Answer:
Below
Step-by-step explanation:
x = original amount of fabric
2/9 * x = amount of cut fabric
8/9 * ( 2/9 * x) = amount of fabric used
8/9 * 2/9 * x = ( 8 *2) / ( 9 * 9) * x = 16 / 81 x
she used 16/81 of her fabric
PLEASE HELP NEED ASAP
Write the quadratic function in the form f(x) = a (x-h)² + k.
Then, give the vertex of its graph.
f(x) = -x²+2x-5
The vertex of the function is,
⇒ Vertex = (1, - 4)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The function is,
⇒ f (x) = -x² + 2x - 5
Now,
We can change the quadratic function in the form,
⇒ f (x) = a (x - h)² + k
Hence, We get;
⇒ f (x) = - x² + 2x - 5
⇒ f (x) = - (x² - 2x + 1 - 1) - 5
⇒ f (x) = - (x - 1)² + 1 - 5
⇒ f (x) = - (x - 1)² - 4
Thus, The vertex of the function is,
⇒ Vertex = (1, - 4)
Learn more about the quadratic equation visit:
brainly.com/question/1214333
#SPJ1
Answer:
attempt 1 out of 2 / problem 5 out of max 16
Jordan Chambers
Slopes of Parallel/Perpendicular Lines
Mar 03, 8:56:20 AM
Watch help video
Find the slope of a line parallel to the line whose equation is
5
�
−
3
�
=
18
5x−3y=18. Fully simplify your answer.
Answer:
d = |c1-c2|/√(a2 + b2).
Step-by-step explanation:
900 p (into rupees)
400 cm (into metre)
Rs. 27.70, Rs. 32.40 and Rs. 44.80 (Add)
9m 80 cm (into centimetre)
6480 m (into kilometres and metre)
Rs. 820.00 - Rs. 512.10 (Subtract)
The conversion addition and subtraction of the numbers are done.
Explain about the unit conversions?The system you use to express how big or tiny something is is called a unit of measurement. Suppose it depends on the subject you're measuring, the unit will change. For instance, you can determine how many pounds or kilograms you are when you step upon that weight machine to weigh yourself.We now need convert between units in order to ensure accuracy and prevent measurement misinterpretation. For example, we would not measure a pencil's length in kilometers. In this situation, one must convert from kilometers (km) to centimeters (cm).So, Solution are:
A. 900 p (into rupees)
1 rupee = 100 p
900 p = 9 rupees
B. 400 cm (into metre)
1 m = 100 cm
400 cm = 4.00 m
C. Rs. 27.70, Rs. 32.40 and Rs. 44.80 (Add)
= Rs. 27.70 + Rs. 32.40 + Rs. 44.80
= 104.9
D. 9m 80 cm (into centimetre)
1 m = 100 cm
= 9m 80 cm
= 9m + 0.80m
= 9.8 m
E. 6480 m (into kilometres and metre)
1 m = 100 cm
6480 m
1 km = 1000m
6480 m = 6.480 km
F. Rs. 820.00 - Rs. 512.10 (Subtract)
Rs. 307.9
Thus, the unit conversion, addition and subtraction of the numbers are done.
know more about unit conversions
https://brainly.com/question/13016491
#SPJ9
Can someone help me please? Thank you
Answer:
1. 6/18 = 1/3
9/21 = 3/7
2. 4/6 = 2/3
2/4 = 1/2
3. 6/12 = 1/2
8/12 = 2/3
4. 2/8 = 1/4
3/6 = 1/2
5. 7/21 = 1/3
8/10 = 4/5
6. 9/12 = 3/4
12/20 = 3/5
7. 8/16 = 1/2
10/25 = 2/5
Drag the descriptions of each investment in order from which will earn the least simple interest to which will earn the most simple interest of 2000
1) investment of 2000 at 10% simple interest for 9 years
2) investment of 2000 at 3% simple interest for 20 years
3) investment of 2000 at 10% simple interest for 3 years
The response to the given question would be that Because it has a interest higher interest rate and a longer term than option 3, option 1 would generate the greatest interest.
what is interest ?By dividing the principal by the interest rate, the passage of time, and other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula used in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating interest is as a portion of the principle amount. For example, if he borrows $100 from a buddy and agrees to pay back the loan at 5% interest, he will only pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must charge interest when you lend it. Typically, interest is determined as an annual percentage of the loan total. The interest rate of the loan is defined as this ratio.
The following would be the order of 2000 simple interest generated on an investment, from least to most:
2000 invested for 20 years at 3% simple interest
2000 invested for three years at 10% simple interest
2000 invested at 10% simple interest for nine years
Because of its longer length and lower interest rate than the other two alternatives, Option 2 would yield the least amount of interest.
Due to its higher interest rate and longer period, option 3 would generate more interest than option 2.
Because it has a higher interest rate and a longer term than option 3, option 1 would generate the greatest interest.
To know more about interest visit:
https://brainly.com/question/28792777
#SPJ1
Your help will be greatly appreciated
Elena is selling tickets to a school play.she sells the tickets for $50 each.her goal is to raise more than $180 selling the tickets.she wants to know how many tickets she can sell to meet her goal
Answer:
15 + t = greather than 180
Step-by-step explanation:
Given ΔABC≈ΔPQR and your scale factor:
Complete the Hotspots
If youd like to show your work please do itll help me better understand.
∠1 = 68°
∠2 = 22°
side 3 = 5 cm
side 4 = 19.5 cm
5: perimeter of ΔABC = 45 cm
6: perimeter of ΔPQR = 30 cm
7: Area of ΔPQR = 30 cm²
How to complete the hotspots for the similar triangles?Similar triangles are triangles that have the same shape but may have different sizes. This means that corresponding angles of similar triangles are equal, and corresponding sides are in proportion.
The hotspots can be completed as follow:
∠1 = 180° - 22° - 90° = 68° (angle sum in a triangle)
∠2 = 22° (similar triangle)
side 3 = √(13²-12²) = 5 cm (Pythagoras)
side 4 = √(18²+7.5²) = 19.5 cm (Pythagoras)
5: perimeter of ΔABC = AB + BC + AC = 7.5 + 19.5 + 18 = 45 cm
6: perimeter of ΔPQR = PQ + QR + PR = 5 + 13 + 12 = 30 cm
7: Area of ΔPQR = 1/2 * base * height = 1/2 * 12 * 5 = 30 cm²
Learn more about similar triangles on:
brainly.com/question/1675117
#SPJ1
How would you graph f(x)=x+3 ? And could you leave an explanation?
Answer:
Step-by-step explanation:
To graph the function f(x) = x + 3, we need to plot a series of points that satisfy the equation. We can do this by picking some values of x and then finding the corresponding values of f(x).
For example, when x = 0, f(x) = 0 + 3 = 3. So we have the point (0, 3) on our graph.
Similarly, when x = 1, f(x) = 1 + 3 = 4. So we have the point (1, 4) on our graph.
We can continue this process for other values of x, and we'll get more points on the graph. For example, when x = -1, f(x) = -1 + 3 = 2. So we have the point (-1, 2) on our graph.
Once we have enough points, we can connect them with a straight line to get the graph of the function. In this case, we'll notice that the graph is a line with a slope of 1 and y-intercept of 3. The slope of the line tells us how much y changes when x increases by 1, and in this case, it changes by 1 unit.
So, to graph f(x) = x + 3, we can start by plotting the point (0, 3) and then draw a line that passes through this point and has a slope of 1. We can use a straightedge or ruler to draw the line as accurately as possible. The resulting graph will be a straight line that intersects the y-axis at the point (0, 3) and has a slope of 1.
A data set includes 103 body temperatures of healthy adult humans having a mean of 98.1°F and a standard deviation of 0.56°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature?
The sample suggests that the true mean is likely to be between 98.0°F and 98.2°F, which is lower than 98.6°F. 98.6°F overestimates the mean body temperature of all healthy humans.
What is standard deviation?Standard deviation is defined as the measure of how spread out numbers are. It measures the average distance between each number in a set of data and the mean. It is used to measure the variation and dispersion of a set of data from its mean.
A 99% confidence interval estimate of the mean body temperature for all healthy humans can be calculated using the following formula: mean ± 2*standard deviation/square root of the sample size. In this case, the confidence interval is 98.1°F ± 0.12°F. This means that the mean body temperature of all healthy humans is likely to be between 98.0°F and 98.2°F.
This sample suggests that 98.6°F is not an accurate representation of the mean body temperature of all healthy humans.
For more questions related to mean,
https://brainly.com/question/30112112
#SPJ1
line n passes through the points (-3, -7.5) and (2, -5). tahlia determined that the equation of line n is y = 0.5x. explain the error tahlia made while determining her equation. be sure to include the correct equation in your explanation
Answer:
Tahlia was correct in remembering that you can find the slope of a line using the slope formula.
She was also correct that the slope is 0.5.
However, if you use the slope-intercept formula y = mx + b, you still have to find b (the y-intercept) by plugging in one of the two points and the slope.
So, if we plug in the first point and the slope into the line, we can find b and thus the full equation of the line:
[tex]-7.5=0.5(-3)+b\\-7.5=-1.5+b\\b=-6\\\\y=0.5x-6[/tex]
A shop employs one man and one woman as shop assistants. The man works for 10 hours per day and the woman for 8 hours per day, and their wages per hour are in the ratio 7 = 5 If the woman receives $24 per day, find the man's daily wage.
If the woman receives $24 per day, the amount of the man's daily wage will be $42.
What does mathematics ratio means?In mathematics, a ratio shows how many times one number contains another. Its says how much of one thing there is compared to another thing.
Let m be the man's hourly wage
Let w be the woman's hourly wage
We are told that the woman's daily wage is $24, which we can express in terms of her hourly wage as: w * 8 = $24
Solving for w, we get:
w = $24 / 8
w = $3
We are also told that the ratio of the man's hourly wage to the woman's hourly wage is 7:5, which we can express as: m / w = 7 / 5
Substituting w = $3, we get:
m / 3 = 7 / 5
Solving for m, we get:
m = (7 / 5) * 3
m = $4.20
Therefore, the man's daily wage is:
m * 10 = $4.20 * 10
m = $42
Read more about ratio
brainly.com/question/2914376
#SPJ1
The first equation from the previous system of
equations is graphed. Graph the second equation to
find the solution of the system of equations.
y =-2x + 4,
y =-;
[*-1
What is the solution to the system?
The solution to the system of equations is x = 1.8, y = 0.4.
What is the solution to the system?
To graph the second equation, we can start by plotting the y-intercept of -1 on the y-axis. Then, using the slope of -1/3, we can find another point on the line.
For example, we can move down one unit and to the right three units from the y-intercept, which gives us the point (3,-2).
Graph of the two equations:
y = −2x + 4,
y = − 1/3x − 1
From the graph (check the image attached), we can see that the two lines intersect at the point (1.8, 0.4).
Therefore, the solution to the system of equations is x = 1.8, y = 0.4.
Learn more about system of equations here: https://brainly.com/question/25976025
#SPJ1
The complete question is below:
The first equation from the previous system of equations is graphed. Graph the second equation to find the solution of the system of equations.
y = −2x + 4,
y = − 1/3x − 1
What is the solution to the system?
5 students want pancakes and 13 students want waffles. What is the ratio of the number of students who want pancakes to the total number of students?
Answer: 5/18. or 5 over 18
Step-by-step explanation:
5 is the number of kids that want pancakes
13 is the number of kids that want waffles
18 is the total number of students
The question is asking what is the ratio of the number of students who want pancakes to the total number of students?
So you just do
5 kids that want pancakes over 18 kids total or 5/18
Simplify the expression. x8• (2x)3 =
Subtract 4x 4 x from 6x 6 x . Divide each term in 2x=−12 2 x = - 12 by 2 2 and simplify. Divide each term in 2x=−12 2 x = - 12 by 2 2 . Simplify the left side.
Answer:
8x^11
Step-by-step explanation:
x^8 * (2x)^3
x^8 * (8x^3)
8x^11
Use the drawing tools to form the correct answer on the graph.
Plot function h on the graph.
J-4,
lz + 5,
h (x)
=
x < -3
X -3
Answer:
I do not have access to drawing tools to create a graph. However, I can explain how to plot the function h on the graph based on the given information.
The function h(x) has two parts:
For x < -3, the value of h(x) is J-4.
For x >= -3, the value of h(x) is x-3.
To plot this on a graph, you would need to draw a vertical line at x = -3 to separate the two parts of the function. Then, for x < -3, you would plot a horizontal line at a height of J-4 to represent the constant value of h(x) in that region. For x >= -3, you would plot the line y = x-3.
I hope this explanation helps you to plot the function h on the graph!
Step-by-step explanation:
Consider the parabola represented by this equation.
4x2 + 4x + 2y + 1 = 0
Which features are features of the parabola?
0
opens down
opens to the left
directrix at y = ㅎ
vertex at (-1,0)
directrix at x =
02/00
HELPPPP MEEEW
The key features of the parabola include the following:
A) opens down
C) directrix at y = 1/8
D) vertex at (-1/2, 0).
How to determine the equation of a parabola?Mathematically, the standard equation of the directrix lines for any parabola is given by this mathematical expression:
y = a(x - h)² + k.
Where:
h and k are the vertex.a represents the leading coefficient.Based on the information provided about the parabola, we have:
4x^2 + 4x + 2y + 1 = 0
2(y + 1/2) = -4(x + 1/2)^2 + 1
(y + 1/2) = -2(x + 1/2)^2 + 1/2
By comparing to the standard form, we have:
Vertex, (h, k) = (-1/2, 0).
Additionally, the distance between the vertex and the directrix is given by:
y = |1/(4a)|
y = |1/(4 × -2)|
y = |-1/8|
y = 1/8.
Read more on parabola here: brainly.com/question/27814369
#SPJ1
3(-4q² - 1)
needs help quickly!
Answer:
= 12q² - 3
Step-by-step explanation:
3(-4q² - 1)
= -12q² - 3
The hypotenuse of a right triangle is 54 inches long. Find possible measures for the legs of the triangle.Round to the nearest tenth. Write an argument that can be used to defend your solution.
Using the Pythagorean theorem we know that the rest 2 sides of the given right triangle are 27 inches long.
The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry.
The Pythagorean theorem, which asserts that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.
The side opposite the right angle is always the hypotenuse of a right triangle. In a right triangle, it is the longest side.
So, we know the Pythagorean theorem which is:
H² = a² + b²
We know that:
H² = a² + b²
54² = a² + b²
Suppose that the given right triangle is also an isosceles triangle with the rest of the sides being of the same length. Then,
54/2 = 27
Similarly,
54² = a² + b²
54² = 27² + 27²
Therefore, using the Pythagorean theorem we know that the rest 2 sides of the given right triangle are 27 inches long.
Know more about hypotenuses here:
https://brainly.com/question/2217700
#SPJ9
I need help with number 1
Answer:
3,418.32yd³
Step-by-step explanation:
For volume you do the area (8)² multiplied by the height (17). 8 x 8 = 64. 64 x 17 = 1,088. you then multiply 1,088 by 3.14, the π, which is 3,416.32. We are using yards so the end result is 3,418.32yd³.
Don't understand? Yeah, I didn't at first either, I had to refresh my memory. If you don't understand, https://youtu.be/fGVlL47TKAw helped me. Have a wonderful day!
18. What is the measure of
40
180
90
80
Answer:
80
Step-by-step explanation:
This is because angles A, B, C, and D are all 40° and angle o looks to be bigger than 40° but is still an acute angle so forth being 80°
what are the terms missing in given number square 5,6,8___,15___
Answer:
11, 20.
Step-by-step explanation:
5,6,8, 11 ,15, 20.
6. What is the slope of the line through the points (-2, -1) and (4, 3)
5/2
2/5
2/3
3/2
Answer: 2/3
Step-by-step explanation: y1-y2 3-(-1) = 4 simplify 4/6=2/3
x1-x2 4-(-2)= 6
Slope is described as "the rise over the run," meaning that it's the fraction of "the change in the y-values compared to the change in the x-values."
In this situation
- the change in the y-values is 3 - (-1) = 4.
- the change in the x-values is 4 - (-2) = 6.
so the fraction is 4/6 or 2/3.
As a general formula, the formula for slope is [tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m = \dfrac{3-(-1)}{4-(-2)}=\dfrac{4}{6}=\dfrac{2}{3}[/tex]
40. Critical Thinking The GCF of two numbers p and q is 5. What is the GCF of p² and q2? Explain your answer.
The GCF of p² and q² is 25. And the explanation is mentioned below.
What is GCF ?The acronym GCF means "Greatest Common Factor." It is often referred to as the "Highest Common Factor" or the "Greatest Common Divisor" (GCD) (HCF). The biggest number that divides two or more other numbers without producing a residue is known as the GCF.
If the GCF of two numbers p and q is 5, then we can express the numbers as:
p = 5a
q = 5b
where a and b are integers, and 5 is the greatest common factor.
Now, let's consider p² and q²:
p² = (5a)² = 25a²
q² = (5b)² = 25b²
We can factor out 25 from both expressions:
p² = 25(a²)
q² = 25(b²)
Notice that the expression for p² has a factor of 25 and a factor of a², while the expression for q² has a factor of 25 and a factor of b².
Since the GCF of p and q is 5, we know that a and b do not have any common factors besides 1 and 5.
Therefore, a² and b² also do not have any common factors besides 1 and 5.
This means that the GCF of p² and q² is simply the factor of 25 that they have in common, which is 25.
So, the GCF of p² and q² is 25.
To know more about GCF check:
https://brainly.com/question/11444998
#SPJ9
find the slope of a line perpendicular to each given line.
y= -2x -2
Answer:
Using the slope-intercept form, the slope is −2 .
Step-by-step explanation:
Step-by-step explanation:
solution
Equation of line,
y=-2x-2
2x+y=2 - - - - - - -1
Now,
slope of line,
m= -x coefficient/ y coefficient
= -2/1
= -2
Slope of required line which is perpendicular to the line
m.m = -1
-2.m = -1
m = -1/-2
m =1/2
Tebogo pays a R4350 a month for house that she is renting.calculate the amount she will pay after a year.
Answer:
R52200
Step-by-step explanation:
I'm making the assumption that R is a currency symbol.
There are 12 months in a year. Simply multiply the cost for one month by 12 to find the total cost for a year:
4350 * 12 = 52200
what are three consecutive even numbers that have a sum of 5760?
Answer:
Hey i'll give you a step-by-step explanation but what do u mean by consecutive even number's do you mean like: 0, 2, 4, 6, 8, 10, 12, ect..?Step-by-step explanation:
A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables is $21. The total cost to rent 8 chairs and 4 tables is $45. What is the cost to rent each chair and each table?
Let's say the cost to rent each chair is "x" and the cost to rent each table is "y". Then we can set up two equations based on the given information:
3x + 2y = 21 (for the first rental)
8x + 4y = 45 (for the second rental)
We can simplify the second equation by dividing both sides by 4:
2x + y = 11.25
Now we have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution:
3x + 2y = 21
2x + y = 11.25
From the second equation, we can solve for y in terms of x:
y = 11.25 - 2x
Then we can substitute this expression for y in the first equation:
3x + 2(11.25 - 2x) = 21
Simplifying and solving for x, we get:
3x + 22.5 - 4x = 21
-x + 22.5 = 21
-x = -1.5
x = 1.5
So the cost to rent each chair is $1.50. We can substitute this value back into either of the original equations to solve for y:
3(1.5) + 2y = 21
4.5 + 2y = 21
2y = 16.5
y = 8.25
So the cost to rent each table is $8.25. Therefore, the answer is $1.50 for each chair and $8.25 for each table.
what is the variability of the mean is 14 and the MAD is 3.2?
The variability of the mean is 0.154
What is mean?The total of all values divided by all of the values constitutes the result of a set, also called as the arithmetic mean. It is considered to be the most popular central trend indicator, and the word "mean" is commonly used to describe it. The average of a figure is known to as the average.
We are Given a normal distribution, the MAD and standard deviation (SD) are roughly inversely proportional to one another as follows:
=> MAD = 1.4826 × SD
Here we can calculate the standard deviation as follows:
=> SD = MAD / 1.4826
Since the MAD in this instance is provided as 3.2,
=> SD ≈ 3.2 / 1.4826 ≈ 2.16
The standard error of the mean (SEM), can be determined as follows, then gives the variability of the mean.
=> SEM ≈ SD / sqrt(n)
=> CV Equals SD/mean
2.16 / 14 ≈ 0.154
To know more about mean visit:
brainly.com/question/30094057
#SPJ1
Find z_{0} such that P(z_{0} < z < 2.2) = 0.7258 Use a TI T - 83Plus / T * 1 - 84 Plus calculator and round the answer to at least four decimal places z_{0} =
Using a standard normal distribution table, the value of z₀ is -0.64
What is the value of Z₀To find z₀, we need to use the standard normal distribution table or calculator. We know that the area under the standard normal curve between z₀ and 2.2 is 0.7258.
Using a standard normal distribution table or calculator, we can find the z-score corresponding to 0.7258.
From the table, we can find that the closest value to 0.7258 is 0.7257, and the corresponding z-score is approximately 0.61.
Therefore, we have:
P(z₀ < z < 2.2) = 0.7258
P(z < 2.2) - P(z < z₀) = 0.7258
Using the z-score table again, we can find that P(z < 2.2) is approximately 0.9861.
So we have:
0.9861 - P(z < z₀) = 0.7258
P(z < z₀) = 0.2603
Using the z-score table again, we can find that the z-score corresponding to 0.2603 is approximately -0.64.
Therefore, we have:
z₀ = -0.64
Rounding to at least four decimal places, we get:
z₀ = -0.6400
Learn more on z-score here;
https://brainly.com/question/25638875
#SPJ1