Final answer:
The operation b \\u222a (a \\u2229 c) combines the unique elements of set b with the intersection of sets a and c, resulting in the set {-4, -2, 0, 1, 2, 3, 4}.
Explanation:
The student is asked to perform the operation b \\u222a (a \\u2229 c), given three sets a, b, and c. To do this, we need to first find the intersection of sets a and c, which is the set of elements that are both in a and in c. Then we find the union of set b with this intersection, which includes all the elements that are either in b or in the intersection of a and c.
Set a: {-3, -2, -1, 0, 1, 2, 3}
Set b: {-4, -2, 0, 2, 4}
Set c: {0, 1, 2, 3, 4}
First, find the intersection: a \\u2229 c = {0, 1, 2, 3}.
Next, find the union with set b: b \\u222a (a \\u2229 c) = {-4, -2, 0, 1, 2, 3, 4}.
The final result is the set {-4, -2, 0, 1, 2, 3, 4}, which contains all unique elements from both sets b and the intersection of a and c.
A giraffe can run 32 miles per hour. What is this speed in feet per second? Round your answer to the nearest tent.
Speed is the rate of change of distance over time.
The speed in feet per seconds is 46.9
The speed of the giraffe is given as:
[tex]\mathbf{Speed = 32 miles/hour}[/tex]
Start by converting miles to feet
To do this, we multiply 32 by 5280.
So, we have:
[tex]\mathbf{Speed = 32 \times 5280feet/hour}[/tex]
[tex]\mathbf{Speed = 168960feet/hour}[/tex]
Next, convert hour to seconds
To do this, we divide by 36000.
So, we have:
[tex]\mathbf{Speed = \frac{168960}{3600} feet/seconds}[/tex]
[tex]\mathbf{Speed = 46.9 feet/seconds}[/tex]
Hence, the speed in feet per seconds is 46.9
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2/3 x 5/7 =? A. 7/10 B. 14/15 C. 10/21 D. 7/21
HELP ME
2/3 * 5/7 =
multiply the 2 top numbers and then the 2 bottom numbers
2*5 =10
3*7 = 21
so you get 10/21
answer is C
what is 8.525 rounded to 2 decimal place????
1. algebraic expression
2. coefficient
3. constant
4. expression
5. variable
A. the constant preceding the variables in a product
B. a letter or symbol used to represent an unknown
C. a mathematical expression containing one or more variables
D. a numerical value
E. a mathematical phrase that cannot be determined true or false
Answer:3. constant - D. a numerical value
2. coefficient - A. the constant preceding the variables in a product
4. expression -E. a mathematical phrase....
5. variable - B. a letter... representing an unkown
1. algebraic expression - C. a mathematical expression...
hope this helps
Step-by-step explanation:
Decide which of the two points lies on the graph of the line
X= -3
A. 2,-3
B. -3,2
Find x if:
64x^3=a^6
The answer will be (a/2) to the power of 2.
Find the value of x. If necessary, round to the nearest tenth.
A. 11.7 in.
B. 9.7 in.
C. 13.7 in.
D. 6.9 in.
Answer:
B. 9.7 in.
Step-by-step explanation:
We have been given an image of a triangle. We are asked to find the value of x.
We will use area of triangle formula to solve our given problem.
[tex]\text{Area of triangle}=\frac{1}{2}\times \text{Base*Height}[/tex]
[tex]47\text{ in}^2=\frac{1}{2}\times x*x[/tex]
[tex]2*47\text{ in}^2=\frac{1}{2}*2\times x^2[/tex]
[tex]94\text{ in}^2=x^2[/tex]
Taking square root of both sides we will get,
[tex]x=\sqrt{94\text{ in}^2}[/tex]
[tex]x=9.6953597\text{ in}\approx 9.7\text{ in}[/tex]
Therefore, the value of x is 9.7 inches and option B is the correct choice.
What are the slope and the y-intercept of the linear function that is represented by the equation y=9x-2?
1.)The slope is –2, and the y-intercept is 9.
2.)The slope is 2, and they y-intercept is 9.
3.)The slope is 9, and the y-intercept is –2.
4.)The slope is 9, and the y-intercept is 2.
Answer with explanation:
The equation of line in slope intercept form is :
y= m x +c
Where,m =Slope
c=Y intercept =Distance between origin and point where the line cuts the Y axis
The equation of line is
y= 9 x-2
Comparing with the above equation of line in slope intercept form
Slope =9
Y intercept =2
Option 4
The slope is 9, and the y-intercept is 2.
A valid opinion poll requires random sampling which means
What is the value of 5^3? A.125 B.25 C.15 D.8
Simplify square root of negative 48.
a) negative 4 square root of 3
b) 4 square root of negative 3
c) 4 i square root of 3
d) 4 square root of 3 i
Answer:
C. 4 i square root of 3
Step-by-step explanation:
In order from smallest to largest 0.9,75%,4/5
A=11+4b-4c. Solve for C.
Answee Choices:
A. C=a-4b-11/-4
B. C=a+b-11/-4
C. C=a+4b+11/-4
D. C=a-b+11/-4
Can someone please explain this with steps? I don't understand this problem. Thanks!
Two expressions with equal sign is equation. C=a-4b-11/-4 is the solution for c when given equation is A=11+4b-4c. Option A is correct.
What is equation?Two expressions with equal sign is called as equation.
Given equation,
a= 11 + 4b - 4c
We need to separate c from equation,
-4c = a - 11 - 4b
Divide both sides by -4
c=(a-11-4b)/-4
Therefore option A is correct for equation A=11+4b-4c.
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0.71428571428 as a fraction in simplest form
To express 0.71428571428 as a fraction, we use a geometric series and find that the simplest form is 713/999.
Explanation:To express 0.71428571428 as a fraction in simplest form, we first note that the fractional part of the decimal is 0.71428571428. Since the decimal has a repeating pattern, we can represent it as a fraction using a geometric series. Let x equal the fraction, then we have:
x = 0.71428571428
Multiplying both sides by 10 gives:
10x = 7.1428571428
Subtracting the original equation from the new equation eliminates the repeating part:
10x - x = 7.1428571428 - 0.71428571428
Simplifying, we get:
9x = 6.42857142852
Dividing both sides by 9, we find:
x = 0.71428571428 = 6.42857142852/9 = 713/999
Therefore, 0.71428571428 as a fraction in simplest form is 713/999.
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Find the value of ‘x' and the length of segment ab. if b is between a and c, and ab = 3x – 3 and bc = 4x + 8, and ac = 75, then find the value of ‘x' and ab. answer
To solve for 'x' and the length of segment AB, we use the equation AB + BC = AC, which simplifies to (3x - 3) + (4x + 8) = 75, revealing that 'x' = 10 and the length of AB is 27 units.
Explanation:The question requires us to find the value of 'x' and the length of segment AB given that B is between A and C, with AB = 3x – 3, BC = 4x + 8, and the total length AC = 75. To solve this, we set up an equation using the given lengths of segments AB and BC to equal the total length AC. This gives us the equation AB + BC = AC, which simplifies to (3x – 3) + (4x + 8) = 75.
First, we simplify the equation: 3x + 4x – 3 + 8 = 75, which reduces to 7x + 5 = 75. Subtracting 5 from both sides gives us 7x = 70. Dividing both sides by 7, we find that x = 10. With the value of x, we can find AB by substituting x back into its equation: AB = 3(10) – 3 = 30 – 3 = 27.
Therefore, the value of 'x' is 10 and the length of segment AB is 27 units.
Which graph represents a function?
Answer:
1st and last one
Step-by-step explanation:
the first and the last one are the only ones that represent a function because for each value of x there is only one corresponding value of y.
A graph represents a function if each value of x corresponds uniquely to a value of y. These graphs, often called line graphs, can depict various types of functions like linear, quadratic, etc. The slope and position of the line will vary depending on the function's formula.
Explanation:
In the subject of Mathematics, specifically when dealing with functions and graphs, a graph represents a function if each value of x corresponds to a unique value of y. This means that different values of x will produce different values of y. Graphs can be produced using specific pairs of (x,y) data points.
These graphs may be named line graphs as they showcase the relationship between two variables: one measured on the horizontal axis (x) and the other on the vertical axis (y). An example could be a function where y = a + bx. If b > 0, the line of the graph slopes upward to the right. If b = 0, the line is horizontal. If b < 0, the line slopes downward to the right.
Graphs may also represent other types of functions like linear, quadratic, inverse, or exponential, depending on the equation of the relation between x and y. It's also important to note that there can be other types of graphs, such as a specific type of line graph shown, where the x-axis consists of data values and the y-axis consists of frequency points.
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7 divided by something = 1204
How many possible solutions are there to a linear equation in one variable?
Write (9 + 6i) − (1 + 3i) as a complex number in standard form.
Answer
8+3i
Step-by-step explanation:
(9 + 6i) − (1 + 3i)
(8+6i)-(3i)
8+3i
What does it mean to be “in the black?”
Answer: c you have more credits then debts
Step-by-step explanation:
Which set represents a pythagorean triple (1 point)?
The design on Santana’s wall includes 16 pink stripes and 20 green stripes. Find the ratio of pink stripes to green stripes.
The ratio of pink stripes to green stripes on Santana's wall is 4:5.
To find the ratio of pink stripes to green stripes on Santana's wall, we need to compare the two quantities. Santana has 16 pink stripes and 20 green stripes. The ratio can be simplified by finding the greatest common divisor of the two numbers and then dividing both by that number to find the simplest form.
In this case, the greatest common divisor of 16 and 20 is 4. We divide both numbers by 4 to simplify the ratio:
16 / 4 = 4
20 / 4 = 5
Therefore, the simplified ratio of pink stripes to green stripes is 4:5.
Identify the relative minimum point of the graph. Select all that apply.
What's is the radius of a circle with a circumference of 56.5?
Write the next three terms and write a rule to describe the number pattern. 0.57, 0.66, 0.75, 0.84, . . .
The next three terms in the number pattern 0.57, 0.66, 0.75, 0.84 are 0.93, 1.02, and 1.11. The rule for the pattern is that each term increases by 0.09 from the previous term.
Explanation:The given sequence is: 0.57, 0.66, 0.75, 0.84, ... The step or difference between each consecutive term is 0.09. Therefore, the next three numbers in the sequence would be: 0.84 + 0.09 = 0.93, 0.93 + 0.09 = 1.02, 1.02 + 0.09 = 1.11. So the answer is 0.93, 1.02, 1.11.
The generalized rule for this series is that each term increases by 0.09 from the previous term. In mathematical terms, if we denote the nth term as Tn, then Tn+1 = Tn + 0.09. This rule tells us that the number pattern involves adding 0.09 for each subsequent term in the sequence.
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A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 648 feet of fencing is used. find the dimensions of the playground that maximize the total enclosed area.
the sum of three consecutive integers is 105 which equation could you use to find the three integers?
Equation: n + (n +1) + (n+2) = 105
solution:
n + (n +1) + (n+2) = 105
3n +3 = 105
3n = 102
n = 102/3
n = 34
34 +1 = 35
34+2 = 36
34 +35 +36 = 105
In a salsa recipe, the number of tomatoes added is proportional to the amount of salt added. This graph shows the relationship.
What is the unit rate for the number of tomatoes to the tsp of salt?
Answer:
The unit rate for the number of tomatoes to the tsp of salt is 3.
Step-by-step explanation:
Consider the provided graph.
The equation of the line is [tex]y=3x[/tex]
A unit rate is a rate with 1 in the denominator.
Here, the meaning of unit rate is how much tomatoes to the tsp of salt.
As we know the slope intercept form is:
[tex]y = mx + b[/tex]
Where, m is the slope of the line or rate and b is y intercept.
By the comparison we can say that the slope of the line is 3. Here, the denominator is 1.
This shows that 3 tomatoes are added for each teaspoon of salt.
Hence, the unit rate is 3.
Explain the axis of symmetry for f(x)=-2(x-4)^2+2
Jonathon created a graph that shows the number of exercises he completes in his workout routine
Which statement summarizes his exercise routine?Jonathon does 3 crunches for every 2 push-ups.Jonathon does 2 push-ups for every 3 crunches.Jonathon does 2 push-ups for every 15 crunches.Jonathon does 15 push-ups for every 2 crunches.
Answer: Hello mate!
in the graph you can see that:
Jonathon does 2 pushups when he does 15 crunches.
then he does 4 = ( 2+ 2) pushups when he does 30 = (15 + 15) crunches
this means that he does 2 pushups more than before, and 15 crunches more than before.
and 6= (2 + 2 +2) pushups when he does 35 =(15 + 15 + 15) crunches.
this, again, means that he does 2 pushups more than before, and 15 crunches more than before.
then you can see that he does 2 pushups for every 15 crunches.