The reactants in the chemical equation C7H16 + O2 = CO2 + H2O have a total of 7 atoms in them.
How to count the number of atoms?The chemical formula of a compound indicates how many atoms are present in the substance.
The number of atoms of each element present in a molecule is noted in a chemical formula.
The answer to this query provides the following description of the chemical interaction between heptane and oxygen:
O2 + C7H16 = CO2 + H2O
Hexane's chemical composition reveals that the reactant side of the reaction has 7 carbon atoms.
Therefore, there are 7 atoms total in the reactants of the chemical equation C7H16 + O2 = CO2 + H2O.
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Write each of the following functions in a piecewise format and sketch its graph. For each function, find the value(s) of x where one piece ends and another begins (There's 3 problems/ screenshots) (20 pts)
Using the definition of the absolute value function, we have that, for item b, the function and breaking points are given as follows:
y = -3x - 1, x < -0.5.y = x + 1, x ≥ -0.5.The function breaks at x = -0.5.
For item c, we have that:
y = -2x - 2, x < -3.y = 4, -3 ≤ x ≤ 0.5.y = 4x + 2, x > 0.5.The function breaks x = -3 and x = 0.5.
For item d, we have that: (problem 59)
y = -2x - 2, x < -1.y = 2x + 2, x ≥ -1.The function breaks at x = -1.
The graphs are given at the end of the answer.
What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.
In general terms, we have that:
|f(x)| = f(x), f(x) ≥ 0.|f(x)| = -f(x), f(x) < 0.Then, for item b, we have that:
|2x + 1| = 2x + 1, x ≥ -0.5.|2x + 1| = -2x - 1, x < -0.5.Then:
y = -3x - 1, x < -0.5.y = x - 1, x ≥ -0.5.The function breaks at x = -0.5.
For item c, we have that:
|2x - 1| = 2x - 1, x ≥ 0.5.|2x - 1| = -2x + 1, x < 0.5.|x + 3| = x + 3, x ≥ -3.|x + 3| = -x - 3, x < -3.Then:
y = -2x - 2, x < -3.y = 4, -3 ≤ x ≤ 0.5.y = 4x + 2, x > 0.5.The function breaks x = -3 and x = 0.5.
For item d, we have that:
|x + 1| = x + 1, x ≥ -1.|x + 1| = -x - 1, x < -1.Hence:
y = -2x - 2, x < -1.y = 2x + 2, x ≥ -1.The function breaks at x = -1.
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Solve each system by substitution. Check your answers.
y = 2x - 1 , 3x - y = -1
By substitution, the solution of the system of equations, y = 2x - 1 and 3x - y = -1, is (-2 , -5).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Using substitution method, given two linear equations in x and y,
y = 2x - 1 (equation 1)
3x - y = -1 (equation 2)
Since the first equation is already expressed in y in terms of x, substitute the value of y to the second equation.
3x - y = -1 (equation 2)
3x - (2x - 1) = -1
3x - 2x + 1 = -1
Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.
3x - 2x + 1 = -1
3x - 2x = -1 - 1
x = -2
Substitute the value of x in the first equation.
y = 2x - 1 (equation 1)
y = 2(-2) - 1
y = -4 - 1
y = -5
Hence, the solution of the given system of equations is (-2 , -5).
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Mila buys cookies and oranges at the store.
She pays a total of $22.39.
She pays a total of $6.58 for the cookies.
She buys 3 bags of oranges that each cost the same amount.
Write and solve an equation which can be used to determine xx, how much each bag of oranges costs.
The equation that can be used to represent the cost of oranges and cookies is; 6.58 + 3x = 22.39. Thus, the cost of each bag of orange is x = $5.27
How to Solve Algebra Word Problems?We are given;
Total Amount paid by Mila = $22.39.
Amount Mila paid for cookies = $6.58
Now, we are told that she also buys three bags of oranges. Now, if we denote the cost of each bag of orange to be x, then it means that;
Cost of 3 bags of oranges = $3x
Thus, we can write the equation to represent the cost of oranges and cookies as;
6.58 + 3x = 22.39
Subtract 6.58 from both sides to get;
3x = 22.39 - 6.58
3x = 15.81
x = 15.81/3
x = 5.27
Thus, the cost of each bag of orange is x = $5.27
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Among a town’s registered voters, there are 34% Democrats and 25% Republicans. The rest are Independents. If there are 1517 registered Independent voters in this town, how many total registered voters are there?
The total number of registered voters is 3700.
What is the total number of registered voters?
Percentage can be described as the fraction of a number expressed as an amount out of 100. Percentage is a measure of frequency. The sign that is used to represent percentages is %.
The first step is to determine the percentage of independent voters.
Percentage of independent voters : 100 - (percent of democrats + percent of republicans)
100 - (34% + 25%)
100- 59% = 41%
Total number of voters = number of independent voters / percentage of independent voters
1517 / 41%
1517 / 0.41 = 3,700
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(-2)^4÷(-4)-2(-3)(8-4)
Answer:
the answer would be 20.
Step-by-step explanation:
-
Answer:
[tex](((-2)^{4} )/(-4))-(2*(-3)*(8-4))\\[/tex] = 20
Step-by-step explanation:
breaking into 2 parts:
calculate within parenthesis: [tex](((-2)^{4} )/(-4))[/tex] = 16/(-4) = -4
calculate within parenthesis: (2*(-3)*(8-4)) = (2*(-3)*(4)) = -24
add and subtract (left to right): -4-(-24)=20
the length of a room is 4metres longer than its width.If the area of the room is 32square metres,find the length.
Answer:
https://www.calculator.net/volume-calculator.html
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
[tex](x)(x+4) = 32\\x^2 + 4x - 32 = 0\\(x - 8)(x + 4)\\\\x - 8 = 0\\x = 8 \\\\x + 4 = 0\\x = -4\\\\x = 8 \\x = -4[/tex]
8 is the answer as in a measurement there is no negative number.
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population after x years?
The function which represents the frog population after x years will be F(x) = [tex]1200 * (0.97)^{x}[/tex]
The population is decreasing at an average rate of 3% per year.
For decrease in population, if the rate is decreasing per year is r%, the initial population is P, after time x the equation to use would be:
net decrease = [tex]P * (\frac{100 - r}{100})^{x}[/tex]
r = Reduction
x = time duration
P = 1200
Reduction rate = 100 - 3 = 97%
Reduction rate will be 97% i.e. 0.97
Reduction after one year = 1200 * 0.97
Reduction after two years = 1200 * 0.97 *0.97
= 1200 * (0.97)²
Reduction rate after three years = 1200 * 0.97 * 0.97 * 0.97
= 1200 * (0.97)³
therefore,
Reduction rate after x years = [tex]1200 * (0.97)^{x}[/tex]
The function representing the frog population after x years is F(x) = [tex]1200 * (0.97)^{x}[/tex]
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Simplify the expression.
8-17 / 12-(-3)
The simplified expression is -3/5.
To simplify the given expression in question, we will solve it step wise. Firstly we will simplify the numerator by performing operation according to the sign. Similar approach will be repeated for the denominator. Then we will write it in fraction form to find the simplified form of expression.
Numerator -
Numerator = 8 - 17
Here subtraction of large number is required form small number, so the result will be subtracted value with negative sign
Numerator = -9
Denominator -
Denominator = 12 - (-3)
Here two negative signs are present, so, we will perform addition and the result will be with positive sign
Denominator = 12 + 3
Denominator = 15
Writing the fraction form -
Expression = -9/15
Dividing the expression by 3
Expression = -3/5
Hence, the simplified expression is -3/5.
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Peter pays 6% interest on his $30,000 college loan and 7% interest on his $12,000 car loan.
What average interest rate does he pay on the total $42,000 he owes?
Round your answer to the nearest tenth of a percent.
Answer:
12,000 for college 7.5,000 in car whe he pays around 20k for that
- 7 (4 - r) = 35 what's the correct answer?
