how to factor g2 − 32g + 256
Answer:
Using the snowflake method, you have to find the factors of 256 that add up to get 32.
The result will look like this:
(g-16)(g-16)
Answer:
[tex](g-16)^2[/tex]
Step-by-step explanation:
[tex]g^2-32g + 256[/tex]
To factor it you should remember that
[tex](a-b)^2 = a^2 -2ab+b^2[/tex]
It is easy to seee that
[tex]32 = 2 \cdot 16[/tex]
and
[tex]256 = 16^2[/tex]
Therefore
[tex]g^2-32g + 256 = g^2 - (2\cdot 16)g+ 16^2 = (g-16)^2[/tex]
why is y=4 not a literal equation
A literal equation is x^2 + 2y = 1 because it contains more then one distant variable while y = 4 doesn’t, it only contian y.
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
A Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
A literal equation is x^2 + 2y = 1 because it contains more then one distant variable while y = 4 doesn’t, it only contian y.
Therefore, y=4 is not a literal equation because it has y as the only variable that appears.
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Some teenagers collected trash for a beach clean-up. The data for the number of pounds of trash collected by each teenager are shown below.
26, 26, 21, 22, 20, 25, 35
What is the range of the data?
Answer:
D. 15 pounds
Step-by-step explanation:
35-20=15
The range of the data that represents the number of pounds of trash collected by each teenager is 15.
What is the range of a data set?The range is the difference between the Maximum value of the data set and the Minimum value of the dataset. Therefore, we can write the range as,
Range = Maximum value of the data set - Minimum value of the dataset
Given the data for the number of pounds of trash collected by each teenager as 26, 26, 21, 22, 20, 25, and 35.
Now, from the data, the Maximum value of the data set is 35 and the Minimum value of the dataset is 20. Therefore, we can write the range of the data set as,
Range = Maximum value of the data set - Minimum value of the dataset
= 35 - 20
= 15
Hence, the range of the data that represents the number of pounds of trash collected by each teenager is 15.
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There’s a cat on the tree! Joe puts a 13-foot ladder against the tree so that its top end is exactly where the cat is at. The bottom of the ladder is 5 feet from the base of the tree. How high is the cat from the ground?
Answer:
12 feet
Step-by-step explanation:
working through this one. An airplane cuts through the morning sky. For every 1,000 feet that it climbs, the outside temperature drops 20 degrees Fahrenheit What is the rate of temperature change in degrees Fahrenheit per foot? In the following activity, you'll use what you know about dividing rational numbers to find the solution. Complete the steps below to answer the question. write the change in elevation and the temperature as rational number.
Answer:
1 degree per 50 ft
Step-by-step explanation:
1000÷20 = 50
Question 61 point)
Chip earns a base salary of $500 per month as a salesman. In addition to the base salary, he earns $100 per product that he sells. If his
goal is to earn $5000 per month, how many products does he need to sell?
Kayla wants to know if she can afford the two sweaters. (which are $20.75 and $34.95) Given that $34.95, mentally add $20.75 plus $35 and the sum gives her $55.75. How will Kayla have to compensate to get the exact sum of the two prices?
Answer:
I think she will need to divide or subtract to get the exact sum of the two prices .
Step-by-step explanation:
Evaluate this expression: 39 ÷ (2 + 1) - 2 × (4 + 1).
Answer:
9.5
Step-by-step explanation:
here's my work
An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the expression 39 ÷ (2 + 1) - 2 × (4 + 1) is 3.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Using the rule of BODMAS the solution for the expression 39 ÷ (2 + 1) - 2 × (4 + 1) is,
39 ÷ (2 + 1) - 2 × (4 + 1)
= 39 ÷ (3) - 2 × (5)
= 13 - 2 × (5)
= 13 - 10
= 3
Hence, the solution for the expression 39 ÷ (2 + 1) - 2 × (4 + 1) is 3.
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need quick aaaaaaaaaaaaa
Answer:
5.0 x 10^4
did the thing this is right
What is the greatest whole number that rounds to 2,800 when rounded to the nearest hundred? The least whole number?
Answer:
The greatest is 2,799
The lowest is 2,750
Step-by-step explanation:
Answer: The greatest whole number: 2799
The least whole number: 2750
Step-by-step explanation: I just went by the rule five or more round-up.
Explain whether the points (−13,4), (−7,3), (−1,2), (5,1), (11,0), (17,−1) represent the set of all the solutions for the equation y=−16x+116.
Yes, because all the solutions of y=−16x+116 need to be integer values for x and y.
Yes, because all of the points that are listed are on the line y=−16x+116.
No, because the set of all solutions of y=−16x+116 is represented by the line of the equation.
No, because the point (17,−1) is not on the line that represents the equation y=−16x+116.
Answer:
No, because the set of all solutions of y=−16x+116 is represented by the line of the equation.
Step-by-step explanation:
Tabithas living room is rectangle that measures 19 3/4ft by 12ft find the perimeter and the area of the room
Answer:
237ft²
63.5ft
Step-by-step explanation:
Given parameters:
Length = 19[tex]\frac{3}{4}[/tex] ft
Width = 12ft
Unknown:
Area of rectangle = ?
Perimeter of rectangle = ?
Solution:
Area of rectangle = length x width
= 19[tex]\frac{3}{4}[/tex] x 12
= [tex]\frac{79}{4}[/tex] x 12
= 79 x 3
= 237ft²
Perimeter of rectangle = 2(length + width)
= 2 (19.75 + 12 )
= 63.5ft
A faucet drips 2/5 gallon of water in 3 1/2 hours. What is the unit rate of water dripped per hour?
Answer:
4/35 gallons per hour
Step-by-step explanation:
Take the amount of water and divide by the time
2/5 gallon
------------------
3 1/2 hours
2/5 ÷ 3 1/2
change to an improper fraction
2/5÷ 7/2
Copy dot flip
2/5 * 2/7
4/35 gallons per hour
5) Kareem Abdul-Jabbar holds the NBA record for the most points scored in a
career, 38,387. In the first 280games of his career, LeBron James has scored 7446
points. At this rate, how many more games willLeBron James need to play to
break Abdul-Jabbar's career record?
Answer:
Step-by-step explanation:
LeBron James need to play to 1444 games to break Abdul-Jabbar's career record.
What is rate of change?A rate of change is a rate that describes how one quantity changes in relation to other.
Given world record Kareem Abdul-Jabbar = 38,387 points.
Games played by LeBron = 280 games
Score of LeBron = 7446 points
Hence for each point LeBron has to play = 280/7446 games
Therefore to break the world record number of games required
= (280*38,387)/7446
number of games required = 1443.5
or, number of games required = 1444
Hence,at this rate LeBron James need to play to 1444 games to break Abdul-Jabbar's career record.
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5 1/5- 1 3/4 fractions
Answer:
3 9/20
Step-by-step explanation:
first find a common demonator and change the denomators and what ever you did to the bottom you do to the top, then subtract them.
Please help answer this for me :)
Answer:
d=3/2 this should be it
Step-by-step explanation:
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand. Identify the type I error for the test.
A. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
B. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
C. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
D. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand.
Answer:
B. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand
Step-by-step explanation:
The type I error is rejection of true null hypothesis.
In the given scenario our hypothesis are
Null hypothesis: The proportion of Americans that have seen a UFO is equal to 2 in a thousand.
Alternative hypothesis: The proportion of Americans that have seen a UFO is less than 2 in a thousand.
Type I error is the rejection of true null hypothesis so, in this case type I error is rejection of claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
A pharmaceutical sales representative gets paid $50,000 annually plus
3.5% commission on total sales. This year he sold $420,000 in
pharmaceuticals. What are his annual total earnings?
100% = $420,000
3.5% = 3.5/100 × 420,000
= $ 14,700
Commission he earned = $14,700
Annual total earnings= $50,000 + $14,700
= $ 64,700
Answer:
14,500
Step-by-step explanation:
2. Which of the following is an irrational number?
A. 3
B. 3.5
C. 36
D. 15
Answer:
C. 36
because can not be expressed as a ratio
Decimal expansion for 8/11
Answer:
0.72
Step-by-step explanation:
Nellie purchased 6.5 pounds of strawberries for $12.87. Calculate the cost of a single pound. (Round to the nearest tenth or cent when necessary)
Answer:
The answer is $1.98.
Step-by-step explanation:
The butterfly method shows how to do this. It is 12.87 over 6.5 equals x over 1. Cross-multiply to get 6.5x = 12.87. Divide both sides by 6.5 to get x = 1.98.
Find the perimeter of the figure.
7 mi
7 mi
Answer:
28mi
Step-by-step explanation:
The shape given is a square because all the internal angles are the same. Also, all the sides are equal;
The perimeter of a square is given as;
= 4L
Where L is the dimension of the sides
L in this problem is 7mi
Input the parameter and solve;
Perimeter = 4 x 7 = 28mi
2. How far does light travel in water in 5.0 X
102 seconds, if the speed of light in water is 3
108 m/s?
|3d-3n|-4 if n=2 and d=3
Answer:
-1
Step-by-step explanation:
[tex]|3d-3n|-4[/tex]
Once we have an absolute value, we know that
[tex]|3d-3n| \geq 0[/tex]
[tex]\text{For }n=2 \text{ and } d=3[/tex]
[tex]|3(3)-3(2)|-4[/tex]
[tex]|9-6|-4[/tex]
[tex]|3|-4[/tex]
[tex]3-4[/tex]
[tex]-1[/tex]
i need help on this question this is what i need help with
416+ 523⎯⎯⎯⎯⎯⎯⎯⎯⎯
Answer:
416+523=939
Step-by-step explanation:
can i pls get a brainlieast for this and a thank you pls and a 5 stars
Answer:
9 3/9Step-by-step explanation:
If y =3x-5,and x=5 then y ???
Help with 50-52 pleaseeeee ASAP
Answer: -2
Step-by-step explanation:
Flip the equation around and subtract 52-50.
The answer will be 2 so put a negative sign in front since the larger number is being subtracted.
(sorry if this explanation sucks i'm not that good at explaining things)
What’s the height of the building if it 77% of 596
an inspector tested the first 125 radios that came off the production line today and found only 60% acceptable. After the inspector tested 25 more radios, the overall percentage of acceptable radios rose to 62%. The number of these 25 radios that were rejected is???
Answer: 7 radios
Step-by-step explanation:
The following can be deduced from the question:
Number of radios tested = 125 radios
Percentage acceptable = 60%
Numbers acceptable:
= 60% × 125
= 0.6 × 125
= 75 radios
Numbers rejected = 125 - 75 = 50 radio
We are further told that the inspector tested 25 more radios, this will be:
Number of radios tested
= 125 + 25 = 150 radios
Percentage acceptable = 62%
Numbers acceptable
= 62% × 150
= 0.62 × 150
= 93 radios
Numbers rejected= 150 - 93 = 57 radios
The number of these 25 radios that were rejected will be:
= 57 - 50
= 7 radios
I will give brainliest :D
Which equation matches this scenario?
A family buys 8 tickets to a show. They also pay a $5
parking fee. They spend $61 to see the show.
• 5x+8=61
• 61+8x=5
• 8+5x=61
• 8x+5=61
Answer: 8x + 5= 61
Step-by-step explanation: x represents the cost of one ticket for the show, 8 is the amount of tickets, 5 is the extra fee, 61 is the total.