![What Is The Meaning Of "[tex]\varnothing =\left \{ U:u\neq U \right \}[/tex]"?](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/Jdl03LWO6Qx81la6IkDiUAbHBVwfsQuY.png)
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Related Questions
Leah learns that 2 more children will go on the trip. How can she modify
3(a + c) and 3a + 3c to include the cost of 2 more child passes?
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By adding the cost of 2 child passes to each expression, Leah includes the cost of 2 more children going on the trip.
We have,
To include the cost of 2 more child passes in the expressions 3(a + c) and 3a + 3c,
We can simply add the cost of 2 child passes to each expression.
Let's assume the cost of each child pass is represented by the variable "p".
To modify 3(a + c), we add the cost of 2 child passes to the expression:
3(a + c) + 2p
This represents the total cost of 3 passes for children, including the original "a" and "c" passes, as well as the additional 2 passes.
To modify 3a + 3c, we also add the cost of 2 child passes:
3a + 3c + 2p
This represents the total cost of 3 passes for children, including the original "a" and "c" passes, as well as the additional 2 passes.
Thus,
By adding the cost of 2 child passes to each expression, Leah includes the cost of 2 more children going on the trip.
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k) v=u+ax make x the subject
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Answer:
x = (v - u) / a
Step-by-step explanation:
v = u + ax.
subtract u from both sides:
v - u = ax.
divide both sides by a:
(v - u) / a = x.
so x = (v - u) / a.
this can also be written v/a - u/a
what is the answer for this question
Answers
Answer:
5 cm
Step-by-step explanation:
because the equal chords are equdistant
Use the coordinates of the labeled point to find the point-slope equation of
the line.
A. y-5=-3(x+3)
B.y-3-(x+5)
C. y + 5 = 3(x+3)
D. y + 5 = -3(x-3)
(3,-5)
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By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.0 5 2 -2
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 + 5)/(0 - 3)
Slope (m) = -9/3
Slope (m) = -3
At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-5) = 3(x - 3)
y + 5 = -3(x - 3)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A bakery received an order for cupcakes. The list tells the details of the order.
The ratio of chocolate to vanilla cupcakes is 3:2.
The ratio of chocolate cupcakes to total cupcakes is 3:5.
How many vanilla cupcakes would need to be added to the table so that the two statements are true?
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hrs of work to get to work on time for the line up to me to be a little more comfortable for me
need help fast pls anyone
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Answer:
2048 in³
Step-by-step explanation:
Volume of sphere = (4/3) X π X r ³
= (4/3) (3) (8)³
= 2048 in³
40 POINTS! In ΔXYZ, ∠Y=90° and ∠X=34°. ∠ZWY=60° and XW=7.2. Find the length of ZY to the nearest 10th.
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The length of ZY, given that in ΔXYZ, ∠Y = 90°, ∠X = 34°, ∠ZWY = 60° and XW = 7.2 is 8.2
How do i determine the length of ZY?The following data were obtained from the question:
Angle Y, ∠Y = 90°Angle X, ∠X = 34°Angle ZWY, ∠ZWY = 60° Length XW = 7.2 Length ZY =?From the attached photo, we shall obtain WY. This is show below:
Angle W = 60°Opposite = aAdjacent = WY = b =?Tan θ = opposite / adjacent
Tan 60 = a / b
Cross multiply
b × Tan 60 = a
Divide both sides by Tan 60
b = a / Tan 60
b = 0.6a
Finally, we shall determine the length of ZY. Details below:
Angle X = 34°b = 0.6aXW = 7.2Adjacent = XY = 7.2 + 0.6aOpposite = Length ZY = a =?Tan θ = opposite / adjacent
Tan 34 = a / 7.2 + 0.6a
Cross multiply
Tan 34 (7.2 + 0.6a) = a
4.9 + 0.4a = a
Collect like terms
4.9 = a - 0.4a
4.9 = 0.6a
Divide both sides by 0.6
a = 4.9 / 0.6
a = 8.2
Thus, we can conclude that the length of ZY is 8.2
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Select the correct answer. Which function is continuous across its domain? A. f ( x ) = { x + 6 , - 4 ≤ x < - 2 0.5 x 2 , - 2 ≤ x < 4 20 − 3 x , 4 ≤ x ≤ 8 B. f ( x ) = { x − 2 , - 4 ≤ x < - 2 0.5 x 2 , - 2 ≤ x < 4 25 − 3 x , 4 ≤ x ≤ 8 C. f ( x ) = { x + 4 , - 4 ≤ x < - 2 0.5 x 2 , - 2 ≤ x < 4 20 − 3 x , 4 ≤ x ≤ 8 D.
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Note that the function that is continuous across its domain is C. f(x) = {x + 4, -4 ≤ x < -2; 0.5x², -2 ≤ x < 4; 20 - 3x, 4 ≤ x ≤ 8}
Why is this so?To determine which function is continuous across its domain, we need to ensure that there are no abrupt jumps, breaks, or undefined points within the given intervals.
In option C, the function is defined and continuous within each interval [-4, -2), (-2, 4), and [4, 8]. It consists of three separate pieces that are individually continuous, and there are no breaks or undefined points within each interval.
In options A and B, there are abrupt changes or discontinuities at x = 4 where the function switches to a different expression. This makes the function discontinuous at x = 4.
Therefore, option C is the correct answer as it represents a function that is continuous across its domain.
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How many solutions does the following equation have?
7
(
�
+
3
)
=
5
�
+
8
7(y+3)=5y+87, left parenthesis, y, plus, 3, right parenthesis, equals, 5, y, plus, 8
Choose 1 answer:
Choose 1 answer:
(Choice A) No solutions
A
No solutions
(Choice B) Exactly one solution
B
Exactly one solution
(Choice C) Infinitely many solutions
C
Infinitely many solutions
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The equation 7(y + 3) = 5y + 8 has exactly B, one solution, since y is a real number.
How to determine solutions?To solve the equation, start by distributing 7 to the terms inside the parentheses:
7y + 21 = 5y + 8
Next, simplify the equation by subtracting 5y from both sides:
7y - 5y + 21 = 5y - 5y + 8
2y + 21 = 8
Then, subtract 21 from both sides:
2y + 21 - 21 = 8 - 21
2y = -13
Finally, divide both sides by 2 to solve for y:
(2y)/2 = -13/2
y = -13/2
The solution to the equation is y = -13/2, which is a single solution. Therefore, the equation has exactly one solution. So the correct answer is (Choice B) Exactly one solution.
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Question in image.
3 cm
4cm
6cm
9cm
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Answer: 3
Step-by-step explanation:
These ones are tought!
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Does anyone have any ideas on how I can relate tomato’s with ratios for math?
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Answer:
maybe do a ratio of tomatoes grown to tomatoes that died/ withered in growth?
ex: ratio is for every 15 grown tomatoes, 2 die. so ratio is 15:2
hope this helps!!
HELP FOR 60 POINTS!
Function $C$ is defined on positive integers as follows:
\[C(n) = \begin{cases}
\dfrac n 2 & \text{if $n$ is even}, \\
3n+1 & \text{if $n$ is odd}.
\end{cases}\]Find all $n$ such that $C^{3}(n) = 16$.
If you find more than one, then list the values separated by commas.
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Let's start with an arbitrary positive integer n and apply the function C to it. If n is even, then C(n) = n/2. If n is odd, then C(n) = 3n + 1. Let's consider these two cases separately.
Case 1: n is even
If n is even, then C(n) = n/2. Applying the function C again, we get:
C(C(n)) = C(n/2) = (n/2)/2 = n/4
Applying the function C a third time, we get:
C(C(C(n))) = C(n/4) = (n/4)/2 = n/8
Therefore, in this case, we need to solve the equation n/8 = 16, which gives n = 128.
Case 2: n is odd
If n is odd, then C(n) = 3n + 1. Applying the function C again, we get:
C(C(n)) = C(3n + 1) = (3n + 1)/2, since 3n + 1 is even
Applying the function C a third time, we get:
C(C(C(n))) = C((3n + 1)/2) = (3n + 1)/4
Therefore, in this case, we need to solve the equation (3n + 1)/4 = 16, which gives n = 63.
So the two solutions to the equation C(C(C(n))) = 16 are n = 128 and n = 63
Find the angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of a tower of height 10√3 m.
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The angle of elevation of the top of the tower from the point on the ground is approximately 30.96 degrees.
To find the angle of elevation of the top of the tower, we can use trigonometry.
Let's denote the angle of elevation as θ.
In a right triangle, the tangent of an angle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
In this case, the side opposite the angle is the height of the tower (10√3 m), and the side adjacent to the angle is the distance from the point on the ground to the foot of the tower (30 m).
Using the tangent function, we can write:
tan(θ) = opposite/adjacent
= (10√3 m) / (30 m)
= (√3/3)
To find the angle θ, we can take the inverse tangent (arctan) of (√3/3):
θ = arctan(√3/3)
Calculating this angle using a calculator, we get:
θ ≈ 30.96 degrees
Therefore, the angle of elevation of the top of the tower from the point on the ground is approximately 30.96 degrees.
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The circumference of the cylinder below is 6 cm and the height is 8 cm. What is the curved surface area of the cylinder? If your answer is a decimal, give it to 1 d.p. circumference = 6 cm
8 cm
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The curved surface area of the cylinder is 48.06 cm².
The circumference of a cylinder is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the base.
In this case, the given circumference is 6 cm.
So, 6 = 2πr
r = 6 / (2π)
r ≈ 0.955 cm
Now, the curved surface area (CSA) of the cylinder using the formula:
CSA = 2πrh
Given the height as 8 cm, we can substitute the values into the formula:
CSA = 2π(0.955 cm)(8 cm)
CSA ≈ 48.06 cm²
Therefore, the curved surface area of the cylinder is 48.06 cm².
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what is a square of 22
Answers
Answer:
484
Step-by-step explanation:
22^2 = 484
. If BC = 17 and DC = 26, what is the diameter of circle O to the nearest tenth? The figure is not drawn to scale.
0 15.5
0 56.8
0 22.8
0 39.8
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Answer: the answer i got was b
Step-by-step explanation:
A storeowner orders 25 calculators that cost $43 each. The storeowner can sell each calculator for $53. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $5 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?
Answers
Answer:
$205
Step-by-step explanation:
25 X 43 = 1075 (initial cost).
22 X 53 = 1166 (initial profit)
sends back 3 back at $5 each = $15.
initial cost (refunded) for 3 calculators = 3(43) = 129
1166 - 1075 - 15 + 3(43)
= 1166 + 129 - 1075 - 15
= $205
Help pls…………………………………..
Answers
Answer:
Trapezoid
Step-by-step explanation:
A parallelogram is a four side rectangle slightly slanted
A quadrilateral is four side shape eg rectangle, square
A trapezium is
Write 1 1/6 as an improper fraction
Answers
Step-by-step explanation:
Improper fractions have a numerator that is larger than the denominator
1 = 6/6
so 1 1/6 = 7/6
please help i need this to graduate
Answers
The required related probability statement is P(-1.65 < z < 1.65) = 0.901 or 90.1%.
Find the area under the standard normal curve that lies between z = -1.65 and z = 1.65.
Sketch the standard normal curve: Draw a bell-shaped curve with the mean at 0.Shade in the area of interest: Shade in the region between z = -1.65 and z = 1.65 on the curve.Determine the area: Using a standard normal distribution table or software, look up the probabilities associated with the shaded area. From the example given, the area is found to be 2(.4505) = .901.Interpret the result: The shaded area represents a probability of 0.901 or 90.1%. The related probability statement is P(-1.65 < z < 1.65) = 0.901 or 90.1%.Remember, these steps can be applied to other problems involving the standard normal curve to find probabilities or areas associated with specific ranges of values.'
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What is the degree of the polynomial 1/4y^7-5y^2+3y+8
Answers
Answer:
7
Step-by-step explanation:
The degree of a polynomial is the highest power of the variable in the polynomial. In the polynomial [tex]\bold{\frac{1}{4} y^7-5y^2+3y+8}[/tex], the highest power of y is 7. Therefore, the degree of the polynomial is 7.
Here is a breakdown of the degrees of each term in the polynomial:
[tex]\bold{\frac{1}{4} y^7: degree \:7 }\\\bold{-5y^2: degree \:2}\\\bold{3y: degree \:1}\\\bold{8: degree\: 0}}[/tex]
The degree of a polynomial is the highest degree of any term in the polynomial. In this case, the highest degree is 7, so the degree of the polynomial is 7.
The perimeter of the quadrilateral is 37cm. Which equation could be used to find the length of the missing side?
A. x+12=37-11
B. x+11+12=37
C. x+21÷8=37
D. x+31=37
Answers
Answer: D
Step-by-step explanation:
To find the equation that could be used to find the length of the missing side of the quadrilateral, let's analyze the answer choices:
A. x+12=37-11
B. x+11+12=37
C. x+21÷8=37
D. x+31=37
We know that the perimeter of a quadrilateral is the sum of all its sides. Therefore, we can set up an equation where x represents the length of the missing side:
A. This equation doesn't represent the perimeter. It subtracts 11 from 37 instead of adding the lengths of the sides.
B. This equation adds the lengths of the two given sides correctly, but it doesn't consider the length of the missing side.
C. This equation divides 21 by 8 and then adds x, which doesn't accurately represent the perimeter.
D. This equation correctly adds the length of the missing side x to the known length of 31, representing the perimeter.
Therefore, the equation that could be used to find the length of the missing side is D. x+31=37.
The perimeter of a quadrilateral is the sum of its four sides.
Let a, b, c, and d be the four sides of the quadrilateral.
Then, the equation for the perimeter of the quadrilateral would be:
Perimeter = a + b + c + d
We are given that the perimeter of the quadrilateral is 37cm. So we can write:
a + b + c + d = 37
However, we are not given the lengths of all four sides. Instead, we are asked to find the length of the missing side, which may be represented by x. Thus we can express the equation above in terms of x:
a + b + c + x = 37
Simplifying the equation, we can write:
a + b + c = 37 - x
We can’t know which of the equations A, B, C or D could be used to find the length of the missing side without knowing more information about the quadrilateral or the given diagram.
Find the next number in sequence 36,30,24,18 ?
Answers
Answer:
12
Step-by-step explanation:
The given sequence is an arithmetic sequence where the difference between one number and the previous number is -6
For example, 30 - 36 = -6
24-30 = -6
18 - 24 = -6
This constant difference is known as the common difference
The next number in the sequence will be 6 less than 18 = 18-6 = 12
[Will Give Brainliest] What is the area of the trapezoid?
Enter your answer in the box.
Answers
Answer:
A = 378 in²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between the bases b₁ and b₂
here b₁ = 6 + 15 + 6 = 27 , b₂ = 15 ( equal to middle section of b₁ ), h = 18, so
A = [tex]\frac{1}{2}[/tex] × 18 × (27 + 15) = 9 × 42 = 378 in²
Please help me! Your smart!
Answers
Answer:
1) Side c = 64
2) sin A = 7/25
cos A = 24/25
tan A = 7/24
3) x = 11, y = 11[tex]\sqrt{2}[/tex]
4) D
5) Right
Step-by-step explanation:
1) sin29=31/c
0.48481=31/c
c=63.92
c=64
5) 25^2=24^2+7^2
625=576+49
625=625
So, the triangle is a right triangle.
Find area to the given figures below
Answers
The areas of the composite figures are listed below:
Case 13: A = 198 mm²
Case 14: A = 52.069 mm²
How to determine the area of a composite figure
In this problem we find two composite figures, whose areas are determined with the help of the following area formulas:
Triangle
A = 0.5 · b · h
Rectangle
A = b · h
Semicircle
A = 0.5π · r²
Where:
b - Baseh - Heightr - RadiusNow the area for each case is introduced below:
Case 13
A = 0.5 · (12 mm) · (15 mm) + (12 mm) · (9 mm)
A = 198 mm²
Case 14
A = 0.5π · (4.5 mm)² + (4.5 mm)²
A = 52.069 mm²
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please help!!!!! solve for x to the nearest tenth 7x^2=15x+9
(x^2 = x squared
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Answer: the solutions to the equation 7x^2 = 15x + 9, rounded to the nearest tenth, are x ≈ 2.3 and x ≈ -0.8.
Step-by-step explanation: To solve the equation 7x^2 = 15x + 9, we can rearrange it into a quadratic equation by subtracting 15x and 9 from both sides:
7x^2 - 15x - 9 = 0
Now, we need to solve this quadratic equation. We can either factor it or use the quadratic formula. Let's use the quadratic formula, which states that for an equation in the form ax^2 + bx + c = 0, the solutions for x are given by:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
In this case, a = 7, b = -15, and c = -9. Substituting these values into the formula, we have:
x = (-(-15) ± sqrt((-15)^2 - 4 * 7 * (-9))) / (2 * 7)
x = (15 ± sqrt(225 + 252)) / 14
x = (15 ± sqrt(477)) / 14
To the nearest tenth, we can evaluate the two solutions:
x ≈ (15 + sqrt(477)) / 14 ≈ 2.27 (rounded to the nearest tenth)
x ≈ (15 - sqrt(477)) / 14 ≈ -0.77 (rounded to the nearest tenth)
Therefore, the solutions to the equation 7x^2 = 15x + 9, rounded to the nearest tenth, are x ≈ 2.3 and x ≈ -0.8.
3
Analyze the diagram below and complete the instructions that follow.
3
A. 4
B. √65
C. 11
D. 5√ √13
x
5
Find the unknown side length, x. Write your answer in simplest radical form.
Answers
The value for the unknown side length, x in simplest radical form is [tex]\sqrt{65}[/tex].
How can the value of x be found?Based on the figure that is been provided , it can be deduced that the length of the line separating the two triangles is 4 which an be found using the Pythagoras theorem as
[tex]5^{2} = 3^{2} + y^{2} \\\\y^{2} = 25 -9\\\\y^{2} =16\\y=\sqrt{16} \\y=4[/tex]
Then the line dividing the triangle is been named y and it is 4., then we calculate the value of x as;
[tex]x^{2} = 7^{2} + 4^{2} \\x^{2} = 49 + 16\\ x^{2} = 65\\x=\sqrt{65}[/tex]
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wtite the height of the bat in cm
Answers
Answer: The height of a bat depends on how tall you are. All are different. Baseball bats a limited to 107cm. It is typically between 70-100cm.
Step-by-step explanation:
