Answer:
-16y -10
Step-by-step explanation:
So basically, since there are no parentheses, we can use PEMDAS:
y - 9 * y - 8 * y - 10
y - 9y - 8y - 10
-8y -8y - 10
-16y -10
The answer is y^-7 I had this in my lesson
Find the area of the sector and round to the nearest tenth.
Answer:
Step-by-step explanation:
The formula for determining the area of a sector is expressed as
Area = θ/360 × πr²
Where
θ represents the central angle formed by the radii.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
θ = 167 degrees
r = 17.8 yards
Therefore,
Area of sector = 167/360 × 3.14 × 17.8² = 461.5 yards²
HELP PLEASEEE
What are the exact and approximate circumference of a circle whose diameter is 2 1 over 3 km ?
Use 3.14 for π when finding the approximate circumference. Round your answer to the nearest hundreth
Enter your answers in the boxes
The exact circumference of the circle is [tex]7 \frac{49}{150} k m[/tex]
The approximate circumference of the circle is [tex]7.33 k m[/tex]
Explanation:
The diameter of the circle is [tex]2 \frac{1}{3} \mathrm{km}[/tex]
Now, we shall find the circumference of the circle.
The formula to determine the circumference of the circle is given by
[tex]C=\pi d[/tex]
Where C is the circumference , [tex]\pi[/tex] is 3.14 and [tex]d=2 \frac{1}{3} \mathrm[/tex] is the diameter of the circle.
The exact circumference of the circle is given by
[tex]\begin{aligned}C &=\pi d \\&=(3.14)\left(2 \frac{1}{3}\right) \\&=(3.14)\left(\frac{7}{3}\right) \\&=\frac{21.98}{3}\end{aligned}[/tex]
Multiply both numerator and denominator by 100, we get,
[tex]C=\frac{2198}{300} \\C=\frac{1099}{150}[/tex]
Converting [tex]\frac{1099}{150}[/tex] into mixed fraction, we get,
[tex]C=7 \frac{49}{150}[/tex]
Thus, the exact circumference of the circle is [tex]7 \frac{49}{150} k m[/tex]
The approximate value of the circumference can be determined by dividing the value [tex]\frac{1099}{150}[/tex]
[tex]C=\frac{1099}{150}=7.327[/tex]
[tex]C=7.33km[/tex]
Thus, the approximate circumference of the circle is [tex]7.33 k m[/tex]
construct a line perpendicular to m through P. Then find the distance from P to m.
Line m contains points (1, 1) and (5,1). point P has coordinates of (2, -4)
Line perpendicular to m is y =–4.
Distance from P to m is 5 units.
Solution:
Line m contains points (1, 1) and (5, 1).
Slope passing through two points formula:
[tex]$\text{slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]$=\frac{1-1}{5-1}[/tex]
Slope = 0
Slope of the line perpendicular to the line m:
[tex]$\text{Slope}=\frac{-1}{\text{slope}}=0[/tex]
Equation of a line passing through one point and slope formula:
[tex]y-y_1=m(x-x_1)[/tex]
Here, m = 0 and P(2, –4)
[tex]$\Rightarrow y-(-4)=0(x-2)[/tex]
[tex]$\Rightarrow y+4=0[/tex]
[tex]$\Rightarrow y=-4[/tex]
⇒ y = –4
Equation of a line perpendicular to m and passing through P is y = –4.
Option C is the correct graph. Because it only has slope 0 and P(2, –4).
Point of intersection where line m and P meets is (2, 1).
Let us find the distance between the line m in the point (2, 1) and P(2, –4).
Distance formula:
[tex]\text {Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]=\sqrt{(2-2)^2+(-4-1)^2}[/tex]
[tex]=\sqrt{25}[/tex]
= 5
Distance = 5 units
Hence line perpendicular to m is y =–4.
Distance from P to m is 5 units.
Samantha makes hair barrettes from ribbon. She has 3 1/4 ft of ribbon and uses 1/2 ft of ribbon to make each barrette. How many completed barrettes can Samantha make with the ribbon she has.
