Answer:
There the coordinates of the point are:
(x, y) = (-2.5, 1.5)
Therefore, option 'b' is true.
Step-by-step explanation:
From the coordinate plane, it is clear that the point is located in the 2nd quadrant.
We know that the second quadrant has negative x values and positive y values.
2nd quadrant → (-, +)
The point is clearly located at the location at x=-2.5 and y=1.5
There the coordinates of the point are:
(x, y) = (-2.5, 1.5)
Therefore, option 'b' is true.
Pizza Hut charges $10 per large pizza plus a $4 delivery fee. If you spent a total of $34, how many pizzas did you order
Answer:
3 pizzas
Step-by-step explanation:
34-4=30
30/10=3
Answer:
3 pizzas
Step-by-step explanation:
34-4=30 since we already know the delivery fee
30/10=3 since we have 30 dollars left without the delivery fee we are just left to divide 30 by 10 to get the total number of pizzas
2.5 m³ of limestone has a mass of 6025 kg. a) Calculate the density of limestone in kg/m³. 3 b) Find the mass of 1.7 m³ of limestone in kg.
In calculus the curvature of a curve whose equation is by y = f(x) is defined to be the number * =y"/[1 + (y)²1³/2 (1) (a) (4 points) Determine a function in Eq. (1) for which = 1. (b) (3 points) Use an appropriate substitution to solve dy a sin y- dx + cos y =
v = 1/e ax [sin^-1 (u) + c]Substituting back for u = v/1, we have:v = 1/e ax [sin^-1 (v) + c]This is the required solution.
(a) To determine a function in Eq. (1) for which K = 1, the following steps will be taken:Given that K = y''/[1 + (y')²]3/2 ............(1)Differentiating (1) with respect to x yields:dK/dx = [(1 + (y')²)3/2 y''' - 3y' y'' (y')²]/(1 + (y')²)3 ......(2)Substituting K = 1 in (1) yields:1 = y''/[1 + (y')²]3/2or y'' = [1 + (y')²]3/2 ...................(3) Integrating (3) once gives:y' = sin c1√(1 + y²) ...........(4)Where c1 is the constant of integration. Squaring (4), we obtain:y'² = sin² c1 (1 + y²)...............(5)Differentiating (5) with respect to x yields:y'' = d/dx[sin² c1 (1 + y²)]/2√(1 + y²) ..........(6)On substituting (5) in (6), we have:y'' = sin c1(cos² c1)/(1 + y²)3/2 ............(7)Now, equating (1) and (7), we have:sin c1(cos² c1)/(1 + y²)3/2 = 1/(1 + y²)3/2 ...........
.(8)Therefore, sin c1 cos² c1 = 1 ...............(9)But cos² c1 = 1 - sin² c1.Substituting this in (9), we have: sin c1(1 - sin² c1) = 1 ............(10)Multiplying throughout by (1 + sin² c1), we get: sin c1 + sin³ c1 = 1 + sin² c1 .............(11)Rearranging, we obtain: sin³ c1 + sin² c1 - sin c1 - 1 = 0 ............(12)This cubic equation in sin c1 has one root at sin c1 = 1. Hence, we take sin c1 = 1.Substituting this value of sin c1 in (4), we have:y' = √(2)y ..........(13)Integrating (13) with respect to x, we obtain:y = k ex/√(2) ..........(14)Where k is the constant of integration. Therefore, the required function in Eq. (1) for which K = 1 is given by:y = k ex/√(2).(b) Given the differential equation:dy/dx + a sin y = cos yWe use the substitution v = sin y. Therefore, we have:dv/dx = cos y dy/dx = cos y(1 - v²) ..........(15)Substituting (15) in the differential equation, we obtain:dv/dx + a v = cos y = √(1 - v²)
Now, this is a first-order linear differential equation that can be solved using an integrating factor of e ∫adx = e ax. Multiplying both sides of the equation by e ax, we obtain:e ax dv/dx + ae ax v = e ax √(1 - v²)Differentiating both sides with respect to x, we obtain:(d/dx)[e ax v] = e ax √(1 - v²)Multiplying throughout by dx and integrating both sides, we get:e ax v = sin^-1 (u) + cWhere u = v/1, and c is the constant of integration. Therefore,v = 1/e ax [sin^-1 (u) + c]Substituting back for u = v/1, we have:v = 1/e ax [sin^-1 (v) + c]This is the required solution.
