Given:
The sets are [tex]A=\{1,3,5,6\}[/tex] and [tex]B=\{0,7\}[/tex].
To find:
Whether A and B are disjoint sets or not.
Solution:
Two sets are called disjoint sets if there are no common elements between them.
We have,
[tex]A=\{1,3,5,6\}[/tex]
[tex]B=\{0,7\}[/tex]
Clearly, there is not common elements between the set A and set B.
Therefore, the sets A and B are disjoint sets.
Simplify the following expression:
6b + 3ab + 4b + 3
O 2b
O 10b + 3ab + 3
O 13b + 3
06b + 3ab + 4b + 3
Answer:
6b+4b first because you have to combine like terms so 10b and the others aren't like terms so you just plug them in so 10b+3ab+3
Table I contains outputs of the function f(x) = b* for some 2 values, and Table Il contains outputs of the
function g(x) = log: (x) for some e values. In both functions, b is the same positive constant.
Fill in the missing values in the tables. If necessary, round your answer to three decimal places.
Table 1: 1.683 Table 2: 9
The missing values in the table will be 11.452.
What is a logarithm?Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The given data from the table;
[tex]\rm f(x)=b^x[/tex]
For the first function;
[tex]\rm b^(0.683)= 3 \\\\ b= 4.995[/tex]
The blank data is found as;
[tex]\rm b^x = 8 \\\\ \rm (4.995)^x = 8 \\\\ x \ log \ 4.995 =8 \\\\ x=11.452[/tex]
Hence the missing values in the table will be 11.452.
To learn more about the logarithm refer to the link;
https://brainly.com/question/7302008
m(x)=x(x+6)
p(x)=x(x+3)²-9
Show that m(x) and p(x) are equivalent
Answer:
m=x+6
Step-by-step explanation:
Let's solve for m.
mx=x(x+6)
Step 1: Divide both sides by x.
2x/x= x²+6x/x
m=x+6
Hope this helps :)
PLS BRAINLIEST
Help&EXPLAIN
•••••••••••••••••••
Answer:
The surface area is 200.96 square feet
Step-by-step explanation:
Given
[tex]r = 2[/tex]
[tex]h =14[/tex]
Required: Determine the surface area
This is calculated using:
[tex]SA = 2\pi r^2 + 2\pi rh[/tex]
So:
[tex]SA = 2 * 3.14 * 2^2 + 2 * 3.14 * 2 * 14[/tex]
[tex]SA = 25.12 + 175.84[/tex]
[tex]SA =200.96[/tex]
which expression is equivalent to - iz q(-60r + 24q) – 8r(5q + r)?
A 2q2 - 35gr + 8r?
B-2q2 - 45gr + 8r2
© 292-45gr - 8r2
D-2q2 - 35gr - 8r2
Answer:b
Step-by-step explanation:
Solve for x to the nearest tenth
Tyrone used 15 centimeters of tape to wrap 5 presents. How many presents did Tyrone wrap if he used 42 centimeters of tape? Assume the relationship is directly proportional.
Answer: 14 presents
Step-by-step explanation:
5 presents 42 cm tape
——————I-———————.
15 cm tape 1
= (5x42) /15 = 14 presents
Mean and standard deviation of sample proportions
Suppose that 35% of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 30 students from the population of 750 students at the school and finds that 40% of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this. Let p represent the proportion of a sample of 30 students in the school who can sing their national anthem correctly. What are the mean and standard deviation of the sampling distribution of p?
Answer: D
Suppose that 35\%35%35, percent of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 303030 students from the population of 750750750 students at the school and finds that 40\%40%40, percent of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this.
Step-by-step explanation: Khan Academy Explanation
The mean and standard deviation is given by -
μ = 0.35 and σ = 0.09.
What is mean, median and mode in statistics?Mean : The "average" number; found by adding all data points and dividing by the number of data points.Median : The middle number; found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the mean of those two numbers).Mode : The most frequent number—that is, the number that occurs the highest number of times.Given is that suppose that 35% of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 30 students from the population of 750 students at the school and finds that 40% of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this. Let {p} represent the proportion of a sample of 30 students in the school who can sing their national anthem correctly.
The standard deviation is given by → [tex]$\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]where -
{σ} = population standard deviation
{N} = the size of the population
x{i} = each value from the population
{μ} = the population mean
The mean and standard deviation is given by -
μ = 0.35
σ = √(0.35)(0.65)/(30) = 0.48/5.5 = 0.09
σ = 0.09
Therefore, the mean and standard deviation is given by -
μ = 0.35 and σ = 0.09
To solve more questions on statistics, visit the link below -
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(10 + 2)² + (6 -14÷7) =
Answer:
148
Step-by-step explanation:
12 x 12 + (6-2)
144 + 4 = 148
Hope that helps!
12² + 2 = 144 + 4 = 148
Answer = 148
According to the priority of the process, first we do inside the brackets and then we get the exponent.
I hope I got it right, I'm trying to improve my English a little :)
Greetings from Turkey:)#XBadeXEighth grade ) Y 1 Find the slope of a graph D7M
Look at this graph:
AY
100
90
80
70
60
00
50
40
S
OL
30
20
10
0
10
20
30
40 50
60
70 80
90 100
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
2/3
Step-by-step explanation:
I used the "rise over run" technique. You find the change in y, over the change in x
In the right triangle shown, mZA = 45° and AB = 12. How long is BC?
Answer:
I think BC is 45°÷2 Or 12÷2
Step-by-step explanation:
so the answer is 15° or 6
2 (4y + 3 + y) hellppp
Answer:
10y + 6 hope this helps :)
Step-by-step explanation:
dimensions of a house are 300 feet by 125 feet . if 1 inch represent 50 feet what are the dimensions of the house on the drawing
Help Me Please.................
Answer:
[tex]x=-15.8994[/tex]
Step-by-step explanation:
Skills needed: Solving one variable equations, Multiplication
1) We are given: [tex]-11.818=-7+\frac{x}{3.3}[/tex], and we need to solve for "[tex]x[/tex]"
2) In order to do this, you need to isolate the variable. In other words, you need to make sure the term involving "[tex]x[/tex]" is on one side of the equation, while everything else is on the other side.
In this case, the term involving "[tex]x[/tex]" is: [tex]\frac{x}{3.3}[/tex] In order to isolate [tex]\frac{x}{3.3}[/tex], you need to get rid of the "-7" on the right side. To get rid of it, we can add 7 to both sides.3) [tex]-11.818+7 = -7+\frac{x}{3.3} +7[/tex]
[tex]-11.818+7=-4.818[/tex]
-7 and 7 on the right side cancel out.
4) So you are left with: [tex]-4.818=\frac{x}{3.3}[/tex]
To get "[tex]x[/tex]", you need to multiply both sides by 3.3If you do this, the denominator will get cancelled out, leaving us with "[tex]x[/tex]" equaling a value.5) So then: [tex]-4.818 * 3.3 = x[/tex] (that star sign in between -4.818 and 3.3 is a multiplication sign)
[tex]-4.818*3.3 = -15.8994[/tex], so [tex]x = -15.8994[/tex]
Hope this helps and have a nice day!! :] :) :D
X and Y are mathematically similar chocolate boxes.
Y
X has a volume of 130 cm^3 and a surface area of 202^2 cm?.
The volume of Y is 638.69 cm^3.
What is the surface area of Y?
Answer:
992.43 cm²
Step-by-step explanation:
From the question given above, the following data were obtained:
Volume of shape X (Vₓ) = 130 cm³
Surface area of shape X (SAₓ) = 202 cm²
Volume of shape Y (Vᵧ) = 638.69 cm³
Surface area of shape Y (SAᵧ) =?
The surface area of shape Y can be obtained as follow:
Since the shape are similar, then:
Vₓ / Vᵧ = SAₓ / SAᵧ
130 / 638.69 = 202 / SAᵧ
Cross multiply
130 × SAᵧ = 638.69 × 202
130 × SAᵧ = 129015.38
Divide both side by 130
SAᵧ = 129015.38 / 130
SAᵧ = 992.43 cm²
Thus, surface area of shape Y is 992.43 cm²
What type of number is \piπ?
help pls
a quadrilateral with all sides congruent and all angles required to be equal to 90 us called a
Answer:
square
Step-by-step explanation:
Hope this helps.
Answer:
D
Step-by-step explanation:
x to the second power is 49 what is x?
Answer:
7 or -7
Step-by-step explanation:
the question is asking for x to to the second power which is x squared or x^2
so setting x^2=49
square root both sides of the equation so that x is by itself and the other side is just ±√(49). which ±√49 is just 7 or -7
Hope that helps :)
Please gve brainliest
Look at the picture before trying to solve.
solve 2x^2 - 6x = -8
Kelly wants to plant flowers on the edge of a circular flowerbed around a tree. If the radius of the flowerbed is 2 feet, and she wants to place the
plants approximately 3 feet apart. How many flower plants should she buy?
A
2 flowers
B
3 flowers
D
4 flowers
5 flowers
Answer:
Divide the given diameter by 2 to obtain the radius in feet.
Divide the radius in feet by 3 to obtain the radius in yards.
Square the radius and multiply the result by an approximation of suitable for your required level of precision. This calculation will provide you with the area of the circle in square yards.
Multiply the calculated area by 13 and round to the nearest whole number. (unless you think the hero of this story knows of a nursery that will sell him fractional parts of a plant)
Notes on approximation of for this problem. Either , , or any representation of to greater precision will result in the same number of plants after rounding to the nearest whole number of plants.
John
Step-by-step explanation:
I NEED HELP ASAP PLEASE I'll give brainliest to whoever answers.
Answer:
the first one is 36
Step-by-step explanation:
Answer:
#4 - 36
#5 - 2
Step-by-step explanation:
For the first question, #4, I believe you have to just find what both those numbers go into, that's 36, so the 36th customer will get both.
