Answer:
D
Step-by-step explanation:
(f(g(x))' = g'(x)×f'(g(x))
so,
4×e^(-7x) = g'(x)×f'(g(x)
we know that
(e^x)' = e^x
and the integral vice versa (+ C of course).
4×(e^(-7x))' = 4×(-7x)'×e^(-7x) = 4×-7×e^(-7x)
so, in order for
(f(g(x))' = 4×e^(-7x)
we need to have an additional -1/7 factor in f(g(x)) (which is the integral of (f(g(x))'):
-1/7 × 4 × e^(-7x) = -4/7×e^(-7x)
so, D is the correct answer
[tex]7x/5x^2-x[/tex]
Answer:
Hi, I'm Za'Riah! I will gladly assist you with your problem! (see explanation)
Step-by-step explanation:
Simplify:[tex]7x/5x^2-x\\= \frac{-5x^2+7x}{5x^2} \\=\frac{-5x^2+7}{5x}[/tex]
(Hope this helps!)
What is 32% expressed as a decimal?
Given the problem:
What is 32% expressed as a decimal?
To convert percentages to decimals, simply divide the percentage by 100. Or move the percentage sign two places to the left and change it to a decimal point.
So the answer is 0.32
Find the area of the shape.
Either enter an exact answer in terms of iT or use 3.14 for
and enter your answer
as a decimal.
units?
The area of the shape is 12.56 square units
How to determine the rea of the shapeFrom the question, we have the following parameters that can be used in our computation:
Radius = 2
The area of a circle is calculated as
Area = pi * r^2
Substitute the known values in the above equation, so, we have the following representation
Area = 3.14 * 2^2
Evaluate
Area = 12,56
Hence, the area is 12.56 square units
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Complete question
A circle has a radius of 2 units
Find the area of the shape.
Either enter an exact answer in terms of iT or use 3.14 for
and enter your answer
as a decimal.
units?
Please help me with this question.
The solution of the given differential initial value problem is
y(x) = 1/25 e⁻⁵ˣ(6e⁵ˣ - 5x - 6).
What is initial value problem?In multivariable calculus, an initial value problem is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain.Given is the initial value problem -
y''' + 10y'' + 25y' = 0
We can write the -
[tex]$25 \frac{d}{d x} y{\left(x \right)} + 10 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = 0$[/tex]
The given differential equation can be solved and written as -
y(x) = 1/25 e⁻⁵ˣ(6e⁵ˣ - 5x - 6)
Therefore, the solution of the given differential initial value problem is
y(x) = 1/25 e⁻⁵ˣ(6e⁵ˣ - 5x - 6).
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Complete parts (a) through (c) below.
a. A warehouse is 65 yards long, 28 yards wide, and 8 yards high. What is the area of the warehouse floor? If the
warehouse is filled to half its height with tightly packed boxes, what is the volume of the boxes?
b. A room has a rectangular floor that measures 24 feet by 18 feet and a flat 9-foot ceiling. What is the area of the
floor and how much air does the room hold?
c. A grain silo has a circular base with an area of 165 square feet and is 22 feet tall. What is the total volume?
a. The area of the warehouse floor is
(Type an integer or a decimal.)
The area of the rectangle shaped floor is 1820 square yard and other values are given below.
What is a rectangle?
A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.
For example, if one side of a rectangle is 20 cm, then the side opposite to it is also 20 cm.
A rectangle has two diagonals, that bisects each other. Both the diagonals are equal in length.
Perimeter, P = 2 (Length + Width)
Area of Rectangle=Length*Breadth
Now,
For a
As Given A warehouse is 65 yards long, 28 yards wide, and 8 yards high.
then area=65*28=1820 square yards and
If the warehouse is filled to half its height with tightly packed boxes,
the volume=L*B*H=65*28*8/2=7280 cubic yard
For b
As given A room has a rectangular floor that measures 24 feet by 18 feet and a flat 9-foot ceiling.
Area=24*18=432 square feet
volume=24*18*9=3888 cubic feet
For c
A grain silo has a circular base with an area of 165 square feet and is 22 feet tall.
area of circle=πr^2=3.14*r²=165
r²=52.5 feet
Volume=π*r²*h=3.14*52.5*22=3630 cubic feet
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EASY POINTS!
A small business takes out an $18,800 loan from a bank. How much will the small business need to repay one year later if the interest is 4.4%?
$32,720
$19,627.20
$42,727
$827.20
Answer:
$827.20
Step-by-step explanation:
0.044 x 18800 = 827.20
In one day, the stock price for Warbucks Coffee rose from $5 to $6 per share. By what percent did this stock price rise?
By 17.77 percent this stock price rises.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, In one day, the stock price for Warbeck's Coffee rose from $5 to $6 per share.
From the general formula of percentage:
Percentage = difference value/ total value * 100
In our case,
Difference value = 6-5
Difference value = 1
total value = 6
thus,
Percentage change = 1/6 * 100
percentage change = 17.77%
Therefore, By 17.77 percent this stock price rises.
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find the value of a b c d
Answer:
a= 110°, b= 70°, c= 110°*, d=70°
Step-by-step explanation:
A is congruent to 110. 180-110= 70. C is possibly drawn incorrectly if the other angle is truly 100°.
PLEASE LIST A,B,C,D,E,F
Answer:
G H I J K L M N O P Q R S T U V W X Y Z
Step-by-step explanation:
K
W
Use the accompanying radiation levels in
kg
phones. Find the percentile P25-
P25 =
for 50 different cell
W
(Type an integer or a decimal. Do not round.)
kg
0.25 0.29 0.35 0.52 0.62 0.62 0.63 0.65 0.73 0.82
0.87 0.90 0.91 0.92 0.94 0.94 0.96 0.99 1.05 1.09
1.09 1.10 1.12 1.15 1.15 1.16 1.16 1.17 1.18 1.19
1.19 1.21 1.28 1.28 1.29 1.32 1.32 1.34 1.34 1.36
1.36 1.38 1.39 1.41 1.43 1.43 1.44 1.44 1.51 1.56
na
01
The 25th percentile of radiation levels is given as follows:
P25 = 0.905 W/kg.
How to obtain the percentile rank?A measure is said to be in the xth percentile of the data-set if it the bottom separator of the bottom x% of measures of the data-set and the top (100 - x)% of measures, that is, it is greater than x% of the measures of the data-set.
In this problem, the data-set has 50 elements, hence the position of the element at the 25th percentile is given as follows:
0.25 x 50 = 50/4 = 12.5.
Meaning that the 25th percentile is the mean of the 12th and 13th elements, as follows:
P25 = (0.9 + 0.91)/2
P25 = 0.905 W/kg.
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Felix's dinner costs $16.49. Felix pays a $20 bill. ABOUT how much change did he receive? Show your work.
Answer: $3.50
Step-by-step explanation:
20.00 - 16.49 = 3.51
3.51 rounded to the nearest 10 is 3.50
Answer: 3.50
PLEASE LIST A,B,C,D,E,F (image attached)
Answer:
[tex]a (5)[/tex]
[tex]b (0,5)[/tex]
[tex]c (-3,0,5)[/tex]
[tex]d (1/3, 5/8, 66/67, -1.27)[/tex]
[tex]e( \sqrt{2} \: \sqrt{7} \: )[/tex]
[tex]f( - 3 \: 5 \: \frac{1}{3} \: \frac{5}{8} 0 \: \sqrt{2 \:} \sqrt{7} - 1.27 \: \frac{66}{67} )[/tex]
Describe the x-values at which the function is differentiable. (Enter you answer using interval notation.)
f(x) = (x+2)^2/3
Jillian is using integer tiles to add 7+(-2). She uses the steps below.
ᎧᎧᎧᎧᎧ
Step 1
Step 2
Step 3
Step 4
7+(-2)=2
+
This process that Jillian used is called the Countermatching algorithm which is a method of adding and subtracting integers.
The Countermatching algorithm
Step 1: Jillian puts a 7 tile on the table. Step 2: She then puts a negative two tile next to the 7 tile. Step 3: Jillian then counts the total amount of tiles on the table, which is 5.Step 4: She then concludes that 7+(-2)=2. In this algorithm, each number is represented by a corresponding amount of tiles.The two integers are placed side by side and then the total amount of tiles is counted.This number is the sum of the two integers. In this example, there were five tiles in total, so the sum was two.Jillian arranges two sets of integer tiles, one with a value of 7 and one with a value of -2. She then combines the two sets of integer tiles, putting the 7 together with the -2. Jillian then counts the total number of tiles, which is 5. She then reads the result of the addition, which is 2. This process of solving an addition problem using integer tiles is called a model method. This method helps students visualize the operations they are performing, allowing them to better understand the mathematics.It is especially useful for students who may have difficulty conceptualizing math operations and helps them to more easily find the solution to the problem. In addition, the model method can also be used to solve subtraction, multiplication, and division problems.To learn more about the Countermatching algorithm refer to:
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Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? 3x + 4y = 38 5x - 5y = 30
The solution of given system of equations is (10, 4).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are 3x+4y=38 -----(I) and 5x-5y=30 -------(II)
x-y=6 -------(III)
x=6+y
Substitute x=6+y in equation (I), we get
3(6+y)+4y=38
18+1y+4y=38
5y=20
y=4
Substitute y=4 in equation (III), we get
x=10
So, the solution is (10, 4)
Therefore, the solution of given system of equations is (10, 4).
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Given a power function, h (x) = 3x0.5, determine which statement(s) accurately
describes the behavior of h(x).
The domain for h(x) is [0, ∞).
h(x) has a zero at x=0.
h(x) is increasing on (-∞, ∞).
h(x) has no relative maximum.
Submit Answer
attempt 3 out of 3/problem 1 out of max 1
The power function, h(x) = [tex]$$3x^{0.5[/tex] then the domain for h(x) is [0, ∞).
What is meant by power function?A power function is a single-term function that has a real number, a coefficient, and a variable raised to a specified real number as its product. Coefficients are numbers that multiply a variable by itself when it is increased to an exponent.
A variable base raised to a fixed power is a component of a power function. This function is raised to a variable power from a constant base. Not a power function, but an exponential function is what this is.
The power function in statistics is a function that connects the likelihood of rejecting a null hypothesis on the value of a parameter to its true value. An exponential function has its variable in its exponent, whereas a power function has its variable in its base. This is the key distinction.
Therefore, the correct answer is option a) The domain for h(x) is [0, ∞).
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Which expressions are equivalent to
3
(
−
2
�
−
4
)
+
3
�
3(−2a−4)+3a3, left parenthesis, minus, 2, a, minus, 4, right parenthesis, plus, 3, a
The answer is (A) because -6a -12 +3a is the expression that equals 3 (-2a-4) +3a.
What are Expressions?A group of numbers or variables coupled with the operations +, -,/, or form an expression.
Algebraic expressions with variables, numbers, and mathematical operators, as opposed to arithmetic expressions that simply contain numbers and mathematical operators.
So, we have the expression:
3 ( -2a-4) +3a
There is just one variable in this expression: a.
The bracket will be opened using the distributive property.
The Distributive property states that multiplying a number by the sum of two other numbers will have the same outcome as multiplying the number by each addend separately.
3 * (-2a) + (3 * ( -4)) +3a
When addressing the brackets:
-6a -12 +3a
Putting like phrases together:
Similar phrases are grouped together using the Associative feature.
The associative property states that even if the order of the numbers is changed, the total of two or more remains the same:
-6a +3a -12
+3a -12
Therefore, the answer is (A) because -6a -12 +3a is the expression that equals 3 (-2a-4) +3a.
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Complete question:
Which expressions are equivalent to 3(-2a-4)+3a3(−2a−4)+3a3, left parenthesis, minus, 2, a, minus, 4, right parenthesis, plus, 3, a ? Choose all answers that apply: Choose all answers that apply: (Choice A) A -6a-12+3a−6a−12+3aminus, 6, a, minus, 12, plus, 3, a (Choice B) B 3a+123a+123, a, plus, 12 (Choice C) C None of the above
If a car travels at a constant speed of v miles per hour for t hours, it will travel vt miles.
Evaluate vt for v=61 and t=5. What does your result mean in this situation?
Answer:
Below
Step-by-step explanation:
Traveling VT miles is the same as multiplying V and T
They give us both V and T so we will multiply those two numbers
(61)(5) = 305
This result means that
The car was driving 61 miles per hour
The car was driving this speed on average for 5 hours
The car traveled 305 miles in 5 hours
Select the correct answer. In the notation "s(x) = ...," what does "s(x)" represent? A. There is not enough information to answer this question. B. The value of s(x) depends on the value of x, since s is a function of x. C. The value of x depends on the value of s(x), since x is a function of s. D. The value found when s is multiplied by the value x.
The value of s(x) depends on the value of x since s is a function of x.
What is a function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Here,
We know that for any function f(x) ; x represents the independent variable i.e. the variable whose value is defined and y=f(x) denotes the dependent variable i.e. the variable whose value is defined corresponding to the independent variable.
i.e. it depends on the variable x.
Similarly here s(x) is the dependent variable since it is defined corresponding to the variable x.
Hence, The value of s(x) depends on the value of x, since s is a function of x.
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75° 30’ convert into radian
When 75°30' converted into radian it will be 1.309 radians.
What do you mean by radian?A radian is a unit of measurement for angles in mathematics. It is defined as the angle formed at the center of a circle by an arc that is equal in length to the radius of the circle. In other words, a radian is the angle that subtends an arc equal in length to the radius of the circle.
The radian is used as a unit of measurement because it provides a convenient and natural way to describe angles in terms of their relationship to circles. It allows for the calculation of angles in terms of lengths, making it easier to solve problems involving circular motion and trigonometry. The conversion between degrees and radians is given by the formula: 1 radian = 180/π degrees, where π is the mathematical constant pi.
To convert degrees to radians, use the formula: radians = (degrees × π) / 180.
For 75° 30', the conversion to radians is:
radians = (75° 30' * π) / 180 = (75 + 30/60) * π / 180 = 1.309 radians.
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(a+8)/5 + (a-8)/7 = 4
The value of a is 31/3 in the equation (a+8)/5 + (a-8)/7 = 4.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is (a+8)/5 + (a-8)/7 = 4
Multiply with the LCM
7(a+8)+5(a-8)=140
Apply distributive property
7a+56+5a-40=140
Add the like terms
12a+16=140
12a=124
Divide both sides by 12
a=124/12
a=31/3
Hence, the value of a is 31/3 in the equation (a+8)/5 + (a-8)/7 = 4.
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A camera has a listed price of $704.95 before tax. If the sales tax rate is 9.75%, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$773.55
Step-by-step explanation:
To find the total cost of the camera with the sales tax included, you need to calculate the amount of sales tax and add it to the listed price of the camera.
The sales tax rate is given as 9.75%. To convert this to a decimal, divide the percentage by 100: 9.75/100 = 0.0975
To find the amount of sales tax, multiply the listed price of the camera by the sales tax rate as a decimal: $704.95 x 0.0975 = $68.60
To find the total cost of the camera, add the amount of sales tax to the listed price: $704.95 + $68.60 = $773.55
So the total cost of the camera with the sales tax included is $773.55
Very confused please help!
The units of R'(7) are gallons/hour/hour, or equivalent gallons/hour is 6 = 0.15 gallons per hour and 2 R(t) dt using the average Riemann sum with four equal length partitions is 383.04 gallons.
How to calculate the total estimate?(a) R'(7), you can use the mean rate of change formula.
R'(7) ≈ [R(10) - R(4)] / [10 - 4]
With the data from the table it looks like this:
R(10) = 11.3 gallons per hour
R(4) = 10.4 gallons per hour
For this,
R'(7) ≈ (11.3 - 10.4) / 6 = 0.15 gallons per hour
The units of R'(7) are gallons/hour/hour, or equivalent gallons/hour squared.
(b) To approximate 2 R(t) dt using the average Riemann sum with four equal length partitions, we can use
Δt = (24 - 0) / 4 = 6
2 R(t) dt ≈ 2Δt [R(1.5Δt) + R(4.5Δt) + R(7.5Δt) + R(10.5Δt)]
With the data from the table it looks like this:
R(1.5Δt) = R(4.5) = 10.4 gallons/hour
R(4.5Δt) = R(10.5) = 11.3 gallons per hour
R(7.5Δt) = R(16.5) = 10.2 gallons/hour
R(10.5Δt) = R(22.5) = 9.6 gallons per hour
For this,
2 R(t) dt ≈ 2(6) [10.4 + 11.3 + 10.2 + 9.6] = 383.04 gallons
The approximate unit of integral is the gallon.
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Is it ever possible to have a graph of a function that is symmetric about the y-axis AND the origin? Explain your thinking. (say yes or no and explain in more detail)
Yes, it is possible to have a graph of a function that is symmetric about both the y-axis and the origin. This means that if (x, y) is a point on the graph, then (-x, y) and (x, -y) are also points on the graph.
In other words, the function has both reflectional symmetry about the y-axis and rotational symmetry about the origin. An example of such a function is y = x², which is a parabolic function that opens upwards and is symmetric about both the y-axis and the origin.
What is the function about?A graph is symmetric about the y-axis if the graph is unchanged when reflected over the y-axis. This means that for any point (x,y) on the graph, the corresponding point (-x,-y) will also be on the graph. A graph is symmetric about the origin if the graph is unchanged when reflected over the origin.
Therefore, This means that for any point (x,y) on the graph, the corresponding point (-x,y) will also be on the graph. When a graph is symmetric about both the y-axis and the origin, it means that the graph is unchanged when reflected over either the y-axis or the origin.
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HELP PLEASE I WILL GIVE BRAINLIEST
If algebra tiles have the dimensions shown here, what would you call this tile collection?
In other words, what is the total area of all of the pieces?
Write the expression algebraically, using `x,\ x^{2},\ y,\ y^{2}` and `xy`.
Answer:
Below
Step-by-step explanation:
Add all of the areas area = L x W
x * 1 + xy +y*1 + y*y + x * x =
x + xy + y + y^2 + x^2 =
x^2 + y^2 + xy + x + y
A bakery sells three varieties of muffins. On a recent morning, the bakery sold 41 blueberry muffins, 27 bananas nut muffins and 20 bread muffins. Estimate the total number of muffins sold.
Please help me with this question.
Based on the information provided, the area of this triangle is 44.17 square centimeters.
How to calculate the area of a triangle?The area of a triangle (surface occupied by the triangle) can be calculated using the three lengths of the sides of the triangle or using two sides and one angle as it is shown below:
Multiply the two sides given: 5.6 cm x 18.6 cm = 104.16 square centimeters.Multiply this value by sin (y) 104.16 x 58 sin = 44.17 cmBased on this, the area of the triangle given is 44.17 square centimeters.
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Find the point-slope form of the equation of the line satisfying the conditions below and use this to write the slope-intercept form of the equation:
Slope = 3/4, passing through (0, 4)
Select one:
a.
y = 3/4x - 4
b.
y = 3/4x + 4
c.
y = -3/4x - 4
d.
-4/3x - 16/3
Answer:
b
Step-by-step explanation:
Point (0,4) slope (3/4) form would be
y-4 = 3/4 ( x-0) re-arrange to y = mx + b form
y = 3/4x + 4
HELP SOS MATHHH MATHH
Answer:
(2s,0)
Step-by-step explanation:
since there are no numbers at point M to help find point L answer should be (2s,0)
Answer:
(2s,0)
Step-by-step explanation:
because it's isosecle triangle so do a line from M to x axis, it should be the mid point of L. so L =2s
L is on x-axis, so y=0
I added a screenshot.
Answer:
gyyvggghhbbdsdgbnkkk