Answer:
C
Step-by-step explanation:
because when you reflect it the figure A on the y-axis, it looks the same as A*, and when you move it 5 units down both figures are at the same place, showing that the shapes are congruent.
For f(x) = 2 – 3x2, evaluate f(0.6).
Answer:
f(0.6) = 0.92
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 2 - 3x²
f(0.6) is x = 0.6
Step 2: Evaluate
Substitute in x: f(0.6) = 2 - 3(0.6)²Exponents: f(0.6) = 2 - 3(0.36)Multiply: f(0.6) = 2 - 1.08Subtract: f(0.6) = 0.92what is 75percent of 200
Answer:
150
Step-by-step explanation:
Let f(x,y,z)=(x^2)(y^3)+(z^3) and x=(s^2)*(t^3),y=s*t , and z=(s^2)*t .∂x/∂s=?
The value of ∂x/∂s is 4s^2 * t^6.
To find ∂x/∂s, we need to differentiate x with respect to s while treating t as a constant. Let's begin by substituting the given expressions for x, y, and z into the function f(x, y, z):
f(x, y, z) = (x^2)(y^3) + z^3
Substituting x, y, and z:
f(s, t) = ((s^2)(t^3))^2 * (s*t)^3 + ((s^2)*t)^3
Expanding the expression:
f(s, t) = (s^4 * t^6) * (s^3 * t^3) + (s^6 * t^3)
Now, let's differentiate x with respect to s:
∂x/∂s = ∂/∂s [(s^2)(t^3)]^2
Using the chain rule, we can differentiate each term separately:
∂x/∂s = 2 * (s^2 * t^3)^1 * ∂/∂s [(s^2)(t^3)]
Differentiating (s^2)(t^3) with respect to s:
∂/∂s [(s^2)(t^3)] = 2s * t^3
Substituting back into the expression for ∂x/∂s:
∂x/∂s = 2 * (s^2 * t^3)^1 * 2s * t^3
Simplifying:
∂x/∂s = 4s^2 * t^6
Therefore, ∂x/∂s = 4s^2 * t^6.
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Joyce works at Fortunato's Furniture. She is paid on commission. She receives 10% of her first $1,200 in sales and 15% of the balance of her sales. Last week she earned $950. What was the value of the furniture she sold? show your work.
The total value of the furniture sold by Joyce last week is A = $ 6,733.33
Given data ,
Let's call the value of the furniture Joyce sold "x".
She receives 10% commission on the first $1,200 of sales, which is $120:
Commission on first $1,200 = 0.1 * 1200 = 120
The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:
Remaining sales = x - 1200
She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:
Commission on remaining sales = 0.15 * (x - 1200)
Her total earnings from commission last week was $950. So we can write an equation:
Commission on first $1,200 + Commission on remaining sales = $950
Substituting the expressions we found for the two commissions, we get:
120 + 0.15(x - 1200) = 950
120 + 0.15x - 180 = 950
On simplifying the equation , we get
0.15x - 60 = 950
0.15x = 1010
x = 6,733.33
Hence , the value of the furniture Joyce sold last week was $6,733.33
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Which box of crackers is a better deal?
190 grams - $1.49
850 grams - $6.99
Explain your thinking.
Answer:
Since each cracker in the 190 gram box costs $ 0.0078 while the 850 gram box costs $ 0.0082 each, the 190 gram box is a better deal.
Step-by-step explanation:
Knowing that a 190-gram box of crackers costs $ 1.49 and an 850-gram box costs $ 6.99, to determine which of them is a better deal, the following calculation must be performed:
1.49 / 190 = 0.0078
6.99 / 850 = 0.0082
Therefore, since each cracker in the 190 gram box costs $ 0.0078 while the 850 gram box costs $ 0.0082 each, the 190 gram box is a better deal.
HELP IM TIMES FOR 20 MINUTES! IVE BEEN ON THIS FOR THE LONGEST!
Answer:
Point d
Step-by-step explanation:
because the x is -2 and the y is 3 so you look for the x and then the y
Pls explain the answer.
Answer:
C
Step-by-step explanation:
WX is proportional to VX and WV is proportional to VY
food concession owner in a mall sold 120 beef, vegetable and pork sliders in 7 days. 20% of the sliders sold were beef and 15% were vegetable. How many pork sliders were sold?
The number of pork sliders sold is given as follows:
24 pork sliders.
How to obtain the number of pork sliders sold?The number of pork sliders sold is obtained applying the proportions in the context of the problem.
The total number of pork sliders is given as follows:
120 pork sliders.
The percentage of pork sliders sold is given as follows:
20%. (proportion of 0.2).
Hence the amount sold is given as follows:
0.2 x 120 = 24 pork sliders.
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A firm makes two products X and Y, and has a total production capacity of 9 tones per day, X and Y requiring the same production capacity. The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company. Each tone of X requires 20 machine hours of production time and each tone of Y requires 50 machine hours of production time. The daily maximum possible number of machine hour is 360. All the firm’s output can be sold, and the profit made is birr 80 per tone of X and birr 20 per tone of Y. it is required to determine the production schedule for maximum profit.
The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960
How to solve Linear Programming problems?We are told that two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity
The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.
Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;
x + y ≤ 9
x ≥ 2
y ≥ 3
Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;
20x + 50y ≤ 360
Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;
Z = 80x + 120y maximize
The solution from the graph attached is;
x = 3, y = 6
Thus, the maximum profit is;
Z = 80(3) + 120(6)
Z = 960
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Find the exterior of a rectangle in a polygon
The measure of each exterior angles of rectangle is 90°
Finding the exterior of a rectangle in a polygonFrom the question, we have the following parameters that can be used in our computation:
A rectangle
A rectangle is a polygon with 4 sides
So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon
The exterior angles in a polygon are found by using:
Exterior of a rectangle in a polygon = 360°/Number of sides of the polygon
In this case,
The number of sides of the rectangle = 4
So, we have
Exterior of a rectangle = 360°/4
Evaluate
Exterior of a rectangle = 90°
Hence, the value of the measure of each exterior angles of rectangle is 90°
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Complete question
Find the measure of each exterior angles of rectangle?
Step by step
how do I find the absolute value of |2y-9|=1
Answer:
y=4,5
Step-by-step explanation:
Anything inside an absolute value will become postive.
So, 2y-9 can be -1 because the absolute value of -1 is 1.
Knowing this,
2y-9 = 1
or
2y-9 = -1
2y-9=1
2y=10
y=5
and
2y-9=-1
2y=8
y=4
y=4,5
help me solve it 50 points step by step explanation
Answer:
The perimeter is 52 cm
Step-by-step explanation:
Just add all the sides together.
15 + 3 + 5 + 11 + 8 + 10
To find the missing sides, just subtract 15 - 5
To find the other missing side, just subtract 11 - 3
Answer:
Step-by-step explanation:
The first thing you need to do is calculate the unknown lengths. Then, add to get the perimeter. This will be easier on paper so let me attach the solution. Hope this helps!
Mother plans to buy 1/2 kilogram of chicken and 2/5 kilogram of beef How many kilograms of meat does she plan to buy?
Answer:
Step-by-step explanation:
Which expression is equal to the polynomial below 2x^4+5x^3-8x-20
The expression that is equal to the given Polynomial expression is (x^3-4)(2x+5).
The polynomial expression given is 2x^4+5x^3-8x-20. We have to identify the expression that is equal to this given polynomial expression.
We will factor the given polynomial expression to determine the equivalent expression. We can use factorization by grouping to factor the expression completely and determine the equivalent expression .
Factorization by grouping:
We can group the first two terms 2x^4 and 5x^3 together and factor out x^3 from them. We can also group the last two terms -8x and -20 together and factor out -4 from them.
This gives us;2x^4+5x^3-8x-20= x^3(2x+5)-4(2x+5) =(x^3-4)(2x+5)
Therefore, the expression that is equal to the given polynomial expression is (x^3-4)(2x+5).
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A lot of 1000 components contains 350 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective.
a. Find P(A).b. Find P(B|A) .c. Find P(A ∩ B).d. Find P(Ac ∩ B).e. Find P(B) .f. Find P(A|B).g. Are Aand B independent? Is it reasonable to treat A and B as though they were independent? Explain.
The probabilities are:
a. P(A) = 0.35
b. P(B|A) ≈ 0.349
c. P(A ∩ B) ≈ 0.122
d. P(A^c ∩ B) ≈ 0.228
e. P(B) = 0.35
f. P(A|B) = 0.349
g. A and B are independent.
Yes, it is reasonable to treat A and B as though they were independent because P(A) * P(B) = P(A ∩ B).
We have,
Given:
Total number of components (n) = 1000
Number of defective components (d) = 350
a.
P(A) is the probability that the first component drawn is defective:
P(A) = d/n = 350/1000 = 0.35
b.
P(B|A) is the probability that the second component drawn is defective given that the first component drawn is defective:
Since one defective component has already been drawn, the total number of components is now 999, and the number of defective components remaining is 349.
P(B|A) = Number of defective components remaining / Total number of components remaining = 349/999 ≈ 0.349
c.
P(A ∩ B) is the probability that both the first and second components drawn are defective:
P(A ∩ B) = P(A) * P(B|A) = 0.35 * 0.349 ≈ 0.122
d.
P(\(A^c\) ∩ B) is the probability that the first component drawn is not defective (complement of A) and the second component drawn is defective:
\(P(A^c)\) is the probability that the first component drawn is not defective:
\(P(A^c)\) = 1 - P(A) = 1 - 0.35 = 0.65
Since the first component drawn is not defective, the total number of components remaining is now 999, and the number of defective components remaining is still 350.
P(\(A^c\) ∩ B) = P(\(A^c\)) * P(B) = 0.65 * (350/999) ≈ 0.228
e.
P(B) is the probability that the second component drawn is defective:
P(B) = Number of defective components / Total number of components
= 350/1000
= 0.35
f.
P(A|B) is the probability that the first component drawn is defective given that the second component drawn is defective:
P(A|B) = P(A ∩ B) / P(B)
= (0.35 * 0.349) / 0.35
= 0.349
g.
To determine if A and B are independent, we need to compare
P(A) * P(B) with P(A ∩ B).
P(A) * P(B) = 0.35 * 0.35 = 0.1225
P(A ∩ B) = 0.122
Since P(A) * P(B) = P(A ∩ B), A and B are independent events.
It is reasonable to treat A and B as independent because the probability of A and the probability of B are not affected by each other.
The occurrence or non-occurrence of A does not impact the probability of B.
Thus,
The probabilities are:
a. P(A) = 0.35
b. P(B|A) ≈ 0.349
c. P(A ∩ B) ≈ 0.122
d. P(A^c ∩ B) ≈ 0.228
e. P(B) = 0.35
f. P(A|B) = 0.349
g. A and B are independent.
Yes, it is reasonable to treat A and B as though they were independent because P(A) * P(B) = P(A ∩ B).
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Helppp I need the ending numbers ?
The solution is, the simplification of the equation is :
4x^2 - 4 = (2x -2 ) (2x+2)
Here, we have,
given that,
the expression is:
4x^2 - 4
now, we have to simplify this.
we know that ,
The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.
It is one of the algebraic identities.
It is used to factorize the binomials of squares.
The a^2 - b^2 formula is given as:
a^2 - b^2 = (a - b) (a + b).
so, we have,
4x^2 - 4
= (2x)^2 - 2^2
= (2x -2 ) (2x+2)
Hence, The solution is, the simplification of the equation is :
4x^2 - 4 = (2x -2 ) (2x+2)
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Find domain Range Y-intercept X- intercept Vertical asymptote Horizontal asymptote Pic attached below note write domain and range in interval notation
Find domain
Range
Y-intercept
Xi intercept
Vertical asymptote
Horizontal asymptote
Pic attached below
The domain and range of the function f(x) = 3/x + 2 are (-∞, 0) ∪ (0, ∞) and (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively
What is the domain and range of a functionIn mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.
To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.
The function f(x) = 3/x + 2
The domain of the function is (-∞, 0) ∪ (0, ∞)
The range of the function is (-∞, 2) ∪ (2, ∞)
The x - intercept is (-3/2, 0)
The y - intercept does not exist
The vertical asymptotes is x = 0
The horizontal asymptotes is y = 2
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What is the answer I need help and I can’t seem to figure it out
The new dimension of the rectangular field are 45 ft by 120ft.
How to find the new dimensions of the field?If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:
lenght = K*L
width = K*W
In this case the original dimensions are:
L = 30ft
W = 80ft
And the scale factor is K = 1.5, then the new dimensions are:
L' = 1.5*30ft = 45ft
W' = 1.5*80ft = 120ft
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here is a graph that represents a quadratic function. Which equation could define this function?
Answer:
d. y = (x +2)(x -3)
Step-by-step explanation:
When p is a zero of the function (an x-intercept), the function has (x -p) as a factor.
Here, the x-intercepts are x = -2 and x = 3. This means the factors of the function are (x -(-2)) = (x +2) and (x -3).
y = (x +2)(x -3)
Answer:
\(y=(x+2)(x-3)\)
Step-by-step explanation:
Hi there!
The given answer choices are written in intercept form:
\(y=(x-r)(x-s)\) where r and s are both x-intercepts of the function
x-intercepts occur when the function crosses or touches the x-axis.
On the graph, we can see that the parabola crosses the x-axis at x=-2 and x=3. Plugging these into intercept form, we get:
\(y=(x+2)(x-3)\)
I hope this helps!
The figure shown is composed of two cubes.
Which equation shows the surface area
ne figure?
SA = 6(5-5)+6(3-3)-2(3-3)
What is the surface area of
the figure shown?
cm²
3cm
5c
186 cm³ will be the surface area of the given figure.
To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.
Thus,
Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.
So,
Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)
Total surface area = 150+54-18
Total surface area = 186
Therefore, the surface area of the given figure will be 186 cm³.
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1/3x+ 1/3y=–9/5
in standard form
helpp
How to create your own piecewise function
Answer:
That is not a question ok
Step-by-step explanation:
I need help please.Please
Answer:
Store A
Step-by-step explanation:
Store A
50/100=0.5
0.5×5=2.5
The watch will be 50-2.5=47.5
Store B
60/100=0.6
0.6×20=12
The watch will be 60-12=48
So the watch price in store A is better
Answer:
You should buy from Store A because you're paying $0.50 less than if you were to buy from Store B.
Step-by-step explanation:
First, don't subtract if it's a percentage. You will want to multiply to get the amount you're removing from the original price.
Let's look at Store A. $50 and 5% discount. 50 * 0.05 = 2.5. Remove 2.5 from 50.
50 - 2.5 = 47.5
When you buy from Store A, you will pay $47.5
Let's look at Store B. $60 and 20% discount. 60 * 0.20 = 12. Remove 12 from 60.
60 - 12 = 48
When you buy from Store B, you will pay $48
Ultimately, Store A is the best option because you're paying less.
What is the answer to 3x + 4y + 2x + 5y
Answer:
5x+9y
Step-by-step explanation:
You combine the the like terms. For example 3x+2x=5x and 4y+5y=9y
Please help me ASAP Please
Answer:
31x=217 x=7
Step-by-step explanation:
begin with what you know. You know that you will have 31 days to complete the goal and that the goal is 217 miles. This gives you your y (217) and your m (31). Then set up into y=mx+b form. This gives 31x=217. Then to solve divide 217 by 31. This gives the needed the needed answer of 7 miles per day
Write the set in set-builder notation.
{1, 3, 5, 7, 9, 11, ... , 47}
{1, 3, 5, 7, 9, 11, ... , 47}
To Write The Following in Set-builder notation
Solution\( \text{A} = \) {x : x ∈ N;x is an odd number, x ≤ 47}
Hope This Helps!!Need help with this asap!!
Answer:
≈ 53.7° (Option 3)
Step-by-step explanation:
In the figure given above , the lengths of other two sides (excluding hypotenuse) are known to us. So , it would be convenient to use 'tan'.
Length of side opposite to angle 'x' = 15 cm
Length of side adjacent to angle 'x' = 11 cm
Using 'tan' formula - \(\tan x = \frac{Side \: opposite \: to \: x}{Side \: adjacent \: to \: x}\) , lets solve this.
\(=> \tan x = \frac{15}{11}\)
Using inverse tan function , lets find x.
\(=> x = {\tan}^{-1}(\frac{15}{11} )\) ≈ 53.74°
In a genetics class, 7 students have GREEN eyes, 4 students have BLUE eyes, and 10 have HAZEL eyes. If a single student is picked at random, what is the probability that their eyes are BLUE or HAZEL?
Provide the final answer as a simplified fraction.
Answer:
1/14
Step-by-step explanation:
all together the probability would be 1/21 because we're adding all the color eyes together. After that, it narrows to only blue and hazel which is 14 so the new probability is 1/14, so the answer is 1/14.
how do I know that 15/30 is greater than 1/3 but less than2/3
Answer:
ok simple. lets start with 15/30, 15/30 is basically 1/2 because 15 is half of 30
1/3 is not to the half point of 3 the half point of 3 is 1/5. 2/3 is more than halfway of 3 as it is more than 1.5/3. Do I make sense?
Step-by-step explanation:
hope this helps!!
Identify the diameter of the follow circle. Anybody help?
Answer:
32 in
Step-by-step explanation: