Answer:
0.25x
Step-by-step explanation:
got it right on cengage
Leon created a scale drawing of the school library in her art class. In the drawing the length of library is 13 inches. The length of actual library is 78 feet. Which scale Leon used to create the scale drawing of school library?
Answer:
1 inch is 6 feet
Step-by-step explanation:
Answer:
1 inch represents 6 feet
∪ω∪
Step-by-step explanation:
1 inch represents 6 feet
domain and range: identify the domain and range of the function.
Answer:
domain = 0,1,2,3
range= 5,7,15,44
How do you find the circles center?
The center of a circle can be found by using the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle and r is the radius. To solve for the center, you can set both equations equal to each other and solve for h and k.
To find the center of a circle, first use the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle and r is the radius. Set both equations equal to each other and solve for h and k. If the equation has a value for x and y, use the equation to substitute the values into the equation and solve for h and k. If the equation has a value for r, then use the equation to substitute the value into the equation and solve for h and k. Once h and k are found, the coordinates of the center of the circle are (h,k).
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22 A circle whose center is the origin passes through the point \( (-5,12) \). Which point also lies on this circle? (1) \( (10,3) \) (3) \( (11,2 \sqrt{12}) \) (2) \( (-12,13) \) (4) \( (-8,5 \sqrt{21
The point which also lies on the circle is (-12, 13).
The equation of the circle with the center as the origin and radius r is given by \(\( x^{2}+y^{2} = r^{2} \)\)
We can find the radius r of the circle using the given point (-5, 12).
Substituting the values, we get:
\(\( (-5)^{2} + 12^{2} = r^{2} \)\)
Solving for r, we get r = 13
Thus, the equation of the circle is \(\( x^{2} + y^{2} = 13^{2} \)\)
Now let's check which of the given points satisfy the equation:\(\( (10, 3) \) : \( 10^{2} + 3^{2} \neq 13^{2} \)\( (-12, 13) \) \( (-12)^{2} + 13^{2} = 13^{2} \) \\\( (11, 2\sqrt{12}) \) : \( 11^{2} + (2\sqrt{12})^{2} \neq 13^{2} \)\( (-8, 5\sqrt{21}) \) \( (-8)^{2} + (5\sqrt{21})^{2} \neq 13^{2} \)\)
Therefore, the point which also lies on the circle is (-12, 13).
Thus, the point which also lies on the circle is (-12, 13).
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I need to know if it’s a linear or nonlinear function
apply the method of undetermined coefficients to find a particular solution to the following system. x' = 7x-10y + 12 y' = 2x-5y-4e^-3t
According to the question the method of undetermined coefficients to find a particular solution is The particular solution to the given system is
\(\(x_p = -2 e^{kt}\)\) , \(\(y_p = e^{kt}\)\).
To apply the method of undetermined coefficients, we assume a particular solution of the form:
\(\(x_p = A e^{kt}\)\\\(y_p = B e^{kt}\)\)
where \(\(A\) and \(B\)\) are undetermined coefficients to be determined and \(\(k\)\) is a constant.
Differentiating the assumed forms of \(\(x_p\) and \(y_p\):\)
\(\(x'_p = Ak e^{kt}\)\\\(y'_p = Bk e^{kt}\)\)
Substituting these into the given system of equations:
\(\(Ak e^{kt} = 7(A e^{kt}) - 10(B e^{kt}) + 12\)\\\(Bk e^{kt} = 2(A e^{kt}) - 5(B e^{kt}) - 4e^{-3t}\)\)
Simplifying the equations:
\(\((Ak - 7A + 10B) e^{kt} = 12\)\)
\(\((Ak - 2A + 5B) e^{kt} = -4e^{-3t}\)\)
Since these equations must hold for all \(\(t\)\), the coefficients multiplying \(\(e^{kt}\)\) must be equal to 0:
\(\(Ak - 7A + 10B = 12\)\)
\(\(Ak - 2A + 5B = 0\)\)
Solving these equations for \(\(A\) and \(B\):\)
\(\(A = -2\)\)
\(\(B = 1\)\)
Therefore, the particular solution to the given system is \(\(x_p = -2 e^{kt}\)\) , \(\(y_p = e^{kt}\)\).
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(Chapter 14) If f(x,y) has two local maximal, then f must have a local minimum.TrueFalse
It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.
For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.
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which characteristic allows a gas to be compressed
Answer:
"Gases are compressible because most of the volume of a gas is composed of the large amounts of empty space between the gas particles. At room temperature and standard pressure, the average distance between gas molecules is about ten times the diameter of the molecules themselves."
Step-by-step explanation:
Found information on Compressibility | CK-12 Foundation website
What is the answer to 1/4×4/5
Answer:
1/5 or 0.2
Step-by-step explanation:
1/4 x 4/5 =
=1x4/4x5
=4/20 -OR- 1/5 -OR- 0.2
what is the average lexile score for an 8th grader?
Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5. 00 quick washes and $8. 00 premium washes. Let x represent the number of quick washes and let y represent the number of premium washes. Which system of linear equations represents the situation?
The second equation is= x+y=125.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.We are aware of the quantity of apples and the amount of money in the aforesaid problem.According to our question-
After the first quick wash, each additional quick wash costs $5.
Y premium washes cost $8 per after the first one, which cost $8.
They combined rapid and premium washes to make $775, for a total profit of $(5x+8y), or $775. The initial equation reads
5x+8y=775.
2. They had washed 125 vehicles, x using rapid wash and y using premium wash, for a total of x+y. The second equation is then
x+y=125.
Hence, The second equation is= x+y=125.
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WILL GIVE BRAINLIEST, please help easy question
Answer:
690 square units
Step-by-step explanation:
23 x 30 = 690
I don't think this is right.
A factory produces 10,000 computer monitors per day. The manager of the factory claims that fewer than 750 defective computer monitors are produced each day. In a random sample of 290 computer monitors, there are 9 defective computer monitors. Determine whether the manager's claim is likely to be true. Explain
The manager's claim that fewer than 750 damaged computer displays are produced daily is accurate, thus yes. A hypothesis theory can help us with this.
We need to conduct a hypothesis test to establish whether the manager's assertion is likely to be accurate. The null hypothesis, labelled H0, is that the fraction of damaged computer displays manufactured each day is 750/10,000 = 0.075. The proportion being less than 0.075 is the alternative hypothesis, labelled Ha.
The test statistic, which gauges how far the sample proportion deviates from the null hypothesis proportion assuming the null hypothesis is true, can be calculated using the sample data. Here is how the test statistic is computed:
p is the sample proportion of faulty, and z = (p - p0) / (p0(1-p0)/n) computer monitors, n is the sample size, and p0 is the null hypothesis proportion.
In this instance, n = 290, p = 9/290 = 0.031, and p0 = 0.075.
These variables are plugged in, and the result is: z = (0.031 - 0.075) / (0.075(1-0.075)/290) -4.50
The test statistic reveals how far the sample percentage deviates from the null hypothesis proportion by how many standard deviations. The test statistic's absolute value should be higher if there is more evidence arguing against the null hypothesis.
The likelihood of seeing a test statistic that is as extreme or more extreme than the one we computed assuming the null hypothesis is true is known as the p-value, and it may be determined using a conventional normal distribution. As the alternative hypothesis in this situation is that, we are interested in the left tail of the distribution. The proportion is lower than the proportion under the null hypothesis.
The p-value, which can be calculated or calculated using statistical tools, is about 0.000003. Due to the extremely low p-value, it is extremely unlikely that the sample proportion will be as extreme as or more extreme than 0.031, if the null hypothesis is correct.
The maximum probability of rejecting the null hypothesis when it is true is called the significance level, and it is typically used to compare the p-value to. The usual ranges for are 0.05 and 0.01. We reject the null hypothesis and come to the conclusion that there is evidence against it if the p-value is less than. If not, we are unable to reject the null hypothesis and come to the conclusion that there is insufficient evidence. to dismiss it.
If we apply = 0.05 in this instance, the p-value is significantly lower than. As a result, we reject the null hypothesis and come to the conclusion that there is evidence to support a daily production rate of fewer than 0.075 defective computer displays. The manager's assertion that fewer than 750 damaged computer displays are manufactured each day is in conflict with this.
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Which of the following could be the lengths of the sides of a right triangle.
6, 8, 10
5, 5, 10
3, 4, 6
8, 15, 16
Answer:
3,4,6 6,8,10 8,15,16
Step-by-step explanation:
How to simplify radicals with variables and exponents?
