Answer:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Step-by-step explanation:
Given set:
E = {1, 3, 9, 27}We observe that:
1 = 3⁰, 3 = 3¹, 9 = 3², 27 = 3³Each term can be shown as 3ⁿ, where n is natural number between 0 and 3.
Set builder notation:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Here let's observe
1=3^03=3^19=3^227=3^3So set builder form:-
[tex]\\ \sf\longmapsto E=\{x|x=3^n,n\in N,0\leqslant n\leqslant 3\}[/tex]
HELPPPPPPPP ASAPPPPPPPPPPPPPPP!!!!!!!!!!!!!!
pls help with number 12
9514 1404 393
Answer:
a. Zachary is correct
b. (-1)(-3) = 3 (Scott & Tina are wrong); (5)(-2) = -10 (Aaron is wrong); (1)(3) = 3
Step-by-step explanation:
a. An even number of minus signs in a product will mean the product is positive; an odd number will mean the product is negative. Zachary's observation is consistent with this rule. Zachary is correct.
We can show the others are incorrect using a counter-example.
(-1)(-3) = 3 . . . . shows Scott, Aaron, and Tina are incorrect
Tina's rule is not consistent with the commutative property of multiplication.
Aaron's rule applies to addition, but not to multiplication.
__
b. The example used above is one example. Here are two more.
(-1)(-3) = 3 . . . . . shows Zachary correct; Scott, Aaron, Tina incorrect
(5)(-2) = -10 . . . . Aaron's own example shows him incorrect
(1)(3) = 3 . . . . . . agrees with all students' observations
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?
solve using a system of equations. will mark brainliest for correct answer and working
Answer:
2 6/7 km/hStep-by-step explanation:
t - time spent by boat, s - speed of the raft
time = distance / speed
Equations:
t = 20 / 12t + 5 h 20 m = 20 / sTime the patrol-boat spent:
t = 20/12 = 5/3 hTime the raft spent:
5 h 20 min + t = 5 1/3 + 5/3 =16/3 + 5/3 =21/3 =7 hoursThe speed of the raft:
7 = 20/ss = 20/7s = 2 6/7 km/hReview:
Match each decimal with its equivalent simplified fraction.
NOTE: Simplified fractions may be in the improper fraction format.
0.25
[Choose]
0.14
[Choose ]
1.4
[Choose ]
0.4
[Choose ]
0.375
[Choose ]
Answer:
0.25-1/4
0.14-7/50
1.4-7/5
0.4-2/5
0.375-3/8
(-1/2+7/10)-(-3/4x-1/5)
Answer:
( − 1 2 + 71 0 ) − ( − 3 4 ⋅ − 1 ⋅ 1 5 )
Step-by-step explanation:
How do you write 8 whole and 1/2 + whole 7 2/3 as a mixed number
The answer is 16 1/6
Step-by-step explanation:
1. make both of the denominators into six : 1/2=3/6 and 2/3=4/6
2. add them all together 8+7=15, 4/6+3/6=7/6
3. make the 7/6 into a mixed number so 1 1/6 add that to the 15 so 16 1/6
Answer: 16 1/6
To add mixed numbers, the first thing you do is convert the mixed numbers into improper fractions. How?
You multiply the whole number with the denominator of the proper fraction, then you'll add the numerator.
First mixed number is 8 1/2.
So, you'll multiply 8 by 2 then add 1.
(8 × 2) + 1 = 17
Next is 7 2/3.
Repeat this process.
(7 × 3) + 2 = 23
When your done, plug in the denominator and find the LCD, since the denominators are unlike. (First find the LCM of 2 and 3, which is 6). Our improper fractions should be:
8 1/2 = 17/2 × 3/3
7 2/3 = 23/3 × 2/2
Multiply the LCD, which is 2 and 3 and you'll get:
LCD of 8 1/2 ⇒ 51/6
LCD of 7 2/3 ⇒ 46/6
Now we can add. (You DO NOT add the denominator).
51/6 + 46/6 = 97/6
Since 97/6 is an improper fraction, we must convert it into a whole number.
Divide 97/6 and you'll get 16 with a reminder of 1.
16 is the whole number.
1 is the numerator.
Hence, the answer is 16 1/6.
let's substract : (2x + 3y) from (8x + 6y)
[tex]\huge\mathfrak\pink{answer} [/tex]
An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent. O 25% increase 0 33% increase O 12% increase O 75% increase
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today!
We can solve this problem in two steps, one is Comprehending and another is Solving. I'll start off with Comprehending.
Comprehending
We can start off by looking at the problem, it wants us to find the percentage increase from 36 to 48. We can then find difference between 48 and 36; that would be 12.
Now that we know the increase from 36 to 48 is 12. We need to find how much percent 12 is of 36.
Now that we know what we have to do, we can start solving.
Solving
We can solve the problem by setting up and equation, but we can also just use our logic in finding it out.
Since we know that we need to find how much 12 is of 36, we can just solve for that and we will get our answer.
We can do that with one step.
[tex]\frac{12}{36}=0.33[/tex]
Since it is a percent, we can multiply 0.33 by 100 and we get our answer of 33%
Bab needs help with complex numbers
I'm DJ music is my hobbies what about you:)
Answer:
Playing video games or sumthin
Solve for q.
7q–5q=16
q=
Answer:
q = 8
Step-by-step explanation:
7q - 5q = 16
Then you can subtract the 7q by 5q which will get you 2q.
So now it is 2q = 16, you can simply divide both sides by 2 to get 8
hope it helped!
Hello, I hope you are having a nice day.
7q-5q=16
Combine Like terms:
2q=16
Divide both sides by 2 in order to isolate q:
q=8.
So this is the answer. Hope it helps you. :)
Ask me if you have any queries.
~An emotional teenager who helps other people on Brainly
[tex]MagicalNature[/tex]
Good luck.
Suppose an annuity pays 7.0% annual interest, compounded annually. If you invest $3,000 every year for 5 years, what percentage of the balance in the account is interest earned?
Round your answer to the nearest hundredth of a percent.
Answer:
13.05%
Step-by-step explanation:
The value of an ordinary annuity earning interest compounded annually is ...
A = P((1 +r)^n -1)/r . . . . . interest rate r for n years on principal payments P
For this account, the balance after 5 years will be ...
A = 3000((1 +.07)^5 -1)/0.07 = 3000·5.750739
The sum of payments is ...
payment total = 3000·5
Then the amount of interest is ...
3000·(5.750739 -5) = 3000·0.750739
and the fraction that is of the account balance is ...
(3000·0.750739)/(3000·5.750739) × 100% ≈ 13.05%
About 13.05% of the balance is interest earned.
How do I do this math !
Answer:
The equation of a straight line is always
[tex]y=mx+b[/tex]
The constant m always refers to the slope, and the constant b always refers to the y-intercept.
Simply substitute the numbers in:
[tex]y=-\frac{1}{2}x+3[/tex]
There's your equation!
If oranges are sold at ₹45 per dozen, Manu can buy 6 dozens of them with the money he has. Find the decrease in the number of oranges that he can buy if the cost is increased by ₹9 per dozen
Answer:
first 45-6=36 and 36×6=216 the answer is 216
Find the equation of the line L.
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (8, 0) ← 2 points on the line
m = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = - [tex]\frac{1}{2}[/tex]
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = - [tex]\frac{1}{2}[/tex] x + 4 ← equation of line L
At an airport, it costs $7 to park for up to one hour and $5 per hour for each additional hour. Let x
represent the number of hours parked. Write the function that models the cost, C(x), of parking x
hours, where x is an integer greater than 1. A:c(x)
Answer:
C(X)=5(x-1)+7
Step-by-step explanation:
because x-1 represents the fact that the first hour costs $7 and then x times 5 represents the fact that each hour after that costs $5
Angel invests money in an account paying simple interest. He invests $110 and no money is added or removed from the investment. After one year, he has $115.50. What is the simple percent interest per year?
Answer:
5%
Step-by-step explanation:
First let's find the interest,
$ 115.50 - $ 110
= $ 5.5
Now let's use this formula to find the simple percent interest.
Simple interest = P × r × t / 100
Here,
P = Principle
r = rate
t = time
Let us find now.
[tex]5.5 =\frac{P *r*t}{100} \\5.5 = \frac{110*r *1}{100} \\550=110r\\\frac{550}{110} =\frac{110r}{110} \\5=r[/tex]
Therefore, the percentage is 5%
Hope this helps you.
Let me know if you have any other questions :-)
PLZ HURRY IT'S URGENT!!!!
Find the area of the circle to the nearest hundredth. (Use 3.14 for π)
options:
452.16 cm2
37.68 cm2
113.04 cm2
18.84 cm2
Answer:
113.04 cm^2
Step-by-step explanation:
To find the area, you do radius squared, multiplied by [tex]\pi[/tex]
Radius is half of the diameter. 12/2 is 6
6^2×3.14=113.1
On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance?
-16.75 + (5.72 + 16.75)
Use the commutative property to get:
-16.75 + (16.75 + 5.72)
Use the associative property to get:
(-16.75 + 16.75) + 5.72
Answer:
5.72
Step-by-step explanation:
(-16.75 + 16.75) = 0
0 + 5.72= 5.72
Therefore, the answer is 5.72
4 - 4y + y - 3
7-5y+2+1
What are the like terms coefficients
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Question \#1}\downarrow\\\\\large\textsf{4 - 4y + y - 3}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-4y + y)+ (4 - 3)}\\\large\text{SOLVE IT!}\\\large\textsf{= -3y + 1}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{-3y + 1}}}\huge\checkmark[/tex]
[tex]\large\text{Question \#2}\downarrow\\\\\large\textsf{7 - 5y + 2 + 1}\\\large\text{COMPARE the LIKE TERMS}\\\large\textsf{= (-5y)+ (7 + 2 + 1)}\\\large\textsf{(-5y) + (9 + 1)}\\\large\textsf{= (-5y) + 10 }\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-5y + 10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
In physics, the equation PV = nRT is called the ideal gas law. It is used to approximate the behavior of many gases under different conditions.
P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas. Which equation is solved for T?
A: PV/R = nT
B: PV/nR = T
C: T= PV - nR
D: PVnR = T
Answer:
Option B
Step-by-step explanation:
[tex]PV = nRT\\\rule{150}{0.5}\\\rightarrow \frac{PV = nRT}{nR}\\\\\rightarrow \boxed{\frac{PV}{nR} = T}[/tex]
Hope this helps.
The equation for T will be;
⇒ T = PV/nR
Where, P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas.
Option B is true.
What is Linear equation?
When in an equation the highest power of variable is one then its called Linear equation.
Given that;
The equation for the ideal gas law is,
PV = nRT
Where, P, V, and T represent pressure, volume, and temperature,
n represents the number of moles of gas, and R is a constant for the ideal gas.
Now,
Solve the equation for T as;
PV = nRT
Divide both side by 'nR' we fet;
PV/nR = nRT/nR
PV/nR = T
T = PV/nR
Thus, The equation for T will be;
⇒ T = PV/nR
Learn more about the linear equation visit:
https://brainly.com/question/85774
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Help help help help help help help help help
Answer:
-4
Step-by-step explanation:
if you add negative 4 to each of the x's, it would give you the number of y
Answer:
-4
Step-by-step explanation:
the explanation is up in my answer
Only answer this if you know the answer.
Find out the gradient of both blue lines
Answer
first line=4.1,10
second=6,10
Step-by-step explanation:
write an equation with the two given points (7, -2) (-1, 0)
Answer:
haha.A. Write True if the statement is correct and False if it is not true. 1. In active voice, the subject of the sentence is doing the action, 2. In passive voice, the action is done on/upon the subject. 3. The doer of the action is followed by the verb in active voice. 4. The doer of the action is preceded by the verb in active voice, 5. The receiver of the action in active voice is preceded by the verb. 6. The receiver of the action in passive voice is followed by the verb. 7. In passive voice, meaning is clearer and more direct. 8. In active voice, meaning can be confusing and indirect, 9. The tone is authoritative and subjective in active voice, 10. The tone is neutral or objective in passive voice.
1. 2y +8x =70
2. 2y = 8x- 70
3. y= 8x- 70
What’s the slope and y intercept for these equations?
Can you give me some hint please
Find the difference:
x+
x-1
-
- 8
x-1
O
9
x-1
2-7
X1
-7
1
2x+9
1
DONE
Answer: [tex]\frac{9}{x-1}[/tex]
Step-by-step explanation:
Since the denominators are the same, we can subtract the numerators.
[tex]\frac{x+1}{x-1}-\frac{x-8}{x-1}=\frac{(x+1)-(x-8)}{x-1}=\boxed{\frac{9}{x-1}}[/tex]
Joe cuts ten pizzas into quarters. How many pizza quarters are there in total?
Answer:
40 pizzas in total
Step-by-step explanation:
10×4=40
Brian has half of his investments in stock paying a 5% dividend and the other half in a stock paying 9% interest. If his total annual interest is $420, how much does he have invested?
The amount invested in each stock, the stock interest rate and the
duration of the investment, determines the interest.
Brian invested $3,000 in the stock that pays 5% dividend and $3,000 in the stock that pays 9% to make a total investment of $6,000.Reasons:
Let X represent the sum of the amount Brian invested, we have;
Amount invested in stock paying 5% dividend = [tex]\dfrac{X}{2}[/tex]
Amount invested in stock paying 9% dividend = [tex]\dfrac{X}{2}[/tex]
Total annual interest = $420
Required:
The amount invested in the stocks
Solution:
The amount invested is found as follows;
[tex]\dfrac{X}{2} \times 5\% + \dfrac{X}{2} \times 9\% = 420[/tex]
0.025·X + 0.045·X = 420
0.07·X = 420
[tex]\displaystyle \mathrm{The \ amount \ invested , \, X} = \frac{420}{0.07} = \mathbf{ 6,000}[/tex]
The amount he invested = $6,000 ($3,000 in each stock)
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Given the perimeter find the unknown side length. P= 1,000 x =?
Answer:250
Step-by-step explanation:
a square had 4 sides, the perimeter is 1,000. 1,000/4+250 :)
Jorge wants to find the height of the house, help him find it.
Answer:
:)
Step-by-step explanation:
:)