Answer: Determine whether (–x)3 + 5(–x) + 1 is equivalent to x3 + 5x + 1.
To determine if a function is even, we need to check if f(-x)=f(x).
what is d33z + nutz?
Which figure has a perimeter of 34 feet ?
Option(s):
A)
B)
C)
D)
A regular hexagon has an apothem of 14. 7 inches and a perimeter of 101. 8 inches. What is the area of the hexagon?.
Answer:
748.23 in²
Step-by-step explanation:
Area of a Regular Polygon
[tex]\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}[/tex]
where:
n = number of sidesl = length of one sidea = apothemGiven:
n = 6l = 101.8 ÷ 6a = 14.7Substituting the given values into the formula and solving for A:
[tex]\implies \textsf{A}=\dfrac{6 \cdot \dfrac{101.8}{6} \cdot 14.7}{2}[/tex]
[tex]\implies \sf A=\dfrac{101.8 \cdot 14.7}{2}[/tex]
[tex]\implies \sf A=\dfrac{1496.46}{2}[/tex]
[tex]\implies \sf A=748.23[/tex]
Therefore, the area of the hexagon is 748.23 in²
Determine the perimeter of the figure shown, correct to decimal place.
HELP IS MUCH APPRECIATED!
Answer:
15pi
Step-by-step explanation:
assuming the rounded shapes are semi-circles, we can determine each of their perimeters by the known formula for a full-circle, and divide by 2.
the perimeter of a circle with radius r, is 2×pi×r, hence, a semi-circle, is pi×r.
now we need to find r.
for the given side-length, we simply divide by 2, and we get 2.5 and 6.
for the missinf side-length, we use the Pythagorean formula - a²+b²=c², where a=5 and b=12, we get c=13. hence the third radius is 6.5.
now, the total perimeter will be:
2.5pi+6pi+6.5pi=15pi
Need some help, kinda stuck
Answer:
7/4
Step-by-step explanation:
[tex] \displaystyle\frac{2 + \sqrt{ - 3} }{2} ( \frac{2 - \sqrt{ - 3} }{2} )~~~~~~ [/tex]
Evaluate.
Solution:
Rewrite it as,
[tex] \displaystyle\frac{2 + \sqrt{ - 1 } \sqrt{ 3} }{2} ( \frac{2 - \sqrt{ - 1} \sqrt{3} }{2} )[/tex][tex] \displaystyle\frac{2 + i\sqrt{ 3} }{2} ( \frac{2 - i\sqrt{ 3} }{2} )~~~~~~ [/tex]Multiplying them,
[tex] \displaystyle\frac{(2 + i\sqrt{ 3})\times(2 - i \sqrt{3}) }{2 \times 2} [/tex][tex]\displaystyle\frac{(2 + i\sqrt{ 3})\times(2 - i \sqrt{3}) }{4} [/tex]Applying Distributive property,
[tex]\displaystyle\frac{2(2 + i\sqrt{ 3}) + \: i \sqrt{3} (2 - i \sqrt{3}) }{4} [/tex][tex] \cfrac{2 \times 2 + 2( - i \sqrt{3} ) + i \sqrt{3}(2 - i \sqrt{3} ) }{4} [/tex][tex] \cfrac{2 \times 2 + 2( - i \sqrt{3}) + i \sqrt{3} \times 2 + i \sqrt{3} ( - i \sqrt{3}) }{4} [/tex]Combining each terms,
[tex] \cfrac{4 - 2i \sqrt{3} + 2i \sqrt{3} + 3}{4} [/tex][tex] \cfrac{ - 2i \sqrt{3} + 2i \sqrt{3} + 7 }{4} [/tex][tex] \boxed{\cfrac{ 7}{4} }[/tex]Last Choice is accurate.
Which graph shows the same end behavior as the graph of f(x) = 2x6 – 2x2 – 5?
The graph that shows the same end behavior as the graph of f(x) = 2x⁶ – 2x² – 5 is graph A.
How to explain the graph?
In order to find the end behavior of the graph, we need to find the degree of the given function and the leading coefficient. The highest power of x is 6.
The leading coefficient is the coefficient of the highest power term. We have the highest power term is 2x⁶. The leading coefficient is 2 (Positive number)
Therefore, The graph that shows the same end behavior as the graph of f(x) = 2x⁶ – 2x² – 5 is graph A.
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I would like to know how to solve this problem.
Answer:
what problem?
Step-by-step explanation:
What is the value of the expression below if a=5, b=18, and c=8?
169 - a2
______ +24
b - c
Please help! I'm in a hurry
The value of the expression 169 - a² + 24b - c is 568.
How to calculate the value?From the information, the expression that's given is 169 - a² + 24b - c.
In this case, the values of the variables have been given and you just need to slot them into the expression. This will be:
= 169 - a² + 24b - c.
= 169 - 5² + (24 × 18) - 8
= 169 - 25 + 432 - 8
= 568
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PLEASE ASAP
Which will result in a difference of squares?
a. (-7x+4)(-7x+4)
b. (-7x+4)(4-7x)
c. (-7x+4)(-7x-4)
d. (-7x+4)(7x-4)
Answer:
c. (-7x+4)(-7x-4)
Step-by-step explanation:
The factoring of the difference of squares is ...
a² -b² = (a +b)(a -b)
__
In each of these answer choices, you have a first factor of ...
(a +b) = (-7x +4)
so, you're looking for a second factor that is ...
(a -b) = (-7x -4) . . . . . . . . matches choice C
(-7x +4)(-7x -4) results in a difference of squares
__
Check
(-7x +4)(-7x -4) = (-7x)(-7x) +(-7x)(-4) +(4)(-7x) +(4)(-4)
= (-7x)² +28x -28x -4²
= (-7x)² -4² . . . . . . . . the difference of squares
The difference of the squares is given by the polynomial A = (-7x+4)(-7x-4)
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = (-7x+4)(-7x-4)
From the polynomial equation , we get
A = ( a + b ) ( a - b )
A = a² - b²
So , on simplifying , we get
A = (-7x+4)(-7x-4)
From the difference of squares , we get
A = ( -7x )( -7x ) + 4 ( -7x ) - 4 ( -7x ) - ( 4 ) ( 4 )
A = ( -7x )² - ( 4 )²
A = 49x² - 16
Hence , the polynomial is 49x² - 16 = (-7x+4)(-7x-4)
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trigonometry question proof
Answer: 2
Step-by-step explanation:
We can manipulate the left-hand side as follows.
[tex]\tan \theta+\cot \theta\\\\=\frac{\sin \theta}{\cos \theta}+\frac{\cos \theta}{\sin \theta}\\\\=\frac{\sin^{2} \theta+\cos^{2} \theta}{\cos \theta \sin \theta}\\\\=\frac{1}{\cos \theta \sin \theta}\\\\=\frac{1}{\frac{1}{2} sin 2\theta}\\\\=\boxed{2} \text{ cosec} 2\theta[/tex]
Determine if each quadrilateral must be a parallelogram. Justify your answer.
*Explain why please
Answer:
Yes - opposite lines are parallel
Yes - a pair of opposite liens are parallel and a pair of opposite angles are parallel
Step-by-step explanation:
Lisa can drive 81 miles in the same amount of time it takes her to ride her bike 18 miles. if she drives at a speed that is 28 miles per hour faster than she rides her bike, how fast is she riding her bike?
The speed of her bike in miles per hour is 8 miles per hour.
How to find the speed of her bike?let
x = time she can ride 81 miles on car and 18 miles on bike
Therefore,
let the speed of the car = y + 28
speed of the bike = y
speed = distance / time
Therefore,
y + 28 = 81 / x
y = 18 / x
18 / x + 28 = 81 / x
28 = 81 / x - 18 / x
28 = 81 - 18 / x
28 = 63 / x
28x = 63
x = 63 / 28
x = 2.25
Therefore,
y = 18 / 2.25
y = 8 miles per hour
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ASAP PLEASE! PART TO PART RATIOS!
2) Line segment BA¯¯¯¯¯¯¯¯ has endpoints B(−6,1) and A(4,6).
What are the coordinates of the point that partitions BA¯¯¯¯¯¯¯¯
according to the part-to-part ratio 2:3?
(4,0)
(−2,3)
(3,−2)
(0,4)
3) Line segment AB¯¯¯¯¯¯¯¯ has endpoints A(−1,6) and B(5,−6).
What are the coordinates of the point that partitions AB¯¯¯¯¯¯¯¯
according to the part-to-part ratio 1:5?
(4,0)
(0,4)
(−4,4)
(4,−4)
Answer:
b). (0, 4)
if you need an explanation, comment, and I will put one in for you :)
help please! im marking brainliest for the best answer
Answer:
A,
150 ml
Step-by-step explanation:
Given:
A holds 650 ml
B holds 0.5 litre
Solution:
1) Which container holds the higher amount?
1 litre = 1000 ml
0.5 litre = 1000 / 2 = 500 ml
=> B holds 500 ml
650 ml > 500 ml
2) How much more does it hold?
650 ml - 500 ml = 150 ml
Which of the following is a proportional relationship?
y = 2x
y = 2x2
y = x3
y = 2x2 + 3x + 4
The two equations represent the proportional relationship.
y=3x and y=12x are proportional relation ship equations
proportion equations can be defined as
If we change x the y will change in the same proportion.
What is the proportional relationship?
Proportional relationships are relationships between two variables where their ratios are equivalent.
Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.
That constant is known as the constant of proportionality.
proportional relationship equation contain (0,0) points
If we put x=0
This will give us,y=0
If we put x=0, in y=12x
It will give y=0
put if we put x=0 in
y=3x it will give us y=0
hence these two equations represent the proportional relationship.
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a cube has side length 4 centimeters is 25% full of sand.what is the volume of the sand?
Using the graph below, calculate the average rate of change for f(x) from x = 0 to x = 2.
exponential function going through points 0, negative 2 and 2, 6
x = −4
x = −2
x = 2
x = 4
The average rate of change for f(x) from x = 0 to x = 2 will be 4. Then the correct option is D.
What is the average rate of change?Let the function y = f(x).
Then the average rate of change will be
Average rate of change = (y₂ - y₁) / (x₂ - x₁)
Then the average rate of change for f(x) from x = 0 to x = 2 will be
The exponential function going through points (0, -2) and (2, 6).
Then we have
Average rate of change = (6 + 2) / (2 - 0)
Average rate of change = 8 / 2
Average rate of change = 4
Then the correct option is D.
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PLEASE HELP:
if √3 cos x - sin x = B cos(x+θ), show that b cosθ = √3 and b sin θ = 1
Step-by-step explanation:
See attached image for proof
Graph the logarithmic function f(x) = log₂(x - 1) +2.
HELP PLS THIS IS DUE AT THE END OF CLASS
Which figure correctly demonstrates using a straight line to determine that the graphed equation is not a function of x?
The figure that correctly demonstrates that f is not a function of x is graph (c)
How to determine the figure?The missing figure that represent the list of options is added as an attachment
To demonstrate a function using a straight line is referred to as a vertical line test.
The vertical line test is such that a vertical line is drawn from the x-axis in an upward and/or downward direction.
If the line touches the curve or line of the function more than once, then the graphed equation is not a function of x
The graph that carries out this scenario is graph (c)
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Ava wants to paint two walls in her room blue. both walls are 9-feet tall and 12-feet long. one wall has a 3-foot by 2-foot window and the other wall has a 3-foot by 7-foot door. what is the combined area of the two walls ava wants to paint? 189 feet squared 210 feet squared 216 feet squared 243 feet squared
The combined area of the rectangular wall that Ava wants to paint is: A. 189 ft².
What is the Area of a Rectangle?Area = (length)(width).
The combined area of the two walls to be painted = Area of the two walls - area of the door and the window.
Area of both walls = 2(9)(12) = 216 ft²
Area of the window and the door = (3)(2) + (3)(7) = 27 ft².
The combined area of the two walls to be painted = 216 - 27 = 189 ft².
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Round each mixed number to the nearest whole number. Then, estimate the sum.
14 11/12 + 3 1/6
Step-by-step explanation:
please mark me as brainlest
What is tha x-coordinate of the point shown in the graph point A?
Answer:
The x-coordinate of point A is -5
Question 2 of 6
Select the correct answer.
What is the value of the expression when a = -2, b = 3, and c = -6?
A. -1/3
B. 1/3
C. -1
D. 1
Answer:
it's -1
Step-by-step explanation:
[tex]\frac{(-2)(-3)+2(-6)}{-(3)(-6)}\\ \\\frac{-6 + (-12)}{18}\\ \\\frac{-18}{18}=-1[/tex]
Answer:
it's -1
Step-by-step explanation:
Question 8 of 25
If f(x) = 2x − 6 and g(x) = 3x + 9, find (ƒ— g)(x).
Answer:
5x+3
Step-by-step explanation:
(f+g)(x) = f(x)+g(x)
= 2x−6 + (3x+9)
= 5x+3
4th grade maths
I need help on questions 8 ,9,10 please
Answer:
8. 47
9. 158
10. 48
Step-by-step explanation:
Answer: 51 ÷ 3 = 17, 72 ÷ 4 = 18, 78 ÷ 6 = 13, 91 ÷ 7 = 13, 132 ÷ 6 = 22, 216 ÷ 8 = 27, 228 ÷ 6 = 38, 423 ÷ 9 = 47, 1422 ÷ 9 = 158, 576 ÷ 12 = 48
Step-by-step explanation: I just used a calculator. Couldn't be bothered to use the table.
There are three people in Lee's family.
The range of their shoe sizes is 3.
Two people in the family wear shoe size 6.
Lee's shoe size is not 6 and it is not 3.
What is Lee's shoe size?
Lee's shoe size would be a 9
9 6 6
Range = biggest value - smallest value
9-6 = 3
Could someone solve this problem?
Answer:
d = 24 degrees
Step-by-step explanation:
The angle below 98 and the 98 form a 180 degree angle ( straight line)
so THAT angle = 82 degrees
then 82 degrees + 2d + 2d +2 = 180
( the sum of the interior angles of a triangle add to 180)
82 + 4 d + 2 = 180
84 + 4d = 180
96 = 4d d = 24 degrees
Answer:
D = 24
Step-by-step explanation:
Basically, you just have to find the degrees of the top angle for the triangle, which is 82. Then you subtract 82 by 180 to get 98. That's the sum of the two unknown angles. Then you can create the equation 2d + 2d + 2 = 98. Which is 4d + 2 = 98. Subtract 2 from both sides. 4d = 96. Divide 96 by 4. There you have it, d = 24
Do I have to simplify the expression 5+5+5
Answer:
I don't think so
Step-by-step explanation:
I guess you should just put 5 x 3
