The solution of the system of equations is
x = 1/2 and y = -2What are system of equations?A system of equations are a pair of equations.
How to solve the system of equations?Given the system of equations
4/x - 2/y = 12 (1) and
5/x + 1/y = 8 (2)
We proceed to solve as follows.
Since we have
4/x - 2/y = 12 (1) and
5/x + 1/y = 8 (2)
Multiplying equation (1) by 1 and equation (2) by 2, we have that
4/x - 2/y = 12 (1) × 1 and
5/x + 1/y = 8 (2) × 2
4/x - 2/y = 12 (4) and
10/x + 2/y = 16 (5)
Now, adding equations (4) and (5), we have that
4/x - 2/y = 12 (4)
+
10/x + 2/y = 16 (5)
14/x = 28
14 = 28x
x = 14/28
x = 1/2
Substituting x = 1/2 into equation (1), we have that
4/x - 2/y = 12 (1)
4/(1/2) - 2/y = 12 (1)
4 × 2 - 2y = 12
8 - 2y = 12
-2y = 12 - 8
-2y = 4
y = 4/-2
y = -2
So,
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What is the end behavior of the radical function represented by this graph? The graph shows the square root function. The function starts at the point (minus 3, 0) and extends upwards and to the right. Some major points on the graph are (0, 3), (2, 4), and (5, 5). A. As x decreases in value, decreases in value. As x increases in value, decreases in value. B. As x decreases in value, increases in value. As x increases in value, decreases in value. C. As x decreases in value, increases in value. As x increases in value, increases in value. D. As x decreases in value, decreases in value. As x increases in value, increases in value.
The value of Tan B rounded to the nearest hundredth is 0.01.
What is value?Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.
Tan B is a trigonometric ratio that is determined by the ratio of the side opposite an angle to the side adjacent to the angle. To find the value of Tan B, you need to know the angle measure (B) and the lengths of the two sides. For example, if the angle B is 45 degrees and the adjacent side is 8 cm and the opposite side is 8 cm, then Tan B = 8/8 = 1.
To round the value of Tan B to the nearest hundredth, we will use the rounding rule of "5 up". This means that any value that is greater than or equal to five will be rounded up, and any value that is less than five will be rounded down. In this case, Tan B is equal to 1 and is less than five, so it should be rounded down to 0.01. Therefore, the value of Tan B rounded to the nearest hundredth is 0.01.
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Graph the solution to the following system of inequalities.
y> 4x-3
y<-3x-7
Answer: its 5y >32
Step-by-step explanation:
The ramp is place from a ditch to a main road 2 feet above the ditch if a length of the ramp is 12ft how far away is the bottom of the ramp from the road
Answer:
See My Attached Work For Answer. (POV THIS WAS HARD!!!)
Step-by-step explanation:
Which of the following ordered pairs satisfies the equation y=2 (-2,2) (1,3) (6,0) (8,2) (1,5)
Answer:
Using the equation y = 2x, some ordered pairs are as follows (- 1, - 2), (0, 0), (1, 2), (2, 4), (3, 6).
Step-by-step explanation:
BY WAY UR GLY
Find the value of the expression. 8x^3 for x = –2, –1, 0, 3
Answer:
8(-2)^3= -64
8(-1)^3= -8
8(0)^3= 0
8(3)^3= 216
Hope this helps! Remember PEMDAS (Please forgive My Dear Aunt Sally)
Simplify the following expression. b²c 2d³f4 - 4d fl b[ ]c[] -2
The expression b²c²d³f⁴ - 4dfbc² when simplified is bdc²f(bd²f³ - 4)
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
b²c 2d³f4 - 4d fl b[ ]c[] -2
Express properly
So, we have the following representation
b²c²d³f⁴ - 4dfbc²
Factor out dc² from the expression
So, we have the following representation
b²c²d³f⁴ - 4dfbc² = dc²(b²d²f⁴ - 4fb)
Factor out f from the expression
So, we have the following representation
b²c²d³f⁴ - 4dfbc² = dc²f(b²d²f³ - 4b)
Factor out b from the expression
So, we have the following representation
b²c²d³f⁴ - 4dfbc² = bdc²f(bd²f³ - 4)
Hence, the expression is bdc²f(bd²f³ - 4)
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7. According to new research in 2021, Puerto Rican Reggaeton star Bad Bunny again took the title of
most-streamed artist in the world on Spotify. He received over 9.1 billion streams (9, 100, 000, 000)
without releasing a new album last year.
