Answer:
x>-1
Step-by-step explanation:
first, you have to distribute. 12x+8-6>2x-16+8
then you have to combine like terms 12x+2>2x-8
you put the X's on one side 10x+2> -8
move the 2 to the -8 10x>-10
divide x>-1
Answer:
Number 2. x>-1
Step-by-step explanation:
4(3x+2) is 12x+8. 12x+8-6 is 12x+2.
12x+2>8+2(x-8)
2(x-8) is 2x-16. 2x-16+8 is 2x-8.
12x+2>2x-8
12x>2x-10
10x>-10
x>-1
Find the value of z
\(\textsf {Finding y :}\)
\(\implies \mathsf {1^{2} + y^{2} = 3^{2}}\)
\(\implies \mathsf {y^{2} = 8}\)
\(\implies \mathsf {y = 2\sqrt{2}}\)
\(\textsf {Finding z :}\)
\(\implies \mathsf {(2\sqrt{2})^{2}+8^{2}=z^{2}}\)
\(\implies \mathsf {z^{2} = 72}\)
\(\implies \mathsf {z = 6\sqrt{2}}\)
Answer:
z =8.49 or 6\(\sqrt{2}\)
Step-by-step explanation:
Do the Pythagorean theorem = \(a^{2} +b^{2} =c^{2}\)
Length of hypotenuse = 8+1=9
length of one side = 3
so, a²+3²=9²
a²+3²=9²
a²=81-9
a²=72
a=√72=8.49 or 6\(\sqrt{2}\)
Kevinspinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins the spinner 180 times. About how many times should Kevin land on red or purple?
about 18 times
about 36 times
about 40 times
about 72 times has a
Kevin spinner that has 10 equal sections and 2 sections of each color-red, blue, green, yellow, and purple. Kevin spins the spinner 180 times. Kevin should land on red or purple about 72 times in 180 spins.
To solve this problem, we can use the concept of probability. The probability of landing on red or purple is the total number of red and purple sections divided by the total number of sections on the spinner.
Since there are 10 equal sections, each section has a probability of 1/10 of being landed on. Since there are 2 sections of each color, the total number of red and purple sections is 2 + 2 = 4.
Therefore, the probability of landing on red or purple is 4/10 or 2/5.
To find out how many times Kevin should land on red or purple in 180 spins, we can multiply the probability by the total number of spins:
2/5 x 180 = 72
It's important to note that this is an estimate based on probability, so Kevin may not actually land on red or purple exactly 72 times. However, as the number of spins approaches infinity, the number of times Kevin lands on red or purple should approach the expected value of 72.
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i really need help please
Answer:
25
Step-by-step explanation:
Marcus looked at the clock shown above and said, 1/4 of an hour has passed. Sierra said 3/12 of an hour has passed. Ali said 15/60 of an hour has passed. Their teacher said that they were all correct.
Since Marcus looked at the clock shown above and said, 1/4 of an hour has passed. Sierra said 3/12 of an hour has passed. Ali said 15/60 of an hour has passed. They're equivalent and the teacher is right that they're all correct.
How to illustrate the information?It should be noted that from the information, Marcus looked at the clock shown above and said, 1/4 of an hour has passed. Sierra said 3/12 of an hour has passed. Ali said 15/60 of an hour has passed.
In this case, their teacher said that they were all correct.
This means that:
1/4 = 3/12 = 15/60
It should be noted that they are all equivalent fractions. This implies that they are equal.
Therefore, the teacher is correct.
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Jordan is saving for a new laptop that costs $325. He uses the equation and table below to show the number of months he has been saving, m, and the total amount he has saved so far, d. d=80+ 75m Amount Saved Over Several Months Months (m) Total Saved in Dollars (d) 0 1 Which is the first month in which Jordan will have saved enough money to buy the laptop? Month 2 O Month 3 O Month 4 month 5
Answer:
month 4
Step-by-step explanation:
I took the test
Answer:
Its month 4 on edge.
Step-by-step explanation:
an office building contains 24 floors and has 37 offices on each floor. how many offices are in the building?
Answer:
888 offices
Step-by-step explanation:
Since there are a total of 24 floors in the building and each floor has a total of 37 offices on it, we have to multiply the number of floors by the number of offices in total:
\(24 \times 37 = 888\)
The number of offices in the building amounts to a total of 888, indicating a significant amount of workspace available within the premises.
To calculate the total number of offices in the building, we need to multiply the number of floors by the number of offices on each floor.
Given that the building has 24 floors and 37 offices on each floor, we can use the formula:
Total number of offices = Number of floors * Number of offices per floor
Plugging in the given values, we get:
Total number of offices = 24 * 37 = 888
Therefore, there are 888 offices in the building.
This calculation assumes that each floor has the same number of offices and that there are no variations or exceptions. It also assumes that there are no common areas or other types of spaces that are not considered offices.
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The number of pollinated flowers as a function of time in days can be represented by the function. f(x)
The average increase in the number of flowers pollinated per day between days 4 and 10 is 39, given that the number of pollinated flowers as a function of time in days can be represented by the function \(f(x) = (3)^{\frac{x}{2} }\).
In the question, we are asked for the average increase in the number of flowers pollinated per day between days 4 and 10, given that the number of pollinated flowers as a function of time in days can be represented by the function \(f(x) = (3)^{\frac{x}{2} }\).
To find the average increase in the number of flowers pollinated per day between days 4 and 10, we use the formula {f(10) - f(4)}/{10 - 4}.
First, we find the value of the function \(f(x) = (3)^{\frac{x}{2} }\), for f(10) and f(4).
\(f(x) = (3)^{\frac{x}{2} }\\\Rightarrow f(10) = (3)^{\frac{10}{2} }\\\Rightarrow f(10) = 3^5 = 243\)
\(f(x) = (3)^{\frac{x}{2} }\\\Rightarrow f(4) = (3)^{\frac{4}{2} }\\\Rightarrow f(10) = 3^2 = 9\)
Thus, the average increase
= {f(10) - f(4)}/{10 - 4},
= (243 - 9)/(10 - 4),
= 234/6
= 39.
Thus, the average increase in the number of flowers pollinated per day between days 4 and 10 is 39, given that the number of pollinated flowers as a function of time in days can be represented by the function \(f(x) = (3)^{\frac{x}{2} }\).
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For complete question, refer to the attachment.
which type of analysis first equates groups on the basis of overall score and then evaluates differences in performance between the groups on particular items in an attempt to identify sources of bias?a. regressionb. factorc. difd. meta
The type of analysis that first equates groups on the basis of overall score and then evaluates differences in performance between the groups on particular items in an attempt to identify sources of bias is called Differential Item Functioning (DIF) analysis.
DIF analysis compares the performance of different groups on individual test items while controlling for overall score differences. This method is commonly used in educational and psychological research to identify potential sources of bias in tests or assessments.
DIF analysis is typically used to ensure that test items are fair and unbiased. If a test item is found to have DIF, it suggests that the item is not functioning the same way for all test-takers and may be unfairly advantaging or disadvantaging certain subgroups.
DIF analysis involves comparing the probability of answering a test item correctly between two or more groups, such as males and females. If there is a statistically significant difference in the probability of answering the item correctly between the groups, it suggests that the item may be exhibiting DIF. Further investigation is then needed to determine why the DIF is occurring and whether the item should be revised or removed from the test.
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At the end of 1st Quarter of 2009 the median price of a single-family home in Charleston/No. Charleston was $184,990. Single-family home prices in Charleston/No. Charleston decreased from the 1st Qtr of 2008 by 8.15%. NOTE: Depreciation means a negative value for r. (a). Estimate the median price of a single-family home in the 1st Qtr of 2008.
(b). If the median price of a single-family home falls at the same rate for the next 2 years, estimate the median price of a single-family home in the 1st Qtr of 2011.
The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.
(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.
(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.
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If a population with a normal distribution has a mean of 50 and the population standard
deviation of 10, what fraction of the population would fall between the values of 56 and
74? What fraction of the population would be below 20?
If a population with a normal distribution has a mean of 50 and the population standard deviation of 10 then approximately 47.72% of the population would fall between the values of 56 and 74, also approximately 0.13% of the population would be below 20.
To calculate the fraction of the population between the values of 56 and 74, we need to find the area under the normal distribution curve between these two values. Since the population has a mean of 50 and a standard deviation of 10, we can standardize the values of 56 and 74 using the formula:
Z = (X - μ) / σ
where Z is the z-score, X is the given value, μ is the population mean, and σ is the population standard deviation.
For the value 56:
Z₁ = (56 - 50) / 10 = 0.6
For the value 74:
Z₂ = (74 - 50) / 10 = 2.4
We can then find the corresponding probabilities associated with these z-scores from the standard normal distribution table or by using a calculator. The area between these two z-scores represents the fraction of the population between the values of 56 and 74.
Using the standard normal distribution table, we find that the probability associated with a z-score of 0.6 is approximately 0.7257, and the probability associated with a z-score of 2.4 is approximately 0.9918.