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simplify
6 ÷ 3 + 32 · 4 − 2
Answer:
128 <33
Step-by-step explanation:
6 ÷ 3 + 32 • 4 - 2 = 128
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Donte is told that for a particular math problem, the value of y is always 8 times the value of x. Donte writes the equation y=8x to show the relationship between x and y. What is the constant of proportionality?
Answer:
32768
Step-by-step explanation:
8x8x8x8x8
Answer:8
Step-by-step explanation:
2. A town is planning a circular walkway that will be 2 meters wide. The walkway will have an inter radius of 5 meters with a circumference of about 31. 4 meters. Find the area of the wallway
The area of the walkway is 24π square meters.
To find the area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.
The inner circle has a radius of 5 meters, so its area can be calculated using the formula for the area of a circle: A_inner = π * \((r_inner)^{2}\).
A_inner = π * \(5^{2}\) = 25π square meters.
The outer circle has a radius equal to the sum of the inner radius and the width of the walkway. In this case, the outer radius is 5 + 2 = 7 meters.
The area of the outer circle can be calculated in the same way: A_outer = π * \((r_outer)^{2}\).
A_outer = π * \(7^{2}\) = 49π square meters.
Now, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: A_walkway = A_outer - A_inner.
A_walkway = 49π - 25π = 24π square meters.
The area of the walkway is 24π square meters, where π (pi) is a mathematical constant approximately equal to 3.14159.
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Eighty-one million four hundred twelve thousand six hundred fifty
Answer:
81,412,650
Step-by-step explanation:
im not sure if this is what ur asking for??
Can someone explain this to me if you can.
Answer: I wish I can help, but I don't know how to explain it
Sarah is trying to find the best deal for her phone service. She narrowed down the choices to the two companies in the table. Both companies charge per-minute rates, and there are no additional costs.
A 2-column table with 2 rows. Column 1 is labeled Company A with entries 18 dollars, 120 minutes. Column 2 is labeled Company B with entries 21 dollars, 150 minutes.
Sarah wants to know which company costs the least amount per minute.
Which quotients should Sarah find? Check all that apply.
StartFraction 120 Over 8 EndFraction
StartFraction 18 Over 120 EndFraction
StartFraction 150 Over 21 EndFraction
StartFraction 21 Over 150 EndFraction
For Sarah to know the company that costs the least amount per minute, the quotients she should find are:
B. 18/120D. 21/150.What is the quotient?The quotient is the result of a division operation.
A division operation is one of the four basic mathematical operations, including addition, subtraction, and multiplication.
A division operation has four parts:
The dividend (the number or value being divided or numerator).The divisor (the number or value dividing or denominator).The equal symbol (showing that the solution is equal to the mathematical expressions).The quotient (the result of the division operation).Company A Company B
Total charge $18 $21
Total minutes 120 150
Per-minute rate $0.15 ($18/120) $0.14 ($21/150)
Thus, the quotients Sarah should find are Options B and D.
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How to solve this math equation
Answer:
125 degrees
Step-by-step explanation:
If I am reading the drawing correctly you have angles in matching corners. These are called Corresponding Angles and are equal to each other. So we know that the angle labelled (2x - 115) is equal to 135. So we set that up and solve for x
2x - 115 = 135
2x = 250
x = 125
someone says that if you add two irrational numbers, you will always get an irrational sum. how can you convince the person they are wrong?
It is not true that whenever we add two irrational numbers we get an irrational number.
Since we know a rational number is a number in the form, p/q, where q ≠ 0. Let take two numbers : 2 + √3 & 2 - √3
The sum of the two numbers be :
= 2 + √3 + 2 - √3
= 4
Here the number is rational, taking another irrational numbers : 2 + √5 & 2 - √3
= 2 + √5 + 2 - √3
= 4 + √5 - √3, where it is an irrational number.
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Rewrite, using the distributive
property.
16b-8b = ([?]-8)b = [?]b
Answer:
8b
Step-by-step explanation:
You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:
\(\displaystyle{16b-8b=\left(16-8\right)b}\)
Then evaluate and simplify:
\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)
in the figure, four long straigfht wires are perpendicular to the page, and their corss sections form a square edge length a. what is the magnitude of the net magnetic field at the square's center?
The magnitude of the net magnetic field at the square's center is \(= (7.94 * 10^{-4}N/m)i+(-7.94 * 10^{-4}N/m)j\).
Using \(dB=\frac{u_0i}{4\pi} \frac{sin\theta}{r^2}\) the force on say, wire 1 (the wire at the upper left of the figure) is along the diagonal (pointing toward wire 3, which is at the lower right). Only the forces (or their components) along the diagonal direction contribute. With θ=45°, we find the force per unit meter on wire 1 to be
\(f_1 = |F_{12}+F_{13}+F_{14}|\\\\= 2F_{12}cos\theta+f_{13}\\\\=2(\frac{u_0i^2}{2\pi a} )cos45^0+\frac{u_0i^2}{2\sqrt{2}\pi a }\)
\(=\frac{3}{2\sqrt{2}\pi }(\frac{u_0i^2}{0})\\\\=\frac{3}{2\sqrt{2}\pi } \frac{(4\pi*10^{-7}T.m/A)(15.0A)^2} {(8.50*10^{-2}m)}\)
\(= 1.12 * 10^{-3}N/m\)
The direction of F1 is along r^=(i^=j^)/sqrt2. In unit-vector notation, we have
\(F_1 = \frac{(1.12 * 10^{-3}N/m)}{\sqrt{2} }(i - j) \\\\= (7.94 * 10^{-4}N/m)i+(-7.94 * 10^{-4}N/m)j\)
Hence the answer is the magnitude of the net magnetic field at the square's center is \(= (7.94 * 10^{-4}N/m)i+(-7.94 * 10^{-4}N/m)j\).
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A Prince came to an Evil Wizard to ask for the release of his beloved Princess, who is locked behind one of three doors. The Evil Wizard offered to release the Princess if the Prince was able to correctly guess which door she was behind. And with this offer, the Evil Wizard gave three hints: 1) The Princess is locked behind door 1 2) A fire-breathing Dragon is locked behind door 2. 3) There is also someone locked behind door 3 The Prince realized that all three hints were false, and with the help of logic, understood which door the Princess was locked behind. Which door was it?
Answer:
Princess is behind 2
Step-by-step explanation:
If all 3 hints are false, then the princess is not behind 1 ( so it must be 2 or 3)
The dragon is not behind 2 ( so it must be 1 or 3)
The is no one behind 3
That means the princess cannot be behind 3 and the dragon cannot be behind 3
The princess is behind 2 and the dragon is behind 1
The basket of golf balls at a miniature golf course contains 12 golf balls, of which 2 are purple. What is the probability that a randomly selected golf ball will be purple? Simplify & write your answer as a fraction or whole number. P(purple) =
The probability that a randomly selected golf ball will be purple is 1/6
What is the probability that a randomly selected golf ball will be purple?From the question, we have the following parameters that can be used in our computation:
The basket of golf balls contains 12 golf ballsOf which 2 are purple.The probability that a randomly selected golf ball will be purple is calculated as
Probability = Purple/Number of golf balls
Substitute the known values in the above equation, so, we have the following representation
Probbaility = 2/12
Simplify
Probbaility = 1/6
Hence, the value of the probability is 1/6
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Complete a Fish-bone
diagram for the following problem:
a. Problem
statement: My microwave cooked
popcorn burned.
The Fishbone diagram identifies possible causes for the problem of burned microwave popcorn, including equipment condition, popcorn quality, timing, temperature control, popcorn bag or container, kernel distribution, popcorn quantity, microwave maintenance, popcorn storage, and power fluctuations.
Problem: My microwave cooked popcorn burned.
1. Equipment: Check the microwave's condition, age, and power settings.
2. Popcorn: Examine the popcorn brand, quality, and packaging instructions.
3. Timing: Analyze the cooking time set for the popcorn.
4. Temperature: Assess the microwave's heating consistency and temperature control.
5. Popcorn bag/material: Investigate the type of bag or container used for the popcorn.
6. Kernel distribution: Consider the distribution of kernels within the bag.
7. Popcorn quantity: Evaluate the amount of popcorn used for cooking.
8. Microwave maintenance: Check if the microwave is clean and free from residue.
9. Popcorn storage: Consider the storage conditions and age of the popcorn.
10. Power fluctuations: Investigate if there were any power surges or fluctuations during cooking.
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1. ADEA has vertices D(8,4), E(2, 6), and F(3, 1). What are the vertices of the image after a dilation with a scale factor of 5 using the origin as the center of dilation? TO
Answer:
The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)
Step-by-step explanation:
If the point (x, y) dilated by a scale factor k using the origin as a center of dilation, then its image is (kx, ky)
Let us use this rule to solve our question
∵ The vertices of ΔDEF are D (8, 4), E (2, 6), and F (3, 1)
∵ ΔDEF dilated by a scale factor 5
∴ k = 5
∵ The origin as the center of dilation
→ That means, multiply the coordinates of every point by 5
∴ D' = (8 × 5, 4 × 5)
∴ D' = (40, 20)
∴ E' = (2 × 5, 6 × 5)
∴ E' = (10, 30)
∴ F' = (3 × 5, 1 × 5)
∴ D' = (15, 5)
∴ The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)
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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James buys a shirt and a pair of socks on sale for 25% off. If the price of the shirt before the sale was $24 and he spent a total of $24, what was the original price of the socks? Enter your answer in the box.
Answer:
The price of the socks is dollar 8
Pls mark nrainliest
Answer:
$8
Step-by-step explanation:
Using the information we already know, we can form an equation:
Let x be the socks' original price.
\((24+x)\) × \(0.75=24\)
Divide both sides by 0.75
\(24+x=32\)
Subtract 24 from both sides
\(x=8\)
The socks' original price was $8.
square root 2x-7 = 1
Answer:
4
Step-by-step explanation:
To solve for x in the equation:
√(2x - 7) = 1
We can start by isolating the square root by squaring both sides of the equation:
(√(2x - 7))^2 = 1^2
2x - 7 = 1
Next, we can isolate the variable by adding 7 to both sides of the equation:
2x = 8
Finally, we can solve for x by dividing both sides by 2:
x = 4
Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.
On the last day of his summer tennis camp, Ron helps his instructor sort through a basket of tennis balls to throw out the old ones. Ron ends up throwing away 13 of the balls. He returns the remaining 42 balls to the basket.
Answer: 6
Step-by-step explanation:
explicit formula for an the nth term of the sequence 38,48,58
Answer:
10n + 28
Step-by-step explanation:
a + d (n-1)
a = 38
d = 10
38 + 10 (n-1)
38 + 10n -10
10n +38 - 10
10n + 28
Hope this helps!
a new whitening toothpaste advertises four shades as the mean number of shades the toothpaste whitens your teeth. one user claims that the mean number of shades the toothpaste whitens your teeth is less than four shades. the user conducts a hypothesis test and fails to reject the null hypothesis. assume that in reality, the mean number of shades the toothpaste whitens your teeth is four shades. was an error made? if so, what type?
It appears that a Type II error was made in the hypothesis test conducted by the user.
What is a Type II error?A Type II error, also known as a "false negative," is a statistical error that occurs when a null hypothesis is actually true, but a hypothesis test fails to reject the null hypothesis, leading to the incorrect conclusion that there is no significant effect or difference when, in fact, there is.
According to the given information:
Based on the given information, it appears that a Type II error was made in the hypothesis test conducted by the user.
In this case, the user claimed that the mean number of shades the toothpaste whitens teeth is less than four, and conducted a hypothesis test to test this claim. However, the given information states that the true mean number of shades the toothpaste whitens teeth is actually four. If the user failed to reject the null hypothesis, it means that they did not find enough evidence to support their claim that the mean number of shades is less than four, even though it is actually true.
This would be a Type II error because the null hypothesis (which assumes that the mean number of shades is four) is actually true, but the test failed to detect this and erroneously failed to reject the null hypothesis. In other words, the user made an error in concluding that there is no significant effect or difference, when in fact there is.
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Help pls. I give all points i have
Answer:
100 cm so .............qsuw
create a class to calculate the areas of differents geometrical shapes, the shapes are square, rectangal, triangle. class should methods name area,
Creation of class to calculate the areas of different geometrical shapes requires to use certain rules which are mentioned in detail here.
How to name a Class?Developers frequently encounter naming issues. I lost count of the number of hours I've spent considering what to name things and the amount of time it took me to decipher code that had inappropriate names. Whether it was an object, methods, class, or something else is irrelevant. Given that we spend more time reading code than developing it, effective naming is usually beneficial in the long run.
Your code becomes better and cleaner when you use excellent names. It aids in helping you recognize the functions of each piece of code intuitively. It makes your application easier to read in the future by other developers as well as yourself.
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20 PTS!!!! HELP!!!!! Look at picture
Answer:
b only
Step-by-step explanation:
Write the slope-intercept form of an equation that passes through the given points.
(4,1),(8,2)
Answer:
y = 1/4x or y = 0.25x
Step-by-step explanation:
In this question, we are trying to write an equation with the given points.
To solve this question, we would use the slope formula: y2-y1/x2-x1
Find the slope by plugging in variables:
2-1/8-4
1/4 = m
The slope would be 1/4
Find the y intercept:
To find the y-intercept, you would need to use the slope you've found and one point, and plug it into the slope-intercept equation:
1 = 1/4(4) + b
Solve:
1 = 1/4(4) + b
1 = 1 + b
Subtract 1 from both sides
0 = b
This means that the y-intercept is 0.
Our equation will be: y = 1/4x
HELP ASAP WILL GIVE BRANILEST Consider the inequality 7 + 4x > x − 2. Select all the values of x that are solutions.
THERE IS MORE THAN ONE ANSWER
Group of answer choices
x = 0
x = 3
x = 6
x = −3
x = −6
Answer:
x=3, x=6, x=-3, x=-6
Step-by-step explanation:
So, every single one except 0.
x > -3
x is greater than -3.
i.e -2, -1, 0, 1, 2, 3, 4, 5, . . . . .
From the given option we can select the correct answers.
We see that,
0, 3, and 6 are the correct answer.
The values of x that are solutions to the given inequality are 0, 3, and 6.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
7 + 4x > x - 2
Solve for x.
7 + 4x > x - 2
Subtract x on both sides.
7 + 4x - x > -2
7 + 3x > -2
Subtract 7 on both sides.
7 + 3x - 7 > -2 - 7
3x > -9
Divide both sides by 3.
x > -3
This means x is greater than -3.
i.e -2, -1, 0 , 1, 2, 3, 4, 5, . . . . .
From the given option we can select the correct answers.
We see that,
0, 3, and 6 are the correct answer.
Thus,
The values of x that are solutions to the given inequality are 0, 3, and 6.
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Calculate the volume of a metal sphere of radius 15 cm and show that it rounds to 14140 cm^3,correct to 4 significant figures.
103,670 cm3 is the amount of water needed to fill the tank.
∴ The cylindrical tank's empty volume, "", is given as follows:
= (25 cm)2 x (60 cm)2 x (11780.972451 cm3)
The formula for the amount of water needed to full total tank only with sphere of volume "V" inside is: = V + = - V
which gives us: 103,670 cm3 - 103,669.72451 cm3 = 117809.72451 cm3 - 14,140 cm3
103,670 cm3 is the amount of water needed to fill the tank.
Describe the cylindrical tank:
In order to unite machined or formed assemblies, cylindrical tanks commonly require end closures that are either spherical or obliquely shaped.
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