The underlined digit is 3 wat the value of this number
285,003
Answer:
just 3
Step-by-step explanation:
it would be just 3 because there is no number behind it
find the constant term in the expansion of (x +1/x)'8
[tex]\left( x+\frac{1}{x}\right)^{8} =\sum _{k=0}^{8}\binom{8}{k} \cdotp x^{8-k} \cdotp \left(\frac{1}{x}\right)^{k}\\\\\\ \begin{array}{l}\text{We\ wish\ to\ find\ } x^{0} :\\\\x^{8-k} \cdotp \left(\frac{1}{x}\right)^{k} =x^{0}\\\\\Longrightarrow x^{8-k} \cdotp x^{-k} =x^{0}\\\\\Longrightarrow \cancel{x}^{8-2k} =\cancel{x}^{0}\\\\\Longrightarrow 2k=8\\\\\Longrightarrow k=4\end{array}\\\\\therefore \binom{8}{4} \cdotp x^{4} \cdotp \left(\frac{1}{x}\right)^{4} =\frac{8!}{( 8-4) !\cdotp 4!}[/tex]
[tex]\binom{8}{4} \cdotp x^{4} \cdotp \left(\frac{1}{x}\right)^{4} =\frac{8\cdotp 7\cdotp 6\cdotp 5\cdotp \cancel{4!}}{\cancel{4!} \cdotp 4\cdotp 3\cdotp 2\cdotp 1}\\\\\binom{8}{4} \cdotp x^{4} \cdotp \left(\frac{1}{x}\right)^{4}=70\\\\\therefore \boxed{\boxed{\text{The\ constant\ term\ is\ } 70}}[/tex]
Show algebraically that f and g are inverse functions:
g = sqrt(x+8)-4
f=x^2+8x+8
Answer:
See Below.
Step-by-step explanation:
By definition, if two functions, f and g, are inverses, then:
[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]
We are given the two functions:
[tex]\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8[/tex]
Find f(g(x)) and g(f(x)):
[tex]\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}[/tex]
Hence, f and g are indeed inverses of each other.
What is the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1)?
x2 – 2x – 3
x2 + 2x + 7
x2 – 3x + 8
x2 – 2x + 3
Answer:
the answer would be x^2 - 2x + 3
have a good day !! :D
Step-by-step explanation:
Answer:
D. x2 – 2x + 3
Step-by-step explanation:
Edge 2023
I NEED HELP PLZ!!! Let A=[−1 2 4 0] and v=[8 6] . Which of these is equivalent to Av?
Answer:
D. (16, 16)
Step-by-step explanation:
[(-1×8)+(4×6) , (2×8)+(0×6)]
[(-8 + 24) , (16 + 0)]
= [16 , 16]
what insect is this??
Answer:
it's either an ant, small beetle, black termite, or something
Step-by-step explanation:
Whitewater Rentals has 39 canoes and 25 solo kayaks. The canoes rent for $45 for a six-hour trip. The solo kayaks rent for $49 for the same trip. One day 8 canoes and 4 kayaks were not rented. How much money was collected for rent-als that day?
x – Зу +8x47+ 15 – 4у
Answer:
X-7y+391
Step-by-step explanation:
First multiply
8x47=376
Now group those that are the same together
X-3y -4y+376 +15
X-7y+391
Answer:
x - 7y + 391
Step-by-step explanation:
[tex]x - 3y + 8 \times 47 + 15 - 4y[/tex]
[tex]x - 3y + 376 + 15 - 4y[/tex]
[tex] - 3y - 4y = (- 3 - 4)y = - 7y[/tex]
[tex]x - 7y + 376 + 15[/tex]
[tex] = x - 7y + 391[/tex]
Find the area of the shaded region
5x + 1
2x * 3
6
Answer:
Area of shaded region=[6×(5x+1)]-[4×(2x+3)]
=(30x+6)-(8x+12)
=30x+6-8x-12
=30x-8x+6-12
=24x-6
11/14 as a repeating decimal using bar notation
Step-by-step explanation:
______
0.7857142
note the first 7 is not included in the bar
A locus of points equidistant from a fixed point is a
A. bisection of two sides or three sides of a triangle.
B. bisector of an angle.
C. circle with centre at a fixed point.
D. perpendicular bisector of aa given line.
Answer:
B. bisector of an angle.
A car rental agency advertised renting a car for $23.95 per day and $0.33 per mile. If Brad rents this car for 2 days, how many whole miles can he drive on a $150 budget?
First, let's define a few varibles.
x = # of miles
y = # of days
z = total cost
Now, let's create our expression
z = $23.95y + $0.33x
Let's plug the numbers from our problem into our equation.
$150 = $23.95(2) + $0.33x
Simplify the right side
$150 = $47.9 + $0.33x
Subtract $47.9 from both sides
$102.1 = $0.33x
Divide both sides by $0.33
309 miles = x
Note, I rounded my answer down to the nearest whole number.
Create a scale drawing of the Colombian flag with a scale of 2 cm to 1 ft
Help me pleaseeeeeeeee
8(x-6)+58=-3(2x-8)+14x
THANK YOU!!!!!!!!!!
Answer:
10 = 24
Step-by-step explanation:
[tex]8(x - 6) + 58 = - 3(2x - 8) + 14x[/tex]
[tex]8x - 48 + 58 = - 6x + 24 + 14x[/tex]
[tex]8x + 10 = 8x + 24[/tex]
[tex]10 = 24[/tex]
x €[tex] \O[/tex]
What is percent 10 1/4 of 66?
f(x)=x2
g(x)=x−3
Find the composition of the two functions and show your process:
g(f(x))
Answer:
g(f(x)) = x² - 3
Step-by-step explanation:
g(f(x))=g(x²)
= x² - 3
Step-by-step explanation:
[tex]f(x) = {x}^{2} \\ g(x) = x - 3 \\ g(f(x)) = g( {x}^{2} ) = {x}^{2} - 3 \\ thank \: you[/tex]
If a customer orders a sandwich with cheddar cheese and only one type of meat, how many different sandwiches are available?
Meats: ham salami turkey
Cheeses: cheddar Swiss Colby
A, 1
B, 3
C, 4
D, 6
Geometry PLEASE HELP
I’m right? Yes or no?
Answer:
B
Step-by-step explanation:
-2 + 12 = 10
The height of a candle, in centimeters, can be modeled by the linear equation h = 28 - 2t, where t represents the hours that the candle has been burning.
Interpret the slope of this equation in the context of this problem:
The slope is -2. In context to this problem, the candle will burn away 2cm of its length every hour.
The slope of the equation, -2, means that the height of the candle reduces at a rate of 2 cm per hour.
Given the linear equation of the height of a candle that has been burning as: [tex]h = 28 - 2t[/tex].
This implies that:
28 in the equation represents the initial height of the candle = 28 cm.
-2 in the equation is slope, which is the rate of change at which the candle burns, meaning the height of the candle reduces by 2 cm every hour.
Therefore, the slope of the equation can be interpreted in the context of the problem as:
for every hour that passes, the height of the candle reduces by 2 cm.
Learn more about linear equation here:
https://brainly.com/question/19408983
-3x + 6y = 18
-3x = 6y+14
a) What is the slope of the 1st equation?
b) What is the slope of the 2nd equation?
c) Are they parallel, perpendicular, or neither?
Step-by-step explanation:
-3x + 6y = 18
-3x = 6y+14
a) the slope of the 1st equation = -(-3)/6 = ½
b) the slope of the 1st equation = -3/6 = -½
c) they are niether parallel nor perpendicular
#1
-3x+6y=18-x+2y=62y=x+6y=x/2+3slope=1/2
#2
-3x=6y+146y=-3x-14y=-1/2x-7/3slope=-1/2
#3
Neither
Find an equation for the nth term of the arithmetic sequence.
-15, -6, 3, 12, ...
The Answer is:
an = -15 + 9(n - 1)
A recipe for pancakes calls for 2 eggs, 1 cup of flour, and 1/2 cup of milk.
a) How much flour do you need if you use 5 eggs?
b) How much milk do you need if you use 5 eggs?
Answer:
a: 2 1/2 cups of flour
b: 1 1/2 cups of milk
Answer:
I think 10 cup flour beacuse 1 cup flour is double than that of eggslove for x: 27x^3/4=125
Answer:
[tex]x=\sqrt[3]{\frac{500}{27}}[/tex]≈ [tex]2.64566842[/tex]
Step-by-step explanation:
[tex]\frac{27x^{3}}{4}=125\\27x^{3}=125*4\\27x^{3}=500\\x^{3}=\frac{500}{27}\\x=\sqrt[3]{\frac{500}{27}}[/tex]
An approximation in decimal form would be as follows:
[tex]x=\sqrt[3]{\frac{500}{27}}[/tex]≈ [tex]2.64566842[/tex]
if i pour 1/4 gallon of tea in each of the 4 pitchers. how many gallon in each pitcher
15.
(4x +- 21)
(x - 23)
Answer:
4
2
−
1
1
3
+
4
8
3
Step-by-step explanation:
Find the perimeter of this shape
Answer:
the answer is 58
Step-by-step explanation:
first rectangle is 6 by 10
and second rectangle is 7 by 16
perimeter (2*(16+7))+(2*(10+6))=78 ××
edite:
sorry i made a mistake the real answer is 58 because we add all the sides together 16+13+10+6+6+7=58
have a nice day :)
Hello!
The perimeter is sum of all sides of a figure. In this figure, we have unknown sides. To find the unknown sides, we have to use the sides that we know. By adding and subtracting numbers, you can find the other sides. See the image below, to see how I did it.
I also have another practice problem, for you to practice on your own if you want to.
Also, mishap on picture, The answer is 58.
A rectangle has perimeter 92 cm and length 39 cm. What is its width?
Multiply (-14/21) x5/9 Enter your fraction as a fraction, in simplest form.
Please help
Answer:
simplifed -10/27
Step-by-step explanation:
ASAP Please! Someone help! Thank you!!! Suppose the following data set contains the monthly adjusted stock prices for technology company A, and a consumer-goods company B from 2013–2018.
Asking for Covariance and Correlation Coefficient!
Date A B
6/1/2013 43.44 63.71
7/1/2013 49.71 66.54
8/1/2013 53.60 64.98
9/1/2013 56.00 63.00
10/1/2013 60.40 67.44
11/1/2013 64.32 70.99
12/1/2013 67.69 68.55
1/1/2014 60.29 64.40
2/1/2014 63.43 66.68
3/1/2014 67.57 68.38
4/1/2014 74.39 70.08
5/1/2014 79.87 69.11
6/1/2014 85.47 67.17
7/1/2014 87.95 65.05
8/1/2014 94.37 71.73
9/1/2014 93.21 72.29
10/1/2014 99.99 75.42
11/1/2014 110.21 78.84
12/1/2014 102.66 79.43
1/1/2015 109.03 73.35
2/1/2015 119.64 74.64
3/1/2015 116.32 71.77
4/1/2015 117.00 69.58
5/1/2015 121.84 69.14
6/1/2015 117.76 69.01
7/1/2015 113.85 67.61
8/1/2015 105.91 62.66
9/1/2015 103.91 63.82
10/1/2015 112.66 67.89
11/1/2015 111.51 67.09
Date A B
12/1/2015 99.54 71.31
1/1/2016 91.98 73.42
2/1/2016 91.35 72.77
3/1/2016 103.67 74.65
4/1/2016 88.02 72.61
5/1/2016 94.90 74.09
6/1/2016 91.37 77.49
7/1/2016 99.69 79.36
8/1/2016 101.51 80.62
9/1/2016 108.82 82.92
10/1/2016 109.30 80.13
11/1/2016 106.36 76.63
12/1/2016 112.09 78.17
1/1/2017 117.49 81.53
2/1/2017 132.76 85.53
3/1/2017 139.88 84.35
4/1/2017 139.87 81.93
5/1/2017 148.80 81.31
6/1/2017 140.82 82.40
7/1/2017 145.45 84.95
8/1/2017 160.49 88.06
9/1/2017 151.36 85.80
10/1/2017 166.11 80.27
11/1/2017 169.88 83.49
12/1/2017 166.90 88.35
1/1/2018 165.11 82.90
2/1/2018 175.72 72.80
3/1/2018 166.14 73.55
4/1/2018 163.63 71.68
5/1/2018 186.86 82.31
9514 1404 393
Answer:
covariance: 168.30correlation coefficient: 0.688Step-by-step explanation:
A spreadsheet is made for this sort of computation. Copy the data to a spreadsheet. Use the "text to columns" feature to separate the data from the dates, and to put the A and B data in different columns.
Then use the spreadsheet built-in covariance and correlation functions to find the values of interest.
In the attachment, we have hidden the middle 50 rows of data to make it easier to select the range of data required for the functions we're using. (In many spreadsheets, you can name a range, so you only need to refer to it by name.)
The formulas we used are ...
in D2: =COVAR(B2:B61,C2:C61)
in D3: =CORREL(B2:B61,C2:C61)
_____
Additional comment
Graphing calculators and spreadsheets are essential technology tools. While it can take a bit of study to learn all of the features in depth, you can usually learn enough in a few minutes to be able to make use of these tools to solve many problems. In most cases, videos are available.
The Go.ogle Sheets application works in a browser and is free. That's what was used here. Other free office-type applications (word processor, spreadsheet, and so on) are also available for download to computer, tablet, or phone. (I find it tedious to use these apps on a phone.)
I’ll mark you as brainliest!
