Given the following inverse variation find the missing value: (4, 33) (12, y)
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What is f(–3) if f(x) = |2x – 1| – 5?
A subway ride for a student costs $1.25. A monthly pass costs $35.Write an inequality that represents the number of times, x , you must ride the subway for the monthly pass to be a better deal.
Answer:
1.25x>35
Step-by-step explanation:
If x is the number of times you must ride the subway and the monthly pass is $35, we must determine the expression where the cost per ride is greater than $35. Therefore:
1.25x>35
We can solve x to determine the number of rides you must ride for the monthly pass to be a better deal.
x>35/1.25
x>28
The student must take more than 28 rides for the mothly pass to be a better deal.
Solve 2a − 5d = 30 for d
Deshawn multiplies 236 by 9. Which are the three partial products he could add to find the final product?
A census is taken every 10 years to determine to determine the apportionment of
The US Constitution requires that there be a census every ten years in order to apportion the seats in the House of Representatives among the states. Census information is also used by federal, state, and local governments to assess needs and allocate funding, by academics to study the changing population, by individuals to trace their genealogy, and for many other purposes.
Suppose you have 100 mL cup 300 mL cup in a 500 mL cup list two different ways you can measure exactly 1 L
Final answer:
To measure 1 liter, one could fill a 500 mL cup twice, or fill a 300 mL cup once, a 500 mL cup once, and a 100 mL cup twice, summing to a total of 1,000 mL which equals 1 liter.
Explanation:
To measure exactly 1 liter using cups of 100 mL, 300 mL, and 500 mL, we can use two different methods. It's important to note that 1 liter (L) equals 1,000 milliliters (mL). Here are the steps for each method:
Method 1:
Fill the 500 mL cup twice and pour the contents into another container. (500 mL + 500 mL = 1,000 mL)
This gives you exactly 1 liter, since 1,000 milliliters is equivalent to 1 liter.
Method 2:
First, fill the 300 mL cup and pour it into an empty container.
Then, fill the 500 mL cup and add it to the same container. (300 mL + 500 mL = 800 mL)
Lastly, fill the 200 mL remaining by using the 100 mL cup twice. (100 mL + 100 mL = 200 mL)
Combining all the measurements gives you 1,000 mL, which is exactly 1 liter. (800 mL + 200 mL = 1,000 mL)
If the blue radius below is perpendicular to the chord ac which is 14 units long, what is the length of the segment ab
The answer (APEX) is: "7 units."
If you need how many days between two dates what function should be used
To calculate the number of days between two dates, subtract the start date from the end date and add 1.
Explanation:To find the number of days between two dates, you can use the formula:
Number of days = (End date) - (Start date) + 1
For example, if the start date is July 10, 2022, and the end date is July 15, 2022, the number of days between them would be:
Number of days = (15) - (10) + 1 = 6
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which function represents a vertical stretch of an exponential function
Sequence 13, 39, 65, 91,
Which statements describe acceleration? Check all that apply.
Negative acceleration occurs when an object slows down in the positive direction.
Negative acceleration occurs when an object slows down in the negative direction.
Negative acceleration occurs when an object speeds up in the negative direction.
Positive acceleration occurs when an object speeds up in the positive direction.
Positive acceleration occurs when an object speeds up in the negative direction.
Positive acceleration occurs when an object slows down in the negative direction.
Acceleration determines whether an object speeds up or slows down, which can be positive or negative based on the direction of motion and the chosen coordinate system. Negative acceleration occurs when an object slows down while moving in the positive direction or speeds up while moving in the negative direction. Positive acceleration occurs when an object speeds up in the positive direction or slows down in the negative direction.
Explanation:Acceleration is the rate of change in velocity, and it can be characterized as positive or negative depending on its direction relative to a chosen coordinate system. Understanding acceleration involves recognizing how it affects an object's speed in relation to its direction of motion. Let's clarify which statements describe acceleration correctly.
Negative acceleration occurs when an object speeds up in the negative direction or when an object slows down in the positive direction.Positive acceleration occurs when an object speeds up in the positive direction.It is important to distinguish between speeding up, slowing down, and the sign of acceleration. For example, if we assume rightward motion is positive:
An object moving to the right (positive direction) and slowing down has negative acceleration.An object moving to the left (negative direction) and speeding up also has negative acceleration.Contrarily, an object moving to the left and slowing down has positive acceleration.Summarizing these principles:
Negative acceleration occurs when an object slows down in the positive direction.Negative acceleration occurs when an object speeds up in the negative direction.Positive acceleration occurs when an object speeds up in the positive direction.Additionally, positive acceleration occurs when an object slows down in the negative direction.This understanding can help distinguish between deceleration, which always indicates slowing down, and negative acceleration, which may increase speed if the velocity is also negative.
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In the diagram below, ∠Q is bisected.
Find the perimeter of ΔPQS.
If h(x)= 5 for the function h(x)= 2x+1, what is the value of x?
Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall? The number of rolls per wall is
Assuming there are 4 walls
6/4 = 1.5 rolls per wall
Answer:
A
Step-by-step explanation:
The length of a rectangle is three times its width. if the area of the rectangle is 243 in2 , find its perimeter.
The Opera House sells an average of 1,700 tickets per night when the price of each ticket is $25. An employee of the Opera House noticed that with every one-dollar decrease in the cost of each ticket, the number of tickets sold increased by 200 tickets. Write an equation that could be used to determine the number of one-dollar decreases, x, that would yield a revenue of $55,000.
To determine the number of one-dollar decreases that would yield a revenue of $55,000, set up the equation (1,700 + 200y) * (25 - x) = 55,000 and solve for x.
Explanation:To determine the number of one-dollar decreases, x, that would yield a revenue of $55,000, we can set up an equation based on the given information.
Let y be the number of one-dollar decreases and (1,700 + 200y) be the number of tickets sold. The revenue can be calculated by multiplying the number of tickets sold by the price of each ticket. So in this case, the equation can be written as:
(1,700 + 200y) * (25 - x) = 55,000
Now we can solve this equation to find the value of x.
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The length of a rectangle is 24 units. can the perimeter x of the rectangle be 60 units when its width y is 11 units? (1 point)
Okay, well we start out with the equation P=66, where P is perimeter. You should create equations using variables to explain each piece of information you are given. Follow the equations below and see if you can understand how to do another one like this. In this problem, l is length and w is width.
P = 66 The perimeter is equal to 66
l = 3 + w The length of one side is 3 more than the width
2l + 2w = 66 A rectangle's perimeter is calculated by adding the lengths and widths
2(3 + w) + 2w = 66 Use what you know about length from step 2 to replace the variable in step 3
6 + 2w + 2w = 66 Multiply
6 + 4w = 66 Add like terms
4w = 60 Subtract
w = 15 Divide
l = 3 + w Remember step 2?
l = 3 + 15 Replace the variable using your value for w
l = 18 Add
And you're done! Always check your work. It helps to create a picture of a rectangle while you're doing these problems as well. As you get used to these problems more and more, you can show more or less work than I've shown, but try to stay true to what the teacher asks of you. Good luck!
Question 2:
The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides.
24
What is the measure of an interior angle?
How many sides does the polygon have?
Question 1:
What are ED and FD in the figure to the right?
ED=
FD=
The measure of an interior angle of the regular polygon is 156 degrees and the polygon has 15 sides.
Explanation:In a regular polygon, the measure of an exterior angle is equal to 360 degrees divided by the number of sides of the polygon. In this case, the measure of the exterior angle is given as 24 degrees. So we can set up the equation:
24 = 360 / n
Where n is the number of sides. Cross multiplying, we get:
n = 360 / 24 = 15
So the polygon has 15 sides. To find the measure of an interior angle, we can use the formula:
Interior Angle = 180 - Exterior Angle
Interior Angle = 180 - 24 = 156 degrees
Emily designed a robot that could climb down steps. She drew a graph to show the results from a test of her new robot. The graph shows the number of steps remaining over time.
Which equation represents Emily’s situation, where x is the number of seconds and y is the number of steps?
The equation that describes Emily's robot's movement is y = -mx + c where 'm' is the number of steps per second the robot climbs down, and 'c' is the initial number of steps. The equation would be negative because the number of steps decreases over time.
Explanation:In the given context, Emily's robot is being tested for its ability to climb down steps. As it performs this task, the number of steps it needs to climb down decreases over time. This relationship could be described by a linear equation. If every second the robot climbs down a fixed number of steps, this would translate to a constant rate of change or slope in the graph. Therefore, the equation would be of the form y = mx + c, where 'm' is the slope (representing the number of steps per second the robot climbs down) and 'c' is the y-intercept (representing the initial number of steps).
