Answer:
1.7
Step-by-step explanation:
[tex]\frac{17 \text{ in}}{10 \text{ hr}}=1.7[/tex] in/hr
7. In 2009, the national average price for milk was $3.11
and in 2011 it rose again to $3.57 per gallon.
Was the percent increase in cost greater from 2009
your answer.
The percentage increase in cost greater from 2009 is 14.79%
The average price of milk in 2009 = $3.11
The average of price of milk in 2011 = $3.57
The increase in price = The average of price of milk in 2011 - The average price of milk in 2009
Substitute the values in the equation
The increase in price = 3.57 - 3.11
= $0.46
The percentage increase = The increase in price / The average price of milk in 2009 × 100
Substitute the values in the equation
The percentage increase = ( 0.46 / 3.11 )×100
= 14.79%
Hence, the percentage increase in cost greater from 2009 is 14.79%
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A baker makes 18 cakes in a 12-hour day.
How many does she make in a 60-hour week?
Lout
A baker makes 90 cakes in a 60-hour week
A baker makes 18 cakes in a 12-hour day.
So, the number of cakes she makes in an hour would be,
18/12 = 1.5 cakes/hour
We need to find the number of cakes she make in a 60-hour week.
Using unitary method we find the required number of cakes,
1.5 * 60 = 90
Therefore, a baker makes 90 cakes in a 60-hour week
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Write equations for the horizontal and vertical lines passing through the point (2, -6).
horizontal line: 0
vertical line:
Continue
0
00
X
0=0
3
The horizontal line passing through the point (2, -6) is y = -6 and the vertical line passing through the point (2, -6) is x = 2
We need to write equations for the horizontal and vertical lines passing through the point (2, -6)
For a vertical line the value of x will never change. This will be true for any value of y.
So, the equation for a vertical line passing through this point is:
x = 2
Similarly, for a horizontal line the value of y will never change. This is true for any value of x.
So, the equation for a horizontal line passing through this point is:
y = -6
Therefore, the horizontal line passing through the point (2, -6) is y = -6 and the vertical line passing through the point (2, -6) is x = 2
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find the slope of (1,2) and (7,-1)
Answer:
Slope (m) = -1/2 or -0.5
Hope that helps ! ^^
Answer:
m= - 1/2
The step-by-step explanation is in the screenshot below!
PLEASE HELP IM SO DESPRATE !!!!!PLEASE MARK CORRECT ANSWER IN EXPLANATION:)
The expression below is a polynomial. wy^2(8y^3 - 2y^2 + 7y) It simplifies to 40y^5 - 10y^4 + 35y^3. What must be the value of w?
==================================================
Explanation:
The term wy^2 out front multiplies with each term inside the parenthesis (because of the distributive rule).
Let's multiply the outer term with the first term inside the parenthesis to get the following:
wy^2 times 8y^3 = 8wy^5
Compare 8wy^5 with 40y^5, and we see the coefficients 8w and 40 match up. Therefore, 8w = 40 solves to w = 5
Kirsty makes orange-strawberry punch. The table shows how many parts orange juice and strawberry juice to make one batch.
Orange-Strawberry Punch
Parts Orange Juice
4
Parts Strawberry Juice
5
Kirsty decides to increase the strawberry juice by one part. What is the new ratio of strawberry juice to orange juice?
For every 4 parts orange juice there are 4 parts strawberry juice.
For every 5 parts orange juice there are 4 parts strawberry juice.
For every 4 parts orange juice there are 6 parts strawberry juice.
For every 5 parts orange juice there are 6 parts strawberry juice.
Answer:
2nd one, hope this helps
Step-by-step explanation:
Answer:
It is C.
Step-by-step explanation:
Do not listen to top answer
I got it right on unit test review ….
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
Answer: (-3,0)
Step-by-step explanation:
-1 - 2 = -3
1+2=3
3+2=5
2 is the common thing between 2 and 4, 4 and 6, 6 and 8 so from -2 + 2 = 0
The illustration represents the positions of two planes on a radar screen at an airport control tower. The control tower is located at the origin. The radii of the circles are in miles.
Due to a problem on the ground, the pilots have been told to continue circling the airport and to maintain the same airspeed. The planes are located at the same altitude. Determine the equation of the circle on which the two planes are flying.
Answer:
0, 08Step-by-step explanation:
You want the equation of the circle shown on the radar screen as having a radius of 8 miles, centered at the origin.
Equation of a circleThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
ApplicationYour circle is shown as having a radius of 8 miles. It is centered at the same origin where the control tower is located. That means we have ...
(h, k) = (0, 0)
r = 8
Using these values in the circle equation gives ...
(x -0)² +(y -0)² = 8²
What is the sum of all integers n that make this statement true?
-3n < 7n-20 < 3n
The notation a < b < c means that a < b and b < c must both be true at once.
We can simplify the inequality to:
-1/2 < -1/n < -1/5
The solutions are n = 3 and n =4, and the sum of these is equal to 7
How to get the sum?
We start with the inequality:
-3n < 7n - 20 < 3n
First, we need to solve this for n.
if we divide all the inequality by n, we will get:
-3 < 7 - 20/n < 3
Now we can subtract 7 in all the parts to get:
-3 - 7 < -20/n < 3 - 7
-10 < -20/n < -4
Fiinally, if we divide by 20 we get:
-10/20 < -1/n < -4/20
-1/2 < -1/n < -1/5
So if n is only an integer number, the values of n that make the inequality true are:
n = 3 and n = 4
Then the sum of these two values is:
sum = 3 + 4 =7
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Calculate Sam’s regular pay amount overtime pay and gross pay for the first week of December
Step-by-step explanation:
that's a right answer u're working on sir appreciated
point(s) possible
A class consists of 30 women and 18 men. If a student is randomly selected, what is the probability that the student is a woman?
OA.
OB.
O C.
OD.
38
51005/3 19
48
Ne:
The probability that the student selected is 5/8.
According to the question,
We have the following information:
A class consists of 30 women and 18 men.
Now, total students in the class = Number of women + number of men
Total students = 30+18
Total students = 48
Now, the probability that the student is a woman:
Probability of an event = Number of women/total number of students
30/48
(More to know: probability of an event can not be greater than 1.)
Now, converting this into the simplest form by dividing both the numerator and denominator by 6:
5/8
Hence, the probability that the student selected is 5/8.
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A pilot needs to know if a plane with clear the tower. The plane will travel 1500 yards
before lifting off the ground to travel another 603 yards after which point the plane will be
directly over the tower. If the plane had continued on the runway, it is another 600 yards
to the control tower, which is 198 feet high.
Which statement best describes how to determine if the plane clears the tower?
The statement that best describes how to determine if the plane clears the tower is;
Use the Pythagoras Theorem where the distance to the tower is a leg of the right triangle and the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the tower height
Given,
The length the plane will travel before lifting = 1500 yards
The distance further the plane will travel after lifting off the ground = 603 yards
The horizontal distance from the point of lifting off the ground to control tower = 600 yards
The horizontal distance from the point of liftoff to the control tower, the height of the control tower, and the distance of the plane's path after takeoff create a right triangle with the following sides:
The distance of the path of the plane after lifting off the ground = The hypotenuse side of the triangle
The horizontal distance from the point of lifting off the ground to control tower and the height of the control tower = The two legs of the right triangle
Let h stand for the height of the control tower, x for the horizontal distance from the plane's liftoff point to the control tower, and R for the length of the plane's route after liftoff, and we obtain;
h = √(R² - x²)
We have;
R = 603 yards
x = 600 yards
∴ h = √(R² - x²) = h = √(603² - 600²) = 60.07 yards
The height of the control tower, h = 60.07 yards
1 yard = 3 feet
∴ 60.07 yards = 3 × 60.07 feet ≈ 180.22 feet
Therefore, given that the height of the control tower = 198 feet, the plane at the height of approximately 180.22 feet clears the tower.
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A guy wire used to support a tower is 200 feet long. The guy wire is attached to the top of the tower and is anchored to the ground 150 feet away from the base. How tall is the tower?
The height of the tower that was supported with the wire is 132.29 feet.
What is the height of the tower?The tower, the wire and the ground would form a right triangle. A right triangle is a polygon that has three sides. The longest side is the hypotenuse. The other two sides are the length and the base.
In this question, the wire is the hypotenuse, the tower is the length and the ground is the base. Pythagoras theorem would be used to determine the height of the tower.
The Pythagoras theorem: a² + b² = c²
where:
a = length
b = base
c = hypotenuse
a² + 150² = 200²
a² + 22,500 = 40,000
a² = 40,000 - 22,500
a² = 17,500
a = √17,500
a = 132.29 feet
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Which variables would the scatter plot at the right be most likely to represent?
Question 2 options:
The number of people at a concert and the total concession sales
The number of guests at a hotel and the total water consumption
The number of siblings a person has and the person's GPA
The total number of miles driven and the total gallons of gas used
The variables that the scatter plot at the right would be most likely to represent is option C: The number of siblings a person has and the person's GPA.
What types of variables are allowed to be used in a scatter plot?To illustrate how much one variable affects another, scatter plots are tools that are often used to place data points on a horizontal as well as vertical axis.
A marker is used to represent each row in the data table, and the position of the marker depends on the values of the columns that are set up on the X and Y axes.
From the graph above, the Independent variables (siblings) are typically plotted on the horizontal axis, and dependent variables (Person's GPA) are typically plotted on the vertical axis.
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The growth of the world's population can be described by the equation A=Age, where time t is measure in years, A, is the population of the world at t=0, r is the annual growth rate, and A is the population at time t. Assume that r= 3% per year. How long will it take a
population of 8 billion to increase to 9 billion.
_ years, round to the nearest whole number
It will take 37.5 years.
From the question, we have
A_0 = 8 billion
A = 9 billion.
r= 3% per year
A = A_0*e^rt
9 = 8*e^3t/100
9/8 = e^3t/100
Taking log_e both sides,
log_e 9/8 = log_e e^3t/100
9/8 = 3t/100
t = (9*100)/(8*3)
t = 37.5 years
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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Which of the following has the markings of the given statements and any applicable
relationships, properties, definitions or theorems?
OR bisects PQS,
QR bisects POS 2PRO-ZSRQ
OR bisects POS 4PRO-SRG
OR bisects
What is the solution to the system of equations?
-2x + 5y = -16
3x - 4y = 17
The solution of the system of equations is , x= -16 - 10/2 = 13
What is equations?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1.This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.According to our question-
-2x + 5y = -16 (3) = -6x + 15y = -48
3x - 4y = 17 (2) = 6x - 8y = 34
7y = -14
y= -14/7 = 2
-2x + 5(2) = -16
-2x + 10 = -16
x= -16 - 10/2 = 13
hence,The solution of the system of equations is , x= -16 - 10/2 = 13
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g(x) = x¹¹ - 3x⁹ +2. I have to find the local minima using the second derivative test
x = √(27/11) is the local minima of the function g(x) = x¹¹ - 3x⁹ +2
Given, a function g(x) = x¹¹ - 3x⁹ +2
we have to find the local minima using the second derivative test.
first we differentiate the function,
g(x) = x¹¹ - 3x⁹ +2
g'(x) = 11x^10 - 27x^8
Now, putting g'(x) = 0
11x^10 - 27x^8 = 0
x^8(11x² - 27) = 0
Now, x = 0 or x = √(27/11)
After again differentiating the function we get
x = √(27/11) as the local minima of the function.
Hence, x = √(27/11) is the local minima of the function g(x) = x¹¹ - 3x⁹ +2
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4. Can the output of f(x) = 5 ever be a negative number? Why
a
or why not?
There is not any chance of getting negative number in answer.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x) = 5
Here, f(x) = 5 shows that whatever is the value of x the result value will be 5.
As, there is no variable x in the defined function and only having a constant 5 which is positive in nature.
So, whatever be the value of x is we will get 5 only.
Thus, there is not any chance of getting negative number in answer.
For example, f(1)= 5, f(3)= 5, f(-5)= 5
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Given <2=13, which lines, if any, must be parallel based on
the given information? Justify your conclusion.
Answer:
a parallel to b
Step-by-step explanation:
What is −11 + |−5| − |−15|?
A. −11
B. −9
C. −26
D. −21
Answer:
d) -21
Step-by-step explanation:
Given problem,
→ -11 + |-5| - |-15|
Let's solve the given problem,
→ -11 + |-5| - |-15|
→ -11 + 5 - 15
→ -11 - 10 = -21
Hence, the answer is -21.
Answer:
D. −21
Step-by-step explanation:
The bars either side of an expression or a value are the absolute value symbol.
"Absolute value" means how far a value is from zero.
Therefore, the absolute value of a number is its positive numerical value.
Given expression:
[tex]-11 + |-5| - |-15|[/tex]
Absolute values in the given expression:
[tex]| -5 | = 5[/tex][tex]| -15 | = 15[/tex]Therefore:
[tex]\begin{aligned} \implies -11 + |-5| - |-15|&=-11+5-15\\&=-6-15\\&=-21 \end{aligned}[/tex]
Line m passes through points (3, 4) and (10, 8). Line n is parallel to line m. What is the slope of line n?
Answer:
4/7
Step-by-step explanation:
(8-4)/(10-3) = 4/7
parallel = same slope
Answer:
The slope of line n is 4/7
Step-by-step explanation:
First find the slope of line m
m = ( y2-y1)/(x2-x1)
m = (8 - 4)/(10 -3)
m = 4/7
Parallel lines have the same slope
The slope of line n is the same as slope of line m
The slope of line n is 4/7
solve for x
m = -12bx - 3 + 9x
Answer:
Below
Step-by-step explanation:
m = x ( -12b+9) - 3
m+ 3 = x (-12b+9)
x = (m+3) / ( -12b+9) 0r (m+3) / (9-12b)
Please help! Explain how to find the slope and y-intercept by just looking at the equation y=1/3x-2. Then graph the equation and verify your answers.
Slope of the given equation is m = 1/3
intercept of the given equation = (0 , -2)
and the graph is attached below .
What is slope ?Slope is a number that describes the steepness of a line, usually determined by calculating the ratio of the vertical distance to the horizontal distance (rise) between two points. The slope of the line is the rate of increase in y for any given increase in x. slope indicates the slope of the line, i.e. how much y increases as x increases. The slope is constant (the same) everywhere along the straight line. One way to think of the slope of a line is to think of a roof or ski slope. Both the roof and the ski slopes can be very steep or quite flat. In fact, both ski slopes and roofs can be perfectly flat (horizontal) like lines. There are no perfectly vertical ski slopes or roofs, but lines are possible. You can usually tell visually which slope is steeper than the other. Indeed, the three slopes gradually become steeper.Calculationusing slope intercept formula
y = mx + b
we get
slope of the given equation ( y = 1/3 x - 2 )
is m = 1/3
if we put values either of x or y
we get intercepts as ( 0 , -2 )
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Explain how you could estimate 22% of 78 to check if your answer is reasonable.
help, please the question in the picture
The probability that the advertising firm chosen at random has less than $1 million in revenue is 0.56.
The probability that the advertising firm chosen at random has an income between $1 million and $20 million or over $20 million is 0.44.
The rule used is the rule of addition only.
What are the probabilities?Probability is used in statistics to calculate the likelihood that a random event would take place. The likelihood that the random event occurs has a probability value that lies between 0 and 1.
The more likely it is that the event would occur, the closer the probability value would be to 1. The more unlikely it is that the event would not happen, the closer the probability value would be to 0.
The rules of addition is used to determine the probability that either of two events would occur.
Probability that the advertising firm chosen at random has less than $1 million in revenue = total number of firms that have a revenue that is less than 1 million / total number of firms surveyed
Probability that the advertising firm chosen at random has less than $1 million in revenue = 148 / 264 = 0.56
Probability that the advertising firm chosen at random has an income between $1 million and $20 million or over $20 million = (number of firms that have an income between $1 million and $20 million / total number of firms) + (number of firms that have an income over $20 million / total number of firms)
= (67 / 264) + (49 / 264)
= 116 / 264 = 0.44
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IXL Please Help Fast!
Answer:
[tex]y=2x-1[/tex]
Step-by-step explanation:
Take a look at the attachment...
Hope this helps! :)
Is x/4-y/3=1 a linear question and what is it in standard form
Answer:
Step-by-step explanation:
so I believe the question is
[tex]\frac{1}{4}[/tex]X - [tex]\frac{1}{3}[/tex]Y=1
and we want to know if that is linear, and what the standard form for the equation would be
let's move a few things around using our algebra skillz
[tex]\frac{1}{4}[/tex]X-1 = [tex]\frac{1}{3}[/tex]Y
[tex]\frac{3}{4}[/tex]X-3 = Y
y = [tex]\frac{3}{4}[/tex]x-3 (in standard form y=mx+b)
y=[tex]\frac{3}{4}[/tex]x + (-3)
we can see that this does make a line, so it's linear, and it's in standard form now.
Last week, a coral reef grew 19.8 mm taller. Use the facts to
find how much this is in meters.
m
5
Conversion facts for length
1000 millimeters (mm) = 1 meter (m)
100 centimeters (cm) = 1 meter (m)
10 decimeters (dm) = 1 meter (m)
1 dekameter (dam) 10 meters (m)
1 hectometer (hm) = 100 meters (m)
1 kilometer (km) 1000 meters (m)
=
-
1/7+2/6 please help me
Answer:
10/21
Step-by-step explanation:
1/7+1/6=6/42+14/42
=(6+14)/42
=20/42
=10/21