Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day
What is linear function ?
A linear function is a mathematical function that can be represented by a straight line on a graph. It has the form of:
y = mx + b
where m is the slope of the line, which determines how steeply the line rises or falls, and b is the y-intercept, which is the point where the line crosses the y-axis.
According to the question:
If Daisy calls in sick, then Lisa will be the only stylist at the salon, and all customers will go to her. Let's use x to represent the number of Lisa's customers. Then the income generated by Lisa's customers can be represented by the equation:
18x = projected income
We can solve for x by dividing both sides of the equation by 18:
x = projected income / 18
Substituting the given projected income of $216, we get:
x = 216 / 18 = 12
Therefore, Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day.
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i need help on this question :(((
The Polynomials that are listed in the question are the options labelled;
B, C, E
What is a polynomial?
A polynomial is a mathematical expression that consists of variables, coefficients, and exponents.
The variables represent unknown values, while the coefficients are constants that multiply the variables or their exponents. The exponents indicate the power to which the variables are raised.
Polynomials can be added, subtracted, multiplied, and divided to create more complex expressions, and they are used in a wide range of mathematical applications, including algebra, calculus, and geometry.
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mental ability
hardest queston for grade 7
you are god if you did and explained properly
i will mark you as brainliest
optinons are-:
173
153
182
142
Answer:
153
Step-by-step explanation:
The relationship in the row is below
4³ +2³ +1³ =64 + 8 +1 = 72
1³ + 2³ +6³= 1 + 8 + 216
3³ + 1³ + 5³ = 27 +1 +125 = 153
All numbers below the first level are raised to power 3 and added together
9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, 9 1/2 make a line plot that displays the lengths of the books on the bottom shelf
The line-plot of the the given data 9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, 9 1/2 that displays the lengths of the books on the booom shelf is attached.
What is line plot?
A line plot is a type of graph that represents the kind of data representation. It is line plot or a line chart shows the data in a visual form or visual representation. The graph is plotted with help of straight lines and points or dots. The x-axis is represented by straight lines or the it is labelled about the data. The y-axis is represented by the dots or frequency of the data. It is generally used to represent the small data set. This graph uses symbols to show or represent the frequency of the observations.
The data represented here is 9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, 9 1/2
we can make the frequency table using the above values, after which it can be plotted on the line-plot graph.
1-9 1/4--1 dot
2-9 1/2--1 dot
3-9 1/2--1 dot
4-10 1/4-2 dots
5-10 1/2--1 dot
6-11--1 dot
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Attached is a line-plot of the given data showing the lengths of the books on the book shelf: 9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, and 9 1/2.
What is line plot?An example of a graph that shows this sort of data representation is a line plot. The data is presented visually in the form of a line plot or a line chart. With the aid of straight lines, points, or dots, the graph is drawn. Straight lines or labels that describe the data are used to depict the x-axis. The dots or frequency of the data are used to depict the y-axis. It often serves as a representation for a tiny group of data. The frequency of the observations is shown or represented by symbols on this graph.
9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, and 9 1/2 are the numbers shown.
Using the aforementioned variables, we can create the frequency table, which can then be plotted on the line-plot graph.
1-9 1/4--1 dot
2-9 1/2--1 dot
3-9 1/2--1 dot
4-10 1/4-2 dots
5-10 1/2--1 dot
6-11--1 dot
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4. CENTERS Neil wants to find the center of a large
circle. He draws what he thinks is a diameter of the
circle and then marks its midpoint and declares that
he has found the center. His teacher asks Neil how
he knows that the line he drew is the diameter of the
circle and not a smaller chord. Neil realizes that he
does not know for sure. What can Neil do to
determine if it is an actual diameter.
To check if the line drawn is diameter it should be intersected at centre and it must be equidistant from the centre of the circle.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.
To determine if the line Neil drew is an actual diameter of the circle and not just a smaller chord, he can use the following method -
Extend the line on both sides to create two lines that intersect at a point outside the circle.
Use a compass to draw a circle with the same center as the original circle, and with a radius that is greater than half the length of the line Neil drew.
Check if the two lines intersect the circle at two points that are equidistant from the center of the circle.
If they do, then the line Neil drew is an actual diameter of the circle.
If they do not, then the line Neil drew is just a chord.
This method works because a diameter of a circle is the longest chord that passes through the center of the circle.
By extending the line Neil drew and creating two lines that intersect outside the circle, we can compare the distance from the center of the circle to each of the two intersection points with the radius of the circle we drew.
If the distances are equal, then the line Neil drew must be a diameter of the circle.
Therefore, the method to find the actual diameter is explained.
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which of the following is a longitudinal study? researchers test the intelligence of all the students in a high school. intelligence tests are given to the residents of a nursing home. researchers randomly select 50 students from a high school with 2000 students. the 50 students are given intelligence tests. a group of college juniors is given an extensive battery of tests over a period of 2 days. a group of kindergartners is given an intelligence test. they are retested every other year for 30 years.
Only the final option, which is typical of a longitudinal study, calls for retesting the same set of individuals over a lengthy period of time.
what is probability ?It is a numerical value that runs from 0 to 1, with 0 denoting the impossibility of an event and 1 denoting its certainty. The probability of an event A is expressed mathematically as P(A), where P(A) is the number of possible ways that event A could happen divided by the total number of outcomes.
given
The final choice is the long-term study: "An intelligence test is given to a class of kindergarteners. During 30 years, they are retested every other year."
In a longitudinal study, a group of individuals are followed over a lengthy period of time, frequently years or even decades. A longitudinal study's goal is to look at how people change or grow over time and to pinpoint any potential contributing elements.
Only the final option, which is typical of a longitudinal study, calls for retesting the same set of individuals over a lengthy period of time.
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Newton's 2nd law says that when a larger force is applied to an object of mass m, the object will experience a larger acceleration. At the same time, you've learned that all objects experience the same acceleration in a free fall, even if their weights (the forces of gravity acting on them) are different. That sounds like a contradiction: on one hand, from the Newton's 2nd law, a larger force means larger acceleration, on the other hand when applied to motion under gravity - a larger weight (force) means the same acceleration for all objects. How do you reconcile these statements? Why isn't it a contradiction? Does gravity violate the Newton's second law or is there another explanation. Be as thorough and clear in your explanation as possible.
It is important to understand that the force of gravity acting on an object does not violate Newton's second law. It is an external force that acts on an object and produces an acceleration in it. Therefore, the acceleration due to gravity does not violate Newton's second law.
According to the Newton's second law, a force acting on a body of mass m produces an acceleration a in the body which is directly proportional to the force and inversely proportional to the mass. For instance, If a body of mass m is acted upon by a force F, then the acceleration produced in the body is given by F/m.As per the law, a larger force will produce a larger acceleration in the object.
When a body falls under gravity, it is said to experience weight. The weight of an object is the force of gravity acting on the object. According to Newton's law of gravitation, every object attracts every other object with a force proportional to their masses and inversely proportional to the square of their distance. In general, the weight of an object can be given by the formula weight = mass x acceleration due to gravity.
Therefore, as the acceleration due to gravity is the same for all objects, the weight of an object is proportional to its mass. It implies that a heavier object has more weight, while a lighter object has less weight.As per the above facts, a heavier object would require a larger force to move it than a lighter object. However, when they fall under gravity, both objects fall at the same rate. It appears as a contradiction, but the reason for it is the difference between weight and mass.
The mass of an object is a measure of the amount of matter in it, while the weight of an object is the force exerted on it by gravity.The acceleration produced in an object by an external force is not the same as the acceleration due to gravity. A force F produces an acceleration F/m, whereas the acceleration due to gravity is the same for all objects.
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Solve the equation by completing the square.
x^2−12x+35=0
After completing the square, the equation is _____, and the solution is x=5,x=7
Answer:
x:5,x:7
x^2-12x+35
x^2-12x=-35
x^2-12x+6^2=-35+36
(x+6)^2=1
insert a radical anywhere
x+6=1
x=1-6
x=-5. x=5
x=-1-6
x=-7. x=7
A rocket is launched from the top of a 90 foot cliff with an initial velocity of 160 feet per second. The height, h, of the rocket after t seconds is given by the equation h=-16t^2+160t+90. How long after the rocket is launched will it be 30 feet from the ground?