For instance, if the robot climbs down 1 step per second, and we started with 10 steps, the equation would be y = -x + 10 (negative because the number of steps is decreasing).
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What is the median ofthe data setgiven below? 42, 20, 12, 15, 18, 15, 29, 33?
if a = 0.6(the 6 repeating) and b= 0.75, then a·b= (blank) and a/b=(blank)
Write a function rule for the table. p = 12.5h p = h + 12.5 h = 6.25p p = 6.25h
Answer:
A. p=6.25h
because
6.25 (2) = p 12.50
6.25 (4) = p 25.00
6.25 (6) = p 37.50
6.25 (8) = p 50.00
The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest cent, what is the price of grapes in dollars per kilogram?
1 lb / 0.45 = 2.22
so approximately 2.22 kilograms per pound
divide price per pound by kilometers per pound
1.44 / 2.22 = 0.648
round to 0.65, so it costs $0.65 per kilogram
Answer:
1 lb / 0.45 = 2.22
so approximately 2.22 kilograms per pound
divide price per pound by kilometers per pound
1.44 / 2.22 = 0.648
round to 0.65, so it costs $0.65 per kilogram
Step-by-step explanation:
got it right on the quiz
Isabella competed in a triathlon. She completed the swimming event in 12.9 minutes, the biking event in 13.05 minutes, and the running event in 23.125 minutes. What was Isabella’s total time in the triathlon?
Answer:
49.075 minutes
Step-by-step explanation:
Your welcome :]
The function f(x)= -6x+11 has a range given by {-37,-25,-13,-1}.Select the domain values of the function from the list 1,2,3,4,5,6,7,8. explain how you arrived at your answer
The domain of the given function f(x)= -6x+11 for the given range is
{2,4,6,8}
Given :
The function f(x)= -6x+11
range given by {-37,-25,-13,-1)
Range is the f(x) values . Domain are the x values .
To find out domain , we substitute the values of f(x) that is range and solve for x
First we substitute -37 for f(x) in the given function and solve for x
[tex]f(x)= -6x+11 \\x=-37\\-37=-6x+11\\-37-11=-6x\\-48=-6x\\x=8[/tex]
Now substitute -25 for f(x)
[tex]x=-25\\-25=-6x+11\\-25-11=-6x\\-36=-6x\\x=6\\\\\\x=-13\\-13=-6x+11\\-13-11=-6x\\-24=-6x\\x=4\\\\\\x=-1\\-1=-6x+11\\-1-11=-6x\\-12=-6x\\x=2[/tex]
x values are the domain
Domain is {2,4,6,8}
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how can you use a number to explain what an integer and rational number are??
The terms even and odd only apply to integers; 2.5 is neither even nor odd. Zero, on the other hand, is even since it is 2 times some integer: it's 2 times 0. To check whether a number is odd, see whether it's one more than some even number: 7 is odd since it's one more than 6, which is even.
Another way to say this is that zero is even since it can be written in the form 2*n, where n is an integer. Odd numbers can be written in the form 2*n + 1. Again, this lets us talk about whether negative numbers are even and odd: -9 is odd since it's one more than -10,which is even.
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what is the equation of this graphed line (in slope intercept form)
thank you!
slope =
7- - 2 =9
8-0 = 8
slope = -9/8
y intercept = 7
equation: y=-9/8x+7
My question is 8n-(6n+7)=5
Given ΔABC, m∠A = 120°, b = 13 cm, and c= 15 cm. Find the triangle's area. Round to the nearest tenth.
Final answer:
The area of triangle ΔABC with m∠A = 120°, side b = 13 cm, and side c = 15 cm, when calculated using the formula for area ½ bc sin A, is approximately 84.2 cm² when rounded to the nearest tenth.
Explanation:
To find the area of triangle ΔABC with m∠A = 120°, side b = 13 cm, and side c = 15 cm, we will use the formula for the area of a triangle when two sides and the included angle are known:
Area = ½ bc sin A
First, we need to find the sine of angle A, which is sin(120°). Using a calculator, we find that sin(120°) ≈ 0.866. Now, we can plug in the values into the area formula:
Area = ½ × 13 cm × 15 cm × sin(120°)
Area = ½ × 13 cm × 15 cm × 0.866
Area ≈ ½ × 13 cm × 15 cm × 0.866 ≈ 84.225 cm²
Rounding to the nearest tenth, the area is approximately 84.2 cm².