Answer: she can only make 6 completed barrettes
Step-by-step explanation:
Samantha makes hair barrettes from ribbon. The total length of ribbon that she has is 3 1/4 feet. Converting 3 1/4 feet to improper fraction, it becomes 13/4 feet.
She uses 1/2 feet of ribbon to make each barrette. This means that the number of completed barrettes that Samantha can make with the ribbon she has would be
(13/4)/(1/2) = 13/4 × 2/1
= 6 1/2 barrettes
The complete barrette must be whole number.
Therefore, she can only make 6 completed barrettes
Answer:
6
Step-by-step explanation:
Jenna is a swimmer and trains every day. The schedule shown outlines the number of hours she trains each day. If she misses the Wednesday practice, what is the total number of hours that she trains?
A) 11 hours
B) 11 3/4 hours
C) 12 hours
D) 12 1/4 hours
Answer:
c
Step-by-step explanation:
in the question there is a confusion about " schedule shown" , either it is missing or by schedule shown it mean looking to the choices given
so if it is missing then sorry, but if it mean choices then the only possible answer is option C i.e. 12 hours because she works daily and missing only one day thus possible answer is 12 i.e. 6*2=12
hope it may help you
Answer:D
Step-by-step explanation:
Hope this helps
Evaluate the expression. 13!/9!
Answer:
17160
Step-by-step explanation:
1×2×3×4×5×6×7×8×9×10×11×12×13 / 1×2×3×4×5×6×7×8×9
10×11×12×13=17160
Determine whether the underlined value is a parameter or a statistic. Mark retired from competitive athletics last year. In his career as a sprinter he had competed in the 100-meters event a total of 328 times. His average time for these 328 races was Modifying 15 seconds with underline.
Answer: Parameter
Step-by-step explanation:
A parameter is defined as :
A value that is evaluated by considering the entire population.For example : Population mean , population standard deviation etc.A statistic is defined as :
A value that is evaluated by considering a sample of the population.For example : sample mean , sample standard deviation etc.Given : Mark had competed in the 100-meters event a total of 328 times.
Here , Population of interest = Number of times Mark competed in the 100-meters event =328
His average time for these 328 races was 15 seconds.
Since this average is calculated from the entire population, therefore , 15 is representing a parameter .
Hence, the correct answer is : "Parameter"
A recipe for lemonade punch calls for 6 cups of lemonade for every 24 cups of punch. Which equation can be used to find x, the percentage of lemonade in the recipe?
Answer:
The percentage of lemonade in the recipe is 25%.
Step-by-step explanation:
Given:
A recipe for lemonade punch calls for 6 cups of lemonade for every 24 cups of punch.
Now, to find [tex]x[/tex], the percentage of lemonade in the recipe.
In the recipe 6 cups of lemonade for every 24 cups of punch.
The percentage of lemonade = Cups of lemonade / cups of punch.
So, the equation to get the percentage:
[tex]x=\frac{6}{24} \times 100[/tex]
[tex]x=0.25\times 100[/tex]
[tex]x=25\%.[/tex]
Therefore, the percentage of lemonade in the recipe is 25%.
HELP ASAP PLEASE!!!!!!!
Name a segment parallel to segment FC:
Name a segment skew to segment AB:
Answer:
Segment [tex]EB[/tex] is parallel to segment [tex]FC[/tex].
Segment [tex]CD[/tex] is skew to segment [tex]AB[/tex].
Step-by-step explanation:
For this exercise it is necessary to know the following definitions:
1. Coplanar lines are defined as those lines that lie in the same plane.
2. Non-Coplanar lines are defined as those lines that does not lie in the same plane.
3. Parallel lines are defined as Coplanar lines that never intersect each other.
4. Skew lines are defined as Non-Coplanar lines that never intersect each other.
Knowing those definitions, you can solve the exercise.
You need to analize the figure given in the exercise.
Based on the explanation given above, you can conclude that the segment [tex]EB[/tex] is parallel to the segment [tex]FC[/tex], because they are in the same plane and they never intersect each other.
You can also identify in the figure that the segment [tex]AB[/tex] and the segment [tex]CD[/tex] are not in the same plane and they never intersect each other.
Therefore, you can determine that the segment [tex]CD[/tex] is skew to the segment [tex]AB[/tex].
Divide using synthetic division
(3x³ - 17x² + 15x - 25)/(x - 5) =
= (3x³ - 15x² - 2x² + 0x + 5x - 25)/(x - 5)
= [3x²(x - 5) - 2x(x - 5) + 5(x - 5)]/(x - 5)
= (3x² - 2x + 5)(x - 5)/(x - 5)
= 3x² - 2x + 5
(5x³ + 18x² + 7x - 6)/(x + 3) =
= (5x³ + 5x² + 13x² + 13x - 6x - 6³)/(x + 3)
= [5x²(x + 1) + 13x(x + 1) - 6(x + 1)]/(x + 3)
= (x + 1)(5x² + 13x - 6)/(x + 3)
= (x + 1)(5x² + 15x - 2x - 6)/(x + 3)
= (x + 1)[5x(x + 3) - 2(x + 3)]/(x + 3)
= (x + 1)(5x - 2)(x + 3)/(x + 3)
= (x + 1)(5x - 2)
(4x³ + 8x² - 9x - 18)/(x + 2) =
= [4x²(x + 2) - 9(x + 2)]/(x + 2)
= (4x² - 9)(x + 2)/(x + 2)
= (4x² - 9)
= (2x - 3)(2x + 3)
(9x³ - 16x - 18x² + 32)/(x - 2) =
= [x(9x² - 16) - 2(9x² - 16)]/(x - 2)
= (9x² - 16)(x - 2)/(x - 2)
= 9x² - 16
= (3x - 4)(3x + 4)
(- x³ + 75x - 250)/(x + 10) =
= ( - x³ + 5x² - 5x² + 25x + 50x - 250)/(x + 10)
= [ - x²(x -5) - 5x(x - 5) + 50(x - 5)]/(x + 10)
= - (x - 5)(x² + 10x - 5x - 50)/(x + 10)
= - (x - 5)[x(x + 10) - 5(x + 10)]/(x + 10)
= - (x - 5)(x - 5)(x + 10)/(x + 10)
= - (x - 5)²
(3x³ - 16x² - 72)/(x - 6) =
= (3x³ - 18x² + 2x² - 72)/(x - 6)
= [3x²(x - 6) + 2(x² - 36)]/(x - 6)
= [3x²(x - 6) + 2(x - 6)(x + 6)]/(x - 6)
= [3x² + 2(x + 6)](x - 6)/(x - 6)
= 3x² + 2x + 12
Technician A recently installed software that required modifications to folder permissions. Users are now having trouble with other software and receiving permissions errors. What can Technician B use to determine what changes were made during installation?
Answer:
With Processor Monitor Tool Technician B should be able to determine what changes were made during installation
Step-by-step explanation:
Technician B, can you a utility software tool called Processor Monitor to check track of system logs.
Process Monitor is an advanced monitoring tool for Windows that shows real-time file system, Registry and process/thread activity. It features include, an extensive list of enhancements including rich and non-destructive filtering, comprehensive event properties such session IDs and user names, reliable process information, full thread stacks with integrated symbol support for each operation, simultaneous logging to a file, and much more.
Its uniquely powerful features will make Process Monitor a core utility in your system troubleshooting and malware hunting toolkit.
With Processor Monitor Tool Technician B should be able to determine what changes were made during installation.
Technician B can use the Event Viewer to determine the changes made to folder permissions during software installation.
Explanation:Technician B can use the Event Viewer to determine the changes made to folder permissions during software installation. Here's how:
Open the Event Viewer by searching for it in the Windows search bar.In the Event Viewer, navigate to Windows Logs and click on Security.In the right-hand pane, look for events with a Task Category of File System. These events will provide information about changes made to folder permissions.Review the details of these events to identify the modifications made during software installation.Using the Event Viewer, Technician B can effectively track the changes that were made and troubleshoot the permissions errors experienced by users.
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Given the arithmetic sequence an=4-4(n-1), what is the domain for n?
The domain for n is [tex]-\infty<n<\infty[/tex]
Explanation:
The arithmetic sequence is
To determine the domain of the sequence, let us consider [tex]a_n[/tex] as [tex]f(n)[/tex]
Thus, the sequence becomes, [tex]f(n)=4-4(n-1)[/tex]
The domain of the function is the set of all x-values for which the function is real and well defined.
Since, the function has no domain constraints or undefined points. Therefore, the domain of the function is
Thus, the domain of the arithmetic sequence [tex]a_n=4-4(n-1)[/tex] is [tex]-\infty<n<\infty[/tex]
Naledi climbed up a mountain. Her initial altitude was 40 meters above sea level, and it increased by 10 meters each hour.Let )g(n)be Naledi's altitude at the beginning of the nth hour of her climb.G is a sequence. What kind of sequence is it? Answer
Answer:
ARITHMETIC SENTENCE
Step-by-step explanation:
Final answer:
Naledi's altitude sequence is an arithmetic sequence because it increases by a constant amount each hour.
Explanation:
Naledi's altitude at the beginning of the nth hour of her climb can be described by the function g(n), where g(n) is the altitude at that hour. Since she starts at 40 meters above sea level and increases her altitude by 10 meters every hour, the sequence representing her altitude over time is an arithmetic sequence. This is because each term in the sequence increases by a constant value, which is the definition of an arithmetic sequence.
The general formula for the nth term of an arithmetic sequence is aₙ = a₁ + (n - 1)d, where a₁ is the first term and d is the common difference between terms. In Naledi's case, a₁ is 40 meters (her initial altitude), and d is 10 meters (the constant increase each hour).
The number of people estimated to vote in an election was 7,000. The actual number of people who voted was 5,600.
What is the question that is being asked?
Out of 40 coins, 16 are dimes. Half of the remaining coins are quarters and the rest are pennies and nickels. There are 2 nickels for every penny. How many pennies are there? A. 3 B. 4 C. 9 D. 12
Answer: Option B is the correct answer.
Step-by-step explanation:
Let x represent the number of pennies.
Out of 40 coins, 16 are dimes. This means that the number of coins remaining is
40 - 16 = 24
Half of the remaining coins are quarters. This means that the number of quarters is
1/2 × 24 = 12 quarters
the rest are pennies and nickels. This means that the total number of
pennies and nickels is 12
There are 2 nickels for every penny. This means that the number if nickels is 2x. Therefore,
2x + x = 12
3x = 12
x = 12/3 = 4
there are 4 pennies
Answer:
The answer is B.) 4
Step-by-step explanation:
I took a quiz and according to that its correct
Please help
Julie takes her kids to a playground that has the shape shown.
A. While her kids are playing, Julie wants to get some exercise. If she does 2 laps around the playground, how much distance has she covered?
B. The park service is creating a flyer for the playground and wants to list the area that the playground covers. How much area does the playground cover?
Answer:
a=128 feet b=256 feet
Step-by-step explanation:
hope i got it
Answer:
A.) 128FT
B.) A=256
Step-by-step explanation:
A.)
16 x 4 = 64FT
62 x 2 = 128FT
So, 2 Laps Would Equal Up To 128FT.
B.)
Find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
David says that the original price of the shorts was $41. Does his answer seem reasonable? Defend your answer by writing and solving an equation that represents the situation
Answer:
The response does not seem reasonable.
Step-by-step explanation:
The current price of shorts is a sum of the original price plus profit. In this case, a simple formula is given:
Profit = Selling price - Buying price
Therefore, the selling price can be anything less than $ 41.
Expressing the information in a linear equation gives x ≤ 41
where x is the buying price of the shorts.
To determine if David's answer that the original price of the shorts was $41 seems reasonable, we can use an equation to represent the situation. By solving the equation, we find that the original price of the shorts is $21.98, not $41.
Explanation:To determine if David's answer that the original price of the shorts was $41 seems reasonable, we can use an equation to represent the situation. Let's assume the original price of the shorts is x dollars.
If the total cost of the T-shirt and shorts, including tax, is $22.45 as given, we can write the equation: x + 1.47 = 22.45.
Simplifying the equation, we subtract 1.47 from both sides: x = 21.98.
Therefore, the original price of the shorts would be $21.98, not $41. Hence, David's answer does not seem reasonable.
the volume of a box is represented by the roduct (x^2+5x+6) times (x+4). Give the polynomial that represents the length of the box.
Answer:
(x+3)
Step-by-step explanation:
Volume = Base area × height
Base area = x²+5x+6
= x²+2x+3x+6
= x(x+2)+3(x+2)
= (x+2)(x+3)
Since the length is the longer side, length = (x+3)
Dimensions of the box are:
(x+2)×(x+3)×(x+4)
How many pieces 3/7 of a foot each can I make out of 7/2 feet of rope?
Answer:
3/2
Step-by-step explanation:
(7/2)/(3/7) = 3/2 or 1.5 pieces
Answer:
The answer to your question is 8 pieces
Step-by-step explanation:
Data
rope = 7/2
length of a piece = 3/7
Process
1.- Divide 7/2 by 3/7
[tex]\frac{7}{2} / \frac{3}{7} = \frac{49}{6}[/tex]
2.- Divide 49 by 6 to get the pieces that can be made out of the rope
49 / 6 = 8 1/6
3.- Conclusion. We can get 8 pieces of the rope and there will be a remainder of 1/6.
In 2004 the population in Morganton, Georgia, was 43,000. The population in Morganton doubled by 2010. If the growth rate remains the same, what is the expected population in Morganton in 2020?
Answer:
263,606.9
Step-by-step explanation:
In 2004 the population in Morganton, Georgia, was 43,000.
(0, 43000)
The population in Morganton doubled by 2010
In 6 years the population is doubled (86000)
(6,86000)
[tex]A= a(b)^t[/tex]
Use (0,43000) in the above equation
[tex]A= a(b)^t\\43000= a(b)^0\\a=43000[/tex]
Now plug in (6,86000)
[tex]A= a(b)^t\\A= 43000(b)^t\\86000=43000(b)^6\\2=b^6\\b=\sqrt[6]{2} \\b=1.12[/tex]
[tex]A=43000(1.12)^t[/tex]
Now find out A when t=16 (2020)
[tex]A=43000(1.12)^t\\A=43000(1.12)^{16}\\A=263606.9[/tex]
If the growth rate from 2004 to 2010 continues, the expected population in Morganton, Georgia in 2020 would be around 172,000 as the population is doubling every 6 years.
Explanation:The population of Morganton, Georgia in 2004 was 43,000 and it doubled by 2010 to 86,000. This shows a constant growth rate in which the population size doubles every 6 years. If this rate of growth remains consistent, the population of Morganton is expected to double again by 2020. Therefore, by 2020, the population of Morganton, Georgia could be around 172,000 people.
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The only types of vehicles sold at a certain dealership last month were sedans, trucks, and vans. If the ratio of the number of sedans to the number of trucks to the number of vans sold at the dealership last month was 4:5:7, respectively, what was the total number of vehicles sold at the dealership last month?1) The number of vans sold at the dealership last month was between 10 and 20.
2) The number of sedans sold at the dealership last month was less than 10.
Answer:
Therefore, 32 is he total number of vehicles sold at the dealership last month.
Step-by-step explanation:
We know that the ratio of the number of sedans to the number of trucks to the number of vans sold at the dealership last month was 4:5:7, respectively. We have :
[tex]4:5:7 \implies 4x+5x+7x=16x[/tex]
Therefore, 16x is he total number of vehicles sold at the dealership last month.
We know that:
1) The number of vans sold at the dealership last month was between 10 and 20.
2) The number of sedans sold at the dealership last month was less than 10
We get:
[tex]10\leq 7x \leq 20\\\implies x=2\\\\\\4x\leq 10\\x=1 \, \vee \, x=2[/tex]
We know that x is a positive integer. In order to satisfy both conditions, this is possible only if x = 2.
We get [tex]16x=16\cdot 2=32[/tex]
Therefore, 32 is he total number of vehicles sold at the dealership last month.
For a given geometric sequence, the 4th term, a4, is equal to 19625, and the 9th term, a9, is equal to −95. Find the value of the 13th term? a 13 If applicable, write your answer as a fraction.
Answer:
The value of the [tex]13^{th}[/tex] term is ≈ 1.
Step-by-step explanation:
A geometric sequence is a series of numbers where each term is computed by multiplying the previous term by a constant, r also known as the common ratio.
The formula to compute the [tex]n^{th}[/tex] term of a GP is: [tex]a_{n}=a_{1}\times r^{n-1}[/tex]
Here, a₁ is the first term.
It is provided that a₄ = 19625 and a₉ = 95.
Determine the value of a₁ and r as follows:
[tex]\frac{a_{4}}{a_{9}}=\frac{a_{1}r^{4-1}}{a_{1}r^{9-1}} \\\frac{19625}{95}= \frac{r^{3}}{r^{8}}r^{5}=\frac{95}{19625}\\ r=(\frac{95}{19625})^{1/5}\\=0.344[/tex]
The common ratio is, r = 0.344.
The value of a₁ is:
[tex]a_{4}=19625\\a_{1}\times(0.344)^{3}=19625\\a_{1}=\frac{19625}{0.040707584} \\=482096.898\\\approx482097[/tex]
The first term is, a₁ = 482097.
13th term of this geometric sequence is:
[tex]a_{13}=a_{1}\times r^{13-1}\\=482097\times (0.344)^{12}\\=1.3234\\\approx1[/tex]
Thus, the [tex]13^{th}[/tex] term is approximately equal to 1.
A box that has no lid is 13x8x4 in dimensions. What is the maximum number of 3x3x2 bricks able to fit this box without going out of the dimensions or overlapping?
Answer:
Maximum number of 3x3x2 bricks = 23.
Step-by-step explanation:
The volume of the box = 13 x 8 x 4 = 416 cubic unit
The volume of the brick with the dimensions = 18 cubic unit
Now as per the question, we want to fill an empty box with 416 cubic unit with the help of bricks which are 18 cubic unit each.
The maximum number of bricks required to fill the box = Volume of the box ÷ Volume of one brick.
→ The number of bricks required to fill the box = 416 ÷ 18 = 23.11
But, number of bricks can never be in fraction so it means a maximum of 23 bricks can accommodate in the given box. We will not choose 24 or more than 24 bricks because these much bricks will go out of the dimensions.
Note: Volume of a cuboid = length x breadth x height (l x b x h).
To solve the problem, you divide each dimension of the box by the corresponding dimension of the brick, rounding down to the nearest whole number to get the number of bricks that can fit in each direction. You then multiply these together to get the total. In this case, a maximum of 16 bricks can fit.
Explanation:The problem at hand requires spatial reasoning and division. The challenge is to determine how many 'bricks' (which we'll engage as 3x3x2 units) can fit into a larger 'box' (which is 13x8x4 units). This can be determined by individually dividing the dimensions of the box by the dimensions of the brick.
For instance, considering the length, we divide 13 by 3 to get approximately 4.33. Considering that we can't fractionate a brick, we can place only 4 bricks along the length. Using the same approach, we divide 8 by 3 for the width to get approximately 2.67, and we can place 2 bricks here. It's the same for the height; 4 divided by 2 is 2. Therefore, we can place 2 bricks along the height.
To get the total number of bricks that can fit in the box, multiply the numbers together: 4 (length) x 2 (width) x 2 (height), giving a result of 16 bricks. Hence, a maximum of 16 bricks of size 3x3x2 can fit into a box of size 13x8x4 without going out of the box or overlapping.
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What is the domain of the function
Answer:
-∞<x<∞
Step-by-step explanation:
Answer:
First option
Step-by-step explanation:
There's no value of x which makes the function undefined .
So x can take any real value
i.e. -infinity < x < +infinity
Brenda is building a square fence. She places a fence post at (─3,2). What is the location of the post (in which quadrant) that reflects (─3, 2) across the y-axis?
The location of the reflected post will be in the first quadrant at point (3, 2).
To reflect a point across the y-axis, we simply negate the x-coordinate while keeping the y-coordinate unchanged.
Given the point (-3, 2), when we reflect it across the y-axis, the x-coordinate becomes positive 3, while the y-coordinate remains 2. Therefore, the reflected point is (3, 2).
Since the original point (-3, 2) lies in the second quadrant (negative x, positive y), the reflected point (3, 2) will lie in the first quadrant (positive x, positive y).
Kojo and Duku are driving. Kojo is 14 meters below the surface of the water. Duku is 5 meters above kojo.What is Duku position relative to the surface of the water ?
Duku is 9 meters below the surface of the water, calculated by adding Duku's 5 meters above Kojo's position to Kojo's 14 meters below the surface.
Explanation:The question asks about Duku's position relative to the surface of the water given Kojo is 14 meters below the surface and Duku is 5 meters above Kojo. To find Duku's position, subtract 5 meters (Duku's position above Kojo) from -14 meters (Kojo's position below the surface). Therefore, Duku's position relative to the surface of the water is -14 meters + 5 meters = -9 meters. This means Duku is 9 meters below the surface of the water.
A force of 10 pounds is required to stretch a spring 4 inches beyond its natural length. Assuming Hooke's law applies, how much work is done in stretching the spring from its natural length to 6 inches beyond its natural length?
Answer:
The work done is 5.084 J
Step-by-step explanation:
From Hooke's law of elasticity,
F = ke
F/e = k
F1/e1 = F2/e2
F2 = F1e2/e1
F1 = 10 lbf, e2 = 6 in, e1 = 4 in
F2 = 10×6/4 = 15 lbf
Work done (W) = 1/2F2e2
F2 = 15 lbf = 15×4.4482 = 66.723 N
e2 = 6 in = 6×0.0254 = 0.1524 m
W = 1/2×66.723×0.1524 = 5.084 J
PLZ HELP, GIVING BRAINLIEST, LOOK AT THE GRAPH!!
Which of the following is the equation of the circle seen in the graph below?
A. (x + 1)^2 + (y - 4)^2 = 9
B. (x - 1)^2 + (y + 4)^2 = 9
C. (x - 1)^2 + (y + 4)^2 = 9
D. (x + 1)^2 + (y - 4)^2 = 9
Answer:
The answer to your question is letter B or C they have the same response.
Step-by-step explanation:
From the graph we get the center and the radius
- The center is the point shown in the graph and its coordinates are (1, -4).
- The length of the radius is 3 units, from the center we count horizontally the number of squares (3)
Substitution
(x - 1)² + (y + 4)² = 3²
or (x - 1)² + (y + 4)² = 9
A student survey was conducted in a major university, where data were collected from a random sample of 750 undergraduate students. One variable that was recorded for each student was the student's answer to the question: What is your favorite type of movie? Action/Comedy/Drama/Family/Horror/Musical/Science Fiction. These data would be best displayed using which of the following?a. histogramb.IQRc.boxplotd.stemplote.pie chart
Answer:
e. Pie Chart
Step-by-step explanation:
In a student survey, students are asked about their favorite movie and so, the favorite movies can be divided into different categories but can't be meaningfully represented in numerical form. Thus, the favorite movie is a qualitative variable. For the qualitative type of variable pie chart is most suitable chart.
Histogram, IQR, box plot and steam plot are created for quantitative type of data.
Thus, the data would be best displayed by using Pie chart.
A salesperson earns $99 per day, plus a 9% sales commission. Find a function that expresses her earnings as a function of sales, and use it to compute her earnings if the total sales were $999. The salesperson would take home $____ for the day?
Answer: The salesperson would take home $1088.01 for the day
Step-by-step explanation:
Let x represent the salesperson's total sales per day.
A salesperson earns $99 per day, plus a 9% sales commission. This means that in a day in which the salesperson makes a total sales of x dollars, the total amount that he would earn is
99 + 0.09x
Therefore, the function that expresses her earnings as a function of sales is
99 + 0.09x
if the total sales were $999, then the amount that the salesperson would take home for the day is
99 + 0.99 × 999
= $1088.01