Using linear functions, it is found that:
Shop B charges less per hour.The total costs are the same when a pair of skis is rented for 3 hours.What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For Shop A, we have that the slope is of 3, as the cost increases by $3 an hour, hence:
yA(x) = 3x + b.
When x = 1, y = 8, hence we find the intercept b as follows:
8 = 3 + b
b = 5.
Hence:
yA(x) = 3x + 5.
For Shop B, the rule is given as follows:
yB(x) = 2x + 8.
Due to the lower slope, we have that:
Shop B charges less per hour.
The costs will be the same when:
yA(x) = yB(x).
Hence:
3x + 5 = 2x + 8
x = 3.
The total costs are the same when a pair of skis is rented for 3 hours.
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Please I need help on Geometry
The correct choices for midpoints and bisector angles are listed below:
DDBABCBAHow to determine the locations and measures of bisectorsIn this question we find four cases of determination of midpoints, that is, the point in a line segment such that the line segment is divided in two segments of equal length, and four cases of angle bisectors, that is, two angles of equal measure generated by a semirray.
First, we determine the location of the midpoints:
1) M(x, y) = 0.5 · (- 8, 9) + 0.5 · (- 9, 0)
M(x, y) = (- 8.5, 4.5)
M(x, y) = (- 8 1 / 2, 4 1 / 2)
2) M(x, y) = 0.5 · (1, 10) + 0.5 · (5, 5)
M(x, y) = (3, 7.5)
M(x, y) = (3, 7 1 / 2)
3) M(x, y) = 0.5 · (3, - 1) + 0.5 · (5, 3)
M(x, y) = (4, 1)
4) M(x, y) = 0.5 · (1, - 2) + 0.5 · (4, 5)
M(x, y) = (2.5, 1.5)
M(x, y) = (2 1 / 2, 1 1 / 2)
Bisector angles
5) The measure of the angle is 28°.
6) The measure of the angle is 38°.
7) The measure of the variable behind the angle is:
m ∠1 = m ∠2
2 · x + 3 = x + 11
x = 8
8) The measure of the variable behind the angle is:
m ∠ XVW = 2 · m ∠ 1
13 · x - 6 = 2 · (5 · x + 9)
13 · x - 6 = 10 · x + 18
3 · x = 24
x = 8
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Genes a and b are 10 mu apart. a man has an ab/ab genotype. his father was ab/ab. he marries a woman who is ab/ab. what is the likelihood they will have an ab/ab child?
The probability that they will have an ab/ab child is 5%
Probability is how likely an event is to happen. It is measured by the ratio of the number of good cases to the total number of cases that could happen.
ab/ab (female) x ab/ab (male)
Possible alleles: [Find the alleles of the parents first, because the rest can be mixed]
AB (parental)
ab (parental)
Ab (recombinant)
aB (recombinant)
The m.u. tells us that recombinant alleles happen 10% of the time. If a child is (Ab/ab), then (ab) would come from the father, and (Ab) would come from the mother.
Given the mother has allele ab/ab looking at probabilities there is 50%chance that the child will inherit the allele and a 10% chance for the recombination to happen.
P(ab/ab)= (50%) (10%) = 5%
hence the answer is 5%
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Jacob has 298 baseball cards. About how many
baseball cards does Jacob have? Round to the
nearest 100.
Answer:
300
Step-by-step explanation:
5 or more raise the score 4 or less let it rest basically 5 or more up 4 or less down
Vector u has a magnitude of 10inches with a direction angle of 45 degrees. vector v has a magnitude of 10 inches and a direction angle of 225 degrees. what are the magnitude and the direction angle for the resultant vector?
The magnitude of the vector is 10√2 and the direction of the vector is 78.69°
Magnitude and the direction of the vectors:
A vector is a directed line segment with an initial point and a terminal point.
To calculate the magnitude of the vector using the Pythagorean Theorem or the distance formula, and to find its direction using the inverse tangent function.
The formula for the magnitude of the vector is
|v|=√(a²+b²)
And the formula for the direction of the vector is,
θ=tan⁻¹(b/a)
where
(a, b) represents the given point.
Given,
Vector u,
Magnitude = 10 in
Direction angle = 45°
Vector v,
Magnitude = 10 in
Direction angle = 225°
Now we have to find the magnitude by apply the value on it,
=> |v|=√(10² + 10²)
=> |v|=√(100 + 100)
=> |v|=√200
=> |v|=√2 x 100
=> |v|=10√2
Similarly, the direction of the vector is,
=> θ = tan⁻¹ (225 / 45)
=> θ = tan⁻¹ (5)
=> θ = 78.69°
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Help me figure out this piecewise question!! 60 points!
Check the picture below.
how many terms are in 7w +2g+3 + 8w
Answer: 4! Terms are numbers with letters, letters, or simple numbers in an equation! Hope this helps!
Answer:
4
Step-by-step explanation:
The numbers count as terms, but anything else doesn't
Three more than twice a number is less than negative thirteen. Solve the inequality for the unknown number.
Answer:
Step-by-step explanation:
The number = x
Three more than the number = x + 3
twice the number = 2x
which means:
2x + 3 < -13
2x + 3 -3 < -13 -3 (subtract 3 from both sides)
2x < -16
2x/2 < -16/2 (divide 2 from both sides)
x < -8
The perimeter of the quadrilateral below is 119 units. Find the length of side AB.
Answer:
Step-by-step explanation:
What are mathematical formulas placed in software that performs an analysis on a data set?
Algorithms are mathematical formulas placed in software that performs an analysis on a data set.
What are algorithms?Algorithms are mathematical formulas that are used in software to analyze data sets. An algorithm is a finite sequence of rigorous instructions used to solve a class of specific problems or to perform a computation in mathematics and computer science. Algorithms serve as specifications for calculating and processing data. More sophisticated algorithms can perform automated deductions (also known as automated reasoning) and use mathematical and logical tests to route code execution through different paths (referred to as automated decision-making). Alan Turing pioneered the use of human characteristics as metaphorical descriptors of machines with terms like "memory," "search," and "stimulus."Therefore, algorithms are mathematical formulas placed in software that performs an analysis of a data set.
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9 times the sum of 9b and 2
Answer:
9(9b+2)
Step-by-step explanation:
The words 'the sum of mean parenthesis.
And so 9 would be outside the parenthesis, then 9b and 2 would be inside.
tyler wants to buy a new game system that costs $240 tyler has already saved $32 but he needs to make a plan so he can save the rest of the money he needs he decided to save the same amount of money x dollars each month for the next four months, write an equation that helps tyler determine the amount of money he must save each month, solve the equation to find the amount of money he must save each month to meet his goal of buying a new game system
Answer: He must save $52 per month
Step-by-step explanation: 240-32= 208/4= 52
The temperature in Gainesville is 9°C colder than the temperature in Elmwood. What is the temperature in Gainesville?
The temperature in Gainesville is 11°C.
How to calculate the value?From the information given, the temperature in Elmwood is 20° and the temperature in Gainesville is 9°C colder than the temperature in Elmwood.
Therefore, the temperature in Gainesville will be:
= 20 - 9
= 11°C
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The temperature in Elmwood is 20°C. The temperature in Gainesville is 9°C colder than the temperature in Elmwood
Pls help me
44.00 divided by 2.20
with problem work pLSS Help me !!
The solution to a system of equations is (2,-4).one equation in the system is 2x+y=0.explain how you can find a second equation for the system.then find a second equation.solve by system of equations to justify your answer
The second equation is 3x + y = 2.
Let the other equation be of the form ax + by = c, where a, b and c are constants.
Given equation is 2x + y = 0
We have, a₁ = 2 and a₂ = 1
And b₁ = a and b₂ = b
Since, both equations have a unique solution,
∴ a₁ ÷ b₁ ≠ a₂ ÷ b₂
2 ÷ a ≠ 1 ÷ b
2b ≠ a … (1)
Also, (2, -4) is the solution of the equations, so it will satisfy the equations
2a - 4b = c
b = (2a - c)/4
Let c=2
b = (2a - 2) ÷ 4
b = 1
Now we can take any value for a and b which satisfy eq.(1)
Let a=3
b = (2(3) - 2) ÷ 4
b = 1
Thus, a = 3 and b=1 satisfy eq.(1)
Hence the second equation is 3x + y = 2
The equations are justified by keeping the values -
2x+y=0 ... (2)
3x+y=2 ... (3)
From eq.(2),
y=-2x
Putting value of y in eq. (3), we get,
3x+(-2x)=2
3x-2x=2
x=2
Now, putting x=2 in eq.(2)
2(2)+y=0
y=-4
Hence, the solution is justified.
