a = 18
d = 16 - 18 = -2
an = a + (n - 1) × d
an = 18 + (n - 1) × (-2)
an = 18 - 2n + 2
an = -2n + 20
Find a 33 matrix Sij so that the product SijA is the same as the matrix A after applying the row operation Ri $ Rj .
Answer:
We want the ith row of the new matrix SijA to be the old jth row of A, so we need the ith row of Sij to extract the jth entry of column of A.
This mean the ith row of Sij must have a 1 in the jth entry and 0's everywhere else.
Similarly, the jth row of Sij must have a 1 in the ith entry and 0's everywhere else.
in the piecewise notation this is
(Sij)kl ={1 if k=i and l=j, 1 if k=k and l=i; 1 if k=l but k#i,j, 0 otherwise
Step-by-step explanation:
Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
numbers are 24 and 210
Step-by-step explanation:
the number are : 24(2x2x2x3) and 210 (3x2x5x7)
GCF of 24 and 210 is 6
LCM of 24 and 210 is 840
9514 1404 393
Answer:
a. numbers: 24, 210
b. GCF = 6
c. LCM = 840
Step-by-step explanation:
The number each circle represents is the product of the factors in that circle:
red circle: 2×2×2×3 = 24
blue circle: 2×3×5×7 = 210
The numbers represented in the diagram are 24 and 210.
__
The GCF is the product of the common factors--the factors in the portion of the diagram where the circles overlap:
GCF = 2×3 = 6
__
The LCM is the product of all of the factors shown in the diagram:
LCM = 2×2×2×3×5×7 = 840
_____
Additional comment
I personally find this a nice way to represent two numbers, their GCF, and their LCM. Note that there cannot be any numbers in the red (only) part of the diagram that are also in the blue (only) part of the diagram. Any common factors belong in the overlap portion of the diagram.
This diagram makes it easy to see that the LCM is the product of the numbers, divided by their GCF. (The product of the two numbers will have the center portion of the diagram appear twice in the product. It only appears once in the LCM.)
Pls help meeee the question is in the photo pls no links or fake answers pls answer both questions
Answer:
Step-by-step explanation:
First one is TRUE...you'd multiply by negative one third
Second is FALSE...no multiplication needed to get x as a positive.
so i have 1,521,588 poker chips how much do i need to get 2 million (poker chips on a game called pokerstars vr)
Answer: 478,412
Step-by-step explanation:
In order to do this just take 2 million and subtract the number of chips you wanted to take away. For example, it'd be 2,000,00 - 1,521,588 which leaves you with 478,412.
Solve them ALL... BWAHAHAHAHAHAHAHAHAHAHAHAHAHAHA. Anyway Good LUCK
the first one is (B) i think
the second one is (B)
the third one is (B)
the fourth one is (A)
the fifth one is (A)
2) Subtract and simplify. 11 7\10 − 7 3\10 =
Answer:
4 2/5
Step-by-step explanation:
11 7/10
- 7 3/10
----------------
4 4/10
4 4/10 = 4 2/5
5. The recursive algorithm given below can be used to compute gcd(a, b) where a and b are non-negative integer, not both zero.
procedure gcd(a, b)
if a b then gcd(a, b) := = gcd (b, a)
else if a = 0 then gcd (a, b) = b
else if a = 1 then gcd (a, b) :
:=1
else if a and b are even then gcd(a, b) 2gcd(a/2, b/2) := else if a is odd and b is even then gcd(a, b) := gcd(a, b/2)
else gcd(a, b) := gcd(a, b - a)
Use this algorithm to compute
(a) gcd(124, 244)
(b) gcd (4424, 2111).u
Implementating the given algorithm in python 3, the greatest common divisors of (124 and 244) and (4424 and 2111) are 4 and 1 respectively.
The program implementation is given below and the output of the sample run is attached.
def gcd(a, b):
#initialize a function named gcd which takes in two parameters
if a>b:
#checks if a is greater than b
return gcd (b, a)
#if true interchange the Parameters and Recall the function
elif a == 0:
return b
elif a == 1:
return 1
elif((a%2 == 0)and(b%2==0)):
#even numbers leave no remainder when divided by 2, checks if a and b are even
return 2 * gcd(a/2, b/2)
elif((a%2 !=0) and (b%2==0)):
#checks if a is odd and B is even
return gcd(a, b/2)
else :
return gcd(a, b-a)
#since it's a recursive function, it recalls the function with new parameters until a certain condition is satisfied
print(gcd(124, 244))
print()
#leaves a space after the first output
print(gcd(4424, 2111))
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Work out the length x. 14cm, 7cm , right angle triangle
The given triangle is a right angled triangle. So we can use the pythagorean theorem to solve this.
Hypotenuse = 14 cm
Altitude = 7 cm
Base = x cm
Using pythagorean theorem,
Hypotenuse² = Base² + Altitude²
14² = x² + 7²
14² - 7² = x²
196 - 49 = x²
147 = x²
√147 = x
12.124 = x (approx.)
_________
Hope it helps ⚜
Complete the table of values for this equation: y = 3x +10 Enter your answer by filling in the boxes. x y 4 5 6
x=4,5,6
x=4
[tex]\\ \sf\longmapsto y=3(4)+10[/tex]
[tex]\\ \sf\longmapsto y=12+10=22[/tex]
x=5
[tex]\\ \sf\longmapsto y=3(5)+10=15+10=25[/tex]
x=6
[tex]\\ \sf\longmapsto y=3(6)+10=18+10=28[/tex]
Step-by-step explanation:
y = 3x + 10
x = 4, 5, 6Soo :
y = 3(4) + 10 = 12 + 10 = 22
y = 3(5) + 10 = 15 + 10 = 25
y = 3(6) + 10 = 18 + 10 = 28
Christa sells bracelets during the summer months to earn some extra money. She
made this pictograph to represent her sales for last summer.
Bracelets Sold
June
July
August
=4 bracelets
How many bracelets did Christa sell in June and July?
8
32
12
40
Answer:
32 bracelets
Step-by-step explanation:
First multiply each bracelet by 4 to get the correct amount:
3x4=12
4x5=20
Then, add the two.
12+20=32
find the perimeter of the triangular shaped sandwich
Answer:
P = 12 + 5x
Step-by-step explanation:
P = a + b + c
P = 7 + (x + 4) + (4x + 1)
= 7 + x + 4 + 4x + 1
= 12 + 5x
Let F(x) =( 3x/2) - (14/3) for x = 4. What is the value for F(x)
Answer:
f(4) = 1.4
Step-by-step explanation:
f(x) = (3x/2) - (14/3)
We are given that x = 4
f(4) = (3(4)/2) - (14/3)
f(4) = (12/2) - (14/3)
f(4) = 6 - (14/3)
14/3 as a decimal is 4.6
f(4) = 6 - 4.6
f(4) = 1.4 (approximately)
simplify the square root of -180
please show work
Answer:
6sqrt5
Step-by-step explanation:
Four times the product of a number x and a number y is equal to 20.
Step-by-step explanation:
4x×y=20
.....
..................................
The expression for four times the product of a number x and a number y is equal to 20 is 4xy = 20.
Given,
Four times the product of a number x and a number y is equal to 20.
We need to write the expression.
What is the meaning of the mathematical terms?- 2 times M = 2 x M
- Product of M and N = M x N
- 3 more than M = M + 3
- 3 less than M = M - 3
Find the expression.
We have,
Four times the product of a number x and a number y is equal to 20.
Here,
The product of a number x and a number y can be written as:
= (x) x y
Four times the product of a number x and a number y can be written as:
= 4 x [ (x) x y ]
- is equal to 20 can be written as:
= 20
Now,
We get,
4xy = 20
Thus the expression for Four times the product of a number x and a number y is equal to 20 is 4xy = 20.
Learn more about how to write an expression here:
https://brainly.com/question/15284271
#SPJ2
Which of the following is a solution to the given equation?
y=-3x - 7
A)
(-2,-1)
B)
(-1,-10)
C
(4,-5)
D
(3,-2)
Answer: A
Step-by-step explanation:
By replacing in the given equation:
y=-3x-7
y=-3(-2)-7
y=6-7
y=-1
But for choices B, C and D the given x values don't fit with the images.
The books have been sorted into fiction and nonfiction. The number of fiction books is 5 less than 4 times the number of nonfiction books. The books are 70% fiction. Choose the equation that best represents this scenario.
x over quantity 4 times x minus 5 end quantity equals 30 over 100
x over quantity 4 times x minus 5 end quantity equals 30 over 70
The number of fiction books are 7 and number of non fiction books are 3 respectively
let
number of fiction books = x
number of non fiction books = y
x = 4y - 5
Total books = z
x = 70% of z
y = 30% of z
x + y = z
4y - 5 + 30%(z) = z
4y - 5 + 0.3z = z
4y - 5 = z - 0.3z
4y - 5 = 0.7x
4y - 5 = 0.7z
4(0.3z) - 5 = 0.7z
1.2z - 5 = 0.7z
-5 = 0.7z - 1.2z
-5 = - 0.5z
z = -5/-0.5
z = 10
Therefore,
the number of non fiction = 30% of z
= 0.3 × 10
= 3
number of fiction = 70% of z
= 0.7 × 10
= 7
Learn more about equation:
https://brainly.com/question/16450098
If 11% of a number equals 4, find 66% of that number.
Answer:
363/20,000
.................................................................................
Answer:
24
Step-by-step explanation:
Let the number be " x ".
11 % of x = 4
( 11 / 100 ) * x = 4
x = 4 * ( 100 / 11 )
x = 400 / 11
66 % of that number
= 66 % of x.
= 66 % of 400 / 11
= ( 66 / 100 ) x ( 400 / 11 )
= ( 66 x 400 ) / ( 100 x 11 )
= 6 x 4
= 24
Express 0.03 as a percentage of 1
Answer:
3%
Step-by-step explanation:
[tex] \frac{0.03}{1} \times 100[/tex]
0.03=3/100 So
[tex] \frac{3}{100} \div 1 \times 100[/tex]
=3%
Use the diagram below. What is the value of z?
(Picture included) it would mean sm if anyone could help
[tex]z = 29°[/tex]
Step-by-step explanation:
According to the triangle angle sum theorem, the sum of the interior angles of a triangle is 180°. So for [tex]\triangle{ABD},[/tex] the sum of its interior angles is
[tex]43 + 59 + x = 180[/tex]
[tex]\Rightarrow x = 78°[/tex]
But [tex]\angle{x}[/tex] is supplementary with [tex]\angle{y}[/tex] so that
[tex]x + y = 180 \Rightarrow y = 180 - 78 = 102°[/tex]
Now that we know the value of y, we apply the triangle angle sum theorem to [tex]\triangle{BDC}[/tex] and we get
[tex]49 + y + z = 180 \Rightarrow 49 + 102 + z = 180[/tex]
Solving for z, we finally get
[tex]z = 29°[/tex]
You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally
installed. Estimate the cost of having a 24 by 27 ft brick patio installed.
Answer: 4914
Step-by-step explanation:
multiply 15 and 20 to make 300
multiply 24 and 27 to make 648
set up proportion
[tex]\frac{300}{648}[/tex] × [tex]\frac{2275}{x}[/tex]
cross multiply
300x = 648(2275)
300x = 1474200
x = 4914
Lindsey drew a scale of a city. the scale of the drawing is 1 inch = 3 yards. If the actual length of a neighborhood park is 114 yards, how long is the park in the drawing?
Answer:
38 in
Step-by-step explanation:
114 yds divided by 3 = 38 in
consider the following equation:
2x−6y=9
Determine if the given ordered pair, (2,1/2), satisfies the given equation
yes or no
Answer:
The solution to a system of linear equations is the ordered pair (or pairs) that satisfies all equations in the system. The solution is the ordered pair(s) common to all lines in the system when the lines are graphed.
Lines that cross at a point (or points) are defined as a consistent system of equations. The place(s) where they cross are the solution(s) to the system.
Parallel lines do not cross. They have the same slope and different y-intercepts. They are an example of an inconsistent system of equations. An inconsistent system of equations has no solution.
Two equations that actually are the same line have an infinite number of solutions. This is an example of a dependent system of equations.
Step-by-step explanation:
Solve the system of equations graphically.
3x + 2y = 4
−x + 3y = −5
Solution
Graph each line and determine where they cross.
The lines intersect once at (2, −1).
A graphic solution to a system of equations is only as accurate as the scale of the paper or precision of the lines. At times the point of intersection will need to be estimated on the graph. When an exact solution is necessary, the system should be solved algebraically, either by substitution or by elimination.
Substitution Method
To solve a system of equations by substitution, solve one of the equations for a variable, for example x. Then replace that variable in the other equation with the terms you deemed equal and solve for the other variable, y. The solution to the system of equations is always an ordered pair.
Example
Solve the following system of equations by substitution.
x + 3y = 18
2x + y = 11
Solution
Solve for a variable in either equation. (If possible, choose a variable that does not have a coefficient to avoid working with fractions.)
In this case, it's easiest to rewrite the first equation by solving for x.
x + 3y = 18
x = −3y + 18
Next, substitute (−3y + 18) in for x into the other equation. Solve for y.
2( 3y + 12x + y = 11
2(−3y + 18) + y = 11-------Substitute -3y + 18 in for
−6y + 36 + y = 11-------Distribute.
2(3y −5y + 36 = 11-------Combine like terms.
2(3y + 18−5y = −25-----Subtract 36 from both sides
2(3y + 18) + y = 5---- -Divide both sides by -5.
Then, substitute y = 5 into your rewritten equation to find x.
x = −3y + 18
x = −3(5) + 18
x = −15 + 18
x = 3
Identify the solution. A check using x = 3 and y = 5 in both equations will show that the solution is the ordered pair (3, 5).
Elimination Method
Another way to solve a system of equations is by using the elimination method. The aim of using the elimination method is to have one variable cancel out. The resulting sum will contain a single variable that can then be identified. Once one variable is found, it can be substituted into either of the original equations to find the other variable.
Example
Find the solution to the system of equations by using the elimination method.
x − 2y = 9
3x + 2y = 11
Solution
Add the equations.
x − 2y = 9
3x + 2y = 11
4x + 2y = 20
Isolate the variable in the new equation
4x = 20
x = 5
Substitute x = 5 into either of the original equations to find y.
x − 2y = 9
(5) − 2y = 9
−2y = 4
y = −2
Identify the ordered pair that is the solution. A check in both equations will show that (5, −2) is a solution.
It may be necessary to multiply one or both of the equations in the system by a constant in order to obtain a variable that can be eliminated by addition. For example, consider the system of equations below:
3x + 2y = 6
x − 5y = 8
Both sides of the second equation above could be multiplied by −3. Multiplying the equation by the same number on both sides does not change the value of the equation. It will result in an equation whereby the x values can be eliminated through addition.
Special Cases
In some circumstances, both variables will drop out when adding the equations. If the resulting expression is not true, then the system is inconsistent and has no solution.
4x + 6y = 13
6x + 9y = 17
3(4x + 6y = 13)
2(6x + 9y = 17)
12x + 18y = 39
12x + 18y = 34
0 = 5
The equation is false. The system has no solution.
If both variables drop out and the resulting expression is true, then the system is dependent and has infinite solutions.
6x + 15y = 24
4x + 10y = 16
2(6x + 15y = 24)
3(4x + 10y = 16)
12x + 30y = 48
12x + 30y = 48
0 = 0
The equation is true. The system has an infinite number of solutions. (Notice that both of the original equations reduce to 2x + 5y = 8. All solutions to the system lie on this line.)
Is it possible for a fifth degree polynomial function with
integer coefficients to have no real zeroes?
1
2
3
4
5
6
7
8
9
10
Which graph shows a set of ordered pairs that represent a function?
oly
4
4
3
3
3
.
.2
.
2
.
2
1+
1
-5 -4 -3 -2 -11
1 2 3 4 5
-5-4-3-2-1
213
45
x
-5-4-3-2-11
1
2 3
5
-2
42
3
o
3
4
.
14
.
45
O
5
4
3
2
1
-54-3-2-11
2
4
5
X
3rd graph, far right on top
Step-by-step explanation:
Use the vertical line test to determine (one input for x cannot have two outputs of y)
There are a total of 66 people attending a carnival. The ratio of adults to children is 4 to 7. How many adults are attending the carnival? Enter your answer in the box. adults
Answer:
24 adults
Step-by-step explanation:
The equation to represent the scenario is
4x + 7x = 66
Combine like terms
11x = 66
Isolate x
x = 6
To find the amount of adults attending the carnival, substitute 6 with x.
6*4 = 24 adults
7*4 = 42 children
24 + 42 = 66 people in total
What is the slope of any line that is perpendicular to the line that contains the points (8,8) and (12,12)
Answer: 1
Step-by-step explanation:
12-8=4
12-8=4
4 over 4 is 1
if it perpendicular then it's the opposite reciprocal
hope that help
Three-fourths of the difference of a number and 7 is negative fifteen. What is the number? (Please solve very clear and step by step and I'll give u brainlest)
Answer:
- 13Step-by-step explanation:
Three-fourths of the difference of a number and 7 is negative fifteen:
3/4*(x - 7) = - 15x - 7 = - 15*4/3x - 7 = - 20x = 7 - 20x = - 13a/4−5/6=−1/2 big ideas
Answer:
4/3
Step-by-step explanation:
A/4 - 5/6 = -1/2(A6 - 20)/24 = -1/2A6 - 20 = -(1/2) x 24A6 = -12 + 20A6 = 8A = 8/6A = 4/3Both questions 7 and 8
9514 1404 393
Answer:
7. $10,459.28
8. $30,060.93
Step-by-step explanation:
Your table 12-2 will tell you the present-value multiplier of the annual payment for a 10-year annuity due will be ...
7%: 7.515232
11%: 6.537048
__
7. The 11% table value will be used with a payment of $1600 to find the present value:
6.537048 × $1600 = $10,459.28 . . . present value of the annuity due
__
8. The 7% table value will be used with a payment of $4000 to find the present value:
7.515232 × $4000 = $30,060.93 . . . present value of the annuity due
A woman can bicycle 78 miles in the same time as it takes her to walk 24 miles. She can ride 9 mph faster
than she can walk. How fast can she walk?
mph
Answer:
4mph
Step-by-step explanation: