Observa las siguientes imágenes formadas por círculos:
Figura 1 (un circulo) Figura 2 (5 círculos)
-¿Cuántos círculos tendrá la Imagen 10?
-¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7? ¿Puedes saberlo sin necesidad de encontrar la cantidad de círculos de cada imagen? ¿Cómo?
Veremos que en la imagen 10 hay 37 circulos, y la diferencia entre las imagenes 12 y 7 es de 20 circulos.
¿Como encontrar el patrón?
Primero, debemos contar la cantidad de circulos que tenemos en las imagenes mostradas.
En la primera, tenemos 1 circulo.En la segunda, hay 5 circulos.En la tercera, hay 9 circulos.En la cuarta, hay 13 circulos.Entonces podemos ver que en cada imagen se agregan 4 circulos, es decir tenemos una secuencia aritmetica, de tal forma que la imagen número N tendremos:
[tex]C_N = 1 + (N - 1)*4[/tex]
Entonces, cuantos circulos hay en la imagen 10? para ver eso reemplazamos N por 10.
[tex]C_{10} = 1 + (10 - 1)*4 = 37[/tex]
¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7?
Para ver esto calculamos:
[tex]C_12 - C_7 = (1 + (12 - 1)*4) - (1 + (7 - 1)*4) = 11*4 - 6*4 = 20[/tex]
Es decir, la image 12 tiene 20 circulos más que la imagen 7.
Sí quieres aprender más sobre secuencias, puedes leer:
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Activity
Andrew is paid $4 per hour for the first 30 hours he works each week. He makes $5 per hour for each hour he works over 30 hours per week. In
other words, total wages = fixed wages for 30 hours + additional wages at $5 per hour.
Apply function notation to answer the following questions about Andrew's wages.
Part D. How does the function notation in this example compare with the standard notation
Answer:
Step-by-step explanation:
For the first 30 hours, Andrew will earn 4(30) = $120. For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30). Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:
w = 120 + 5(h - 30).
So, if he works 35 hours, he will earn:
120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.
If he works 42 hours, he will earn:
120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.
I hope this helps!
Question 5 (1 point)
Which statement about segregation in Arkansas following Reconstruction is true?
The United States Supreme Court supported segregation.
O Governor Clayton put a stop to segregation.
Only public transportation was segregated
The federal government resisted efforts to segregate.
Answer:
Step-by-step explanation:
The answer is the United states Supreme Court suported segreation
An equation is represented by the model below
What is the value of x that makes the equation true?
If you can may someone explain how to do this also? Thanks!
Answer:
The value of x=5!
Step-by-step explanation:
I remeber ing this!!!:)
log(x+4)=logX + log4
Answer:
log
(
x
+
4
)
=
log
(
x
)
+
log
(
4
)
=
log
(
4
x
)
, so
x
+
4
=
4
x
, hence
x
=
4
3
Step-by-step explanation:
The function f (x) is a PLEASE HELP ME. quadratic function.
How does the graph of f (x + 4) compare to the graph of f (x)?
A. It is shifted 4 units up.
B. It is shifted 4 units down.
C. It is shifted 4 units to the left.
D. It is shifted 4 units to the right.
Answer:
It is shifted 4 units down
The lenght of a turtles shell z, in millimeters, is related to the turtles age in years a , as described by the equation below.
s=55a+37
Which statements about the turtle are true?
Select 3
Answer:
B, C , F
Step-by-step explanation:
The age multiplied 55, so the shell grows at rate of 55mm per year
in fact if the age is 2 we have (55 x 2) = 55 + 55
if 3 = (55 x 3) = 55 + 55 + 55
and so on
When the turtle is hatched the shell is 37 mm in lenght.
In fact, if we substitute 0 to a, we have
s = (55 x 0) + 37
s = 37
when the turtle is 1 year old, the shell is 92 mm in length.
in fact if we substitu a with 1, we have
s = (55 x 1) + 37
s = 55 + 37
s = 92
the diagram shows a track composed of a rectangle with a semicircle on each end. the area of the rectangle is 4,000 square meters. what is the perimeter of the track?
Answer:14400
160
=
90
Step-by-step explanation: 90
⋅
π
=
90
π
→
If you are using an approximation such as 3.14 for
π
, multiply that by 90
Add
160
⋅
2
to the circumference since the lengths of the rectangle are also part of the perimeter.
