1/2 - 1/3 = 3/6-2/6 = 1/6
absolute value is 1/6
A student is trying to remember some formulas from geometry. in what follows, assume a is area, v is volume, and all other variables are lengths. determine which formulas are dimensionally consistent.
Marietta was given a raise of $0.75 per hour, which gave her a new wage of $12.25 per hour. Write and solve an equation to determine Marietta’s hourly wage before her raise. Show that your answer is reasonable.
integral of cot^4/cot^2x
Daniela finds the sum of two addenda. The sum is odd. Which statement is true about the addenda
Henry and Holly catch crawfish which they sell to a local Cajun restaurant. The restaurant pays them $3.80 a pound for live crawfish that are large enough. 5% of the crawfish die before they can deliver them to the restaurant and 7% of the live crawfish are too small.
the expression which represents how much money they make per pound of crawfish they catch is 3.3573x.
Given that, the restaurant pays them $3.80 a pound for live crawfish that is large enough 5% of the crawfish die before they can deliver to the restaurant 7% of the live crawfish are too small.
We need to write an expression for the given situation.
What is an algebraic expression?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Let "x" be the number of crawfish they catch.
Now, the expression is
Money earned=3.80× (1-5%)× (1-7%)× x
=3.80× (1-0.05)× (1-0.07)× x
=3.80× 0.95× 0.93× x
=3.3573x
Therefore, the expression which represents how much money they make per pound of crawfish they catch is 3.3573x.
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Your question is incomplete, probably the complete question/missing part is:
Henry and Holly catch crawfish which they sell to a local Cajun restaurant. The restaurant pays them $3.80 a pound for live crawfish that are large enough. 5% of the crawfish die before they can deliver to the restaurant and 7% of the live crawfish are too small.
Identify an expression which represents how much money they make per pound of crawfish they catch.
Curly used a shovel to dig his own swimming pool. He figured he needed a pool because digging it was hard work, and he could use it to cool off after working on it all day. He also planned to build a rectangular concrete deck around the pool that would be 6 feet wide at all points. The pool is rectangular and measures 14 feet by 40 feet. What is the area of the deck?
The area of the deck that is built around the pool is 1352 ft².
What is the area of the deck?A rectangle is a 2-dimensional quadrilateral with four right angles.
Area of a rectangle = length x width
Length = 14 + 6 + 6 = 26 Width = 40 + 6 + 6 = 52Area = 26 x 52 = 1352 ft²
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"if n balls are distributed randomly into k urns, what is the probability that the last urn contains j balls?"
The answer relies on whether the balls are different or not. If they are not, which is almost certainly what is intended.
If they are, the perceptive is a bit different. Your expression gives the likelihood that a particular set of j balls goes into the last urn and the other n−j balls into the other urns. But there are (nj) different possible sets of j balls, and each of them the same probability of being the last insides of the last urn, so the total probability of completing up with exactly j balls in the last urn is if the balls are different.
See attached file for the answer.
To calculate the probability that the last urn contains j balls when n balls are distributed randomly into k urns, consider the number of ways to distribute the balls among the k-1 urns and multiply it by the probability of the last urn containing j balls.
Explanation:To calculate the probability that the last urn contains j balls, we need to consider the number of ways to distribute the n balls among the k-1 urns (excluding the last urn) and multiply it by the probability of the last urn containing j balls.
Let's assume that the number of ways to distribute the n balls among the k-1 urns is denoted by C. The probability of the last urn containing j balls is then given by P(j) = C * (1/k).
For example, if there are 10 balls distributed randomly into 4 urns and we want to find the probability that the last urn contains 3 balls, we need to calculate the number of ways to distribute the 10 balls among the first three urns (C) and multiply it by the probability of the last urn containing 3 balls (1/4).
Divide 300 in a ratio of 3:7
To divide 300 by a ratio of 3:7, calculate the value of each part by dividing 300 by the sum of the ratio parts (10) and then multiply by each part of the ratio to get 90 and 210, respectively.
Explanation:To divide 300 in a ratio of 3:7, first add the parts of the ratio together to determine how many parts you will split 300 into.
In this case, 3 + 7 equals 10 parts.
Then, you divide 300 by 10 to find out how much one part is worth.
This gives 300 ÷ 10 = 30. Now, to find the amounts corresponding to the ratio, multiply the single part value by the numbers in the ratio. For the first part (ratio 3), multiply 30 by 3 to get 90.
For the second part (ratio 7), multiply 30 by 7 to get 210.
So, 300 divided in a ratio of 3:7 gives us 90 and 210, respectively.
4 times a number cubed decreased by 7
During track practice, Carter walks for 200 m each time after he jogs for 800 m. If he jogged for 7,200 m during today's practice, how many meters did he walk?
7200 / 800 = 9
9*200 = 1800
he walked 1800 m
Which is 10^-5 written in standard form?
A. 0.00001
B. 0.0001
C. 10.000
D. 100.000
The price of a shampoo, cut, and style at the hairstyling salon where you work is $18.00. You generally get a 20% tip from each customer, and the salon owner pays you 1/4 of each job's cost. On a typical day, you give shampoos, cuts, and styles to 8 customers. About how much can you expect to earn on such a day?
$4.5 per service x 8 = $36.00
$18.00 x 8 = $144 x 20% = $29.00
$65.00
Answer:
You can expect $65.00 to earn on such a day.
Step-by-step explanation:
The price of shampoo, cut and style = $18.00
you generally get a tip from each customer = 20% of $18.00
0.20 × 18.00 = $3.60
Salon owner pays 1/4 of each job's cost = [tex]\frac{1}{4}[/tex] of $18.00
[tex]\frac{1}{4}[/tex] × 18.00 = $4.50
Total earning from each customer = 3.60 + 4.50 = $8.10
On a typical day, you serve 8 customers,
so the earning of each day = 8.10 × 8 = $64.80 ≈ $65.00
You can expect $65.00 to earn on such a day.
theses two questions are together
What is the lateral area of a pyramid with base edges 5 ft and surface area 55 ft2?
1/2 (3g -2) = g/2
PLEASE HELP
The solution to the given equation (1/2)(3g - 2) = g/2 is g = 1 using the distributive property.
The equation is given as follows:
(1/2)(3g - 2) = g/2
Apply the distributive property by multiplying (1/2) to both terms inside the parentheses:
(1/2)(3g - 2) = g/2
(3g/2) - (2/2) = g/2
(3g/2) - 1 = g/2
Multiply both sides of the equation by 2 to eliminate the denominators:
2[(3g/2) - 1] = 2(g/2)
3g - 2 = g
Simplify the equation by moving all terms with g to one side and the constant terms to the other side:
3g - g = 2
2g = 2
Divide both sides of the equation by 2 to solve for g:
(2g)/2 = 2/2
g = 1
Therefore, the solution to the equation (1/2)(3g - 2) = g/2 is g = 1.
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Let g(x) = 5x -2 and h(x)= x^2-16
1. (h"Composition"g) (-1)
This is the best I can do with explaining this. If anyone could please help and explain this to me, I would really appreciate it. The composition thing is just an open circle between the two..
What are the factors of the trinomial x^2+6x-7
The distance between the two islands shown on the map is 210 miles. A ruler measures the distance on the map is three 1/2 inches how many miles would be represented by one 3/4 inches on the map?
The equation y = 6.3x + 67.4 is the equation of a linear model in a scatter plot comparing the ages of boys between 2 and 10 years old open (x) and their average heights in centimeters open (y).
What is the average height of a 5-year-old boy?
98.9 cm
78.7 cm
67.4 cm
62.4 cm
The average height of a 5 year old baby can be obtained by substituting the x and y values into the regression equation ; Hence, the average height of the baby is 98.9 cm
Given the linear regression equation :
y = 6.3x + 67.4 x = age of baby = 5 ; y = height of babyThe average height of a 5 year old baby is thus :
y = 6.3(5) + 67.4
y = 31.5 + 67.4
y = 98.9
Hence, the average height a 5 year old baby will be 98.9cm
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The line contains the point (-7,0) and is parallel to the line defined by 4x=3y. What is the equation of the line
Through any three noncollinear points, there is exactly one plane containing them. Points W, X, and Y are noncollinear.
Answer:
There is exactly one plane containing points W, X, and Y
Step-by-step explanation:
the second angel im a triangle is 2° less the 3 times the first angle the third Angle is 14° more than twice the first angle find the measure of all three angles I'm the triangle (plz show step by step)
how do you solve for
-40=-2(3n-4)
Simplify 13 + 2 - 5 - 15
13 +2 = 15 -5= 10 -15 = -5
For what values of r does the function y = erx satisfy the differential equation y'' − 6y' + 2y = 0? (enter your answers as a comma-separated list.)
The values of [tex]r[/tex] is [tex]\boxed{r = 3 - \sqrt7 }[/tex] and [tex]\boxed{r = 3 + \sqrt 7 }.[/tex]
Further explanation:
Given:
The function is [tex]y = {e^{rx}}.[/tex]
The differential equation is [tex]y'' - 6y' + 2y = 0\,\,\,\,\,or\,\,\,\,\dfrac{{{d^2}y}}{{d{x^2}}} - 6\dfrac{{dy}}{{dx}} + 2y = 0[/tex]
Explanation:
The given function can be expressed as follows,
[tex]y = {e^{rx}}[/tex]
Differentiate the above equation with respect to [tex]x[/tex].
[tex]\begin{aligned}\frac{{dy}}{{dx}} &= \frac{d}{{dx}}\left( {{e^{rx}}} \right)\\&= {e^{rx}} \times \frac{d}{{dx}}\left( {rx} \right)\\&= {e^{rx}} \times r\\&= r{e^{rx}}\\\end{aligned}[/tex]
Again differentiate with respect to [tex]x[/tex].
[tex]\begin{aligned}\frac{{{d^2}y}}{{d{x^2}}} &= \frac{d}{{dx}}\left( {r{e^{rx}}} \right)\\&= r\frac{d}{{dx}}\left( {{e^{rx}}} \right)\\&=r\times {e^{rx}} \times\frac{d}{{dx}}\left( {rx} \right)\\&= {r^2}{e^{rx}}\\\end{aligned}[/tex]
Now solve the differential equation.
[tex]\begin{aligned}y'' - 6y' + 2y &= 0\\{r^2}{e^{rx}} - 6r{e^{rx}} + 2{e^{rx}} &= 0\\{e^{rx}}\left( {{r^2} - 6r + 2} \right) &= 0\\{r^2} - 6r + 2 &= 0\\\end{aligned}[/tex]
Solve the quadratic equation [tex]{r^2} - 6r + 2 = 0.[/tex]
[tex]\begin{aligned}D&= {b^2} - 4ac\\&={\left( { - 6} \right)^2} - 4\left( 1 \right)\left( 2 \right)\\&= 36 - 8\\&= 28\\\end{aligned}[/tex]
The value of [tex]r[/tex] can be obtained as follows,
[tex]\begin{aligned}r&= \frac{{ - b \pm \sqrt D }}{{2a}}\\r&=\frac{{ - \left( { - 6} \right) \pm \sqrt {28} }}{{2 \times 1}} \\ r &= \frac{{6 \pm 2\sqrt7 }}{2}\\r&= 3 \pm \sqrt7\\r&= 3 - \sqrt 7 \,\,\,\,\,\,\,or\,\,\,\,\,\,\,r = 3 + \sqrt7 \\\end{aligned}[/tex]
The values of [tex]r[/tex] is [tex]\boxed{r = 3 - \sqrt7 }[/tex] and [tex]\boxed{r = 3 + \sqrt 7 }.[/tex]
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Derivatives
Keywords: Derivative, value of x, function, differentiate, minimum value, dy, compute, given value of [tex]x, y=6x, x=4, x=1[/tex]
6,000 is 10 time as much as
Suppose m<3 = 105. find m<6
To find the measure of angle 6, we can use the fact that angles 3 and 6 are vertical angles (opposite angles formed by the intersection of two lines). Therefore, their measures are equal.
Given that[tex]\( m\angle 3 = 105^\circ \), we have \( m\angle 6 = m\angle 3 = 105^\circ \).So, the measure of angle 6 is \( \boxed{105^\circ} \).[/tex]
The measure of angle 6 is 105 degrees. This is because angles 3 and 6 are vertical angles, meaning they are formed by intersecting lines and are opposite each other. According to the Vertical Angles Theorem, vertical angles are congruent, meaning they have the same measure. Therefore, if angle 3 measures 105 degrees, angle 6, being its vertical angle, also measures 105 degrees. This principle holds true regardless of the specific configuration of lines or shapes, as long as the angles are formed by intersecting lines. Hence, in this case, the measure of angle 6 directly corresponds to the measure of angle 3 due to their relationship as vertical angles, resulting in both having a measure of 105 degrees.
Find the coordinates of point p which divides the line segment from A=(0,4)to B=(6,8)in a ratio of 1:2
A 1-ounce serving of cream cheese contains 7.8
grams of saturated fat. How much saturated fat is in 12
ounces of cream cheese?
To find the total grams of saturated fat in 12 ounces of cream cheese, multiply the grams per ounce (7.8) by the total ounces (12), which equals 93.6 grams.
Explanation:To answer this question, we need to multiply the amount of saturated fat in one ounce of cream cheese by the total number of ounces you have. Since one ounce of cream cheese contains 7.8 grams of saturated fat, you would multiply 7.8 by 12 (the total number of ounces) to get the total amount of saturated fat.
7.8 grams of saturated fat per ounce × 12 ounces = 93.6 grams
So, 12 ounces of cream cheese contains 93.6 grams of saturated fat.
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How do I find slope?