Answers
Answer:
distributive propertyaddition (subtraction) property of equalityadditive identity element (properties of real numbers)division property of equalitymultiplicative identity element (properties of real numbers)Step-by-step explanation:
A lot of math is about identifying and matching patterns. Often, the patterns have an associated vocabulary. It helps to learn the patterns and the associated words.
__
Pattern: a(b +c) ⇔ ab +ac . . . description: distributive property
Pattern: a = b ⇒ a +c = b +c . . . description: addition property of equality
Pattern: a = b ⇒ a/c = b/c . . . description: division property of equality
Patterns: a -a = 0; a + 0 = a . . . description: properties of the additive inverse and the additive identity element
Patterns: a×(1/a) = 1; a×1 = a . . . description: properties of the multiplicative inverse and the multiplicative identity element
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When parentheses come or go, the distributive property is usually involved. In the second line, you need to recognize that -2(3y) = -6y and that -2(-7) = +14. The result on the left is from applying the distributive property to remove parentheses.
The third line differs from the second line in that -14 shows up on both sides of the equal sign. This is a clue that the addition (or subtraction) property of equality is involved.
The fourth line differs from the third in that +14-14 disappeared from the left side, and -4-14 was replaced with -18 on the right side. The sum of a number and its opposite is zero, a property of the additive inverse. The fact that -4-14 = -18 is a property of real numbers. (You have to decide the best drop-down choice for that line.)
The fifth line shows both sides of the equation divided by -6. The multiplication (division) property of equality lets you do that.
The last line shows a simplification of the previous one. Again, the properties of real numbers and of the multiplicative inverse are involved. (You have to decide the best drop-down choice for that line.)
Related Questions
Given that is a standard normal random variable, find for each situation (to 2 or 3 decimals). a. The area to the left of is .
Answers
This question is incomplete, the complete question is;
Given that is a standard normal random variable, find for each situation (to 2 or 3 decimals)
a. The area to the left of z is 0.8
b. The area to the left of z is 0.882
c. The area to the right of z is 0.8225
(Hint: Enter the positive z-value)
Answer:
a) z = 0.84
b) z = 1.185
c) z = -0.925
Step-by-step explanation:
a)
area to the left of z is 0.8
Making use of the standard normal table
p( Z < z ) = 0.8
we check the the probability of 0.8 in the standard normal table
so the corresponding value of z is 0.84
p( Z < 0.84 ) = 0.8
z = 0.84
b)
area to the left of z is 0.882
Making use of the standard normal table
p( Z < z ) = 0.882
we check the the probability of 0.882 in the standard normal table
so the corresponding value of z is 1.185
p( Z < 1.185 ) = 0.882
z = 1.185
c)
area to the right of z is 0.8225
Making use of the standard normal table
p( Z > z ) = 0.8225
1 - p( Z < z ) = 0.8225
p( Z < z ) = 1 - 0.8225
p( Z < z ) = 0.1775
p( Z < -0.925 ) = 0.1775
z = -0.925
Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
-Please provide step by step :)
Answers
Answer:
3.5 hours
Step-by-step explanation:
It is given that,
Velocity of first car, v = 20 mph
Velocity of second car, v' = 60 mph
They are moving in opposite direction. Their relative speed is given by :
V = 20 mph + 60 mph = 80 mph
Distance, d = 280 miles
So,
[tex]t=\dfrac{d}{V}\\\\t=\dfrac{280}{80}\ h\\\\t=3.5\ h[/tex]
Hene, they will be 280 mile apart in 3.5 hours.
If a = 6,b=8, then what is 3ab?
Answers
Answer:
144
Step-by-step explanation:
3(6x8)
3x48
144
Answer:
144
Step-by-step explanation:
3 mutiplied by a, or 6, is 18.
18 Multiplied by b, or 8, is 144.
Which equation can be used to find 40 percent of 252
Answers
Answer:
you can look that up on google, answer is 100.8
Step-by-step explanation:
PRECALCULUS HELP IM BEGGING YOU
Dean has built a ferris wheel in his backyard. It has a diameter of 10 feet and completes 30 revolutions per minute. Sketch a quick graph and find the period of the function that describes the height above the ground of a seat on the outside edge of this ferris wheel.
Answers
Answer: Period = 2 seconds
Graph is shown below
========================================================
Explanation:
1 minute = 60 seconds
We have 30 revolutions every 60 seconds, so we can write the ratio
30 rev: 60 sec
Divide both parts by 30 to turn that "30 rev" into "1 rev"
30 rev: 60 sec
30/30 rev: 60/30 sec
1 rev : 2 sec
This tells us that each full revolution takes 2 seconds. This is the period of the ferris wheel. The period is the length of each cycle.
The cyclic or periodic nature of this motion heavily implies we'll be dealing with a sine or cosine function of some kind. Let's go with sine.
Side note: cosine is really a sine function in disguise (it's just a phase shifted version of it).
---------------------
The general sine curve equation is
y = A*sin(B(x-C)) + D
where
|A| = amplitudeB = 2pi/T with T being the periodC handles phase shifts (left and right shifting)D handles vertical shifting, and y = D is the equation of the midline---------------------
The wheel is 10 feet in diameter, so 10/2 = 5 is the radius. This is also the amplitude because it is the distance from the midline to either the highest point (10 ft) or lowest point (0 ft). So A = 5.
Since T = 2 is the period, this means,
B = 2pi/T
B = 2pi/2
B = pi
We don't have any phase shifts to worry about so C = 0.
The midline is D = 5 since this is halfway up
----------------------
Putting all the pieces together, we get this sine equation
y = A*sin(B(x-C)) + D
y = 5*sin(pi*(x-0)) + 5
y = 5*sin(pi*x) + 5
The graph is shown below.
x = time in seconds, y = height of the seat
Vincent’s baseball coach suggested that he drink one-half gallon of water daily. If Vincent drinks one-half gallon of water, how many 8-ounce glasses will he drink?
Answers
Answer:
8 eight ounce glasses
Step-by-step explanation:
1 gallon = 128 oz
.5 gallons = 64 oz
64 oz / 8 oz glasses = 8 8-oz glasses
show how you would use partial products to solve 3x12
Answers
Answer:
(10x3) + (2x3)
Step-by-step explanation:
break down the number with two place values (just for this case) and those numbers would be 10+2 so then you multiply each number by 3
:) hope this helps doll!
The required product of 3 × 12 by the partial product method is 36.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The partial product of 3 × 12 is given as
= 3 × (10 + 2)
= 3 × 10 + 3 × 2
= 30 + 6
= 36
Thus, the required product of 3 × 12 by the partial product method is 36.
Learn more about arithmetic here:
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The River Springs Middle School SGA wants to put on an 8th grade field trip to Universal Studios. They need to raise at least $1250 for the entire 8th grade to be able to go.Mrs Gotlib donates $600.To raise the rest of the money,SGA will sell candy bars for $5 each. Which inequality represents how many candy bars SGA will need to sell.
Please help me with this problem, i will give the max points.
Answers
Answer:
600+5c greater than or equal to sign 1250
Step-by-step explanation:
They need to raise at least 1250$ but they can also raise more than that and we do not know how many candy bars they will be able to sell.
g(x) = 3x - 2 Find g(-4)
Answers
Step-by-step explanation:
g(x) = 3x - 2
g(-4) = 3(-4) - 2
= -12 -2
= -14
Answer:
Given : g(x) = 3x-2
To find : g(-4)
Step-by-step explanation:
Solution : put g(x) = -4
Now,
g(-4) = 3(-4)-2
=-12-2
=-14
So,the g(-4) is -14....
I hope this may help you ❤️
Name the shaded angle in four different ways.
Answers
Answer:
Step-by-step explanation:
ABC
CBA
1
B
Answer:
1 ABC CBA B is the correct answers
What is |1 - 8i|?
Please answer this question
Answers
Answer:
the answer is complicated it is 5 actully
Step-by-step explanation:
the answer is 5
Answer:
√(65) Simplified
Step-by-step explanation:
The tallest basketball player in the school's basketball team is 6 feet tall . Jacobs height is 11/12 of the height of the tallest basket ball player. What is jacobs height.
Answers
Answer:
Jacob is 5 1/2 ft
(>'-'<)
Can someone help and tell me how you got the answer
Answers
Answer:
x = 15
Step-by-step explanation:
x/3 + 10 =15
Subtract 10 from each side
x/3+10-10 =15-10
x/3 = 5
Multiply each side by 3
x/3*3 = 5*3
x=15
Last year Lenny had an annual earned income of $58,475. He also had passive income of $1,255, and capital gains of $2,350. What was Lenny’s total gross income for the year?
a.
$58,475
b.
$59,730
c.
$60,985
d.
$62,080
Answers
Answer:
d. $62,080
Step-by-step explanation:
Annual earned income = $58,475
Passive income = $1255
Capital gains = $2350
Unknown:
Total gross income for the year = ?
Solution:
Gross income is the some of all the income within a given period time.
Gross income = Annual income earned + Passive income + Capital gains
= $58,475 + $1255 + $2350
= $62,080
His gross income is $62,080
Answer:
His gross income is $62080
Step-by-step explanation:
Gross income, in other words, means total income. So if you want to find the gross income, you have to add ALL his earnings together.
$58475+$1255+$2350=$62080
And that is the final answer, since that his is only income earned.
Mr.Martin agreed to pay 4/5 of the 60 dinner bill how much will mr.Martin pay.WILL GIVE BRAINLIST
Answers
Answer:
he paid 48 dollars
Step-by-step explanation:
its 48 because he payed 4/5 which is 80 percent of 60 and 80 percent of 60 is 48
Which is f(–3) for the quadratic function graphed?
Answers
Answer:
the answer is -9
could you also please mark me as brainliest?
Explanation: that is what i got and so did the other person.
15-3yi=1/2x+2i solve for x and y
Answers
Answer:
x=2(5−3iy−2i)
Step-by-step
Regroup terms.
5-3iy= \frac{1}{2} x+2i
Simplify \frac{1}{2}x\frac{x}{2}
5-3iy= \frac{x}{2}+2i
Subtract 2i from both sides.
5−3iy−2i= \frac{x}{2}
Multiply both sides by 2.
(5−3iy−2i)×2=x
Regroup terms
2(5−3iy−2i)=x
Switch sides
x=2(5−3iy−2i)
The solution for the variables x and y are 30 and -2/3 respectively:
Given the expression 15-3yi=1/2x+2i, to solve for the value of x and y, we need to compare the real and the imaginary sides as shown:
Comparing the real sides:
[tex]15=\frac{x}{2} \\x= 15\times 2\\x = 30[/tex]
For the imaginary sides:
[tex]-3yi=2i\\-3y = 2\\y = -\frac{2}{3}[/tex]
Hence the solution for the variables x and y are 30 and -2/3 respectively:
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∠DAY is a right angle if m∠DAY = ½ x + 34 then solve for the value of x algebraically please help
Answers
Answer:
112°Step-by-step explanation:
Given∠DAY is a right angleand
m∠DAY = 1/2x + 34 Solving for xRight angle equals 90°, therefore
1/2x + 34° = 90°1/2x = 90° - 34°1/2x = 56°x = 56°*2x = 112°Find the solution to the following system using substitution or elimination: y = - 2x + 7 y = 3x - 8 O A. (1,1) O B. (2,1) O C. (3,1) O D. (3,2)
Answers
The required solution to the given system of equations is (3,1) using the substitution method.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The system of given equations following as:
y = - 2x + 7 ....(i)
y = 3x - 8 ....(ii)
We have to determine the solution to the given system using substitution or elimination.
The required solution using the substitution method would be as;
Substitute the value of the equation y = 3x - 8 in equation (ii), and solve for x
3x - 8 = - 2x + 7
3x + 2x = 7 + 8
5x = 15
x = 15/5
x = 3
Substitute the value of x = 3 in equation (ii), and solve for y
y = 3(3) - 8
y = 9 - 8
y = 1
Thus, the solution to the given system of equations is (3,1).
Learn more about the equation here:
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Suppose 435 students in a school are placed on teams for Play Day. Each team consists of more than two players and fewer than 30 players. All teams will have the same number of players. What size of teams are possible? How many teams of each size are possible?
Answers
Answer:
14.5
Step-by-step explanation:
divide
4-4/9x=2/3
Rewrite so there no more fractions
Answers
Answer:
x=7.5
Step-by-step explanation:
4-4/9x=2/3
-4/9x=2/3-4/1
-4/9x=-12/3-2/3
-4/9x=-10/3
TIMES 3 To each side.
-4x=-30
x=7.5
question 14 I mark as brainliest
Answers
Answer: Number 4
Step-by-step explanation: None
I’ll mark Brainly! Andy deposits $25 in his checking account.
Bay City is 12 feet above sea level.
The team lost 12 yards on the play.
The temperature is 12 degrees below zero.
Anna withdrew $25 from the ATM.
Answers
2. second one it says bay city is 12 ft ABOVE sea level that is also a positive number so that is positive 12.
3. For the third one a team LOST 12 yards so that is negative
4. The temperature is 12 degrees BELOW zero so that means it’s a negative 12
5.Anna WITHDREW $25 form a atm so that means she took out with is a negative 25
The price of Stock A at 9 A.M. was $15.75. Since then, the price has been increasing at the rate of $0.05 per hour. At noon, the price of Stock B was $16.53. It begins to decrease at a rate of $0.13 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?
Answers
Answer: 3.5
Step-by-step explanation:
Answer:
give me a answer
Step-by-step explanation:
Two numbers are given 64 and 100 what is the greatest common factor of these two numbers
Answers
Answer:
The common factors of 64 and 100 are 4, 2, 1, intersecting the two sets above. In the intersection factors of 64 ∩ factors of 100 the greatest element is 4. Therefore, the greatest common factor of 64 and 100 is 4.
Step-by-step explanation:
Which statement about the angle measures is true?
mZBAC + m2ABC = 95
mZBAC + m2ACB = 85
mZBAC-MZABC = 85
mZBAC + m2ACB =95
DONE
My Progress
Answers
Answer:
i think its the 2nd one
Step-by-step explanation:
finding slope hw1 ( HELP PLEASE)
Answers
15 + x ≤ –45 solve using inverse opertation
Answers
I believe the answer is x ≤ -60.
Will had 837 stamps in his collection. He
had 187 stamps from Tobago. The rest of his
stamps were from Fiji. How many stamps did
Will have from Fiji?
otebo...
Posted today at 8:49 am
Write a comment
Answers
Answer:
650 from fiji
Step-by-step explanation:
837-187=f
837-187=650
Simplify the
composite function
(g o f) (x)
f(x)=2x+3
g(x)=x
Answers
Answer:
[tex]2x^{2} +3x[/tex]
Step-by-step explanation:
g(2x+3)
x(2x+3)
2x^2+3x
x ( 2x + 3 )
2x^2+3x