The rocket will be 30 feet from the ground approximately 0.4 seconds or 9.6 seconds after it is launched.
To solve this problem, we need to find the value of t for which the height of the rocket is 30 feet. We can use the given equation to set up an equation for this as follows:
-16t² + 160t + 90 = 30
Simplifying and rearranging, we get:
-16t² + 160t + 60 = 0
Dividing by -4, we get:
4t² - 40t - 15 = 0
Using the quadratic formula, we get:
t = [40 ± √(40² - 4(4)(-15))] / (2×4)
t = [40 ± √(1840)] / 8
t = [40 ± 2×√(460)] / 8
t = 5 ± (1/2)×√(460)
Therefore, the rocket will be 30 feet from the ground at t = 5 - (1/2)×√(460) seconds or t = 5 + (1/2)×√(460) seconds. These are the two possible solutions to the equation. We can simplify them as follows:
t = 0.4 seconds or t = 9.6 seconds
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combined with a high tide on september 16, 2020 by how many feet did that storm surge submerge the lowest parts of pensacola beach? enter a number (no words) in the blank.
The steps to find the depth through which the storm submerges the lowest parts of the Pensacola Beach is given below.
How to solve for the feet that the storm submerges?As it has been given in the question, Pensacola beach is located 5-10 feet above sea level.
The ocean water rises upto 5.5 feet during a storm
Hence you need to add up the height of the highest tide on 16 September to 5.5 feet.
If the combined height of the highest tide and the storm tide is greater than 10 feet, then the whole Pensacola beach submerges.
You just subtract the combined height of the storm and the highest tide from the height of the beach.
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Portions of Pensacola Beach, a coastal community built on a barrier island, are located at 3 - 10 feet above sea level.
Hurricane Sally, which struck Pensacola on September 16, 2020 and brought a 5.5 foot storm.
Combined with a high tide on September 16,202, by how many feet did that storm surge submerge the lowest parts of Pensacola Beach? (Hint: use the information in question and change the date on the tidal chart to September 16, 2020) Now, compare your answers above, and think about how the type (pattern) and size of the tides differ for these two locations
two angles are supplementary. if one angle is two times the sum of other angle and 3, find the two angle
The answer of the given question based on the supplementary angle is the two angles are 58° degrees and 122° degrees.
What is Angle?An angle is a geometric figure that is formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called sides or arms of angle. Angles are typically measured in the degrees or the radians.
The measure of an angle is determined by the amount of rotation needed to bring one of its sides into coincidence with the other side. A full rotation is 360° degrees, so an angle that is half of a full rotation is 180 degrees, an angle that is a quarter of a full rotation is 90° degrees, and so on.
Let's call the two angles "x" and "y". We know that they are supplementary, which means that their sum is 180° degrees:
x + y = 180
We also know that one angle (let's say "x") is two times the sum of the other angle (y) and 3:
x = 2(y + 3)
Now we can substitute the second equation into the first equation to eliminate "x":
(2(y + 3)) + y = 180
Simplifying the equation, we get:
3y + 6 = 180
Subtracting 6 from both sides, we get:
3y = 174
Dividing both sides by 3, we get:
y = 58
Now that we know "y", we can substitute it back into the equation for "x" to find its value:
x = 2(y + 3) = 2(58 + 3) = 122
Therefore, the two angles are 58° degrees and 122° degrees.
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the fifth term of the sequence is 5 and the sixth term is 2.5. What is the 2nd term?
Answer:
Let's denote the first term of the sequence as a, and the common difference between consecutive terms as d.
