Answers
The composition function for the given situation is (c·r·b)(x) or (r·c·b)(x). Therefore, options B and F are the correct answers.
The given functions are c(x)=2x, b(x)=x+5 and r(x)=0.75x.
What is the composite function?When the result of one function is used as the input for another, this is known as a composite function.
The most common kind of critical hit simply deals additional damage, most commonly dealing double the normal damage that would have been dealt, but many other formulas exist as well (such as ignoring defense of the target or always awarding the maximum possible damage).
A critical hit has the base damage x multiplied, next the damage reduction is applied to the critical hit. Bonus damage is not subject to damage reduction or critical hits, so this is applied last.
Here, Critical hit × Bonus × Damage reduction
That is, (c·r·b)(x) or (r·c·b)(x)
The composition function for the given situation is (c·r·b)(x) or (r·c·b)(x). Therefore, options B and F are the correct answers.
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Related Questions
Given a rectangle with an area of 40 x 6y9z and a side of 10 x ³y ³, find
the length of the other side.
Answers
The length of the other side is 4x⁻².6y⁻².9z .
How to calculate area of rectangle ?
The area of a rectangle is equal to its length times its width. Follow the steps mentioned below to find the area of a rectangle:
Step 1: Note the dimensions of length and breadth from the given data.
Step 2: Find the product of length and breadth values.
Step 3: Give the answer in square units.
Given :
Area = 40x.6y.9z
length of one side = 10 x ³y ³
∵Area of rectangle = length ˣ breadth
∴ 40x.6y.9z = 10 x ³y ³ × length of other side
length of other side = [tex]\frac{40x.6y.9z}{10 x^{3} y^{3} } = 4x^{-2} . 6y^{-2} . 9z[/tex]
Hence , the length of the other side is 4x⁻².6y⁻².9z .
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The length of a rectangle is 3yds less than double the width, and the area of the rectangle is 44yd^2 . Find the dimensions of the rectangle.
Answers
Answer:
length = 8 yds
width = 5.5 yds
Step-by-step explanation:
Area of rectangle = l * w
w = width
length = 2w - 3
Substitute l with 2w - 3:
(2w - 3)*w = 44
2w² - 3w = 44
2w² - 3w - 44 = 0
Solve for w (AC method):
2w² + 8w - 11w - 44 = 0
2w(w + 4) - 11(w + 4) = 0
(2w - 11)(w + 4) = 0
w = 5.5 or w = -4
note: length cannot be negative, so w = 5.5 yds
Substitute w with 5.5 in either equation:
5.5 * l = 44 yds²
l = 44/5.5 = 8 yds
or
l = 2(5.5) - 3
l = 11 - 3 = 8 yds
Jake has a shipping box with the following dimensions.
length: 12
inches
width: 4
inches
height: 8
inches
Havana has a shipping box similar to Jake's box, but each dimension is half as long.
How many times greater is the volume of Jake's box than Havana's box?
Answers
Jakes shipping box.
Volume of box = W * L * H
Volume of box = 4 * 12 * 8
= 48 * 8
= 384
Volume of havanas shipping box
W = 2
L = 6
H = 4
Volume of box = 2 * 6 * 4
= 48
384 / 48 = 8
Jake's box has 8 times more volume than Havana's box.
Hope this helps :)
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- Jeron
Which matrix equation can be used to solve the system? {(2x+3y=4),(x+y=7):}
Answers
Use matrices created using the coefficients of the unknowns and their related determinants to apply Cramer's rule.
How should a matrix equation be written?Three easy actions must be taken in order to describe this system as a matrix:
First, create a matrix with all the coefficients. An acronym for this is a coefficient matrix.
Multiply this matrix by the system setup's variables in another matrix.
In another matrix, place the solutions on the other side of the equal sign.
A = [[2, 3], [1, 1]]
A_{x} = [[3, 4], [1, 7]] d
A{y} = [[2, 4], [1, 7]]
det (A) = 2-3=-1
det (Ax) = 14 - 4 =10
Delta_{y} = [[2, 4], [1, 7]] det (A7), 22-2012
x = (det (Ax))/(det (A)) = 10
det (Ay) = 14 - 4 =10
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If i² = -1, then (i)(1 + 2)(2-3i)² = ?
Answers
Answer:
[tex]36-15i[/tex]
Step-by-step explanation:
[tex](i)(1+2)(2-3i)^2 \\ \\ =3i(2-3i)^2 \\ \\ =3i(9i^2 + 4 -12i) \\ \\ =3i(-9+4-12i) \\ \\ =3i(-5-12i) \\ \\ =-15i-36i^2 \\ \\ =36-15i[/tex]
The following are the dimensions of each room in a house:
Living room = 20 ft x 15 ft Kitchen = 12 ft x 10 ft
Bedroom 1 = 12 ft x 12 ft Bedroom 2 = 12 ft x 10 ft
Bathroom = 8ft x 12 ft
What is the total square footage of the house?
Answers
The total square footage of the house is 3776 square feet.
What is dimension?
A database of research grants called Dimensions connects funding to publications, clinical trials, and patents as well as other outcomes. Dimensions is a part of the technology firm Digital Science, which has its global headquarters in London, United Kingdom.
Given:
The dimensions of each room are,
Living room = 20 ft x 15 ft
Kitchen = 12 ft x 10 ft
Bedroom 1 = 12 ft x 12 ft
Bedroom 2 = 12 ft x 10 ft
Bathroom = 8ft x 12 ft
So, the total square footage is,
(20 + 12 + 12 + 12 + 8) ft x (15 + 10 + 12 + 10 + 12) ft = 64 ft x 59 ft = 3776 square feet.
Hence, the total square footage of the house is 3776 square feet.
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Diego has 27 ounces of juice he pours equal amounts for his 3 friend and has 6 ounces left
Answers
Answer:
3x + 6 =27
Step-by-step explanation:
A. The solution is 7! First I Subtracted 6 from both sides of the equation, Then I Divided both sides of the equation by the same term. Then I got "7" from doing the following.
B. The solution is the x in the answer which is the amount of juice he poured.
"Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself"
Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)?
Answers
The equation of a parabola with a directrix at y = −3 and a focus at (5, 3) is y=1/12(x - 5)² .
What is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
Given that the directrix of parabola is at y=-3.
Focus at (5, 3)
parabola with equation (x - h)² = 4p(y - k)
p = 3 because the distance from the focus to the directrix is 6 and p = 6/2.
The vertex (5, 0)
Substitute h as 5 and k as 0.
(x - 5)² = 4(3)(y - 0)
(x - 5)² = 12y
Divide both sides by 12
y=1/12(x - 5)²
Hence, the equation of a parabola with a directrix at y = −3 and a focus at (5, 3) is y=1/12(x - 5)² .
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9 i don't know how to do
Answers
Answer:
9. see below for proof; θ ∈ {45°, 135°, 225°, 315°}
11. see below for proof; x ∈ {109.47°, 250.53°}
Step-by-step explanation:
You want to prove two trig identities, then use those to solve trig equations.
9. 2tan²(θ)sin²(θ) = 1It is often useful to use the identities ...
tan = sin/cossin² +cos² = 1(i) Doing that here, we get ...
[tex]2\tan^2\theta \sin^2 \theta=1\\\\2\dfrac{\sin^2\theta}{\cos^2\theta}\sin^2\theta=1\qquad\text{replace tan}\\\\\dfrac{2\sin^4\theta}{1-\sin^2\theta}=1\qquad\text{replace $\cos^2$}\\\\2\sin^4\theta=1-\sin^2\theta\qquad\text{multiply by $(1-\sin^2\theta)$}\\\\2\sin^4\theta+\sin^2\theta-1=0\qquad\text{put in standard form}[/tex]
(ii) Substituting x=sin²(θ), we have the quadratic ...
2x² +x -1 = 0
The quadratic formula gives the solutions as ...
x = (-1 ±√(1 -4(2)(-1)))/(2(2)) = (-1±3)/4 = -1, 1/2
The value of sin(θ) is the square root of these values. √-1 is imaginary, so does not give us any solutions. √(1/2) = (±√2)/2, corresponding to ...
sin(θ) = (±√2)/2
θ ∈ {45°, 135°, 225°, 315°}
11. sin(x)tan(x)/(1 -cos(x)) = 1 + 1/cos(x)(i) Substituting as suggested above, we have ...
[tex]\dfrac{\sin x\tan x}{1-\cos x}=1+\dfrac{1}{\cos x}\\\\\dfrac{\sin^2 x}{\cos x(1-\cos x)}=\qquad\text{substitute for $\tan x$}\\\\\dfrac{1-\cos^2 x}{\cos x(1-\cos x)}=\qquad\text{substitute for $\sin^2 x$}\\\\\dfrac{1+\cos x}{\cos x}=1+\dfrac{1}{\cos x}\qquad\text{cancel the common factor}\\\\1+\dfrac{1}{\cos x}=1+\dfrac{1}{\cos x}\qquad\text{Q.E.D.}[/tex]
(ii) Using this result, the equation can be written ...
(1 +1/cos(x)) +2 = 0
1/cos(x) = -3 . . . . . . . . . subtract 3
x = arccos(-1/3) . . . . . . . solve for x
x ∈ {109.47°, 250.53°} . . . . approximately
This figure is made up of two rectangular prisms.
What is the volume of the figure?
Enter your answer in the box.
cm³
6 cm
2 cm
22 cm
↓
5 cm
13 cm
2
Answers
The aggregate volume of the two rectangular prisms is 330 cubic cm.
What is meant by the volume of rectangular prisms?The base's area multiplied by the height gives the rectangular prism its volume. So the formula for a rectangular prism's volume is as follows. Using cubic units, the volume of a rectangular prism = length × breadth × height
The volume is going to be the addition of two volumes.
We are going to divide the shape into two.
Volume = length × breadth × height
Section A and section B
Volume = length × breadth × height
Volume of section A is = 2 × 10 × 9
Volume of section A = 180 cm³
Volume = length × breadth × height
Volume of section B is = 3 × 5 × 10
Volume of section B = 150cm³
Total volume = volume of section A + volume of section B
Total volume = 180cm³ + 150cm³
Total volume = 330cm³
The complete question is:
The figure below is made of 2 rectangular prisms.
What is the volume of this figure?
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Grade 7 Envision math volume 1
Answers
Answer:
The table of contents for Envision Math Volume 1 includes the following topics:
1. Whole Number Operations
2. Decimals
3. Fractions and Mixed Numbers
4. Algebraic Thinking
5. Geometry
6. Measurement
7. Data Analysis and Probability
8. Integers
9. Ratios and Proportional Relationships
10. Expressions and Equations
11. Geometric Measurement and Transformations
12. Statistics and Probability
1. The volume of a cone is 125 π in³. The height is three times the length of the radius. What is the height of the cone?
a 20 inches
b 25 inches
c 18 inches
d 15 inches
Answers
Answer:
15
Step-by-step explanation:
Vcone = πr²h/3
125π = πr²(3r/3)
π cancels out, 3 cancels out leaving:
125 = r³
r = ∛125 = 3
h = 3r = 3 x 5 = 15
What is the relationship between 5 and 20
Answers
20 is is equal to 5 multiplied by 4.
5 is equal to 20 divided by 4
4 times 5 equals 20
20/5= 4
20/4=5
What is the y-intercept of the line y=-2/3 x ?
a. -2/3
c. 1
b. 0
d. 3/2
D
A
C
B
Answers
Answer:
a
Step-by-step explanation: becasue i said so
Answer:
d) B => b. 0
Step-by-step explanation:
Now we have to,
→ find the y-intercept of the line.
Formula we use,
→ y = mx + b
→ b = y-intercept
Then the y-intercept is,
→ y = mx + b
→ y = (-2/3)x + 0
→ [ b = 0 ]
Hence, the y-intercept is 0.
keeps a farmer keeps cows in an enclosed rectangular pasture with the length of 2.2 * 10 ^ 2 ft and a width of 3.1 * 10 ^ 3 ft what is the area of the rectangular pasture
Answers
Answer:
6.82 × 10⁵ ft²-------------------------------
Use dimensions of the rectangle to find its area:
A = lwA = 2.2 × 10² × 3.1 × 10³ = (2.2×3.1) × 10²⁺³ = 6.82 × 10⁵ ft²find the ninth power of 10. Write it as repeated multiplication, with an exponent, and as a whole number.
Answers
The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 10⁹
The value of the expression by the repeated multiplication will be given as,
⇒ 10⁹
⇒ 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
⇒ 1,000,000,000
The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.
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Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter. x = et, y = e3t + 4
Answers
The graph of the function x = [tex]e^t[/tex], y = [tex]e^{3t} +4[/tex] has been shown
The rectangular equation is [tex]y = x^3+4[/tex]
What is graph of a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Graph of a function f(x) is the collection of all points of the form (x, f(x))
x = [tex]e^t[/tex], y = [tex]e^{3t} +4[/tex]
[tex]x^3 = e^{3t}[/tex]
So the required curve in rectangular equation is
[tex]y = x^3+4[/tex]
The graph has been given
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What is an equation of the line that passes through the point (-3,-1) and is perpendicular to the line 6x−2y=6?
Answers
Answer:
write the given equation in a standard form
6x - 2y = 6
-2y = -6x + 6
y = 3x - 3
m = 3
if the lines are perpendicular to each other the product of their gradient is equal to -1
m1 × m2 = -1
3 × m = -1
3m = -1
m = -1/3
y - y1 = m(x - x1 )
y - (-1) = -1/3 ( x - (-3) )
y + 1 = -1/3 (x + 3 )
y + 1 = -1/3x - 1
y = -1/3x - 1 + 1
y = -1/3x
2. Minji bought 4 necklaces, each
costing $9.00. Then,
She started with $60.00. How
much does she have now?
Answers
Answer:$24
Step-by-step explanation: if she started with $60 and she bought 4 neckless with the cost of each $9 we get so $9x4 is 36
$60-$36=24
$24
A worker is filling out his timesheet. He worked 8 hours on Monday, 7 hours and 30 minutes on Tuesday, 8¾ hours on Wednesday, 4 hours on Thursday, and 8¼ hours on Friday. If he earns $14.35 per hour, what will be his gross pay for this week? (Enter numeric value only. Round your answer to the nearest penny.)
Answers
The gross pay of worker this week is $432.325
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Number of money made in one hour = $ 14.35
Number of hours, worked on Monday = 8 hours
Number of hours, worked on Tuesday = 1/2 hours
Number of hours, worked on Wednesday = 8¾ hours
Number of hours, worked on Thursday = 4 hours
Number of hours, worked on Friday = 8¼ hours
Total number of worked = 4 + 8 + 8¼ + 8¾ + 1/2
= 29.5
Total gross pay = 14.35 × 29.5
= $432.325
Thus, The answer is $432.325
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Use 3.14 for the value of pie , and round your answers to two decimal places, where applicable. If the radius of a circle is 3 cm, what is its circumference?
Answers
Answer:
18.85
Step-by-step explanation:
C=2πr
2(pi)3=18.85
need assistance please
Answers
The range is $53000
About 30 graduates made $25,00050% earn above $33,00025% of the graduates earn above $25,000The range of the starting salariesThe box and whisker plot represents the given parameter
From the plot, we have the following representations:
Least salary = 19,000
Highest salary = 72,000
The range is calculated as
Range = Highest salary - Least salary
Substitute the known values in the above equation, so, we have the following representation
Range = 72000 - 19000
Evaluate
Range = 53000
Amount made by about 30 graduatesWe have
Total graduates = 120
30 out of 120 is 1/4
This means that
30 graduates = Lower quartile
From the plot, we have
Lower quartile = 25,000
This means that
30 graduates = 25,000
Graduates with salary of above $33000The salary of $33000 is at the median position
This means that
50% earn above $33,000
25% of the graduates25% represents the lower quartile
From the plot, we have
Lower quartile = 25,000
This means that
25% of the graduates earn above $25,000
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please help me! Help me solve this problem. The first three terms of an arithmetic sequence are 9, 16, and 23. Which of the following would be this sequences 20th term?
Answers
Answer:
142
Step-by-step explanation:
Definition: an = a1 + f × (n-1)
Sequence: 9, 16, 23, 30, 37, 44, 51, 58, 65 ...
Common Difference: +7
The sum of all numbers up through the 20th: 1510
20th value: 142
Hope this helps! :)
PLEASE HELP THE QUESTION IN THE PICTURE.
Answers
Answer:
The first expression, (5^2*x^6*y^(-7))(5*x^0*y^28)
Step-by-step explanation:
Basically, add up the exponents for each unique base. We have two exponents with bases of 5 in this expression, 5^2 and 5 (which is equal to 5^1). Add the exponents together to get 3, so you have 5^3 = 125.
Add up the exponents for bases of x this time. We have x^6 and x^0. 6 + 0 = 6, so we have x^6.
Finally add up the exponents for bases of y. We have y^28 + y^(-7) = 28 + (-7) = 21, so we have y^21.
Nicholette McClure has family medical coverage through the group medical plan her employer provides. The annual
cost of the plan is $5,000. The company pays 75 percent. How much is deducted from her semimonthly paycheck for
medical insurance?
Answers
Answer:
Nun, ich denke, das ist die Hoffnung, dass dies wirklich hilft und sich daran erinnert, dass nur Jesus rettet
Step-by-step explanation:
Danke!
Complete the linear equation in slope-intercept from with the slope -8 and the y-intercept (0,10)
y=______x+______
Answers
Answer:
y = -8x + 10.
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -8 and the y-intercept is (0, 10), so the equation is y = -8x + 10.
6 multiply by 3 subtract 2 divide by 4 add 7
Answers
Answer:
11
Step-by-step explanation:
6x3
=18
-2
=16
divided by 4
=4
+7
=11
Answer:13.5
Step-by-step explanation:
6x3-2/4+7
First multiply 6 and 3. Then divide 2 and 4.
18-0.5+7
Then subtract 0.5 from 18 and add 7
18-0.5= 16.5
16.5+7= 13.5
A line passes through the points (4, 440) and (6, 560)
on a cooridinate grid. What is the equation of the line?
A. y = 60x + 200
B. y = 120x + 2
C. y = 200x + 60
D. y = 2x + 120
Answers
The equation of a line is given by y = mx + c
What exactly is a line equation?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 120.
The slope of a line that passes through (4,440) and (6,560) is 0.676.
We have,
The equation of the line y = mx + c.
The line passes through (4,440) and (6,560).
This means,
We can find the slope using the coordinates (4,440) and (6,560).
Slope = m
m = (4,440) / (6,560)
m = 0.676
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Solve the equation n/(200 - n) = 3/5
Answers
The value of n after solving the given equation comes to 75.
What are equations?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation.
A variable, coefficients, and constants make up an algebraic equation in most cases.
So, we have the equation:
n/(200 - n) = 3/5
Now, solve for x as follows:
n/(200 - n) = 3/5
5n = 600 - 3n
8n = 600
n = 600/8
n = 75
Therefore, the value of n after solving the given equation comes to 75.
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Annual cost of insurance: $4,160. Employer pays 80 percent. 52 pay periods. Find the deduction per pay period.