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Find the sum of (8.6 x 106) and (3.7 x 105). Write the final answer in scientific notation.
8.97 x 105
8.97 x 106
1.23 x 1010
12.3 x 1011
Answer:
8.97 x [tex]10^{6}[/tex]
Step-by-step explanation:
To add in scientific notation, the exponents need to be the same for the bases of 10. You can either make them both to the exponent of 6 or 5. It does not matter. I made them both to the power of 5
(8.6 x [tex]10^{6}[/tex]) + (3.7 x [tex]10^{5}[/tex])
(86 x [tex]10^{5}[/tex]) + (3.7x[tex]10^{5}[/tex])
(86 x 3.7) x [tex]10^{5}[/tex]
89.7 x[tex]10^{5}[/tex] Rewrite in scientific notation
8.97 x [tex]10^{6}[/tex]
Which of the following numbers is the least LOOK AT NUMBER TWO ANSWERS
Answer:
A is least
Step-by-step explanation:
A= 560
B= 630
C= 568
D= 639
If you do 7 x 10 which equals 70 then do 70 by the power of 8 which is multiplying 70 8 times, you get 560 which is the least equation/answer out of all of them.
Answer:
A is the answer
Step-by-step explanation:
Since a and c are to the power of 8 while b and d are to the power of nine, it's between a and c
A.10*8=100000000×7= 700000000
C.10*8=100000000×7.1=710000000
Givien f (x) = -3x-1, solve for x when f(x) =-10
Answer:
x = 3
Step-by-step explanation:
Since both have f(x), the substitution method can be used.
1. f(x) = -3x - 1
2. f(x) = -10
Therefore,
-3x - 1 = -10
Flip to positive to calculate more easily since all are negative (although, this is optional.)
3x + 1 = 10
3x + 1 - 1 = 10 - 1 (to make one side x and other side number)
3x = 9
x = 3
Hope this helped! ^^
PLEASEEEEKKEJES HELPPPPPPPPO :)))
Answer:You have it right I think
2.46*10^6
Step-by-step explanation:
Because you move the decimal point over 6 spots which gives you the 10 to the sixth.
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. ages of children: 5, 6, 7, 8, and 9
There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.
In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.
A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.
So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.
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Select the correct answer.
Simplify the following expression.
4 -11/3 divided by 4 -2/3
A 12
B. 1/64
C. 64
D. 12
The correct value of the expression is 4/5.
How to calculate the fraction?The question is about simplifying 4 -11/3 divided by 4 -2/3.
It should be noted that 4 - 1 1/3 = 2 2/3
Also, 4 - 2/3 = 3 1/3
We will divide
2 2/3 ÷ 3 1/3
= 8/3 ÷ 10/3
= 8/3 × 3/10
= 4/5
Note that the correct option wasn't given.
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Answer: The correct value of the expression is 4/5.
How to calculate the fraction?
The question is about simplifying 4 -11/3 divided by 4 -2/3.
It should be noted that 4 - 1 1/3 = 2 2/3
Also, 4 - 2/3 = 3 1/3
We will divide
2 2/3 ÷ 3 1/3
= 8/3 ÷ 10/3
= 8/3 × 3/10
= 4/5
Note that the correct option wasn't given.
Step-by-step explanation:
Graph the inequality x<3.
To graph an inequality, select the correct type of ray and then select the correct endpoint on the number line.
Answer:
You would start at 3 and then go backwords till the end.
So you'd choose the 3 option. <-o
Only use the filled in o if the equation is <_ with the line underneath, if its like < then its o
Hope this helps! <3
What is the slope of the line?
1/2
-1/2
-2
2
Answer:
1/2
Step-by-step explanation:
The ratio of boys to girls in the entire 7th grade is 7 to 8. Given this ratio, which two class compositions are possible?
A. 40 boys; 35 girls
B. 48 boys; 42 girls
C. 56 boys; 64 girls
D. 67 boys; 68 girls
E. 84 boys; 96 girls
Answer: c and e are correct answer.
Step-by-step explanation:
9(y^2+x)=18 in standard form
Answer:
9y^2 + 9x - 18 or 9(y^2 + x - 2)
Step-by-step explanation:
9(y^2+x)=18
9y^2 + 9x=18
9y^2 + 9x - 18 = 0
9(y^2 + x - 2) = 0
The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.
Answer:
w = [tex]\frac{p -2l}{2}[/tex]
Step-by-step explanation:
p = 2l + 2w Subtract 2l from both sides of the equation
p - 2l = 2p Divide both sides by 2
[tex]\frac{p -2l}{2}[/tex] = w
George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 and one-third cm. Which statement explains which phone has the wider screen?
Answer:
Step-by-step explanation:
Screen B is wider
Write the distributive property of multiplication over addition a a conditional statement
The distributive property of multiplication over addition is A (B + C) = AB + AC.
Properties of Numbers.
Numbers are have 5 main properties of operation which are:
Closure PropertyAssociative PropertyCommutative PropertyDistributive PropertyIdentity PropertyGiven,
Here we have to write the distributive property of multiplication over addition of a conditional statement.
Basically, the distributive property defines the distributing ability of operation over another mathematical operation within a bracket.
It can be either distributive property of multiplication over addition or distributive property of multiplication over subtraction.
Here we need to write the distributive property of multiplication over addition of a conditional statement.
So, The distributive property of multiplication over addition is expressed as
=> A × (B + C) = AB + AC.
Let us verify this property with the help of an example.
For example:
The expression 2(1 + 4) using the distributive law of multiplication over addition.
=> 2(1 + 4) = (2 × 1) + (2 × 4)
⇒ 2 + 8 = 10
Hence, the distributive property of multiplication over addition is stated.
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Find point G on AB such that the ratio of AG to GB is 3:2.
Using proportions, the coordinates of point G are given as follows:
(1.8, 1.6).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The points A and B are given as follows:
A(-3, 4) and B(5,0).
For this problem, we have that the ratio of AG to GB is 3:2, hence:
AG = 3/5AB
G - A = 3/5(B - A).
The x-coordinate of G is found as follows:
x + 3 = 3/5(5 + 3)
x + 3 = 4.8
x = 1.8.
The y-coordinate of G is found as follows:
y - 4 = 3/5(0 - 4)
y - 4 = -2.4
y = 1.6.
Hence the coordinates of point G are given as follows:
(1.8, 1.6).
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Suppose that a system of seven equations with thirteen unknowns corresponds to a matrix in row echelon form. what is the largest possible number of pivots for this matrix?
For a system of seven equations with thirteen unknowns corresponds to a matrix in row echelon form. The largest possible number of pivots for this matrix is 7.
What is row echelon form and pivots?Using a technique known as Gaussian elimination, any matrix can be converted to reduced row echelon form. This is especially useful for solving linear equation systems.
If a matrix has the following properties, it is in Row Echelon form:
The bottom of the matrix contains any row that is entirely made up of zeros.The first non-zero entry in each row which does not encompass entirely zeros is 1. (called a leading 1).The leading 1 in the higher row is even further left than the leading 1 in the lower row for two consecutive (non-zero) rows.Pivoting is the process of transferring the first matrix to the second matrix utilizing row operations similar to equations.
The matrix "A" has three columns. As a result, there can only be three pivots, implying that at least one row of "A" in echelon type must be zero.
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Solve the equation 4e - 5 + 2e = e + 3 - 2e
for e.
Answer:e=8/7=1.143
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*e-5+2*e-(e+3-2*e)=0
Add 8 to both sides of the equation :
7e = 8
Divide both sides of the equation by 7:
e = 8/7 = 1.143
And then you get
Divide both sides of the equation by 7:
e = 8/7 = 1.143
Answer:
4*e-5+2*e-(e+3-2*e)=0
Add 8 to both sides of the equation :
7e = 8
Divide both sides of the equation by 7:
e = 8/7 = 1.143
And then you get
Divide both sides of the equation by 7:
e = 8/7 = 1.143
Step-by-step explanation: