n = 1 is a counterexample for both the given equations.
Here, we are given two equations, let us look at them one by one-
a. (n + 5) / 5 = n + 1
let us take n = 1
the, (1 + 5) / 5 = 1 + 1
6/ 5 = 2
This equation does not hold as 6/5 ≠ 2. Thus, n = 1 doesn't satisfy the given equation and hence is a counterexample.
b. (n + 4)² = n² + 4²
Let us take n = 1
(1 + 4)² = 1² + 4²
5² = 1 + 16
25 = 17
Again, this equation does not hold as 25 ≠ 17. Thus, n = 1 doesn't satisfy the given equation and hence is a counterexample.
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Can you find the slope for me
Answer:
8/5
Step-by-step explanation:
suppose that y varies directly with x and y = -9 when x = 3 write the direct variation that relates to X and Y. y= and find y when x=7
The direct variation is -27/7.
y=27/7 when x= 7
What is variation ?Y= -9 when x = 3 and y varies directly with x which can be written as y directly proportional to x.
[tex]x_{1} /x_{2}[/tex] = [tex]y_{1} /y_{2}[/tex]
3/7 = -9/y2
y2 = - 27/7
A variation is a connection between a set of values for one variable and a different set of values. If m is a nonzero constant and b = 0, the equation y = mx + b yields the function y = mx (often written y = kx), which is known as a direct variation.
The calculus of variations is a branch of mathematical analysis which finds maxima and minima of functionals: mappings from a set of functions to the real numbers. Variations are minor changes in functions and functionals.
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1) Identify a number that makes the
statement below true. Show work to justify
your answer.
-5.8+
= a positive number
r
The number that makes the statement is -5.8 + 6.8 = 1 > 0 so, the statement is -5.8 + 6.8 = a positive number is true statement.
The number that makes the statement is,
Based on given conditions , formulate,
-5.8+ _ = a positive number
Let us assume,
We can take positive number is '1'
Then, we can write,
⇒ 1 - (-5.8)
We can negative sign and negative signs are shows to positive sign,
⇒ 1 + 5.8
We can sum or difference in the product,
⇒ 6.8
Hence,
⇒ -5.8 + 6.8
⇒ 1
So, 1 is positive number.
Then, -5.8 + 6.8 = 1 > 0
Therefore, The number that makes the statement is -5.8 + 6.8 = 1 > 0 so,
-5.8 + 6.8 = a positive number.
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Which is one condition that must be present for an inverse relation to be a function?
A. The function must be a straight line. The function must be a straight line.
B. The function must pass the vertical line test. The function must pass the vertical line test.
C. The inverse relation must be a straight line. The inverse relation must be a straight line.
D. The inverse relation must pass the vertical line test.
the correct option is D:
" The inverse relation must pass the vertical line test."
Which is one condition that must be present for an inverse relation to be a function?
Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.
All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.
From this we conclude that the correct option is D:
" The inverse relation must pass the vertical line test."
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3 to the 4th power minus -6 to the 2nd power
The number of chaperones at a school field trip must be the
number of students attending, plus the 2 teacher sponsors. Write
a rule for the number of chaperones that must be on the trip.
Write ordered pairs to represent the number of chaperones that
must attend the trip when there are 120, 150, 200, and 210 students.
Answer:
(120,122), (150,152), (200,202), (210,212)
Step-by-step explanation:
just add two to the number of students
What property is illustrated in the following equation?
(2 · 3) + (2 · 9) = ? (3 + 9)
Associative Property of Multiplication
Commutative Property of Addition
Distributive Property
Identity Property of Addition
Urgent!!!
Answer:
Associative Property of Multiplication
Step-by-step explanation:
Estimate. 51.68 + 33.1 Need help asap
Simplify the expression. (Remember the order of operations.)
[18-(-11)]-[22+(-18)
Name the property of 94+7=7+94
Answer:
commutative property of addition
Step-by-step explanation:
the commutative property is when you switch the order of numbers in an addition or multiplication operation
Which one of the following compound inequalities has no solution?
From the following compound inequalities, all the compound inequalities have a solution.
What is compound inequality?
A compound inequality is a type of inequality that comprises two basic inequalities.
From the given information, we have:
3x-7 ≤ 5x + 5 and -4x +8 < 5x - 1
-2x+9>4x+3 and-8x-9 < -7x-3
-2(x-9) < 3(x+4) and -4(x-1) > -5(x-2)
3x+1 < 5x+7 and -2x+5 ≤ -5x -10
To determine the compound inequality with no solution, we need to solve each of the inequalities.
