Equation shows identity property of multiplication is (a + bi) × 1 = (a + bi)
What is Identity property of multiplication?
The identity property of multiplication says that the product of 1 and any number is that number.
We know, Identity property of multiplication states that
"the product of 1 and any number is that given number".
We know that every complex number have two parts one is real and other is imaginary.
If a is real number and b is imaginary part then by definition
(a + bi) × 1 = (a + bi).
1. Uses Distributive Property of Multiplication.
2. Zero product property.
3. Commutative property of multiplication
4. Identity property of multiplication.
Hence, equation shows identity property of multiplication is (a + bi) × 1 = (a + bi)
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Point A is located on a coordinate plane at (-5, -4). The location of Point B is 6 units to the right of and 7 units down from Point A
HELP ME PLSS
A 95% confidence interval for the population mean is constructed as 6 ± 2. What is the confidence coefficient?.
Confidence coefficient or confidence level for the interval is 0.95.
What is confidence coefficient?
The proportion of samples of a given size that may be anticipated to contain the true mean is all that the confidence coefficient is.
Confidence level:
Confidence level means the proportion or frequency of acceptable confidence intervals that contain the true value of the unknown parameter.
For example,
A 0% confidence level means you have no faith at all that if you repeated the survey that you would get the same results.
Main Body :
Confidence Interval = 95%
Hence the confidence interval would be 0.95.
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what is (-4, -2) reflected across the Y-AXIS
Answer:
(4, -2)
Step-by-step explanation:
You want the coordinates of the point (-4, -2) after its reflection across the y-axis.
ReflectionThe x-coordinate of a point tells you its horizontal distance from the y-axis. When a point is reflected across the y-axis, it is moved to the other side by the same distance. That is, the sign of the x-coordinate changes.
(x, y) ⇒ (-x, y) . . . . . . . reflected across the y-axis
(-4, -2) ⇒ (4, -2) . . . . . reflected given point
The coordinates of the reflection are (4, -2).
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An airine offerthe ame number of ticket for morning and night flight. When the airline analyzed ticket ale, they determined that the ratio of the number of old ticket to the number of unold ticket wa 3:5 on morning flight and 7:1 on night flight. Ifthe airline ell 581 ticket on night flight, how many unold ticket can the airline expect on morning flight?
415 unsold ticket can the airline expect on morning flight by ratio .
What does a math ratio mean?
When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. A proportion is an equation that sets two ratios at the same value. As an illustration, you could write the ratio as 1: 3 if there is 1 boy and 3 girls.7:1 means 7/8 of the offered tickets are sold at night. 581 is 7/8 of the total night tickets offered
the total offered is 8/7 times 581 = 8(581/7) = 8(83) = 664 total offered for night & mornings.
3:5 ratio means 5/8 of the total offered go unsold (5/8)(8)(83) = 5(83)= 415 unsold morning tickets
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A motorcyclist rides 976 miles, using 30.5 gallons of gasoline. What is the mileage, in miles per gallon?
Answer:
Step-by-step explanation:
32 mph
8
4 8 12
A
+
20 24
B C
36 40
What number does C stand for? Same question different answer
Answer:
32
Step-by-step explanation:
you are counting by 4 and if you count high enough it will give you that answer
Write 23/6 as a mixed number.
Answer:
[tex]3\frac{5}{6}[/tex]
Step-by-step explanation:
6 can go into 23, 3 times with 5 left over
we write it like this
[tex]3\frac{5}{6}[/tex]
Hopes this helps please mark brainliest
Answer: Its 3 5/6
Step-by-step explanation: 6 goes into 23 3 times. and 5 leftover so
Determine which set of side measurements could be used to form a triangle.
The set of side measurements that could be used to form a right triangle is √3, √13, and 4 option (D) is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
The side length of the triangle is shown in the option:
As we know,
Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
Using Pythagoras' theorem:
From option(D):
√3, √13, and 4
(√3)² + (√13)² = 4²
3 + 13 = 16 (True)
Determine which set of side measurements could be used to form a right triangle.
4, 8, 11
6, 8, 13
square root of 3, square root of 5, 8
square root of 3, square root of 13, 4
Thus, the set of side measurements that could be used to form a right triangle is √3, √13, and 4 option (D) is correct.
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What is the l and w if the area is 32 and the perimeter is 24
According to the area and the perimeter of the rectangle, the value of l is either 4 or 8 and the value of w is either 4 or 8
Area and perimeter of rectangle:
Area of the rectangle is the region occupied by a rectangle within its four sides or boundaries.
Perimeter of the rectangle is add the lengths of all four sides.
Given,
The area of the rectangle is 32 and the perimeter of the rectangle is 24.
Now, we have to find the value l and w.
When we apply the value on the formula of area of rectangle, then we get,
32 = l x w
It can be rewritten as,
l = 32/w
Now, apply the value of perimeter of the rectangle, then we get,
24 = 2(l + w)
Apply the value of l as 32/w, then we get,
24 = 2(32/w + w)
12 = 32/w + w
12 = (32 + w²)/w
w² - 12w + 32 = 0
When we factorize the polynomial, then we get,
=> (w - 4) (w - 8) = 0
So, the value of w is either 4 or 8.
So, now we have to find the value of l through this value,
=> w = 4 => l = 32/4 = 8
=> w = 8 => l = 32/4 = 4
Therefore, the value of l is either 4 or 8.
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Albert ha y ticker. Latika ha more ticker than Albert. John ha time a many ticker a Latika. Write down an expreion, in term of y, for the number of ticker John ha
The algebraic expression, in terms of y , for the number of stickers John has is given by 4(y + 2)
How to write algebraic expression?
Algebra refers to the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
Number of stickers Albert has = y
Number of stickers Latika has = y + 2
Number of stickers John has = 4(y + 2)
The expression for the number of stickers John has = 4(y + 2)
For instance, if y = 3
Number of stickers Latika has = y + 2
= 2 + 2
= 4 stickers
Number of stickers John has = 4(y + 4?2)
= 4(3 + 2)
= 4(5)
= 20 stickers
Therefore, the expression which can be used to represent the number of stickers John has is 4(y + 2)
Complete question:
Albert has y stickers.
Latika has 2 more stickers than Albert.
John has 4 times as many stickers as Latika.
Write down an expression, in terms of y , for the number of stickers John has.
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What is the numerator of the simplified sum?
StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction
The numerator of equation (x/(x²+3x+2)+3/(x+1)) in simplified sum is 4x+6.
Here, the given equation is
First, we will simplify this equation
(x/(x²+3x+2)+3/(x+1))
We will take LCM an write the equation as follows.
((x(x+1)+3(x²+3x+2))/((x²+3x+2)(x+1))) -----------(1)
Now, factorize the equation x²+3x+2
So,
x²+3x+2
=x²+2x+x+2
=x(x+2)+1(x+2)
=(x+1)(x+2)
Put this factors in denominator of equation (1)
So, the equation will be written as
=((x²+x+3x²+9x+6)/(x+1)(x+2)(x+1))
=((4x²+10x+6)/((x+1)² (x+2))) -----------------(2)
Factor of numerator in above equation
=4x²+10x+6
=4x²+6x+4x+6
=4x(x+1)+6(x+1)
=(4x+6)(x+1)
Put this value in equation (2)
so, we can write equation (2) as
=(((4x+6)(x+1))/((x+1)^2 (x+2)))
Cancelling (x+1) from numerator and denominator
Then the equation will become,
=((4x+6)/((x+1)(x+2)))
This is the simplified form of given equation
Hence,
The numerator of the simplified sum is (4x+6)
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A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y = 2. 5x + 3 represents the cost y of bowling x games. Interpret the parameters of the function.
The cost for renting shoes is represented by the number 3.
The cost per game is represented by the number 2.5.
The given equation is a linear one. One variable with a power of one makes up a linear equation.
y= 2.5x + 3
2.5 in the above calculation stands for the extra cost for each game played. Each game played sees an increase in this number.
When:
The additional cost is 2.5 x 1 = 2.50 for 1 game played.
If 10 games are played, the extra cost is 2.5 times 10 games, or $25.
The base rate to rent the shoes is $3. It is an ongoing expense that stays the same regardless of how many games are played.
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What is the solution to the system of equations 2x y 7 y 2x 3?.
There is no solution for two equations 2x – y = 7 and y = 2x + 3 .
What is an equation?
A statement that the values of two mathematical expressions are equal (indicated by the sign =).
Name different methods to solve the system of equations .
(1)The Graphing Method .
(2)The Substitution Method .
(3)The Linear Combination Method
(4)The Addition Method
(5)The Elimination Method.
(6)The Matrix Method .
The solution of two equations
2x – y = 7 and
y = 2x + 3
On solving the two equations by Subsitution Method ,we get
2x-(2x+3) =7
⇒2x-2x-3=7
⇒0 -3 =7
⇒-3 =7
But since the numbers are not equal ,so we conclude that
-3≠7
Hence ,as x gets canceled and y value is subsituted ,so as a result we get two numbers which are also not equal .