Use this number of streams with your equation to calculate how much money Bad Bunny may have
made via Spotify. (Worlds Most Streamed Songs (Spotify), 2021)
The requried, Bad Bunny may have made around $34.6 million from his 9.1 billion streams on Spotify in 2021.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As of 2021, Spotify's average payout per stream is about $0.0038, which means that an artist earns approximately 0.38 cents per stream.
So, to calculate Bad Bunny's potential earnings from 9.1 billion streams on Spotify, we can use the following equation:
Earnings = Number of Streams x Payout per Stream
Earnings = 9,100,000,000 x $0.0038
Earnings = $34,580,000
Therefore, based on this rough estimate, Bad Bunny may have made around $34.6 million from his 9.1 billion streams on Spotify in 2021. It's important to note that this is just an estimate and that the actual amount he earned could be higher or lower depending on the factors mentioned earlier.
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For glass to be shaped, its temperature must stay above 1200°F. The temperature of a piece of glass is 2200°F when it comes out of the furnace. The table below shows temperature readings for the glass. Write an exponential model for this data set and then find the temperature of the glass after 35 minutes.
The total temperature change over the 5 day period is - 16°F
What is tempreture?Temperature is a measure of how hot or cold and object or environment is. It is measured in degree on the calcium where you need or kelvin scale different objects and environment have different temperature.
The total change in temperature over the 5 day period is the products of to the mean temperatures and the numbers of days which gives a value of - 16°F
Mean temperature = - 3.2°F
Number of days = 5
Total change = mean temperature × Number of days
The total temperatures change can be calculated thus :
(-3.2) × 5 = - 16°F
Therefore, the total temperature changes over the 5 day period is - 16°F
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The curved edge of the door mat below is half an ellipse, a "semi-ellipse". As shown in the figure below, the flat edge of the door mat measures 148 cm and the distance from the center (on the flat edge) to the curved edge is 58 cm. The point P is located 30 cm from the center. Find the distance from P to the curved edge.
To find the distance from point P to the curved edge of the door mat, we can use the formula for an ellipse: (x/a)^2 + (y/b)^2 = 1, where a is the semi-major axis (half the length of the flat edge) and b is the semi-minor axis (half the length of the curved edge).
In this case, a = 148/2 = 74 cm and b = 58 cm. The point P is located 30 cm from the center, so x = 30 cm. We can plug these values into the formula and solve for y:
(30/74)^2 + (y/58)^2 = 1
0.1649 + (y/58)^2 = 1
(y/58)^2 = 0.8351
y^2 = 2805.72
y = sqrt(2805.72)
y = 52.97 cm
Therefore, the distance from point P to the curved edge of the door mat is approximately 52.97 cm.
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Let Y be a Binomial variable counting the number of successes in
120 independent trials where the probability of success at each trial is
0.52; that is, Y~Bin(120,0.52).
Use the pbinom function in R to find P(60 < Y ≤ 70), giving your answer to three decimal places.
The answer is 0.294. This can be found by using the pbinom function in R.
What is function?Function is the process or state of instruction that text inputs performance is specific tax and produce an output functional key components of programming language allowing the quarters to create complex commands with simple instruction for example a function can be used to add two numbers round together or to generate a random number function can also be combined to create more complex sequence of instruction.
This function calculates the cumulative probability of a binomial variable from 0 to a certain value. In this case, the probability of Y being greater than or equal to 60 and less than or equal to 70 is 0.294.
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For the 12-km-long Bridge Run, officials set up a water table every 600 meters, starting at the start line. How many water tables are set up for the Bridge Run?
Answer:
Step-by-step explanation:
To determine the number of water tables set up for the Bridge Run, we need to divide the total length of the run by the distance between the water tables.
The total length of the run is given as 12 km.
The distance between the water tables is 600 meters.
To convert the units, we can express the total length of the run in meters:
12 km = 12,000 meters
Now we can divide the total length of the run by the distance between the water tables:
12,000 meters ÷ 600 meters = 20
So there are 20 water tables set up for the Bridge Run.
In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above the average sea level. After 6 hours pass, the low tide occurs at 6 feet below the average sea level. In this task, you will model this occurrence using a trigonometric function by using x as a measurement of time. Assume the first high tide occurs at x = 0.
Determine these key features of the function that models the tide:
1.amplitude
2.period
3.frequency
4.midline
5.vertical shift
6.phase shift
Answer:
1. The amplitude of the function is 12 feet, since it moves from 6 feet above to 6 feet below the average sea level.
2. The period of the function is 12 hours, since it takes 12 hours for the tide to go from high to low and back again.
3. The frequency of the function is 0.5 (1/12), since it takes 12 hours for the function to repeat itself.
4. The midline of the function is the average sea level.
5. There is no vertical shift.
6. The phase shift is 0, since the first high tide occurs at x = 0.
Solve for x.
5/25=9/(x+4)
Answer: x = 41
For x in the equation
5/25=9/(x+4)
5(x+4) =9(25)
5x + 20 = 225
5x = 205
x = 41
Therefore, the value of x for the equation 5/25=9/(x+4) is x = 41
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Which of the following functions is graphed below?
20
15
10.
-10-
-15-
-20
OA. y - x² +3,x>1
x+6, x≤ 1
OB. y-
√x² +3, x < 1
x+6, 21
OC. y.x²+3,x≤1
x+6, x>1
The equation of the graphed function is y = x + 4, x ≥ 4 and y = x² + 3, x < 4
How to determine the equation of the graphed functionA similar question is added as an attachment
From the attached, we can see that the function types are:
Linear functionQuadratic functionBased on the list of options, we have:
Linear function: y = x + 4Quadratic function: y = x² + 3Next, we look at the intervals (domain)
The domain of the linear function is x ≥ 4 because the values start from 4 (inclusive) and increases to the rightThe domain of the quadratic function is x < 4 because the values start from infinity and ends at 4 (exclusive)Read more about piecewise function at
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Which of these is a proposition?
A. Aristotle was born in norther Greece.
B. Will you be coming to the party?
C. x + 3 = 7
D. Go to bed!
The proposition in this set of options is:
A. Aristotle was born in northern Greece.
What is Proposition ?A proposition is a key idea in philosophy of language and related disciplines, and it is frequently referred to as the main carrier of truth or untruth. The kind of object that declarative sentences signify is another way that propositions are frequently described. The statement "The sky is blue," for example, expresses the idea that the sky is blue.
A proposition is a statement that can either be true or false. Therefore, the proposition in this set of options is:
A. Aristotle was born in northern Greece.
This is a proposition because it is a statement that can be evaluated as true or false. The other options are not propositions:
B. This is a question and not a statement, so it is not a proposition.
C. This is an equation, not a statement, so it is not a proposition.
D. This is a command, not a statement, so it is not a proposition.
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PRE-CALCULUS:
Hi! Not really sure how to go about this problem..please help!
Answer:
6
Step-by-step explanation:
the numerator of the fraction is
6(t+h) +1 -(6t +1) = 6h
so the fraction is 6h/h =6
First Question: What is the value of the expression shown below?
4 + (6 + 2)2 ÷ 4 ⋅ 1 over 2 whole to the power of 4
Second Question: What is the value of the expression 10 + ( fraction 1 over 2 )4 ⋅ 48?
Answer:
x=14, and value of second one would be 7
Step-by-step explanation:
A sculptor is planning to use a triangular prism as the base for his art project. What is the volume of the pedestal if the area of its Base is 9 in² and the height of the prism is 15 inches?
45 in³
96 in³
135 in³
128 in³
The requried volume of the pedestal is 135 cubic inches.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The volume of a triangular prism is given by the formula V =base x h, where the base is the area of the base and h is the height of the prism.
In this case, the area of the base is given as 9 in², and the height of the prism is given as 15 inches.
Therefore, the volume of the pedestal is:
V = base x h
V = 9 in² x 15 inches
V = 135 cubic inches
So the volume of the pedestal is 135 cubic inches.
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Which statistical test is most appropriate to use to answer the following research question? Is there a difference in mean height between middle school students based on gender (male and female) and grade (6th, 7th, 8th)?
The most appropriate statistical test is a two-way ANOVA
How to determine the most appropriate statistical testFrom the question, we have the following parameters that can be used in our computation:
Question: Is there a difference in mean height between middle school students based on gender (male and female) and grade (6th, 7th, 8th)?
The most appropriate test is the two-way ANOVA
This is so because the test is a type of hypothesis test that uses a statistical model to analyze the variance between groups and within groups.
It tests the null hypothesis that the means of all groups are equal against the alternative hypothesis that at least one group mean is different from the others.
In this case, the groups are
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Se compra medio galón de leche para poder llenar biberones de 5 onzas
¿cuantos biberones se podrán llenar?
¿Cuantos mililitros tendrá cada biberón?
Answer:
Step-by-step explanation:
here is a step-by-step explanation:
Convert half a gallon of milk to liters. There are 3.785 liters in a gallon, so half a gallon is 1.892 liters.
Convert 5 ounces to liters. There are 0.147868 liters in 5 ounces.
Divide the total volume of milk (1.892 liters) by the volume of each bottle (0.147868 liters) to find out how many bottles can be filled completely:
1.892 liters / 0.147868 liters per bottle = 12.8 bottles
Note that the answer is not a whole number, which means there will be some leftover milk after 12 bottles are filled.
To find out how many milliliters are in each bottle, we can convert 5 fluid ounces to milliliters:
5 fluid ounces x 29.5735 milliliters per fluid ounce = 147.868 milliliters
Therefore, each bottle will contain approximately 147.868 milliliters of milk.
So, in summary, with half a gallon of milk, you can fill 12 bottles completely and each bottle will contain about 147.868 milliliters of milk.
A pharmaceutical company producing medicine determines that the ideal weight per dose of a certain drug is 0.05 grams. By law, the actual weight can vary from the ideal value by no more than 0.002 grams. What range of weights will be acceptable to an inspector without causing the pharmacy to be fined?
Answer:
Below
Step-by-step explanation:
The dose can be .05 gm ± .002 gm = .048 - .052 gm
[5] Which country is known as the ‘playground of Europe’?
(A) Austria
(B) Holland
(C) Switzerland
(D) Italy
ias chinadu
IAS CHINADU KUMAR KHAN
Answer:
The Playground of Europe is:
C) Switzerland.
Step-by-step explanation:
Hope it helps! =D
Point P is inside ΔABC and is equidistant from points A and B. On which of the following segments must P be located? A. AB B. The perpendicular bisector of AB C. The midsegment opposite AB D. The perpendicular bisector of AC
Answer:
Step-by-step explanation:
ASQASSA
which of the following is an example of conditional probability?
Answer:
the answer is (a) the probability that a person will order pie
On their farm, Adam’s family maintains a storage that can hold 18.8 cubic yards (yd3) of grain. Use the fact that 1 yard is approximately equal to 0.9144 m to convert this volume to m3. Round your answer to the nearest hundredth.
The volume of grains stored in Adam's family farm in m³ is 14.374m³.
What is meant by volume?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. Knowing an object's volume can help us figure out how much a substance is needed to fill it, such as how much water is needed to fill a bottle. Cubic units are used to quantify a solid's volume. Volume is another word for capacity.
Given,
The volume of grains stored in the farm = 18.8 yards³
It is given that 1 yard = 0.9144 m
We are asked to find the above volume of grains from yards³ to m³
if
1 yard = 0.9144 m
1 yard³ = 0.9144 m * 0.9144 m * 0.9144 m
18.8 yards³ = 18.8 * 0.9144*0.9144*0.9144 = 14.374 m³
Therefore the volume of grains stored in the farm in m³ is 14.374m³.
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PLEASE HURRY, ILL GIVE
BRAINLIST
(30 POINTS)
The function that represents linear function is y = 1/4(x) - 1. The correct answer is option(c).
A linear function is a which can be expressed in the form of,
y = mx + c
In the given question,
x = 1 is a constant function.
y = 1/3(x²) is a parabolic function.
and,
4x - 2 = 6 is also a constant function.
In the case of y = 1/4(x) - 1, We can compare the value with the standard equation.
We get,
m = 1/4
and, c = -1 which is an equation of a straight line.
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Please help me answer this question ASAP!!
The solution to the equation 17(4 + 15) is 323
What is an equation?
An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication, exponents
Given the equation:
17(4 + 15)
= 17(19)
= 323
OR
17(4 + 15)
= 17(4) + 17(15)
= 68 + 255
= 323
The solution to 17(4 + 15) can be gotten by determining the product of 17 and 19; or adding the product of 17 and 4 to the product of 17 and 15
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Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.
The missing coordinate of P is (−3/7, 5/7).
What does coordinate mean?In mathematics, coordinates are used in the study of geometry and algebra to describe points, lines, planes and curves. Two or three points can be used to define a line, and a set of points can be used to define a plane. Coordinates can also be used to solve equations or to establish relationships between different figures.
In two-dimensional space, coordinates are usually written as pairs of numbers, such as (x, y). The first number (x) is the horizontal position, and the second number (y) is the vertical position. In three-dimensional space, coordinates are usually written as triples of numbers, such as (x, y, z). The first number (x) is the horizontal position, the second number (y) is the vertical position, and the third number (z) is the depth.
To find the missing coordinate of P, we can use the fact that P lies on the unit circle in quadrant IV. Since the unit circle is centered at (0,0), has a radius of 1, and is in quadrant IV, this means that the x-coordinate of P must be negative.
Since the unit circle has a radius of 1, the coordinates of P must satisfy the equation x2 + (5/7)2 = 1.
We can solve this equation by subtracting (5/7)2 from both sides, then taking the square root of both sides to get:
x2 − (5/7)2 = 1 − (5/7)2
x = √(1 − (5/7)2)
x = √(1 − 25/49)
x = −3/7
Therefore, the missing coordinate of P is (−3/7, 5/7).
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Lucia wants to spend less than 16$ on her order. Which of the following represents amounts that are lucias budget? choose all the correct anwsers
A. 25% off $20
B. 10% off %18
C. $14 plus 10% sales tax
D. $14 plus 7% sales tax
E. 20% off $18 then a 10% shipping fee
F.30% off $30, then an addition $5 off
Answer:
A. 25% off $20
C. $14 plus 7% sales tax
D. $14 plus 7% sales tax
E. 20% off $18 then a 10% shipping fee
Step-by-step explanation:
The rest i did the math and it doesnt add up. But your option B. is either typoed or i dont know. If its a typo then include that in your answer as well
Tom says that he can find 12 x 18 mentally using two partial products,
10 x 18 and 2 x 18. Is Tom correct? Explain your answer.
So, in response to the above question, we can state that Due to the use equation of two partial products, 10 x 18 and 2 x 18, Tom is accurate that 12 x 18 equals 216.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
Tom is accurate;
Using partial products, where one of the numbers is divided into smaller pieces and each piece is multiplied by the other number, is an alternate approach. The ultimate result is then calculated by adding the products.
In this instance, Tom has divided 12 into 10 + 2 and is independently multiplying each portion by 18.
10 x 18 = 180
2 x 18 = 36
We only need to combine the two partial products to obtain the outcome:
180 + 36 = 216
Due to the use of two partial products, 10 x 18 and 2 x 18, Tom is accurate that 12 x 18 equals 216.
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