24 hours (or 6 hours and 14 minutes) to complete the order if they work together.
To solve this problem, we can use the formula:
Time = Work ÷ Rate
Time is the time it takes to complete the job, Work is the amount of work to be done, and Rate is the rate of work.
Let's assume that the amount of work to be done is 1 (it doesn't matter what unit we use as long as we are consistent).
Then, Maria's rate of work is 1/12 (she can do 1 job in 12 hours) and the new clerk's rate of work is 1/13 (he can do 1 job in 13 hours).
If they work together, their combined rate of work is the sum of their individual rates:
Rate = Maria's rate + New clerk's rate
Rate = 1/12 + 1/13
Rate = (13 + 12) / (12 x 13)
Rate = 25 / 156
So, their combined rate of work is 25/156 jobs per hour.
Now, we can use the formula to find the time it takes for them to complete the job together:
Time = Work ÷ Rate
Time = 1 ÷ (25/156)
Time = 156/25
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the probability of getting a number smaller than 10, counting an ace as 1, from a deck of cards
Answer:
38%.
Step-by-step explanation:
There are 52 cards in a deck, and 16 of them are smaller than 10 (2 through 9 in each of the four suits). In addition, there are four aces, which can be counted as 1. So there are 20 cards that meet the criterion of being smaller than 10, including the aces.
The probability of drawing one of these cards from a full deck is the number of favorable outcomes (20) divided by the number of possible outcomes (52):
Probability = 20/52 = 5/13 ≈ 0.38 or 38%
So the probability of getting a number smaller than 10, counting an ace as 1, from a deck of cards is approximately 38%.
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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