Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.
$22 AUD ×
$22 AUD ×
$1.20 AUD ×
$1.20 AUD ×
Answer:
22 AUD × (1 USD)/(1.2 AUD)
Step-by-step explanation:
1.2 AUD = 1 USD
Divide both sides by 1.2 AUD.
(1.2 AUD)/(1.2 AUD) = (1 USD)/(1.2 AUD)
(1 USD)/(1.2 AUD) = 1
The conversion factor from AUD to USD is (1 USD)/(1.2 AUD)
Answer: 22 AUD × (1 USD)/(1.2 AUD)
please help me answer this question thank you
Answer:
A
Step-by-step explanation:
Help with part B please
a) The opposite of the numbers 3, 7.5, and -2(2/3) will be 0.33, 0.133, and -0.375.
b) The sum of the given number and its opposite will be 7.928.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
The given number is as,
3, 7.5, and -2(2/3)
a)
The opposite number is obtained as 1 by dividing the given number,
⇒ 1 / 3 = 0.33
⇒ 1 / 7.5 = 0.133
⇒ 1 / -2(2/3) = -0.375
b)
The sum of the given number and its opposite is,
= 3+0.33 + 7.5 + 0.133+ (-2(2/3) ) + (-0.375)
= 7.928
Thus, the opposite of the numbers 3, 7.5, and -2(2/3) will be 0.33, 0.133, and -0.375.and the sum of the given number and its opposite will be 7.928.
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precalculus show all your work
The equation for a transformed cosine wave with the following properties is y = 3cos2x + 4
Equation of transformed cosine wave:An equation for a transformed cosine wave with the following properties can be written in the form:
y = A× cos(B(x - C)) + D
Where:
A = amplitude (positive value)
C = phase shift (horizontal shift of the wave)
D = vertical shift (shift of the wave up or down)
Here we have
Amplitude = 3
Period = π
Horizontal shift = None
Vertical shift = 4 units up
As we know Period P = 2π/B
From the data => 2π/B = π
=> B = 2
Hence,
Equation for a transformed cosine wave, y = 3 × cos(2(x - 0)) + 4
=> y = 3 × cos(2(x )) + 4
=> y = 3cos2x + 4
Therefore,
The equation for a transformed cosine wave with the following properties is y = 3cos2x + 4
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In a 2004 poll of 500 cell phone users conducted by the Yankee Group, 20% indicated that they had received commercial messages or ads on their cell phones. Is there sufficient evidence to conclude that the proportion of cell phone users who have received commercial messages or ads in 2004 was greater than the proportion of .13 reported for the previous year
Answer:44÷58+44
Step-by-step explanation:
What is the solution to the system of equations below?
3x + 4y = 2
2x – 4y = 8
A. (2,-2)
B. (6,5)
C. (4,4)
D. (2, -1)
Answer:
D. (2, -1)
Step-by-step explanation:
Matilda measures the perimeter of her bedroom to determine how many feet of border she needs to go around the tops of the walls.
Two walls are each 96 inches long, and two walls are each 3 yards long. She pays $30 for border that costs $1 per foot.
What are steps that you should take to determine if Matilda bought the correct amount of border? Select all that apply.
The steps that Matilda should take to determine if she bought the correct amount of border are:
Convert yard to feetCalculate the number of feet of border she boughtCompare the number of feet of border Maltida bought to the the perimeter of the room. Did Maltida buy the correct amount of border?The first step is to convert inches to feet
1 inch = 1/12 feet
96 / 12 = 8 feet
The second step is to convert yards to feet
1 yard = 3 feet
3 x 3 = 9 feet
Now, determine the perimeter of the room: 9 + 9 + 8 + 8 = 34 inches
The fourth step is to determine the feet of border bought: $30 / $1 = 30
34 > 30 thus the border is not enough
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3. If ZCAB measures108°, what is themeasure of ZCAD ?CADB
GIVEN:
We are given a parallelogram labeled ABCD with angle CAB meauring 108 degrees as indicated.
Required:
Find the measure of angle CAD
Step by step solution;
First, we need to take note of some of the properties of a parallelogram.
"Opposite angles are equal."
"Diagonals bisect each other."
"Diagonals form two congruent triangles."
With these in mind, we observe that the diagonal AD bisects diagonla CB into two halves.
Take note also of the angle bisector theorem, which states;
"If a ray bisects an angle of a triangle, then it divides the opposite side of the triangle into segments that are proportional to the other two sides."
In other words, the diagonal AD bisects the line CB into side lengths proportional to the divided angle CAB. Line CB has been divided into two halves, which simply means that the diagonal AD has effectively divided angle CAB into two halves namely;
\(\angle CAD\text{ }and\text{ }\angle BAD\)Therefore;
\(\begin{gathered} \angle CAD=\angle BAD=\frac{\angle CAB}{2} \\ \\ \angle CAD=\angle BAD=\frac{108}{2} \\ \\ \angle CAD=\angle BAD=54\degree \end{gathered}\)ANSWER:
\(\angle CAD=54\degree\)Oliver is working with square tiles that are 3/4 inch on each side. What is the area of each tile?
Answer:
the area should be 3/4
Step-by-step explanation:
A triangle flower bed has a perimeter of 15cm the drawing has a scale of 1:200. What is the perimeter of the actual flower bed
Answer:
300cm
Step-by-step explanation:
scale 1:200 means 1cm on drawing represent 200cm on ground so 15cm will be 15×200 which is 3000cm
Enter the equation of the line in the form y=mx+b where m is the slope and b is the y-intercept.
y=1.5x-2
Hope this helps
adding and subtracting polynomials
Subtract 2x² + 6x - 5 from 7x² + 3x + 4
Answer: 5x^2 - 3x + 9
Step-by-step explanation:
Answer:
5x^2 - 3x + 9
Step-by-step explanation:
5/6 = 15/X
Find what X is
Find x value
\( {x}^{3} + {x}^{2} + 8x + 12 = 0\)
??
Changes made to your input should not affect the solution:
Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).
x3+x2-8x-12 is not a perfect cube
Factoring: x3+x2-8x-12
Thoughtfully split the expression at hand into groups, each group having two terms :
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)Group 2: (2x+3) • (-4)
Please help me in confused
Answer:
20\(c^{6}\)
Step-by-step explanation:
using the rule of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
given
(- 4c³)(- 5c³) ← remove parenthesis
= - 4 × c³ × - 5 × c³
= - 4 × - 5 × c³ × c³
= 20 × \(c^{(3+3)}\)
= 20\(c^{6}\)
Which of these strategies would eliminate a variable in the system of equations?
(2z + 8y = -3
3x + 6y = -4
Choose all answers that apply:
Multiply the top equation by 3, multiply the bottom equation by -2, then add the
equations.
Multiply the top equation by -4, multiply the bottom equation by 3, then add the
equations.
Multiply the top equation by 3, multiply the bottom equation by 4, then subtract the
bottom equation from the top equation.
Answer:
A.)
Step-by-step explanation:
The strategy that would eliminate a variable would be A.) Multiply the top equation by 3, multiply the bottom equation by -2, then add the equations.
Because when you multiply 3 by 2 you get 6x. Then you multiply -2 by 3 getting -6x. When you add -6x and 6x you get 0, meaning that the variable x would be eliminated.
Write the function for the parabola shown with its directrix in the graph.
The function for the parabola on the graph that has a vertex at (3, -1), and a directrix of y = -2.25 is; f(x) = 0.2·(x - 3)² - 1
What is the directrix in the graph of a parabola?The directrix is the line together with the focus from which the points on the parabola are equidistant.
The points on the graph of the parabola are;
Vertex = (3, -1)
The directrix is; y = -2.25
The vertex form of the equation of a parabola is presented as follows;
y = a·(x - h)² + k
Where;
(h, k) = The coordinate of the vertex = (3, -1)
The directrix equation is; y = k - p
a = 1/(4·p)
Therefore;
-1 - p = -2.25
p = 2.25 - 1 = 1.25
p = 1.25
The function for the parabola is therefore;
y = (1/(4·p))·(x - h)² + k
f(x) = (1/(4×1.25)) × (x - 3)² + (-1) = (1/5)·(x - 3)² - 1
(1/5)·(x - 3)² - 1 = 0.2·(x - 3)² - 1
The f(x) = 0.2·(x - 3)² - 1
The function for the parabola is; f(x) = 0.2·(x - 3)² + (-1)Learn more on the graph of a parabola here: https://brainly.com/question/29592664
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For f(x) = 2 - x and g(x)= 3x +x+5, find the following functions.
a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2)
a. (fog)(x)=-3x²-x-3
(Simplify your answer.)
b. (gof)(x) = 3x² - 13x+19
(Simplify your answer.)
c. (fog)(2)= -17
d. (gof)(2)= ?
The answers are below.
a) (fog)(x) = f(g(x)) = 2 - ( 3x² +x+5) = -3x² - x - 3
b) (gof)(x) = g(f(x)) = 3*(2 - x)² + (2 - x) +5 = 3x² - 13x + 19
a) (fog)(2) = -3x² - x - 3 = -3*4 - 2 - 3 = -12 - 2 - 3 = -17
b) (gof)(2) = 3x² - 13x + 19 = 3*4 - 13*2 + 19 = 12 - 26 + 19 = 5
How to find the following functions?Just replace evaluate the function g(x)= 3x² +x+5 insode of the function f(x) = 2 - xfor the first one.
a) (fog)(x) = f(g(x)) = 2 - ( 3x² +x+5) = -3x² - x - 3
b) (gof)(x) = g(f(x)) = 3*(2 - x)² + (2 - x) +5 = 3x² - 13x + 19
ok, now that you have these two values, just evaluate the equations in x = 2 to get the rest.
a) (fog)(2) = -3x² - x - 3 = -3*4 - 2 - 3 = -12 - 2 - 3 = -17
b) (gof)(2) = 3x² - 13x + 19 = 3*4 - 13*2 + 19 = 12 - 26 + 19 = 5
These are the outcomes when we evaluate the compositions in x = 2.
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Parametric point from A (2,1,0) to B(-2,0,1)
The parametric equations are mathematically given as
(x(t), y(t), z(t))= (2-4t, 1-t, t)
What is a Parametric point?Generally, To express the parametric point from A (2,1,0) to B(-2,0,1) in parametric form, we can use the following equation:
P(t) = (2-4t, 1-t, t)
To find the parametric equations for a point moving from A to B, we can use the following formula:
x = x₁ + t(x₂ - x1)
y = y₁ + t(y₂ - y₁)
z = z₁ + t(z₂ - z₁)
Where (x₁, y₁, z₁) is the starting point (A), (x₂, y₂, z₂) is the ending point (B), and t is a parameter that varies from 0 to 1.
Using this formula, the parametric equations for a point moving from A (2,1,0) to B(-2,0,1) are:
x = 2 + t(-2 - 2)
= 2 - 4t
y = 1 + t(0 - 1)
= 1 - t
z = 0 + t(1 - 0)
= t
These equations describe the motion of a point that starts at A, moves along the line segment from A to B, and arrives at B when t = 1.
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The complete Question was found
Find parametric equations for the line. (Use the parameter t.)
The line through points A (2,1,0) to B(-2,0,1)
(x(t), y(t), z(t))= \((\square)\)
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. •
• 1/5of the caramel apples are covered with peanuts.
• 1/3are covered with chocolate chips
• 3/10 are covered with coconut.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
A 100
B 33
C 25
D 20
Step-by-step explanation: D. 20
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?
A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.
Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.
Answer:
A,E
Step-by-step explanation:
Operation: Minus
To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.
6.8 km - 2.3 km = 4.5 km
Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.
Answer:
a and e
Step-by-step explanation:
got it right on homework
The volume of a rectangular prism is 864 ft3. If the length of the prism is 27 ft, and the height is 8 ft, find the width of the prism. Use the formula V = lwh
Answer:
width = 4
Step-by-step explanation:
864 = 27 x 8 x w
w = 4
Please help me on my hw I need help on #3
The expression to be simplified is,
\(\frac{6}{6+12x}\)It can be written as:
\(\frac{6}{6+12x}=\frac{6}{6+6\times2x}\)Take the common factors outside from the right hand side of the above equation.
\(\frac{6}{6+12x}=\frac{6}{6(1+2x)}\)Cancel out the common factor 6 in the numerator and denominator of the fraction at the right hand side of the above equation.
\(\frac{6}{6+12x}=\frac{1}{(1+2x)}\)Therefore, the correct expression is,
\(\frac{6}{6+12x}=\frac{1}{(1+2x)}\)In kite WXYZ, m⦨ZWY = 43◦ and
m⦨ZYW = 19◦.
What is the m⦨WXZ?
m⦨WXZ = 47◦
m⦨WXZ = 73◦
m⦨WXZ = 19◦
\(56 \times {10}^{3} \)
What is the answer
Help me please. Need answer ASAP!!! Thank you
Two numbers, x and y, are related as described in this statement: x to the power of 3 is equal to y to the power of 5. Which equation is equivalent to the statement? x ^ 3 = y; x = y ^ (3/5); x ^ 5 = y B x ^ 5 = y ^ 3
The mathematical sentence can be written as:
x^3 = y^5
How to write the expression?
A number a to the power of n is written as:
a^n
Then:
"x to the power of 3 is equal to y to the power of 5"
Would be written as:
x^3 = y^5
Particularly, this does not appear in the given options, but this is the correct and simplest way of writing the given mathematical sentence.
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please help!!! asap
Answer: y = x^2 + 6x+ 9 = 0. (X+3)^2= 0 when x=3. This has one root.
X^2-2x -24 = 0 a= 1 b=-1 and c= -24 x = {-(-1) +/- sqrt((-1)^2 -4 x 1 x (-24)}/2
X = [1 +/- sqrt(97)]/2
Step-by-step explanation:
A sandwich shop offers 3 different kinds of bread, 4 different kinds of meat, and 6 different toppings. How many different sandwiches with one bread, one meat, and one topping are possible?
Answer:
yeah
Step-by-step explanation:
0
Your second impression was "right"; the answer is 36 in one restricted interpretation of the problem, in which a sandwich has precisely one type of bread, one type of meat, and one type of cheese.
The largest possible interpretation is that a sandwich consists of a top bread, 1 to 3 types of meat, 1 to 3 types of cheese, and a bottom bread which could be different from the top slice of bread (but two sandwiches are considered the same if the only difference is turning one upside down). The answer to that problem involves, for example, seven possible combination of meats, and is
(42)bread⋅(23−1)meat⋅(23−1)cheese=6⋅7⋅7=594
If you must use the same type of bread top and bottom the answer is
(41)bread⋅(23−1)meat⋅(23−1)cheese=4⋅7⋅7=396
Whoever gets this right i will put them as brainliest?
Answer:
Is it c?
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
-2 - 6 equals -8.
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