Answers
1. intersection is all the numbers both sets have in common
so 3, ,7 , 13
2. union is all the numbers from both sets so 1, 5, 8, 12, 17
Related Questions
Suppose you go shopping for a new futon bed for your apartment/home. The model you really like happens to be on sale for $1100. It's original price is $1200. What percent of the original price will you save if you purchase it? Write your answer to the nearest tenth of a percent, but in decimal form. For example, if you saved 34.67%, you would round to 34.7% and enter .347 as your answer.
Answers
Answer:
8.3% or 0.083
Step-by-step explanation:
In the question we are given that:
The original price of bed = 1200$
The price of the bed after the discount = 1100$
Money saved = The original price of bed - The price of the bed after the discount = 1200$ - 1100$ = 100$
Percentage of original price = [tex]\frac{\text{Money saved}}{\text{Original price}}\times 100[/tex] = [tex]\frac{100}{1200}\times 100[/tex] = 8.3333..%
If we want to write the answer in the form of nearest tenths, then our percentage becomes 8.3%.
The decimal expansion can be written as 0.083.
Describe in words the translation represented by the translation rule (x, y) The image is a right pointing arrow. (x – 7, y – 7)
A. 7 units to the left and 7 units down
B. 7 units to the left and 7 units up
C. 7 units to the right and 7 units up
D. 7 units to the right and 7 units down
Answers
Answer:
The correct option is A.
Step-by-step explanation:
The given rule of translation is
[tex](x,y) \rightarrow (x-7,y-7)[/tex] ..... (1)
The rule of translation is defined as
[tex](x,y) \rightarrow (x+a,y+b)[/tex] ......(2)
Where, a is horizontal translation and b is vertical translation.
If a>0, then graph shifts a units right and if a<0, then graph shifts a units left.
If b>0, then graph shifts b units up and if b<0, then graph shifts b units down.
From equation (1) and (2) we get
[tex]a=-7,b=-7[/tex]
Since a=-7<0 and b=-7<0, therefore graph translated 7 units to the left and 7 units down.
Therefore the correct option is A.
What is the exact value of
Tan 17pi/12
Answers
What is the area of a rectangle with vertices at (−4, 0) , (−3, 1) , (0, −2) , and (−1, −3) ?
Do not round any side lengths.
I got 5.96 but I think I'm wrong
Answers
To find the approximate resistance of a given copper conductor, drop the ? digit from the circular mil area. the result is the number of ? per ohm.
Answers
How many solutions can be found for the set of linear equations? 7(x + 2) and 7x + 14
a.no solution
b.one solution
c.two solutions
d.infinite many solutions?
Answers
there will be infinite solutions because these 2 equations are the same line
Answer:
infinite
Step-by-step explanation:
same line
If 3x+5y=13 and 6x+7y=20 what is the value of y/x?
Answers
6x + 7y = 20
----------------
-6x - 10y = -26 (result of multiplying by -2)
6x + 7y = 20
---------------add
-3y = -6
y = -6/-3
y = 2
3x + 5y = 13
3x + 5(2) = 13
3x + 10 = 13
3x = 13 - 10
3x = 3
x = 3/3
x = 1
so if x = 1 and y = 2.....then y/x = 2/1 = 2 <==
The value of the variables 'x' and 'y' will be 1 and 2, respectively. Then the value of the expression y / x will be 2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The system of equations is given below.
3x + 5y = 13 ...1
6x + 7y = 20 ...2
Multiply the equation 1 by -2, then we have
6x + 7y = 20 ...2
- 6x - 10y = - 26 ...3
Add both equations, then we have
- 3y = - 6
y = 2
Then the value of the variable 'x' will be given as,
3x + 5(2) = 13
3x = 3
x = 1
The value of the expression y / x will be given as,
y / x = 2 / 1
y / x = 2
The value of the variables 'x' and 'y' will be 1 and 2, respectively. Then the value of the expression y / x will be 2.
More about the solution of the equation link is given below.
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Which equation is the inverse of the function f(x)=5x+2?
Answer choices:
y= 5x-2
y=2/5x+1
y=1/5x-1/2
y=1/5x-2/5
Answers
The correct answer is option D
------------------------------------------
In order to find the inverse, interchange the variables and solve for y.
[tex] f^{-1}(x) = - \frac{2}{5} + \frac{x}{5} [/tex]
Best of luck with your studies!
Regular exercise is positively related to wellness.
Answers
What is the simplest form of the expression sqrt 6x^8y^9/sqrt 5x^2y^4?
Answers
Sasha Story's salary for a four week period in July was $5,824. What was her weekly salary?
Answers
What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
Answers
we know that
if two lines are perpendicular, then the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
Step 1
Find the slope of the given line
we have
[tex]3y=-4x+2[/tex]
Solve for y
Divide by [tex]3[/tex] both sides
[tex]3y/3=(-4x+2)/3[/tex]
[tex]y=-\frac{4}{3}x+ \frac{2}{3}[/tex]
the slope of the given line is [tex]m1=-\frac{4}{3}[/tex]
Step 2
Find the slope of a line that is perpendicular to the given line
we have
[tex]m1=-\frac{4}{3}[/tex]
[tex]m1*m2=-1[/tex]
[tex]m2=-1/m1[/tex]
substitute the value of m1
[tex]m2=-1/(-4/3)=\frac{3}{4}[/tex]
therefore
the answer is
the slope is [tex]\frac{3}{4}[/tex]
The slope of a line that is perpendicular to a line of the given equation is [tex]\frac{3}{4}[/tex]
Given the following equation;
[tex]3y =-4x +2[/tex]To find the slope of a line that is perpendicular to a line of the given equation:
In Mathematics, the slopes of two lines are said to be perpendicular when the product of these slopes is equal to negative one (-1).
Mathematically, this is given by:
[tex]m_1 \times m_2 = -1[/tex] ...equation 1.
First of all, we would determine the slope of the given equation:
[tex]3y =-4x +2\\\\y = \frac{-4x}{3} + \frac{2}{3}[/tex]
Slope, [tex]m_1[/tex] = [tex]\frac{-4}{3}[/tex]
Substituting slope 1 into eqn 1, we have:
[tex]\frac{-4}{3} \times m_2 = -1\\\\-4m_2 = -3\\\\m_2 = \frac{3}{4}[/tex]
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The scale drawing of a flower bed has the dimensions of 3 inches by 7 inches. The dimensions of the actual flower bed are 36 inches by 84 inches.
What is the scale factor used to find the dimensions of the drawing?
Answers
The scale factor used to find the dimensions of the scale drawing is 1/12. This is found by dividing the dimensions of the drawing by the dimensions of the actual flower bed, confirming both scale factors for length and width are equal.
Explanation:The student is asking about determining the scale factor used to create a scale drawing from the actual dimensions of an object, which in this case is a flower bed. To find the scale factor, we compare the dimensions of the drawing with those of the actual object. For the given dimensions of the drawing, which are 3 inches by 7 inches, and the actual dimensions being 36 inches by 84 inches, we can find the scale factors for the length and width separately and confirm they are the same.
For the length, the scale factor is calculated as:
Scale factor for length = Length of drawing / Length of actual object
Scale factor for length = 3 inches / 36 inches = 1/12
For the width, the scale factor is calculated as:
Scale factor for width = Width of drawing / Width of actual object
Scale factor for width = 7 inches / 84 inches = 1/12
Thus, the scale factor for the scale drawing is 1/12. This means that each unit of measurement in the drawing represents 12 units in the actual flower bed.
A displacement vector with a magnitude of 20. meters could have perpendicular components with magnitudes of
Answers
R² = x² + y²,
where
x and y are the perpendicular vectors along x and y axes, respectively.
So, any pair of x and y must satisfy the given equation. There are a lot os possibilities. Let's say, if x = 12, then,
20² = 12² + y²
y = 16
One answer would be a horizontal x vector equal to 12 m, and a vertical y vector equal to 16 m.
To find the perpendicular components of a displacement vector with a magnitude of 20 meters, use trigonometry and the Pythagorean theorem.
Explanation:The question asks for the perpendicular components of a displacement vector with a magnitude of 20 meters. Perpendicular components of a vector can be determined using trigonometry. Let's assume the vector has components Ax and Ay.
Using the Pythagorean theorem, Ax^2 + Ay^2 = 20^2. Since the components are perpendicular, we can set up a right triangle and solve for the components using the sine and cosine functions. For example, if one component is Ax = 10 meters, the other component Ay can be calculated using Ay = sqrt(20^2 - 10^2) = 10*sqrt(3) meters. Similarly, if one component is Ay = 10 meters, the other component Ax can be calculated using Ax = sqrt(20^2 - 10^2) = 10*sqrt(3) meters.
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Simplify aaa^3bxa^2b^3abx^4
Answers
=aaa^3a^2abb^3bxx^4
=a^(1+1+3+2+1)b^(1+3+1)x^(1+4)
=a^8^b^5x^5
Help me with this please
Answers
(measure of angle AEC) = (measure of angle DEB)
6x + 20 = 10x
6x + 20-6x = 10x-6x ... subtract 6x from both sides
20 = 4x
4x = 20
4x/4 = 20/4 ... divide both sides by 4
x = 5
The value of x is 5.
Let's check the answer
6x + 20 = 10x
6*5 + 20 = 10*5 ... replace every x with 5
30+20 = 50
50 = 50
We have confirmed the answer.
Solve: 3x - 2x + 4 = 5x - 4x - 8 A) 3 B) 6 C) -3 Eliminate D) no solution
Answers
Does this figure have rotational symmetry?
A) No, a square cannot be rotated.
B) Yes, the figure can be rotated 90°.
C) Yes, the figure can be rotated 180°.
D) No, no matter how it is rotated it will look different.
Answers
Answer: C) Yes, the figure can be rotated 180°.
Step-by-step explanation:
We said a shape has rotational symmetry if it moves onto itself under rotation about a point at its center . The order of rotational symmetry is the number of times the shape moves onto itself during a rotation of 360° about a center point.Here,the given figure is a rectangle, and we know that a rectangle has order of rotational symmetry of 2.
The 180° and 360° rotations will map it onto itself.
So, from the given options, the right answer is C) Yes, the figure can be rotated 180°.
Joe bought a length of timber for his fence. He uses 1/5 of the wood for the first garden and 3/8 for the second garden. What fraction of the wood remains for the third garden
Answers
17/40 of the wood remains for the third garden.
HOPE THIS HELPS!!!
Joe used 1/5 of the timber for the first garden and 3/8 for the second garden. After converting these fractions to have a common denominator, we found that 23/40 of the timber was used. Therefore, 17/40 of the timber remains for the third garden.
The student is asking how much of the timber remains after Joe has used some for two gardens. Joe uses 1/5 of the wood for the first garden and 3/8 for the second garden. To solve this, we first add the fractions of wood used for both gardens to find out the total used fraction:
1/5 + 3/8
To add these fractions, we first need to find a common denominator, which in this case is 40. So we convert the fractions:
8/40 + 15/40} = 23/440
Now we subtract the used fraction from the total amount of timber, which is 1:
1 - 23/40 = 40 / 40 - 23 / 40= 17 / 40
Thus, 17/40 of the wood remains for the third garden.
Which is the least expensive per oz? 12 oz for $5.28 or 18 oz for $7.96. round to the nearest cent?
Answers
7.96 / 18 = 0.4422 rounds to 0.44 per oz
technically, by rounding to the nearest cent, they are the same cost.
We see that both of them cost equal.
( As they are approximately of the same cost in cents)
Step-by-step explanation:1)
12 oz for $ 5.28
This means that the rate of 1 oz is:
$ 5.28/12= $ 0.44
Also we know that 1 dollar= 100 cents.
This means that: $ 0.44= 44 cents.
Hence, cost of 1 oz is: 44 cents.
2)
18 oz for $ 7.96
This means that the rate of 1 oz is:
$ 7.96/18= $ 0.4422 cents
Also we know that 1 dollar= 100 cents.
This means that: $ 0.4422= 44.22 cents.
Hence, cost of 1 oz is: 44 cents.
Both are of same cost.
Two angles are supplementary and one of the angles is five times the smaller angle, what is the measure of the larger angle
Answers
y the smaller angle
x + y = 18 supplementary
x = 5y
we replace quation 2 in equation 1 so
5 y +y =180
6y = 180
y= 30
and x= 5y = 5*30 = 150
If ΔGET≅ΔMAP, then what corresponding parts are congruent?
Answers
G and M
E and A
T and P
Hope this helps!
Answer: ∠G≅M
∠E≅∠A
∠T≅∠P
segment GE≅ segment MA
segment ET≅ segment AP
segment GT≅ segment MP
Step-by-step explanation:
We know that if two triangles are congruent then their corresponding angles and sides are congruent by CPCTC.
[ CPCTC=Congruent Parts of Congruent Triangles ]
Given: ΔGET≅ΔMAP
Then by CPCTC
∠G≅M
∠E≅∠A
∠T≅∠P
segment GE≅ segment MA
segment ET≅ segment AP
segment GT≅ segment MP
Hence, if ΔGET≅ΔMAP, then corresponding parts are congruent are :-
∠G≅M
∠E≅∠A
∠T≅∠P
segment GE≅ segment MA
segment ET≅ segment AP
segment GT≅ segment MP
It is given that a+b=6 and ab=7. Find the value of a^2 + b^2.
Answers
a^2 + b^2 = (a + b)^2 - 2ab
Plugging in the given values;-
a^2 + b^2 = 6^2 - 2*7 = 36-14 = 22 Answer
BRAINLIESTTTTTTTTT! Urgent help needed! Please find the measure of angle B!
Answers
--------------------------------------------------------------
--------------------------------------------------------------
Work Shown:
We have the three angles:
angle A = (3x+2) degrees
angle B = (2x+7) degrees
angle C = 41 degrees
Rule: for any triangle, the three angles add up to 180 degrees
(angle A) + (angle B) + (angle C) = 180
(3x+2) + (2x+7) + (41) = 180
3x+2 + 2x+7 + 41 = 180
(3x+2x)+(2+7+41) = 180
(5x)+(50) = 180
5x+50 = 180
5x+50-50 = 180-50
5x = 130
5x/5 = 130/5
x = 26
Now use this x value to find the measure of angle B
angle B = (2x+7) degrees
angle B = (2*x+7) degrees
angle B = (2*26+7) degrees
angle B = (52+7) degrees
angle B = 59 degrees
Side Note: Angle A is 80 degrees (3x+2 = 3*26+2 = 78+2 = 80)
Another thing to note: A+B+C = 80+59+41 = 180
PLZZZZZZ HEEEEELLLLLLPPPPPPPP!!!!!!!!!!
Given the system of equations, what is the solution?
3x - 2y + 10 = 0
5y = 4x + 8
A.){(-34/7, 16/7)}
B.){(34/7, -16/7)}
C.){(-34/7, -16/7)}
Answers
Answer:
The answer is C.
Step-by-step explanation:
I just did it and is was marked right.
Find the equation of the line that satisfies the given conditions the y intercept is 3 and the x intercept is -1
Answers
so you two points are: (0, 3) and (-1, 0)
the slope is: m=(0-3)/(-1-0)=3, you y intercept(b) is 3
y=mx+b=> y=3x+3
Caroline saves $45 in 4 months. at that rate, how long will it take her to save $180?
Answers
Caroline saves the amount of $180 in 12 months which is determined by the proportion of the given rate.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".
We have been given that Caroline saves $45 in 4 months.
To determine the time takes her to save $180
Let the number of months takes her to save $180 would be x
As per the given condition, we can write a proportion as
4 months : $45 = x months : $45
⇒ 4 / 45 = x / 180
Apply the cross-multiplication operation,
⇒ 4 × 180 = x × 45
⇒ 540 = 45x
⇒ x = 540 / 45
⇒ x =12
Therefore, Caroline saves the amount of $180 in 12 months.
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Solve for y: 4y-3=5y-8
Answers
The graph of the function B is shown below. Find B(2).Could you also explain how to do this?Thanks!
Answers
anyhow, as you can see, when x = 2, B(x) or B is -1.
for which function is 5 NOT an element of the range?
A. y=5
B. y=-2+4
C.y=x to the power of 5
D. y=-(-x)to the power of 2
Answers
y = 2 not 5