Radicals expression with variables and exponents can be simplify by:
Separate the number and variablesTry to find variables with even exponentsTry to breakdown the number into any factors that are perfect squareTry to rewrite both number and variables into square exponent Separate the squared factors into individual radicalsTake the square root of each radicalSimplify and multiplyTo help us understand each step better, we will take an example of a radical expression with variables and exponents of: \(\sqrt{16a^{3}b^6c^5 }\)
First, we need to separate the number and variables:
\(\sqrt{16a^3b^6c^5}=\sqrt{16} \sqrt{a^3b^6c^5}\)
Next, we will try to find variables with even exponents:
\(\sqrt{16} \sqrt{a^3b^6c^5} = \sqrt{16} \sqrt{a.a^2.b^6.c^4.c^}\)
Remember that:
(xᵃ)ᵇ = xᵃᵇ; then:
\(\sqrt{16}\sqrt{a.a^2.b^6.c^4.c} =\sqrt{16}\sqrt{a.a^2.(b^3)^2.(c^2)^2.c}\)
We try to breakdown any number into any factor that are perfect square:
\(\sqrt{16}\sqrt{a.a^2(b^3)^2.(c^2)^2.c} = \sqrt{4 .4} \sqrt{a.a^2(b^3)^2.(c^2)^2.c}\)
We will rewrite both number and the variables into a square exponents:
\(\sqrt{4 .4} \sqrt{a.a^2(b^3)^2.(c^2)^2.c} = \sqrt{4^2} \sqrt{a.a^2(b^3)^2.(c^2)^2.c}\)
We will separate the squared factors into individual radicals:
\(\sqrt{4 ^2} \sqrt{a.a^2(b^3)^2.(c^2)^2.c} = \sqrt{4^2} \sqrt{a^2} .\sqrt{(b^3)^2} \sqrt{(c^2)^2} \sqrt{a.c}\)
We take the square root of each radical into:
\(\sqrt{4^2} \sqrt{a^2} .\sqrt{(b^3)^2} \sqrt{(c^2)^2} \sqrt{a.c} = 4|a|.|b^3|.c^2\sqrt{ac}\)
We just need to simplify our last equation into:
\(4|a|.|b^3|.c^2\sqrt{ac} = 4|ab^3|c^2\sqrt{ac}\)
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An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a
The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
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hank owns a fruit stall he sells 11 apple and 5 oranges for 2.71. one apple costs 16p how much does one orange cost?
Answer:
11*0.16=1.76
2.71-1.76=0.95
0.95/5=0.19
One orange costs 0.19
Step-by-step explanation:
Three friends are traveling to school. Let x represent the number of minutes traveled and y
represent the distance from the school in miles for each representation.
a. Who lives the closest to the school? Explain.
b. Who is traveling the fastest? Explain.
Answer:
christian closest-0.5 is the distance he traveled which is less than 8 and 6
Step-by-step explanation:
Freddie is the fastest because christian travles .1 miles every 2 minutes being the slowest and .8 is greater than .66666
Answer:
a. Christian
b. Freddie
Step-by-step explanation:
a.
y = mx + b
m is the slope. It represents the speed of walking.
b is the y-intercept. It represents the distance from the school at time 0. Time 0 is when a person leaves his home, so the higher b is the farther from the school the person lives.
Freddie: y = -0.8x + 8
b = 8
Freddie lives 8 miles from school.
Christian: (0, 0.5); b = 0.5
Christian lives 0.5 miles from school.
Trevor: (0, 6) from the graph. b = 6; Trevor lives 6 miles from school.
a. Answer: Christian
b.
Each slope is the speed.
Freddie: m = -0.8
Christian: m = (0.4 - 0.5)/(2 - 0) = -0.1/2 = -0.05
Trevor: m = rise/run = -2/3 = -0.666...
The fastest speed is the slope with the highest absolute value.
b. Answer: Freddie
surface area of square pyrimid that is 8 by 8 by 5 khan
The surface area οf the square pyramid is 144 square units.
A square pyramid has a square base, sο tο find the surface area, we need tο find the area οf the square base and the area οf each οf the fοur triangular faces, and then add them tοgether.
The area οf the square base is: 8 x 8 = 64 square units
Tο find the area οf each οf the fοur triangular faces, we need tο find the area οf each triangle and then add them tοgether. Each triangle has a base οf 8 and a height οf 5 (the slant height οf the pyramid).
The area οf each triangle is:
(1/2) x base x height = (1/2) x 8 x 5 = 20 square units
Since there are fοur triangular faces, the tοtal area οf the triangular faces is: 4 x 20 = 80 square units
Finally, we can find the tοtal surface area by adding the area οf the square base and the area οf the fοur triangular faces:
64 + 80 = 144 square units
Therefοre, the surface area οf the square pyramid is 144 square units.
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A theater has 25 seats in the first row and 35 rows in all. Each successive row contains one additional seat. How many seats are in the theater?
The theater has a total of 945 seats.
To determine the number of seats in the theater, we need to calculate the sum of seats in each row. The first row has 25 seats, and each subsequent row increases by one seat. Since there are 35 rows in total, we can calculate the sum of an arithmetic series to find the total number of seats.
The formula for the sum of an arithmetic series is Sn = (n/2) * (a1 + an), where n is the number of terms, a1 is the first term, and an is the last term. In this case, n = 35 (number of rows), a1 = 25 (number of seats in the first row), and an = a1 + (n - 1) = 25 + (35 - 1) = 25 + 34 = 59 (number of seats in the last row). Plugging these values into the formula, we get Sn = (35/2) * (25 + 59) = 17.5 * 84 = 1470. Therefore, the theater has a total of 945 seats.
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If the curveCis the top semicirclex 2+y 2=9from(3,0)to(−3,0), evaluate the line integral∫ C(y−x)ds. (enter an integer or a fraction) Question 3 Calculate the work done by the force fieldF=⟨−x,y,z⟩along the pathr(t)=⟨cost,sint,4t⟩,0≤t≤ 2π4π 22π 2+14π 2+12π 24π
With the help of integrals, ∫Cxy4ds, C it the right half of the circle x2+y2=16.
What are integrals?Finding a function's anti-derivatives is made easier with the aid of integral calculus. The function's integrals are another name for these anti-derivatives.
Integration is the process of identifying a function's anti-derivative. Finding the integrals is the opposite of finding the derivatives. A family of curves is represented by a function's integral.
Integration is the process of obtaining f(x) from f'(x). When all the little data are combined, problems with displacement and motion, area and volume, and other issues develop.
Integrals assign numbers to functions in a way that describes these issues. We can determine the function f given the derivative f' of the function f. Here, the function f is referred to as integral of f' or antiderivative of f.
According to our question-
∫Cxy4ds, C it the right half of the circle x2+y2=16.
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Plz help!!!!!!!!!!!!!!!!!
Answer:
I believe it is a maximum. So sorry if im wrong
Step-by-step explanation:
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Please help me solve this with steps
Answer:
x = 1.5 or 3/2
Step-by-step explanation:
First, expand the equation.
(2x - 3)² = 0
(2x - 3)(2x - 3) = 0
In similar equations, we would solve for both pairs of parenthesis. However, since the equations inside both are the same, we only need to solve for ONE of them, bringing one correct answer.
2x - 3 = 0
Add 3 to both sides.
2x = 3
Divide both sides by 2.
x = 3/2 or 1.5.
Step-by-step explanation:
Mark me brainliest please i really need itLast one pls help me
Answer:
√89
Step-by-step explanation:
I assume you have to find the short cut, right?
5² + 8² = 25 + 64 = 89 = ( √89 )²
28% of the animals in an animal
rescue centre are cats. What
percentage are dogs?

Answer: Percentage of cats = 28%
Therefore, percentage of dogs = (100-28)%
= 72%
Step-by-step explanation:
hope this helps have a great night❤️
82% of £134.18
Give your answer rounded to 2 DP
82 = 0.82 = multiplier
134.18 x 0.82 = 110.0276
= £110.03 (2.d.p)
find the indicated functional value for the floor function: f(-3/2)
a. -2
b. 0
c. -1
d. 1
Answer:
find the indicated functional value for the floor function: f(-3/2)
B. 0
Step-by-step explanation:
hope it helped.
° ° °
The indicated functional value for the floor function is option (C) -1 is the correct answer.
What is floor function?The floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted floor(x) or f(x). It gives the largest nearest integer of the specified value.
For the givens situation,
The floor function is f(-3/2).
The indicated functional value for the floor function is
⇒ \(f(-3/2)= f(-1.5)\)
Here x = -1.5, the indicated functional value should be a greatest integer less than or equal to x.
Thus the indicated functional value of \(f(-1.5)\) is \(-1\).
Hence we can conclude that the indicated functional value for the floor function is option (C) -1 is the correct answer.
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Help I can’t figure out which graph it is I’m timed.
Given: T = (2, -7) X = (–7, 5) Find: 3TX
Answer:
3TX = 45
Step-by-step explanation:
See attached graph.
Form a right triangle and use length of the the two sides to find the hypotenuse, XT, 15. 3XT = 45