1.
3x-7 ≤ 5x + 5 and -4x +8 < 5x - 1
Collect like terms
-7-5 ≤ 5x-3x and 8+1 < 5x+4x
-12 ≤ 2x and 9 <9x
x ≥ -6 and x > 1 (has a solution)
2. -2x+9>4x+3 and-8x-9 < -7x-3
Collect like terms
9-3 > 4x+2x and -9+3 < 8x-7x
6 > 6x and -6 < x
x< 1 and x < -6 (has a solution)
3.
-2(x-9) < 3(x+4) and -4(x-1) > -5(x-2)
Open brackets
= -2x +18 < 3x + 12 and -4x + 4 > -5x +10
Collect like terms
= 2x + 3x > 18 - 12 and 5x-4x > 10 -4
= 5x < 6 and x > 6
= x > 6/5 and x > 6 (has a solution)
4.
3x+1 < 5x+7 and -2x+5 ≤ -5x -10
1-7 < 5x-3x and 5x -2x ≤ -10 +2
-6 < 2x and 3x ≤ -8
x > -3 and x ≤ -8/3 ( has a solution)
Therefore, no compound inequalities has no solution.
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A die is thrown 600 times. These results are obtained.
1 Do the results indicate the die is biased?
2 Justify your answer.
3 Use the data to work out the probability of the die landing on:
a 1, b 3, c 4, d 6
4 If the die were fair how many times would you expect it to land on each
number if it were thrown 600 times?
A die is thrown 600 times and the results are:
1 - 102, 2 - 112, 3 - 181, 4 - 31, 5 - 82, 6 - 921) There is indication of the die being biased.
2) It becomes evident number 3 is landed 181 times and number 4 is landed 31 times, whilst we would expect about 100 outcomes for each number.
3) Probabilities
probability = favorable outcomes / total outcomesa) P(1) = 102/600 = 0.17 or 17%b) P(3) = 181/600 = 0.30 or ~ 30%c) P(4) = 31/600 = 0.05 or ~ 5%d) P(6) = 92/600 = 0.1533 or ~ 15%4) The theoretical probability is same for each number:
P = 1/6*600 = 100 timesMP MODELING REAL LIFE The height of the house is
26 feet. What is the height x of each story?
Answer:
Step-by-step explanation:
14feet
lMary wants apple pls help x^2=11
Answer:
Whats the question?
Step-by-step explanation:
a) Find the difference between 8.72 and 0.872.
Answer:
8.72 in fraction is 872/100 so this one is in the hundereds
0.827 in fraction is 872/1000 and this one is in the thousands
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12. CONCERT A concert venue surveyed
680 concert attendees about the concession
stand. Of those that visited the concession
stand, 527 said the concession stand prices
are excessive, and the remaining 44 did not.
Write an equation to find the number of
attendees a who did not visit the concession
stand. (Lesson 1-1)
Solving a linear equation, we will see that 109 attendees did not visit the concession stand.
How to find the number of attendees who did not visit the concession stand?
First, we know that the total number of surveyed people is 680.
Of these 680, we know that:
527 said that the concession stand prices are excessive.44 said that the concession stand prices are not excessive.x did not visit the concession stand.Now, the 3 numbers above should add up to the total number of surveyed people.
527 + 44 + x = 680
Solving that linear equation for x:
x = 680 - 527 - 44 = 109
We conclude that the number of attendees who did not visit the concession stand is 109.
Which expression is equivalent to |8|+|-7|?
Answer: 15
Step-by-step explanation:
|8|+|-7|=
8+7=15 ==> anything inside the absolute value symbol is always positive.
Answer: 8+7
The | | symbol means how far it is from 0 on the number line. -7 is still only 7 away from 0. Now, if you have -|8|, you apply that - to the 8, so then it's -8.
The circle below is centered at the point (3,-4) and has a radius of length 3.
What is its equation?
-5
D. (x-3)² + (y-4)² = 9
A. (x-4)² + (y+ 3)² =
32
B. (x+4)² + (v- 3)² =
32
C. (x-3)² + (y + 4)² = 9
The equation of the circle is given by (C) (x-3)² + (y + 4)² = 9
All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. The radius of a circle is the separation between any point on the circle and its center.
