Answer:
13.8 feet long.
Step-by-step explanation:
The end two pieces are 3.6 feet long.
The middle board must be 0.82 longer than the 3.6 feet.
The easy way to do this is to realize that the length of the middle part is 1.82 times the length of each of the end pieces.
1.82 * 3.6 = 6.552 feet long.
So the total length of the board must be
3.6 + 3.6 + 6.552 = 13.752 feet long. (That's a pretty long board).
Rounded it becomes 13.8 feet long.
I am stuck please help with this graph.
An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.
How to interpret and determine the equation of g(x)?By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;
f(x) = |x|
y = A|x + B| + C
g(x) = -1/4|x + 1| - 2
In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.
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0.445 to a fraction in simplest form and a percent.
Answer:
0.445 as a fraction in simplest form: 89/200
0.445 as a percent: 44.5%
Step-by-step explanation:
Jan went to the mall to buy 9 crop tops but she seen 201 other and she 1,000,000,000,000,000,000,000,00 dollars
Answer: buy all the crop tops
Step-by-step explanation:
Answer:
Well with that amount of money u should most definitely buy them, if you liked the of course
Step-by-step explanation:
I'm just saying
Jillian needs to cross a stream that is 4 1⁄4 yards wide. She wants to use a nearby log which is 11 feet long. Is the log long enough to reach from one end of the stream to the other?
Show that the point (å,ä ) is on the perpendicular bisector of the line segment with end points
(Ů,ü ) and (ĝ,ġ )
To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.
1. Determine the midpoint of the line segment:
- The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:
\(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.
In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).
2. Calculate the midpoint coordinates:
- Substitute the values into the midpoint formula to find (x_mid, y_mid).
3. Find the slope of the line segment:
- Use the slope formula: slope = (y2 - y1) / (x2 - x1).
Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.
4. Determine the negative reciprocal of the line segment's slope:
- Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.
5. Write the equation of the perpendicular bisector:
- Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.
6. Substitute the point (å, ä) into the equation:
- Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.
7. Verify that the equation holds true:
- If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.
By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).
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Help!!!!!!!!!!!!!!!!!
Answer:
Hello! answer: 94.37
Hope this helps!
is 2.7 < 1.9 reasonable? Explain
Answer:
no because 1.9 is less then 2.7 so the thing is wrong
No, because 2.7 < 1.9 would mean 2.7 is less than 1.9. This is incorrect.
However, 2.7 > 1.9 is correct.
11. In rhombus MATH, MS = 6 and SA = 8. Find the perimeter of the rhombus.
M
А
8
A
S
I
T
Answer:
40
Step-by-step explanation:
A rhombus diagonals form perpendicular angles. It also bisects and form 4 right triangles. Looking at triangle MAS, we can use pythagorean theorem to find the side MA.
\(ms {}^{2} + sa {}^{2} = {ma}^{2} \)
ms=6, sa =8 so we plug that in.
\(6 {}^{2} + {8}^{2} = ma {}^{2} \)
Simplify
\(36 + 64 = ma {}^{2} \)
\(100 = ma {}^{2} \)
take sqr root
\( \sqrt{100} = ma\)
\(ma = 10\)
Now let find the perimeter
Since perimeter of a Rhombus is 4a where a is the length of a side. We plug it in
\(4(10) = 40\)
The answer is 40
PLEASE HELP ME!!! QUICK
Answer:
The car will have 26 miles of charge
Step-by-step explanation:
260 - 232 = 26
Please help me I’m really stuck
Answer: 3/20.
Step-by-step explanation: Yellow is mentioned three times in the table, so the numerator would be three and the denominator would be 20 since Danielle recorded 20 draws in the table.
prove the following identity:
hope you understood the answer
Abeer bought a desk on sale for $363. This price was 34% less than the original price.
Answer:
239.58
Step-by-step explanation:
363*0.34=123.42
363-123.42=239.58
Answer:
$550Step-by-step explanation:
Let the original price is x.
We have:
x - 34% = 363x*(1 - 0.34) = 3630.66x = 363x = 363/0.66x = 550Original price was $550
find the coordinates of point $p$ along the directed line segment $ab$ so that $ap$ to $pb$ is the given ratio. $a\left(-3,\ -5\right),\ b\left(9,\ -1\right);$ $1$ to $3$ the coordinates of point $p$ are $\text{(}$ , $\text{)}$ .
Therefore, the coordinates of point P are(-3+√(2), -5-√(2)).
What is coordinate?A coordinate is a set of values that specifies the position of a point or an object in a geometric space. In two-dimensional Euclidean space (i.e., on a plane), the most common coordinate system is the Cartesian coordinate system, which consists of two axes, the x-axis and the y-axis, that intersect at a point called the origin. Any point in the plane can then be uniquely identified by its x-coordinate (its horizontal distance from the origin) and its y-coordinate (its vertical distance from the origin).
Here,
To find the coordinates of point P, we need to use the ratio given to divide the line segment AB into two parts.
Let's first find the coordinates of point A and B:
A = (-3, -5)
B = (1, -9)
The ratio given is 1:3, which means that AP:PB is also 1:3. Let's call the coordinates of point P (x, y).
We can use the midpoint formula to find the coordinates of the midpoint M of line segment AB:
M = ((-3+1)/2, (-5-9)/2) = (-1, -7)
Now, we can use the fact that AP:PB is 1:3 to set up the following equation:
AP/PB = 1/3
We can rewrite this as:
AP = (1/4) AB
where AB is the distance between A and B:
AB = √((1-(-3))² + (-9-(-5))²)
= √(16+16)
=4√(2)
So, we have:
AP = (1/4) AB = (1/4) * 4√(2)
= √(2)
We also know that the vector AP is in the same direction as the vector AM, which goes from A to M:
AM = (-1-(-3), -7-(-5))
= (2, -2)
To find the vector AP, we can scale AM to have length sqrt(2):
AP = (√(2)/||AM||) AM
= (√(2)/2) (2, -2)
= (√(2), -√(2))
Finally, we can find the coordinates of point P by adding AP to the coordinates of A:
P = A + AP
= (-3, -5) + (√(2), -√(2))
= (-3+√(2), -5-√(2))
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There is a 1/5 chance that a student will be in Mrs. Turner's math class. if there are 30 students in her class, how many students are there in all?
Answer:
6 should be the answer
Step-by-step explanation:
4. Write the equation of the line in SLOPE-INTERCEPT FORM that passes through the given points(4,2) and (0,6)
The slope intercept form equation is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The formula for determining slope is expressed as
slope, m = (y2 - y1)/(x2 - x1)
From the information given,
y2 = 6, y1 = 2
x2 = 0, x1 = 4
Slope, m = (6 - 2)/(0 - 4) = 4/- 4
m = - 1
We would determine the y intercept, c by substituting m = - 1, y = 6 and x = 0 into the slope intercept equation. It becomes
6 = - 1 * 0 + c
6 = c
c = 6
The equation would be
y = - x + 6
Please help would mean alot
Answer:
5
Step-by-step explanation:
they are all being multiplied by 5.
Answer:
Y = 5x
Step-by-step explanation: It is that because they are multiplying everything by 5.
Which two values are irrational?
370
A
9
B 2.910
CV52
D 150
33
E
4
Question 1(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The amount of laps remaining, y, in a swimmer's race after x minutes can be represented by the graph shown.
coordinate grid with the x axis labeled time in minutes and the y axis labeled number of laps remaining with a line from 0 comma 24 and 6 comma 0
Determine the slope of the line and explain its meaning in terms of the real-world scenario.
The slope of the line is 6, which means that the swimmer will finish the race after 6 minutes.
The slope of the line is 24, which means that the swimmer must complete 24 laps in the race.
The slope of the line is −4, which means that the swimmer will complete 4 laps every minute.
The slope of the line is negative one fourth, which means that the swimmer completes a lap in one fourth of a minute.
Question 2(Multiple Choice Worth 2 points)
(Systems of Linear Equations MC)
Two siblings, sibling A and sibling B, are saving money for their summer vacation. The amount of money that sibling A has in their savings account, y, can be represented by the equation y = 10x + 25, where x represents the number of weeks. Sibling B's savings can be represented by the equation y = 5x + 50.
Based on the graph of this system of linear equations, after how many weeks will their savings accounts have the same amount of money?
2.5 weeks
5 weeks
15 weeks
75 weeks
Question 3(Multiple Choice Worth 2 points)
(Identifying Transformations LC)
Polygon ABCD is rotated to get polygon A′B′C′D′.
Graph of polygon ABCD in quadrant 2 with point A at negative 7 comma 5, point B at negative 2 comma 8, point C at negative 2 comma 4, and point D at negative 4 comma 3 and polygon A prime B prime C prime D prime in quadrant 1 with point A prime at 5 comma 7, point B prime at 8 comma 2, point C prime at 4 comma 2, and point D prime at 3 comma 4
Determine the direction and angle of rotation.
270° clockwise rotation
270° counterclockwise rotation
90° counterclockwise rotation
180° clockwise rotation
Question 4(Multiple Choice Worth 2 points)
(Scatter Plots MC)
Data was collected on the price per cupcake on orders of different amounts from a bakery. The scatter plot shows the data that was gathered.
scatter plot titled cupcake pricing with the x axis labeled number of cupcakes and the y axis labeled cost per cupcake in dollars with points at 1 comma 6, 2 comma 5, 2 comma 5.5, 3 comma 5.5, 4 comma 5, 4 comma 5.5, 5 comma 4.5, 6 comma 3.5, 7 comma 2, 8 comma 1, and 9 comma 0.5
Which of the following describes the pattern of association for the scatter plot?
There is a weak, positive linear association.
There is a weak, negative linear association.
There is a strong, positive nonlinear association.
There is a strong, negative nonlinear association.
Question 5(Multiple Choice Worth 2 points)
(Similar Triangles MC)
Triangle ABC ~ triangle DEF.
triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled 2.2
Determine the measurement of FD.
FD = 1.52
FD = 1.58
FD = 1.1
FD = 5.5
Question 6(Multiple Choice Worth 2 points)
(Slope MC)
What is the slope of the line that contains the points (−3, −1) and (3, −10)?
Undefined
0
negative two thirds
negative three halves
Question 7(Multiple Choice Worth 2 points)
(Experimental Probability MC)
An experiment is conducted with a coin. The results of the coin being flipped twice 200 times is shown in the table.
Outcome Frequency
Heads, Heads 40
Heads, Tails 75
Tails, Tails 50
Tails, Heads 35
What is the P(No Heads)?
85%
75%
50%
25%
Question 8(Multiple Choice Worth 2 points)
(Dilations MC)
Triangle ABC is dilated to produce triangle A′B′C′.
Graph of a triangle ABC with vertices at A 10 comma 2, B 18 comma 2, C 18 comma 10. Triangle A prime B prime C prime with vertices at A prime 5 comma 1, B prime 9 comma 1, C prime 9 comma 5.
Determine the scale factor used to create the image.
one fourth
one half
2
4
The slope of the line is -4, which means that the swimmer will complete 4 laps every minute. For 5 weeks they have the same amount of money. The direction is 270° clockwise rotation. The pattern of scatter plot is that there is a weak, negative linear association. The measurement of FD = 1.52. The slope of the line is negative three halves. The probability of No Heads is 25%. The scale factor is one half. The correct answers are C), B), A), B), A), D), D) and B).
The slope of the line is the change in y divided by the change in x, which represents the rate of change of the line. In this case, the slope is negative 4, which means that for every minute that passes, the number of laps remaining decreases by 4. So, the swimmer completes 4 laps every minute.
To find the point at which the two savings accounts have the same amount of money, we need to set the two equations equal to each other and solve for x
10x + 25 = 5x + 50
5x = 25
x = 5
So, after 5 weeks, the two siblings will have the same amount of money saved.
The direction of rotation can be determined by looking at the relative positions of the vertices of the original polygon and its image. In this case, the vertices of the image are in quadrant 1, while the vertices of the original polygon are in quadrant 2. This means that the image has been rotated counterclockwise. Additionally, we can see that the image has been rotated by 90 degrees, so the angle of rotation is 90 degrees counterclockwise.
The scatter plot shows a general trend of decreasing cost per cupcake as the number of cupcakes in an order increases. However, there is a fair amount of variability in the data, so the association between the two variables is weak. Additionally, the association is negative, as the cost per cupcake decreases as the number of cupcakes in an order increases.
Similar triangles have proportional side lengths, so we can set up a proportion using corresponding side lengths of the two triangles
AB/DE = BC/EF = CA/FD
Plugging in the known values, we get
11/2.2 = 7.9/EF = 7.6/FD
Solving for FD, we get
FD = (7.6 * 2.2)/11 = 1.52
So, FD has a length of 1.52 units.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula
slope = (y2 - y1)/(x2 - x1)
Plugging in the given values, we get
slope = (-10 - (-1))/(3 - (-3)) = -9/6 = -3/2
So, the slope of the line is negative three halves.
The probability of getting no heads in two flips can be found by adding the frequencies of the outcomes where no heads occur (Tails, Tails) and (Tails, Heads) and dividing by the total number of trials
P(No Heads) = (50 + 35)/200 = 85/200 = 0.425 = 42.5%
So, the probability of getting no heads is 42.5%, which is equivalent to 0.425.
Dilations involve multiplying the coordinates of each vertex by a scale factor. To find the scale factor used in this dilation, we can compare the corresponding side lengths of the original triangle and its image. In this case, we can see that the sides of the image are half as long as the corresponding sides of the original triangle. So, the scale factor used to create the image is one half.
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consider the system of linear equations
consider the system of linear equations
6x+2y – z=4
X +5y+z=3
2x+y+4z=27
A, solve the system by
I. Gassian elimination method,
II. LU- decomposition method
III. Gauss- Jacobi method,and
IV. Gauss-seidel method,
I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.
II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.
III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.
IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.
I. Gaussian Elimination Method:
To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:
| 6 2 -1 | 4 |
| 1 5 1 | 3 |
| 2 1 4 |27 |
We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.
After performing the necessary row operations, we obtain the following reduced row-echelon form:
| 6 2 -1 | 4 |
| 0 4 2 | -1 |
| 0 0 3 | 6 |
From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.
II. LU-Decomposition Method:
LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.
III. Gauss-Jacobi Method:
The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.
IV. Gauss-Seidel Method:
Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.
Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.
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I’m in summer school can y’all plz help me
Answer: Choice A. \(-x^2+2x+8\)
Work Shown:
\((f - g)(x) = f(x) - g(x)\\\\(f - g)(x) = (2x+1) - (x^2-7)\\\\(f - g)(x) = 2x+1 - x^2+7\\\\(f - g)(x) = -x^2+2x+(1+7)\\\\(f - g)(x) = -x^2+2x+8\\\\\)
which shows the answer is choice A.
Side note: be sure to distribute the negative to every term inside the second set of parenthesis. So you wouldn't say -(x^2-7) = -x^2-7. If you did this error, then you'd get to the wrong answer choice C.
Answer:
hope it helps u plz mark me brainliest mate
Step-by-step explanation:
(f-g)(x)=2x+1-(x^2-7)
(f-g)(x)=2x+1-x^2+7
(f-g)(x)= -x^2+2x+8
this is the correct answer
Differentiate y = (1-x)(x² - 4)²
Answer:
Below in bold.
Step-by-step explanation:
Using the product rule:
dy/dx = (1 - x)* d (x² - 4)²/dx + (x² - 4)² * -1
Differentiate (x² - 4)²:-
Using the Chain Rule:
this = 2(x² - 4) * 2x
= 4x(x² - 4)
So substituting the above we have
dy/dx = (1 - x)4x(x² - 4) + (x² - 4)² * -1
= (1 - x)4x(x² - 4) - (x² - 4)²
= (x² - 4)(4x(1 - x) - (x² - 4))
= (x² - 4)(4x - 4x² - x² + 4)
= (x² - 4)(-5x² + 4x + 4)
= -(x² - 4)(5x² - 4x - 4) Answer
this expanded is
-5x⁴ + 4x³ + 24x² - 16x - 16 Answer.
Johnny divided 3 1/2 x 4 what number did he get
Answer:
14
Step-by-step explanation:
3 1/2= 3.5
so...
3.5*4=14
Answer:
14
Step-by-step explanation:
7 / 2 × 4
7 × 2
14
hope it helps!
Find the volume I’m cubic inches of right rectangular prism with the measurement length 5/3 width 2 Height 4/3
Answer:
40/9 cubic inches
Step-by-step explanation:
The formula for the volume of a rectangular prism of width W, length L and height H is
V = W*L*H
and so, in this particular case,
(2)(5)(4)
V = (2)(5/3)(4/3) = -------------- = 40/9 cubic inches
(3)(3)
Based upon your visual analysis of the "Average MPG" histogram, what is the most appropriate measure of center and variation to calculate and interpret?
The most appropriate measure of center and variation to be computed and interpreted in this case is the Mean and Standard Deviation measures.
The appropriate measure of center and variationThe shape of a distribution is the factor that decides the most appropriate measure of century and variation which will be calculated as well as interpreted. In this case, the histogram is normally distributed, hence the need to use Mean and standard deviation.
Other types of distributionOther types of distribution are indicated as follows:
The complete options in the question to select from are:
A) The mean and standard deviation
B) The median and interquartile range
C) The median and Standard Deviation
D) The mean and Interquartile range.
The correct answer is A.
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Can someone please help me please!!!!!!
Answer:
the graph one is G and the second one is C hope this helps
I need help with this. I don’t understand this
Answer: y = 2/3 x + 3
Step-by-step explanation:
You are supposed to find y = mx + b.
In that equation y = mx + b, b is the y intercept or the dot that passes through the y axis. The m in the equation is the slope, to find the slope you find the rise over run the simplify it as much as you can.
A scale drawing of a rectangular bedroom is shown below. Using a scale of 1cm=4 feet, enter the actual area of the bedroom in square feet.
Answer:
Below
Step-by-step explanation:
Need the drawing but take the two cm measurements and multiply them together then multiply by 4 and then multiply by 4 again to get ft^2
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
Can someone help me please?
ASAP
Answer:
y = 12 x = 12\(\sqrt{3}\)
Step-by-step explanation:
This is a 60, 90, 30. It's a special triangle.
2z = 24
z = 12
If x = z\(\sqrt{3}\)
then x = 12\(\sqrt{3}\)
y = z itself
So y = 12
Help me i need this so quickly help help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I dont know why they are using absolute value, but a negative change means it went down, and absolute value make everything positive.
Please thank, brainliest, all that stuff
Happy new year!