For the second question, #5, all you need to know is how many time 2/3 can go into 2 2/3, then that is your answer. So 2/3 only goes in twice, it almost makes it to three but that doesn;t matter you don't have enough raisins to make it there she can only make two batches with the raisins she has.
Make sure to label - if you're supposed to!
Hope this helps! :)
Type in the correct value for m... (Only the numerical answer)
369 + m = 908
I NEED HELP
Find the equation of the graph given below. Notice that the sine function is used in the answer template, representing a sine function that is shifted and/or reflected.
Use the variable x in your equation rather than the multiplication × symbol.
y = __ sin (___) + (___)
Given:
The graph of a sine function.
To find:
The sine function.
Solution:
The general form of a sine function is
[tex]y=Asin(Bx+C)+D[/tex] ...(i)
Where, |A| is amplitude, [tex]\dfrac{2\pi}{B}[/tex] is period, [tex]-\dfrac{C}{B}[/tex] is phase shift and D is mid-line.
From the given graph it is clear that the minimum value of the function is -4 and the maximum value is 0.
[tex]|A|=\dfrac{Maximum-Minimum}{2}[/tex]
[tex]|A|=\dfrac{0-(-4)}{2}[/tex]
[tex]|A|=\dfrac{4}{2}[/tex]
[tex]|A|=2[/tex]
The graph is reflected across the mid-line, so A=-2.
And,
[tex]D=\dfrac{Maximum+Minimum}{2}[/tex]
[tex]D=\dfrac{0+(-4)}{2}[/tex]
[tex]D=\dfrac{-4}{2}[/tex]
[tex]D=-2[/tex]
Period of the function is 4π because it completer its one cycle in the interval of 4π.
[tex]4\pi=\dfrac{2\pi}{B}[/tex]
[tex]B=\dfrac{2\pi}{4\pi}[/tex]
[tex]B=\dfrac{1}{2}[/tex]
Phase shift is [tex]\dfrac{\pi}{4}[/tex].
[tex]-\dfrac{C}{B}=\dfrac{\pi}{4}[/tex]
[tex]-\dfrac{C}{\frac{1}{2}}=\dfrac{\pi}{4}[/tex]
[tex]C=-\dfrac{1}{2}\times \dfrac{\pi}{4}[/tex]
[tex]C=-\dfrac{\pi}{8}[/tex]
Putting [tex]A=-2,B=\dfrac{1}{2},C=-\dfrac{\pi}{8},D=-2[/tex] in (i), we get
[tex]y=-2\sin\left(\dfrac{1}{2}x-\dfrac{\pi}{8}\right)-2[/tex]
Therefore, the required equation is [tex]y=-2\sin\left(\dfrac{1}{2}x-\dfrac{\pi}{8}\right)-2[/tex].
volume of rectangular prism with length of 9in and width of 1 1/3in and height of 4 2/3in
Answer:
V≈55.98
Step-by-step explanation:
V=WHL=1.33x4.67x9≈55.978
I need help please?
Answer:
B
Step-by-step explanation:
the blue parabola shows (1/4x)^2, the red shoes x^2, you can see the horizontal stretch, hope this helps :)
Find the missing lengths in the rectangular prism. Please help.
Answer:
vgggghujvgjjihgfdryujgfdfg
Answer:
s=10.92
r=11.467
Step-by-step explanation:
3²+10.5²=s²
9+110.25=s²
119.25=s²
√119.25=s
s=10.92
3.5²+10.92²=r²
12.25+119.25=r²
131.525=r²
√131.5=r
r=11.467
Martha has three rows of flowers. There were n flowers in each row. How many total flowers were in each row?
Answer:
n to the 3rd power, I think
A boat travels 187 miles in 10
hours (with a constant speed).
How far can it travel in 14 hours
(with the same speed)?
Answer:
grufhvdyfvgysgddgfvsygujsbchusb
Step-by-step explanation:
A rectangular painting is bordered on all sides by a frame. Write an
expression to describe the area of the frame.
A. 6x + 4
B. 4x2 + 3
C. 5x + 3
D. 4x2 + 5x + 3
I think it is a 6x+4
The required area of the frame shown is 5x + 3. Option C is correct.
What is surface area?The surface area of any shape is the area of the shape that is faced or the surface area is the amount of area covering the exterior of a 3D shape.
Here,
The area of the picture is given as,
= 2x × x
= 2x²
The area of the whole painting with frame.
= (x + 1)(2x+ 3)
= 2x² + 5x + 3
The area of the frame is given as,
= area of picture with frame - an area of the picture,
= 2x² + 5x + 3 - 2x²
= 5x + 3
Thus, the required area of the frame shown is 5x + 3. Option C is correct.
Learn more about the surface area here: https://brainly.com/question/2835293
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Question 4
(05.05)What is the rate of change for the linear relationship modeled in the table
Answer:
-1/2
Step-by-step explanation: