choose the correct word to complete the following sentance: a natural number is (always, sometimes, never) a whole number
simplify the expression (2x − 9)(x + 6). 2x2 − 54
Answer:
2x²+3x-54
Step-by-step explanation:
To simplify the expression
(2x − 9)(x + 6)
We will multiply both linear equations together to get a quadratic equation of second degree.
(2x − 9)(x + 6)
= 2x²+12x-9x-54
= 2x²+3x-54
This gives the required quadratic expression after simplification.
please help !! A safety regulation states that the height h of a guardrail should be 106 centimeters with an absolute deviation of no more than 7 centimeters. Write and solve an absolute value inequality that represents the acceptable heights of a guardrail. The absolute value inequality is_ . The acceptable range of heights of a guardrail are _cm to _cm.
The height h of a guardrail = 106 centimeters
absolute deviation = 7 centimeters
To find the acceptable heights of a guardrail , we add and subtract absolute deviation(7) from the mean height(106)
The acceptable range of height is 7 cm away from 106 to the left and then to the right.
106 + 7 = 113
106 - 7 = 99
acceptable heights are defined by
99 <=h<=113
The absolute value inequality is |x-106|<=7
The acceptable range of heights of a guardrail are 99 cm to 113 cm.
We want to write an absolute value equation for the acceptable range of the height of a guardrail.
The acceptable range of heights of a guardrail is 99cm to 113cm.
And the absolute value equation is: |h - 106cm| ≤ 7cm
We know that the height should be 106cm with an absolute deviation of no more than 7 cm.
So the maximum height is:
106cm +7cm = 113cm
The minimum is:
106cm -7cm = 99cm
The absolute value equation that represents this is:
|h - 106cm| ≤ 7cm
Where h is the height of the guardrail.
The acceptable range of heights of a guardrail is 99cm to 113cm.
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The difference between two numbers is 10 and their sum is four times the smaller number Find the two numbers.
A = larger number
B = smaller number
A -B = 10
A + B = 4B
A=10+B
10+B+B = 4B
10 +2B = 4B
10=2B
B = 10/2 = 5
A = 10+5 =15
15-5 =10
15+5 = 20, 4*5 = 20
the numbers are 5 & 15
Which is more, 6 kilograms or 5,999 grams?
Solve for c.
a(c + b)=d
A. c = d + ab / a
B. c = d − ab/b
C. c = d − ab/a
D. c = ab − d/a
Solve for b.
d = 3a + 3b
A. b = 3a−d/3
B. b = d−3a/3
C. b = d − 3a
D. b = d − 3a/ a
The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h.
A = h(a+b)/2
Solve for b.
b=2A−a/h
b=Ah/2 − a
b=2A/h − a
b=2A/h + a
The formula for the perimeter of a rectangle is P = 2(l+w).
Solve for l.
l = 2P − w
l = p−w/2
l = P/2 + w
l = p/2 − w
Answer:
Here is your answer for K12 AZVA:
c = d − a b / a
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Order feet,inches,miles,yards from most precise to least precise
If f(x)=2x^2+1, what is f(x) when x=3
A social worker examines the level of aggression (measured on a 100-point scale) of four groups of individuals before they begin anger management classes. using the weighted mean, determine the overall mean level of aggression for all four groups. group 1: mean = 82, n = 15; group 2: mean = 87, n = 12; group 3: mean = 93, n = 22, and group 4: mean = 79, n = 11
In a certain grocery store, strawberries cost $4.48 per pound ( 4.48 dollars/lb ). What is the cost per ounce?
To solve this problem, all we have to do is to convert the pounds to ounce. We know that the conversion factor is:
1 pound = 16 ounce
Therefore:
cost per ounce = ($ 4.48 / pound) * (1 pound / 16 ounce) = $0.28 / ounce
Answer: There is cost $0.28 per ounce.
Step-by-step explanation:
Since we have given that
Cost per pound = $4.48
We need to find the cost per ounce.
As we know that
1 pound = 16 ounces
So, Cost per ounce would be
[tex]\dfrac{4.48}{16}\\\\=\$0.28[/tex]
Hence, there is cost $0.28 per ounce.
What is the length of y on this circle
8 units
12 units
10 units
18 units
How is place value used to read decimals
The measurement 5.22 cm has three significant figures which means that
t - yc = b solve for c (literal equations)
Hey!
Hope this helps...
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Like equations with the same variable on both sides...
We want to get c by itself...
T - yc = b [Subtract T from both sides]
-yc = b - T [divide -y from both sides]
c = -(b - T)/y
So...
The answer is: c = -(b - T)/y
Subtract the following military times: 2330 - 0540
To find the difference between two times in military format, convert each time to minutes. Subtract the later time from the earlier one, and then convert the result back to hours and minutes. The difference between 2330 and 0540 is 17 hours and 50 minutes.
Explanation:To calculate the difference between two military times, we first need to understand that military time runs on a 24-hour clock rather than a 12-hour clock. In this instance, you are being asked to subtract 05:40 from 23:30.
First, it would be easier to convert these times into minutes. So, 23:30 becomes (23*60) +30 = 1410 minutes. Similarly, 05:40 becomes (5*60) +40 = 340 minutes.
Then we subtract the two: 1410 - 340 = 1070 minutes. Now, we convert it back to hours and minutes. There are 17 hours and 50 minutes in 1070 minutes. Therefore, the difference between 2330 and 0540 in military time is 1750 or 17 hours and 50 minutes.
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Final answer:
To subtract the military times 2330 from 0540, convert 1 hour to 60 minutes, add to the minutes of 2330, and then subtract both the hours and minutes separately. The result is 17 hours and 50 minutes.
Explanation:
Subtracting military times requires understanding the 24-hour clock system and being able to handle situations where you must "borrow" time from one hour to subtract minutes from another. To subtract 2330 (11:30 PM) from 0540 (5:40 AM), we need to do the following:
First, recognize that 2330 is later than 0540, so we will be finding how much time elapses from 0540 to 2330.Since we cannot subtract a larger minutes unit from a smaller one, we convert one hour from the hour's digit of 2330 into 60 minutes and add this to the 30 minutes already present, giving us 90 minutes.Now we have 22 hours and 90 minutes.Subsequently, subtract the minutes: 90 - 40 = 50 minutes.Finally, subtract the hours: 22 - 5 = 17 hours.The result is 17 hours and 50 minutes.
How would I do this?
Solve the Quetion and times 50 equals 5000 explain your solution
Stan wants to make a rectangular garden. he has 34 ft of fencing to put around the perimeter. if the length is to be 5 ft more than the width, find the dimensions of the planned garden.
Using the concept of perimeter and given conditions, the planned garden's dimensions should be 6 feet by 11 feet with a total perimeter coverage of 34 feet.
Explanation:The problem can be solved by using the concept of perimeter in mathematics. The perimeter of a rectangle is the sum of all its sides, and given that Stan has 34 ft of fencing, this can be translated to a formula: 2*(length + width) = 34ft.
From the question, we also know that the length of the fence is 5 ft more than the width. This can also be translated into an equation: length = width + 5.
By substituting this into the earlier equation, we can find the width: 2*(width + width + 5) = 34, which simplifies to 4*width + 10 = 34. Solving this gives us width = 6 ft.
Substitute width = 6 ft into the length equation to get length = width + 5 = 6 + 5 = 11 ft. Therefore, the dimensions of the planned garden are 6 ft by 11 ft.
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Chris had a tin of 24 cookies he has eaten 2/4 of the cookies how many cookies did he eat
PLEASE HELP Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x
f(x) = (x+3)/4
g(x) = 4x - 3
How to you find the cotangent of 5(pi)/6?
Gabrielle is 14 years older than Mikhail. The sum of their ages is 96 . What is Mikhail's age?
Line c has a slope of -6/7. line d has a slope of -6/7. are line c and d parallel or perpendicular?
Lola takes the train from Paris to Nice. The distance between the two cities is about 921,000 meters. If the train travels at a speed of 307 kilometers per hour, how long will it take Lola to travel from Paris to Nice
Answer: It will take 1.75 minutes to travel from Paris to Nice.
Step-by-step explanation:
Since we have given that
Distance between the two cities = 921,000 meters
Since we know that
1 km = 1000 meters
[tex]1\ m=\dfrac{1}{1000}\ km\\\\921000\ m=\dfrac{921000}{1000}\ km=921\ km[/tex]
Speed at which the train travels = 307 km/hr
As we know the formula for time taken:
[tex]Time=\dfrac{Distance}{Speed}=\dfrac{921}{307}=0.029\ hours\\\\Time=0.029\times 60=1.75\ minutes[/tex]
Hence, it will take 1.75 minutes to travel from Paris to Nice.
Which is true? A 11.949 > 12.000 B 14.887 < 14.097 C 17.0010 > 17.0100 D 19.0929 < 19.7893
Marissa is bu buying a shirt for each of her brothers and each of her 2 sisters. Each shirt costs $7.50 and she spends a total of $30. How many brothers does Marissa Have?
Using an equation, Marissa has 2 brothers with her 2 sisters, making 4 siblings.
What is an equation?An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.
We can use an equation to solve the above problem.
The number of brothers that Marissa has = x
The number of sisters Marissa has = 2
The cost of each shirt = $7.50
The total amount spent = $30
The total number of shirts Marissa can buy with $30 = 4 ($30/$7.50)
Equation:
7.5x + 7.5(2) = 30
7.5x + 15 = 30
7.5x = 15
x = 2
Thus, Marissa has 2 brothers, based on the solved equation.
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What is the relationship between 8.76×106 and 8.76×102 ?
Select from the drop-down menus to correctly complete the statement.
8.76×10^6 is ___ times ___ than 8.76×10^2 .
1) 1000, 10,000, 100,000, or 1,000,000.
2) Greater or Less.
10^6 = 1,000,000
10^2 = 100
1,000,000 / 100 = 10,000
so 8.76x10^6 is 10,000 times greater than
(01.04) jorge was tracking the decreasing temperature in the morning. at 7
a.m., it was 65 degrees fahrenheit. at 9
a.m., it was 55 degrees fahrenheit. if jorge made the function f(x) = −5x + 100, what would the −5 represent? (1 point) the temperature at midnight the length of time he recorded for the total change in degrees the rate at which the temperature was decreasing
if f(x)=-6x+12, then f^-1(x)=
Please help. Determine the domain of the inverse function and find the inverse function.