To find the fraction of the population between 56 and 74, we subtract the probability associated with the lower z-score from the probability associated with the higher z-score:
Fraction = 0.9918 - 0.7257 = 0.2661
Therefore, approximately 26.61% of the population falls between the values of 56 and 74.
For the fraction of the population below 20, we calculate the z-score for the value 20:
Z = (20 - 50) / 10 = -3
Again, using the standard normal distribution table, we find that the probability associated with a z-score of -3 is approximately 0.0013.
Therefore, approximately 0.13% of the population would be below 20.
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Which table of ordered pairs represents a proportional relationship?
Х
-3
-4
-5
y
3
2
1
0
Х
-1
-3
-5
y
1
3
5
х
-2.
4
-6
y
-5
-7
-9
ở
х
-2
-3
-4
-1
-2
Answer
The right table is the second one it presents proportional relationship
Step-by-step explanation:
The ordered pairs that represent a proportional relationship are:
X Y
-1 1
-3 3
-5 5
Option B is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
From table B.
X Y
-1 1
-3 3
-5 5
We can make a proportional equation as:
y ∝ x
y = kx
Now,
From the table,
(-1, 1), (-3, 3), and (-5, 5)
It is in the form of (x, y).
So,
y = kx
1 = k (-1)
k = -1
We see that,
y = -1(x)
y = -1 x 3 = -3
y = -1 x 5 = -5
This is true for table B.
Thus,
The ordered pairs that represent a proportional relationship is:
X Y
-1 1
-3 3
-5 5
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for all positive angles less than 360°, if csc csc (2x+30°)=cos cos (3y-15°), the sum of x and y is?
Answer:
35 degrees
Step-by-step explanation:
for all positive angles less than 360°, if csc (2x+30°)= cos (3y-15°), the sum of x and y is?
Let the given expression be equal to 1, hence;
csc (2x+30°)= cos (3y-15°) = 1
csc (2x+30°) = 1
1/sin(2x+30) = 1
1 = sin(2x+30)
sin(2x+30) = 1
2x+30 = arcsin(1)
2x+30 = 90
2x = 90-30
2x = 60
x = 60/2
x = 30 degrees
Get the value of y;
cos (3y-15°) = 1
3y - 15 = arccos (1)
3y - 15= 0
3y = 0+15
3y = 15
y = 15/3
y = 5
Sum of x and y;
x+y = 30 + 5
x+y = 35degrees
Hence the sum of x and y is 35 degrees
A study on students drinking habits wants to determine the true average number of alcoholic drinks all FSU graduate students have in a one week period. We know from preliminary studies that the standard deviation is around 1.79. How many students should be sampled to be within 0.5 drinks of population mean with 95% probability?
A. 50
B. 49
C. 24
D. 25
what is the percent and decimal for 25 ¾
Answer:
25.75
Step-by-step explanation:
25.75 decimal bc yuh
Miles is playing catch with his friend. He throws the baseball from point A to point B
shown on the coordinate plane, where each unit represents 1 yard. How far does Miles throw the baseball? Round your answer to the nearest yard.
Answer: 10 yards
Step-by-step explanation:
Answer: I think it's 10 yards
can you help me with this??
Answer:
The answer is the picture down below. Hope this helps :)
Step-by-step explanation:
a bus is traveling at a velocity of 25 m/s straight south what effect will an acceleration of 4m/s2 north have on a bus
Answer:
The acceleration will cause the bus to travel for 6.25secs
Step-by-step explanation:
For us to get the effect the acceleration will have on the bus, we need to calculate the time taken by the bus to travel.
Using the acceleration formula;
Acceleration = Velocity/Time
Given
Acceleration = 4m/s²
Velocity = 25m/s
Required
Time
From the formula;
Time = Velocity/acceleration
Time = 25/4
Time = 6.25secs
Hence the acceleration will cause the bus to travel for 6.25secs
Can I get help plz….
Answer:
b,c,d
Step-by-step explanation:
the box on the corner means it is 90°.
the lines make a T shape meaning one line is going straight up and down and the other is going left and right. this is called perpendicular. we also know it is since we have right angles of 90° on each corner.
right angles means they are 90°
acute angles are any angles smaller than 90. since it is exactly 90 it is not acute.
look at diagram..............
Answer:
131°
Step-by-step explanation:
Answer:
131
Step-by-step explanation:
angle RSP and and OPS are supplementary angles meaning they will add up to equal 180. 180-49=131 so angle OPS=131
At a hockey game, a vender sold a combined total of 172 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Therefore , the solution of the given problem of linear equation comes out to be 129 sodas were sold.
What exactly is a linear equation?The formula y=mx+b is used to produce a simple regression curve. The slope is B, and the y-intercept is m. The preceding line indicates independent components, yet is commonly referred to as a "math equation combining many variables". In bivariate linear equations, there are just two variables. Application problems involving linear equations have no known solutions. Y=mx+b.
Here,
Let's start by defining some variables. Let s be the number of sodas sold and h be the number of hot dogs sold.
We know from the problem that:
s + h = 172 (the total number of sodas and hot dogs sold)
s = 3h (the number of sodas sold is three times the number of hot dogs sold)
We can substitute the second equation into the first equation to eliminate s and get an equation in terms of h:
3h + h = 172
4h = 172
h = 43
So, 43 hot dogs were sold. We can then use the second equation to find the number of sodas sold:
s = 3h = 3(43) = 129
Therefore, 129 sodas were sold.
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is -21/4 irrational or rational
Answer:
rational
Step-by-step explanation:
If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational. hope that helped
Help
i need help
thanks
Answer:
D
Step-by-step explanation:
23-5=18
An employee earned $31,900.00 in a year and had $2,328.70 withheld for federal income tax. What federal income tax percent was withheld? If necessary, round your answer to the nearest hundredth of a percent.
Answer:
7.3%
Step-by-step explanation:
2,328.70 / 31,900
(You might want a calculator)
0.073
turn this into a percentage
7.3%
Doesnt need to be rounded.
The federal income tax percentage withheld will be 7.3%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
An employee earned $31,900.00 in a year and had $2,328.70 withheld for federal income tax.
Then the federal income tax percent withheld will be given as,
P = (2328.70 / 31900) x 100
P = 0.073 x 100
P = 7.3%
The federal income tax percentage withheld will be 7.3%.
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Name a three dimensional shape that cannot have a triangle as a two dimensional cross section.
Answer:
A sphere
Step-by-step explanation:
A cross section of a three dimensional figure is the surface or intersection of the three dimensional figure and a plane, it is the shape obtained by cutting straight through the three dimensional figure
The shape of an inclined cross section of a cube can be a triangle however, he shape of a horizontal and inclined cross section of a sphere is a circle.
The graph of the function g(x) = -x is shown on the grid below. which of the following is the graph of y = g(x)-6?
Note that the graph of y=g(x) -6 where g(x) = -x is represented by the funciton y = -x-6. See graph attached.
What is the rationale for the above?The graph of the function g(x) = -x is a straight line passing through the origin with a slope of -1.
To find the graph of y = g(x) - 6, we need to shift the graph of g(x) downward by 6 units.
This can be done by subtracting 6 from the y-coordinate of every point on the graph of g(x).
Therefore, the graph of y = g(x) - 6 is obtained by shifting the graph of g(x) downward by 6 units. The resulting graph is a straight line passing through the point (0, -6) with a slope of -1.
Where the function is y = -x - 6
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Eloise walked in a Walk for the Homeless. She was pledged $1 per mile
by her aunt, and $2 per mile by her father. She walked the entire
course, and collected $63. How long was the course? _____
Answer:
1.35 is the cost of the regular ice cream
Step-by-step explanation:
If a many-to-many-to-many relationship is created when it is not appropriate to do so, how can the problem be corrected?
If a many-to-many-to-many relationship is created when it is not appropriate to do so, the problem can be corrected by re-designing the database schema to remove the unnecessary relationship.
Here are some steps you can follow to correct the problem:
Analyze the existing database schema to identify the many-to-many-to-many relationship and the tables involved in it.
Evaluate the relationship to determine whether it is necessary or not. If it is not, remove it from the schema.
If the relationship is necessary, analyze the tables and their attributes to identify the primary keys and foreign keys involved in the relationship.
Create a new table to serve as an intermediary between the tables involved in the relationship.
Update the foreign keys in the related tables to point to the primary keys in the new intermediary table.
Migrate the data from the existing tables to the new intermediary table.
Test the new database schema to ensure that it functions correctly and that all data is correctly retrieved and stored.
Overall, the process of correcting a many-to-many-to-many relationship involves re-evaluating the database schema and modifying it as necessary to ensure that it is properly designed to store and retrieve data efficiently and accurately.
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True or false please
It goes completely diagonal so True
Have a good day!
(It also has matching points at the middle if you need more evidence XD)
Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
India went on an 8-mile hike. After hiking 5 2/3 miles, India stopped for lunch. How much further does India have left to hike?
Answer:
India has 2 1/3 miles left to hike.
Step-by-step explanation:
You can subtract 8 and 5 2/3 to get 2 1/3.
I hope this helps!