The equation of the circle in the general form is given by the
(x-a)²+(y-b)²=r²
Where (a,b) is the co-ordinates of the center of the circle and the radius is r.
Now the center of the circle is given at (3,-4) and the radius is r.
We know that the general equation of a circle is [tex]{\displaystyle (x-a)^{2}+(y-b)^{2}=r^{2}}[/tex]
Substituting the values in the equation we get:
(x-3)²+(y-(-4))²=(3)²
or, (x-3)²+(y+4)²=9
Hence the equation of the circle is (x-3)² + (y + 4)² = 9.
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There are 24 children in a kindergarten class. Three quarters of them can already write the whole alphabet. How many children can write the alphabet?
Answer:
18
Step-by-step explanation:
24/4=6
6 times 3 is 18
Hope It Helps
Sorry If I'm Wrong
Ralph wants to join a travel soccer team, a discretionary expense.
His parents tell him he must get a job to earn the money to cover the costs. Ralph now views this discretionary expense as an essential expense since he must pay his parents back. The costs of the travel team are listed below.
Uniform - $67.00
Registration - $50.00
Tournaments -$775.00
Travel - $300.00
a. Find the total cost of being on the team.
b. If Ralph takes a summer job and works 10 weeks over the summer, how much must he average each week to cover the travel team expenses?
c. If Ralph is paid at a flat rate of exactly q dollars each week, what is the standard deviation of the distribution of his 10 weekly paychecks?
a) The total cost of being on the team is; $1192
b) Ralph average cost is; $119.20
c) The standard deviation of the distribution of his 10 weekly paychecks is; $0
What is the Total Cost?
We are given the costs of the travel team as listed below;
Uniform - $67.00
Registration - $50.00
Tournaments -$775.00
Travel - $300.00
a) To find the total cost of being on the team, we will simply add all the individual costs as given to get;
Total Cost = 67 + 50 + 775 + 300
Total Cost = $1192
b) If Ralph takes a summer job and works 10 weeks over the summer, then his average cost is;
Average Cost = 1192/10
Average Cost = $119.20
c) If he is paid at a flat rate of exactly q dollars each week, the standard deviation of the distribution of his 10 weekly paychecks is;
$0
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Answer:
Step-by-step explanation:
first one is wrong and I don’t know the answer yet
The boiling point of jet fuel is 329°F. Rounded to the nearest degree, what is the temperature in degrees Celsius?
Answer: 165 Celcius
I used a Farheinit to Celcius calculator :)
you run for 6 miles per hour for 27 minutes how far did u run
Answer:
If you ran for 27 minutes at 6 miles per hour, you would have run 2.7 miles.
Step-by-step explanation:
The Step-by-step explanation is, 6 miles per hour = 1 mile per 10 minutes. Therefore in 27 minutes, you would have run 2.7 miles (27 minutes / 10 minutes = 2.7 miles).
Nicole buys ice cream and lemons at the store. She pays a total of $18.80. She pays $2.52 for the ice cream. She buys 4 bags of lemons that each cost the same amount. Which equation could be used to determine x x, how much each bag of lemons costs?
The equation that could be used to determine the cost of each bag of lemons is $2.52 + 4x = $18.80
Writing an equation
From the question, we are to determine the equation which could be used to determine, x, the cost of each bag of lemons
From the given information,
"She pays a total of $18.80 and she pays $2.52 for the ice cream"
Also,
"She buys 4 bags of lemons"
Then,
we can write that
$2.52 + 4x = $18.80
Hence, the equation that could be used to determine the cost of each bag of lemons is $2.52 + 4x = $18.80
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Pls solve 4m-6=24 pls and thank u
14.
Calculate the voltage at point A
in this circuit.
A-
1V-
0.2mA
56ΚΩ
O Associative Property of Multiplication
Zero Property of Multiplication
Identity Property of Multiplication
3. 270.0=0
Question 1 of 10
What is the approximate distance between the points (-3,-4) and (-8, 1) on a
coordinate grid?
O A. 11.40 units
OB. 12.08 units
O C. 7.07 units
D. 3.16 units
Answer:
Step-by-step explanation:
Answer:
the approximate distance between the points is
√25+25 = 5√2
=7.07
Step-by-step explanation:
2 Write 386 in expanded form
Answer:
300+ 80+6
Step-by-step explanation:
i think i not sure
i need to type in two answers! the value and measure pls!!!!