The absolute value of Y = X-5, with condition x > -5 is Y>-9.
The function of x is given to be,
Y = X-5, here a condition is given that, x > -5.
Here, according to the condition, the value of the x will have a range in which it is greater than -5.
Practically thinking, the number starting from -4, -3, -2, -1, 0, 1, 2, ...... all are greater than -5. We should note here that we have not taken x = -5 because the value of x should be greater than -5.
Now, the absolute value of the function y will be, putting x = -4,
Y = -4-5
Y = -9. Hence, the absolute value will always be more than -9. So, Y > -9.
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A byte is how many bits?
a. 8
b. 80
c. 800
d. Depends on the computer
Answer:
A byte is 8 bits.
Simplify;4{x+y} + 5{x-y}?
Answer:
4 ++5 −
hope this helps
Answer:
9x - y
Step-by-step explanation:
4 { x + y } + 5 { x - y }
= 4x + 4y + 5x - 5y
= 4x + 5x + 4y - 5y
= 9x - y
Lin got a $50 gift card to an online music store.
She bought an album for $9.99.
She also wants to use the gift card to buy some songs.
Each song costs $1.29.
Which inequality matches this situation? (Hint: nis the number of songs)
9.99 + 1.29n > 50
O 9.99 - 1.29n > 50
o 9.99 + 1.29n < 50
Step-by-step explanation:
I Hope it may help u
if yes glad to help you
Solve The Following System By Gauss-Jordan Elimination 2x1+2x2+2x3=−2x1+5x2+2x3=8x1+X2+4x3=01−1
The solution to the system of equations is:
x1 = -59/63
x2 = 5/21
x3 = 1/3
To solve the given system of equations using Gauss-Jordan elimination, let's write down the augmented matrix for the system:
css
Copy code
[ 2 2 2 | -2 ]
[-2 5 2 | 8 ]
[ 1 1 4 | 0 ]
The goal is to transform this matrix into row-echelon form and then further into reduced row-echelon form. Each row operation we perform on the matrix will be shown below it.
Step 1: Swap rows R1 and R3
css
Copy code
[ 1 1 4 | 0 ]
[-2 5 2 | 8 ]
[ 2 2 2 | -2 ]
Step 2: Perform R2 = R2 + 2R1 and R3 = R3 - 2R1
css
Copy code
[ 1 1 4 | 0 ]
[ 0 7 10 | 8 ]
[ 0 0 -6 | -2 ]
Step 3: Scale R3 by -1/6
css
Copy code
[ 1 1 4 | 0 ]
[ 0 7 10 | 8 ]
[ 0 0 1 | 1/3 ]
Step 4: Perform R1 = R1 - 4R3 and R2 = R2 - 10R3
css
Copy code
[ 1 1 0 | -4/3 ]
[ 0 7 0 | 5/3 ]
[ 0 0 1 | 1/3 ]
Step 5: Scale R2 by 1/7
css
Copy code
[ 1 1 0 | -4/3 ]
[ 0 1 0 | 5/21 ]
[ 0 0 1 | 1/3 ]
Step 6: Perform R1 = R1 - R2
css
Copy code
[ 1 0 0 | -59/63 ]
[ 0 1 0 | 5/21 ]
[ 0 0 1 | 1/3 ]
The matrix is now in reduced row-echelon form. The solution to the system of equations is:
x1 = -59/63
x2 = 5/21
x3 = 1/3
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5 5/6+(-1/6)+2 2/3+(-2 2/3)
Answer:
17/3 or 5 2/3 or 5.6 repeating
Step-by-step explanation:
z
Answer:
5(5/6)+(-1/6)+2(2/3)+(-2)(2/3)
(35/6)-(1/6)+(8/3)-(8/3)
find the least common multiple which is 3
therefore 70-3+16-16
the answer is 67
Select ALL of the trinomials.
x^2+3
x-4
x^4-2x+1
x^4+x^3+2x+5
ax^2+bx+c
The trinomials is x^4-2x+1 and ax^2+bx+c.
What is trinomials?
An algebraic expression with three non-zero terms is called a trinomial. Trinomial expression examples: A trinomial with the variables x, y, and z equals x + y + z. A trinomial in one variable is 2a2 + 5a + 7 a. A trinomial with two variables, x and y, is xy + x + 2y2.
Selecting all of the trinomials:
\(x^4-2 x+1\)
Use the rational root theorem
\(=(x-1) \frac{x^4-2 x+1}{x-1}\)
\(\begin{aligned}& \frac{x^4-2 x+1}{x-1}=x^3+x^2+x-1 \\& =(x-1)\left(x^3+x^2+x-1\right)\end{aligned}$$\)
This is a trinomials.
ax^2+bx+c
This is a trinomials.
