Answers
Answer:
viii. 2x(1 - 2x)(1 + 2x)(1 + 4x²)
ix. 4xy
Step-by-step explanation:
viii. 2x - 32x⁵
= 2x(1 - 16x⁴)
= 2x(1² - (4x²)²)
= 2x(1 + 4x²)(1 - 4x²) ( a² - b² = (a + b)(a - b))
= 2x(1 + 4x²)(1² - (2x)²)
= 2x(1 + 4x²)(1 - 2x)(1 + 2x)
ix. (x+y)² - (x - y)²
= (x+ y + x - y)( x + y - x + y)
= 2x x 2y
= 4xy
Related Questions
The number of crayons in a box is forty
less than twice the number of markers.
Together, there are 140 coloring tools.
How many are crayons?
Answers
+40 +40
2x=180
————
2x
X=90
The correct answer would be 90 crayons
There are 80 Crayons.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The number of crayons in a box is forty less than twice the number of markers.
let the number of markers be x.
So, Number of Crayons = 2x- 40
and, there are 140 coloring tools.
x+ 2x- 40= 140
3x = 180
x= 60
So, Number of Crayons = 2(60) - 40 = 120- 40= 80
Hence, there are 80 Crayons.
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A ramp rises 4 ft. and makes a 20 degree with the ground. How
long is the ramp?
Answers
Answer:
P = 1.36 feet
Step-by-step explanation:
Given that,
Height of ramp, H = 4 ft
The ramp makes an angle of 20 degree with the ground.
We need to find the length of the ramp.
The height of the ramp is the hypotenuse and the length of the ramp is perpendicular of the right angled triangle. Using trigonometry to find the length of the ramp i.e.
[tex]\sin\theta=\dfrac{P}{H}\\\\P=H\sin\theta\\\\P=4\times \sin(20)\\\\P=1.36\ ft[/tex]
So, the length of the ramp is equal to 1.36 feet.
Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows:
79.6 75.1 78.2 74.1 73.9 75.0 77.6 77.3 73.8 74.6 75.5 74.0 74.7 75.9 72.7 73.8 74.2 78.1 75.4 76.3 75.3 76.2 74.9 78.0 75.1 76.8
If necessary, round all intermediate calculations to four decimal places (e.g. 12.3456).
Required:
a. Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why?
b. Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.
c. Calculate point estimates of the population variance and the population standard deviation.
d. Calculate the standard error of the point estimate found in part (a). Interpret the standard error.
e. Calculate a point estimate of the proportion of all connectors.
Answers
Answer:
a. A point estimate of the mean pull-force of all connectors in the population is approximately 75.7385
The point estimate for the mean used is the sample mean
b. The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% is 74.3131 N
c. The point estimate of the population variance is approximately 2.8577
The point estimate for the population standard deviation is approximately 1.6905
d. The standard error of the mean is approximately 0.3315
e. The point estimate of a proportion of the connectors are;
(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385), (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)
Step-by-step explanation:
The given data for the pull-force (pounds) for connectors used in an automobile engine are presented as follows;
Pull-force (pounds); 79.6, 75.1, 78.2, 74.1, 73.9, 75.6, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.8, 72.7, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8
a. A point estimate of the mean pull-force of all connectors in the population is the sample mean given as follows;
[tex]Mean, \ \overline x = \dfrac{\Sigma x_i}{n}[/tex]
[tex]\Sigma x_i[/tex] = The sum of the data = 1966.6
n = The sample size = 26
Therefore, the sample mean, [tex]\overline x[/tex] = 1966.6/26 ≈ 75.7385
The point estimate for the mean is approximately 75.7385
The sample mean was used as the point estimate for the mean because it is simple and representative of the sample
b. The weakest 50% of the connectors are;
72.7, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75.1, 75.1, 75.3
The sum of forces that separates the weakest 50%, [tex]\Sigma x_{i}_{50 \%}[/tex] = 966.2
The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% = [tex]\Sigma x_{i}_{50 \%}[/tex]/13 = 966.2/13 = 74.3131 N
c. The estimate of the population variance is the sample variance, given as follows;
[tex]s^2 =\dfrac{\sum \left (x_i-\overline x \right )^{2} }{n - 1}}[/tex]
Where;
[tex]{\sum \left (x_i-\overline x \right )^{2} }[/tex] ≈ 71.4415
Therefore;
[tex]s^2 =\dfrac{71.4415 }{25}} \approx 2.8577[/tex]
The point estimate of the population variance, s², is 2.8577
The point estimate for the population standard deviation, σ, is tha sample standard deviation, 's', given as follows;
s = √s² = √2.8577 ≈ 1.6905
The point estimate for the population standard deviation ≈ 1.6905
d. The standard error of the mean is given as follows;
[tex]SE_{\mu_x} = \dfrac{s}{\sqrt{n} }[/tex]
Therefore, we have;
[tex]SE_{\mu_x}[/tex] = 1.6905/√(26) ≈ 0.3315
The standard error indicates the likely hood of the difference between the sample mean and the population mean
e. The point estimate of a proportion of the connectors are;
(Number of sample with a given pull-force value)/(Sample size (26))
Therefore, using Microsoft Excel, we have
(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385), (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)
Find the equation of the line through point (1,−5) and perpendicular to y=1/8x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answers
Answer:
[tex]y = -8x + 3[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
When two lines are perpendicular, the multiplication of their slopes is -1.
Perpendicular to y=1/8x+2
This line has slope [tex]\frac{1}{8}[/tex]
So, for the line we want to find the equation, we have that:
[tex]\frac{m}{8} = -1[/tex]
[tex]m = -8[/tex]
So
[tex]y = -8x + b[/tex]
Find the equation of the line through point (1,−5)
This means that when [tex]x = 1, y = -5[/tex]. We use this to find b. So:
[tex]y = -8x + b[/tex]
[tex]-5 = -8 + b[/tex]
[tex]b = 3[/tex]
The equation of the line is:
[tex]y = -8x + 3[/tex]
If your Uncle Jack was on his roof, and he wanted you to help him down, would you help your Uncle Jack off?
Answers
Two lines extend from point S to create a right angle. The vertical line extends from point S through point R. The horizontal line extends right from point S through point T. A third line extends right and up from point S through point U.
Which is the endpoint of a ray?
point R
point S
point T
point U
Answers
Answer:
point s
Step-by-step explanation:
the other three lines continue infinitely
The endpoint of a ray based on the information given is B. point S
What is an endpoint?It should be noted that the endpoint simply refers to the straight lines that connect two points.
From the information and diagram given, a line extends right and up from point S through point U.
Therefore, endpoint of a ray based on the information given is point S
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Matthew has two kinds of rice shown in this table.
Rice
Brown:Amount (cups)
8 7/8
White: 6 3/4
How much more brown rice than white rice does Matthew have?
cups
ANSWER PLS
I will make Brainlyest
Answers
how to divide m96 in the ratio 5:7
Answers
Hey! I dont know if this will help though
To solve this question, you must first add together the two halves of the ratio i.e. 4 + 2 = 6. Then you need to divide the total amount using that number i.e. 600/6 = 100. To work out how much each person gets, you then multiply their share by 100.
A new pair of sneakers is on sale for $99. They were 10% off the original price. What was the original price?
Answers
Explanation: 110 x .1 = 11
110 - 11 = 99
PLEASE HELP. I NEED ALL!!!!
y=6x if x = 1
y=6x if x = 2
y=6x if x = 3
y=6x if x = 4
y=.5x if x = 1
y=.5x if x = 2
y=.5x if x = 3
y=.5x if x = 4
y=-0.2x if x = 0
y=-0.2x if x = 1
y=-0.2x if x = 2
y=-0.2x if x = 3
Answers
2. y= 12
3. y=18
4. y= 24
5. y=5
6. y= 10
7. y=15
8. y= 20
9. y=0
10. y= 0.2
11. y=0.4
12. y=0.6
Hope this helps!
Solve either of the correct equations using any method. Round to the nearest whole number d= Days
Answers
Answer:
7 days mate
Step-by-step explanation:
Too lazy, solve it yourself
Some entrepreneurs wish to establish a restaurant in a central location so that it will serve three suburbs. On a rectangular grid with axes labelled X1 (horizontal) and X2 (vertical), the centres of the three suburbs are located at (1,2, (6,18), and (12,8). All roads run east-west (parallel with the X1 axis) or north-south (parallel with the X2 axis). The distance between any two points is therefore rectilinear. For example, the distance between the centres of suburbs 2 and 3 is |12- 6| + | 8-18|= 6 +10 =16.
Required:
a. Formulate the restaurant location problem as a goal programming model.
b. Use the Excel Solver to determine the best location for the restaurant.
Answers
8+[5×6]= i need answer asap pls
Answers
Answer:
38
Step-by-step explanation:
Follow orders of operations.
Slove the expression in the parenthesis or brackets whatever, same thing.
5*6=30
Now add
30+8=38
Answer: in order of pemdas you would do 5x6 first which is 30 and then add 8 so it’s 38
Step-by-step explanation:
What is the correct answer?
Answers
Answer:
i
Step-by-step explanation:
dontkow
please help me! no links please im begging u ;(
Answers
9514 1404 393
Answer:
x = 70
Step-by-step explanation:
The angle between the tangents is the supplement of the intercepted arc:
x° = 180° -110°
x° = 70°
__
Alternate solution
The exterior angle x° is half the difference of the intercepted arcs. Long arc ACB is 360° -110° = 250°, so we have ...
x° = (250° -110°)/2 = 140°/2
x° = 70°
__
If you work this alternate solution generically, you find it is the same as the first solution.
x = ((360 -AB) -AB)/2 = (360 -2AB)/2 = 180 -AB
Please help easy points
Answers
Answer: 2/6
Hope this helps
Step-by-step explanation:
Answer:
8/3
Step-by-step explanation:
2/3 is .6666666
and the 2 can become 6/3 so just add the values together to get
8/3
Click or tap the location where the first dot should be
placed.
CI
Answers
Answer:
C.I
Step-by-step explanation:
Answer:
two on the top
one to the left
two to the right
two on the bottom
Step-by-step explanation:
Would you rather receive $1,000 a year for 10 years or $800 a year for 15 years if the interest rate is 5%? What if the interest rate is 20%? (LOS-3)
Answers
what is the total surface area of the rectangle prism? Help me please someone ASAP!
Answers
Answer:
B) 256
Step-by-step explanation:
w = 4
l = 12
h = 5
Formula:
SA = 2(wl + hl + hw)
SA = 2(4*12 + 5*12 + 5*4)
SA = 2(48 + 60 + 20)
SA = 2(128)
SA = 256
Open the Screenshot to see the problem
Answers
Which situation can be represented by the equation 4x=32
A-Barry has $32 and can spend it on 4 different items. How much money does he have left over?
B-Hailey needs to make $32 dollars this week. She gets 4 dollars per chore she does. How many chores, X, does she need to do to get $32?
C-Emberly has to finish 32 paper by friday. If each paper take 4 minutes, how many minutes will take her to finish?
Answers
Answer:
8
Step-by-step explanation:
4x=32
÷4 ÷4
__________
x=8
PLZ HELP ASAP 20 POINTS PLZ ANSWER THIS HOUR IF AC = 26 cm, what is BC?
20 cm
24 cm
26 cm
2√194cm
Answers
AB = BD = 10cm
Now using the Pythagorean theorem:
26^2 = 10^2 + BC^2
Simplify:
676 = 100 + BC^2
Subtract 100 from both sides:
576 = BC^2
Take the square root of both sides:
BC - sqrt(576)
BC = 24 cm
I mark brainliest 5+5
Answers
Answer:
5+5 is 10 lol but thanks I guess
Find the area of a circle with radius 86cm give your answer rounded to 3 SF
Answers
A= 23,235.22
Look at picture, please I need help on this question
Answers
Answer:
Step-by-step explanation:
look at graph for answers, vertex is at the point
Here are Xavier's bowling scores:
132, 140, 130, 190, 112, 200, 185, 172, 163,
151, 149
What is the upper quartile?
helppp
Answers
Answer:
UQ = 185
Step-by-step explanation:
the median separates the data set into the lower quartile and upper quartile
The median of this data set is 151
The lower quartile is the median of the lowest five values, or 132
The upper quartile is the median of the highest five values, or 185
The upper quartile score for highest half of the score is 185.
What is median?
A median is the center value of a given list of observations when arranged in an order. The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.
For the given situation,
Xavier's bowling scores: 132, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149.
Arrange this scores in the ascending order to find the median.
⇒ [tex]112, 130, 132, 140, 149, 151, 163, 172, 185, 190, 200[/tex].
There are totally 11 scores.
So the median is middle most number, that is 5th score in the list.
The median is [tex]151[/tex].
The scores after 151 are highest half scores. Now there are five scores.
Upper quartile scores list are [tex]163,172,185,190,200[/tex].
Thus, the middle most score [tex]185[/tex] is the upper quartile score.
Hence we can conclude that the upper quartile score for highest half of the score is 185.
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On a standardized exam, the scores are normally distributed with a mean of 135 and a
standard deviation of 20. Find the Z-score of a person who scored 115 on the exam.
Answers
Answer:
-1
Step-by-step explanation:
mean, mu = 135.
Standard deviation = 20
X = 115
use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]
to get (115-135)/20 = -1
(2/5)p=14
Mike sold y boxes of cookies for $5 each. He made at least $200.
What’s the least amount of boxes of cookies he sold?
Answers
Answer: 1 =5$
200$=40
Step-by-step explanation:
Answer:
40 boxes
Step-by-step explanation:
200 = 5x
x = 40
Find the vertex and focus of the
parabola.
y2 – 12y + 4x + 4 = 0
Answers
Answer:
t y = 6 and x = 8, or the vertex is at (8,6).
Step-by-step explanation:
Answer:
Step-by-step explanation:
Vertex: (8,6) Focus (7,6)
Step-by-step explanation:
32/4=8
Half of 12=6
-3(4x + 3) +4(6x + 1)= 43
Step by step solution
Need help ASAP PLEASE!!
Answers
Answer:
x=4
Step-by-step explanation:
-3(4x+3)
you need to break open the paranthesis
-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.
4(6x+1)
you need to break open the paranthesis
4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.
-12x-9+24x+4=43
move all variables to the left side and numbers to the right side
-12x+24x=43-4+9
12x=48
x=4
