The average value of a continuous function f(x) over an interval [a, b] is given by the integral,
[tex]\displaystyle \frac1{b-a}\int_a^b f(x)\,\mathrm dx[/tex]
Compute the integral for f(x) = e ⁻ˣ over [0, 3] :
[tex]\displaystyle \frac1{3-0}\int_0^3e^{-x}\,\mathrm dx=\frac13(-e^{-x})\bigg|_0^3=\frac13(-e^{-3}-(-e^{-0})) = \frac13 \left(1-\frac1{e^3}\right) = \boxed{\frac{e^3-1}{3e^3}}[/tex]
pls answer it :'} plzzzzzzzzzzz
Answer:
32units²
Step-by-step explanation:
find the area if the square
2×2 = 4
now find the area of the 3 triangle's
A = 1/2bh
A = 1/2×2×2
A = 2
A = 1/2bh
A = 1/2×6×2
A = 6
A = 1/2bh
A = 1/2×10×4
A = 20
add all the areas up
20 + 6 + 2 +4 = 32
32units²
Which day had the greatest increase in gas price? I’ll mark brainliest
Can somebody explain Scatter Plots and Equations of Lines for me. I'm not quite understanding it
A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.
Equation Of Line means A straight line on the coordinate plane can be described by the equation. y = mx+b. where m is the slope of the line and b is the intercept.
Taylor cuts 1/3 sheet of constitution paper for arts and crafts project. Enter 1/3 as an equivalent fraction with the demontinators shown.
Becky graphs a system of two linear equations and determines that (1,5) and (3,7) are solutions.
What does the graph of the system look like? How many solutions are possible?
A) curve; two solutions
B) two lines; one solution
C) two lines; two solutions
D) one line; infinitely many
Answer:
D ) one line; infinitely many
Step-by-step explanation:
The table shows the results of two 7th grade
surveys that Roddy took to find out how many
hours of sleep 7th graders at his school get on
a typical school night:
Based on the sample data, which of the following
is the closest to the mean number of hours of
sleep a 7th grade student gets?
Group of answer choices
8
7
8.25
7.75
The logo on a shirt is in the shape of a parallelogram. What is the area of the parallelogram? Round to the nearest tenth.
Answer:
90
Step-by-step explanation:
what is the inverse function of y equals 3x + 1what is the inverse function of Y=3x+1
Answer:
[tex]y=\frac{x-1}{3}[/tex]
Step-by-step explanation:
[tex]x=3y+1[/tex]
Subtract 1,
[tex]3y=x-1[/tex]
Divide each side by 3,
[tex]y=\frac{x-1}{3}[/tex]
de que numero 92 es el 15% mas?
explain adpose tissue
Answer:
Adipose tissue is commonly known as body fat. It is found all over the body. It can be found under the skin (subcutaneous fat), packed around internal organs (visceral fat), between muscles, within bone marrow and in breast tissue.
Adipose tissue is commonly known as body fat. It is found all over the body. It can be found under the skin (subcutaneous fat), packed around internal organs (visceral fat), between muscles, within bone marrow and in breast tissue.
Karen bought some books for $4 each and received a discount of $5 off of her total purchase. She spent 571 after the discount. How many
books did she buy? ( NO LINKS ) LINKS GET REPORTED!
Answer:
she bought 143
Step-by-step explanation:
( 27 − 9 ) × 3 ÷ 9 + 18 = 42 .
Answer:
24=42
Step-by-step explanation:
Use PEMDAS!
Answer: 24 = 42
Step-by-step explanation:
PEMDAS / order of operations.
Find an ordered pair (x, y) that is a solution to the equation.
-x+2y=3
Answer:
answer attached
Step-by-step explanation:
use Excel to easily find MANY ordered pairs for the solution to the equation
please help me on this
Answer:
C
Step-by-step explanation:
Find the value of x. Round to the
nearest tenth.
35
12
х
X
?
9514 1404 393
Answer:
6.9
Step-by-step explanation:
The relevant relation is ...
Sin = Opposite/Hypotenuse
Substituting given values, we have ...
sin(35°) = x/12
x = 12·sin(35°) ≈ 6.883
The value of x is about 6.9.
if a×b=2a=b, evaluate 4×3 do not answer with a link,photo,file.
If you are comparing a*b=4*3, a = 4 and b = 3.
This would mean that 2a = 8.
If a×b=2a=b, evaluate 4×3 , Based on the given equation, the result of 4 × 3 is 12.
To evaluate 4 × 3 using the given information, we substitute the values of a and b into the equation.
An equation is a mathematical statement that shows the equality of two expressions or quantities. It consists of an equal sign (=) placed between the two sides of the equation. The expressions on each side of the equal sign are referred to as the left-hand side (LHS) and the right-hand side (RHS) of the equation.
Equations are used to represent relationships and solve for unknown values. They can involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal is to find the value or values of the variable(s) that make the equation true.
Given: a × b = 2a = b
Let's assign a = 4 and b = 3:
4 × 3 = 2(4) = 3
Simplifying the equation:
12 = 8 = 3
Therefore, based on the given equation, the result of 4 × 3 is 12.
To know more about equation here
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Full question
If a×b=2a=b, evaluate 4×3 do not answer with a link,photo,file.
( No graph Needed)
BEUH PLEASE ANWSERRDDD THIS
Answer:
Circumference
Step-by-step explanation:
Answer:
circumference
Step-by-step explanation:
The following data points represent the number of red candy pieces in each of Nate's bags of candy.
4, 7, 11, 11,2,5,8
Using the data, create a histogram
Answer:
Kindly check attached picture
Step-by-step explanation:
Given the data:
4, 7, 11, 11,2,5,8
To create an histogram of the data, we could use the online histogram maker ;
4
7
11
11
2
5
8
Which expression is equivalent to
Answer:
Step-by-step explanation:
A
I don’t know how to do this . I need help
Bob wants to invest his $3000 in an account that gets 3.4% interest rate compounded monthly, how much money will he have after 12 years? (round to nearest whole number)
Answer:
After 12 years Bob will have $ 4,508.80 in his account.
Step-by-step explanation:
Given that Bob wants to invest his $ 3000 in an account that gets 3.4% interest rate compounded monthly, to determine how much money will he have after 12 years the following calculation must be performed:
3000 x (1 + 0.034 / 12) ^ 12x12 = X
3000 x (1 + 0.0028333) ^ 144 = X
3000 x 1.0028333 ^ 144 = X
3000 x 1.502932 = X
4,508.80 = X
Therefore, after 12 years Bob will have $ 4,508.80 in his account.
48
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and to indicate an exponent.
The formula for the volume of a cylinder is V=112h. The volume of a cylinder is three times the volume of a cone with the same radius and
height.
If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone Rin terms of the
radius of cylinder ris
Answer:
Vco = 1/3×πr2h
Vcy = Vco --> πr^2×h = 1/3πR^2×h
h's cancel, as well as π's
r^2 = 1/3R^2 --> R^2 = 3r^2 -->
SR (R^2) = SR (3r^2)
R = SR(3)×r
Step-by-step explanation:
can someone help i will give brainlest
Answer:
Your answer is x+ 9.Thanks.
Find the value of x.
(I know it’s blurry sorry, here are the numbers)
3x-9
2x+2
27
Please help!
Answer:
= -89x + 227 =
Step-by-step explanation:
The value of x in the circle is 1.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
if a tangent and a chord are drawn from a point outside a circle, and the point of intersection of the tangent and the circle is labeled as point P, then the length of the tangent squared is equal to the product of the lengths of the two segments of the chord:
Now,
From the figure,
(2x - 9)² = 27 (2x + 2)
We can start by simplifying the left-hand side of the equation:
(2x - 9)² = 27 (2x + 2)
4x² - 36x + 81 = 54x + 54
Now we can move all the terms to one side and simplify:
4x² - 90x + 27 = 0
Next, we can use the quadratic formula to solve for x:
x = (-b ± √(b² - 4ac)) / 2a
where a = 4, b = -90, and c = 27.
Plugging in the values:
x = (-(-90) ± √((-90)² - 4(4)(27))) / 2(4)
x = (90 ± √(8100 - 432)) / 8
x = (90 ± √(7668)) / 8
x = (90 ± √(447)) / 8
x ≈ 11.16 or x ≈ 1.09
Rounding to a whole number.
x = 1
Therefore,
The value of x in the circle is 1.
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Please help i would really appreciate it.
What are the coordinates of point B in the diagram?
IF CORRECT WILL GIVE BRAINLIEST
A.
(3.25, -2.5)
B.
(4, -5)
C.
(1, 3)
D.
(2.5, 0)
0.
9.
The ratio of students to adults on a field trip is 8
to 1. Whish table,correctly shows this ratio for
each grade?
A.
Grade
Number of
Students
96
Number
of Adults
88
6
7
120
112
8
136
128
B.
Grade
Number of
Students
96
Number
of Adults
104
6
7
120
128
8
136
144
C.
Grade
Number of
Students
96
Number
of Adults
12
6
7
120
15
8
136
17
D.
Grade
Number of
Students
Number
of Adults
11
6
96
7
120
13
8
136
15
Answer:
C
Step-by-step explanation:
the answer is C
12*8=96
15*8=120
17*8=136
What is the factored form of the polynomial? x2 + 9x +20 (x − 4)(x − 5) (x − 2)(x − 10) (x + 4)(x + 5) (x + 2)(x + 10)
Answer:
C. (x + 4)(x + 5)
Step-by-step explanation:
It shows I got it correct on edge
Answer:
C
Step-by-step explanation:
(x + 4)(x + 5)
Find the diameter d of the circle in the figure at the right. Round to the nearest tenth if necessary.
What is the probability of selecting two aces from a deck of cards? (with replacement)
(there are 4 aces in a deck of 52 cards)