Hence,there is no solution for x and y .
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Corrected Question
What is the solution to the system of equations 2x – y = 7 and y = 2x + 3 ?
There is no solution for two equations 2x – y = 7 and y = 2x + 3 .
What is an equation?A statement that the values of two mathematical expressions are equal (indicated by the sign =).
Name different methods to solve the system of equations .
(1)The Graphing Method .
(2)The Substitution Method .
(3)The Linear Combination Method
(4)The Addition Method
(5)The Elimination Method.
(6)The Matrix Method .
The solution of two equations
2x – y = 7 and
y = 2x + 3
On solving the two equations by Substitution Method ,we get
2x-(2x+3) =7
⇒2x-2x-3=7
⇒0 -3 =7
⇒-3 =7
But since the numbers are not equal ,so we conclude that
-3≠7
Hence ,as x gets canceled and y value is substituted ,so as a result we get two numbers which are also not equal .
Hence, there is no solution for x and y .
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NOTE: The given question is incomplete on the portal. Here is the complete question.
QUESTION: What is the solution to the system of equations 2x – y = 7 and y = 2x + 3 ?
Last year, the track team's yard sale earned $500. This year, the yard sale earned $625. What is the percent of increase?
The percent of increases
The percent of increase in the team's yard sale is 25 %.
Percentage is known as a number or ratio which is expressed as a fraction of 100.
Percentage increase refers to the difference between the final and initial values of any quantity, expressed as a percentage of the initial value of that quantity.
Percentage increase = Final value - Initial value/ Initial value *100
According to question,
Initial value = $500
Final value = $625
Putting the values in the formula,
⇒ $625 - $500 / $500 * 100
⇒ $125/ $500 *100
⇒ 25
Hence, the percent of increase in the team's yard sale is 25 %.
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The time taken, t, for passengers to be checked-in for a flight is inversely proportional to the square of the number of staff, s, working. It takes 30 minutes passengers to be checked-in when 10 staff are working. (a) Find an equation connecting t and s. (b) What is the minimum number of staff that must be working so that the time taken is under 60 minutes?
(a) The equation connecting t and s in the proportionality question is t = 300/s .
(b) The minimum number of staff that must be working so that the time taken is under 60 minutes is 20 staff.
What is inverse proportion?Inversely proportional means that the two quantities behave opposite in nature.
(a) To find the equation connecting t and s we use the inverse proportionality technique
From the question,
t ∝ 1/sTo remove the proportionality sign, we intoduce a constant (k)
t = k/sk = ts............ Equation 1Given:
t = 30 minutess = 10 staffSubstite these values into equation 1
k = 30×10k = 300Therefore the equation connecting t and s is
t = 300/s(b) To calculate the minimum number of staff that must be working so that time take is under 60 minutes, we substite the value of t = 60 into the equation above
60 = 300/ss = 300/60s = 20 staff.Hence, the equation is t = 300/s and the minimum number of staff is 20 staff.
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the line 2y = 6x +c passes through the point (2, 3). find c
Answer:
-6
Step-by-step explanation:
2y=6x + c
(2 X 3) = (6 X 2) + C
C= - 12 + 6
= - 6
The numbers in bold are the point axes.
Using the slope formula, find the slope of the line through the given points (4,2) (-5,2) and Question content area bottom Part 1 What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
The slope is zero if the fraction's numerator is 0.
Given,
The line passes through the points;
(x₁, y₁) = (4, 2)
(x₂, y₂) = (-5, 2)
We have to find the slope of the line using slope formula;
Slope formula ;
m = (y₂ - y₁) / (x₂ - x₁)
Here,
m = (2 - 2) / (-5 -4 ) = 0/-9
Slope, m = 0
The slope is zero if the fraction's numerator is 0. If both points' y values are equal, this will take place. The graph would be a horizontal line and show that for all values of x, the y value remains constant.
That is,
The slope is zero if the fraction's numerator is 0.
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Select the correct answer.
Which equation describes the line graphed above?
A. y=-4x-5
B.y=-1/5x-4
C.y=-5x-4
D.y=-4x-1/5
Answer:b
Step-by-step explanation:slope is -1/5. Rise over run, so you go down 1, and right 5
Which linear function is graphed on the grid?
A g(x)=15x-6
g(x) = 5x +45
g(x)=x-6
g(x) = 5x +45
1 2 3 4 5 6 7 8 9
The linear function graphed on the grid will be g(x) = (15/2) x + 45. Option D is correct.
First, let us understand the linear equation:
When a graph is exhibited, a relationship between a number of variables results in a linear model. The variable will be of degree one.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
From the graph, we are given the x-intercept is - 6, and the y-intercept is 45.
Substitute the given values in the above formula, we will get;
x / (-6) + y / 45 = 1
- 15x + 2y = 90
y = (15/2) x + 45
g(x) = (15/2) x + 45
Thus, the linear function graphed on the grid will be g(x) = (15/2) x + 45. Option D is correct.
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15) The circumference of a circle is 20π ft. There's a 25% reduction of the circle's radius. What is the area of
the circle are the reduction of the radius?
Answer:
314 cm squared
Step-by-step explanation:
yea think so
twelve hours after being filled, all the balloons have decreased in size. predict which balloon will be the smallest. explain your reasoning.
The balloons which have Helium (He) in them will be the smallest.
Because it has the tiniest molecule when compared to the other gases, helium (he) will leak out the most quickly. Helium molecules can enter the balloon through microscopic pores because they are the tiniest molecules. more quickly than the other gases.
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the foreclosure crisis has been particularly devastating in housing markets in much of the south and west united states, but even when analysis is restricted to relatively strong housing markets the numbers are staggering. for example, in 2017 an average of three residential properties were auctioned off each weekday in the city of boston, up from an average of one per week in 2011. what is the probability that no more than two foreclosure auctions occurred on a randomly selected weekday of 2017 in boston?
The probability that no more than two foreclosure auctions occurred on a randomly selected weekday of 2017 in boston is 0.4232
What is probability?Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.
Calculationcalculation has been attached in the picture below
the probability that no more than two foreclosure auctions occurred on a randomly selected weekday of 2017 in boston is 0.4232
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A piece of notebook paper measures 8 1/2 inches by 11 inches. Which of the following metric approximations is the same?
a. 2 m x 2.8 m
b. 3 cm x 4 cm
c. 22 cm x 28 cm
d. 30 m x 40 m
The approximation in meters that is same with a notebook paper measures 8 1/2 inches by 11 inches is
c. 22 cm x 28 cmHow to determine approximationsThe approximation is solved by converting the given unit to metric
The conversion from inches to metric
meters = m
inches = in
The unit conversion factor is given as
1 meter = 39.3701 inches
? meter = 8 1/2 inches
cross multiplying gives
? * 39.3701 = 1 * 8 1/2
? = 8 1/2 / 39.3701
? = 0.2159 m
? = 21.59 cm
? =22
11 inches to metric
? = 11 / 39.3701
? = 27.94 cm
? = 28
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$ 1,012,481.37
-926,399.76
Answer: $86,081.61
Step-by-step explanation:
Answer: 986,081.61
Step-by-step explanation:
I"LL GIVE BRAINLEST! You are skiing down a 1,350-meter ski slope at 60 meters per second. Let t represent your skiing time in seconds and d t( ) represent the distance from the bottom of the ski slope. Write an algebraic function rule that can be used to model the scenario. Then explain what the slope and the vertical intercept mean in the context of the problem
Answer:
d = 1350 - 60t
Step-by-step explanation:
the slope is for every x how y changes so the x would be represented by t (which is the time in seconds in this case) and y would be the distance from the bottom of the ski slope.
the vertical intercept would define when you are gaining distance or losing distance
In a pack of Skittles, 20% are red. If 13 are red, how many skittles were in the entire bag?
Answer: 65
Step-by-step explanation:
First we need to know what the 13 is 20% of. 13 is 20% of 65.
To make sure we are correct we must take 20% of the 65 which gives us 13 showing that 20% of the 65 skittles (13) are red.
Hope that helped :)
one out every three boxes of cereal has a prize i it.
Answer: The percentage of a cereal box would be 1/3 or 33.33%.
Step-by-step explanation:
Manuel completed the right column of the table to help him find the difference of 5/8 and 1/4 .
Answer:
2 step because they changed 1/4 into 1/8
Step-by-step explanation:
What document did Missouri need to become a state?
A) Declaration of Independence
B) lease
C) bill of sale
D) state constitution
Answer:
d) State constitution
Step-by-step explanation:
Missouri needs a state constitution to become a state. It is necessary for every state. Hence, option (d) is correct answer.
plssss helpppp meeeee
Answer:
x = -4; y = 2
Step-by-step explanation:
The solution is the point of intersection of the two lines.
The lines intersect at point (-4, 2).
Answer: x = -4; y = 2
Answer:
x = -4; y = 2
Step-by-step explanation:
the are the answers to both of the statements