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The trinomials is x^4-2x+1 and ax^2+bx+c.
What is trinomials?
An algebraic expression with three non-zero terms is called a trinomial. Trinomial expression examples: A trinomial with the variables x, y, and z equals x + y + z. A trinomial in one variable is 2a2 + 5a + 7 a. A trinomial with two variables, x and y, is xy + x + 2y2.
Selecting all of the trinomials:
x^4-2 x+1
Use the rational root theorem
\($$\begin{aligned}& =(x-1) \frac{x^4-2 x+1}{x-1} \\& \frac{x^4-2 x+1}{x-1}=x^3+x^2+x-1 \\& =(x-1)\left(x^3+x^2+x-1\right)\end{aligned}$$\)
This is a trinomials.
ax^2+bx+c
This is a trinomials.
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Show me How much is 1 5/6 as a mixed fraction
Answer:11/6
Step-by-step explanation: hope it helped if it dint tell me what exactly what i need to do and ill do it :)
Answer:
I am not sure what you are asking for
Step-by-step explanation:
1 5/6 already is the mixed fraction, if you meant to put 1 5/6 as an improper fraction your answer would be 11/6.
Or if you possibly meant 15/6 as a mixed fraction your answer would be 2 3/6
If this is not the answer you were looking for, please correct me so I can help you out.
7676767676767676767676767
Answer:
uhhh is this a trick question lol
have a good day :D
Step-by-step explanation:
3log2-5logx
Condense
Show all work
URGENT
Answer: To condense the expression 3log2 - 5logx, we can use the logarithmic properties, specifically the product rule and power rule of logarithms.
The product rule states that alogb + clogb = logb((b^a) * (b^c)), and the power rule states that alogb = logb(b^a).
Applying these rules, let's condense the given expression step by step:
3log2 - 5logx
Applying the power rule to log2: log2(2^3) - 5logx
Simplifying: log2(8) - 5logx
log2(8) can be further simplified as log2(2^3) using the power rule: 3 - 5logx
Therefore, the condensed form of the expression 3log2 - 5logx is 3 - 5logx.
1) An object will have greater kinetic energy if the object has…
a
Nuclear energy
b
Greater mass
c
Greater velocity
d
Both B and C
Consider the algebraic expression:
Answer:
where is the expression??
a local ice cream shop has a special deal on thursdays: buy a waffle cone for $3 and get each scoop of ice cream for $1.50. what would be the rate of change in this word problem?
In the given word problem, the rate of change is the change in the cost of the ice cream concerning the change in the number of scoops.
That is, the rate of change is the ratio of the change in the cost of ice cream and the change in the number of scoops. Let's first calculate the initial rate of change or slope of the given deal: When we buy a waffle cone, the cost is $3, and we can buy one scoop of ice cream for $1.50.So, for one scoop of ice cream, the total cost would be 3 + 1.50 = $4.50.
We can represent the cost of one scoop of ice cream with the help of a linear equation: y = mx + b. Here, the slope or the rate of change, m = Change in cost of ice cream/ Change in the number of scoops= 1.5/1= 1.5Therefore, the rate of change of the ice cream with respect to the number of scoops is $1.50/scoop.
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SOMEONE please just explain this to me I need to pass
it's easy
Step-by-step explanation:
use the formula for finding a slope and equate it to 7
The number of boys is 3/5 of the number of girls. If there are 120 children all together, how many boys are there? PLEASE HELP ME!!!!!!!!
Answer:
72 boys
Step-by-step explanation:
120 * .60. That's how you solve it! Hope it helps!
Further explanation:
To get .60, you divide 3 by 5 which is .60
Then you multiply 120 times .60 and you'll get 72 which is 72 boys
Bonus: 120 - 72 = 48 girls!
Answer:
There are 45 boys.
Step-by-step explanation:
The best way to easily solvethis is by making equations, see below.
\(let \: b \: represent \: number \: of \: boys \\ let \: g \: represent \: number \: of \: girls\)
\(b + g = 120 \\ b = \frac{3}{5} g\)
Now we can subtract the secons equation from the first.
\(g = 120 - \frac{3}{5} g\)
I'm also goong to multiply the equatipn by 5 to remove the fraction.
\(5g = - 3g + 600\)
Now simplify
\(8g = 600 \\ g = 75\)
Now we found out there are 75 girls. Now we insert this into our second equation to find how many boys there are.
\(b + 75 = 120 \\ b = 45\)
Now we know there are 45 boys.
10) Determine whether the events of rolling a fair die two times are disjoint, independent, both, or neither. A) Disjoint. B) Exclusive. C) Independent. D) All of these. E) None of these.
The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.
When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:
There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.
There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).
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find the surface area of each rectangular prism
Imani is making costumes for a play. She spent $146.58 on 21 yards of fabric. Write and solve an equation to find how much Imani paid for each yard of fabric.
Multiple choice question.
A)
21p=146.58; $6.98 per yard
B)
146.58p=21; $0.14 per yard
C)
146.58(21)=p; $3078.18 per yard
D)
21p=146.58; $3078.18 per yard
Answer:
A
Step-by-step explanation:
21 yards and Total cost of $146.58
p = 1 yard
Equation: 21p = 146.58
p = 146.58/21
p = 6.98
21p=146.58 will describe the equation and the amount paid for each yard is $6.98 so option (A) will be correct.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Amount of fabric = 21 yards
Since cost per yard of fabric is given by p
So,
The total cost of fabric = Amount of fabric × cost per yard
146.58 = 21p
21p=146.58
Now,
p = 146.58/21 = 6.98.
Hence "21p=146.58 will describe the equation and the amount paid for each yard is $6.98".
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Over what axis was the square reflected in the first example?
Answer:
theres no picture attached
Step-by-step explanation:
On the first play during the football game our team gained 5 yards. Between both the second and third play our team lost eight yards. What was the net gain or loss
Answer:
loss
Step-by-step explanation:
you might want to check someone else answer first tho
a researcher is interested comparing quality of sleep between people who work overnight shifts and people who work day shifts. a sample of 50 day shift workers and 50 night shift workers are asked to complete a quality of sleep measure, which the researcher will treat as an interval scale measure. the researcher will compare the mean levels of each group to see if there is a statistically significant difference between the groups. which analysis would be acceptable to use?
The correct analysis would be 3 option
Describe statistics using an example.
A statistic is a numerical expression of a sample characteristic. The average amount of points obtained by students in one math class at the conclusion of the term, for instance, is an example of a statistic if we see that class as a sample of the population of all math classes.
The right response is selection 3. To compare the means of two independent groups, use the independent samples t test. to determine whether there is a substantial difference between the means of the two groups. In this instance, we are comparing two different groups of people: those who work the night shift and those who work the day shift. By definition, these two groups of persons would differ, therefore neither a matched sample test nor a one-sample test would be appropriate. Furthermore, we are not interested in person's r, which is a measure of linear correlation between two variables.
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which set of angles has the same terminal arm as 70 degrees?
Answer: B = B ∈ {70° + n*360° I n ∈ Z } where Z is the set of the integer numbers.
Step-by-step explanation:
If we have an angle A, the other angles that have the same terminal arm than A can be written as:
B = A + n*360°
Here B is a "coterminal" angle to A. (they have the same terminal side)
where n can be any integer number (if n = 0 we have A = B, which is trivial, this means that any angle can be coterminal with itself.)
So we can write the set as:
B = B ∈ {70° + n*360° I n ∈ Z }
The set of angles that has the same terminal arm as 70 degrees is B = B ∈ {70° + n*360°, n ∈ Z}.
We have to determine, which set of angles has the same terminal arm as 70 degrees.
According to the question,
Let, The angle A and other angle B that have the same terminal arm as A can be written as,
B = A + n × 360°
Where the value of angle A is 70 degrees.
B is the coterminal angle, and they have the same terminal,
And n is the number of integers.
Substitute the value of A in the equation,
B = 70 + n × 360°
Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.
Since the value of n is equal to 0 then A = B,
Therefore, The angles coterminal with itself is called trivial.
Hence, The set of angles that has the same terminal arm as 70 degrees is B = B ∈ {70° + n*360°, n ∈ Z}.
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Which property was used to simplify the expression?
4(b+2) = 4b+8
distributive property
commutative property
associative property
inverse property
Answer:
distributive
Step-by-step explanation:
they took the number outside of the parentheses and multiplied by the inside
Santa Clara County, CA, has approximately 27,873 Japanese-Americans. Their ages are as follows : Age Group Percent of Community 0-17 18.9 18-24 8.0 25-34 22.8 35-44 15.0 45-54 13.1 55-64 11.9 65 10.3 Which box plot most resembles the information above
The box plot most resembles the information above is given by the image of Box plot A, option 1.
A box plot or boxplot is a visual representation of the location, dispersion, and skewness groups of quartiles of numerical data. The box-and-whisker plot and box-and-whisker diagram are other names for box plots, which can additionally have lines (referred to as whiskers) extending from the box to indicate variability beyond the top and lower quartiles.
Santa Clara Country, CA has approximately 27873 Japanese - Americans. Their ages are as follows :
Age Group Percent of Community
0-17 18.9
18-24 8.0
25-34 22.8
35-44 15.0
45-54 13.1
55-64 11.9
10.3
Summary of the data is ,
Minimum = 0
Maximum = 100
Q1 = 24
Q2 = 34
Q3 = 53
Inter Quartile Range = IQR
= Q3 - Q1 = 53 - 24 = 29 .
IQR = 29
According to above summery of the data,
The most resembles Boxplot is A.
Hence , Choose option 1) Boxplot A is the answer.
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Based on the provided information, the box plot that best represents the data is Box plot A, which corresponds to option 1.
The box plot, also known as a box-and-whisker plot, visually displays the distribution of numerical data through quartiles, indicating the location, spread, and skewness of the data. It consists of a box that represents the interquartile range (IQR), with a line inside indicating the median. Whiskers extend from the box to show the range of the data, excluding outliers.
For the given data on the ages of Japanese-Americans in Santa Clara County, CA, the summary reveals the following statistics: the minimum age is 0, the maximum age is 100, and the quartiles are Q1 = 24, Q2 = 34, and Q3 = 53. The interquartile range (IQR) is calculated as Q3 - Q1, resulting in an IQR of 29.
Considering the characteristics of the data summary, the box plot that closely matches this description is Box plot A. Therefore, the correct answer is option 1) Boxplot A.
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I really need the answer now pls help me asap!!
Answer:
1 A
2 B
3 D
4 B
5 A
6 D
7 C
8 B
9 C
Step-by-step explanation:
1 A
2 B
3 D
4 B
5 A
6 D
7 C
8 B
9 C
Q 35- The difference between two positive numbers is 20 and their ratio is 3:2. Find the product of the two numbers? A-400 B-800 C-900 D-1600
Answer: The product of the two numbers is 2400.
Step-by-step explanation: You multiply the numbers on the ratio with the difference first you multiply 2 with 20 then you multiply 3 with 20.
A gardener can care for the Green's property in 5 hours. If his helper assists him, they can complete the job in 4 hours. How long will it take the helper to do the job?
A fraction is a way to describe a part of a whole. The time it will take for the helper to do the job is 20 minutes.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that the gardener can care for the Green's property in 5 hours. Therefore, the rate at which the gardener can care is,
Rate of gardener = 1/5
Also, If the gardener helper assists him, they can complete the job in 4 hours. Therefore, the rate at which the gardener and helper can care is,
Rate of gardener and helper = 1/4
Further, the rate at which the helper can care is,
Rate of helper = 1/x
Now, the sum of the two rates can be written as,
1/5 + 1/x = 1/4
(x+5)/5x = 1/4
4x + 20 = 5x
x = 20
Hence, the time it will take for the helper to do the job is 20 minutes.
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Answer:
20 hours
Step-by-step explanation:
according to ada guidelines, a ramp with a two-foot vertical rise should be at least:
According to ADA guidelines, a ramp with a two-foot vertical rise should be at least 20 feet long.
This length allows for a gentle slope that is safe and accessible for individuals with mobility impairments, including those using wheelchairs or other mobility aids. The slope of the ramp should not exceed 1:12, which means that for every inch of vertical rise, the ramp should extend 12 inches horizontally.
The ADA guidelines are designed to ensure that individuals with disabilities have safe and accessible routes of travel in public spaces. Ramps with proper dimensions and slope ratios are critical for individuals with mobility impairments to access buildings and spaces that may not be accessible via stairs. Ramps should also be designed with non-slip surfaces, handrails, and other safety features to prevent accidents and ensure that all individuals can use them safely and comfortably.
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[HELP FAST] Write an equation of the line below.
Answer:
y=x-2
Step-by-step explanation:
the line is linear with a slope of 1/1
the y int is -2
plug into y=mx+b
y=x-2
560/80=56 tens / 8 tens =
Answer:
=7
Step-by-step explanation:
A grocery store sells a bag of 6 oranges for $4.80. If Austin spent $8.00 on oranges, how many did he buy
Answer:
10 oranges
Step-by-step explanation:
6 oranges is sold for $4.80
1 orange= 4.80/6
= $0.8
Austin spent $8.00 on oranges, then the amount of oranges he bought with this amount can be calculated as follows
= 8/0.8
= 10 oranges