Answer:
Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.
Step-by-step explanation:
En este caso, el cliente que adquiere una malteada de tres sabores distintos sigue el siguiente procedimiento:
1) El primer sabor sale de cualquiera de las 20 frutas disponibles.
2) El segundo sabor es distinto al primer sabor, es decir, que sale de las 19 frutas restantes.
3) El tercer sabor es distinto al primer sabor y al segundo sabor, es decir, que sale de las 18 frutas restantes.
Puesto que existe una doble conjunción y que puede importar el orden según la preferencia del cliente, se habla matemáticamente de una permutación, definida como:
[tex]n\mathbb{P}k = \frac{n!}{(n-k)!}[/tex] (1)
Donde:
[tex]n[/tex] - Número de sabores disponibles, adimensional.
[tex]k[/tex] - Número de sabores escogidos, adimensional.
Si tenemos que [tex]n = 20[/tex] y [tex]k = 3[/tex], entonces la cantidad de malteadas de tres sabores distintos es:
[tex]n\mathbb{P}k = \frac{20!}{(20-3)!}[/tex]
[tex]n\mathbb{P}k = \frac{20!}{17!}[/tex]
[tex]n\mathbb{P}k = 20\cdot 19\cdot 18[/tex]
[tex]n\mathbb{P}k = 6840[/tex]
Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.
In a unit circle, the radian measure of the central angle is equal to the length of the ______
A. Intercepted arc
B. Radius
C. Diameter
D. Circumference
Answer:
A. Intercepted arc.
Step-by-step explanation:
From Geometry we know that arc ([tex]s[/tex]), dimensionless, is measured by the following equation:
[tex]s = \theta \cdot r[/tex] (1)
Where:
[tex]\theta[/tex] - Central angle, measured in radians.
[tex]r[/tex] - Radius, dimensionless.
If the circle has a radius of 1. Then, we notice that arc is directly proportional to the central angle. Hence, the right answer is A.
1, 6, 36, 216, ...
Find the 10th term in the sequence using the explicit formula.
What is the solution to this equation?
2x +3 =X-4
Answer:
-7
Step-by-step explanation:
2x + 3 = x - 4
-3 = -3
2x = x - 7
-x -x
x = -7
If the given figure is rotated 180° around the origin? What are the new coordinates of point Z?
Answer:
(a,b) to (-a,-b)
Step-by-step explanation:
You can think of this as folding the paper horizontly and vertically, and see where the new point lies. You see that the x coordinate changes its sign when the paper folds vertically, and the y coordinate changes its sign when folded horizontally.
But in general, if you have point (a,b) and if you rotate it 180 degrees, you just switch the signs, and you will get (-a,-b).
Ex. (-6,5) rotates 180 degrees and becomes (6,-5)
Answer:
(6,-5)
Step-by-step explanation:
hello im ganna do fraccions what is 13\15 + 8\3 + 2\9 =
Answer:
3 34/45
Step-by-step explanation:
The common denominator of these is 45.
13/15 = 39/45
8/3 = 120/45
2/9 = 10/45
Add that up and that is 169/45
Simplify as a mixed number, and it would be 3 34/45
Answer:
169/45
Step-by-step explanation:
First lets do 13/15 + 8/3.
We can multiply 8/3 by 5 to both num and denom for a ration, with the denominator being 15: 40/15.
Then add 13/15 to 40/15 to get 53/15
Now multiply that by 3 to both num and denom to get 159/45. This is to get the least common factor with 9.
2/9 can be multiplied by 5 to both num and denom to get the least common factor with 15: 10/45
Now add 159/45 with 10/45 = 169/45
169/45 is the least it can be simplified so that is the answer.
Solve the system given:
y = -6
y = -2x - 2
A(-3,1)
B (-6,2)
C (1,3)
D (2,-6)
the answer to your question is:
D (2, -6)
i hope this was helpful ;)
Colbalt-60 has half-life of about 5 years, How many grams of a 300 g sample will remain after 20 years?
Answer:
After 20 years 18.75 gm of sample will remain.
Step-by-step explanation:
The half-life is the time it takes for any amount of Cobalt-60 to decay to half the starting amount.
20 years is 4 times the half-life of 5 years. So there would be
(300 g) / 2⁴ = 18.75 g
remaining after 20 years.
In other words, after 5 years, 300 g decays to 150 g.
After another 5 years (total 10 years), 150 g decays to 75 g.
After another 5 years (total 15 years), 75 g decays to 37.5 g.
After another 5 years (total 20 years), 37.5 g decays to 18.75 g.
A driver drives to school along the same routine Monday through Friday. There is one traffic light on her route . The probability that the light will be red is 65% . What is the probability that she will not have to stop at the light all next week?
Answer:
0.525%
Step-by-step explanation:
Since we are trying to find the probability of a sequence of events we simply need to multiply the probability of each of these events happening separately from one another. We are told that the probability that the light will be red is 65% that means that the probability that it will be green and that the driver will not need to stop is 35%. This probability remains the same every day of the week. Therefore we need to multiply this probability 5 times, one time for each weekday Monday through Friday, but first we need to turn this percentage into a decimal form by dividing it by 100...
35% / 100 = 0.35
0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.00525 ...multiply by 100 to get percentage
0.00525 * 100 = 0.525%
Finally, we can see that the probability that she will not have to stop at the light all next week is 0.525%
please really need help anyone
Answer:
A = $5183.36
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested rather than paying it out. Interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Abdul deposited P=$4000 into an account with r=2.6% = 0.026 compounded quarterly. Since there are 4 quarters in a year, n=4. We are required to calculate the amount in the account after t=10 years.
Applying the formula:
[tex]{\displaystyle A=4000\left(1+{\frac {0.026}{4}}\right)^{4*10}}[/tex]
[tex]{\displaystyle A=4000\left(1.0065\right)^{40}}[/tex]
A = $5183.36
answer by sunday plz!!
Answer:
y=3*x
Step-by-step explanation:
john bought 3 notebooks for 9 dollars
so 9/3=3
notebooks costed 3 dollars each
x-number of notebooks
y-cost of notebooks
so
y=3*x
because 3 dollar cost every notebook you could buy.
if i buy 2 notebooks
so x=2
y=3*2=6 dollars
if I buy 3 notebooks
then y=3*3=9 dollars
end this way continues
are the ratio 2:1 and 11:10 equivalent
Answer:
No because they aren’t similar
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
You can't mutlipy 2 by anything to get 11.
struggling on getting my brain to understand how this works I HATE MATH
Draw a rectangle with dimensions that are a third of the rectangle below. Label the sides lengths of your new rectangle.
HELP PLEASE!!
After dilation the new dimensions of the rectangle is drawn and shown in the image attached below.
What is Dilation?Dilation simply refers to the enlargement or reduction of the size of an image.
When an image is enlarge, the original size of the image increases, while when it is reduced, the new image formed will have a size that is smaller than the original image.
To dilate an image, a scale factor is used. If the scale factor is less than 0, it is a reduction, if it is more than 0, it is an enlargement.
To get the length of the sides of the new image, multiply the length of each side of the original image by the scale factor.
In the diagram given, we have the following:
Length of original image = 12 units
Width of original image = 9 units
To create a third of the rectangle given, it means the scale factor for the dilation is 1/3.
Length of new rectangle = 12 units × 1/3 = 4 units
Width of new rectangle = 9 units × 1/3 = 3 units
Thus, after dilation the new dimensions of the rectangle is drawn and shown in the image attached below.
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Can you please help me find FH
Answer:
is fh not 4x-25
Step-by-step explanation:
108 is one interior angle of a regular
Answer:
There are 108° in each interior angle of a regular pentagon. This process can be generalized into a formula for finding each interior angle of a REGULAR polygon Each interior angle of a “regular” polygon is given by where n = the number of sides in the polygon.
Step-by-step explanation:
Find the value of 4x-4 given that - 3x +7=4.
ASAP!! madeline invested $2,800 in an account paying an interest rate of 4.4% compounded annually. assuming no deposits or withdrawals are made, how long would it take to the nearest tenth of a year for the value of the account to reach $6,100?
Answer:
18.1
Step-by-step explanation:
What is the solution to the system of equations
shown on the right?
0 (0, -4)
0 (3,-2)
O (2,0)
(4, -12)
Answer:
(3,-2)
Step-by-step explanation:
Got it right!!
Answer:
b.
Step-by-step explanation:
b-cuz i said so.
What is the least common multiple of the two denominators?
6/8 and 4/32
-8
-32
-12
-18
Answer:
32
Step-by-step explanation:
32 × 1 = 32
8 × 4 = 32
Therefore, the LCM is 32
Leah scored 13 points the first half of the basketball game, and she scored x points in the second half of the game. Write an expression to determine the number of points she scored in all. Then, find the number of points she scored in all if she scored 3 points in the second half of the game.
