The angle of x in the given circle is 51 degrees.
What is theorem of secant and tangent line in circle?In the case when a tangent line and a secant line originate from the same external point, the mean of the exterior angle is equal to half the difference between the major arc and the minor arc that are created by the tangent and secant lines.
From the given figure we observe that the secant line and tangent line start from the same exterior angle.
Thus, according to the theorem of secant and tangent line of circle we have:
angle x = (DA - DB) /2
angle x = (178 - 76) / 2
angle x = 102 /2
angle x = 51 degrees.
Hence, the angle of x in the given circle is 51 degrees.
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DUE TOMORROW PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!!!
Here is the graph of a function describing the relationship between the height y, in feet, of the tip of a windmill blade and the angle of rotation Θ made by the blade. Describe the windmill.
However, it is important to note that without additional information about the function and the windmill itself, further conclusions about its design and performance cannot be made.
Hi! I'd be happy to help you describe the windmill based on the provided graph.The graph of the function represents the relationship between the height (y) of the tip of a windmill blade and the angle of rotation (Θ) made by the blade. This function is periodic, indicating that the windmill blade follows a repetitive motion as it rotates.
The height of the blade tip varies sinusoidally with respect to the angle of rotation, suggesting that the windmill has a circular or rotational motion. The amplitude of the function gives the length of the windmill blade, while the period of the function represents a full rotation (360 degrees) of the windmill blade.
In summary, the windmill has a rotational motion, with the height of the blade tip following a sinusoidal pattern. The length of the windmill blade and the time it takes to complete a full rotation can be determined by analyzing the amplitude and period of the function.
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1 7/8 hours every wednesday
2 3/8 hours every friday
What is total number of hours?
The total number of hours is 30 hours as the sum of 7/8 and 3/8 comes out to be 30 hours.
1) We know that there is a total of 24 hours in a day.
therefore, 7/8 hours of Wednesday =
number of hours in a day = 24
number of hours every Wednesday = 7/8
= 7/8 x 24 hours
= 7 x 3 hours
= 21 hours
7/8 hours every Wednesday means 21 hours every Wednesday.
2) We know that there are a total of 24 hours in a day;
therefore, 3/8 hours of Friday =
number of hours in a day = 24
number of hours every Friday = 3/8
= 3/8 x 24 hours
= 3 x 3 hours
= 9 hours
3/8 hours every Friday means 9 hours every Friday.
therefore, the total number of hours = 21 + 9 = 30
The total number of hours is 30 hours as the sum of 7/8 and 3/8 comes out to be 30 hours.
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coupling tetraalkylammonium and ethylene glycol ether side chain to enable highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery
Coupling tetraalkylammonium and ethylene glycol ether side chain is an effective method to enable highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery. The side chains of the tetraalkylammonium are modified with the ethylene glycol ether, which is a highly polar solvent, allowing for better solubility in nonaqueous electrolyte solutions. Additionally, the ethylene glycol ether has the ability to modify the stability of the ionic species, preventing aggregation and ensuring the longevity of the battery. This increases the redox capacity and enhances the performance of the flow battery.
The ethylene glycol ether-tetraalkylammonium coupling has been proven to be an effective method for improving the solubility and stability of anthraquinone-based ionic species. For example, it has been observed that the coupling of ethylene glycol ether to anthraquinone-based ionic species enhanced the current density of the battery by more than 3 times. Furthermore, the coupling process has also been found to improve the energy efficiency and storage capacity of the nonaqueous redox flow battery.
Overall, coupling tetraalkylammonium and ethylene glycol ether side chain is an effective method for enabling highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery. This process has been proven to improve the performance of the battery, including current density, energy efficiency, and storage capacity.
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If the width and length of a rectangle is 3 by 8 what is the width and length actually if the width is 10. 5
The new length of the rectangle is approximately 2.29 units. We use the formula for the area of a rectangle to solve for the new length, given the new width.
If the width and length of a rectangle are 3 and 8, respectively, and the width is increased to 10.5, we can calculate the new length of the rectangle using the formula for the area of a rectangle, which is length multiplied by width.
The original area of the rectangle is 3 x 8 = 24 square units. If we increase the width to 10.5, the new area of the rectangle becomes: 10.5 x length = 24 Solving for the length, we get: length = 24/10.5 = 2.29 (rounded to two decimal places)
It's important to note that changing one dimension of a rectangle can affect the other dimension, especially if we want to maintain the same area.
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For the given figure, can you conclude mlln? Explain.
A particle of mass 1. 2 kg is moving with speed of 8 ms inn a straight line on a horizontal table. A resistance force is app. Lied to the particle in the direction of the motion. The magnitude of the force is proportional to the square of the speed, ao that F=0,3v^2
The speed of the particle is 8 m/s, the force of resistance is [tex]0.3(8)^2[/tex], or 19.2 N.
A particle of mass 1.2 kg is moving with a speed of 8 m/s in a straight line on a horizontal table. A resistance force is applied to the particle in the direction of the motion. The magnitude of the force is proportional to the square of the speed, such that [tex]F=0.3v^2[/tex]
The force of resistance is an opposing force that acts to reduce the speed of the particle. As the particle moves faster, the resistance force increases. The force is proportional to the square of the speed, meaning that if the speed doubles, the force is multiplied by four. The force is also in the same direction as the motion, meaning that it will reduce the speed of the particle.
The equation for the force of resistance is [tex]F=0.3v^2[/tex], where v is the speed of the particle. Therefore, if the speed of the particle is 8 m/s, the force of resistance is [tex]0.3(8)^2,[/tex] or 19.2 N. This means that the force of resistance acting on the particle is 19.2 N.
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Help Please
m-6=50
i need to find the value of m
please urgent
Answer:
m = 50 + 6
m= 56
lol easy ques
This one is easy. All you have to do is add 6 to both sides to get the value of m
m-6=50
m=50+6
m=56
A circle with radius of 2 cm sits inside a circle with of 4 cm
Answer:
Diameter is equal to twice the radius. Given, radius is 4 cm. Diameter = 2(4) = 8 cm. Hence, diameter of the circle with radius as 4 cm is 8 cm.
Step-by-step explanation:
please
give brianliest
Answer: Area = 0
Step-by-step explanation:
((2*2)*3.14)-(4*3.14) = 0
suppose you have 4 pairs of socks and 4 pairs of shoes. if you can wear any combination of socks and shoes, including mismatched pairs, how many different possible footwear choices can you make
There are a total of 32 different possible footwear choices that we can make.
Given, The number of pairs of socks = 4
The number of pairs of shoes = 4
We are to find out the number of possible footwear choices we can make if we can wear any combination of socks and shoes, including mismatched pairs.
So, We can wear any pair of socks with any pair of shoes including a mismatch.
Thus, for each pair of socks, there are 4 possible pairs of shoes.
And for each pair of shoes, there are 4 possible pairs of socks.
Therefore, we can form,
Total number of possible footwear choices = 4 pairs of socks * 4 pairs of shoes * 2 (considering the case of mismatched pairs) = 32 pairs.
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WILL GIVE BRIANLIAT TO BEST ABWWER
The graph of an exponential of the form y = ab contains the points (2, 60) and (4, 960). What are the values of a and b
Answer:
(15/4)4^x
Step-by-step explanation:
Substituting the x and y values of the first point, we get:
y = ab
60 = ab^(2)
Substituting the x and y values of the second point, we get:
y = ab
960 = ab^(4)
Now we can solve for a and b by eliminating one of the variables. One way to do this is to divide the second equation by the first equation:
960/60 = (ab^(4))/(ab^(2))
16 = b^(2)
Taking the square root of both sides, we get:
b = ±4
Since an exponential function can only have positive values for b, we choose b = 4. Now we can solve for a by substituting b = 4 into one of the original equations:
60 = a(4^(2))
60 = 16a
a = 60/16
a = 15/4
Therefore, the values of a and b are a = 15/4 and b = 4, and the exponential function is y = (15/4)4^x.
5 cards are drawn randomly from a regular deck of cards. how many ways can you draw 5 cards and get 4 hearts and 1 spade?
Answer:
There are 13 hearts in a deck of cards, so the probability of drawing a heart on the first draw is 13/52. After the first heart is drawn, there are 12 hearts left in the deck out of a total of 51 cards, so the probability of drawing another heart is 12/51. This process continues until we have drawn 4 hearts and 1 spade. Therefore, the total number of ways to draw 5 cards with 4 hearts and 1 spade is:
(13/52) x (12/51) x (11/50) x (10/49) x (13/48) x 5!
The factor of 5! accounts for the fact that the 5 cards can be drawn in any order. Simplifying the expression above, we get:
(13/52) x (12/51) x (11/50) x (10/49) x (13/48) x 120 = 0.000495 or approximately 1 in 2,020 ways.
Therefore, there are approximately 2020 ways to draw 5 cards from a regular deck of cards and get 4 hearts and 1 spade.
There are 54,145,200 ways to draw 5 cards and get 4 hearts and 1 spade from a regular deck of cards.
There are 13 hearts in a deck of cards, so the probability of drawing a heart on the first draw is 13/52 or 1/4. The probability of drawing another heart on the second draw, given that one heart has already been drawn, is 12/51. The same goes for the third and fourth draws. The probability of drawing a spade on the fifth draw is 13/50.
To calculate the number of ways to draw 4 hearts and 1 spade, we need to multiply the number of ways to choose 4 hearts from 13 (13 choose 4 or 715) by the number of ways to choose 1 spade from 13 (13 choose 1 or 13) and then multiply that by the number of ways to arrange those 5 cards (5!). So, the total number of ways is:
715 * 13 * 5! = 54,145,200
Therefore, there are 54,145,200 ways to draw 5 cards and get 4 hearts and 1 spade from a regular deck of cards.
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Find the x- and y-intercepts of the function f(x) = log(2x + 1) − 1.
The x-intercept of the function f(x) = log(2x + 1) − 1 is
. Its y-intercept is
The x-intercept is (4.5, 0) and y-intercept is (0, -1) for the given function.
What are intercepts ?
Intercepts are the points at which a curve intersects with the x-axis and y-axis on a coordinate plane. The x-intercept is the point where the curve intersects with the x-axis, and its y-coordinate is zero. The y-intercept is the point where the curve intersects with the y-axis, and its x-coordinate is zero. The intercepts provide useful information about the behavior and properties of a curve, such as its roots and symmetry.
According to the question:
To find the x-intercept, we need to set y = 0 and solve for x:
[tex]0 = log(2x + 1) - 11 = log(2x + 1)10 = 2x + 19 = 2xx = 4.5[/tex]
Therefore, the x-intercept is (4.5, 0).
To find the y-intercept, we need to set x = 0 and evaluate the function:
[tex]f(0) = log(2(0) + 1) - 1[/tex]
= 0 - 1[tex]= log(1) - 1[/tex]
= -1
Therefore, the y-intercept is (0, -1).
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alexis puts dimes and quarters aside for the parking meter. she has a total of 20 coins and they are worth $3.80. how many quarters does alexis have?
Alexis has 12 quarters and 8 dimes.
Let's use d to represent the number of dimes and q to represent the number of quarters. We know that Alexis has a total of 20 coins, so d + q = 20.
We also know that the value of these coins is $3.80. Since dimes are worth $0.10 and quarters are worth $0.25, we can write an equation for the total value in cents:
10d + 25q = 380
To make things easier, let's divide both sides of the equation by 5:
2d + 5q = 76
Now we can use the first equation to solve for d in terms of q:
d + q = 20
d = 20 - q
Substituting this into the second equation gives:
2(20 - q) + 5q = 76
Expanding the parentheses and simplifying, we get:
40 - 2q + 5q = 76
3q = 36
q = 12
Therefore, Alexis has 12 quarters. We can check this by plugging q back into the first equation to find that she has 8 dimes as well:
d + q = 20
d + 12 = 20
d = 8
The total value of 12 quarters and 8 dimes is:
12 quarters x $0.25 per quarter + 8 dimes x $0.10 per dime = $3.00 + $0.80 = $3.80
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Find the missing of dimension of the cone. Round you answer to the nearest tenth. Volume=13. 4m³
Radius=3. 2m
Height=h
The missing dimension of the cone is its height, which is approximately 2.5 m when rounded to the nearest tenth.
We can use the formula for the volume of a cone, which is:
Volume = (1/3)πr²h
where r is the radius of the base and h is the height of the cone.
We are given the volume of the cone as 13.4 m³ and the radius as 3.2 m. Substituting these values into the formula, we get:
13.4 = (1/3)π(3.2)²h
Multiplying both sides by 3 and dividing by π(3.2)², we get:
h = 3 × 13.4 / π(3.2)²
h ≈ 2.5 m
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as a television executive, you have been given 24 shows to choose from to run during your prime time slots each week. if you have to choose 16 shows to run on your network, how many ways can you choose which shows to pick up?
As per the combination concept, there are 735,471 ways to choose 16 shows from a set of 24.
To find the number of ways to choose 16 shows from a set of 24, we can use the formula for combinations, which is:
ⁿCₓ = n! / x!(n-x)!
Where n is the total number of objects in the set (in this case, 24), and x is the number of objects we want to choose (in this case, 16). The exclamation mark (!) denotes the factorial function, which means multiplying the number by all positive integers less than itself.
Plugging in the numbers, we get:
²⁴C₁₆ = 24! / 16!(24-16)! = 735471
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miguel went to a movie theater and bought a large bag of popcorn that cost $10.49. to avoid spending too much money in all, he determined that he could spend up to $5.51 on a drink. let x represent how much money miguel wanted to spend in all. which inequality describes the problem?
The inequality that represents Miguel's spending limit is $16.00 ≤ x.
Let x represent the total amount of money Miguel wants to spend. We know he spent $10.49 on popcorn and can spend up to $5.51 on a drink.
To find the inequality, we can add these two amounts together and set it less than or equal to x, since x represents the maximum amount he wants to spend. Mathematically, we can write:
$10.49 + $5.51 ≤ x
Simplifying this inequality, we get:
$16.00 ≤ x
This means that Miguel can spend up to $16.00 in total on the popcorn and drink combined. If he spends more than $16.00, he will have exceeded his limit.
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Layla makes necklaces to sell online. she spends $46 on supplies at the first store and then $30 at the second store. she press to make a necklaces and sell each necklace at a markup of 75%. how much will she charge for each necklace?
a)12.55
b)1663
c)28.45
d)133.04
Answer:
Step-by-step explanation:
First, we need to determine the cost of making one necklace.
The total cost of supplies is $46 + $30 = $76.
If she makes one necklace, that cost is divided by one, so the cost of making one necklace is $76.
To find the selling price, we need to add a markup of 75%.
Markup = 75% x Cost = 0.75 x $76 = $57
The selling price will be the cost plus the markup:
Selling price = Cost + Markup = $76 + $57 = $133.
Therefore, Layla should charge $133 for each necklace.
The answer is d) 133.04, although it should be rounded to the nearest cent, so the final answer would be $133.
Ronaldo's family drove four and 6/10 killer meters from their house to get to the gas station they drove 2 and 30/100 km from the gas station to the store which expression can be used to determine the number of kilograms Ronaldo's family drove to get all together
Ronaldo's family drove a total of 6.90 kilometres to get from their house to the store.
What expression used to determine number of kilograms?To determine the total distance Ronaldo's family drove, we need to add the distance from their house to the gas station and the distance from the gas station to the store. We can write this as:
[tex]4 6/10 km + 2 30/100 km[/tex]
To add these two distances, we need to find a common denominator for the fractions. The smallest common denominator for 10 and 100 is 100, so we can convert the first distance to an equivalent fraction with a denominator of 100:
[tex]4 6/10 km = 4 60/100 km = 4.60 km[/tex]
Then we can add the two distances:
[tex]4.60 km + 2.30 km = 6.90 km[/tex]
Therefore, Ronaldo's family drove a total of 6.90 kilometres to get from their house to the store.
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Consider the system of equations
below. What is the solution of the
system?
y=4x-8
4x + 2y = 20
Answer:
x = 3, y = 4
Step-by-step explanation:
Substitute 4x - 8 in for y and then solve for x:
4x + 2(4x - 8) = 20
Then, 4x + 8x - 16 = 20 --> 12x = 36 --> x = 3.
Once you have x, you can solve for y.
y = 4x - 8 = 4(3) - 8 = 12 - 8 = 4
So, x = 3, y = 4
What is the volume of the cone expressed in terms of pi?
Bennie is calculating the density of books in a box. He knows the number of books in the box and the volume of the box. Which of the following formulas can be used to calculate the density of books in the box? Density = number of books over volume of box Density = volume of box over number of books Volume of shelf = density over number of books Number of books = density over volume of box
Answer:
Density = number of books over volume of box
Step-by-step explanation:
The formula that can be used to calculate the density of books in the box is:
Density = number of books / volume of box
This formula relates the number of books in the box to the volume of the box, and calculates the density of books per unit volume.Therefore, the correct formula to calculate the density of books in the box is the first one given in the options:
Density = number of books over volume of box
Answer:
Density = number of books over volume of box
Step-by-step explanation:
4. Which of the following is the square of a binomial?
A. r² - 2rs +s²
B. c² + d²
C. 16x² - 25y²
D. d² - de + e²
The correct answer is (A) r² - 2rs +s² which is a square of a Binomial.
What exactly are binomials?
In algebra, a binomial is a polynomial which consists of two terms. The terms may be separated by a plus or minus sign. The general form of a binomial is:
ax + b
where "a" and "b" are constants and "x" is the variable. A binomial can be added, subtracted, multiplied, and divided using algebraic operations. Binomials are commonly used in algebra to represent and solve problems involving two quantities or variables.
Now,
The correct answer is (A) r² - 2rs +s².
This is a perfect square trinomial, which can be written as (r - s)².
Option (B) c² + d² is not a binomial, it is the sum of two squares.
Option (C) 16x² - 25y² is a difference of two squares, which can be written as (4x + 5y)(4x - 5y).
Option (D) d² - de + e² is also a perfect square trinomial, but it cannot be written as the square of a binomial.
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Find the volume of a right circular cone that has a height of 20 ft and a base with a radius of 18 ft. Round your answer to the nearest tenth of a cubic foot
Answer:
The answer should be 20,365.714 but I am not sure
Step-by-step explanation:
in general, which point size would you use if you wanted each character to be approximately one inch in size? a.) 1 pt b.) 72 pts c.) 24 pts d.) 36 pts
If you want each character to be approximately one inch in size, you would use a point size of 72 pts.
Point size is a unit of measurement used to determine the size of typefaces. It represents the height of the characters in a font. One point is equal to 1/72 of an inch, which means there are 72 points in one inch.
Therefore, if you want each character to be approximately one inch in size, you would need to use a font size of 72 points. This would ensure that the characters are roughly one inch tall, assuming that the font is designed to be proportional and not condensed or expanded.
Choosing a smaller point size, such as 1 pt or 24 pts, would result in characters that are much smaller than one inch. Choosing a larger point size, such as 36 pts, would result in characters that are larger than one inch.
Therefore the correct answer is option b.) 72 pts.
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What are the integer solutions to the inequality below?
−
1
≤
x
≤
3
Answer:
i don't know i haven't done integers in a long time
Step-by-step explanation:
An environmental agency frequently samples the water in a region to ensure that the levels of a certain contaminant do not exceed 30 parts per billion (ppb). From 12 randomly selected samples of the water, the agency constructed the 99 percent confidence interval (22.5, 28.7). Assuming all conditions for inference are met, which of the following is a correct interpretation of the interval? A For all water in the region, 99 percent of the water contains a level of the contaminant between 22.5 ppb and 28.7 ppb. B We are 99 percent confident that the mean level of the contaminant in the sample is between 22.5 ppb and 28.7 ppb. We are 99 percent confident that the mean level of the contaminant in all the water in the region is between 22.5 ppb and 28.7 ppb. D There is a 0.99 probability that the mean level of the contaminant in the sample is between 22.5 ppb and 28.7 ppb. E There is a 0.99 probability that the mean level of the contaminant in all the water in the region is between 22.5 ppb and 28.7 ppb.
The correct interpretation of the 99 percent confidence interval (22.5, 28.7) is B: We are 99 percent confident that the mean level of the contaminant in the sample is between 22.5 ppb and 28.7 ppb.
This does not indicate that the mean level of the contaminant in all the water in the region is necessarily between 22.5 ppb and 28.7 ppb.
Confidence intervals provide an estimate of the population mean based on a sample. In other words, they indicate the range of values that are likely to include the true mean of the population. Therefore, the interval (22.5, 28.7) indicates that we are 99 percent confident that the mean of the sample (which is used to estimate the true population mean) lies between 22.5 ppb and 28.7 ppb. However, this does not guarantee that the true population mean (i.e., the mean of all the water in the region) lies between 22.5 ppb and 28.7 ppb.
The other answers are incorrect because they do not reflect the fact that the interval provides an estimate of the population mean based on a sample.
Answer A is incorrect because it states that all of the water in the region must contain a level of the contaminant between 22.5 ppb and 28.7 ppb, which is not necessarily true.
Answer D is incorrect because it states that there is a 0.99 probability that the mean of the sample is between 22.5 ppb and 28.7 ppb, when in reality the interval indicates that we are 99 percent confident that the mean of the sample is between 22.5 ppb and 28.7 ppb. Finally,
Answer E is incorrect because it states that there is a 0.99 probability that the true population mean (i.e., the mean of all the water in the region) is between 22.5 ppb and 28.7 ppb, which is not necessarily true.
In summary, the correct interpretation of the 99 percent confidence interval (22.5, 28.7) is that we are 99 percent confident that the mean level of the contaminant in the sample is between 22.5 ppb and 28.7 ppb.
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the doctor has ordered 1.25 mg/kg of a medication im. it the patient weighs 175 lbs. the drug on hand is available is a vial with 100 mg/2ml. (1) how many mg will be given? (2) calculate the amount to be injected.
1. The amount of medication to be given is 99.25 mg.
2.The amount of 1.985 mL medication should be injected.
To answer the given question, let's follow the steps mentioned below.
Determine the amount of medication to be given:1. Convert the weight of the patient from pounds to kilograms.
175 pounds = 79.4 kilograms
2. Multiply the patient's weight in kilograms by the ordered dosage.
1.25 mg/kg × 79.4 kg = 99.25 mg
Therefore, 99.25 mg of medication is required
Calculate the amount to be injected1. Find the number of milliliters (mL) required to deliver the medication dosage.
The concentration of the drug is 100 mg/2 mL.
100 mg/2 mL ÷ 1 = 50 mg/m
2. Divide the total amount of medication required by the concentration of the drug.
99.25 mg ÷ 50 mg/mL = 1.985 mL
Therefore, 1.985 mL of the medication should be injected.
Note:
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A plane ticket to Barcelona cost £175 the price decreases by 6% work out the new price of the plane ticket
Answer:
£164.50
Step-by-step explanation:
If the discount is 6%, then the discounted price is 94% of the original price.
95% of £175 = 0.94 × £175 = £164.50
i need help on all of this
Answer: 1 1/12
Step-by-step explanation:
so you would subtract 2-1=1
Then you do 1/3-1/4=1/12
The answer would be 1 1/12
UR WELCOME
help please image attached
The first inequality -4 ≤ x ≤ 3 represents the values of x that fall between the two vertical lines, while the second inequality 1 ≤ y ≤ 6 represents the values of y that fall between the two horizontal lines.
Describe Inequality?An inequality is a mathematical statement that compares two quantities or expressions using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to).
Inequalities can involve variables or constants, and can be expressed in one variable or multiple variables. The solution to an inequality is the set of values that satisfy the inequality.
For example, the inequality 2x + 3 > 7 is true for values of x that are greater than 2, since if we substitute x = 2, we get 2(2) + 3 = 7, which is not greater than 7. On the other hand, if we substitute x = 3, we get 2(3) + 3 = 9, which is greater than 7, so the inequality is true for x > 2.
Inequalities have many applications in mathematics and other fields, such as economics, physics, and engineering. They are used to represent constraints in optimization problems, to model relationships between variables, and to describe ranges of possible values for a quantity or variable.
To determine the double inequalities that define the shaded region, we need to find the equations of the two boundary lines that form the sides of the shaded region.
The two vertical lines are x=-4 and x=3. The two horizontal lines are y=1 and y=6.
The shaded region is enclosed by these four lines, so the double inequalities that define it are:
-4 ≤ x ≤ 3 and 1 ≤ y ≤ 6
The first inequality -4 ≤ x ≤ 3 represents the values of x that fall between the two vertical lines, while the second inequality 1 ≤ y ≤ 6 represents the values of y that fall between the two horizontal lines. Together, they define the rectangular shaded region with vertices (-4,1), (-4,6), (3,6), and (3,1).
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