The isolation of variable in the equation will result in the formula - Breadth = (Perimeter - 2length)/2.
As per the known information, the formula of the perimeter of rectangle is -
Perimeter = 2 (length + breadth)
Expanding the formula we get -
Perimeter = 2length + 2breadth
Rewriting in terms of breadth -
2Breadth = Perimeter - 2length
Breadth = (Perimeter - 2length)/2
The process to isolate the variable will require expanding and rewriting the equation with breadth on Left Hand Side of the equation. Now, move the constant on Right Hand Side and you will get the formula.
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How much is 40 minutes in decimal?
40 minutes in decimal is 0.666.
How do you convert minutes to decimals?The conversion is not complicated, there is a simple formula for it:Number of minutes/60 => Conversion from hours and minutes to decimal.Decimal time * 60 => Conversion from decimal to hours and minutes.Convert minutes to decimal hours to calculate time sheets and payroll hours worked. Includes rounding to 2, 3, 4 or more decimal places.If your number of minutes is less than 60 divide by 60. The decimal is minutes in decimal hours.If your number of minutes is greater than or equal to 60, divide by 60 and carry the whole number to hours. The remaining decimal is minutes in decimal hours.Round the decimal to your level of accuracy.To learn more about convert minutes to decimals refers to:
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A local parking garage charges $6.00 for up to and including 1 hour of parking. Each additional hour, or any part thereof, costs $2.40.
Write a function, c(t), to model the cost of parking a car as a function of the time, t, that the car is parked in the garage.
The function of parking in the garage is C(t) = 6 + 2.4t
How to determine the function of parking in the garageFrom the question, we have the following parameters that can be used in our computation:
Rate each hour = 2.40
Initial rate = 6.00
The function is then represented as
C(t) = Initial rate + Rate each hour * number of hours
So, we have:
C(t) = 6 + 2.4t
Hence, the function is C(t) = 6 + 2.4t
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which conic section is formed in the image shown? two cones that touch at their vertices and a plane cutting through the left cone parallel to its base to form a curve circle parabola ellipse hyperbola
Hyperbola is formed when two cones that touch at their vertices and a plane cutting through the left cone parallel to its base to form a curve
What is Conic Section?A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane.
We have to find the conic section which is formed by two cones that touch at their vertices and a plane cutting through the left cone parallel to its base to form a curve circle parabola ellipse hyperbola.
A hyperbola is formed when the interesting plane is parallel to the axis of the cone, and intersect with both the nappes of the double cone.
Hence, Hyperbola is formed when two cones that touch at their vertices and a plane cutting through the left cone parallel to its base to form a curve
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Answer:
ellipse.
Step by-step explanation:
in chemistry class, a student has earned scores of 64, 69, and 73 on three tests. they must maintain an average of 70 to pass the course. what score must the student earn on the final exam to pass the course?
The student must earn a 74 on the final exam to pass the course with an average of 70.
The student's current average score is (64 + 69 + 73) / 3 = 66.
To find the score the student needs to earn on the final exam to maintain an average of 70, we can set up an equation:
(64 + 69 + 73 + x) / 4 = 70
Where x is the score the student needs to earn on the final exam.
Solving for x:
(64 + 69 + 73 + x) = 280
x = 280 - 64 - 69 - 73 = 74
So, the student must earn a 74 on the final exam to pass the course with an average of 70.
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How to Convert 14 cm to Inches
When 14 cm is converted into inches it will be 5.51181 inches.
How to convert cm to inches?The correlation between an inch and a centimetre is that one inch equals 2.54 centimetres in the metric system. As a result, to convert from centimeters to inches, multiply the value by 2.54.The centimeter (cm) to inch (in) conversion factor is 1 cm = 0.393701 in. Simply multiply the length in cm by 0.393701 to convert to inches.Here given the value is 14cm.
To convert to inches it is equal to,
14 x 0.393701
= 5.51181 inches.
An object's length is measured in centimeters, which are metric units of measurement. cm is the abbreviation. A metre is made up of 100 centimetres. Ten millimeters equal one centimeter.To learn more about unit conversion refer to :
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Together Pam, Dan, and Sam have $31.00. How many dollars does Sam have if Dan has $3.00 less than Pam, and Sam has $1.00 more than Pam and Dan combined?
Answer:
Let x be the amount Pam has, then Dan has x - $3.00 and Sam has x + x - $3.00 + $1.00 = 2x + $1.00
The total amount of money they have is x + x - $3.00 + 2x + $1.00 = 31.00
So, 4x + $1.00 = 31.00
Subtracting $1.00 from both sides gives 4x = 30.00
Finally, dividing both sides by 4 gives x = $7.50
So Pam has $7.50, Dan has $7.50 - $3.00 = $4.50, and Sam has $7.50 + $4.50 + $1.00 = $13.00.
 write a function to describe the following scenario. A taxi driver charges a flat rate of 7.25+0.65 per mile. y=(?)+(?)x
The function that describes the scenario is y = 7.25 + 0.65x
How to determine the linear functionFrom the question, we have the following parameters that can be used in our computation:
Initial = 7.25
Rate = 0.65
Represent the number of miles with x
So, we have the following representation
y = 7.25 + 0.65x
Where the total cost is y
Hence, the function is represented above
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describe all solutions of ax0 in parametric vector form, where a is row equivalent to the given matrix. |1 -2 -8 3 | |0 1 2 -4| x=x3__+x4__ (Type an integer or fraction for each matrix element.)
The solutions of Ax=0 in parametric vector form:
[tex]x_2\left[\begin{array}{c}-3&1&0&0\\\\\end{array}\right] +x_3\left[\begin{array}{c}0&0&1&0\\\\\end{array}\right] +x_4\left[\begin{array}{c}4&0&0&1\\\\\end{array}\right][/tex]
we have a matrix where A is the row equivalent to that matrix:
[tex]\left[\begin{array}{cccc}1&3&0&-4\\2&6&0&-8\\\end{array}\right][/tex]
The given matrix can be written in an Augmented form as:
[tex]\left[\begin{array}{ccccc}1&3&0&-4&0\\2&6&0&-8&0\\\end{array}\right][/tex]
Row Reduced Echelon Form can be obtained using the following steps.
Interchanging the rows R₁ and R₂
.[tex]\left[\begin{array}{ccccc}2&6&0&-8&0\\1&3&0&-4&0\\\end{array}\right][/tex]
Applying the operation R₂-->2R₂-R₁, to make the second.
[tex]\left[\begin{array}{ccccc}2&6&0&-8&0\\1&3&0&-4&0\\\end{array}\right][/tex] R₂-->2R₂-R₁,
[tex]\left[\begin{array}{ccccc}2&6&0&-8&0\\0&0&0&0&0\\\end{array}\right][/tex]
Dividing the first row by 2 to generate 1 at the
[tex]\left[\begin{array}{ccccc}2&6&0&-8&0\\0&0&0&0&0\\\end{array}\right][/tex] R₁--->1/2R₁
[tex]\left[\begin{array}{ccccc}1&3&0&-4&0\\0&0&0&0&0\\\end{array}\right][/tex]
From here the following equation can be deducted:
x₁+3x₂-4x₄=0
Making the subject of the equation:
x₁=-3x₂+4x₄
Hence, the Ax=0 parametric vector form’s solutions can be written as:
[tex]X=\left[\begin{array}{c}-3x_2+4x_4&x_2&x_3&x_4\\\\\end{array}\right] \\\\\\=\left[\begin{array}{c}-3x_1&x_2&0&0\\\\\end{array}\right] +\left[\begin{array}{c}0&0&x_3&0\\\\\end{array}\right] +\left[\begin{array}{c}4x_4&0&0&x_4\\\\\end{array}\right] \\\\\\ =x_2\left[\begin{array}{c}-3&1&0&0\\\\\end{array}\right] +x_3\left[\begin{array}{c}0&0&1&0\\\\\end{array}\right] +x_4\left[\begin{array}{c}4&0&0&1\\\\\end{array}\right][/tex]
Numerical Result:
[tex]x_2\left[\begin{array}{c}-3&1&0&0\\\\\end{array}\right] +x_3\left[\begin{array}{c}0&0&1&0\\\\\end{array}\right] +x_4\left[\begin{array}{c}4&0&0&1\\\\\end{array}\right][/tex]
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Find an equation of the line passing through the points.
(-3,17) and (2. - 3)
Answer: y = -4x + 29
Step-by-step explanation:
To find the equation of the line passing through the points (-3, 17) and (2, -3), we can use the slope-point form of a line, which is given by:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line, m is the slope of the line, and (x, y) are the coordinates of any other point on the line. To find the slope of the line, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates of the two points, we have:
m = (-3 - 17) / (2 - (-3)) = -20 / 5 = -4
Next, we plug in the coordinates of one of the points and the slope into the slope-point form of a line:
y - 17 = -4(x - (-3))
Expanding the right side:
y - 17 = -4x + 12
Adding 17 to both sides:
y = -4x + 29
So the equation of the line passing through the points (-3, 17) and (2, -3) is: y = -4x + 29
The velocity of water, v (m/s), discharged from a cylindrical tank through a long pipe can be computed as:
v= √2gH tanh (√2gH/2L. T)
where g = 9. 81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s). Develop a MATLAB script that
a. Plots the function f(H) versus H for H = 0 to 4 m (make sure to label the plot) and
b. Uses LastNameBisect with initial guesses of xl = 0 and xu = 4 m to determine the initial head needed to achieve υ = 5 m/s in 2. 5 s for a 4-m long pipe.
The equation with the given values for pipe length and elapsed time to calculate the initial head needed to achieve the desired velocity.
The velocity of water, v (m/s), discharged from a cylindrical tank through a long pipe can be computed using the equation:
v= √2gH tanh (√2gH/2L. T)
where g = 9. 81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s).
To plot the velocity function f(H) versus H for H = 0 to 4 m, we can use MATLAB to create a script that uses the equation to calculate the velocity for each value of H. We can then plot the points on a graph, with H on the x-axis and v on the y-axis.
To determine the initial head needed to achieve υ = 5 m/s in 2. 5 s for a 4-m long pipe, we can use the LastNameBisect method with initial guesses of xl = 0 and xu = 4 m. This will use the equation with the given values for pipe length and elapsed time to calculate the initial head needed to achieve the desired velocity.
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Please look at photo
The pointer shown to the right can land on every number, and
the respective probability that the pointer can land on is
shown in the table below. Compute the expected value for the
number on which the pointer lands.
The expected value for the number on which the pointer lands
Question Viewer
(Type an integer or a decimal.)
CHI
N
Outcome Probability
a
The expected value for the number on which the pointer lands is 21/8.
What is probability?Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes.
Given the pointer shown to the right can land on every number, and
the respective probability that the pointer can land is
shown in the table below,
table for probability,
outcome probability
1 1/4
2 1/4
3 1/8
4 3/8
expected value is given by,
E(x) = ∑ [tex]x_i.p(x_i)[/tex]
= 1(1/4) + 2(1/4) + 3(1/8) + 4(3/8)
= 1/4 + 1/2 + 3/8 + 3/2
= (2 + 4 + 3 + 12)/8
= 21/8 = 2.625
Hence expected value is 21/8 or 2.625.
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-15/4(2x-2/3)<64+11/4x help
Answer:
[-23.27 < x]
Step-by-step explanation:
Distribute -15/4 to the numbers in the parenthesis:
[tex]\frac{-15}{4}*2x[/tex] = [tex]-\frac{30}{4}[/tex]
[tex]\frac{-15}{4}*-\frac{2}{3}[/tex] = [tex]\frac{5}{2}[/tex]
[tex]-\frac{30}{4} + \frac{5}{2} < 64 + \frac{11}{4}x[/tex]
Combine like terms:
[tex]-5 < 64 + \frac{11}{4}x[/tex]
Subtract 64 from both sides:
[tex]-64 < \frac{11}{4}x[/tex]
Multiply both sides by 4:
[tex]-256 < 11x[/tex]
Divide both sides by 11:
[tex][-23.27 < x][/tex]
If a 120-pound lion need 50 gram of protein a day and a 4-ounce chicken provide 30 gram of protein, how much chicken meat i needed to provide the required 50 gram of protein?
The amount of chicken meat required by the lion to meet his protein diet is 6.66 ounces.
A 120-pound lion need 50 gram of protein a day.
The protein provided by the 4-ounce chicken is 30 grams.
By using unitary method,
We can write,
4 ounce chicken = 30 grams protein
4/30 ounce chicken = 1 grams protein
Now, the required amount of protein is 50 grams.
So, the chicken meat needed is,
50 grams = 4/30 x 50 ounces
50 grams protein = 6.66 ounces.
So, a total of 6.66 ounces of chicken meat is required.
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whats √200 at its simplest form
Answer:
The square root of 200 in its simplest radical form is 10√2.
Step-by-step explanation:
If we know the prime factorization of a number, we can write the radical form of the square root of that number.
Answer: 10√2.
Step-by-step explanation: the prime factorization of 200 is 2 × 2 × 2 × 5 × 5. As a result, the square root of 200 in the simplest radical form should be 10√2.
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The function f(x) = x + 6 represents the length of a rectangle, and the function g(x) = 9x − 4 represents the width of the rectangle. What is the area of the rectangle if x = 2?
168
112
22
−144
Answer:
A = 112
Step-by-step explanation:
Area of rectangle = LW
x = 2
L = x + 6 = 2 + 6 = 8
W = 9x − 4 = 9(2) − 4 = 18 - 4 = 14
A = LW = 8(14) = 112
Answer: A = 112
Your welcome for the help
Steve is driving 280 miles to visit the Grand Canyon he drives at an average rate of 56 mph find the amount of time it will take Steve to get to the Grand Canyon it will take Steve Blank hours to get to the Grand Canyon
Answer:
5 hours.
Step-by-step explanation:
280 divided by 56 is 5.
A college finds that 10% of students have taken a distance learning class and that 40% of students are part-time students. Of the part-time students, 20% have taken a distance learning class. Let D = event that a student takes a distance learning class and E = event that a student is a part-time student.
a. Find P(D AND E)
b. Find P(E | D)
c. Find P(D OR E)
The value of P(D OR E) = 0.1 + 0.4 - 0.02 = 0.48, P(D AND E) = 0.1 * 0.2 = 0.02,P(E | D) = 0.02 / 0.1 = 0.2
a. P(D AND E) = P(D) * P(E | D)
P(D) = 0.1 (10% of students have taken a distance learning class)
P(E | D) = 0.2 (20% of part-time students have taken a distance learning class)
Therefore, P(D AND E) = 0.1 * 0.2 = 0.02
b. P(E | D) = P(D AND E) / P(D)
P(E | D) = 0.02 / 0.1 = 0.2
c. P(D OR E) = P(D) + P(E) - P(D AND E)
P(D) = 0.1 (10% of students have taken a distance learning class)
P(E) = 0.4 (40% of students are part-time students)
P(D AND E) = 0.02 (10% of students have taken a distance learning class and that 40% of students are part-time students)
Therefore, P(D OR E) = 0.1 + 0.4 - 0.02 = 0.48
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Please help !!!
x 0,5,10
g(x) 325,400,475
Part A: Find and interpret the slope of the function. (3 points)
Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)
Part C: Write the equation of the line using function notation. (2 points)
Part D: What is the balance in the bank account after 12 days? (2 points)
By applying the linear equation concept, it can be concluded that:
A. The slope of the line is 15
B. The standard form of the equation is 15x - y + 325 = 0
C. The function notation of the equation is g(x) = 15x + 325
D. The balance in the bank account after 12 days is $505
Linear equation is an equation that contains one or more variables, where each variable has the power of one.
The standard form of a linear equation is y - y₁ = m(x - x₁) or ax + by + c = 0, where m is the slope of the function.
Slope of the function represents the change in y (Δy) over the change in x (Δx). m = Δy / Δx
We have the following table:
x 0 5 10
g(x) 325 400 475
A. To find the slope of the line, we calculate the value of Δy dan Δx:
Δy = y₂ - y₁
= 400 - 325
= 75
Δx = x₂ - x₁
= 5 - 0
= 5
m = Δy / Δx
= 75 / 5
= 15
B. To find its standard form, we can input the value of one point into y - y₁ = m(x - x₁):
y - y₁ = m(x - x₁)
y - 325 = 15 (x - 0)
y - 325 = 15x - 0
15x - y + 325 = 0
C. function notation changes the y to g(x), so we get:
15x - y + 325 = 0
15x - g(x) + 325 = 0
g(x) = 15x + 325
D. The balance in the bank account after 12 days can be calculated by substituting the value of x = 12 into the function:
g(x) = 15x + 325
= 15 · 12 + 325
= 180 + 325
= $505
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Round off 8 146,628 to the 2 decimal place
When multiplying decimal numbers, you move the decimal point to the left of the amount of integers in the equation that are to the right of the decimals.25.5 x 0.81 = 20.655
Find the decimal place ?When multiplying decimal numbers, you move the decimal point to the left of the amount of integers in the equation that are to the right of the decimals.
After multiplication, you would move the decimal three places to the left because there is one number after the decimal point in 25.5 and two numbers after the decimal point in 0.81.
25.5 x 0.81 = 20.655
( notice there are 3 numbers to the right of the decimal point) ( note there are 3 numbers to the right of the decimal point)
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find the area bounded by the graphs of the indicated equations over the given interval. y; y0;
The area bounded by the graphs of y and y0 over the given interval is A = ∫y0 dy|2-∫y0 dy|0.
The area bounded by the graphs of the indicated equations y and y0 over the given interval can be calculated using the formula A=∫y0 dy. To calculate the area, we need to first find the antiderivative of y0, which is F(y0) = ∫y0 dy. Then, we need to evaluate the integral from the lower limit of the given interval to the upper limit of the given interval. For example, if the given interval is from x=0 to x=2, then the area bounded by the two graphs would be A=F(y0)|2-0 = ∫y0 dy|2-0. Once we have evaluated the integral, we can calculate the area of the graph by subtracting the lower limit result from the antiderivative In this example, A=F(y0)|2-0 = ∫y0 dy|2-0 = F(y0)|2-F(y0)|0 = ∫y0 dy|2-∫y0 dy|0. Thus, the area bounded by the graphs of y and y0 over the given interval is A = ∫y0 dy|2-∫y0 dy|0.
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Sandy used a virtual coin toss app to show the results of flipping a coin 50 times, 400 times, and 2,000 times. Explain what most likely happened in Sandy's experiment.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 2,000 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 400 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 50 flips.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
Is this the answer anyone???
The number of hot dogs will Team A need to sell to reach its goal is 690.
What is the linear equation in one variable?
A linear equation in one variable is an equation that can be written in the form: y = mx + b,where "x" is the independent variable, "y" is the dependent variable, "m" is the slope of the line, and "b" is the y-intercept.
Let the number of dogs be x.
1.48x - 20 = 1000
1.48x = 1020
x = 1020/1.48
x = 690
Hence, the number of hot dogs will Team A need to sell to reach its goal is 690.
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use a double number line to solve eache equation
Answer: x = -2
Step-by-step explanation:
Ten more than 32% of a number is 26
Answer:
16.
Step-by-step explanation:
Let x be the number.
32% of x = (32/100)x = 0.32x.
Ten more than 32% of x = 0.32x + 10.
0.32x + 10 = 26.
0.32x = 16.
x = 50.
So the number is 50, and 32% of it is 0.32 * 50 = 16.
Does someone mind helping me with this problem? Thank you!
The percentage gain of the company is calculated to be 10%.
How to calculate for the percentage gainThe percentage gain is calculated by multiplying the fraction of the gain and the initial amount by 100.
we shall calculate for the percentage gain of the company as follows:
gain = $33 - $30 = $3
initial amount = $30
percentage gain = ($3/$30) × 100
percentage gain = (1/10) × 100
percentage gain = 10%
Therefore, the percentage gain of the company is calculated to be 10%.
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What is x3+y3+z3=k divided by 6?
The simplification of the given equation would be = k = 1/2(X+y+z)
What is division?Division can be defined as one of the major arithmetic operation which is used to share or distribute a whole value between two or more values.
The equation that is given;
k = x3+y3+z3/6
k =3(X+y+y)/6
Divide through by 3;
k = =X+y+y/2 or
k = 1/2(X+y+z)
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Find the surface are of this cube. 3cm
Answer:
surface of 3cm cube=l³
=3³
=27
find equivalent fractions to compare. Then write >< or =
please tell the multiples too.
The equivalent fractions are
1.) 5/6 > 4/6
5.) 7/8 > 4/8
9.) 8/10 < 15/10
13.) 6/8 < 7/8
what is a fraction?
A fraction is a mathematical expression that represents a part of a whole or a division of one quantity into equal parts. It consists of two parts, a numerator and a denominator. The numerator represents the number of equal parts of the whole and the denominator represents the total number of parts the whole is divided into.
1.) 5/6 ___ 2/3
To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 6 and 3 is 6. So, to make the denominator of 2/3 equal to 6, multiply both the numerator and denominator by 2:
2/3 * 2/2 = 4/6
Now, both 5/6 and 4/6 have a common denominator of 6. So, we can easily compare:
5/6 __ 4/6
5/6 is greater than 4/6, so the answer is 5/6 > 4/6
5.) 7/8 ___ 1/2
To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 8 and 2 is 8. So, to make the denominator of 1/2 equal to 8, multiply both the numerator and denominator by 4:
1/2 * 4/4 = 4/8
Now, both 7/8 and 4/8 have a common denominator of 8. So, we can easily compare:
7/8 __ 4/8
7/8 is greater than 4/8, so the answer is 7/8 > 4/8
9.) 8/10 ___ 3/4
To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 10 and 4 is 10. So, to make the denominator of 3/4 equal to 10, multiply both the numerator and denominator by 5/5:
3/4 * 5/5 = 15/10
Now, both 8/10 and 15/10 have a common denominator of 10. So, we can easily compare:
8/10 __ 15/10
8/10 is less than 15/10, so the answer is 8/10 < 15/10
13.) 3/4 ___ 7/8
To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 4 and 8 is 8. So, to make the denominator of 3/4 equal to 8, multiply both the numerator and denominator by 2:
3/4 * 2/2 = 6/8
Now, both 6/8 and 7/8 have a common denominator of 8. So, we can easily compare:
6/8 __ 7/8
6/8 is less than 7/8, so the answer is 6/8 < 7/8
Hence, the equivalent fractions are
1.) 5/6 > 4/6
5.) 7/8 > 4/8
9.) 8/10 < 15/10
13.) 6/8 < 7/8
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a group has 400 members only 5/8 have paid there fees what percent have paid there fees
Answer:
400
Step-by-step explanation:
percent means per one hundred so
p/100=5/8
p=500/8
p=62.5%
so, 62.5% have paid their yearly fees .
400(5/8) =200
250 member paid their fees .
Answer:
250
Step-by-step explanation:
If a group contains 400 members
Then the 5/8 of 400 who didn't pay the fees are as follows:-
=5/8*400
=5*50
=250 out of 400
So, the fees is only paid by 250 members out of 400.
Matthew is married and lives in Pennsylvania, which has a state income tax rate of 3.07%. He earns an annual salary of $47,530. Calculate his monthly take-home pay.
A.$3,418.86
B.$3,839.24
C.$3,540.83
D.$3,523.82
E.$3,960.83
Answer:
B
Step-by-step explanation:
Matthew's monthly take-home pay is approximately $2,960.69 (47,530 / 12). To calculate the exact amount, we need to subtract the state income tax from his monthly salary:
$47,530 / 12 = $3,961.67
$3,961.67 * 0.0307 = $122.57
$3,961.67 - $122.57 = $3,839.10
Therefore, the correct answer is B) $3,839.24