Answer:
125 p^3 g^3
Step-by-step explanation:
(5pg)^3
We know that (ab)^c = a^c * b^c
5^3 p^3 g^3
125 p^3 g^3
decomponha o número 52.489
Answer:50.000+2000+400+80+9
Step-by-step explanation:
Answer:
50.000 + 2.000 + 400 + 80 + 9
Help please asap first answer get brainliest
Beging you please
Answers:
12. 2 3/5+1 4/6 = (2+1)+(3/5+4/6) = 3+19/15 = 64/15
13. 2/4*4/6 = 8/24 = 1/3
14. 3/4*3/6 = 9/24 = 3/8
15. 2/6*4/6 = 8/36 = 2/9
16. 2/4*1/6 = 2/24 = 1/12
17. 3/4/1/6 = 18/4 = 9/2
18. 3/4/2/4 = 12/8 = 3/2
19. 3/6/4/6 = 18/24 = 3/4
20. 5/7+2/7 = 7/7 = 1
21. 4/5+5/7 = 53/35
22. 3/5+5/5 = 8/5
23. 1/6-1/6 = 0
24. 3/7-2/3 = -5/21
25. 3/5-2/7 = 11/35
A hot air balloon went from an elevation of 6,813 feet to an elevation of 3,168 feet in 54 minutes. What was its rate of descent?
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t^4 – 9t^3 + 24t^2 – 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
5 months
3 months
2 months
1 month
(2 months isn’t the answer btw)
The profitability of the restaurant is when the function gives a value greater than 0. The franchise does not make a profit after 5, 3, 2 or 1 month of opening.
Given that:
[tex]P(t) = t^4 - 9t^3 + 24t^2 - 20t[/tex]
To calculate the profit, we simply substitute the values of t in the above equation.
(a) 5 months
This means [tex]t =5[/tex]
So, we have:
[tex]P(5) = 5^4 - 9\times 5^3 + 24 \times 5^2 - 20 \times 5[/tex]
[tex]P(5) = 0[/tex]
(b) 3 months
This means that [tex]t=3[/tex]
So, we have:
[tex]P(3) = 3^4 - 9 \times 3^3 + 24 \times 3^2 - 20 \times 3[/tex]
[tex]P(3) = -6[/tex]
(c) 2 months
This means that [tex]t = 2[/tex]
So, we have:
[tex]P(2) = 2^4 - 9 \times 2^3 + 24 \times 2^2 - 20 \times 2[/tex]
[tex]P(2) = 0[/tex]
(d) 1 month
This means that [tex]t = 1[/tex]
So, we have:
[tex]P(1) = 1^4 - 9 \times 1^3 + 24 \times 1^2 - 20 \times 1[/tex]
[tex]P(1) = -4[/tex]
For the restaurant to make a profit, the equation has to give a positive value. Since none of the values of t gives a positive value for P(t).
Then, we can say the franchise does not make a profit after 5, 3, 2 or 1 month of opening.
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A trip to Lauren’s grandfathers house is 3,074 miles round trip. If the family visits him 4times each year, how many miles do they travel to see him one year ?
Answer:
12,296
Step-by-step explanation:
The total miles they travel to see him one year is 12,296 miles.
Given that;
A trip to Lauren’s grandfather's house is 3,074 miles round trip.
And, the family visits him 4 times each year.
Used the concept of multiplication which gives,
The total miles they travel to see him one year is.
3,074 × 4
= 12,296 miles
Therefore, the total length of travel to see him in one year is 12,296 miles.
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Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?
Answer:
765
Step-by-step explanation:
1)4.25/100=0.0425
2)0.0425*3600=153
3)153*5=765
11. Which of the following is an example of a rational number?
1. In order to complete the square on x^2 – 3x, you would…?
Answer:
(x-1.5)^2 -2.25
Step-by-step explanation:
divide 3 by 2 which is 1.5
(x-1.5)^2 -2.25
Find the number of steel ball bearings, each of diameter 0.7 cm, which can be made from 1 kg of steel, given that 1 cm' of steel has a mass of 7.85 g.
Answer:
707.7, or 707
Step-by-step explanation:
0.18 x 7.85 g = 1.413 g/one bearing. Total amount of bearings: 1kg = 1000 g/1.413
The unit circle with center at the origin is a relation but not a function Find the two functions which are semicircles of the unit circle and determine their domains and ranges?
Answer:
Step-by-step explanation:
The relation is x²+y²=r² with r being the radius
[tex]f(x)=y=\sqrt{r^2-x^2} \\\\domain(f(x))=[-r,r]\ or\ -r\leq x \leq r\\range(f(x))=[0,r]\ or\ 0\leq y \leq r\\\\\\\ g(x)=y=-\sqrt{r^2-x^2} \\domain(g(x))=[-r,r]\ or\ -r\leq x \leq r\\range(g(x))=[-r,0]\ or\ -r\leq y \leq 0\\\\[/tex]
52% of 1000 registered voters intend to vote for Steven Collins for mayor. What is the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins?
A. (50.1%, 53.9%)
B. (48%, 56%)
C. (49.9%, 54.1%)
D. (48.9%, 55.1%)
Using the z-distribution, the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins is:
D. (48.9%, 55.1%)
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The other parameters are given as follows:
[tex]\pi = 0.52, n = 1000[/tex]
Hence the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]
As a percentage, option D is correct.
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Determine the gradient of line AC
Answer:
This formula can also be written as \(y - {y}_{1} = m\left(x - {x}_{1}\right)\). The standard form of the straight line equation is \(y = mx + c\) where \(m\) is the gradient and \(c\) is the \(y\)-intercept.
Carlo got a pet snake as a birthday present. On his birthday, the baby snake was just 26 cm long. He has been measuring its length weekly and has noticed that it has been growing approximately 2 cm each week.
Write an equation to represent the length of the snake in weeks since Carlo's birthday use L for length and w for weeks.
The equation to represent the length of the snake in weeks:
[tex]L=2w+26[/tex]
Given:
A snake of lenght of 26 cemtimeters grows approximately 2 centimeter long each week.
To find:
The equation to represent the length of the snake in weeks
Solution:
Let the length of the snake in' w' weeks be 'L'.
The initial length of the snake on Carlo's birthday = 26 cm
At starting very first week the length of the snake was 26 cm. And after a week the lenght of the snake becomes 28 cm and then aftertwo weeks the length becomes 30 cm and so on.
Increase in length of the snake each week = 2 cm
And increase in length of the snake in 'w' weeks = (2×w) cm
And the length of the snake in terms weeks (w) will be given by equation:
[tex]L=2\times w+ 26\\L=2w+26[/tex]
The equation to represent the length of the snake in weeks:
[tex]L=2w+26[/tex]
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this is a for real question i need some help
Answer:
5/12
Step-by-step explanation:
Multiply [tex]\frac{1}{2}[/tex] times [tex]\frac{5}{6}[/tex] by multiplying the numerator times the other numerator and the denominator by the other denominator. Which leaves you with [tex]\frac{5}{12}[/tex].
hope this helps!
Select all that apply please!
Answer:
x= –4/5 , x= 2
Step-by-step explanation:
5x²-6x-14=-6
5x² –6x –14 +6=0
5x²–6x –8=0
(5x+4)(x-2)=0
x=–4/5
x=2
Hi! I'm happy to help!
To solve this, we simply have to replace x with the given values.
First, we have -14, let's apply that:
(5·(-14²))-(6·(-14))-14=
Now, let's solve (using the order of operations):
(5·(-14²))-(6·(-14))-14=
(5·196)-(6·(-14))-14=
980-(6·(-14))-14=
980-(-84)-14=
980+84-14=
1064-14=
1050=
1050≠-6
Option 1 is incorrect.
Next, let's substitute 14 for x:
(5·14²)-(6·14)-14=
Now, let's solve:
(5·14²)-(6·14)-14=
(5·196)-(6·14)-14=
980-(6·14)-14=
980-84-14=
896-14=
880=
880≠-6
Option 2 is incorrect.
Now, let's substitute -7 for x:
(5·(-7²))-(6·(-7))-14=
Now, let's solve:
(5·(-7²))-(6·(-7))-14=
(5·49)-(6·(-7))-14=
245-(6·(-7))-14=
245-(-42)-14=
245+42-14=
287-14=
273=
273≠-6
Option 3 is incorrect.
Now, let's substitute 7 for x:
(5·7²)-(6·7)-14=
Now, let's solve:
(5·49)-(6·7)-14=
245-(6·7)-14=
245-42-14=
203-14=
189=
189≠-6
Option 4 is incorrect.
Now, let's substitute -2 for x, and solve:
(5·(-2²))-(6·(-2))-14=
(5·4)-(6·(-2))-14=
20-(6·(-2))-14=
20-(-12)-14=
20+12-14=
32-14=
18=
18≠-6
Option 5 is incorrect.
Now, let's substitute 2 for x and solve:
(5·2²)-(6·2)-14=
(5·4)-(6·2)-14=
20-(6·2)-14=
20-12-14=
8-14=
-6=
-6=-6
Option 6 is correct.
Now, let's substitute -1 for x and solve:
(5·(-1²))-(6·(-1))-14=
(5·1)-(6·(-1))-14=
5-(6·(-1))-14=
5-(-6)-14=
5+6-14=
11-14=
-3=
-3≠-6
Option 7 is incorrect.
Now, let's substitute 1 for x and solve:
(5·1²)-(6·1)-14=
5-(6·1)-14=
5-6-14=
-1-14=
-15=
-15≠-6
Option 8 is incorrect.
Now, let's substitute -4/5 for x and solve:
(5·(-4/5²))-(6·(-4/5))-14=
(5·0.64)-(6·(-4/5))-14=
3.2-(6·(-4/5))-14=
3.2-(-4.8)-14=
3.2+4.8-14=
8-14=
-6=
-6=-6
Option 9 is correct.
Now let's substitute 4/5 for x and solve:
(5·4/5²)-(6·4/5)-14=
(5·0.64)-(6·4/5)-14=
3.2-(6·4/5)-14=
3.2-4.8-14=
-1.6-14
-15.6
-15.6≠-6
Option 10 is incorrect.
To summarize, you should pick option 6, and option 9.
I hope this was helpful, keep learning! :D
Help!
Find the value of x for which ABCD must be a parallelogram.
which point is a solution to the following system:
y=-3x-13
x+2y=4
PLEASE HELP
X+11/8 = -3
Show your work in details if you can, I have a hard time understanding this.
Answer:
[tex] \frac{x + 11}{8} = - 3 \\ x + 11 = - 3 .8 \\ x = - 24 - 11 \\ x = - 33[/tex]
maaf jika salah
Answer:
x=-35
Step-by-step explanation:
x+11=-3*8
x+11=-24
x=-24-11
x=-35
Convert a lot size of 2/9 acre to square feet given the conversion factor: 1 acre = 43,560 ft2
Answer:
9680 ft^2
Step-by-step explanation:
1 acre = 43,560 ft^2
(2/9) acre = (2/9)*43,560 ft^2
(2/9) acre = 9680 ft^2
Please Help!!! Will give brainliest
Answer:
e) and f) doesn't exist.
Step-by-step explanation:
Other you can see in picture.
A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number
Answer:
The number is 5
BRAINLIEST, PLEASE!
Step-by-step explanation:
8x + 2 = 2(21)
8x + 2 = 42
8x = 40
x = 5
In the expression, the value of number is 5.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We can to given that;
The algebraic expression is,
''A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21.''
Now,
Let a number = x
Hence, We can formulate;
⇒ x × 8 + 2 = 2 × 21
⇒ 8x + 2 = 42
Subtract 2 both side,
⇒ 8x + 2 - 2 = 42 - 2
⇒ 8x = 40
Divide by 8;
⇒ x = 5
Thus, The value of number = 5
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A trapezoid has one base measuring 12', and the other measuring 13'8". What is the area in square feet if the height of the trapezoid is 9'4"?
(Remember for trapezoids A= (b1 + b2)/2 x h
Answer:
Step-by-step explanation:
buzhou一=12212+13。8.12+13.8=25.8 25.8x9.4=?242.52242.522
The area of the trapezoid is given by A = 121.26 feet²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the trapezoid be represented as A
Now , the equation will be
Let the height of the trapezium be H = 9.4 feet
The shorter base of the trapezium a = 12 feet
The longer base of the trapezium b = 13.8 feet
Now , Area of Trapezoid = ( ( a + b ) h ) / 2
On simplifying the equation , we get
Area of Trapezium A = ( ( 13.8 + 12 ) 9.4 ) / 2
Area of Trapezium A = 121.26 feet²
Hence , the area of trapezium is 121.26 feet²
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You deposit $1500 in an account that earns a simple interest at an annual rate of 3%. How long must you leave the money in the account to earn $900 in interest?
9514 1404 393
Answer:
20 years
Step-by-step explanation:
The interest earned is found using the formula ...
I = Prt
where principal P is invested at rate r for t years. Solving for t, we find ...
t = I/(Pr) = $900/($1500×0.03) = 900/45
t = 20
You must leave the money in the account for 20 years to earn $900 in interest.
In the Tigers Football Club, there are 9 players to each coach, while in the Eagles Football Club, there are 17 players to every 2 coaches. If the total number of players and coaches in the two clubs is 232, how many players and coaches are in each club?
9514 1404 393
Answer:
Tigers: 8 coaches, 72 playersEagles: 16 coaches, 136 playersStep-by-step explanation:
We can define a "basic unit" of each team to be the minimum number of players and coaches that can have the given ratio. For the Tigers, that is 1 coach and 9 players, for a total of 10 team members. For the Eagles, that is 2 coaches and 17 players, for a total of 19 team members. If we have t basic units of Tigers and e basic units of Eagles, then we want ...
10t +19e = 232 . . . . . the total of players and coaches in the two clubs
We want t and e to be integers, so this is a Diophantine equation. It can be solved any of several ways, including use of the Extended Euclidean Algorithm. Here, we'll make some observations based on "number sense."
The value of e must be an even number between 0 and 232/19 = 12. The product of e and 19 must be a number that ends in 2, because 10t will end in 0, and the sum with 19e must end in 2.
The only multiple of 9 that ends in 2 is 9×8 = 72, so the value of e must be a positive number less than 12 that ends in 8. We must have e=8.
Then t=(232 -8×19)/10 = 8. This tells us there are 8 "basic units" of each team.
The Tigers have 8 coaches and 72 players.
The Eagles have 16 coaches and 136 players.
What is the area of a circle with a diameter of 8 meters? Use 3.14 for pi, nothing else. Express in pi term and number term.
The two answers you are looking for are 16π m² and 50.24 m².
Solution:
Finding the area of the circle,
First, knowing what the area of a circle formula is:
A=πr²
Since knowing that the radius is half the length of the diameter,
If the diameter is 8, then the radius must be 4.
A=π(4)²
A=16π m²
Now, you have the first answer. If you want to express it differently,
Using 3.14 as pi,
So, therefore,
A=16(3.14)
A=50.24 m²
So, now, we can conclude that the two answers you are looking for for the area of this circle are 16π m² and/or 50.24 m².
Answer:
16pi and 50.24 m squared
Step-by-step explanation:
Can someone help me thanks!
Answer:
If it goes to the left it becomes in the hundredths place meaning it decreases
Step-by-step explanation:
help me do this plz
Answer:
X= –10
[tex] \frac{1}{2} x - 5 = - 10 \\ \frac{1}{2} x = - 10 + 5 \\ \frac{1}{2} x = - 5 \\ x = - 5 \times 2 \\ x = - 10[/tex]
I hope I helped you^_^
(20 points) please help
Answer: The antonym of multiply is divide.
Answer:
Divide
Step-by-step explanation:
Antonym simply means the opposite of the given word.
So the opposite of multiplication is division thus division is the answer.
HOPE THIS HELPED
a square playground measures 2500 ft^2 what is the distance around the edge of the playground?
Answer:
20000
Step-by-step explanation:
please answer my question it's urgent
a = 16
Solution:common ratio = (-1/8)/(1/16)=-2a1 = 1/6
n=9
an = a1 (r n-1)a9 = a1
a9 = 1/16 (-2 9-1)
a9 = 1/16 (-28)
a9 = 1/16 (256)
a9 = 16
I hope this helps :)