[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
16+y=24, What is y?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
When solving an equation, we need to make sure that all variables are on one side and all numbers are on the other side.
Since we have numbers on both sides, we need to move all of them to one side:-
[tex]\tt{16+y=24}[/tex]
[tex]\tt{y=24-16}[/tex]
[tex]\tt{y=8}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
od
2
(
2 7 1-3
1 3 1-2
6:1-6
b =
d =
IDONE
Answer:
[tex] a = \boxed{1},\: b=\boxed{0}\\\\c=\boxed{0},\: d=\boxed{1}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix} 2 & 7\\\\1 & 3\end{bmatrix}\:\begin{bmatrix} -3 & 7\\\\1 & -2\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}[/tex]Multiply both the matrices on left side, we find:[tex]\begin{bmatrix} 2(-3)+7(1) & 2(7)+7(-2)\\\\1(-3)+3(1) & 1(7)+3(-2)\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}[/tex][tex]\rightarrow\begin{bmatrix} -6+7 & 14-14\\\\-3+3 & 7-6\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}[/tex][tex]\rightarrow\begin{bmatrix} 1 & 0\\\\0 & 1\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}[/tex]Comparing the corresponding elements of both the matrices on both sides, we find:[tex] a = \boxed{1},\: b=\boxed{0},\:c=\boxed{0},\: d=\boxed{1}[/tex]Determine which expressions represent purely real numbers and which expressions represent non-real complex numbers. -i^2+i^3 7-5i √ 6 0+9i √(-5)^2 -12 2 -7i^2
purely real number
non-real complex number
Purely real numbers are in the form of a+0i, while the Non-real complex numbers are in the form of a+bi.
What are Purely real numbers and Non-real complex numbers?Purely real numbers are in the form of a+0i, while the Non-real complex numbers are in the form of a+bi.
The given expressions can be simplified in the following manner,
[tex]-i^2+i^3 = -(\sqrt{-1})^2+(\sqrt{-1} \times \sqrt{-1} \times \sqrt{-1}) = 1 -i[/tex] 7-5i [tex]\sqrt{-6} = \sqrt{-1 \times 6} = \sqrt{-1} \times \sqrt{6} = 0+ i\sqrt{6}[/tex]i⁶ = (i²)³ = (-1)³ = -1 = -1 +0i0+9i [tex](\sqrt{-5})^2 = (\sqrt{-1 \times 5})^2 = -1 \times 5 = -5+0i[/tex] -12 = -12+0i[tex]2 -7i^2 = 2-7(-1) = 2+7 = 9+0i[/tex]Purely real numbers (a+0i)
-1 +0i-5+0i-12+0i9+0iNon-real complex number (0+bi)
1-i7-5i0+i√60+9iLearn more about Purely real numbers and Non-real complex numbers:
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Answer:
Step-by-step explanation:
go to BYJU's learning app and get to expert answer
PLEASE HELP ME HOW TO DO THIS
Step-by-step explanation:
Area: Length X width
Perimeter: Add all sides
Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 1012 inches by 1012 inches. Is he correct? Use the drop-down menus to explain your answer.
Stephan
Choose...
have enough wood to make the tray because he has
Choose...
square inches, which is
Choose...
than he needs to make the tray,
Choose...
square inches.
Answer:
i. No, Maurice statement is wrong
ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.
Step-by-step explanation:
Stephan's piece of wood measures; 18 inches in length and 12 inches in width. Since the piece of wood has a shape of a rectangle,the area of the piece of wood = length × width = 18 × 12 = 216 square inchesAccording to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches. The base has the shape of a square, so that; the area of the base = length × width = = 1012 ×1012 = 1024144 squared inchesThis shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.
covert this rational number to its decimal form and round to the nearest thousandth. 7/9
Answer:
0.778 to the nearest thousandth.
Step-by-step explanation:
Dividing 7 by 9:
9) 7.000000
0.7777777 .... <-- quotient
So it is 0.778 to the nearest thousandth.
What is the full number (all 0's and what not) of 4.385e+30
Answer:
4 385 000 000 000 000 000 000 000 000 000.
Step-by-step explanation:
Wellllll.....e +30 means 10^30
Find the factor of each ff.
49x²-63x+7
Answer:
7(7x²-9x +1)
Step-by-step explanation:
49x²-63x+7
7(7x²-9x +1)
ASAP WILL GIVE BRAINLIEST!
Given: AB CD and AB || CD
Prove: ABCD is a parallelogram
The missing parts of the given table are
∠1 ≅ ∠4 → Alternate interior angles Theorem
DB ≅ DB → Reflexive property
ΔDAB ≅ ΔBCD → SAS (Side Angle Side)
Proving a quadrilateral is a parallelogramFrom the question, we are to complete the table to prove that ABCD is a parallelogram
The Alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent. That is, they are equal.The reflexive property of congruence states that an angle, line segment, or shape is always congruent to itselfThe missing parts in the table can be completed as shown below
∠1 ≅ ∠4 → Alternate interior angles Theorem
DB ≅ DB → Reflexive property
ΔDAB ≅ ΔBCD → SAS (Side Angle Side)
Hence, the missing parts of the given table are
∠1 ≅ ∠4 → Alternate interior angles Theorem
DB ≅ DB → Reflexive property
ΔDAB ≅ ΔBCD → SAS (Side Angle Side)
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.
colleen is searching online for airline tickets. Two weeks ago, the cost to fly from boston to hartford was $200. now its cost $340. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
A) 70%
B) 95%
Step-by-step explanation:
A) $200 to $340
Increase = $340 - $200 = $140
Percentage of increase = $140/$200 * 100% = 70%
B) Additional $50
Increase = $140 + $50 = $190
Percentage of increase = $190/$200 * 100% = 95%
From the top of a cliff, the angle of depression of a boat on the sea is 22°. If the height of the cliff above sea level is 40 m, calculate, correct to two significant figures, the horizontal distance of the boat from the bottom of the cliff.
Answer:
= 25√3/3
Step-by-step explanation:
x/25 = tan 30o
x = 25/√3
= 25√3/3
If there were 20 gallons of water left in the fish tank after the water
leaked out, how many gallons of water does the fish tank hold when
it is full
Answer:
Hope this helps. Credit to the other user.
Step-by-step explanation:
Find any 2 irrational no. Between 0.1 and 0.12
0.10100100010000 and 0.110100100010000 are two irrational numbers between 0.1 and 0.12.
Step-by-step explanation:
Any two irrational Numbers between 0.1 and 0.12 will be those numbers which will be=> greater than 0.1 and smaller than 0.12
And those numbers are = 0.10100100010000 and 0.110100100010000.You can also choose any other numbers too.
___________________Irrational Number :
Irrational numbers are non terminatingNon recurring / repeatingwhat is the slope of the line
Answer:
Step-by-step explanation:
(0, 2) (2, 0)
(0-2)/(2-0)= -2/2= -1
y - 2 = -(x - 0)
y - 2 = -x + 0
y = -x + 2
Please help with does 3 questions am trying to get my grade up
Ella conducted a survey to find out the amount of time high schoolers spend surfing the Internet. From the data collected, the range of time spent was 1 hour. What does this range say about the data?
All the students surveyed spend exactly 1 hour surfing the Internet.
All the students surveyed spend an average of 1 hour surfing the Internet.
The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour.
The quotient between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour.
The statement third “the difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour” is correct.
What is range?It is defined as the difference between the maximum value in the data set to the minimum value in the data set.
As we know, the difference between the greatest and lowest values, called the range.
According to this response, the range is 1 hour, which is the difference between the most and least amount of time spent surfing the Internet. This is based on the term “Range.”
Thus, the statement third “the difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour” is correct.
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Answer:
The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour!
Step-by-step explanation:
Find the sum or difference
(X-2)+(x+6)
The sum of the expression (x - 2) and (x+6) is 2x + 8
How to find sum of an expression?The sum of numbers simply means to add up the numbers.
Therefore,
(x -2) + (x + 6)
Hence,
(x - 2) + (x + 6)
open the brackets
Therefore,
x - 2 + x + 6
combine like terms
x + x + 2 + 6
add or subtract the like terms
2x + 8
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A circular tabletop has a circumference of 94.2 inches. What is its approximate area?
Answer:
1st choice : 706.5 square inches
Step-by-step explanation:
circumference is pi times diameter
divide 94.2 by pi to get diameter = 29.9847912785
diameter 29.9847912785 divided by 2 is
14.9923956393 which is the radius
area is pi times radius times radius again
pi times 14.9923956393 times 14.9923956393 =
706.141834613
Caroline, Colin & Sarah share some money.
Caroline gets
1
9
of the money.
Colin and Sarah share the rest in the ratio 1:3.
What proportion does Colin get?
Caroline, Colin & Sarah share some money.Caroline will get [tex]\dfrac{2}{3}[/tex] when Caroline, Colin & Sarah share some money.
What is the ratio?The ratio defined as the sharing of the two or three things or it represent that one thing or number is how many times to the other.
One part is excluded in the problem. That part is:
"Caroline gets [tex]\dfrac{1}{9}[/tex] of the money."
If Caroline gets 1/9th, then remaining is:
[tex]1-\dfrac{1}{9}=\dfrac{8}{9}[/tex]
Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...
8/9th in 4 parts means, each part is:
[tex]\dfrac{\dfrac{8}{9}}{4}=\dfrac{2}{9}[/tex]
We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:
[tex]3\times \dfrac{2}{9}=\dfrac{6}{9}=\dfrac{2}{3}[/tex]
Colin gets [tex]\dfrac{2}{3}[/tex] money when three of them share money.
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Hi!
I am not quite sure the formula I am supposed to use for this or where each piece of information belongs. How would I solve this question?
Jeff Krause purchased 1,000 shares of a speculative stock in January for $1.89 per share. Six months later, he sold them for $9.26 per share. He uses an online broker that charges him $10.00 per trade. What was Jeff's annualized HPR on this investment?
Thanks!
Based on the price he purchased the stock and the amount he sold them for, Jeff's annualized HPR on the investment is 2,395%.
How much is Jeff's annualized HPR?First find the net profit:
= (1,000 x 9.26) - (1,000 x 1.89) - 10
= $7,360
The HPR is:
= 7,360 / (1,000 x 1.89)
= 389.4%
The annualized HPR is:
= (1 + 389.4%)² - 1
= 2,395%
Note: Taken to the power of 2 because there are two six-month periods in a year.
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Is this function linear or exponential?
x y
0
–
5
1
–
10
2
–
20
3
–
40
4
–
80
The function represented by the table of values is an exponential function
How to determine the function type?The table is given as:
x 0 1 2 3 4
y 5 10 20 40 80
On the table, we have the following highlights:
As x increases by 1y multiplies by 2This means that the function has a common ratio
Only exponential functions have a common ratio
Hence, the function is an exponential function
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3. Manny's weekly wage as a welder are $520.75. He is single and claims 3 allowances. What amount is
deducted for federal taxes?
If he is single and claims 3 allowances. The amount deducted for federal taxes is $39.8
Federal taxesFederal tax withheld:
Federal tax withheld =6.2% social security + 1.45% Medicare
Federal tax withheld = 7.65%
Deduction:
Deduction= 0.0765 × $520.75
Deduction=$39.8
Therefore the amount deducted for federal taxes is $39.8
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Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has a pH of 7, what is its H value?
Answer:
1 x 10^-7
Step-by-step explanation:
[H+] = 10^-pH
[H+] = 10^-7
In order to select new board members, the French club held an election. 25% of the 84 members of the club voted. How many members voted?
Answer: 21 people voted
Step-by-step explanation:
an easy way to do this is simply multiply 84 * 0.25.
This gives you [tex]\frac{1}{4}[/tex] of the original amount
in this case 84×0.25 = 21
This means that 21 people voted
Jacob learns that the mass of a new planet found in the solar system is 2,330,000,000,000,000,000,000,000 kilograms. What is the mass represented in scientific notation? A. 2.33 × 1024 kilograms B. 2.33 × 10-24 kilograms C. 2.33 × 1023 kilograms D. 23.3 × 1023 kilograms
Answer:
2.33 x 10^24 kilograms
Step-by-step explanation:
hope this helps!!
=2.33 × [tex]10{^{21}[/tex]
scientific notation
= 2.33e21
scientific e notation
= 2.33 × [tex]10{^{21}[/tex]
engineering notation
= 2.33 × [tex]10{^{21}[/tex]
21
Order of Magnitude
for scientific and standard forms
two setillion three hundred thirty quintillion
A flag pole is 35 feet high. The sun shines a shadow of the flag pole to the ground. The shadow,
going out from the base of the flag pole is 12 feet long. What is the distance from the top of the
flag pole to the tip of the shadow?
Given the figure below, find the values of x and z. z° 68° +14x84°
Answer:
z° = 68°
x = 2
Step-by-step explanation:
[tex](14x+84)^{0} =\frac{360-2(68)}{2} =112[/tex]
[tex]14x=112-84=28[/tex]
[tex]x=\frac{28}{14} =2[/tex]
Hope this helps
A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.
an = 2(an − 1 + 4) and a1 = 5 (the n and n-1 is suppose to be a subscript, I just can't figure out how to make it like that)
So
a_2
2a_1+8=2(5)+8=18a_3
2a_2+8=2(18)+8=44a_4
2a_3+8=2(44)+8=96a_5
2a_4+8=2(96)+8=200Someone pls help fast!
Answer:
decreasing and linear
Step-by-step explanation:
it just is
Answer:
Decreasing, linear
Step-by-step explanation:
you are going -4 every time
Tell me the coordinates
Answer:
1) N/A
2) ( -0.714, 3.857)
Step-by-step explanation:
for question 1 since the slope is the same, they will never intersect
for question 2 they intersect at (-0.714, 3.857)
1) as for the coordinates, for y=3x+2 it is (0,2) (-2/3, 0) it's an upward slope
y=3x-5 coordinates are (0, -5) (1.667, 0) it's an upward slope
2) 4x+y=1 coordinates are (0,1) (1/2, 0) it's a downwards slope
y=3x+6 coordinates are (-2, 0) (0,6) it's a upward slope
2. Mary has saved $160 of the $250 she needs for rent.
She takes home $6 an hour from her part-time job.
Mary works the same number of hours each day for 3
days. How many hours does Mary have to work each
day to take home enough money to pay the balance
of her rent?
F. 3 hours
G.
4 hours
H.
5 hours
J.
6 hours
K
7 hours
Answer:
H - 5 hours
Step-by-step explanation:
We can setup an equation to solve the question.
Let [tex]h[/tex] be the number of hours Mary must work.
[tex]250 = 160 + 3(6h)[/tex]
250 - the amount of money Mary needs
160 - the amount of money Mary has saved already
3 - How many days she works
6h - How much she gets paid per day
[tex]250 = 160 + 3(6h)\\90 = 3(6h)\\90=18h\\5=h[/tex]
This means Mary must work 5 hours each day to pay her rent.
