A set is a mathematical model for a collection of diverse things; it amy comprises of elements or members. The set {A∪B}∩{B∩C'} will be equal to {4,7}.
What is a set?A set is a mathematical model for a collection of diverse things; it comprises elements or members, which can be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.
The following sets are given,
U = {3, 4 , 5 , 6 , 7 , 8 , 9 , 10}A = {4, 6, 8}B = {3, 4, 7, 8}C = {3, 5, 9}A∩B means the number should be in either set A or set B. Therefore, we can write,
{A∪B} = {3 , 4 , 6 , 7 , 8}
B∩C' means the number should be in ser B, but should not be in set C. Therefore, we can write,
{B∩C'} = {4, 7, 10}
{A∪B}∩{B∩C'} means that both the sets {A∪B} and {B∩C'} should contain the digits,
{A∪B}∩{B∩C'} = {4, 7}
Hence, the set {A∪B}∩{B∩C'} will be equal to {4,7}.
Learn more about Sets here:
https://brainly.com/question/8053622
#SPJ1
I quite do t understand will I be now to help mrunderstand
From the given inequality graph
6. The solution shown by the graph is
\(\begin{gathered} x<0,or,x\ge4 \\ x<0\cong0>x \\ So, \\ 0>x\ge4 \end{gathered}\)7. The solution shown by the graph is
\(x<-6,or,x>-3\)\(\begin{gathered} x<-6\cong-6>x \\ So, \\ -6>x>-3 \end{gathered}\)8.
The graph of k ≤ -1 is
The graph of k > 4 is
The graph of k ≤ -1, or, k > 4 is
Step 2 The admission price increased by 50%. Complete the bar diagram that represents 150% of the price 5 years ago. price 5 years ago = $3 So, the current admission price is current price = + or --- increase 150%
The bar diagram representing 150% of the price 5 years ago would be a bar with a height of $4.50.
What is the percentage?
Percentage is a way to express a number as a fraction of 100. It is often used to describe the relationship between two quantities, or to express a rate or change in a quantity over time. The symbol for percent is "%".
For example, if a pizza is marked up by 20%, it means the price has increased by 20/100 or 1/5 of the original price. If a student scores 80% on a test, it means they got 80 out of 100 questions correct. If a stock's value increases by 10%, it means the value has gone up by 10/100 or 1/10 of the original value.
The current admission price is $3 + $3 * 50% = $3 + $1.50 = $4.50.
150% of the price 5 years ago is $3 * 150% = $3 * 1.5 = $4.50.
So, the bar diagram representing 150% of the price 5 years ago would be a bar with a height of $4.50.
To learn more about the percentage, visit:
https://brainly.com/question/24877689
#SPJ1
Thomas obtained a bank loan of k10 000 from BSP bank.He repays the money with 36% interest in one year.Calculate his installment payment he pays in one fortnight?
Thomas' installment payment that he pays in one fortnight is approximately k523.08.
To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).
First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:
Interest = Principal × Interest Rate
= k10,000 × 0.36
= k3,600
The total amount to be repaid is the sum of the principal and the interest:
Total Amount = Principal + Interest
= k10,000 + k3,600
= k13,600
Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:
Number of Fortnights = 52 weeks / 2
= 26 fortnights
To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:
Installment Payment = Total Amount / Number of Fortnights
= k13,600 / 26
≈ k523.08
Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.
It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.
For more such questions on installment visit:
https://brainly.com/question/28330590
#SPJ8
A line has a slope of 0 and it includes the pointes (-3,-9) and (5,j) what is the value of j?
Step-by-step explanation:
where slope = O
SO ,the line is parallel to X axis passing through -9
therefore j = _ 9
You are certain to get a red card when selecting 27 cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusiv
Answer:
If something is guaranteed, it has a probability of 100%, or 1.
Step-by-step explanation:
A standard deck has 52 cards. Of these, half are red cards (diamonds and hearts) and half are black cards (clovers and spades)
Half of the deck is 26 cards (52 ÷ 2 = 26), so you have 26 red and 26 black cards.
What this means in our context is, if we draw 27 cards, even if we drew all 26 black cards, we would still have 1 red card.
So the probability is 100%, or 1, of drawing a red card when we pick 27 cards from a deck, no matter how it's shuffled
The probability of getting a red card is 1.
No matter how you shuffle the cards, the no of cards will remain the same.
Therefore, it will not affect the probability.
What is probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Learn more about probability here: https://brainly.com/question/251701
#SPJ2
A bus holds 39 passengers. How many buses will 420 people need
Answer:
11 buses
Step-by-step explanation:
A television is on sale for $75 off,
The price of the television with the sale is $300,
If you use the equation n - 75 = 300 to solve this problem, what does n represent?
The term n is the initial amount that the television is to be sold.
What is the meaning of n?We are told that the television in this case is to be sold at a discount piece. The implication of this is that there is something that has to be removed from the price of the television as it is sold.
We are told that what they are to remove from the price of the television is about $75 and that when this is done, the price of the television would be about $300. Thus n is the original price of the television.
Learn more about discount:https://brainly.com/question/3541148
#SPJ1
The variable n represents the initial value of the television
How to interpret the variable nFrom the question, we have the following parameters that can be used in our computation:
Amount off = $75
New price = $300
When represented as the equation, we have
n - 75 = 300
Add 75 to both sides of the equation
So, we have the following representation
n = 375
This means that the initial price of the television is $375
Read more about equation at
https://brainly.com/question/2972832
#SPJ1
Question 14 (essay worth 12 points)
(writing two step equations HC)
Given the equation 6x + 18 = 72:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Part C: Explain what the value of the variable represents. (2 points)
A. Ram spent $18 on six pens and six books. The grand total is $72.
B. The cost of each pen is $9.
C. The variable is called x.
What is an equation?
A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).
Here, we have
Given: the equation 6x + 18 = 72:
A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.
B. The following equation will be used to demonstrate this:
6x + 18 = 72
Compile similar terms.
6x = 72 - 18
6x = 54
On dividing,
x = 54 / 6.
x = $9
Hence, each pen will set you back $9.
C. The variable's value is x = 9.
Hence, the pen's price is 9.
To learn more about the equation from the given link
https://brainly.com/question/28405823
#SPJ1
HELP ASAP! What are the slope and the y-intercept of the linear function that is represented by the graph?
A. The slope is 2/3, and the y-intercept is -2.
B. The slope is 2/3, and the y-intercept is 3.
C. The slope is 3/2, and the y-intercept is-2.
D. The slope is 3/2, and the y-intercept is 3.
Answer: Y: 2/3 X: 3/2
Step-by-step explanation:
Y rise: 2 run: 3
2/3= Is about 0.6666
And
X: rise: 3 run:2
3/2= 1.5
Answer:
I don't know what the person above put but the slope is 2/3 abd y intercept is -2 so the answer is A on edge
Step-by-step explanation:
IT IS A ON EDGE
The distance, d, that a rock falls when dropped from a cliff varies directly as the square of the time, t, the rock is falling. If a rock falls 64 feet in 8 seconds,
The distance of a rock after three seconds will be 144 feet.
A function is an assertion, concept, or principle that establishes an association between two variables.
Let's use the formula for direct variation, which is:
d = kt²
64 = k(2²)
64 = 4k
k = 16
Now we can use this value of k to find the distance when t = 3:
d = 16 × (3²)
d = 16(9)
d = 144
Therefore, the rock will fall 144 feet in 3 seconds.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
The complete question is given below.
The distance, d, that a rock falls when dropped from a cliff varies directly as the square of time, t, the rock is falling. If a rock falls 64 feet in 2 seconds, how far will it fall in 3 seconds?
a) Find the perimeter of a rectangle whose length is 10 10²/3 cm and breadth is 6 cm.
please need fast I will make brilliant
Answer:
40
Step-by-step explanation:
P=2(l+w)
2·(10+10)
=40
lf the exchange rate of 1 dollar is Rs 72.45. how many dollars exchanged for Rs 1449 ?
Step-by-step explanation:
solution
here,
1 dollar = rs 72.45
or, 1/72.45 dollars= rs 1
or, rs 1 = 1/72.45 dollars
now,
rs 1449= 1449/72.45 dollars
or,rs1449= 20 dollars
therefore, 20 dollars can be exchanged for rs 1449
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
Cricket match Australia v England begins 10:00 UK time.
Australian time is 11 hours ahead of UK time.
What time will it be in Australia when the match starts?
(24 hr clock)
Answer:
10 pm?
Step-by-step explanation:
if so you say
10+11=21
09:00 in the morning.
Solve AABC. Round your answers to the nearest hundredth, if necessary
Answer:
\(C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83\)
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be \(180-90-65=25^{\circ}\).
In any triangle, the Law of Sines is given by \(\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\).
Therefore, we have:
\(\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}\)
\(\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}\)
Giving brainliest to first accurate answer.
I believe the it would be 2x^2 + 6x + 20 = 0.
A tutor charges $12 for each hour she works and
charges a one time material cost of $35 Write an
equation that relates the number of hours h the tutor
worked at a job for which she charged $71?
Answer:
71 = 35 + 12h
Step-by-step explanation:
71 = 35 + 12h
-35
36 = 12h
/12
3 = h
She worked 3 hours to charge that much
Rate•Time = Distance
How many km per hour must you swim if you want to cross a 5-km channel in 2 hours?
Answer:
2.5 km/h
Step-by-step explanation:
Here we have a distance problem where we are given the distance the time time:
Rate = ?
Time = 2hrs
Distance = 5km
The simplest way to do this is to rearrange the formula to suit our need and plug in the numbers:
\(R*T=D\\R*\frac{T}{T}=\frac{D}{T} \\R=\frac{D}{T}\)
Now, plug in the numbers and solve:
\(R=\frac{D}{T}\\R=\frac{5}{2} \\R=2.5\)
During your journey, you develop an abscessed tooth and have to visit the dentist. You are prescribed an antibiotic with a dosage of 7.5 mg/kg every six hours. If you weigh 128 pounds and the antibiotic comes in 250 mg tablets, how many tablets should you take each day?
Answer:
I should take 10.44 tablets in a day, approximately 10.5 tablets.
Step-by-step explanation:
In order to solve this problem we need to convert the weight from pounds to kilograms, to do that we need to divide it by 2.205.
\(w = \frac{128}{2.205}\\w = 58.05 \text{ kg}\)
Since I need to take 7.5 mg per kg of body weight, then in order to find the dosage we need to multiply the weight in kg by 7.5.
\(\text{dosage} = 58*7.5 = 435 \text{ mg}\)
Since I need to take it every six hours and there are 24 hours in a day, we will have to take 4 dosages in a day, therefore we need:
\(\text{dosage(day)} = 435*6 = 2,610 \text{ mg}\)
The antibiotic comes in 250 mg in tablets, therefore the number of tablets is:
\(tablets = \frac{2610}{250} = 10.44\)
I should take 10.44 tablets in a day, approximately 10.5 tablets.
$490 at 2.1% compounded
quarterly for 6 months
Rewrite the problem, and show your work to the long division in the answer space. Be sure to answer any questions asked next to the process.
The long division for finding the value of the fraction 1/4 can be presented as follows;
\($$\begin{array}{c|cccc}\multicolumn{2}{r}{} 0 & . &2&\boxed5\\\cline {2-5}4 & 1 & . & 0 & 0 \\\multicolumn{2}{r}{-} & 0 & \downarrow \\ \cline{3-4}\multicolumn{2}{r}{} & 1 & 0 \\\multicolumn{2}{r}{} & - & 8 \\ \cline{4-4}\multicolumn{2}{r}{} & & 2 & \boxed0 \\\multicolumn{2}{r}{} & & - & \boxed{20} \\ \cline{5-5}\multicolumn{2}{r}{} & & & \boxed0\end{array}$$\)
1/4 = 0.25
What is long division?The long division method is used for dividing large numbers. The method involves writing the dividend and the divisor in a format following which a series of steps are used to find the quotient and the remainder after the division.
The long division of 1 by 4 can be presented as follows;
1 divided by 4 = 0, which is written at the top of the long division symbol, and a decimal point and 0 is placed to the right of 1 within the symbol
The 0 in the quotient is multiplied with 4, to produce 0, which is placed in the third line
The 0 above is subtracted from 1 to give 1, which is placed in the fourth line, and the 0 after the decimal point is placed next to the 1 to form the next number, 10, which will be divided by the 4 to obtain 2, which is then written to the right of the decimal point at the top.
The process is continued until there is a remainder value less than 4 which is expressed as the remainder
Learn more on long division here: https://brainly.com/question/22858132
#SPJ1
d) lan's mass is 2.5 Kg less than Sean. The sum of their masses is 121.5 Kg. What is the mass of each
person?
After solving the equation we know that the mass of Sean and Ian is 62kf and 59.5 ks respectively.
What are equations?Equation: A statement stating the equality of two expressions containing variables or numerical values.
Equation: A formula that uses the equals sign to combine two expressions and declare their equality.
In essence, equations are questions, and the methodical pursuit of solutions to these questions has served as the driving force behind the creation of mathematics.
Sean mass = x
Lan mass = x - 2.5
Then, form the equation and solve it as follows:
x + (x - 2.5) = 121.5
x + x - 2.5 = 121.5
2x - 2.5 = 121.5
2x = 121.5 + 2.5
2x = 124
x = 124/2
x = 62
Then, x - 2.5 = 59.5.
Therefore, after solving the equation we know that the mass of Sean and Ian is 62kf and 59.5 ks respectively.
Know more about equations here:
brainly.com/question/2972832
#SPJ1
Victoria took a test and got 80% of the questions right. She answered 20 questions correctly. How many questions were on the test?
Answer:
25 questions :D
Step-by-step explanation:
A truck with 30-in.-diameter wheels is traveling at 50 mi/h.
Find the angular speed of the wheels in rad/min, "hint convert miles to inches & hours to minutes:
_________rad/min
How many revolutions per minute do the wheels make?
___________rpm
Answer:
A. the angular speed is 3771.4 rad/min
b. 5921 rpms
Step-by-step explanation: I just got this same question right on a test.
Find the volume. Help please it’s due tomorrow
Answer:
2cm
Step-by-step explanation:
vbjufdxcvhjjkknvxzdhjkbcxdf
5 STARS IF CORRECT! Can you find the value of an expression when values for x and y are given? Explain.
If the expression has only two variables \( x\) and $y$, or if there's just one variable out of these two, then the answer is yes.
If the expression has more variables (other than X and y), then the answer is no.
Eugene and Jessica each improved their yards by planting hostas and geraniums. They bought
their supplies from the same store. Eugene spent $150 on 18 hostas and 6 geraniums. Jessica
spent $113 on 7 hostas and 16 geraniums. Find the cost of one hosta and the cost of one
geranium.
The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.
Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.
From the information given, we can set up the following equations:
Eugene's spending:
18h + 6g = $150
Jessica's spending:
7h + 16g = $113
We can now solve this system of equations to find the values of 'h' and 'g'.
Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:
36h + 12g = $300
21h + 48g = $339
Now, we can subtract the second equation from the first to eliminate 'h':
(36h + 12g) - (21h + 48g) = $300 - $339
36h - 21h + 12g - 48g = -$39
15h - 36g = -$39
Simplifying further, we have:
15h - 36g = -$39
Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.
Let's solve for 'h':
15h = 36g - $39
h = (36g - $39) / 15
Substituting this value of 'h' into Eugene's equation:
18[(36g - $39) / 15] + 6g = $150
(648g - $702) / 15 + 6g = $150
648g - $702 + 90g = $150 * 15
738g - $702 = $2250
738g = $2250 + $702
738g = $2952
g = $2952 / 738
g ≈ $4
Now, substituting the value of 'g' back into Eugene's equation:
18h + 6($4) = $150
18h + $24 = $150
18h = $150 - $24
18h = $126
h = $126 / 18
h ≈ $7
Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
For such more questions on Cost of Hosta & Geraniums
https://brainly.com/question/14324591
#SPJ8
What is the measure of C?
Answer:
C.) 60°
Step-by-step explanation:
The triangle is an equilateral triangle. So that means that all the angles measure the same. And we have to remember that a triangle always equals 180°
So, to find out the measure of an angle. We must divide 180 by 3. Which is 60
=60°
Hope this helps you out! : )
You have 2000 grams of substance A which has decay constant 0.03, and you have 3000 grams of substance B, which has decay constant 0.05. After how many years will the amounts of the two substances be equal?
Answer:
If you have a quantity X of a substance, with a decay constant r, then the equation that tells you the amount of substance that you have, at a time t, is:
C(t) = X*e^(-r*t)
Now, we know that:
We have 2000g of substance A, and it has a decay constant of 0.03 (i assume that is in 1/year because the question asks in years)
And we have 3000 grams of substance B, with a decay constant of 0.05.
Then the equations for both of them will be:
Ca = 2000g*e^(-0.03*t)
Cb = 3000g*e^(-0.05*t)
Where t is in years.
We want to find the value of t such that Ca = Cb.
So we need to solve:
2000g*e^(-0.03*t) = 3000g*e^(-0.05*t)
e^(-0.03*t) = (3/2)e^(-0.05*t)
e^(-0.03*t)/e^(-0.05*t) = 3/2
e^(t*(0.05 - 0.03)) = 3/2
e^(t*0.02) = 3/2
Now we can apply Ln(x) to both sides, and get:
Ln(e^(t*0.02)) = Ln(3/2)
t*0.02 = Ln(3/2)
t = Ln(3/2)/0.02 = 20.3
Then after 20.3 years, both substances will have the same mass.
Please nswer this question.
Answer:
4.75 megabytes per second
Step-by-step explanation:
500-25 = 475
475 / 100 = 4.75