The relation {(5 , 11) , (-9 , 3) , (0 , 9) , (-6 , 11)} is a function ⇒ C
Step-by-step explanation:
Let us revise the relation and the function:
A relation is a set of inputs and outputsA function is a relation with one output for each inputIn the function every input has only one output, that means the input can not be repeatedEx: {(-1 , 3) , (0 , -1) , (-1 , 0)} is not a function because the input -1 has two outputs 3 and 0A. {(11 , 5) , (3 , -9) , (11 , -6)
∵ The input 11 has two outputs 5 and -6
∵ In the function each input has only one output
∴ The relation is not a function
B. {(0 , 11) , (-9 , 3) , (0 , 9) , (-9 , -6)
∵ The inputs 0 and -9 have two outputs 11 , 9 and 3 , -6
∵ In the function each input has only one output
∴ The relation is not a function
C. {(5 , 11) , (-9 , 3) , (0 , 9) , (-6 , 11)}
∵ Each input has only one output
∵ In the function each input has only one output
∴ The relation is a function
D. {(5 , 11) , (-9 , 3) , (0 , 9) , (0 , -6)}
∵ The input 0 has two outputs 9 and -6
∵ In the function each input has only one output
∴ The relation is not a function
The relation {(5 , 11) , (-9 , 3) , (0 , 9) , (-6 , 11)} is a function
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Answer:
D
Step-by-step explanation:
In the problems below, f(x) = log₂x and
g(x) = log₁₀x
Which point do the graphs of f and g have in common?
Answer:
(1,0)
Step-by-step explanation:
The given functions are:
f(x) = log₂x
and
g(x) = log₁₀x
We know that logarithm of 1 is always zero.
This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1
Therefore the point the graphs of f and g have in common is (1,0)
Answer:
B,C
(1,0)
F
Step-by-step explanation:
Professor Ivy has following scores on her final exams: 97 88 66 55 89 72 94 32 84 89 72 76 77 Express answers rounded correctly to the nearest tenth
Answer:
The rest of the question:
Find Mean, Median, Mode, 25th Percentile, 75th Percentile, Maximum, Minimum, Range and IQR.
Let's begin by placing the data points in order from least to greatest:
32 55 66 72 72 76 77 84 88 89 89 94 97
n = 13
1) Mean sometimes called the average = the sum of the data over its number
Mean =( 32+55+66+72+72+76+77+84+88+89+89+94+97 )/13 =
= 991/13 = 76.23 ≈ 76.2 (to the nearest tenth)
2) Median is the middle data point = 77
3) Mode is any number within a set that occurs the most often
Mode = 72 and 89
We will making a data in suitable form to find the remaining requirements:
(32 55 66 72 72 76) 77 (84 88 89 89 94 97)
4) 25th Percentile = Quartile 1 (Q1) which is the median of the first set of data
∴ 25th Percentile = (66+72)/2 = 138/2 = 69
5) 75th Percentile= Quartile 3 (Q3) which is the median of the second set of data
∴ 75th Percentile = (89+89)/2 = 89
6) Maximum = 97
7) Minimum = 32
8) Range = Maximum - Minimum = 97 - 32 = 65
9) IQR (interquartile range) = Q3 - Q1 = 89 - 69 = 20
Volunteers for a political campaign gave out 21/38 of their fliers. They gave out the remaining 612 fliers in another neighborhood. What is the total number of fliers they gave out
Answer:
The total number of fliers the volunteers gave out is 1,368
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Amount of fliers the volunteers gave for a political campaign = 21/38
Remaining 612 were given out in another neighborhood
2. What is the total number of fliers they gave out?
x = Total of fliers
Let's solve for x, this way:
x - 21x/38 = 612
38x - 21x = 612 * 38 (38 is the Lowest Common Denominator)
17x = 23,256
x = 23,256/17
x = 1,368
The total number of fliers the volunteers gave out is 1,368
What is (-5.6) Please help
Answer:
Step-by-step explanation:
-5 means the x coordinate
and 6 means the y coordinate
What is the common difference in the arithmetic sequence 10, 8, 6, 4, ...?
20pts
Answer:common difference is -2
Step-by-step explanation:
Answer:common difference is -2
Step-by-step explanation:
The sequence is arithmetic if the difference between consecutive terms is constant.
Alice earns a monthly salary of $315 plus a commission on her total sales.last month her total sales were $9640, and she earned a Total of $1182.60. What is her commission rate ?
Answer:
The commission rate is 9%
Step-by-step explanation:
We are given;
Alice's monthly salary is $315 Total sales were $9640Total earnings are $1182.60We are required to determine the commission rate;
We need to know that;
Total earnings = Monthly salary + Commission
Therefore;
Commission = Total earnings - monthly salary
= $1182.60 - $315
= $867.6
Therefore, assuming the commission rat is x %
Then;
x/100 × $9640 = $867.6
x/100 = $867.6 ÷ $9640
x/100 = 0.09
x = 9%
Therefore, the commission rate is 9%
The table of values below represent a function.
Select all of the values of z that will make the relationship a function.
x y
3 3
4 5
5 6
z 5
6 10
A: 0
B: 2
C: 3
D: 5
E: 6
F: 10
Answer:
A) 0
B) 2
F) 10
Step-by-step explanation:
This is because these are not on the chart already and the other choices are. Each input can only have 1 output for it to be a function,
If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nearest tenth if necessary
Answer:
Therefore side B= 11.18 and side A=2×11.18=22.36.
Step-by-step explanation:
Given,side A is twice as long as B and C is 25.
Let side B= x
Then side A = 2x
Using Pythagorean Theorem,
A²+B²=C²
⇔(2x)²+x²=25²
⇔4x²+x²=625
⇔5x²=625
⇔x²=125
⇔x=√125
⇔x =11.18
Therefore side B= 11.18 and side A=2×11.18=22.36.
Answer:
The length of side A is 22.4 and length of side B is 11.9.
Step-by-step explanation:
Given:
If side A is twice as long as B and C is 25.
Solve by using the Pythagorean Theorem.
Now, to get the lengths of side A and side B.
As side C = 25.
Let the side B be [tex]a.[/tex]
As, given A is twice as long as B.
So, the side A be [tex]2a.[/tex]
So, we solve by using Pythagorean Theorem:
A² + B² = C²
[tex](2a)^2+(a)^2=(25)^2[/tex]
[tex]4a^2+a^2=625[/tex]
[tex]5a^2=625[/tex]
Dividing both sides by 5 we get:
[tex]a^2=125[/tex]
So, using square root on both sides we get:
[tex]a=11.18.[/tex]
Rounding to the nearest tenth B = 11.9.
Now, to get A by putting the value of [tex]a[/tex]:
[tex]2a\\=2\times 11.18\\=22.36.[/tex]
Rounding to the nearest tenth A = 22.4.
Therefore, the length of side A is 22.4 and length of side B is 11.9.
What kind of solution is x(5 - 2) = 4x - x
Answer:
x=x or it cancels out, it's one of those.
Determine the fraction of total interest owed using the rule of 78.
After the six month of a 12 month loan, the numerator is: {(n+11)+(n+10)+(n+9)+(n+8)+(n+7)+(n+6)) =
A.78
B. 57
C.51
The denominator is: ((n)+(n+1)+...+(n+11)} =
A.51
B.78
C.57
Therefore, the fraction is numerator/denominator (to the nearest tenth) =
A.73.1%
B.65.4%
C.136.8%
Answer:
The numerator is 57 ⇒ B
The denominator is 78 ⇒ B
The value of the fraction is 73.1% ⇒ A
Step-by-step explanation:
Let us solve it step by step
∵ The loan is 12 month
∵ The numerator is after 6 month
- Put n = 1 in each bracket
∴ The numerator = {(1 + 11) + (1 + 10) + (1 + 9) + (1 + 8) + (1 + 7) + (1 + 6)}
∴ The numerator = {12 + 11 + 10 + 9 + 8 + 7}
∴ The numerator = {57}
The numerator is 57
∵ The denominator = {(n) + (n + 1) + (n + 2) + .......... + (n + 11)}
- Do the same as the numerator put n = 1
∴ The denominator = {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12}
∴ The denominator = {78}
The denominator is 78
Now find the value of the fraction
∵ The fraction = [tex]\frac{57}{78}[/tex]
∴ Its value = 0.730769230
- Multiply it by 100%
∴ Its value = 0.730769230 × 100% = 73.0769230%
- Round it to the nearest tenth
∴ Its value = 73.1%
The value of the fraction is 73.1%
The admission fee to the carnival is $4.50 for children and $7.25 for adults. If a large group purchased 28 tickets and paid $159 how many adult tickets did they purchase?
Answer: 11.636 = 12 tickets to a whole figure
Step-by-step explanation:
Let the number of adult tickets be x and y represent children tickets.
From the question;
x + y = 28 ....... equation (i)
(7.25*x) + (y*4.50) = 158
7.25x + 4.50y = 158 ........ equation (ii)
From equation (i);
x + y = 28
y = 28 - x ...... equation (iii)
Put equation (iii) into equation (ii)
7.25x + 4.50(28 - x) = 158
7.25x + 126 - 4.50x = 158
Collect like terms and subtract
2.75x = 32
x = 11.636 approximately 12 to a round number.
Put x = 11.636 into equation (i)
11.636 + y = 28
y = 28 - 11.636
y = 16.364 approximately 16 to a whole number
Final answer:
To find the number of adult tickets purchased, we can set up two equations: C + A = 28, and 4.50C + 7.25A = 159. By solving the equations, we determine that 12 adult tickets were purchased for the carnival.
Explanation:
The question asks us to determine the number of adult tickets purchased for a carnival, given the cost of children's tickets, the cost of adult tickets, and the total amount paid for a group of tickets. Let's take the number of adult tickets as A and the number of children's tickets as C. According to the given information, the admission fee for children is $4.50 and for adults is $7.25. Also, we know that 28 tickets were purchased for a total of $159.
We can set up the following system of equations based on the information provided:
C + A = 28 (since the total number of tickets is 28)
4.50C + 7.25A = 159 (this represents the total cost of all tickets)
We can solve this system of equations using substitution or elimination method. If we rearrange the first equation to get C = 28 - A and substitute it into the second equation, we get:
4.50(28 - A) + 7.25A = 159
126 - 4.50A + 7.25A = 159
2.75A = 33
A = 33 / 2.75
A = 12
Hence, the number of adult tickets purchased is 12.
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Suppose that it takes Calvin 3 hours to wax a car if he works alone and it takes Alvin 5 hours to wax a car if he works alone. How long does it take them to wax a car if they work together? Write an equation and solve for the unknown. Show your work.
Answer:
It will take 3.6 hours to wax a car if they work together.
Step-by-step explanation:
Calvin one hour work = [tex]\frac{1}{3}[/tex]
Alvin one hour work = [tex]\frac{1}{5}[/tex]
To find out how much they can do together per hour,
We have to add [tex]\frac{1}{3}[/tex] and [tex]\frac{1}{5}[/tex]
= [tex]\frac{1}{3} + \frac{1}{5} = \frac{(5 + 3)}{15}[/tex]
= [tex]\frac{8}{15}[/tex] --------------(1)
They can do [tex]\frac{8}{15}[/tex] of the job per hour.
If "t" is the time taken to finish the job together, then one hour work
[tex]\frac{1}{t}[/tex] ------------------------(2)
Now we have to find the value of "t" by setting the expression (1) and (2) equal.
[tex]\frac{8}{15} = \frac{1}{t}[/tex]
It can solve by flipping the equation;
[tex]\frac{t}{1} = \frac{18}{5}[/tex]
t = 3.6 hours
It will take 3.6 hours to wax a car if they work together.
Match the verbal expression (term) with its algebraic expression (definition).
Match Term Definition
Some number increased by two A) a ÷ 2
A variable decreased by two B) x − 2
Product of an unknown value and two C) y2
Quotient of some number and two D) 2z
An unknown value squared E) b + 2
Some number increased by two = b + 2
A variable decreased by two = x - 2
Product of an unknown value and two = 2z
Quotient of some number and two = [tex]a \div 2[/tex]
An unknown value squared = [tex]y^2[/tex]
Solution:
Some number increased by two
Let the number be "b"
Therefore, "b" is increased by two
Here, "increased" means added
Thus we get,
Some number increased by two = b + 2
A variable decreased by two
Let the number be "x"
Therefore, "x" is decreased by two
Decreased means reduced or subtraction
Thus we get,
A variable decreased by two = x - 2
Product of an unknown value and two
Let the unknown value be "z"
Product means "multiplication"
Therefore, product of "z" and 2
Product of an unknown value and two = 2z
Quotient of some number and two
Let the some number be "a"
Quotient means result of division
Quotient of some number and two = [tex]a \div 2[/tex]
An unknown value squared
Let the unknown value be "y"
Squared means multiplied by itself
An unknown value squared = [tex]y^2[/tex]
Answer
answer above is correct
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation with the correct solution.
I
=
-8
=
8
m
=
9
I
=
15
3150 – 9) = 2(5x + 6)
4(35 + 5) – 3 = 9.5 – 7
-
5(5 + 7) – 3(3 – 4) = 7x +:
The solutions are [tex]x=15, x=-8[/tex] and [tex]x=9[/tex]
Explanation:
Part a: The equation is [tex]\frac{1}{3} (5x-9)=2(\frac{1}{3} x+6)[/tex]
Let us find the value of x.
Multiply the terms within the bracket, we get,
[tex]\frac{5}{3} x-3=\frac{2}{3} x+12[/tex]
Subtracting both sides by [tex]\frac{2}{3} x[/tex], we have,
[tex]\frac{3}{3} x-3=12[/tex]
Adding both sides by 3,
[tex]x=15[/tex]
Thus, the solution of the equation [tex]\frac{1}{3} (5x-9)=2(\frac{1}{3} x+6)[/tex] is [tex]x=15[/tex]
Part b: The equation is [tex]4(3x+5)-3=9x-7[/tex]
Multiply the terms within the bracket, we get,
[tex]12x+20-3=9x-7[/tex]
Subtracting both sides by 9x, we have,
[tex]3x+17=-7[/tex]
Subtracting both sides by 17,
[tex]3x=-24[/tex]
Dividing both sides by 3, we have,
[tex]x=-8[/tex]
Thus, the solution of the equation [tex]4(3x+5)-3=9x-7[/tex] is [tex]x=-8[/tex]
Part c: The equation is [tex]5(x+7)-3(x-4)=7x+2[/tex]
Multiply the terms within the bracket, we get,
[tex]5x+35-3x+12=7x+2[/tex]
Adding the like terms, we have,
[tex]2x+47=7x+2[/tex]
Subtracting both sides by 2 and 2x, we get,
[tex]45=5x[/tex]
Dividing both sides by 5, we have,
[tex]x=9[/tex]
Thus, the solution of the equation [tex]5(x+7)-3(x-4)=7x+2[/tex] is [tex]x=9[/tex]
This question requires understanding of mathematical equations and their solutions. The answer derives from equations wherein you first simplify inside parentheses, follow with multiplications or other operations, then isolate variables. The solutions to these equations can then be matched with each one.
Explanation:The task here is drag the tiles to the correct boxes to complete the pairs and match each equation with the correct solution. This is a mathematical practice that requires algebraic methods. Let's solve the equations one by one:
Example 1: 5(3150 - 9) = 2(5x + 6)
First, perform the functions inside the parentheses, then distribute accordingly. Afterwards, isolate the variable to one side of the equation to find its value:
Example 2: 4(35 + 5) - 3 = 9.5 - 7
Follow the same steps as above to match this equation with its solution:
Example 3: 5(5 + 7) - 3(3 - 4) = 7x +:
Again, simplify inside the parentheses first, then distribute and isolate the variable. This process will provide solutions to match with each equation:
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Troy took out a loan for $1850 at a 9.6% APR, compounded monthly, to buy a
television. If he will make monthly payments of $102.50 to pay off the loan,
which of these groups of values plugged into the TVM Solver of a graphing
calculator could be used to calculate the number of payments he will have to
make?
EN
V
.CN
O A. N=;1% = 9.6; PV=-1850; PMT=102.5; FV=0; P/Y=12; C/Y=12;
PMT:END
O B. N=; 1% = 0.8; PV=-1850; PMT=102.5; FV=0; P/Y=12; C/Y=12;
PMT:END
O C. N=; 1% = 9.6; PV=-1850; PMT=102.5; FV=0; P/Y=1; C/Y=12;
PMT:END
O D. N=; 1% = 0.8; PV=-1850; PMT=102.5; FV=0; P/Y=1; C/Y=12;
PMT:END
Answer:A
N=; 1% = 9.6; PV= -180; PMT 102.5; FV=0; P/Y=12, C/Y=12;PMT ;END
Final answer:
The correct TVM Solver setup for Troy's loan has a monthly interest rate of 0.8% and the rest of the parameters reflect the details of the loan and payment structure, making Option B the right choice.
Explanation:
To calculate the number of monthly payments Troy will have to make to pay off the loan for the television, we can use the Time Value of Money (TVM) formula where certain values will be plugged into the TVM Solver of a graphing calculator. Given the loan amount ($1850) and APR (9.6% annually, compounded monthly), we have to adjust the annual percentage rate to a monthly rate by dividing it by 12 months, resulting in a 0.8% monthly interest rate. Therefore, the values entered should reflect a monthly rate, not an annual rate.
The correct setup for the TVM Solver would be:
N=?I%=0.8 (9.6% annual rate divided by 12 months)PV=-1850 (Present Value of the loan, negative because it's money owed)PMT=102.5 (Monthly payment)FV=0 (Future Value, which should be zero after the loan is paid off)P/Y=12 (Payments per year)C/Y=12 (Compounding periods per year)PMT:END (Payments are made at the end of the period)Therefore, the correct answer is Option B, where the monthly interest rate is accurately represented.
I Suck at maths
Put the following in order from smallest to largest.
Answer:
0.027, [tex]\frac{1}{6}[/tex], 23%, 0.29, [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Here we have to convert the fractions and percents to decimal form, then we have to arrange them from smallest to largest.
[tex]\frac{1}{6} = 0.167[/tex]
23% = [tex]\frac{23}{100} = 0.23[/tex]
[tex]\frac{3}{5} = 0.6[/tex]
0.29
0.027
Now we have to arrange from smallest to largest.
0.027 < 0.167 < 0.23 < 0.29<0.6
From smallest to largest
0.027, [tex]\frac{1}{6}[/tex], 23%, 0.29,[tex]\frac{3}{5}[/tex]
Solve: 746 ÷ 11
Show the remainder as a fraction.
The correct answer is [tex]67\frac{9}{11}[/tex]
Write the problem in long division format,
Divide 74 by 11 to get 6,
Multiply the quotient digit (6) by the divisor 11,
Subtract 66 from 74,
Bring down the next number of the dividend,
Divide 86 by 11 to get 7,
Multiply the quotient (7) by the divisor 11,
subtract 77 from 86.
[tex]\(746 \div 11\)[/tex] equals 67 with a remainder of 9. The remainder expressed as a fraction is [tex]68\frac{2}{11}\).[/tex]
To solve the division problem 746 ÷ 11 and express the remainder as a fraction, we can perform the long division as follows:
Step 1: Divide 7 by 11, which is 0 with a remainder of 7. So, the first digit of the quotient is 0, and we bring down the next digit, which is 4, to form the dividend 74.
Step 2: Now, divide 74 by 11. The largest multiple of 11 that does not exceed 74 is 6 times 11, which is 66. The remainder is 74 - 66 = 8.
Step 3: Bring down the next digit, which is 6, to form the new dividend 86.
Step 4: Divide 86 by 11. The largest multiple of 11 that does not exceed 86 is 7 times 11, which is 77. The remainder is 86 - 77 = 9.
Step 5: Finally, bring down the last digit, which is 0, to form the new dividend 90.
Step 6: Divide 90 by 11. The largest multiple of 11 that does not exceed 90 is 8 times 11, which is 88. The remainder is 90 - 88 = 2.
Now, we have completed the long division. The quotient is 68, and the remainder is 2. To express the remainder as a fraction, we can write it as [tex]\(\frac{2}{11}\).[/tex]
So, [tex]\(746 \div 11 = 68\frac{2}{11}\).[/tex]
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Is it undefined? I'm not sure.
Answer:
no
Step-by-step explanation:
the line has a value which is y=7
Answer: Zero slope
Step-by-step explanation: A common mistake made by many students is to confuse what no slope is and what zero slope.
If a line has a slope of zero, it means that the line is flat or horizontal.
No slope is a vertical line or straight up and down. No slope means that we cannot describe its slope using a number because its line is vertical and it's slope is undefined. This has to do with dividing a number by 0. When you do this, you should get an error message or it should say undefined.
So, this line would have zero slope because it's flat.
Write an equation for the line that passes through (2, 4) and (1, 0).
Equation of the line is y = 4x + 4
Step-by-step explanation:
Step 1: Given that the line passes through (2,4) and (1,0). Equation in slope-intercept form is y = mx + bStep 2: Find slope, m using the formula m = (y2 - y1)/(x2 - x1)⇒ m = (0 - 4)/(1 - 2) = -4/-1 = 4
Step 3: Find the y-intercept.⇒ b = 4
Step 3: Substitute the values in the equation⇒ y = 4x + 4
Multiply the following 11 x square Y and 2 x square y square
Answer:
[tex]22 x^4y^3[/tex]
Step-by-step explanation:
[tex]11x^2y\times 2x^2y^2\\[/tex]
by multiplying
[tex]=11 \times 2 \times x^2 \timesx^2 \times y \times \times y^2\\=22 \times x^{2+2}y^{1+2}\\=22 x^4y^3[/tex]
. Cole spent some time
working on his
history homework. Then, he
spent 5/12
hour working on his Spanish
homework. Cole spent 1 hour
on
homework. What fraction of an
hour
did Cole spend on history? A
2/12 B5/12 C7/12 D12/12
Final answer:
Cole spent 7/12 hours on history homework after spending 5/12 hours on Spanish homework, with the total homework time being 1 hour.
Explanation:
The student asked: Cole spent some time working on his history homework. Then, he spent 5/12 hour working on his Spanish homework. Cole spent 1 hour on homework. What fraction of an hour did Cole spend on history? To find the time Cole spent on history homework, we subtract the time he spent on Spanish homework from the total homework time. Cole's total homework time is 1 hour, which is equivalent to 12/12 hours.
Therefore, the time spent on history homework is: 12/12 hours (total time) - 5/12 hours (Spanish homework) = 7/12 hours on history homework. So, the correct answer is C) 7/12.
Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the
scale 1 inch:2 feet.
(a) What is the length of the garden in her model? Show your work, including your proportion
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model
drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Answer:
(a) 3 inches(b) Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.Explanation:
(a) What is the length of the garden in her model? Show your work, including your proportion
1. Scale:
model length / real length = 1 inch / 2 feet2. Proportion:
Naming x the model length:
1 inch / 2 feet = x / 6 feetCross multiply:
1 inch × 6 feet = 2 feet × xDivide both sides by x:
x = 1 inch × 6 feet / 2 feet = 3 inch.Answer: 3 inches
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.
In the model the ratio of the length to the width is 3 inch / 5 inch
In the paper the ratio of the length to the width is 8.5 inch / 7 inch
Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.
GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. d dollars for 18.4 quarts 24 dollars for 6 quarts a. 24/d = 18.4/6; d = 7.8 c. d/24 = 18.4/6; d = 73.6 b. d/24 = 18.4/6; d = 72 d. d/24 = 6/18.4; d = 8
Answer:
Hello, I think your answer is d/24 = 18.4/6
Hope This helps
Find the value of X.!?
Answer:
x = 50
Step-by-step explanation:
140 = 85 + 1/2 x + 30
140 = 115 + 1/2x
25 = 1/2 x
x = 50
Which solution to the equation StartFraction 1 Over x minus 1 EndFraction = StartFraction x minus 2 Over 2 x squared minus 2 EndFraction is extraneous?
Answer:
Therefore x = 1 is an extraneous solution.
Step-by-step explanation:
The solution to the equation StartFraction 1 Over x minus 1 EndFraction = StartFraction x minus 2 Over 2 x squared minus 2 EndFraction
[tex]\Rightarrow \frac{1}{x - 1} = \frac{x- 2}{2x^2-2} \hspace{0.3cm} \Rightarrow \hspace{0.3cm} 2x^2 - 2 = (x-1)(x-2)[/tex]
therefore [tex]2x^2 - 2 = x^2 - 3x + 2 \hspace{0.3cm} \Rightarrow \hspace{0.3cm} x^2 + 3x - 4 = 0[/tex]
therefore [tex]x^2 + 3x - 4 = 0 \hspace{0.3cm} \Rightarrow = \hspace{0.3cm} (x-1)(x+4) = 0 \\[/tex]
therefore x = 1 and x = -4 but we can see that if we place x = 1 in the original solution then [tex]\frac{1}{x-1} = \frac{1}{1-1} = \frac{1}{0}[/tex] which is indeterminate.
Therefore x = 1 is an extraneous solution.
Answer:
C. x = 1
Step-by-step explanation:
Which solution to the equation StartFraction 1 Over x minus 1 EndFraction = StartFraction x minus 2 Over 2 x squared minus 2 EndFraction is extraneous?
x = 1 and x = –4
neither x = 1 or x = –4
x = 1
x = –4
Please answer 7 and 8 !!!!!!
Answer:
B and C
Step-by-step explanation:
7 would be B. m = 2
8 would be C m = -1/2
If a line is parallel, then the slop is the same. If it is perpendicular, the it will be the opposite sign and the reciprocal. So parallel would be 2 and perpendicular would be -1/2
Hope this helped! :)
Answer:
7. m= -2
8. m= -1/2
Step-by-step explanation:
picture is taken
what is the energy stored in a spring when it is compressed 5mm by a 60N force?
Answer:
can you elaborate?
Step-by-step explanation:
Answer: 0.15J
Step-by-step explanation:
Fom th question, we obtained the following information:
F = 60N
e = 5mm
We need to covert 5mm to m
1mm = 0.001m
5mm = 5 x 0.001 = 0.005m
We need to find the spring constant (K) for the spring. This is illustrated below:
K = F / e
K = 60 / 0.005 = 12000N/m
Now we can obtain the energy stored on the spring by the doing following:
Energy = 1/2 Ke^2
Energy = 1/2 x 12000 x (0.005)^2
Energy = 0.15J
HELP? please asap!! ty
Answer:
BF = 30
Step-by-step explanation:
[tex]BF=\frac{1}{2}*CE\\\\=\frac{1}{2}*60=30[/tex]
The line segment connecting the midpoint of two sides of a triangle is parallel to the third side and half the length of the that third side
Engs
Diuje
Ocrying
apporturomrmace
What is the central idea in this
passage?
Which phrase best supports this central
idea?
(1) But when cities or countries are accustomed to live
under a prince, and his family is exterminated, they
being on the one hand accustomed to obey and on the
other hand not having the old prince, cannot agree in
making one from amongst themselves, and they do not
know how to govern themselves. (2) For this reason they
are very slow to take up arms, and a prince can gain them
to himself and secure them much more easily. (3) But in
republics there is more vitality, greater hatred, and more!
desire for vengeance, which will never permit them to
allow the memory of their former liberty to rest; so that
the safest way is to destroy them or to reside there.
-The Prince,
Niccolò Machiavelli
Intro
Done
Answer:
1: a prince can use violence to keep control.
2: the safest way is to destroy them.
Answer:
For those who need this:
Step-by-step explanation:
Which text structure does Machiavelli use in this passage?
✔ cause and effect
Which signal word or words help you identify this structure?
✔ “for this reason”
How does this text structure help the author convey his central idea?
✔ It explains why destroying a state is successful.
Can someone help please? I don’t understand this.
Answer:
PS = 28 units.
Step-by-step explanation:
See the attached diagram.
This is a figure of rectangle with length (3y + 3) and width 4y.
Now, the perimeter of the rectangle is 2[(3y + 3) + 4y] = 2(7y + 3)
The perimeter of the rectangle is given to be 104 units.
So, 2(7y + 3) = 104
⇒ 7y + 3 = 52
⇒ 7y = 49
⇒ y = 7
Therefore, PS = 4y = 4(7) = 28 units. (Answer)