Answer:
9
Step-by-step explanation:
- 7 (4 - r) = 35
First you need to do the parentheses
-7 times 4 is -28
-7 times -r is 7r
-28+7r=35
add 28 to both sides
7r=63
r=9
Answer:
r=9
Step-by-step explanation:
-28+7r=35, rearrange to put like terms together
7r=35+28, 7r=63, divide both sides by 7 to get r
r=63/7, r=9
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Find the equation of a line that passes through the point (3,-1) and has a
gradient of 1/3
Leave your answer in the form y=mx + c
Answer: y=-4x/9 + 1/3
Step-by-step explanation:
y=mx + c
**Substitute known variables into the equation**
-1=3m + 1/3
(-1=3m + 1/3)*3 ==> Multiply equation by 3 to get rid of fractions
-3=9m+1
9m=-4
m=-4/9
y=-4x/9 + 1/3
Which if the following is the correct graph for the solution of the unequal -8 >= -5x + 2 > -38
Step-by-step explanation:
Given that
The function-8 ≥ -5x + 2 > -38
To find
We have to choose correct graph for the solution of the inequality.So, according to the question
we have,
The function-8 ≥ -5x + 2 > -38
For finding the solution of this function let's solve it on two part,
First part
-8 ≥ -5x + 2, and
Second part
-5x + 2 > -38
For solution of first part ,
-8 ≥ -5x + 2,
Add (-2) both side
We will get,
-8 +(-2) ≥ -5x + 2 +(-2)
-8 -2 ≥ -5x + 2 -2
-10 ≥ -5x
10 ≥ 5x
Divide 5 both side,
We will get,
[tex]\frac{5x}{5} \ge \frac{10}{5}[/tex]
x ≥ 2
Now, for solution of second part,
-5x + 2 > -38
Add (-2) both side
We will get,
-5x + 2 +(-2) > -38+(-2)
-5x + 2 -2 > -38 -2
-5x > -40
40 > 5x
Divide 5 both side,
5x/5 < 40/5
x < 8
So, the solution of given function,
2 ≤ x < 8
Answer:
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(c) 759 TA 50% P to 67° SA Rx° R
Question in the image
Answer:
x = 56
Step-by-step explanation:
assuming you require to find the value of x
the sum of the exterior angles of a polygon = 360°
sum the 6 exterior angles and equate to 360
x + x + x + 67 + 50 + 75 = 360
3x + 192 = 360 ( subtract 192 from both sides )
3x = 168 ( divide both sides by 3 )
x = 56
Find the equation of a line that passes through the point (2,3) and has a gradient
of 1/3
Leave your answer in the form y=mx+c
Answer: y=4x/3 + 1/3
Step-by-step explanation:
y=mx+c
**Substitute already known variables**
3=2m+1/3=
(3=2m+1/3)*3= ==> Multiply the equation by 3 to get rid of fractions
9=6m+1
6m=8
m=8/6
m=4/3
y=4x/3 + 1/3
Subtract (4x2-x+6) from (3x² + 5x - 8).
O A. 7x² + 6x - 14
O B. x² + 4x + 2
O C. 7x² + 4x - 2
O D. x² + 6x - 14
Answer:
X^2 -6x+14
Step-by-step explanation:
Write algebraic expressions for two numbers with a sum of -13. Let one of the numbers be represented by x. If one number is represented by x, how would the other number be represented?
Answer:
If a sum of 2 numbers is -7 and one is x then you can write it down as X + Y = -7, or you can write it then ... Let one of the number be represented by x.
How many days does it take Company C to produce the same number of radios as Company B produces in 6 days?
Answer:
I need a picture of the diagram to answer your question.
Step-by-step explanation:
pls help!!! what do i dooo
Answer:
Save and exit.
Step-by-step explanation:
Just save and exit
Answer: Click the links slowly read or look over the meterials and then make your file(s)
not sure if i helped -^-
13.a) sketch a graph of a function that has a set of integers as its domain and all integers less than 5 as its range. b) sketch a graph of a relation that is not a function and that has the set of real numbers les then or equal to 10 as its domain and all real numbers greater than -5 as its range
The required function that has a set of integers as its domain and all integers less than 5 as its range is y = -|x| + 5
Given that,
To draw a sketch of a graph of a function that has a set of integers as its domain and all integers less than 5 as its range.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
In order to draw the graph of a function that has a set of integers as its domain and all integers less than 5 as its range.
We add
y = -|x|
For the domain to be all integers
Now, adding 5
Y = -|x| + 5
Thus, the required function that has a set of integers as its domain and all integers less than 5 as its range is y = -|x| + 5.
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Find the sum, difference, product, or quotient
1.29 + 35
2.90 - 34
Estimate the sum, difference, product, or quotient.
5.284 - 48
6. 147 X 5
7. 1004 +678
Find the value of the power.
9. 102
10. 73
quo tient.
3. 32 X 18
Evaluate the expression.
13. 9 + 7 X 4
16. Phone Card Your phone card h
14. 27 ÷ 3² + 5
11. 26
4. 124 ÷ 8
8. 163 4
12. 105
15. 3 x (327)
Answer:
................................
write the equation of the perpendicular bisector of the line segment containing the points (2,-1) and (-4,3)
Answer: y = 3x/2 + 5/2
Step-by-step explanation:
Write the slope formula m = y2 - y1
x2 - X1
Substiue { x1 = 2
{ x2 = -4 Into m =3 - (-1)
{ y1 = -1 -4 - 2
{ y2 = - 3
Calculate and you get m = -2/3
Slope of the line that is perpendicular to m = -2/3 is m = 3/2
Substitute it: ( 2 - 4 -1 + 3 )
2 2
Calculate it 2 - 4
2
Simplify -2/2 and you get -1
Calculate -1 + 3
2
Simplify it 2/2 and you get 1
Rewrite solutions as coordinates: (-1 , 1)
Substitute { m = 3/2
{ x = -1
{y = 1
y = mx + b
Calculate 1 = 3/2 x (-1)= b and you get b = 5/2
Lastly Substitute { m = 3/2 into y = mx + b
{ b = 5/2
Answer: y +3x/2 + 5/2
The ratio of 12.9 is equal to the ratio of 1/3 to
A. 1/4
B. 1
C. 5/4
D. 2
E. 4
The ratio of 12:9 is equal to the ratio of 1/3 to 1/4.
As given in the question,
Given ratio is equal to 12:9
Simplify the given ratio by factorizing it :
12 : 9 = 12 / 9
⇒12 : 9 = ( 4 × 3 ) / ( 3 × 3)
⇒ 12 : 9 = 4 / 3
⇒ 12 : 9 = 1 / 3 × 4 / 1
⇒ 12 : 9 = 1 /3 to 1/ 4
Therefore, the ratio of 12 : 9 is equal to the ratio of 1/3 to 1/4.
The complete question is:
The ratio of 12:9 is equal to the ratio of 1/3 to
A. 1/4
B. 1
C. 5/4
D. 2
E. 4
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A- x = 4, PQ = 8, QR = 13
B- x = 5, PQ = 10, QR = 11
C- x = 4, PQ = 12, QR = 9
D- x = 4, PQ = 10, QR = 11
State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.
Combining a coin toss and a roll of a die makes a simple event.
False , Combining a coin toss and a roll of a die makes a simple event.
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.False , Combining a coin toss and a roll of a die makes a simple event.
A true statement is "For data at the interval level, you CAN calculate meaningful differences between data entries."
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Solve for x: 2/3 + 1/3=2x
Answer:
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{3}[/tex] = 2x ( combine fractions on left side )
1 = 2x ( divide both sides by 2 )
[tex]\frac{1}{2}[/tex] = x
Answer to part c please
Answer:
X=least=30
Y=greatest=40
find the value of x if RS bisects AB and RS = 36
Answer:
18 + 2y + 6 = 36
2y = 12
y = 6
step explanation:
Since RS bisects AB,
25 - 3x = 2y + 5
25 - 3x = 2(6) + 5 = 12 + 5 = 17
3x = 25 - 17 = 8
x = 8/3
what is the standard form or (4 x 1,000) + (7x 10) +(6x1) + ( 8 x 0.001)?
very urgent please
The given expression written in standard form is 4.076008 × 10³
Writing an expression in standard formFrom the question, we are to simplify the given expression in standard form
The given expression is
(4 × 1000) + (7 × 10) + (6 × 1) + (8 × 0.001)
Simplifying
(4 × 1000) + (7 × 10) + (6 × 1) + (8 × 0.001)
(4000) + (70) + (6) + (0.008)
= 4000 + 70 + 6 + 0.008
= 4076.008
In standard form, we get
4.076008 × 10³
Hence, the given expression written in standard form is 4.076008 × 10³
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Determine whether each sequence is arithmetic or geometric. Then identify the common difference or common ratio. 3/32, 3/16, 3/8, 3/4, 3/2, 3,6, . . . .
The sequence 3/32, 3/16, 3/8, 3/4, 3/2, 3,6, ... is a geometric sequence with common ratio 2.
To determine whether the sequence is an arithmetic or geometric one, we need to check how the consecutive terms relate to each other.
If it is an arithmetic sequence, then:
a(n) = a(n-1) + d
where d is the common difference.
If it is a geometric sequence, then:
a(n) = a(n-1) . r
where r is the common ratio.
The given sequence is:
3/32, 3/16, 3/8, 3/4, 3/2, 3,6, . . . .
Notice that
a(2) : a(1) = 3/16 : 3/32 = 2
a(3) : a(2) = 3/8 : 3/16 = 2
and so on
Since the ratio of consecutive terms are constant, then the given sequence is a geometric sequence. Furthermore, its ratio, r = 2
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State whether sentence is true or false. If false, replace the underlined word or phrase to make a true sentence.
The sum of two vectors is the ₋resultant .
Given statement 'The sum of two vectors is the resultant.' is True.
We know that in mathematics, a vector is a quantity that has both magnitude and direction but no position.
Examples : velocity, force and acceleration.
Also, the resultant vector is the vector sum of two or more vectors. We find the resultant vectors by adding two or more vectors together. Any two vectors can be added if and only if they are the same vector quantity.
For vector P = [tex]a\vec i+b\vec j[/tex] and vector Q = [tex]m\vec i+n\vec j[/tex]
The resultant vector R would be,
R = P + Q
R = [tex](a+m)\vec i+(b+n)\vec j[/tex]
Therefore, given statement 'The sum of two vectors is the resultant.' is True.
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