Compute the scalar surface integral ∬T(z+y)dS where T is the triangle (including its interior) with vertices (0,0,2), (0,1,0)( and (1,0,0)
Answers
the scalar surface integral ∬T(z+y)dS where T is the triangle (including its interior) with vertices (0,0,2), (0,1,0)( and (1,0,0) is 1
We can compute the scalar surface integral ∬T(z+y)dS using the parametric form of the surface integral.
Let S be the surface of the triangle. We can parameterize S as follows:
S(u,v) = (u, v, 2-u-v)
where 0 ≤ u ≤ 1 and 0 ≤ v ≤ 1-u.
Then, the scalar surface integral ∬T(z+y)dS is defined as:
∬T(z+y)dS = ∬S(u,v) (2-u-v + v) dudv
= ∫0→1∫0→1-u (2-u-v + v) dudv
= ∫0→1 [2u + (1-u)2 - (1-u)2u - u2(1-u)] du
= ∫0→1 (2u + 1 - 2u2 - u3) du
= [u2 + u - u4/4]0→1
= 1/4 + 1 - ¼
Learn more about integral here
https://brainly.com/question/18125359
#SPJ4
Related Questions
if sample of size 40 and sampl of size 10, sample mean from larger sample closer to to true popuation is?
Answers
Yes,The law of large number says that if you take sample of larger and larger size forming population than the mean of the sampling distribution u-x tend to get closer to true population.
What is the relationship between sample size and sample mean?As a sample size increases, the sample mean and standard deviation will be closer in value to the population mean μ and standard deviation σ.Very large samples tend to transform small differences into statistically significant differences.
How do you find the sample size for a sample mean?There are following steps for finding sample mean
Add up the sample items. Firstly we will need to count how many sample items you have within a data set and add up the total amount of items.
Divide sum by the number of samples.
The result is the mean.
Use the mean to find the variance.
Use the variance to find the standard deviation.
To learn more about sample mean visit;
https://brainly.com/question/30023845
#SPJ4
1. T-shirts at a flea market cost $4.50 each and shorts
cost $6 each. You have enough money to buy exactly
12 t-shirts and 9 pairs of shorts. Write an equation in
standard form that models the possible combinations
of t-shirts and shorts you can buy.
Answers
In a bag, there are only black pins, green pins, pink pins and white pins
A pin is taken at random out of the bag
Complete the table
Answers
Answer:
P of white: 0.26
P of green: 0.39
Step-by-step explanation:
Assume the probability of a white pin is p.
Then the probability of a green pin is (3/2)p because their ratio is 3:2.
The sum of the probabilities must be 1.
0.1+(3/2)p+0.25+p=1
(5/2)p+0.35=1
(5/2)p=0.65
p=(2/5)(0.65)=0.26
(3/2)p=0.39
Evaluate the double integral ∬R(3x−y)dA, where R is the region in the first quadrant enclosed by the circle x2+y2=16 and the lines x=0 and y=x, by changing to polar coordinates.
Answers
Answer:
\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)
Step-by-step explanation:
\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)
\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)
32a + 28 = factor completely
Answers
Answer:
Step-by-step explanation:
common factor is 4
4(8a+7)
2. 5 9. 14. ?. 27
18
20
21
16
Which is the missing number people :)))
Answers
Answer:
20
Step-by-step explanation:
The pattern goes
+3, +4, +5, +6, +7...
14+6=20
The missing number is 20
0+2=2
2+3=5
5+4=9
9+5=14
14+6=20 <— the answer
20+7=27
In which
situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf
Answers
The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.
What is expression?Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.
The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.
In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.
To know more about expression click-
http://brainly.com/question/1859113
#SPJ1
Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?
NO LINKS!! URGENT HELP PLEASE!!
1. Find the area of a regular octagon. Each side is 12 m.
2. The perimeter of a regular polygon is 72 feet. An exterior angle of the polygon measures 40°. Find the length of each side.
3. If the perimeter of a regular pentagon is 50 in. Find the area. Show a drawing and work please.
Answers
Answer:
1) 695.3 m²
2) 8 ft
3) 172.0 in²
Step-by-step explanation:
Question 1To find the area of a regular polygon, we can use the following formula:
\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)
Given the polygon is an octagon, n = 8.
Given each side measures 12 m, s = 12.
Substitute the values of n and s into the formula for area and solve for A:
\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)
\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)
\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)
\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)
\(\implies A=695.29350...\)
Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.
\(\hrulefill\)
Question 2The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.
If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.
To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:
\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)
Therefore:
\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)
\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)
\(\implies 40^{\circ}n=360^{\circ}\)
\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)
\(\implies n=9\)
Therefore, the regular polygon has 9 sides.
To determine the length of each side, divide the given perimeter by the number of sides:
\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)
\(\implies \sf Side \;length=\dfrac{72}{9}\)
\(\implies \sf Side \;length=8\;ft\)
Therefore, the length of each side of the regular polygon is 8 ft.
\(\hrulefill\)
Question 3The area of a regular polygon can be calculated using the following formula:
\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)
A regular pentagon has 5 sides, so n = 5.
If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.
Substitute the values of s and n into the formula and solve for A:
\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)
\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)
\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)
\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)
\(\implies A=172.047740...\)
Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.
Answer:
1.695.29 m^2
2.8 feet
3. 172.0477 in^2
Step-by-step explanation:
1. The area of a regular octagon can be found using the formula:
\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)
where a is the length of one side of the octagon.
In this case, a = 12 m, so the area is:
\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)
Therefore, the Area of a regular octagon is 695.29 m^2
2.
The formula for the exterior angle of a regular polygon is:
\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)
where n is the number of sides in the polygon.
In this case, the exterior angle is 40°, so we can set up the following equation:
\(\bold{40^o=\frac{ 360^0 }{n}}\)
\(n=\frac{360}{40}=9\)
Therefore, the polygon has n=9 sides.
Perimeter=72ft.
We have
\(\boxed{\bold{Perimeter = n*s}}\)
where n is the number of sides in the polygon and s is the length of one side.
Substituting Value.
72 feet = 9*s
\(\bold{s =\frac{ 72 \:feet }{ 9}}\)
s = 8 feet
Therefore, the length of each side of the polygon is 8 feet.
3.
Solution:
A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)
The area of a regular pentagon can be found using the following formula:
\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)
where s is the length of one side of the Pentagon.
In this case, s = 10 in, so the area is:
\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)
Drawing: Attachment
A person ate 2400 calories in a day. Of these, 36% came from fat. How many calories did not come
from fat?
O 864 calories
O 1,536 calories
O 6,666 calories
O 3,750 calories
Answers
Answer:
864 calories
Step-by-step explanation:
36% - 2400 = 864
864 calories
36/100 = 0.36×2400 = 864
Let be independent random variables with the common distribution function F and suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N (b) Find P(M1} (d) Use (b) and (c) to rederive the probability you found in (a).
Answers
suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is nλe^(-nλx)
Given fx (x) = λe^λx
Fx (x) = 1 – e^-λx x…0
To find distribution of Min (X1,….Xn)
By applying the equation
fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)
For minimum j = 1
[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx
= ne^[(n-1) λx] λe^(λx)
= nλe^(-λx[1+n-1])
= nλe^(-nλx)
learn more about of variable here
https://brainly.com/question/6472483
#SPJ4
How many solutions does the system of linear equations have?
y= 2x
y= -1/2 x + 3
A. one
B. none
C. two
D. infinitely many
Answers
3. suppose you are given two circularly linked lists, l and m. describe an algorithm for telling if l and m store the same sequence of elements (but perhaps with different starting points).
Answers
The logic for the algorithm is Traverse both linked lists, comparing corresponding elements.
To determine if two circular linked lists, l and m, store the same sequence of elements, we can use the following algorithm:
Start at the head of both linked lists, l and m, and traverse each list until we reach the end.At each step, compare the elements stored in the corresponding nodes of both linked lists.If the elements are not equal, the lists do not store the same sequence of elements.If we reach the end of both linked lists and all elements have been equal, the lists store the same sequence of elements, but with different starting points.In order to cover the case where the lists store the same sequence of elements but with different starting points, we can repeat the algorithm starting at each node in l and m, and continue until we have compared all possible starting points.Learn more about linked lists:
https://brainly.com/question/12974434
#SPJ4
A number added to twice another number is-8. The sum of the two numbers is-2. What is the lesser of these two numbers?
Answers
Answer:
-6
Step-by-step explanation:
a + 2b = -8 Eq. 1
a + b = -2 Eq. 2
From Eq. 1:
a = -8 -2b Eq. 3
From Eq. 2:
a = -2 -b Eq. 4
Equalizing Eq. 3 & Eq. 4:
-8 -2b = -2 -b
-2b + b = -2 + 8
-b = 6
b = -6
From Eq. 4
a = -2 - (-6)
a = -2 + 6
a = 4
Check:
From Eq. 1:
a + 2b = -8
4 + 2*-6 = -8
4 - 12 = -8
Answer:
-6<4
Then;
The lesser number is:
-6
Elsevier logo el Home
Find the area of the combined rectangles.
9 ml
1 2 3 4
The area is
11 ml
19 ml
square miles.
2 ml
8 ml
5
7 ml
Answers
To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?
can you guys explain this
Answers
Answer:
basicly the -6 is the x and the 5 is the y
but the h is 7.8
Step-by-step explanation:
Consider the function shown on the graph. Complete the statements to make them true
Answers
Answer:
Domain: x ≥ -5
Range: y ≥ -2
Step-by-step explanation:
The domain are the set of x-values of the function that are plotted on the x-axis. The domain of the graph given are x-values that are equal to or greater than -5.
Therefore:
✅Domain: x ≥ -5
The range from the graph given the y-values plotted on the y-axis against their corresponding x-values that are equal to or greater than -2.
Therefore:
✅Range: y ≥ -2
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 14 minutes and a standard deviation of 3 minutes. If you visit that restaurant 21 times this year, what is the expected number of times that you would expelt to wait between 8 minutes and 17 minutes, to the nearest whole number?
Answers
Answer:
To find the expected number of times you would expect to wait between 8 minutes and 17 minutes, we can use the properties of a normal distribution.
Given that the waiting time follows a normal distribution with a mean (μ) of 14 minutes and a standard deviation (σ) of 3 minutes, we can calculate the z-scores corresponding to the lower and upper bounds of the desired range.
For the lower bound of 8 minutes:
z = (x - μ) / σ = (8 - 14) / 3 = -2
For the upper bound of 17 minutes:
z = (x - μ) / σ = (17 - 14) / 3 = 1
Next, we can use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores.
The probability corresponding to z = -2 is approximately 0.0228, and the probability corresponding to z = 1 is approximately 0.8413.
To find the expected number of times within this range, we multiply the probability of each event by the number of trials (visits to the restaurant), which is 21 in this case.
Expected number of times = (probability of lower bound) * (number of trials) + (probability of upper bound) * (number of trials)
= (0.0228) * (21) + (0.8413) * (21)
= 0.4788 * 21 + 17.6953 * 21
≈ 10.0468 + 371.7906
≈ 381.8374
Rounded to the nearest whole number, the expected number of times you would expect to wait between 8 minutes and 17 minutes is 382.
Therefore, you would expect to wait between 8 minutes and 17 minutes approximately 382 times out of 21 visits to the restaurant
for more such questions on whole number
https://brainly.com/question/9879870
#SPJ11
Step-by-step explanation:
I need help please asp !!!
Answers
Answer:
They are all equal and identical in form; coinciding exactly when superimposed.
Step-by-step explanation:
Drag and drop the relationships below to classify them as being a function or not a function?
Answers
A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.
Determine the domain of a piece wise function?Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.
Determine the range of a piece wise function?Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.
To learn more about functions visit:
https://brainly.com/question/29051369?referrer=searchResults
#SPJ1
An alien needs to abduct 84 humans on a certain day. They start abducting at 8:00 am by 9:00 am they had abducted 12 humans. At what time will they complete the total number of humans that they need to abduct?
PLEASE NEED AND STEPS
Answers
Answer:
Step-by-step explanation:
add 12 for every hour and to find the answer 12 times 7
it will be 4:00p.m when they have 84.
hope this helps
Suppose you are to select a password of size 4. The first character should be any lowercase letter or a digit, while the second should be a non-zero digit. The third should be any lower case letter, and the fourth should be any lowercase letter, which is different from the third. b. Consider a group of ten students, and six of them are boys. A committee of 3 students is expected to select from the above group. How many committees can you select with at least two girls
Answers
First question seems incomplete :
Answer:
40 ways
Step-by-step explanation:
Question B:
Number of boys = 6
Number of girls = 4
Number of people in committee = 3
Number of ways of selecting committee with atleast 2 girls :
We either have :
(2 girls 1 boy) or (3girls 0 boy)
(4C2 * 6C1) + (4C3 * 6C0)
nCr = n! ÷ (n-r)!r!
4C2 = 4! ÷ 2!2! = 6
6C1 = 6! ÷ 5!1! = 6
4C3 = 4! ÷ 1!3! = 4
6C0 = 6! ÷ 6!0! = 1
(6 * 6) + (4 * 1)
36 + 4
= 40 ways
Select the unit that best fits the scenario
The bucket can hold 5 fluid ounce(s) cup(s) gallon(s) of paint
Answers
The bucket can hold 5 gallons of paint.
What is unit of measurement?The unit of measurement is used to classify accurately a measured value of a quantity. Various quantities have different units of measurement. Thus a unit gives a comprehensive meaning to a given value. On comparing the following; 6 m, 20 kg, 2 ounce, 50 N with 6, 20, 2, 50, it can be deduced that unit is very important in measurement.
Ounce is a unit that can be used to express small value of a substance, while gallons is used for greater value of substance.
Since we have a bucket that can hold 5 units fluid, the unit that best fit the scenario is gallons.
Learn more about unit of measurement at https://brainly.com/question/777464
#SPJ1
Select all of the equations that are equivalent to 3 x − 12 = 19
A 3x-12=19
B 3x=7
C 3x=31
D 3x+31=0
E 5x-12=2x+19
F x-4=(19/3)
Answers
Answer:
X=2
Step-by-step explanation:
x
=
−
2
Explanation:
Collect terms in x on the left side of the equation and numeric values on the right side.
add 3x to both sides.
5
x
+
3
x
+
12
=
−
3
x
+
3
x
−
4
⇒
8
x
+
12
=
−
4
subtract 12 from both sides.
8
x
+
12
−
12
=
−
4
−
12
⇒
8
x
=
−
16
To solve for x, divide both sides by 8
8
x
8
=
−
16
8
⇒
x
=
−
2
As a check
Substitute this value into the equation and if the left side is equal to the right side for this value then it is the solution.
left side
=
(
5
×
−
2
)
+
12
=
−
10
+
12
=
2
right side
=
−
(
3
×
−
2
)
−
4
=
=
6
−
4
=
2
⇒
x
=
−
2
is the solution
Answer:
b Beacuse you can't times 3 by twelve but you can multiple 3times7+1 to get 19
This is from k12:
(I added a link)
Answers
Answer:
\(g(x) = 3.5^{x} -2\)
Step-by-step explanation:
This is the answer because, the y-intercept has decreased by -2. After you graph the original equation, you will find that the intercept is 1. So if the new one has a y-interceptn of -1, it decreased by 2. So, it is \(g(x) = 3.5^{x} -2\)
Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm.
What is the length of AE¯¯¯¯¯ ?
Enter your answer in the box.
the length of AE¯¯¯¯¯ =
cm
Answers
The length of AE¯¯¯¯¯ is 5√2 cm.
Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.
Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.
Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.
In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the diagonal (the hypotenuse) is the same as the side length, s.
Applying the Pythagorean theorem:
s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
100 = 2 * AE¯¯¯¯¯^2
AE¯¯¯¯¯^2 = 50
Taking the square root of both sides:
AE¯¯¯¯¯ = √50
Simplifying the square root:
AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm
for more such questions on quadrilateral
https://brainly.com/question/27991573
#SPJ8
if you double a number and then add 36, you get 4 over 11 (4/11) of the original number,
what is the original number?
Answers
Answer:
The original number is -22
Step-by-step explanation:
We'll label our mystery number x.
2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22
Plug in to confirm
-44 + 36 = -88/11S
8 = 8
step by step solve for x the following problem... 34 - 5x + 2 (x - 2) = 15
Answers
34-5x+2(x-2)=15
34-5x+2(x)(2) (-2)=15
34-5x+2x-4=15
30-3x=15
30-3x-30=15-30
-3x=-15
-3x/-3=-15/-3
x=5
What is the value of the expression
3+(2+8)^2+4*(1/2)^4
Answers
Answer:
Use photo math, it will explain it all
First here's the expression written out a little clearer
\(3+(2+8)^2+4*(\frac{1}{2} )^4\)
Parentheses: (2+8) = (10).
Exponents: 10^2 is 100, and \((\frac{1}{2} )^4\) is \(\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot\frac{1}{2} =\) \(\frac{1}{16}\)
Multiplication and division: 4 * 1/16 is \(\frac{4}{16}\) or \(\frac{1}{4}\) simplified
Addition and subtraction: Go left to right. 3 + 100 + \(\frac{1}{4}\) = 103.25 (final answer)
How many servings can be made from 12 cups
Answers
Answer:
depands
Step-by-step explanation:
on how much ppl and yea
Write a piecewise-defined function for this graph please!
Answers
The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The equation of the line that passes through (-3, 1) and (2, -2) is given as,
(y + 2) = [(- 2 - 1) / (2 + 3)](x - 2)
y + 2 = - (3/5)x + 6/5
y = -(3/5)x - 4/5
The equation of the line that passes through (2, -2) and (4, 3) is given as,
(y + 2) = [(3 + 2) / (4 - 2)](x - 2)
y + 2 = (5/2)x - 5
y = (5/2)x - 7
The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1