Answer:
La respuesta es D. 24
Step-by-step explanation:
Falta el esquema. Lo adjunto en la resolución de la pregunta.
En el esquema se puede ver que hay 3 maneras de ir desde la ciudad A a la ciudad B, 4 maneras de ir desde la ciudad B hacia la ciudad C y finalmente 2 maneras de ir desde la ciudad C hacia la ciudad D.
Necesitamos saber por cuántas rutas se podría ir si se desea viajar desde la ciudad A a la ciudad D.
Utilizaremos el principio de multiplicación para responder a ésta pregunta ⇒
Supongamos que estamos realizando un experimento [tex]N[/tex] el cuál está conformado por una serie de sub - experimentos [tex]m_{1},m_{2},...,m_{n}[/tex].
Ahora, cada uno de estos sub - experimentos se puede desarrollar de [tex]n_{1},n_{2},...,n_{n}[/tex] maneras diferentes respectivamente. Entonces, el número total de maneras diferentes en las que el experimento [tex]N[/tex] se puede llevar a cabo se calcula como [tex]n_{1}[/tex] x [tex]n_{2}[/tex] x . . . x [tex]n_{n}[/tex]
Ahora bien, siguiendo con ésta idea escribimos :
3 x 4 x 2 = 24
''3'' porque es el número de rutas distintas para ir de A hacia B
''4'' porque es el número de rutas distintas para ir de B hacia C
Y finalmente ''2'' porque es el número de rutas para ir desde C hacia D
Si hacemos éste producto el resultado es 24 y por lo tanto la opción correcta es D. 24
2. Shown is the graph of y = f(x). Draw the graph of g(x) = -f(x).
у
Answer:
Step-by-step explanation: add Y to the X and then add -f to X Y and you will get the answers
Add Y to X 2.Get your answer and dived that by -f and u will get you answerAfter 4 days, a plant is measured to be 10 inches tall. Later, after a total of 20 days, then height is measured to be 18 inches. What is the rate of growth for the plant? This is supposed to be for slopes in Algebra 1.
Given :
After 4 days, a plant is measured to be 10 inches tall.
Later, after a total of 20 days, then height is measured to be 18 inches.
To Find :
The rate of growth for the plant.
Solution :
We know, rate is given by :
[tex]Rat e=\dfrac{\text{Change in height}}{\text{Time taken}}\\\\Rate = \dfrac{18-10}{20-4}\\\\Rate = 0.5 \ inch/day[/tex]
Therefore, rate of increase of height is 0.5 inch/day .
Hence, this is the required solution.
Suppose you estimated square root of 12 by averaging a square like rectngle.What would be a reasonable estimation?
Answer:
3.5.
Step-by-step explanation:
3^2 = 9
and 4^2 = 16 so the square root is between 3 and 4.
Take a rectangle 3.4 by 3.6:
the area = 3.4 * 3.6 = 12.24 so an estimate of the square root could be 3.5.
3.5 * 3.5 = 12.25.
The area of Australia is 2.95 × 106 square miles. What is the approximate average number of people per square mile in Australia? Round to the nearest person
Answer:
9 people per square mile
Step-by-step explanation:
Given that:
Area of Australia = 2.95 * 10^6 mi²
Approximate average Number of people per square mile :
This can be obtained by taking the proportion of the population of Australia and the Area of the land mass
Approximate population of Australia : 25,499,884 ( data obtained from internet)
Average number of people per square mile :
Approximate population / Land Area
25,499,884 / 2.95 * 10^6
= 8.6440284
Hence, there will be approximately 9 people per square mile.
A family has completed 50% of a trip and they have traveled 10 miles. How long is the trip?
The information is in the picture PLEASE HELP ME
Answer:
The answer is C
Step-by-step explanation:
n^3+4n = 4n+5
n^3+4n + 4n+5
n^3+8n+5
6x-3x+4-2x= to what no solution, One solution and Infinitely Many Solutions
Answer:
One Solution: x = - 4
Step-by-step explanation:
Step 1:
6x - 3x + 4 - 2x = 0 Equation
Step 2:
3x + 4 - 2x = 0 Combine Like Terms
Step 3:
x + 4 = 0 Combine Like Terms
Answer:
x = - 4 Subtract 4 on both sides
Hope This Helps :)
Based on all of these experiments, what is the maximum height for these plants at 12 weeks?
25 inches
17 inches
23 inches
15 inches
Answer:
25 inches
Step-by-step explanation:
Find the angle measures. Justify your responses/
Given: a//b,, m3= 63 degrees.
Find: m6, m7
Answer:
Step-by-step explanation:
m<3=m<7=63
m<6+m<7=180
m<6=180-63
m<6=117
m<7=63
m<6=117
The measurement for ∠6 and ∠7 will be 63° and 117° respectively.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
As we know the alternate opposite angle of the parallel lines are equal;
∠3 and ∠7 are alternate opposite angles;
So that;
m∠3=m∠7=63°
The sum of the complementary angle is 180°.∠6 and ∠7 are complementary angle
m∠6+m∠7=180
m∠6=180°-63°
m∠6=117
Substitute the value to get ∠7
m∠7=63°
m∠6=117°
Hence the measurement for ∠6 and ∠7 will be 63° and 117°.
To learn more about the angle measurement, refer to the link;
https://brainly.com/question/14684647
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Gary is exercising on the stationary bike in his garage. He bikes 3.5 miles in 1/4 of an hour. How many miles could Gary bike in 3/4 of an hour at the same speed?
Given:
Gary bikes 3.5 miles in [tex]\dfrac{1}{4}[/tex] of an hour.
To find:
The distance covered by Gary in [tex]\dfrac{3}{4}[/tex] of an hour at the same speed.
Solution:
We have,
Distance covered in [tex]\dfrac{1}{4}[/tex] of an hour = 3.5 miles
Distance covered in [tex]1[/tex] hour [tex]=4\times 3.5[/tex] miles
Distance covered in [tex]\dfrac{3}{4}[/tex] of an hour [tex]=\dfrac{3}{4}\times 4\times 3.5[/tex] miles
[tex]=3\times 3.5[/tex] miles
[tex]=10.5[/tex] miles
Therefore, Gary could travel 10.5 miles in [tex]\dfrac{3}{4}[/tex] of an hour.
Evaluate x-y if x=-11 and y=26*
Answer: -37
Step-by-step explanation:
x - y
Substitute -11 for x and 26 for y
-11 - 26 = -37
The price of an item has been reduced by 20%. The original price was $55. What is the price of the item now?
if you get this correct i will mark you brainliest!
Answer:
$55.00 divided by 0.20 = 0.0275 = $2.75
$55.00 - $2.75 = $52.25
Work out the percentage change to 2 decimal places when a price of £198 is increased to £209.99.
Answer:
6.05%
Step-by-step explanation:
Initial price = £198
Increased price = £209.99.
We need to find the percentage change in the price. It can be calculated as follows :
%=(increase in amount)/(initial price) × 100
Increase in amount = 209.99 - 198
= 11.99
So,
[tex]\%=\dfrac{11.99}{198}\times 100\\\\=6.05\%[/tex]
So, the increase in price is 6.05%.
Answer:
6.05%
Step-by-step explanation:
a game decreased in price by 1/4 after the reduction it was price at £36 what was the original price
What is the answer to y=5x
Two-thirds of a number is equal to negative one-fifth. What is the number
answers: -7 1/2, -3/10, -2/15, -3 1/3
Answer: -7 1/2
Step-by-step explanation:
The required number would be -3/10.which is the correct answer would be option (B).
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
We have been given that two-thirds of a number is equal to a negative one-fifth.
Let the number would be x
According to the given question, the required solution would be as:
⇒ (2/3)x = -1/5
Divided by (2/3) both sides of the above equation,
⇒ (2/3)x/ (2/3) = (-1/5)/(2/3)
⇒ x = (-1/5)/(2/3)
Reciprocal the term in the numerator,
⇒ x = (-1/5) × (3/2)
Apply the multiplication operation, and we get
⇒ x = -3/10
Therefore, the required number would be -3/10.
Hence, the correct answer would be option (B).
Learn more about the number system here:
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The graph shows the distance Liam traveled from school in miles (y) as a function of time in seconds (x). The graph is divided into four segments labeled P,Q,R, and S. Please answer fast!
Answer:
Step-by-step explanation:
P
Answer:
Answer is P
Hope this helps :)
Step-by-step explanation:
Write the slope-intercept form of the equation of the line described.
1) through (2, 2), parallel to y=x+4
Answer:
Slope intercept form: y=mx+b; where m is the slope and B is the y intercept
For 2 lines to be parallel they must have the same slope. Thus, the slope of the new line is going to be 1.
To find the y intercept plug in the slope and the x, y into the equation y=mx+b:
y=mx+b
y=1x+b
2=1(2)+b
2=2+b
0=b
b=0
Now that we have your slope and y intercept we can make the equation:
y=1x+0
y=x
Step-by-step explanation:
Alondra is training for a 5 mile race.
The table below shows how many strides Alondra takes as she builds up to running 5 miles.
How many strides will Alondra take to run 4 miles?
Exercise Log
Miles 1 2 4 5
Strides 2,640 5,280 ? 13,200
7,920
9,240
10,560
10,660
Answer:
( Can you show me the table? I don't see a table..)
Step-by-step explanation:
Won't you answer a poor sinner's question HELP! I SWEAR I'LL MARK IT AS BRAINIEST OR SMTHN
Answer:
you needed to mark this question for the science section
Step-by-step explanation:
Mateo has 7/ 2 pounds of apples. He needs 3/4 pounds of apples for each batch of applesauce. How many batches of applesauce can Mateo make? Enter your answer in the box as an improper fraction.
Show or explain your work.
Answer:
2 batches
Step-by-step explanation:
I will give no explanation
Answer:
Step-by-step explanation:
Draw a tape diagram then just dived them and you get 2 batches
Carley's progress from a 5-kilometer race is displayed in the following graph.
Based on this scatterplot, if Carley runs in a 4-kilometer race and she maintains the same pace, how many minutes will it take her to run 4 kilometers?
Answer:I think the answer is forty minutes
Step-by-step explanation:
Lol help please xxxx xd
Answer:
Not me looking at the tabs
Step-by-step explanation:
a rotation of 270 degrees follows which notation?
(x,y) -> (x, -y)
(x,y) -> (y, x)
(x,y) -> (-x, y)
(x,y) -> (y, -x)
(x,y) -> (-x, -y)
(x,y) -> (-y, x)
Using f(x) = 5x + 4 and g(x) = x - 3,find: 1. f(g(6)) 2. g(f(-7)) 3. f(f(8)) 4. g(f(x))
Answer:
Part 1):
[tex]f(g(6))=19[/tex]Part 2):
[tex]g(f(-7))=-34[/tex]Part 3):
[tex]f(f(8))=224[/tex]Part 4):
[tex]g(f(x))=5x+1[/tex]Step-by-step explanation:
Considering the function
[tex]f(x) = 5x + 4[/tex]
[tex]g(x) = x - 3[/tex]
Part 1)
To evaluate [tex]f(g(6))[/tex], you must find [tex]g(6)[/tex]
so
[tex]g(x) = x - 3[/tex]
Put x = 6
[tex]g(6) = 6 - 3[/tex]
[tex]g(6) = 3[/tex]
Then
[tex]f(g(6))=f(3)[/tex]
[tex]=5(3)+4[/tex]
[tex]=19[/tex]
Therefore, [tex]f(g(6))=19[/tex]
Part 2)
To evaluate [tex]g(f(-7))[/tex], you must find [tex]f(-7)[/tex]
so
[tex]f(x) = 5x + 4[/tex]
Put x = -7
[tex]f(-7) = 5(-7) + 4[/tex]
[tex]=-35+4[/tex]
[tex]=-31[/tex]
Then
[tex]g(f(-7))=g(-31)[/tex]
[tex]= (-31) - 3[/tex]
[tex]=-34[/tex]
Therefore, [tex]g(f(-7))=-34[/tex]
Part 3)
To evaluate [tex]f(f(8))[/tex], you must find [tex]f(8)[/tex]
[tex]f(x) = 5x + 4[/tex]
Put x = 8
[tex]f(8)=5(8)+4=40+4=44[/tex]
Then
[tex]f(f(8))=f(44)=5(44)+4=220+4=224[/tex]
Therefore,
[tex]f(f(8))=224[/tex]
Part 4)
Evaluate
[tex]g(f(x))[/tex]
As
[tex]f(x) = 5x + 4[/tex]
[tex]g(x) = x - 3[/tex]
so
[tex]g(f(x))=g(5x+4)[/tex]
[tex]=(5x+4)-3[/tex]
[tex]=5x+4-3[/tex]
[tex]=5x+1[/tex]
Therefore,
[tex]g(f(x))=5x+1[/tex]
Which set
represents the
domain of the
function shown?
{(-3, 6), (0, 2), (4,
7), (11, 15)}
Select one:
a. {(6,-3), (2, 0), (7,4),
(15, 11)
b. {2, 6, 7, 15)
c. {-3, 0, 4, 11}
d.(-3, 0, 2, 4, 6, 7, 11,
15}
Answer:
its c
Step-by-step explanation:
What is the value of x in the solution to this system of equations?
3 x - 5 y = 22
y = -5 x + 32
Is this all correct? Only answer If you know!
Answer:
Incorrect answers that were corrected:
Line CA is the same as line FD
angle B = angle E
angle C = angle F
Step-by-step explanation:
You will purchase snacks for the painting class. You have a budget of $40. You want to buy fruit and granola bars. Fruit costs $4 per pound, and the granola bars are $1 each. You need to by at least 20 granola bars. What combinations of fruit and granola bars can you buy? Algebra 1.... plz help
Answer:
You can buy 20 granola bars and 5 pounds of fruit. You can also buy 35 granola bars and 1 pound of fruit. You can also buy 30 granola bars and 2and a half pounds of fruit. You can also buy 24 granola bars and 4 pounds of fruit. There are a lot of combinations.
Step-by-step explanation:
If f(x) = x2 + x, find f(-3).
-12
3
6
Answer:
-9
Step-by-step explanation:
-3(2) + (-3)
-6 + (-3)
-9
Answer:
f(-3) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = x² + x
f(-3) is x = -3
Step 2: Evaluate
Substitute: f(-3) = (-3)² + -3Exponents: f(-3) = 9 - 3Subtract: f(-3) = 6And we have our final answer!