Answer: Expression: 13+x
Answer if she scored 3 in the second half=16
Step-by-step explanation:
Since she scored 13 points in the first half and X amount in the second, it's asking for the total number. Since X is unknown, it's simply 13+x. Then, they say X=3. Now plug 3 in for X and solve.
ie: 13+3
identifying values in the domain
h(x)=x-4
determine for each x value whether it is in the domain of h or not
Answer:
-4 0 4
Step-by-step explanation:
Answer:there all in the domain
Step-by-step explanation:
The Cellular connection charges $60 for a phone and $29 per month under its economy plan. Write an equation that can be used to determine the total cost, c of operating a Cellular connection phone for t months. Then, find the total cost for 6 months
The equation for total cost will be c = 60 + 29t and the total cost for 6 months will be $234.
It is given that charge of cellular connection for a phone is $60 and Economy plan is of $29 per month.
We have to find out the equation for total cost and the value of total cost for 6 months.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , multiplication , etc.
As per the question ;
Charge of cellular connection for a phone = $60
and
Economy plan of cellular connection = $29 per month
Let's assume c be total cost , t be no. of months.
So ;
The economy plan charges for t months will be ;
= 29 × t
and
The equation for total cost (c) will be ;
c = 60 + 29t
Also ;
The total cost for t = 6 months will be ;
c = 60 + 29 × 6
c = 60 + 174
c = $234
Thus , the equation for total cost will be c = 60 + 29t and the total cost for 6 months will be $234.
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2.
What does the word term mean in an Arithmetic Sequence?
Answer:
It means to give an in depth sentance
Step-by-step explanation:
Answer:
Step-by-step explanation:
I will give u ex to be more clear
3, 6, 9, 12
here 3 is the first term
9 is the second term
and so on
hope this helps
8x^3 =(−2x)(A) help me plz
Answer:
x = 0
Step-by-step explanation:
What is the slope of the line that passes through the points (9,-18) and (12,-24)
Answer:
-3 OR -6 / 3
Step-by-step explanation:
-24 - (-18) = -6
12 - 9 = 3
-6 / 3
Can be simplified down to -3
If tomorrow is the 4th of June, what day will it be three days from today
Answer:
6th of June or June 6th
Step-by-step explanation:
That means today will the 3rd of June because tomorrow is the 4th of June. That means in three days, it will be the 6th of June.
OKAY THIS I NEED IT DONE FAST PLSSSA scale drawing of an ant uses a scale of 1
centimeter = 1,5 millimeters. If the actual ant
is 5 mllimeters long, find the length of the ant
on the drawing,
Answer: 3.33 centimeters
Step-by-step explanation:
From the question, we are informed that the scale drawing of an ant is given as:
1 centimeter = 1.5 millimeters
If the actual ant is 5 mllimeters long, the length of the ant on the drawing would be calculated as:
= 5 / 1.5
= 3.33 centimeter
Answer:
3.33
Step-by-step explanation:
What is the sale price on an item that is $50 with a 54% markdown?
The sales price on an item that is $50 with a 54% markdown is $23
How to determine the sale price on an item that is $50 with a 54% markdown?The given parameters are
Item price = $50
Markdown = 54%
The sales price on an item that is $50 with a 54% markdown is calculated as
Sales price = Item price * (1 - Markdown)
So, we have
Sales price = 50 * (1 - 54%)
Evaluate
Sales price = 23
Hence, the sales price on an item that is $50 with a 54% markdown is $23
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Pls help pls
10 points!!!!!
I’ll mark as brainlest
Answer:
See explanation
Step-by-step explanation:
9) B
Larallel lines hav ethe same slope as each other.
Pat has a fever.His temperature is 99.3F. If the conversation is Celsius is C=5/9(F-32), what is the most accurate measurement of Pat’s temperature in degrees Celsius?
Answer:
37.4
Step-by-step explanation:
The most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.
Given that, Pat has a fever of temperature is 99.3° F.
What is the conversion of Celsius to Fahrenheit?Celsius to Fahrenheit is the conversion of temperature from Celsius unit to Fahrenheit unit. Temperature scales provide a way of measuring how hot or cold a body is. Fahrenheit and Celsius are temperature scales.
The formula to convert Celsius to Fahrenheit is given by: °F = °C × (9/5) + 32.
The formula to convert Fahrenheit to Celsius is C=5/9(F-32)
Now, C= 5/9 (99.3-32)
= 5/9 × 67.3
= 37.39°
Hence, the most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.
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