Answer:
x = 9
Step-by-step explanation:
given a line parallel to a side of the triangle and intersecting the other 2 sides, then it divides those sides proportionally.
[tex]\frac{x-1}{3x+1}[/tex] = [tex]\frac{6}{21}[/tex] = [tex]\frac{2}{7}[/tex] ( cross- multiply )
7(x - 1) = 2(3x + 1) ← distribute parenthesis on both sides
7x - 7 = 6x + 2 ( subtract 6x from both sides )
x - 7 = 2 ( add 7 to both sides )
x = 9
Find and simplify the difference quotient [f(x+h)-f(x)]/h for the function f(x)=-5x-1.
[f(x+h)-f(x)]/h =.....
The difference quotient [f(x+h)-f(x)]/h for the function f(x)=-5x-1 is -5.
To find and simplify the difference quotient [f(x+h)-f(x)]/h for the function f(x)=-5x-1, we need to substitute (x+h) into the function for x and then simplify.
First, let's substitute (x+h) into the function for x:
f(x+h) = -5(x+h) - 1
Next, let's simplify:
f(x+h) = -5x - 5h - 1
Now, let's subtract f(x) from f(x+h):
[f(x+h) - f(x)] = (-5x - 5h - 1) - (-5x - 1)
Simplifying further:
[f(x+h) - f(x)] = -5h
Finally, let's divide by h:
[f(x+h) - f(x)]/h = -5h/h = -5
Therefore, the difference quotient [f(x+h)-f(x)]/h for the function f(x)=-5x-1 is -5.
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The seventh grade class is building target areas for a or activity. The based for the game will be a circular shape. The diameter of each circle is 5 feet. Approximately how !any square feet of the turf need to be painted for the base circle?
Answer:
Step-by-step explanation:
rwerdfsdfsdfsdfsdfsdfsdfsdfsdfsd 56
20 points quick plssssss
Answer:
$9 an hour
Step-by-step explanation:
A) 1
B) 18
C) 4
D) 90
Two angles of a quadrilateral measure 180° and 50°. The other two angles are in a ratio of 2:11. What are the measures of those two angles?
The measures of those two angles are, 20° and 110°
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
Two angles of a quadrilateral measure 180° and 50°.
And, The other two angles are in a ratio of 2:11.
Since, The other two angles are in a ratio of 2:11.
Hence, ,Measures of both angles are, 2x and 11x.
Now, We know that;
Sum of all interior angles of a quadrilateral are 360°.
Hence, We get;
⇒ 180 + 50 + 2x + 11x = 360
⇒ 230 + 13x = 360
⇒ 13x = 360 - 230
⇒ 13x = 130
⇒ x = 10
Thus, Measures of both angles are,
2x = 2 × 10 = 20°
and 11x = 11 × 10 = 110°
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Find the equation of a line parallel to 3x + 3y = 21 that passes through the point
(8,-2).
Answer:
do you have like any picture of a graph?
The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 2 inches. The height of each triangle attached to the square is 6 inches. The base of the triangle is the side of the square. What is the surface area of the solid? (5 points) a 10 square inches b 16 square inches c 24 square inches d 28 square inches
Answer:
Step-by-step explanation:
take and mulityply all of them the add them all up
19. A ball is dropped from a height of 30 feet. At the same time, a ball is thrown straight into the air from a height of 5 feet with an initial velocity of 20 feet per second. The polynomials -16t2 + 30 and -16t2 + 20t + 5 represent the heights (in feet) of the balls after t seconds.
a. Write a polynomial that represents the distance between the heights of the balls after t seconds.
b. Interpret any coefficients and constants of the polynomial in part (a.)
A polynomial that represents the distance between the heights of the balls after t seconds. Time t =15/20=0.75 seconds
a. Change of speed versus acceleration and time:
v = u + at
20 = -16t2 + 30 +16t2 + 20t + 5
20= 20t + 35
20t=35-20=15
b. We now interpret this polynomial as follows:Δh(t)=[tex]h_{0} -u_{y} t[/tex]
This shows how far apart the two balls are at time t. The two terms can be interpreted as follows: The initial separation between the two balls at time t=0 is represented by the constant term, h0 (in fact, the first ball is still at the top of the building, while the second ball is on the ground). For this issue[tex]h_{0} =30 feet.[/tex] The second ball's initial velocity, which serves as the coefficient of the linear term, [tex]u_{y}[/tex]tells us that the gap between the two balls closes by [tex]u_{y}[/tex] feet every second.
Time t =15/20=0.75 seconds. Time is the continuous pattern of existence and the events that take place in what appears to be an unbroken progression from the past through the present and into the future. It is a component number of various measurements that are used to compare the lengths of events or the pauses between them, to compare the order in which they occur, and to gauge the rates at which certain quantities in the physical world or in conscious experience change.
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QUESTION 1 Determine if this is a function or not, find the domain, and find the range. {(7,8),(3,2),(1,8),(-7,2)} Is this a function or not? (type yes or no) What is the domain? (list the numbers in increasing order, seperated by a comma ) What is the range? (list the numbers in increasing order, seperated by a comma )
The domain is -7, 1, 3, 7 and the range is 2, 8
Determine if this is a function or not, find the domain, and find the range. {(7,8),(3,2),(1,8),(-7,2)} Is this a function or not? (type yes or no) What is the domain? (list the numbers in increasing order, seperated by a comma ) What is the range? (list the numbers in increasing order, seperated by a comma )
Yes, this is a function. The domain is -7, 1, 3, 7 and the range is 2, 8.
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Choose correct statement:
Two vectors are perpendicular if and only if the angle between them is 90 deg. Every orthonormal set is linearly independent Every orthogonal set is linearly independent R^n has an orthonormal basis Zero vector is perpendicular to all other vectors Any orthonormal set in R^n is a basis
Correct statement: Two vectors are perpendicular if and only if the dot product of the two vectors is zero.
Explanation:
Two vectors are perpendicular if and only if the dot product of the two vectors is zero. This is equivalent to saying that the angle between the two vectors is 90 degrees. Therefore, the statement "Two vectors are perpendicular if and only if the angle between them is 90 degrees" is correct.
Every orthonormal set is linearly independent. This statement is also correct. An orthonormal set of vectors is a set of vectors that are pairwise perpendicular and have length 1.
Since the dot product of any two distinct vectors in an orthonormal set is 0, it follows that any linear combination of these vectors will also have a dot product of 0 with any other vector in the set.
Therefore, the only solution to a linear combination of these vectors being equal to the zero vector is for all the coefficients to be 0, which implies linear independence.
Every orthogonal set is linearly independent. This statement is also correct. An orthogonal set of vectors is a set of vectors that are pairwise perpendicular, but not necessarily of length 1.
Similar to the previous argument, the dot product of any two distinct vectors in an orthogonal set is 0, which implies linear independence.
R^n has an orthonormal basis. This statement is also correct. An orthonormal basis for a vector space is a basis consisting of orthonormal vectors. It can be shown that any finite-dimensional inner product space has an orthonormal basis, and R^n is a finite-dimensional inner product space with the standard dot product.
The zero vector is perpendicular to all other vectors. This statement is false. The zero vector is orthogonal to all other vectors, but not necessarily perpendicular, as the concept of perpendicularity requires the vectors to have a nonzero length.
Any orthonormal set in R^n is a basis. This statement is also correct. An orthonormal set of n vectors in R^n must span the entire space, as any vector in the space can be expressed as a linear combination of these vectors.
Furthermore, any set of n linearly independent vectors in R^n is a basis, so the fact that an orthonormal set is linearly independent (as shown in statement 2) implies that it is a basis.
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Hi there,
Can you help me? I need help on The given equation involves a power of the variable. Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION. I don't understand. Can you show your work to understand
thank you , in advance
3x^5/3 + 96 = 0
x =
x = -4 - 4√2/6 and x = -4 + 4√2/6.
Hi there! The equation 3x5/3 + 96 = 0 can be rewritten as x5 + 32 = 0. In order to solve for the real solutions of this equation, we can use the Quadratic Formula, which states that for the equation ax2 + bx + c = 0, the real solutions are given by x = (-b ± √b2 - 4ac)/2a. Substituting the values for a, b, and c, we get x = (-32 ± √322 - 4*3*0)/6, which simplifies to x = (-32 ± √1024)/6, or x = -4 ± 4√2/6. Therefore, the real solutions for the equation are x = -4 - 4√2/6 and x = -4 + 4√2/6.
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(x^(2))/(9)-(y^(2))/(16)=1 will have a minor and major axis with length (In that order ) a. 3,4 b. 6,8 c. 9,16 d. 18,32
The given function will have a minor and major axis with length 6 and 8, respectively. The correct answer is B.
The given equation is (x²)/(9) - (y²)/(16) = 1 is in the form of (x²)/(a²) - (y²)/(b²) = 1. This is the equation of a hyperbola with a horizontal transverse axis.
The length of the major axis is 2a, and the length of the minor axis is 2b.
In this case, a = 3 and b = 4.
So, the length of the major axis is 2a = 2(3) = 6, and the length of the minor axis is 2b = 2(4) = 8.
Therefore, the correct answer is option b. 6,8.
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the sum of series whose n term is 3(2x+1) is
i need detailed answer
The sum of a series whose nth term is 3(2x+1) can be calculated using the formula: S = (n/2)(3a + 3d + a), where a = the first term of the series and d = the common difference between the terms. In the given series, the first term is 3(2x+1), and the common difference is 3. Therefore, the sum of the series is: S = (n/2)(3(2x+1) + 3(3) + (2x+1)) = (n/2)(9x + 10)
Please help me I am doing NC math 1
So the equation of the line in slope-intercept form is y = x + 2. The y-intercept is 2.
What is linear equation ?
Linear equation can be defined as equation in which highest degree is one.
In this problem, you are given a graph of a linear function. The graph shows two points on the line: (-2, 0) and (3, 5).
To find the slope of the line, we can use the formula:
slope = (change in y) / (change in x)
We can use the two points given to find the change in y and the change in x:
change in y = 5 - 0 = 5
change in x = 3 - (-2) = 5
Plugging these values into the formula, we get:
slope = 5/5 = 1
So the slope of the line is 1.
To find the y-intercept of the line, we can use one of the points on the line and the slope we just found. Let's use the point (-2, 0):
y - y1 = m(x - x1)
where (x1, y1) is the point (-2, 0) and m is the slope we just found:
y - 0 = 1(x - (-2))
y = x + 2
Therefore, the equation of the line in slope-intercept form is y = x + 2. The y-intercept is 2.
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Jatch help video he quadratic formula to solve. Express your answer in simplest fo 8w^(2)-14w+5=0 Submit Answer
The solutions to the equation are x=1.25 and x=0.5. These are the values of w that make the equation true.
To solve the quadratic equation [tex]8w^(2)-14w+5=0[/tex] using the quadratic formula, we first need to identify the values of a, b, and c. In this case, a=8, b=-14, and c=5. The quadratic formula is:
[tex]x = (-b ± √(b^(2)-4ac))/(2a)[/tex]
Plugging in the values of a, b, and c, we get:
[tex]x = (-(-14) ± √((-14)^(2)-4(8)(5)))/(2(8))[/tex]
Simplifying the equation, we get:
x = (14 ± √(196-160))/16
x = (14 ± √36)/16
x = (14 ± 6)/16
Now we can solve for the two possible values of x:
x = (14+6)/16 = 20/16 = 1.25
x = (14-6)/16 = 8/16 = 0.5
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60 D A B Diagram NOT accurately drawn The sides of an equilateral triangle 1BC and two regular polygons meet at the point 4. AB and AD are adjacent sides of a regular 10-sided polygon. AC and 4D are adjacent sides of a regular n-sided polygon Work out the value of n.
The value of n in the n-sided polygon, with sides AC and AD, where the external angle formed at the point the decagon touches the n-sided polygon is 60° is; n = 15
What is a polygon?A polygon is a planar shape with three or more straight sides.
The sum of angles at a point property indicates that, the sum of angles at the point A can be presented as follows;
∠BAC + ∠CAD + ∠DAB = 360°
Angle ∠BAC = 60°
Angle ∠DAB is an interior angle of a 10-sided regular polygon, (a decagon), therefore, the measure of angle ∠DAB is 144°
Plugging in the values of the measures of the angles ∠BAC and ∠DAB, in the equation, ∠BAC + ∠CAD + ∠DAB = 360°, we get;
+ ∠CAD + 144° = 360°
∠CAD = 360° - (144° + 60°) = 156°
∠CAD = 156°
The formula for finding the measure of the interior angle of an n-sided polygon, θ, can be presented as follows;
θ = (n - 2) × 180°/n
Where the interior angle, θ = 156°, which is the measure of ∠CAD, in the n-sided polygon, we get;
156° = (n - 2) × 180°/n
156·n = 180·n - 360
360 = 180·n - 156·n = 24·n
n = 360/24 = 15
The number of sides in the n-sided polygon is 15, therefore, AC and AD are adjacent to a 15-sided polygon
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Please help me
Make 'g' the subject of the formula:
[tex]f = \frac{mv {}^{2} }{gr} [/tex]
g can be made the subject of the formula as g = mv² / fr.
What is Subject of a Formula?Subject of a formula is defined as the variable that we are going to find. This can be differentiated by putting in one side of the formula.
The given formula is,
f = mv² / gr
Here, f is the subject of the formula, as it is the only variable in the left hand side.
Now rearrange the equation that g is isolated in the left hand side.
Multiply both sides by gr.
f g r = mv²
g (fr) = mv²
Divide both sides by fr.
g = mv² / fr
Hence we can rearrange the formula as g = mv² / fr.
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The recommended retail price of a new cancer drug is $150 per dose. The price of the drug in a random sample of 20 retailers is on average $161 with a sample standard deviation of $4. Give the following for a 95% confidence interval for the mean drug price.
1. The value for Z or t and how you found it.
2. The confidence interval equation filled in.
3. The calculation of the Standard Error
4. The calculation of the Margin of Error
5. The upper and lower limits
6. An interpretation of the confidence interval
Upload a picture of your answer, showing all your work.
1. The value of Z is 1.96 determined from Z-table or a calculator. 2. The confidence interval equation is 161 ± 1.96* (4/√20). 3.The standard error is 0.8944. 4. The margin of error is 1.754. 5. The upper and lower limits are 162.754 and 159.246 respectively. 6. Confidence interval indicate how confident the researchers is that true mean is within the range.
1. For a 95% confidence interval, the value for Z is 1.96. This value is found by looking at a Z-table or using a calculator to find the Z-score that corresponds to a 95% confidence level.
2. The confidence interval equation is:
CI = x ± Z* (σ/√n)
Where x is the sample mean, Z is the Z-score, σ is the sample standard deviation, and n is the sample size.
Plugging in the values from the question, we get:
CI = 161 ± 1.96* (4/√20)
3. The standard error is calculated by dividing the sample standard deviation by the square root of the sample size:
SE = σ/√n = 4/√20 = 0.8944
4. The margin of error is calculated by multiplying the Z-score by the standard error:
ME = Z*SE = 1.96*0.8944 = 1.754
5. The upper and lower limits are calculated by adding and subtracting the margin of error from the sample mean:
Upper limit = x + ME = 161 + 1.754 = 162.754
Lower limit = x - ME = 161 - 1.754 = 159.246
6. The 95% confidence interval for the mean drug price is between $159.246 and $162.754. This means that we are 95% confident that the true mean price of the drug is within this range.
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The Toucan has a long, narrow beak that allows it to reach fruit that is hard to reach for other birds.
Plants, like the Monstera Plant, in HELP IM ON A TIME LIMIT!!!!
the rainforest have long, grooved leaves to drop water to the forest
floor. The excessive water that falls in the rainforest could lead to mold, so the leaves adapted to
have “drip tips” that allow the water to run off of the leaves.
What type of adaptations are these? Compare and contrast the adaptations of the Toucan and
Monstera Plants of the rainforest. Your answer should be 3–4 sentences long.
Answer:
They have large leaves with holes in them that the Toucan can use to reach the fruit inside. The Toucan's beak is also used to break open hard-shelled fruits, such as coconuts. The Toucan's beak is also used for defence against predators, as it can be used to peck and jab at them. The adaptations of the rainforest plants are examples of convergent evolution. Both the Toucan and Monstera Plants have adapted to their environment in order to survive. The Toucan has a large beak that helps it to reach fruit in the canopy, while the Monstera Plant has long, grooved leaves with drip tips that allow water to run off and prevent mould. Both adaptations are beneficial for the survival of the species in the rainforest.
Step-by-step explanation:
Translate the logarithmio statoment into an equivalent exponential statement. log_(4)(1)/(16)=-2
The logarithmic statement [tex]log_(4)(1)/(16)=-2[/tex] can be translated into the equivalent exponential statement [tex]4^(-2)=(1)/(16)[/tex].
The logarithmic statement [tex]log_(4)(1)/(16)=-2[/tex] can be translated into an equivalent exponential statement by using the definition of logarithms. The definition of logarithms states that if [tex]log_(b)(a)=c[/tex], then [tex]b^c=a.[/tex]
Using this definition, we can translate the logarithmic statement[tex]log_(4)(1)/(16)=-2[/tex] into an equivalent exponential statement by rearranging the terms.
The equivalent exponential statement would be[tex]4^(-2)=(1)/(16)[/tex]. This means that 4 raised to the power of -2 is equal to 1/16.
So, the logarithmic statement [tex]log_(4)(1)/(16)=-2[/tex]can be translated into the equivalent exponential statement[tex]4^(-2)=(1)/(16)[/tex].
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Determine the slope and intersection with the y-axis of each graph
y=-2x-1
Step-by-step explanation:
when x=2
y=2(2)-1
y=4-1
Answer:
slope = -2, Y intercept = -1
Step-by-step explanation:
[tex]y = mx + c[/tex]
[tex]where \: m \: is \: the \: slope \: and \: c \: is \: the \: intercept[/tex]
So compare the equation with y= -2x-1
Therefore m = -2, c = -1
Sabrina has to buy at least 100 dollars worth of items from a store to get free shipping. She already has a 70 dollar sweatshirt in her cart. If one pair of socks costs 4 dollars, (s) how many pairs of socks does she need to buy to get free shipping? Solve and write an inequality
I WILL GIVE 5 STARS AND BRAINIEST PLEASE HELP
Sabrina needs to buy at least 8 pairs of socks to get free shipping, so the inequality will be x ≥ 8.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
Sabrina needs to buy at least 100 dollars worth of items to get free shipping, and she already has a 70 dollar sweatshirt in her cart.
Let x be the number of pairs of socks she needs to buy.
Each pair of socks costs 4 dollars, so the cost of x pairs of socks is 4x dollars.
To get free shipping, the total cost of her items must be at least 100 dollars.
Therefore, we can write the inequality -
70 + 4x ≥ 100
Subtracting 70 from both sides, we get -
4x ≥ 30
Dividing both sides by 4, we get -
x ≥ 7.5
Since Sabrina cannot buy a fraction of a pair of socks, she needs to buy at least 8 pairs of socks to meet the minimum spending requirement for free shipping.
Therefore, the solution to the situation is x ≥ 8.
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points. Be sure to select the appropriate numbe f(x)=(3x^(2)+18x+27)/(x^(2)+3x^(4))
The points of the equation are: (-3, 0), (-9, 0), and (0, 0). Be sure to select the appropriate number.
To find the points of the equation f(x) = (3x2 + 18x + 27)/(x2 + 3x4), you need to set the numerator and denominator of the equation equal to 0. Then you can solve for the points.
Setting the numerator equal to 0:
3x2 + 18x + 27 = 0
Solve for x: x = -3 and x = -9
Setting the denominator equal to 0:
x2 + 3x4 = 0
Solve for x: x = 0
Therefore, the points of the equation are: (-3, 0), (-9, 0), and (0, 0). Be sure to select the appropriate number.
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A data set lists the favorite choice of movie genres. Which of the following charts could be used to display the data, and why?
The chart that cοuId be used tο dispIay the data is D. Bοx pIοt; because the data is categοricaI.
What is a bοx pIοt?A bοx pIοt, οften knοwn as a bοxpIοt, is a methοd in descriptive statistics fοr graphicaIIy dispIaying the IοcaIizatiοn, spread, and skewness grοups οf numericaI data thrοugh their quartiIes.
Bοx pIοts are used tο depict the distributiοns οf numericaI data vaIues, particuIarIy when cοmparing them acrοss variοus grοups. They are designed tο cοnvey high-IeveI infοrmatiοn at a gIance, prοviding generaI infοrmatiοn abοut the symmetry, skew, variance, and οutIiers οf a grοup οf data.
In this case, since the data set Iists the favοrite chοice οf rοck bands, the bοx pIοt can be used.
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Complete question:
A data set lists the favοrite chοice οf rοck bands. Which οf the fοllοwing charts cοuld be used tο display the data, and why?
Bar chart; because the data is categοrical
Bar chart; because the data is numerical
Bοx plοt; because the data is categοrical
Bοx plοt; because the data is numerical
A is reflected over the x-axis to create A'. Then, points A, A', B and a fourth point become the vertices of a rectangle. What are the coordinates of the fourth point?
(3, -5)
(-6, -5)
(6, 5)
(-3, -5)
The fourth point has coordinates (-17, 0).
The x-coordinate of A remains constant but the sign of the y-coordinate changes if A is mirrored over the x-axis to form A'. Hence, if Has a coordinates (a, b), A' must also have coordinates (a, -b).
Given that A and A' are the corners of a rectangle that are opposite one another, the other two corners of the rectangle must be on a horizontal line that passes through A and A"s midpoint (a, 0). Since (a, 0) and the fourth point (let's call it C) are separated by 2|b|, the distance between A and A' is also 2|b|. This indicates that depending on which side of the line AA' C is on, it has coordinates of (a + 2|b|, 0) or (a - 2|b|, 0).
In this instance, the coordinates of A are (3, 5) and those of A' are (3, -5). The intersection of A and A' is (3, 0). A and A' are separated by 2|5|, which equals 10.
The fourth point, C, thus, has coordinates of either (3 + 2(10), 0) = (23, 0) or (3 - 2(10), 0) = (-17, 0).
The right response is (3 - 2(10), 0), which can be deduced from the graph since the rectangle is symmetric about the y-axis (-17, 0).
The fourth point therefore has coordinates (-17, 0).
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At a carnival game, it cost Noah $12 to toss 30 rings. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
Answer: See attached.
Step-by-step explanation:
First, we will find the unit rate by dividing.
30 rings / $12 = 2.5 rings per dollar
Then, we can fill out the other values using this unit rate.
2 dollars * 2.5 rings per dollar = 5 rings
45 tosses / 2.5 rings per dollar = 18 rings
Lastly, we will use these two equivalent ratios we found above to fill out the table and then plot the points. See attached.
Water vapour at 100 kPa and 150oC is compressed
isothermally until half the vapour has condensed. How much work
must be performed on the steam in this compression process per
kilogram?
The work performed on the steam in this compression process per kilogram is -50 kPa*V/kg.\
To find the work performed on the steam in this compression process per kilogram, we need to use the following formula:
W = PΔV
Where W is the work, P is the pressure, and ΔV is the change in volume.Since the process is isothermal, the pressure and volume are inversely proportional.
This means that if the pressure is doubled, the volume will be halved. In this case, the pressure is constant at 100 kPa, and the volume is halved because half of the vapour has condensed.
Therefore, the change in volume is:
ΔV = V/2 - V = -V/2
Substituting this into the formula for work, we get:
W = PΔV = (100 kPa)(-V/2) = -50 kPa*V
To find the work per kilogram, we need to divide the work by the mass of the steam. Since the mass is not given in the question, we can assume it is 1 kilogram. Therefore, the work per kilogram is:
-50 kPa*V/1 kg = -50 kPa*V/kg
So the work performed on the steam in this compression process per kilogram is -50 kPa*V/kg.\
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What is 23,000 grams in pounds?
1 gram = 0.001 kilograms
1 kilogram≈2.2 pounds
Responses
10.45 pounds
23 pounds
50.6 pounds
506 pounds
Answer:
In Explanation
Step-by-step explanation:
To convert grams to pounds, we need to first convert grams to kilograms, and then kilograms to pounds.
Given that 1 gram = 0.001 kilograms, we can convert 23,000 grams to kilograms as follows:
23,000 grams = 23,000 * 0.001 kilograms = 23 kilograms
Now, given that 1 kilogram ≈ 2.2 pounds, we can convert 23 kilograms to pounds as follows:
23 kilograms * 2.2 pounds/kilogram = 50.6 pounds
Therefore, 23,000 grams is equivalent to 50.6 pounds.
(Please give brainlist)
Write the equation of a sine function with Amplitude=4 and Period = 8pi
The equation of the sine function is: y = 4 sin(1/4 x).
What is a sine function?
A sine function is a type of trigonometric function that relates the angle of a right triangle to the ratio of the length of its opposite side to its hypotenuse. It is defined as the ratio of the length of the opposite side of an angle in a right triangle to the length of the hypotenuse.
The general form of a sine function is:
y = A sin(Bx + C) + D
where A is the amplitude, B determines the period (B = 2π/period), C is the phase shift, and D is the vertical shift.
Substituting the given values, we get:
A = 4 (amplitude)
Period = 8π
B = 2π/Period = 2π/(8π) = 1/4
C = 0 (no phase shift)
D = 0 (no vertical shift)
the equation of the sine function is:
y = 4 sin(1/4 x)
Note that the value of B is the reciprocal of the period, since the formula for period is T = 2π/B, which can be rearranged to get B = 2π/T.
Hence, the equation of the sine function is: y = 4 sin(1/4 x).
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A bakery sold a total of 3028 coffee buns and blueberrybuns. 1560 more buns were sold than blueberry. How many coffee buns did the baker sell
As per the unitary method, the bakery sold 2294 coffee buns.
Let us assume that the number of blueberry buns sold by the bakery is x. According to the problem, the number of coffee buns sold is 1560 more than the number of blueberry buns sold. Therefore, the number of coffee buns sold can be expressed as (x + 1560).
Now, we are given that the total number of buns sold (both coffee and blueberry) is 3028. Therefore, we can set up an equation based on the given information:
x + (x + 1560) = 3028
Simplifying this equation, we get:
2x + 1560 = 3028
2x = 1468
x = 734
Therefore, the number of blueberry buns sold by the bakery is 734. Now, we can use the unitary method to find the number of coffee buns sold. We know that the number of coffee buns sold is 1560 more than the number of blueberry buns sold, which is:
x + 1560 = 734 + 1560 = 2294
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Please help. I would really appreciate it. Thank you.
Is it a, b, c, or d??
I may be wrong but, i think it may be C. due to how the question states the answers and questions, Although it may also be B.