\(\left(\dfrac x5 \right)^2 = \dfrac{x^2}{5^2} = \dfrac{x^2}{25}\)
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x - 2)?
Answer:
The answer is x=4.
Step-by-step explanation:
Have a great day!
Which rule explains why these triangles are congruent?
Find the slope of the line that passes through the points \left(10,8\right)(10,8) and \left(4,12\right)(4,12).
Write your answer as a simplified fraction.
3y + 2x = 44 is the equation of the line through (10, 8) and (4, 12).
What is the Equation of line?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.
Given, two coordinates of a line \(\left(10,8\right) and \left(4,12\right)\)
The slope of the line formula is:
\(m = \frac{y₂ - y₁}{ x₂ - x₁}\)
Let's substitute our numbers.
\(m = -\frac{8 -12}{4-10}\) = -4/6
The GCF of these two numbers is 2
So, our slope = -2/3
The general equation of a line is y = mx +c
Therefore the equation of the line is y = -2/3x + c
Since, this line passes through ( 10, 8 )
Hence, it must satisfy these coordinates
8 = -2/3 * 10 + c
44/3 = c
Thus the equation of the line is y = -2/3x +44/3
the equation of the line is 3y + 2x = 44.
Therefore, The equation of the line that passes through (10, 8) and (4, 12) is 3y + 2x = 44.
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help please !! thank you so much
Answer:
Yes it is a proportional relationship
Step-by-step explanation:
That is because 20 and 10 are your original and 40 and 20 and 60 and 30 match with it.
write 95.5 as a mixed number
Answer: 191/2
Step-by-step explanation:
95.5 as a fraction is 191/2
so i divided 191/2 and the answer is 95.5
and so 95 1/2 is also equivalent to 191/2
For each question below, determine True or False: If a simple random sample is chosen with replacement, each individual has
the same chance of selection on every draw.
The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.
If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.
The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.
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When z is divided by 6, the remainder is 4. What is the remain-der when z is divided by 2 ?
Answer:
12
Step-by-step explanation:
So first, when z is divded by 6 we get 4 left.
So an example for z could be 24.
(24 / 6 = 4)
When z is divded by 2, it would be 12
24 / 2 = 12
(I hope this helps and that you have a nice day!)
find slope of the line passes through (7, 3)and (9, 6
Answer:
slope = 3/2
Step-by-step explanation:
(y2-y1)/(x2-x1)
= (6-3)/(9-7)
= 3/2
Hope this helps! :3
plz mark as brainliest!
Find the range of the function y=1/2x + 3 when the domain is {-2,0,2,4}
Answer:(2,3,4,5)
Step-by-step explanation:
I need helppppp badlyyyyyy please help me
Answer:
-3
Step-by-step explanation:
Assuming the expression is -x+2 answered in your previous question, we evaluate it as follows when x=5,
-x+2
-5+2
-3
Candy choices at the movie theater are an example of which type of data? Statistic Extreme Qualitative Quantitative
The example of choosing candy falls under the dignified criteria of Qualitative data. Then the correct option required is Option B.
Qualitative data refers to data that is considered descriptive and conceptual which are collected through questionnaires, observation, and interviews. candy choices in the given question fall under the description of Qualitative data. Due to the following reasons
It is non-numerical and readily describes the characteristics of objects, people, places, etc.No calculations are included for choosing a particular option that will in conclusion help in determining the better candy.No involvement of 2nd person's preferences or choices to find a suitable candy.No limiting variables to hold the imagination, are required to select the perfect candy.To learn more about Qualitative data,
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An amusement park has two special annual membership passes. Plan A: For a single payment of $54.75, you receive an unlimited number of visits to the pak Plan B: Visits to the park cost $6.50 each plus a one-time membership fee of $18.95. Use algebra to determine how many visits you could make with Plan B before Plan A becom
PLEASE HELP ASAP MARKING BRAINLIEST ⚠️⚠️
use the equation to complete the table
y=3/8x-5
**the last number of the table is 24
Answer:
minus 5 but make sure you change 3/6 to decimal form
Answer:
-8, -5, -2, 1, 4
Step-by-step explanation:
Write in slope intercept form
M= -7, b= -4
Answer:
y = -7x -4
Step-by-step explanation:
Slope-intercept form: y = mx + b
given:
m = -7
b = -4
answer: y = -7x -4
hope this helps :)
67 is the difference of Gail’s height and 16.
Jennifer is making a cold cut platter using turkey and ham for an event that she is catering. She uses 90 slices of meat. If 63 of the slices of meat are turkey, what percent of the meat on the platter are ham?
What can you see in this form of the linear equation? 6x+2y=13
The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).
In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.
A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.
When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.
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Ashley had 4/ 5 of a spool of yarn. She used 2/5 of it for her project. What fraction of the spool was used for her project? Write your answer in simplest form
Ashley used 8/25 of the spool for her project.
To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):
(4/5) * (2/5) = 8/25
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If 1 person uses approximately 1.5 square feet and if 1 mile = 5280 ft., estimate how many people can fit in an area that is 5 feet deep and 1 mile long.
Answer:
17,600 people
Step-by-step explanation:
If 1 person uses approximately 1.5 square feet and if 1 mile = 5280 ft.,
Ratio = 1/1.5
1 mile = 5280 ft.
Area given = 5 feet deep and 1 mile long.
Area of the crowd = 5 feet × 5280 feet
= 26400 square feet.
We are asked to estimate how many people can fit in an area that is 5 feet deep and 1 mile long if 1 person uses approximately 1.5 square feet
1.5 square feet = 1 person
26400 square feet =
26400 square feet/1.5 square feet
= 17,600 people
Ms. Carlton needs to borrow $2,500 for car repairs. The bank provides her with two repayment options.
Option 1: Monthly payments of $95.00 for 3 years
Option 2: Monthly payments of $127.00 for 2 years
Which repayment option allows Ms. Carlton to pay the smallest amount of interest?
Option 2 allows Ms. Carlton to pay the smallest amount of interest, with a total interest of $548.00 compared to $920.00 for Option 1.
Which repayment option allows Ms. Carlton to pay the smallest amount of interest?To determine which repayment option allows Ms. Carlton to pay the smallest amount of interest, we need to calculate the total amount of interest paid for each option.
For Option 1, the total amount paid over the 3-year period is:
Total payment = Monthly payment x Number of payments
Total payment = $95.00 x 36
Total payment = $3,420.00
Since Ms. Carlton borrowed $2,500, the total interest paid is:
Total interest = Total payment - Amount borrowed
Total interest = $3,420.00 - $2,500.00
Total interest = $920.00
For Option 2, the total amount paid over the 2-year period is:
Total payment = Monthly payment x Number of payments
Total payment = $127.00 x 24
Total payment = $3,048.00
Since Ms. Carlton borrowed $2,500, the total interest paid is:
Total interest = Total payment - Amount borrowed
Total interest = $3,048.00 - $2,500.00
Total interest = $548.00
Therefore, Option 2 allows Ms. Carlton to pay the smallest amount of interest, with a total interest of $548.00 compared to $920.00 for Option 1.
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Which of these is an example of similar terms
Answer:
sorry if this is wrong, I don't take algebra two and I won't have to, but maybe a polynomial with three turns
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What is the slope of a line parallel to line B?
A) 5/3
B) -1/3
C) 5/2
D) 2/5
Answer:
c
Step-by-step explanation:
the rise(y) is 10 if you count and the run(x) is 4 slope is y/x so its 10/4 and you can simplify that to 5/2
Evaluate the following expression when x=14. X^2+5x+11
Answer:
277
Step-by-step explanation:
14^2+5(14)+11=
196+70+11=
277
Start by substituting 14 in for x everywhere that x appears in the problem.
So we have (14)² + 5(14) + 11.
Remember that PEMDAS tells you to deal
with your exponents before multiplying.
So you must square the 14 to get 196.
So we have 196 + 5(14) + 11.
Now multiply 5(14) to get 70.
So we have 196 + 70 + 11.
Now we can simply add to get 277.
If t represents an odd integer , which of the following expressions represents an even integer ?
A) t + 2
B) 2t - 1
C) 3t - 2
D) 3t + 2
E) 5t + 1
Answer: A) t + 2
Step-by-step explanation:
If t represents an odd integer, then it can be written as t = 2k + 1 for some integer k.
A) t + 2 = (2k + 1) + 2 = 2k + 3 = 2(k + 1) + 1, which is an odd integer.
B) 2t - 1 = 2(2k + 1) - 1 = 4k + 1, which is an odd integer.
C) 3t - 2 = 3(2k + 1) - 2 = 6k + 1, which is an odd integer.
D) 3t + 2 = 3(2k + 1) + 2 = 6k + 5 = 2(3k + 2) + 1, which is an odd integer.
E) 5t + 1 = 5(2k + 1) + 1 = 10k + 6 + 1 = 2(5k + 3) + 1, which is an odd integer.
Therefore, the only expression that represents an even integer is option A) t + 2.
I really need the help
If you randomly select a letter from the phrase "Terrace Park Wolves rule," what is the probability that you select a consonant? (Your answer must be in the form of a reduced fraction.)
The probability of selecting a consonant is 0.619
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
The phrase is = "Terrace Park Wolves rule"
The number of letters in the phrase = 21 letters
The number of consonants in the phrase = 13 letters
Now ,
The probability of choosing a consonant from the given set of letters =
number of letters in the phrase / number of consonants in the phrase
Probability of choosing a consonant from the given set of letters = 13 / 21
Probability of choosing a consonant from the given set of letters = 0.619
Hence , The probability of selecting a consonant is 0.619
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When Ava went to bed, the temperature was 3°F. When she woke up, the temperature had decreased by 6°F. What was the temperature when Ava woke up?
Answer:
\(T_f=9^{\circ} F\)
Step-by-step explanation:
It is given that,
Initial temperature, \(T_i=3^{\circ} F\)
The decrease in temperature when she woke up is, \(\Delta T=6^{\circ} F\)
We need to find the temperature when Ava woke up.
Change in temperature = final temperature-initial temperature
\(6\ ^{\circ}F=T_f-3^{\circ}F\\\\T_f=9^{\circ} F\)
So, when she woke up the temperature was 9°F.
The temperature when Ava woke up is -3°F
What is Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
When Ava went to bed, the temperature was 3°F.
and, When she woke up, the temperature had decreased by 6°F.
So, the temperature when Ava woke up
= 3 - 6
= -3°F
Hence, the temperature when Ava woke up is -3°F
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THTONFOUR [10 MARKS] Helean Algebra Theorems 41. Write the two De-Morgans theorems [2 MARKS] 42.Use the two theorems to simplify the following expressions 4.2.1. \( X=\overline{\overline{A(B+\bar{A})
The simplified expression is \(X = A \cdot \overline{B}\).
41. De Morgan's Theorems state the following:
a) De Morgan's First Theorem: The complement of the union of two sets is equal to the intersection of their complements. In terms of Boolean algebra, it can be expressed as:
\(\overline{A \cup B} = \overline{A} \cap \overline{B}\)
b) De Morgan's Second Theorem: The complement of the intersection of two sets is equal to the union of their complements. In terms of Boolean algebra, it can be expressed as:
\(\overline{A \cap B} = \overline{A} \cup \overline{B}\)
42. Now, let's use the two De Morgan's theorems to simplify the given expression:
\(X = \overline{\overline{A(B + \bar{A})}}\)
Using De Morgan's Second Theorem, we can distribute the complement over the sum:
\(X = \overline{\overline{A} \cdot \overline{(B + \bar{A})}}\)
Now, applying De Morgan's First Theorem, we can distribute the complement over the sum inside the brackets:
\(X = \overline{\overline{A} \cdot (\overline{B} \cap \overline{\bar{A}})}\)
Since \(\overline{\bar{A}}\) is equal to \(A\), we can simplify further:
\(X = \overline{\overline{A} \cdot (\overline{B} \cap A)}\)
Applying De Morgan's First Theorem again, we can distribute the complement over the intersection:
\(X = \overline{\overline{A} \cdot \overline{B} \cup \overline{A} \cdot A}\)
Since \(A \cdot \overline{A}\) is always equal to 0, we can simplify further:
\(X = \overline{\overline{A} \cdot \overline{B} \cup 0}\)
The union of any set with 0 is equal to the set itself:
\(X = \overline{\overline{A} \cdot \overline{B}}\)
Finally, applying the double complement law (\(\overline{\overline{X}} = X\)), we get:
\(X = A \cdot \overline{B}\)
Therefore, the simplified expression is \(X = A \cdot \overline{B}\).
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Again its just early and i want to go back to sleep so pls help
Answer:
(-3,2) and (3,4) = y - 2 = 1/3 × (x+3)
(3,7) and (6,-2) = y - 7 =-3 × (x-3)
Step-by-step explanation:
because the point slope formula for equations is y- y1 = m(x-x1)
Marco is 450 m due east of the centre of the park: His friend Ray ` is 450 m due south of the centre of the park; Which is the correct expression for the exact distance between the two boys? 2254/2 m 450N2 m 450 1 What is the exact value for tan (2409)2 -N3
The exact value for the tangent of 240° is -0.422618261740699. The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. In order to calculate the tangent of 240°, first, find the ratio of the length of the opposite side to the length of the adjacent side. Then, use a calculator to convert the ratio into a decimal. To do this, simply divide the length of the opposite side by the length of the adjacent side. The decimal that is produced is the exact value for the tangent of 240°. In this case, the value is -0.422618261740699.
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Zachary wants to ride his bicycle 26.8 miles this week. He has already ridden 8 miles.
If he rides for 4 more days, write and solve an equation which can be used to
determine m, the average number of miles he would have to ride each day to meet his
goal.
Answer:
4.7 ~~~ :D
Step-by-step explanation:
t = total...i = initial amount ridden......d = days..... m = average amount of miles
---------------
t = i +dm
26.8 = 8 + 4m
----------------- solve -----------------
26.8 = 8 + 4m ----> 18.8 = 4m ----> 4.7 = m
The expression is 26.8 = 8 + 4m and the average number of, miles he would have to ride each day to meet his goal is 4.7.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Let the attributes be, t = total, i = initial amount ridden, d = days, and m = average amount of miles.
The required expression can be written as below:-
t = i +dm
26.8 = 8 + 4m
The value of average miles will be calculated by solving the expression:-
26.8 = 8 + 4m
18.8 = 4m
4.7 = m
Therefore, the expression is 26.8 = 8 + 4m and the average number of, miles he would have to ride each day to meet his goal is 4.7.
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