160
⋅
2
=
320
90
π
+
320
The length of a rectangle is four times the width minus three. If the perimeter of the rectangle is 64 meters, what is the length?
Answer:
L = 25 m
Step-by-step explanation:
L = 4W - 3
perimeter = 2(L + W)
64 = 2(4W - 3 + W)
divide both sides by 2:
32 = 5W - 3
add 3 to each side:
5W = 35
divide both sides by 5:
W =7
L = 4(7) - 3 = 25
i really need help please
Answer:
a = 4, x = 1
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , then
WX = YZ , that is
a² + 5a = 5a + 16 ( subtract 5a from both sides )
a² = 16 ( take the square root of both sides )
a = ± [tex]\sqrt{16}[/tex] = ± 4
Since a > 0 , then a = 4
Also
XY = WZ , that is
x² + 6x = 4x + 3 ( subtract 4x + 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Since x > 0 , then x = 1
Probability is a measure of
Answer:
uncertainty.
Step-by-step explanation:
It measures the uncertainty and likelihood of something to happen to determine how likely something is to happen, which in other words, is a measure of how uncertain you can be about something.
PLEASE HELP THIS HAS A TIMER The following two-way table shows the distribution of daily traffic and weather issues in a certain large city.
A 4-column table with 3 rows. Column 1 has entries bad weather, good weather, total. Column 2 is labeled heavy traffic with entries 25, 55, 80. Column 3 is labeled Light traffic with entries 5, 15, 20. Column 4 is labeled Total with entries 30, 75, 100. The columns are titled daily traffic and the rows are titled weather conditions.
Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent?
No, P(A) = P(B|A).
No, P(A) ≠ P(A|B).
Yes, P(A) = P(A|B).
Yes, P(A) ≠ P(B|A).
Answer:
I believe the answer is (B).
Both are not independent, and the probability of A is 30/100.
While the probability for A|B is like 30/100(80/100) which does not equal 30/100.
I've been trying to figure out how to do it and stuff, and this seems the most reasonable answer. I'm taking it now. Goodluck
ED2021
The two events are not independent as the traffic is affected by the weather conditions.
What is independent probability?Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).
Let event A = heavy traffic and event B = bad weather.
P(A)= 25/30 and P(B)=25/30
Two events are said to be independent only when the change in one event affect the other event.
Here the two given events are not independent.
Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.
Hence, the two events are not independent as the traffic is affected by the weather conditions.
Learn more about the independent probability here:
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A woman is rowing a boat across a 60 wide river from west to east. She can row at 2 mph in still water, but the river's current is 5 mph from north to south. To the nearest foot, how far downstream on the east bank will she land?
Answer:
S, and the other day. I have been a while. I have a great drea the most important things. The may have to pay a fee of the most popular and I will not 66 the most of the most of my life. I was a bit of the best, but the 15th. I have been a while. I am your what is happening in the next couple days 6 the most of the most of the most
Step-by-step explanation:
popular and I will not be hurt by a friend of the day, and the other side, I think I have a great drea, I think I have been a while. I have been in touch. Thanks for the next day delivery. We have a great drea the same time. I was just the right place for the use of the most of the most popular and I am a beautiful person. The comments for your email.
The woman will land on the east bank of the river at a downstream of 37.5 miles.
What is meant by relative velocity ?Relative velocity of an object in motion is defined as the velocity of the object with respect to another object.
Here,
Width of the river, W = 60 miles
Velocity of the boat in still water, Vb = 2 mph
Velocity of river, Vr = 5 mph
Relative velocity of the boat with respect to river in downstream,
Vbr = Vb + Vr
Vbr = 8 mph
Drift of the boat, d = Vr W/Vbr
d = 5 x 60/8
d = 37.5 miles downstream
Hence,
The woman will land on the east bank of the river at a downstream of 37.5 miles.
To learn more about relative velocity, click:
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SOMEONE DO THIS QUICKLY! THIS IS DUE IN 30 MINS!
Answer:
2) a) Neither; b) Adjacent; c) Vertical; d) Adjacent; e) Neither; f) Vertical
3) Vertical, x = 135
4) Adjacent, x = 57
5) Adjacent, c = 45
6) Adjacent, x = 118
7) Vertical, x = 47
8) Adjacent, x = 58
9) Adjacent, x = 9.67
10) Adjacent, x = 10
11) Vertical, x = 20
Step-by-step explanation:
Find the equation parallel to y = -x - 5 and passing through (-3, -3)
Answer:
y = -x - 6
Step-by-step explanation:
If it's parallel, then it means that the slope will remain the same. The slope is
-1.
To find the y-intercept, you need to plug the coordinates into the equation,
y = -1x + b
-3 = -1(-3) + b
-3 = 3 +b
-6 = b
The equation is y = -x - 6
based on the table, what is the slope,m, and y-intercept , b , on the line that models this relationship?
Answer: slope: 180 y intercept: -360
I hope this helps!
Which is the larger value: 2 x 10^6 or 9 x 10^5?
Explain how you know.
Answer:
2 x 10^6
Step-by-step explanation:
10^6 = 1,000,000
2 x 1,000,000 = 2,000,000
10^5 = 100,000
9 x 100,000 = 900,000
2,000,000 > 900,000
The ratio of lime juice to soy sauce in a salad dressing is 5:4. The total of bath ingredients is 27 tablespoons. How many tablespoons of each ingredient are used?
Answer:
There would be 15 tablespoons of lime juice and 12 tablespoons of soy sauce.
Find the measure of AC
Answer:
7 inch
Step-by-step explanation:
AC= BC+AB
= (BD-CD) + radius of B
= (radius of B-radius of D) + 4.5
=(4.5-2) +4.5
=2.5+ 4.5
=7 inch
I hope this is correct.
PLEASE HELP THANK YOU
Answer:
thanks you too for having us
How many solutions does this equation have?
6b = 3b + 3b
is there a solution
Answer:
Yes
The answer is 1
Step-by-step explanation:
If the diameter is 26 inches, what is the radius
Answer:
13 inches
Step-by-step explanation:
In any circle, the radius is always half of the diameter.
So, the diameter can be found by multiplying the radius by 2, and the radius can be found by dividing the diameter by 2.
Since the diameter is 26 inches, we can divide this by 2 to get the radius
26/2
= 13
The radius is 13 inches
Answer:
[tex] \bf \huge13[/tex]
Step-by-step explanation:
Given that : the diameter is 26 inches.to find :what is radius .formulas used :radius = diameter / 2explanation :we know that,
finding the radius
⟼ diameter = 26 inches
⟼ radius = diameter / 2
⟼ radius = 26 / 2 inches
⟼ radius = 13 / 1 inches
⟼ radius = 13 inches.
∴ radius is 13 inches .
A pair of shoes usually sells for $58. If the shoes are 40% off, and sales tax is 6%, what is the total price of the shoes, including tax?
Answer:
24.59
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
with what??!!
Step-by-step explanation:
Answer:
This is essay thank you
Step-by-step explanation:
If (5^n)^3 = 5^12 then n= ?
6
Answer: n=4
Step-by-step explanation:
Uh I did some trial and error and it came up with the right answer
Please help me? I am confused.
Answer:
-5
Step-by-step explanation:
You are trying to find the cube root of a number. Because the number is being multiplied by itself 3 times over, only a negative number could be a cube root of another negative number
2/5 of the flowers in Veronica's garden are marigolds. If there are 55 flower plants in her garden, how many marigold plants does she have?
Answer:Veronica has 22 marigold plants
Step-by-step explanation:
Total Number of flower plants in her garden=55
fraction of flower plants which are marigolds=2/5
Number of flower plants which are marigolds=2/5 x Total Number of flower plants in her garden
=2/5 x 55
=22
if i made 80 dollars every weekend for a year, how much would i have
Answer: You would have 4160$
Step-by-step explanation: there is 52 weeks in a year so 52 times 80
Arthur went to dinner. The meal cost $157 and
he wants to leave an 18% tip. How much money
should he leave for the tip?
Arthur should leave a $28.26 tip
There are 5 people at a party. They decide to share 3 ice cream sandwiches equally.
Which model shows how much of the ice cream sandwiches each person will get?
C.
D
Answer:
your answer will be D. I think :)
Answer: d
i have the test