Tan x = opposite side / adjacent side
Where :
x = angle
So:
Tan C = 35/ 12
Delaney gave her nail technician a $4.50 tip. The tip was 5% of the cost of the manicure. Write an equation to find b, the cost of the manicure.
If all percents are expressed as decimals, the equation can be used to find b, the cost of the manicure.
(Use the operation symbols in the math palette as needed. Type an equation. Use whole numbers or decimals for any numbers in the equation. Do not simplify.)
Help me solve this
View an example Get more help.
The cost of the manicure (b) is,
⇒ b = $4.275
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Delaney gave her nail technician a $4.50 tip.
And, The tip was 5% of the cost of the manicure.
Now, Let the cost of the manicure = b
Hence, We get;
⇒ b = $4.50 - 5% of 4.50
⇒ b = 4.50 - 5/100 × 4.50
⇒ b = 4.50 - 5 × 0.045
⇒ b = 4.50 - 0.225
⇒ b = $4.275
Thus, The cost of the manicure (b) is,
⇒ b = $4.275
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The triangles are congruent by what rule?
SAS
SSA
Not congruent
AAS
Answer: SAS
Step-by-step explanation:
4(3x+2)−7x= ajuda rapido
Answer:
Step-by-step explanation:
primero distrubuyas el cuatro a los dos numeros dentro del parentesis que lego se hace 12x+8-7x, combinas numeros similares para simplificar
"12x-7x=5x" haci que 4(3x+2)-7x= 5x+8
Expand the function.
f(x) = (3x-4)4
81x4 − 432x³ + [? ]x²
+
-
X +
PLS HELP
The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)
To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:
\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)
where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).
Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:
\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)
Simplifying each term, we get:
\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)
Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).
Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.
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Note the complete question is
I need help please help me out
Answer:
2821
Step-by-step explanation:
Uhm.. sorry if its wrong i'm not completely sure about it :/
Chris Butcher earns $21,423 per year. His
personal exemptions include himself, his
wife, and their son. The state tax rate in
his state is 4.5 percent of taxable income.
What amount is withheld yearly for state
income tax?
Answer:
Step-by-step explanation:
Plus help if u can ❤️❤️
Answer:
0
Step-by-step explanation:
Please answer this correctly
Answer:
Look at the money bags below!!! (but I'll give you the answer)
Step-by-step explanation:
John F: 7 full bags - 1 half
Juan A: 9 full bags
Jason A: 3 full bags
Nick J: 3 full bags- 1 half
Alfonso S: 8 full bags
Hope this helped and wasn't confusing!!! xx - Asia
Factor 16a + 72 to find the equivalent expression
Answer:
\(=8\left(2a+9\right)\)
Step-by-step explanation:
\(16a+72\)
\(\mathrm{Rewrite\:}16\mathrm{\:as\:}8\cdot \:2\)
\(\mathrm{Rewrite\:}72\mathrm{\:as\:}8\cdot \:9\)
\(=8\cdot \:2a+8\cdot \:9\)
\(\mathrm{Factor\:out\:common\:term\:}8\)
\(=8\left(2a+9\right)\)
Hence, the correct answer is \(=8\left(2a+9\right)\)
Answer:
8(2a+9)
Step-by-step explanation:
Hope this helps
There are 125 people on a mountain trail. If 55 people on the trail are children, what percentage of the people on the trail are children?
Answer:
44%
Step-by-step explanation:
.44 x 125 equals 55 n
Answer:
The percentage of people who were children = 44%
Step-by-step explanation:
Total people = 125Children on the trail = 55We need to determine the percentage of the people on the trail who are children.
All we need is to divide 55 by the total number of people i.e. 125 and then multiply the result by 100.so
Children percentage = 55 / 125 × 100
= 0.44 × 100
= 44%
Therefore, the percentage of people who were children = 44%
1.Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation?
A.Making pancakes more often is associated with flipping pancakes more often.
B.Having cereal for breakfast more often is associated with having more bowls to wash.
C.Frying eggs more often is associated with cooking bacon more often.
2.Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation?
A.Owning more horses is associated with having a larger stable.
B.Owning more goats is associated with owning more sheep.
C.Owning more chickens is associated with having more eggs.
Having cereal for breakfast more often is associated with having more bowls to wash, which is the relationship that most likely reflects correlation but not causation.
What does a correlation means?Correlation means that there is a statistical relationship between two variables, but it doesn't necessarily mean that one variable is causing the other to occur.
In this case, it's possible that people who eat cereal for breakfast simply prefer to use more bowls or have more bowls available to them, rather than the act of eating cereal causing them to use more bowls. Therefore, this relationship reflects correlation but not causation. In contrast, the other two relationships in the options could be argued to reflect causation.
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your shift runs 8 hours. from the 8 hours, 30 minutes is allowed for lunch and 30 minutes for breaks. you must produce 78.0 units per shift. give the takt time in minutes.
The stated statement indicates that the takt time is 5.38 minutes for each section.
What is an example of takt time?Takt time is calculated as the amount of manufacturing time that is available divided by the volume of orders. Takt time, for instance, is two minutes if a factory makes widgets for 480 minutes a day and clients need 240 widgets per day. Similar to this, the takt time is one week if clients desire two new goods per month.
How does takt time change?Takt time depends on client demand and the amount of time that is available, and for many items, it is always changing as the demand from the market shifts. Takt time is unaffected by system changes, although cycle time is affected.
Briefing:Available hours are 7 * 60 minutes, which is 420 minutes.
No. of parts = 78 units
Available time for work / No of parts = Takt time
= 420/ 78
= 5.38 minutes per part
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cash price 550 000
installment 4500 per month
repayment term 240 months
determine the amount to be paid if the installment option is used?
Answer:
549 000
Step-by-step explanation:
4500×122 months=549 000
Robin dropped a lacrosse ball from a building. After each bounce the height of the ball is measured and recorded in the table. What is the height of the ball after bounce 7?
Answer:
2.5 cm
Step-by-step explanation:
From the first 4 bounces, we find that the height of the lacrosse ball after each bounce is 1/4 the height that it was after the previous bounce. Therefore, since the 7th bounce is 6 bounces after the first bounce, we can set up an equation to find the balls height (y), after some number of bounces after the first one:
\(y=10240*(\frac{1}{4})^x\).
Plug-in 6 for x to get 2.5.
Hope this helps :)
0.9t
t² + 64
Find the time
The concentration of a drug t hours after being injected is given by C(t) =
when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.
hours.
Calculator
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Whenever Deven and Laura owe each other money, they "pay" each other using stickers. They've agreed that a Harry Potter sticker is worth 49 dollars and a Twilight sticker is worth 35 dollars. They can even use stickers as "change" if one person overpays the other. For example, if Deven owes Laura 189 dollars, he can give her 6 Harry Potter stickers ($6 \cdot 49 = 294$ dollars), and she can return 3 Twilight stickers ($3 \cdot 35 = 105$ dollars). This trade is like a transfer of $294-105=189$ dollars. What is the smallest positive debt, in dollars, that can be paid off using sticker trading?
The smallest positive debt that can be paid off using sticker trading is $7$ dollars.
To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.
Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.
The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.
In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.
Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.
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Help me please I beg
As far as I understand A)
Pre
An outdoor art display is a metal cube with edge length 66 feet. What is the volume of the cube in
cubic feet?
In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠PRQ ≅ ___ A. ∠SRT B. ∠RST C. ∠STR D. ∠T
The complete statement is ∠PRQ ≅ ∠SRT. The correction option is A. ∠SRT
Similar trianglesFrom the question, we are to complete the given statement
From the given information,
We have that ΔPQR ≅ ΔSTR
This means ΔPQR is congruent to ΔSTR
Then,
∠PQR ≅ ∠STR
∠PRQ ≅ ∠SRT
∠QPR ≅ ∠TSR
Hence, the complete statement is ∠PRQ ≅ ∠SRT. The correction option is A. ∠SRT
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point G(6,-2) is translated using the rule (x,y) -> (x-4, y+7).
what is the x-coordinate of G
what is the y-coordinate of G
IT MEANS THAT THE X COORDINATE CHANGED BY -4
\(x = 6 - 4 \\ x = 2\)
THE NEW COORDINATE OF X IS 2
AND THE Y COORDINATE CHANGED BY +7
\(y = - 2 + 7 \\ y = 5\)
THE NEW COORDINATE OF Y IS 5
(2,5)
ATTACHED IS THE SOLUTION
P=x-2 ÷ x+1 for whar value of x is P equal to zero
Answer:
x = 2
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
P will equal zero when the numerator is equal to zero , that is
x - 2 = 0 ( add 2 to both sides )
x = 2
P = 0 when x = 2
What time is it?
Everyone who answers gets a thanks.
And a random person will get brainlyest!!!!
Answer:
15:57
Step-by-step explanation:
in Nigeria Africa
Find the amount that results from the given investment.
$600 invested at 6% compounded quarterly after a period of 4 years
After 4 years, the investment results in $.
(Round to the nearest cent as needed.)
We can tell that the investment results after 4 years will be $761 with the help of compound interest.
What is compounding?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it so that interest is generated the next period on the principal amount plus any accumulated interest.
In finance and economics, compound interest is common.
So, we have an initial investment of %600.
And the interest is 6% which will be compounded quarterly for 4 years.
Then the amount we will receive after 4 years is:
(Refer to the table attached below)
So, the amount we will get after 4 years is $761.39.
Rounding off: $761
Therefore, we can tell that the investment results after 4 years will be $761 with the help of compound interest.
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A beetle was running along a number line...The the bug ran from 13 to 57. What distance did it cover?If it took the bug 5 seconds, what was its average speed?
Answer:
8.8
Step-by-step explanation:
57-13=44
so the distance is 44 considering that it's on a number line.
Average speed = distance ÷ Time
44÷5=8.8
The maximum distance from Earth to everyone's favorit dwarf planet, Pluto, is billion kilometers (7,500,000,000)If a ship reaches the speed of 40,500 kilometers per hour and maintains itho ng would it take to reach Pluto? Convert your answer to years
The time taken to reach Pluto will be 21.14 years.
How to calculate the time?Distance from Pluto to earth is given - 7,500,000,000km
Speed of ship= 40,500km/hr
Since 1 yr = 365 days= 365×24=8760 hrs.
Distance traveled by ship in 1 yr = 40500 ×8760 =354,780,000km
Time= 7,500,000,000/ 354,780,000=21.1398=21.14 years
Hence the ship would take 21.14 years to reach Pluto.
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1+1 = 1 quick maths boring
Answer:
free points pog
Step-by-step explanation:
have a good one my guy
Answer:
he is correct because if you add one to one you get yellow. then you have to add yellow to the monkey that opened the door. the door then breaks down and the astronaut lands
Step-by-step explanation:
big brain
A. 950
B. 38
C. 30
D. 25
Answer:
C
Step-by-step explanation:
because i did it in school and got it correct sorry if im wrong any way
Area of Rectangles
Best answer marks branlist!
Answer:
rectangle above = 3 x 5 = 15 cm²
rectangle below = 8 x 5 = 40 cm²
Is r = 6 a solution to the inequality below? 10 < r
Answer:
No
Step-by-step explanation:
10 is not less than 6, so 10 < r when r=6 is not true.
1.BhEvaluate the formula V =3O 9.6 in.³O 288 in. 3332 in.O 96 in.3for B = 9 in.² and h = 32 in.
Given -
B = 9 in²
h = 32 in
To Find -
Evaluate the formula (V) =?
Step-by-Step Explanation -
As we are given
\(V\text{ = }\frac{Bh}{3}\)Simply putting the values in the above formula:
\(V\text{ = }\frac{9\times32}{3}\text{ = 3}\times32\text{ = 96 in}^3\)Final Answer -
Option D. 96 in³