Answer:
C. the set of all positive integers
Step-by-step explanation:
You want to know the appropriate domain of the function f(x) where x is months after a plant was planted, and f(x) is the height of the plant.
DomainThe domain of a function is the set of values of the independent variable for which the function is defined. In this case, the independent variable is x, the number of months after the plant was planted. Months are counted using the natural numbers, the set of all positive integers.
The appropriate domain is the set of all positive integers.
__
Additional comment
As a practical matter, the domain will have an upper limit, so will not actually be all positive integers.
The range of function values is likely the set of positive real numbers, though it might be integers if the measurements are recorded as integer values (mm or cm or in, for example).
when simplifying rational expressions, the first step is to ______ the numerator and denominator
Answer:
DETERMINE COMMON FACTORS
Step-by-step explanation:
the price of the computer is 899$ the tax rate is 7% what is the sales tax on this computer in dollars and cents
The sales tax on this computer in 62 dollars and 93 cents
What is the sales tax on this computer in dollars and cents?The given parameters
Price = $899
Tax rate = 7%
The sales tax on this computer in dollars and cents is calculated as
Sales tax = Price * Tax rate
This gives
Sales tax = $899 * 7%
Evaluate
Sales tax = $62.93
Hence, the sales tax on this computer in 62 dollars and 93 cents
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a survey of 800 households revealed that 400 had only a TV, 100 had only a computer, and 100 had neither a tv nor a computer. how many households have both a tv and a computer?
The number of households which have both TV and computers are 200.
What is defined as the Boolean algebra (logical expressions)?Boolean algebra is a branch of algebra in math and mathematical logic where the value of the variables are indeed the truth values both true and false, typically represented 1 and 0, respectively.Synonyms, such as 'Yes' for 'True' as well as 'No' for 'False,' are sometimes used to represent the statement.Let A be the number of house hold having only TV = 400
Let B be the number of house hold having only computers = 100
Let C be the number of house hold having neither TV nor computer = 100
Let D be the number of house hold having both TV and computer.
Then, the number number of house holds are 800.
A + B + C + D = 800
Put the values;
400 + 100 + 100 + D = 800
D = 800 - 600
D = 200
Therefore, the number of households having both TV and computer are 200.
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3y+z=am-4y look for y
The value of y is am-z/7
How to calculate the value of y ?The expression is given as follows
3y +z= am-4y
The first step is to collect the like terms in both sides, this way the numbers that both have y as their coefficient will be on the same side
3y + 4y= am-z
y(3+4)= am -z
7y= am-z
Divide both sides by the coefficient of y which is 7
7y/7= am-z/7
y= am-z/7
Hence the value of y in the expression is am-z/7
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NO LINKS, WILL GIVE BRAINLIEST, please help me find the slope!!
Answer:
Step-by-step explanation:
30
angle EFG and angle GFH are a linear pair, angle EFG=2n + 25 and angle GFH=4n + 17 what are angles EFG and GFH?
The angles EFG and GFH are 71 and 109 degrees
How to determine the angles EFG and GFH?The given parameters are:
EFG =2n + 25
GFH = 4n + 17
Linear pair angles are supplementary angles
So,we have
2n + 25 +4n + 17 = 180
Evaluate the like terms
6n= 138
Divide by 6
n = 23
Substitute n = 23 in EFG =2n + 25 and GFH = 4n + 17
EFG = 2 * 23 + 25 =71
GFH = 4 * 23 + 17 = 109
Hence, the angles EFG and GFH are 71 and 109 degrees
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it's due by 12 am. please help as soon as possible
Answer:
Step-by-step explanation:
25. 5 < x < 7
Answer for i^372
And i^527 with explanation please
[tex]i {}^{372} = 1 \\ i {}^{527 } = - i[/tex]
Step-by-step explanation:
Greetings !
Note that:-
[tex]i {}^{2n} = 1.\: if \: n \: is \: even \\ \: \: \: \: \: \: \: = - 1. \: if \: n \: is \: odd[/tex]
And also
[tex]i {}^{2n + 1} = i. \: if \: n \: is \: even \\ \: \: \: \: \: \: \: \: \: \: = - i.\: if \: n \: is \: dd[/tex]
Thus, remembering these general formula plug in values in the place of n and solve.
Therefore,
[tex]i {}^{2(186)} = i {}^{372} = 1[/tex]
where n is even thus its 1 from the above explanation
[tex]i {}^{2(263) + 1} = i {}^{527} = - i[/tex]
following the same procedure the values exceeds to be -i.
Hope it helps !!!
▶ Use the part of the nutrition label on the right. If protein contains approximately 4 calories per gram, find the percent of calories from protein from one serving of this food. (Round to the nearest tenth of a percent.) ww. The percent of calories from protein from one serving of this food is %. Nutritional information per serving Calories 277 Protein Carbohydrate Fat 11g 45g 6g
The percent of calories from protein from one serving of the food is found as 15.88%.
What is defined as the term percentage?A relative value representing the hundredth part of any quantity One percent (denoted 1%) is one hundredth part; thereby the, 100 percent describes the entire amount and 200 % identifies twice the given amount.
For the given information;
The total calories is 277.
Nutrients information in food.
Protein - 11g
Carbohydrate - 45g
Fat - 6g
The protein contains 4 calories per gram.
Thus, 11 grams of protein contains 4×11 = 44 calories per grams.
Find the % content of protein out of 277 calories;
p% of 277 = 44
p% = (44×100)/277
p% = 15.88%.
Therefore, the percentage of protein contained in the serving food is 15.88%.
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Adult tickets to the museum cost $4, while student tickets
cost $3. If 105 tickets were sold for a total of $380, how
many of each were sold?
65 adult tickets were sold whereas 40 student tickets were sold as well
What approach is appropriate to solve the word problem?
The most suitable approach to determine the number of each type of tickets sold is by simultaneous equation such the word problems are modelled into equations which are solved together to ascertain the number of adult and student tickets sold altogether
let x be adult tickets sold
let y be student tickets sold
x+y=105........ equation 1
4x+3y=380........ equation 2
from equation 1, x=105-y
substitute for x in equation 2
4(105-y)+3y=380
420-4y+3y=380
420-y=380
420-380=y
40=y
y=40
x=105-40
x=65
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just need the second one done please
Answer: 15
Step-by-step explanation:
order all the numbers from least to greatest and then find the one in the middle
could someone please help answer this.
Answer:
+ 12 yards
Step-by-step explanation:
8-3 = 5
5 + 12 - 5 = 12
S= 1/2( a + b + c) solve for b
The solution of the equation for b is b = 2s - a - c
How to solve for b in the equation?The equation is given as
s= 1/2(a + b + c)
Multiply through by 2
So, we have
2s = a + b + c
Subtract a and c from both sides of the equation
b = 2s - a - c
Hence, the solution of the equation for b is b = 2s - a - c
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Can you help me solve for X. 4x+9=11
Answer as a fraction: x = 1/2
Answer in decimal form: x = 0.5
Work Shown:
4x+9 = 11
4x = 11-9
4x = 2
x = 2/4
x = 1/2
x = 0.5
Explanation: I subtracted 9 from both sides (step 2). Then I divided both sides by 4 to fully isolate x (step 4)
-10x—16=14
-16x -6 = 14
Answer: No solution
Step-by-step explanation:
-10x-16=14
-16x-6=14
-10x-16=-16x-6
-10x+16x-16=-16x+16x-6
6x-16=-6
6x-16+16=-6+16
6x=10
x=10/6
x=5/3
-16(5/3)-6=
-80/3-6*3/3=
-80/3-18/3=
(-80-18)/3=-98/3 [tex]\neq[/tex] 14
Hence, there is no solution
-2 ( 3x + 2 ) ≥ 6x – 4
Answer: x ≤ 0. Interval Notation: (-∞, 0]
Use the factor theorem to write a polynomial equation that has solutions of 2, -2, and 4. (Hint: Suppose the solutions of a quadratic equation are 3 and 5. This means that x = 3 or x = 5 which gives us x - 3 = 0 or x - 5 = 0. The expressions are the factors of the polynomial which means that the equation is (x - 3)(x - 5) = 0.)
The equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.
What is the polynomial equation that has solutions of 2, -2, and 4?Roots are the points where the graph intercepts with the x-axis ( y = 0 ).
Given the roots in the question;
x = 2, -2, 3
Now, the root of x = 2 was found solving for x when x - (2) = y but y = 0.
Hence, (x - 2) is a factor.
Next, the root of x = -2 was found solving for x when x - (-2) = y but y = 0.
Hence, (x + 2) is a factor
And the root of x = 4 was found solving for x when x - (4) = y but y = 0.
Hence, (x + 2) is a factor
Now, combine all the factors into a single equation and simplify.
( x-2 )( x + 2 )( x - 4 ) = y
( x² + 2x - 2x - 4 )( x - 4) = 0
( x² - 4 )( x - 4) = 0
x( x² - 4 ) -4( x² - 4 ) = 0
x³ - 4x - 4x² + 16 = 0
x³ - 4x² - 4x + 16 = 0
x³ - 4x² - 4x + 16 = 0
Therefore, the equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.
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HELP ME OUT PLEASE!!!
What does the slope represent?
Answer:
there is a change of 2* per hour
Step-by-step explanation:
Answer:
The slope is 2
Step-by-step explanation:
Slope is rise/run
4/2=2
Let f(x)=12x+7. Use algebra to find the inverse function f^-1(x).
Step-by-step explanation:
Replace x with y and y with x.
Then, try to isolate the y.
x=12y+7
x-7=12y
(x-7)/12=y
f^-1(x)=(x-7)/12
Leo's bakery made three dozen batches of
cookies. Each batch of cookies made 26 cookies
How many cookies did the bakery make?
Answer:
first we find out how much is three dozens?
3 x 12 =36
now we multiply 26 and 36 to find out the number of cookies
26 x 36 = 936
936 cookies is your answer
3x + 6y = 9 solve for x
Answer:
x= -2y+3
Step-by-step explanation:
First move the variable to the right: 3x= 9-6y
Next divide both sides of the equation by 3: x=3-2y
Lastly reorder the numbers, the variable should be placed first: x= -2y+3
Thunder from a bolt of lightning travels 1/10 mile in 1/2 second. At this rate, how many miles can it travel in one second?
Answer:
1/5 mile
Step-by-step explanation:
1/10 mile in 1/2 second
This can be written as a ratio:
1/10 mile : 1/2 second
We need the ratio in terms of 1 second, so multiply both numbers in the ratio be 2.
2 × 1/10 mile : 2 × 1/2 second =
= 2/10 mile : 1 second
= 1/5 mile : 1 second
Answer: 1/5 mile
Use the given graph of f to find a number such that if 0 < |x − 3| < then |f(x) − 2| < 0.5.
Answer:
x=3, = -2
Step-by-step explanation:
7x + 3x + x⁴ divided by x-2
Answer:
10x + x^4/x-2
Step-by-step explanation:
Combine like terms
(10x + x^4)/(x-2)
Identify the set of X-values for which f(X) is greater than or equal to 0.
The given function is greater than or equal to 0 for the interval given as follows:
{x | x ≤ -3 or -1 ≤ x ≤ 0 or x ≥ 2}.
When a function is positive and when it is negative?A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.For this problem, with a closed interval, we have that the function is above for:
x ≤ -3, -1 ≤ x ≤ 0, x ≥ 2.
Hence the interval notation is:
{x | x ≤ -3 or -1 ≤ x ≤ 0 or x ≥ 2}.
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Refer to the number line. Find the coordinate of point X such that the ratio of MX to XJ is 3:1.
The coordinate of point X such that the ratio of MX to XJ is 3:1 is 12
How to determine the coordinate of point X?The coordinates are given as:
M = 2
J = 18
The ratio is given as:
Ratio = 3 : 1
The location of the point X is then calculated as:
X = Ratio * (J - M)
This gives
X = 3/(3 + 1) * (18 - 2)
Evaluate
X = 3/4* 16
This gives
X = 12
Hence, the coordinate of point X such that the ratio of MX to XJ is 3:1 is 12
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Step-by-step explanation:
show how to work out the question
what is the value of 10 to the power of -16 written as a fraction
Answer: 1e-16
Step-by-step explanation:
Steps
(x)n = (10)-16
=
1
10 x 10 x .... x 10
=
1
10000000000000000
= 1e-16
pleaseeee helppppp will give extra points
How do i find the slope and y intercept fir 3x + 2y = 4
you have to get x and y by themselves on their own sides of the equation. What you do too one side you do to the other.
3x+2y=4
-3x -3x
2y=-3x+4
/2 /2
y= -3/2x+2
the Slope is the value by the x and the y is the one without a variable. sometimes equation do not have a y intercept which means they pass through the origin.
in this equation the slope is -3/2 and the y intercept is (0,2).
Calculate (6.25×109) - (3.44 × 108)
Answer: 309.73
Step-by-step explanation:
