The graphed inequality is:
[tex]y \geq \frac{1}{3}*x - 1[/tex]
Which linear inequality is represented by the graph?We know that the line is solid, and the region above and to the left is shaded, then the inequality is of the form:
y ≥ line.
Now we need to get the linear equation.
It is of the form;
y = a*x + b
Where a is the slope and b is the y-intercept. Because it passes through (0, -1), we know that the y-intercept is -1.
And knowing that the line passes through (0, -1) and (3, 0), the slope is:
[tex]a = \frac{- 1 - 0}{0 - 3} = \frac{1}{3}[/tex]
Then the inequality is:
[tex]y \geq \frac{1}{3}*x - 1[/tex]
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Please help with these 3 questions
Answer:
dbbStep-by-step explanation:
Trigonometry is a branch of mathematics that relates the measures of sides and angles in a triangle. The various trig functions of an angle are defined in terms of the sides of a right triangle containing that angle. Consequently, the Pythagorean theorem can be used to relate certain trig functions to each other, and to obtain formulas for the sum and difference of angles.
1. Solving trianglesThe Pythagorean theorem relates side measures in right triangles. For relating side measures to each other or to angles in non-right triangles, one or both of the Law of Sines and the Law of Cosines must be used.
both b) and c)
2. Finding an angleThe Law of Sines relates side lengths and the sines of angles. Knowing three side lengths tells you nothing about the angles except the ratio of their sines.
The Law of Cosines relates three side lengths and one angle. Knowing the three side lengths, the angle measure can be found.
There is no Tangent Law.
3. Use of trigonometryTrigonometry is a calculation tool, not a measuring tool. As such, it allows calculation of angles and sides (of a triangle) that cannot be physically measured.
Paintings benefit greatly from rules of proportion and perspective. In general, trigonometry is not directly involved. (Computer-generated art may implement these rules of perspective using trigonometry. Paintings, in general, make no direct use of trigonometry.)
x-15/3 = 18x. How to solve this question? I will mark the first answerer as brainliest.
Need help with this,30 points, please help very soon, thanks
A small airplane makes a 2400 kilometer trip in 7.30 hours and makes the returned trip in six hours. If the plane travels at a constant speed wind blows at a constant rate, find the airplanes airspeed and the speed of the wind.
The speed of the airplane is 360 km/h while the speed of the wind is 40 km/h.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let a represent the speed of the airplane and b represent the speed of the wind, hence:
(a + b)6 = 2400
a + b = 400 (1)
Also:
(a - b)7.5 = 2400
a - b = 320 (2)
From eqn 1 and 2:
a = 360 km/h, b = 40 km/h
The speed of the airplane is 360 km/h while the speed of the wind is 40 km/h.
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URGENT PLEASE ANSWER THESE
The distance of the cruise liner from me 20 seconds later will be; 2600ft.
How far will the cruise liner be in 20 seconds?a) Since, the speed of the liner is 30ft/sec, it follows that after 20secs, the liner would cover; (30×20)ft = 600ft more; and consequently, the distance is now; √(2000²+600²) = ft.
b) For the boat to be 2500 ft away given the speed 30ft per sec; Time taken = 2500/30 = 83.3seconds. Hence, the boat will be more than 2500 feets away after 2 minutes.
c) If the boat's distance is 2000ft from me; it follows that the distance covered is 10 seconds is; √(2000²-1500²) = 1322.9ft
Hence, the speed to attain this distance is; 1322.9/10 = 132.29ft/sec.
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Which of these shapes are congruent
Answer:
Option A is probably the answer
If you have any question please contact me
Answer: A is the answer, should be right
for pet food: how would adopting a process costing system benefit the managers responsible for the production of this product? list two specific decisions you think a process costing system could help these managers make. identify and describe two or three processes involved in making this product. for each, describe the direct materials used and at least one conversion cost associated with the process. explain how managers would be able to estimate the cost of the units being processed at a given point in time.
Job order costing also gives managers the advantage of being able to keep track of individuals' and teams' performance in terms of cost control, efficiency, and productivity. A disadvantage of job order costing is that employees are required to track all materials and labor used during the job.
With the standardization of products, managers track performance, productivity, and costs over time. Process costing allows for greater flexibility when making changes in the production process. Managers can target specific departments' processes or materials to lower production costs.
With process costing, companies track the flow of costs from department to department, rather than tracking costs for each individual item. Each department adds direct labor and manufacturing overhead costs, plus the cost of any raw materials it uses.
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An equilateral triangle has a median drawn from one angle to the opposite side. What is the measure of each angle formed by the place where the median meets the vertex?
(Step by step pls)
Worth 20 points
The measure of each angle formed by the place where the median meets the vertex is 30 degrees
How to determine the angle?The median of an equilateral triangle divides the side and the angle into equal parts.
If the angle at the vertex is, the new angle would be
Angle = x/2
The angle at the vertex of an equilateral triangle is 60.
So, we have:
Angle = 60/2
Evaluate
Angle = 30
Hence, the measure of each angle formed by the place where the median meets the vertex is 30 degrees
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How many three-digit numbers use only the digits 0,1 and 5
The number of three digit numbers which use only the digits 0,1, and 5 is; 18.
How many three digit numbers use 0,1 and 5?Since, it follows from the task content that three digit numbers are to be considered, Hence, it follows that the choice for the first digit is between 1 and 5, for the second number and third number, the choice lies within all three numbers.
On this note, we have;
= 2× 3 × 3.
= 18.
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In AON networks, a(n) __________ is a point where one or more lines (arrows) begin or terminate, commonly used for depicting an event or activity.
In AON networks, "node" is a point where one or more lines (arrows) begin or terminate, commonly used for depicting an event or activity.
What is Activity-on-Node (AON) diagram?Scheduling logic diagrams of the most fundamental kind. Any activity on the schedule that has no float; Total Float = 0; is considered a critical activity.
Between the project's start and finish, there are vital activity(s) that must be completed continuously. This is known as the critical path.
The importance of AON diagram are-
Because it helps identify the essential path, the arrow diagram is crucial for the project timeline. The critical route is used to determine the most effective schedule while still achieving the objectives required for a project to be successful. The critical path indicates the longest time of every dependent task.It is possible to organize tasks and determine not only when they must be finished but also which ones must be performed and which ones can be skipped while still reaching the project's goals and objectives by creating a schedule. An arrow diagram is essential because of this. It results in the project's ideal schedule.To know more about the AOA and AON networks, here
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In the 30-60-90 triangle below, side s has a length of
length of
30
90°
S
60
OA. 16√3, 5
B. 4√2, 4√2
OC. 4, 4√3
OD. 8.5, 16
OE. 16√3, 16√3
OF. 4, 8√3
and side q has a
Answer:
4, 4√3
Step-by-step explanation:
In a 30-60-90 triangle:
The leg opposite of the 30-degree angle is 1/2 of the hypotenuse: 8/2 = 4
The longer leg is √3 times the shorter leg: 4*√3 = 4√3
Check work: 4^2+(4√3)^2 = 8^2 --> 16+48 = 64 --> 64 = 64
Zoe says an equilateral triangle is always an acute triangle, but an acute triangle is never an equilateral triangle. Which statement explains whether Zoe is correct or not?
A. Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
B. Zoe is not correct because equilateral triangles have three acute angles. Acute
triangles have three acute angles, so acute triangles are always equilateral triangles.
C. Zoe is correct because equilateral triangles have three sides of equal length, and acute triangles have three sides of different lengths.
D. Zoe is correct because equilateral triangles have three acute angles. Acute triangles have one acute angle, so an acute triangle cannot be an equilateral triangle.
HELP!
Answer:
Step-by-step explanation:
Discussion
She is correct.
An equilateral triangle is a specific acute triangle. An acute triangle can never be an equilateral triangle because it has 3 unequal angles. Your best choice is likely C, but none of the choices are first rate choices.
Answer: C
Find the surface area of the composite figure. Round to the nearest tenth if necessary.
By definition of surface area, the composite figure reports an area of 233.6 square centimeters.
How to calculate the surface area of a composite figure
In this question we need to determine the surface area of a composite figure, which is the sum of all the areas of the faces, which are combinations of triangles and quadrilaterals. Now we proceed to calculate the surface area:
A = 2 · (6 cm) · (3 cm) + 2 · (8 cm) · (6 cm) + 2 · (8 cm) · (3.6 cm) + 2 · (8 cm) · (2 cm) + 4 · (1/2) · (3 cm) · (2 cm)
A = 233.6 cm²
By definition of surface area, the composite figure reports an area of 233.6 square centimeters.
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Students in a ninth grade class measured their heights, h, in centimeters. The height of the shortest student was 155 cm, and the height of the tallest student was 190 cm. Which inequality represents the range of heights?
A. h > 155 or h < 190
B. 155 ≤ h ≤ 190
C. 155 < h < 190
D. h ≥ 155 or h ≤ 190
Answer:
a h>155 or h<190
Step-by-step explanation:
The height of the shortest student is 155 cm and the height of the tallest student is 190 cm, then the inequality shows the range is 155 ≤ h ≤ 190. Hence, option B is correct.
What is an inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the provided data in the question,
The height of the shortest student is 155 cm and,
The height of the tallest student is 190 cm.
It means that the height rage is starting from 155 cm and ending at 190 cm.
The shortest height should be at least equal to 155 cm and the greater height is maximum 190 cm.
Therefore, the inequality according to this is 155 ≤ h ≤ 190.
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In the diagram AB/BC = AD/DE
Substitute the known values into the proportion and solve for DE
Answer: 9
Step-by-step explanation:
[tex]\frac{2}[3}=\frac{6}{DE}\\\\\frac{3}{2}=\frac{DE}{6}\\\\DE=9[/tex]
Richard is able to read 40 pages in 100 minutes the reading speed of James is ____ pages per minute
Answer:
0.4 pages per minute
Step-by-step explanation:
40/100 = .4
Does The slopes of parallel lines have a product of -1.
Answer:
No. The slopes of parallel lines are equal.
Step-by-step explanation:
If you have two lines and their slopes are the same, then the lines are parallel.
If the two lines have slopes that are negative reciprocals (opposite signs and flipped over) then when you multiply the slopes together, you get -1... THOSE lines are perpendicular (they make right angles or make 90° angles or square angles).
Lines in the same plane that have different slopes will intersect at one point.
Which of the following are like terms?
3x and 5x²
4xy and 2x²y
6x and -3x
7x and 7y
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each scenario with its effect on the PPC.
These are the effect on the PPC
1st pairs with a point original to PPC. and 2nd pairs with PPC shifts to the left. and 3rd pair with PPC shifts to the right.
According to the statement
we have given the some conditions and we have to match the each scenario with the effect of the PPC.
So, The given effect on the tiles are Tiles
- the PPC shifts to the right
- the PPC shifts to the left
- a point on the original PPC
- a point inside the PPC
- a point outside the PPC
And we have to join it with its pairs.
So,
First :
A manufacturing unit uses all its resources efficiently = A point on the original PPC
Second :
Andrew has 5 hours to complete his homework but uses only 3 hours, so he doesn’t complete it. = The PPC shifts to the left
Third :
A country acquires part of its neighboring country = The PPC shifts to the right
These are the conditions that satisfy the effect of PPC.
So, These are the effect on the PPC
1st pairs with a point original to PPC. and 2nd pairs with PPC shifts to the left. and 3rd pair with PPC shifts to the right.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
Match each scenario with its effect on the PPC.
Tiles
- the PPC shifts to the right
- the PPC shifts to the left
- a point on the original PPC
- a point inside the PPC
- a point outside the PPC
Pairs
- A manufacturing unit uses all its
resources efficiently.
- Andrew has 5 hours to complete his
homework but uses only 3 hours, so
he doesn’t complete it.
- A country acquires part of its neighboring
country.
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^it doesn't need to be this complicated
URGENT!!! Write a compound interest function to model the following situation. Then, find the balance after the given number of years.
Answer:
The answer to our question is A = 16,100(1.001)12t; $17,510
Step-by-step explanation:
I hope this helps and have a good day!
PLEASE HELP URGENT!!!
From-
~xXIndieKidXx~
Answer:
C. 9
Step-by-step explanation:
The cubed root of 729 is the number that is multiplied 3 times to get 729. In this case, it's 9.
9*9*9 = 81*9
81*9 = 729
Evaluate 3x for x = -2, x = 1, and x = 3.
A) 1/9, 3,27
B) ¹/3, 0, 9
C) 9,3, 27
D) 1/9, 9, 27
Answer:
A) 1/9, 3, 27
Step-by-step explanation:
i think you mean 3^x (and not 3x).
because otherwise none of the answer options withdraw makes any sense.
3^-2 = 1/(3²) = 1/9
3¹ = 3
3³ = 27
11. Find the slope of the line that passes through the pair of points. (1, 7), (10, 1)
Answer:
m = [tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{1-7}{10-1}[/tex]
m = [tex]\frac{-6}{9}[/tex]
m = [tex]-\frac{2}{3}[/tex]
Answer:
-2/3
Step-by-step explanation:
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (1 - 7)/(10 - 1)
slope = -6/9
slope = -2/3
Mamadou drove 168 miles in 8 hours. If he continued at the same rate, how long
would it take to travel 126 miles?
With the given rate Mamadou will take 6 hours to travel 126 miles.
What is Unitary method ?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
The distance travelled in 8 hours is 168 miles.
In order to calculate time for 126 miles, unitary method can be used as,
The time for 168 miles is 8 hours.
Then, the time for 1 mile is 8/168 hours.
Thus, the time for 126 mile is 8/168 × 126 = 6 hours.
Hence, the time taken by Mamadou to travel 126 miles is 6 hours.
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URGENT PLEASE ANSWER THESE QUESTIONS
a) The fire is out of the reach of helicopter 1.
b) Only helicopter 3 can be sent to stop the fire.
What helicopter does stop the fire?
We have both the location of the fire and the initial position of the three helicopters set on a Cartesian plane. The locations are listed below:
Fire - (x, y) = (- 3, - 5)Helicopter 1 - (x, y) = (1, 4)Helicopter 2 - (x, y) = (- 2, 3)Helicopter 3 - (x, y) = (4, - 2)The distance is found by the straight line distance formula, an application of Pythagorean theorem:
a) [tex]d = \sqrt{[1 - (- 3)]^{2}+[4-(-5)]^{2}}[/tex]
[tex]d = \sqrt{4^{2}+9^{2}}[/tex]
[tex]d = \sqrt{97}[/tex]
d ≈ 9.849
The fire is out of the reach of helicopter 1.
b) Helicopter 2
[tex]d = \sqrt{[- 2 - (- 3)]^{2}+[3 - (- 5)]^{2}}[/tex]
[tex]d = \sqrt{1^{2}+8^{2}}[/tex]
[tex]d = \sqrt{65}[/tex]
d ≈ 8.062
Helicopter 3
[tex]d = \sqrt{[4 - (- 3)]^{2}+ [- 2 - (-5)]^{2}}[/tex]
[tex]d = \sqrt{7^{2}+3^{2}}[/tex]
[tex]d = \sqrt{58}[/tex]
d ≈ 7.616
Only helicopter 3 can be sent to stop the fire.
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using a calculator, or otherwise,determine the value of(12.3)² - (0.246÷3) and write the answer
(i)exactly
(ii)correct to two significant figures
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Assuming the equation is:}[/tex]
[tex]\mathsf{(12.3)^2 - (0.246 \div 3)}[/tex]
[tex]\huge\textbf{If so, let's start simplifying it:}[/tex]
[tex]\mathsf{(12.3)^2 - (0.246 \div 3)}[/tex]
[tex]\mathsf{= (12.3\times 12.3) - (0.246 \div 3)}[/tex]
[tex]\mathsf{= (151.29) - (0.246 \div 3)}[/tex]
[tex]\mathsf{= 151.29 - 0.246 \div3}[/tex]
[tex]\mathsf{= 151.29 - 0.082}[/tex]
[tex]\mathsf{= 151.208}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\large\boxed{\mathsf{Exactly \rightarrow} \frak{\ 151.208\ } \& \textsf{ Corrected to two significant figures}\rightarrow \frak{150 \ or \ 151}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Agents J and K work in a long hallway with 4000 equally-spaced, consecutive offices. The agents decide to walk toward each other so they can meet and have lunch together. Agent J has recently been relocated from office 2013 to office 1. His former office neighbor, Agent K, is still in office 2014. Assuming that Agent J can walk at a rate of 25 offices per minute, and Agent K walks at 36 offices per minute, what office will they meet at if they leave at the same time
At office 826 they will meet if they leave at the same time.
How many offices are there between agents J and K?It is given that,
Agent J has recently been relocated from office 2013 to office 1. But his former office neighbor, Agent K is still in office 2014.
So, there are (2014 - 1) - 1 = 2012 offices in between them.
How much time is required for them to walk the whole distance?It is given that,
Agent J can walk at a rate of 25 offices per minute, and Agent K walks at 36 offices per minute.
So,
Per minute they cross
= 25 + 36
= 61 offices.
Thus, the time required for crossing all the 2012 offices is,
= 2012/61
= 32.9 ≅ 33 minutes
Then,
They will meet at
1 + 25(33) = 826 office (or)
2014 - 36(33) = 826 office (Negative since opposite direction)
Therefore, both of them meet at office 826.
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Need Help with this question
Answer:
23/35
Step-by-step explanation:
there's 12 red cards and 23 black cards
total = 35 cards
probability to pick a black card = 23/35
Answer: 23/35
Step-by-step explanation:
Probability is the measure of the likelihood of an event occurring. It is measured by the number of favorable outcomes over the total number of possible outcomes.
Here, the event is a black card being drawn. Since there are 12 + 23 = 35 cards in the deck, there are 35 possible outcomes of what card is picked. Out of those 35 cards, 23 are black, making 23 of the 35 options be the option we want.
23 black cards out of 35 total cards can also be written as [tex]\frac{23}{35}[/tex], which is the probability that a black card is chosen.
If joe travels 434 miles in 7 hours, how far will he travel in 10 hours at the same speed?
He travels 620miles at the same speed.
Given that joe travels 434 miles in 7 hours.
An object's speed is determined by how quickly it moves. It is the distance a body travels in one unit of time.
Firstly, we will find the speed when the distance is 434 miles and the time is 7 hours by using the formula
Speed=Distance/Time
Substitute the values in the formula, we get
Speed=434miles/7 hours
Speed=62 miles/hour
Now, we will find the distance when time is 10 hours, we get
62=distance/10
Multiply both sides by 10, and we get
62×10=(distance/10)×10
620miles=distance.
Hence, in 10 hours at the same speed, he travels when joe travels 434 miles in 7 hours is 620miles.
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5 roses in a vase 12 flowers what is the ratio of all flowers in the vase of daisies
The ratio of the total number of flowers in the vase, to the number of daisies in the vase is 12:7.
The number of flowers in the vase = 12 flowers
The number of roses in the vase = 5 roses.
Therefore, the number of daisies in the vase = The number of flowers in the vase - The number of roses in the vase,
or, the number of daisies in the vase = 12 - 5 = 7.
Thus, the number of daisies in the vase = 7.
We are asked to find the ratio of the total number of flowers in the vase, to the number of daisies in the vase.
Thus, the ratio = The number of flowers in the vase/The number of daisies in the vase,
or, the ratio = 12/ = 12:7.
Thus, the ratio of the total number of flowers in the vase, to the number of daisies in the vase is 12:7.
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find x and the measure of each side. Round to two decimal places, if necessary.
The values of the triangles are as follows:
x = 7 unitsGH = 21 unitsHI = 21 unitsGI = 12 unitsHow to find angles and side of a triangle?The triangle is an isosceles triangle because two sides and angles are equal. Therefore,
4x - 7 = 2x + 7
4x - 2x = 7 + 7
2x = 14
x = 14 / 2
x = 7 units
GH = 4(7) - 7 = 28 - 7 = 21
HI = 2(7) + 7 = 14 + 7 = 21
GI = 7 + 5 = 12
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