Answer:
n = 118
Step-by-step explanation:
Add 18 to both sides of the equation:
n = 100 + 18n = 100 + 18
Add 100 and 18.
n = 118
A candelabra holds 5 identical cylindrical
candles, each with a diameter of 6 centimeters
and a height of 9 centimeters. How many cubic
centimeters of wax are in all the candles on the
candelabra combined?
Write the equation of a line that goes through the points (4, 8) and (-8, 2)
show work i will appreciate it
A pet store has 9 puppies, including 2 poodles, 5 terriers, and 2 retrievers. If Rebecka selects one puppy at random, the pet store replaces the puppy with a puppy of the same breed, then Aaron chooses a puppy at random. Find the probability that they both select a poodle.
Probability that both Rebecka and Aaron select poodles is 4/81
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
A pet store has 9 puppies.
includes 2 poodles, 5 terriers, and 2 retrievers.
Rebecka selects one puppy at random.
The probability of selection one pet from store is 1/9
After Rebecka selects one puppy at random pet store replaces the puppy with a puppy of the same breede. Now store has same number of pets.
Aaron chooses a puppy at random.
The probability of Aaron selecting a pet is 1/9.
As they both selects a poodle,
Rebecka : Probability of selection one poodle from store is 2/9
Aaron: Probability of selection one poodle from store is 2/9
The probability that both Rebecka and Aaron select poodles is 2/9 × 2/9 = 4/81
Hence probability that both Rebecka and Aaron select poodles is 4/81
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solve the linear system
Eq 1: 2x -4y = -2, Eq 2: 3x + y =4
Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
2x - 4y = - 2 → (1)
3x + y = 4 → (2)
Multiplying (2) by 4 and adding the result to (1) will eliminate the y- term
12x + 4y = 16 → (3)
Add (1) and (3) term by term to eliminate y
14x + 0 = 14
14x = 14 ( divide both sides by 14 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
3(1) + y = 4
3 + y = 4 ( subtract 3 from both sides )
y = 1
solution is (1, 1 )
1.) The check number on a check:
A.) identifies the bank and is located at the bottom left corner of the check.
B.) identifies the bank and is located at the top right corner of the check.
C.) identifies the transaction and is located at the bottom left corner of the check.
D.) identifies the transaction and is located at the top right corner of the check.
E.) None of these choices are correct.
Answer:
D) Identifies the transaction and is located at the top right corner of the check
Step-by-step explanation:
The check number on a check is the number located at the top right corner of the check, and it can also be found at the bottom of the check, located in lower right corner after the routing number and the account number
The check number aids in the tracking and identifying bank transactions such as to identify checks that the bank has processed and to know outstanding checks that are yet to be processed.
The check number also aids in balancing of the checkbook.
Therefore, the check number on a check identifies the transactions and is located at the top right corner of the check.
A regular polygon is a polygon with blank sides and angles
please help me
no links please and thank you :)
Answer: y=5/3x-4
Step-by-step explanation:
Hi, you could find the slope with any 2 points on the line. For accuracy, I will choose the points (6, 6) and (0, -4), meaning when x =6, y=6, and when x=0, y=-4. Then you can set up an equation. Because the line on this graph is linear (meaning straight), the form of the equation would be y=ax+b. (If it was a parabola, it would be y=ax^2+bx+c).
y=mx+b (Or some people prefer y=ax+b, but the same thing).
Now, plug in the x and y values, getting:
6 = 6m+b and -4=0*m+b
When you simplify, you will get that b is -4, and then m is 5/3
So the equation is y=5/3x-4
You can plug the numbers of x and y in to check your answer.
Hope this helps!
The equation y = (-16t – 2)(t-1) represents the height in feet of a beach ball thrown by a child as a function of time, `t`, in seconds.
from What height is the beach ball thrown? explain or show your reasoning
2 ft
Step-by-step explanation:
The height from which the beach ball was thrown happens when t = 0. So setting t = 0 to get y, we get
y = [-16(0) - 2](0 - 1)
= (-2)(-1)
= 2 ft
Therefore, the ball was thrown from a height of 2 ft.
PLSSSSS I REALLY NEED HELP AND THID IS DUE SOON. AND PLS NO LINKS
A cone has a volume of 36π cm3 and height h. Complete this table for volume of cylinders with the same radius but different heights. Enter an exact answer using the symbol π Type the answers in the boxes below
Find the derivative of
[tex] y = \sqrt[3]{x} [/tex]
at the point where x = 27.
Answer:
[tex]\displaystyle y'(27) = \frac{1}{27}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
y = ∛x
x = 27
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = x^{\frac{1}{3}}[/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{3}x^{\frac{1}{3} - 1}[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{3}x^{-\frac{2}{3}}[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{3x^{\frac{2}{3}}}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle y'(27) = \frac{1}{3(27)^{\frac{2}{3}}}[/tex]Evaluate exponents: [tex]\displaystyle y'(27) = \frac{1}{3(9)}[/tex]Multiply: [tex]\displaystyle y'(27) = \frac{1}{27}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
help asap pleaseeeee :))))))
Answer:
Step-by-step explanation:
At a police checkpoint for drunk drivers, some cars are stopped at random; many others are not stopped. The cars that are stopped may be considered a _____ of all the cars that pass by the checkpoint.
Answer:
sample
or spot check
Step-by-step explanation:
there are quite a number of different terms that can be used depending on the specific scientific field you are working in.
but "sample" should be the most common one for a random selection of a subset of the whole set.
help pls i can give brainliest?
Identify the solution to the system of equations.
• Use whichever method you prefer (the area model or the distributive property)
Answer: 2a^2+22a+−1
Step-by-step explanation:
Let's simplify step-by-step.
2a^2−5a+(9)(3)a−1
=2a^2+−5a+27a+−1
Combine Like Terms:
=2a^2+−5a+27a+−1
=(2a^2)+(−5a+27a)+(−1)
=2a^2+22a+−1
what is the measure, in degree, of angle z ?
Answer:
55°
Step-by-step explanation:
if the middle is straight, then x+35°=90°
A data set is Normally distributed with a mean of 25 and a standard deviation of 8. If you calculate the standard score of every observation in this data set, the resulting scores will have a distribution that has
Answer:
The answer is "A mean of 0 and a standard deviation of 1".
Step-by-step explanation:
The standard answer of its following formula is calculated by:
[tex]\to z=\frac{X-\mu}{\sigma}[/tex]
Its standard score relates to the sampling distribution with the normal distribution average standard variation of 0 and 1, correspondingly. The mean for a standard scoring is 0, and the normal deviation is 1. that's why the mean=0, standard deviation=1.
Simplify;
(√3 + √2) (√3 + √2)
Answer:
5 + 2√6 or 9.898979
Step-by-step explanation:
(√3 + √2) (√3 + √2)
= 5 + 2√6
decimal = 9.898979
Answer:
I’ll put a picture because I can’t like write down the answer…. So yeah.
Step-by-step explanation:
1) expand expression: (sqrt3 + sqrt2)^2
Then calculate: 3 + 2sqrt6 + 2
Andddd: 5 + 2sqrt6
* sqrt: square root
I hope this helps! Good luck :)
a jug contains 2 gallons of water how many quarts of water does the jug contain
Answer:
8 quarts, in 2 gallons
Step-by-step explanation:
A square has a perimeter of 49 inches. What is the area of the square?
Answer:
150.06 in²Step-by-step explanation:
Hopes this helps. Mark as brainlest plz!Cuál es el monto producido por S/ 80 000 durante 2 años 6 meses, si la tasa es de 16% anual compuesto trimestralmente? *
Answer:
118419,54
Step-by-step explanation:
Primero, convierta R como porcentaje en r como decimal
r = R / 100
r = 16/100
r = tasa de 0,16 por año,
Luego resuelve la ecuación para A
A = P (1 + r / n) ^ nt
A = Cantidad =?
P = Principal = 80000
R = 16%
n = Compuesto trimestralmente = 4
t = tiempo en años
= 2 años y 6 meses
12 meses = 1 año
6 meses = x
x = 6/12 = 0,5
t = 2.5 años
A = 80000,00 (1 + 0,16 / 4) (4) ^ (2,5)
A = 80000,00 (1 + 0,04)^ (10)
A = $ 118419,54
if a, b, c, and d represent positive real numbers, what is the inequality when solved for x?
The inequality equation is x ≥ ( by - c - d ) / a
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
by - d ≤ ax + c be equation (1)
On simplifying the equation , we get
Subtracting c on both sides of the equation , we get
by - d - c ≤ ax
And , ax ≥ by - d - c
Divide by a on both sides of the equation , we get
x ≥ ( by - c - d ) / 2
Hence , the inequality is x ≥ ( by - c - d ) / a
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a regular sheet of letter (printing) paper measrues 8.5 inches by 11 inches. you want to cut out squares from each corner that it may be folded up to produce an open - top box. What are the dimensions of the square cut outs that will result in a box of maximum volume
Answer:
The dimensions of the square, that will result in a box of maximum volume is a square with side length of approximately 1.585 inches
Step-by-step explanation:
The given dimension of the steel sheet are;
The width = 8.5 inches
The length = 11 inches
Let 'x' represent the side length of the squares cut out, we have;
The length of the box formed, l = 11 - 2·x
The width of the box formed, w = 8.5 - 2·x
The height of the box, h = x
The volume of the box, V = (11 - 2·x) × (8.5 - 2·x) × (x) = 4·x³ - 39·x² + 93.5·x
The maximum or minimum volume is found from dV/dx = 0 at max. or min.
dV/dx = d(4·x³ - 39·x² + 93.5·x)/dx = 12·x² - 78·x + 93.5 = 0
Which gives;
x = (78 ± √((-78)² - 4×12×93.5))/(2 ×12)
x = 4.915 or 1.585
When x = 4.915, V = 4 × 4.915³ - 39 × 4.915² + 93.5 × 4.915 = -7.65
When x = 1.585, V = 4 × 1.585³ - 39 × 1.585² + 93.5 × 1.585 = 66.15
Therefore, the local maximum occurs at x ≈ 1.585
Therefore, the dimensions of the square, 'x' that will result in a box of maximum volume is x ≈ 1.585 inches.
if 5cosA =4 wat is CosA
Answer:
4/5
Step-by-step explanation:
5cosA=4
divide both sides by 5
cosA=4/5
Sam saves $500 at a rate of 4%. What is the total amount of money she has after 20 years?
Answer:
$10,400
Step-by-step explanation:
Which polynomial represents (3x2 + x - 4)(2x - 5)?
A.6x3 + 13x2 + 3x - 20
B.6x3 - 13x2 - 13x + 20
C.6x3 + 13x2 + 3x + 20
D6x3 - 13x2 - 13x - 20
The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.
here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]
Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.
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DE is a midsegment of ABC . Find the value of x.
Answer:
Its 13
Step-by-step explanation:
Good luck
I really DONT know what’s function
Answer:
its basically the relationship between sets of numbers. the anwser is D if the line on the graph is curved it is a function and if the number repeat on the x value it is a function.
-by-step explanation:
how to solve the median
Answer:
1.) Set the data set in the ascending order
2.) Start cancelling out numbers each side, like if u cancel out the first number, then cancel out the last as well.
3.) Keep doing the step 2 until u reach the middle most number.
4.) Sometimes there are 2 middle numbers left, in that case find their average (add both numbers together and divide the sum by 2) which would be ur middle most number.
Hope this helps!
help please please really help me
To do the following I first listed the numbers from least to greatest
mean: (also known as average) is 7 just add all the numbers together and divide by the amount of numbers there are which is 77/11
median: 5 it's the middle number (5, 5, 6)
mode: 2 the number that appears the most
range: 16 difference between the highest value and the lowest (18-2)
quartile 1: 2 median of the lower half
quartile 3: 9 median of the upper half
interquartile range: 7 (Q3-Q1)
hope this helped :)
Jay organised a large wedding and 1/3 of them chose beef 5/12 of them chose Chicken and 69 of them chose vegetarian so how many guest were at the wedding ?
Answer:
276 Guests
Step-by-step explanation:
Calculation to determine how many guest were at the wedding
Guests that choose beef =1/3
Guests that choose chicken= 5/12
Guests that choose vegetarian=69
Now let calculate the how many guest were at the wedding
Let x represent the numbers of guest that were present at the wedding
Hence,
x/3 + 5x/12 + 69 = x
9x/12 + 69 = x
12x/12 - 9x/12 = 69
3x/12 = 69
x/4 = 69
x=69*4
x = 276 guests
Therefore the numbers of guests that were at the wedding is 276
Answer: 276
Step-by-step explanation: Let “x” be the number of guest.
1/3 x +5/12x + 69 = x Simplifying and solving for x … where x = 276
1/3(276) + 5/12(276) + 69 = 276
92 + 115 + 69 = 276