Then, we know that the fifth term is 5, so:
a + 4d = 5
Similarly, we know that the sixth term is 2.5, so:
a + 5d = 2.5
We can solve this system of equations by subtracting the first equation from the second:
(a + 5d) - (a + 4d) = 2.5 - 5
d = -2.5
Now, we can substitute this value of d into either equation to find the value of a:
a + 4d = 5
a + 4(-2.5) = 5
a - 10 = 5
a = 15
Therefore, the first term of the sequence is 15, and the common difference is -2.5. We can use this to find the value of the second term:
a + d = 15 + (-2.5) = 12.5
Therefore, the second term of the sequence is 12.5.
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emme takes a quiz for her anthropology 401e course. there are 9 multiple-choice questions on the test with 4 answer choices, only one of which is correct. emme has not studied for the test, so she just randomly guesses the answers. what is the probability that emme answers exactly 3 questions correctly? enter your answer as a decimal with four significant digits
The probability that Emme answers exactly 3 questions correctly is 0.1961.
Since each question has four answer choices and only one is correct, the probability of Emme randomly guessing the correct answer for each question is 1/4 = 0.25. Emme needs to answer exactly 3 out of the 9 questions correctly, so we use the binomial distribution with n = 9 and p = 0.25 to calculate the probability:
P(X = 3) = (9 choose 3) * (0.25)^3 * (0.75)^6
Using a calculator, we get:
P(X = 3) = 0.1961
Therefore, the probability that Emme answers exactly 3 questions correctly is 0.1961.
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what is x2=20 show your work
Answer:
x=10
Step-by-step explanation:
x2=20
2*x=20
2*10=20
so, x=10
< Back to task
In the quadrilateral below, angles DAB and BCD are the same size.
What is the size of angle DAB?
D
228
34° -B
Answer >
The size of angle DAB in the quadrilateral is 49°.
How to find the size of angle DAB?The sum of the interior angles of a quadrilateral is 360°. We can say:
∠A + ∠B + ∠C + ∠D = 360°
∠A + 34° + ∠C + 228° = 360°
∠A + ∠C + 262° = 360°
∠A + ∠C = 360 - 262
∠A + ∠C = 98
Since angles DAB and BCD are the same size. This implies ∠A = ∠C. Thus:
∠A + ∠A = 98
2∠A = 98
∠A = 98/2
∠A = 49°
Therefore, the size of angle DAB is 49°.
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Complete Question
Check the attached image
This is due tomorrow so please help me ASAP! Thanks!
The value of the given lengths are as follows:
a.) KL = 11.1ft
LO = 5.7ft
b.) m<OMN = 45°
How to calculate the missing length of the given triangles?For Side LO ;
7/11 = 7√2/7√2+LO
7(7√2+LO) = 11×7√3
69.3+7LO = 108.9
7LO = 108.9-69.3
LO = 39.6/7
LO = 5.7 ft
For KL ;
This can be solved using the Pythagorean theorem;
c²= b²+a²
C = 5.7+7√2 = 15.6
b = 11
a²= 15.6²-11²
= 243.36 - 121
= 122.36
a= √122.36
a= 11.1ft
For angle OMN;
This can be solved using SOHCAHTOA.
Sin∅ = opposite/hypotenuse
opposite = 7
hypotenuse = 7√2
sin∅ = 7/7√2
sin∅ = 0.707106781
∅= sin-1 0.707106781
∅ = 45°
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Evelyn buys bracelets thats cost $6 each and three purses that cost $12 each. The cost of evelyns total purchase is $60. Write and equation thar can be used to find n, the number of bracelets that evelyn buys
b + 2p = 10 ,we have an equation that relates the number of bracelets to the number of purses and the total cost of the purchase. if Evelyn buys two purses, she also buys six bracelets.
Let's start by defining our variables. We'll let "b" represent the number of bracelets that Evelyn buys and "p" represent the number of purses she buys.
We know that each bracelet costs $6 and each purse costs $12. We also know that her total purchase is $60.
Using this information, we can create an equation:
6b + 12p = 60
Now we want to solve for "b", which represents the number of bracelets. To do this, we need to isolate "b" on one side of the equation. We can start by simplifying the equation by dividing both sides by 6:
b + 2p = 10
Now we have an equation that relates the number of bracelets to the number of purses and the total cost of the purchase. We can use this equation to find the value of "b" given any value of "p". For example, if Evelyn buys two purses, we can substitute "p = 2" into the equation and solve for "b":
b + 2(2) = 10
b + 4 = 10
b = 6
So if Evelyn buys two purses, she also buys six bracelets.
In general, we can see that the equation tells us that for every two purses that Evelyn buys, she buys one less bracelet. This makes sense because purses are more expensive than bracelets, so as she buys more purses, she can afford fewer bracelets.
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in bridge, south has 13 points and 3 clubs and bids 1 club. north responds with 3 clubs, what does that mean?
In the bridge, when the south has 13 points and 3 clubs and bids 1 club, the north responding with 3 clubs means that the North has a strong hand with six or more clubs.
In the game of bridge, bidding is a method of indicating the strength of a player's hand, which is the number of tricks that they believe they can win if they become the declarer. Every player has to declare their abilities based on the bid of the previous player when it is their turn to bid.
The bidding starts with the dealer and proceeds in a clockwise direction. The players can either make a bid or pass. The following are the four basic bids in Bridge:
When South has 13 points and 3 clubs, he makes a 1 Club bid. This bid can be interpreted as follows:
South has a strong hand with five or more clubs and 13 to 21 high card points. When South bids 1 Club, he implies that he has a balanced hand, which means that he has four cards in each suit, or an unbalanced hand, which means that he has a long suit, a singleton, or a void in some other suit.
When North responds with 3 Clubs, it means that he has a strong hand with six or more clubs. North has understood that South has five or more clubs and therefore responds with the number of clubs that he has in his hand to show that he is strong enough to support South's suit. Thus, North is trying to force South to become the declarer in clubs.
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PLEASE HELP THIS IS DUE TODAY
Answer:
13 - The first option
11 - (x+1)
16 - first option
Step-by-step explanation:
factor x^2=14x-18=-8x-2
Answer:
=(x+9)(x+5)
Step-by-step explanation:
Find the length of the hypotenuse
on a right triangle with legs of 12
inches and 10 inches.
Answer:
[tex]2 \sqrt{61} \: in[/tex]
Step-by-step explanation:
Use the Pythagorean theorem (assume, that the length of hypotenuse is x):
[tex] {x}^{2} = {10}^{2} + {12}^{2} = 100 + 144 = 244[/tex]
[tex]x > 0[/tex]
[tex]x = \sqrt{244} = 2 \sqrt{61} [/tex]
a dependent variable that maintains constant measurements throughout an experiment will be depicted by a
A dependent variable that maintains constant measurements throughout an experiment will be depicted by a straight, horizontal line in a graph.
In an experiment, the dependent variable is the variable being measured, and it is expected to change in response to changes in the independent variable. However, if the dependent variable remains constant throughout the experiment, it indicates that it is not affected by the independent variable.
When such a situation arises, the data points for the dependent variable will be located at the same level or value, resulting in a horizontal line in the graph.
This straight, horizontal line represents the constant measurements of the dependent variable, and it can provide valuable insights into the nature of the relationship between the independent variable and the dependent variable.
A dependent variable that maintains constant measurements throughout an experiment may indicate a flaw in the experimental design, such as an incorrect assumption about the nature of the relationship between the independent variable and the dependent variable, or an uncontrolled confounding variable.
Therefore, it is important to carefully analyze the data and the experimental design to identify and address any potential issues.
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What is 3x+7y=11 equal to
(6,-1)
(1,-2)
(0,4)
The given equation 3x + 7y = 11 is equal to (1,-2).
The given equation is 3x + 7y = 11.
To find the solution of the equation, we need to consider the given options:
(6,-1)(1,-2)(0,4)
Now substitute each value of x and y in the given equation, we get,
If x = 6 and y = -13(3 × 6) + (7 × -1) = 18 - 7 = 11 ≠ 11
If x = 1 and y = -2(3 × 1) + (7 × -2) = 3 - 14 = -11 ≠ 11
If x = 0 and y = 4(3 × 0) + (7 × 4) = 0 + 28 = 28 ≠ 11
Therefore, the given equation 3x + 7y = 11 is equal to (1,-2).
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after a (not very successful) trick or treating round, candice has 12 tootsie rolls and 10 twizzlers in her pillow case. her mother asks her to share the loot with her three younger brothers. (a) how many different ways can she do this?
Using the stars and bars technique, Candice can distribute her 24 pieces of candy among her four siblings in 2,925 different ways. If she must give each sibling at least one of each type of candy, there are 67,200 ways to distribute the candy among the four siblings.
(A) To solve this problem, we can use the technique of stars and bars. We have a total of 24 pieces of candy to share among four children. We can represent this using 24 stars, with 3 bars to separate the stars into four groups, one for each child. For example, the following arrangement represents giving 6 pieces of candy to the first child, 10 pieces to the second child, 3 pieces to the third child, and 5 pieces to the fourth child:
*****|**********|***|****
The number of ways to arrange the stars and bars is equal to the number of ways to choose 3 positions out of the 27 possible positions for the stars and bars. Therefore, the number of different ways that Candice can share her candy with her three younger brothers is:
C(27, 3) = 27! / (3! * 24!) = 2925
(B) Now, we need to ensure that each child receives at least one Tootsie roll and one Twizzler. We can give each child one of each candy to start, and then distribute the remaining 13 Tootsie rolls and 7 Twizzlers using the stars and bars technique. We have 13 Tootsie rolls and 7 Twizzlers to distribute among four children, which can be represented using 13 stars and 3 bars for the Tootsie rolls, and 7 stars and 3 bars for the Twizzlers. The number of ways to arrange the stars and bars for each type of candy is:
C(16, 3) = 560 for the Tootsie rolls
C(10, 3) = 120 for the Twizzlers
To find the total number of ways to distribute the candy, we can multiply the number of ways for each type of candy:
560 * 120 = 67200
Therefore, there are 67,200 different ways for Candice to share her candy with her three younger brothers after her mother asks her to give at least one of each type of candies to each of her brothers.
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Complete question:
After a (not very successful) trick or treating round, Candice has 15 Tootsie rolls and 9 Twizzlers in her pillow case. Her mother asks her to share some of the loot with her three younger brothers.
(A) How many different ways can she do this?
(B) How many different ways can she do this after her Mother asks her to give at least one of each type of candies to each of her brothers?
Find the are 22ft 37ft 38. 09ft 109degrees 138degrees
Answer:
B.
Step-by-step explanation:
I just took the test
If the limit as n goes to infinity of the quotient of the absolute value of the quantity a sub n plus 1 times the n plus 1 power of the quantity x minus 7 and the absolute value of the product of a sub n and the nth power of x minus 7 for the power series the summation from n equals 1 to infinity of a sub n times the nth power of the quantity x minus 7, then what is the interval over which the power series converges absolutely? You do not need to consider the endpoints.
In conclusion, the power series converges absolutely over an interval given by [tex]\left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n\in\mathbb{N}\;\;\;\text{and}\;\;\;n>N, where N\in\mathbb{N}[/tex]is a natural number.
The interval over which the power series converges absolutely is given by [tex]\left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n\in\mathbb{N}\;\;\;\text{and}\;\;\;n>N, where N\in\mathbb{N}[/tex] is a natural number.
In other words, for any given N, the series will converge absolutely over the interval \left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n>N.
This means that the series will converge absolutely over a larger interval as N increases, since the terms \frac{\left|a_n+1\right|}{\left|a_n\right|} get closer to 1 for larger values of n.
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Help me please i’m timed!
The value of angle x in the right triangle KJI is approximately 63.4 degrees.
What is trigonometric ratios ?
Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the lengths of its sides. The three primary trigonometric ratios are sine, cosine, and tangent, which are abbreviated as sin, cos, and tan, respectively.
These ratios are defined as follows:
Sine (sin) of an angle is the ratio of the length of the side opposite to the angle to the length of the hypotenuse.
Cosine (cos) of an angle is the ratio of the length of the adjacent side to the angle to the length of the hypotenuse.
Tangent (tan) of an angle is the ratio of the length of the side opposite to the angle to the length of the adjacent side.
Finding the value of x :
We can use the trigonometric ratios to find the value of angle x in the right triangle KJI.
First, we can use the Pythagorean theorem to find the length of the hypotenuse KI:
[tex]KI^2 = KJ^2 + JI^2[/tex]
[tex]KI^2 = 27^2 + 48^2[/tex]
[tex]KI^2 = 729 + 2304[/tex]
[tex]KI^2 = 3033[/tex]
[tex]KI =\sqrt{3033}[/tex]
Next, we can use the sine function to find the value of angle I:
[tex]sin(I) = JI / KI[/tex]
[tex]sin(I) = 48 / \sqrt{3033}[/tex]
[tex]I = sin^-1(48 / \sqrt{3033})[/tex]
[tex]I = 63.4[/tex] degrees
Therefore, the value of angle x in the right triangle KJI is approximately 63.4 degrees.
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I need the questions 25,28 and 29
Using the given values, the values of the expression and equations are:
25. -0.8
28. S ≈ 137.22
29. V ≈ 50.94
Evaluating an expressionFrom the question, we are to evaluate each of the expressions for the given values
25.
[-b + √(b² -4ac)]/2a
a = 2, b = 8, c = 5
Substituting the values into the expression
[-b + √(b² -4ac)]/2a
= [-8 + √((8)² - 4(2)(5))]/2(2)
= [-8 + √(64 - 40)]/4
= [-8 + √(24)]/4
= [-8 + 2√6]/4
= -2 + 1/2(√6)
= -0.775
≈ -0.8
28.
S = 2πrh + 2πr²
r = 2.3, h = 7.1 (Take π = 3.14)
Thus,
S = 2(3.14)(2.3)(7.2) + 2(3.14)(2.3)²
S = 103.9968 + 33.2212
S = 137.218
S ≈ 137.22
29.
V = 4/3 πr³
r = 2.3(Take π = 3.14)
V = 4/3 × 3.14 × (2.3)³
V = 50.939
V ≈ 50.94
Hence, the value of V is 50.94
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X=4 ?
X=28 ?
How to solve?
The value of x in the given linear equation of 4x = 28 is determined as 7.
What is the value of x in the linear equation?
To find the value of x in the linear equation 4x = 28, we need to isolate x on one side of the equation.
We can do this by dividing both sides of the equation by 4:
4x/4 = 28/4
Simplifying:
x = 7
Thus, identify the equation and the variable: In this case, the equation is 4x = 28, and the variable we want to solve for is x. Also simplify the linear equation by dividing both sides by 4, we get x = 7, which is the solution.
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The complete question is below:
4x = 28
find the value of x
3 Which of the following figures have
the same area?
2.9 cm
II
4 cm
2 cm
A. Figures I and II
C. Figures I and III
I
5.8 cm
III 3.7 cm
3.7 cm
B. Figure II and III
D. None of the above
We can see here that the figures that have the same area are: A. Figures I and II.
What is area?Area is a measure of the size of a two-dimensional surface or shape. It refers to the amount of space inside the boundaries of a flat object, such as a rectangle, triangle, or circle. Area is typically measured in square units, such as square meters, square feet, or square centimeters.
The area of Figure I which is a rectangle is = l × b = 2cm × 5.8cm = 11.6cm².
The area of Figure II which is a parallelogram is = b × h = 4cm × 2.9cm = 11.6cm².
Thus, Figures I and II have the same area.
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i need help with my home work
The expression or equation that correctly represents the situation given is y = 2x.
What is the relationship between the packages of cashews and the cans of peanuts?Based on the table, for each package of cashews 2 cans of peanuts are required. Here are some examples:
3 packages of cashews = 6 cans of peanuts = 6/3 = 24 packages of cashews = 8 cans of peanuts = 8/4 = 2Based on this relationship and assuming y represents the cans of peanuts and x represents the packages of cashews a possible equation to represent this situation would be y = 2x.
Note: This question is incomplete; below I attach the missing information:
Write an equation to represent this relationship:
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