Answer:
+ 1) is an even number.
Take any n ∈ N, then n is either even or odd.
• Suppose n is even ⇒ n = 2m for some m ⇒ n(n + 1) = 2m(n + 1) ⇒ n(n + 1) is even.
• Suppose n is odd ⇒ n+ 1 is even ⇒ n+ 1 = 2m for some m ⇒ n(n+ 1) = 2nm ⇒ n(n+ 1)
is even. QED
2. The sum of the first n natural num
Step-by-step explanation:
a>50A is greater than 50
a<50a<50
a≥50A is greater than or equal to 50
a≤50
Answer:
A. a > 50Step-by-step explanation:
If a is the number of acres, and the farmer is going to plant more than 50 acres, then the correct inequality is:
a > 50un refresco tiene una concentración de 3.8 x 10-4 de iones H+. determina el valor de PH de ese refresco
Answer:
El pH del refresco es 3.42.
Step-by-step explanation:
Se puede calcular el pH del refresco usando la siguiente fórmula:
[tex]pH = -log([H^{+}])[/tex]
En donde:
[H⁺]: es la cocentración de los iones H⁺ de la solución
Entonces, el pH es:
[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]
El resutlado obtenido nos permite concluir que ese refresco es ácido.
Por lo tanto, el pH del refresco es 3.42.
Espero que te sea de utilidad!
Usando su fórmula, se encuentra que el valor de PH de ese refresco es dado por 3.42.
Cual es la fórmula para el valor de PH?Es dada por:
[tex]pH = -\log{H^{+}}[/tex]
Onde [tex]H^+[/tex] es la concentración.
En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:
[tex]pH = -\log{H^{+}}[/tex]
[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]
[tex]pH = 3.42[/tex]
El valor de PH de ese refresco es dado por 3.42.
Puede-se aprender mas sobre el valor de PH en https://brainly.com/question/16146414
Vincent has a box of popsicles. There are 12 cherry, grape 10 orange, and 6 blue raspberry If he reaches in the box and pulls one out at random, what the probability it will be blue raspberry?
Answer:
6:28 or 3:14
Step-by-step explanation:
if you add all the flavor amounts up, which is 12 + 10 + 6, you get 28. 6 of those 28 popsicles are blue raspberry, so the ratio is 6:28. if it needs to be simplified, its 3:14 because 6/2 is 3 and 28/2 is 14
Answer:
6:28 if you add all Popsicles it gives you 28,so the probability that he will pick raspberry are 6 ,so if you simplyfy further its 3:14
Which statement about the quadratic equation below is true?
2x2 - 15x + 18 = 0
Answer:
x=3/2 or x=6
Step-by-step explanation:
2x2−15x+18=0
Step 1: Factor left side of equation.
2x^2-12x-3x+18=0
taking common factors
2x(x-6)-3(x-6)=0
(2x−3)(x−6)=0
Step 2: Set factors equal to 0.
2x−3=0 or x−6=0
x=3/2 or x=6
which property of equality should you use to solve the equation for x? -3x = 21
A. The division property of equality
B. The subtraction property of equality
C. The addition property of equality
D. The multiplication property of equality
Answer:
A. The division property of equality
Step-by-step explanation:
To get x you need to find a way to get it by itself, which can be done by dividing -3 from both sides of the equation (which is the division property of equality).
For example,
-3x=21
/-3 /-3
x=21/-3
x=-7
I have found the area but I'm not sure how to find the perimeter.
Answer:
20+20+24+24=88
88/2=44
88+44=132
Step-by-step explanation:
If you split it so there is a rectangle and a triangle, you find the perimeter of the rectangle then divide it in half.
Help please I need it
Answer:
okk
Step-by-step explanation:
Answer:
11.401754251
Step-by-step explanation:
I used the Pythagorean theorem to solve. 9 * 9 + 7 * 7 = 130 and the square unit of 130 is 11.401754251 but you should be fine by putting 11.4.
sorry if I'm wrong:(
10 points
Are the triangles similar? If so state how you know and pick the correct
similarity statement. *
H
R
T
ATSR -
A) similar, AA similarity; ATGH
B) similar, SAS similarity; ATHG
C) similar, SAS similarity; AHTG
D) not similar
A
Answer:
They are similar however i don't see where the a is at. If you see G would go to S which means H would go to R. I think the answer is B
Step-by-step explanation:
a penny is dropped from a height of 144 ft. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the function is h(t) = 16t^2 - 144.
answers
t = 9seconds
t = 3 seconds
t = 18 seconds
t = 10 seconds
Answer:
The time of fall is 9 seconds
Step-by-step explanation:
We are asked to find the time between when the penny was dropped and when it landed.
To do this, we have to start with what we are given and see how we can relate it to find what we are looking for.
From the problem, we are given the equation which represents the height which the penny travels as it falls. It is given by
[tex]h(t) = 16t^2 - 144.[/tex] ----------- equation 1
in addition to that, we are also given that h = 144ft at the end of the fall; that is, where t = t max, and h = hmax
Hence, it is safe to say that at the end of the fall, that the heigh is no more changing. This means that dh/dt = 0
We can now differentiate equation 1 above to get
h max = 16t - 0 ------------- equation 2
recall that h max = 144
plugging the value of h max into equation 2, we have
144 = 16t
t = 9 seconds
Therefore the time of fall is 9 seconds
Answer:
t= 3 seconds
Step-by-step explanation:
I took the quiz and this is the answer
Roger bowled 3 games last weekend. His scores are listed below. What is the MEAN of Roger's scores? 155 , 165 , 142 .
Answer:
154
Step-by-step explanation:
because you add 155 +165+142. =462
you do 462 ÷3 =154
Please help! If you do you will get 'Brainliest'
Answer:
B) -1
Step-by-step explanation:
Move point A to one, it has moved 1/2
Move to 0 it has moved 1 1/2 from point A
Move to -1 it has moved 2 1/2 from point A
The heights of all 12-year old girls in the U.S. Are normally distributed with a mean of 60.5 inches and a standard deviation of 3 inches. What is probability that a girl chosen at random from a that age group with have a height of at least 69.5 inches?
PLEASE HELP WILL GIVE POINTS ABD BRAINLYIST ASAP
Garnet has a container with 15 1/2
cups of flour in it. She can make one dozen muffins with 2 1/2 cups of flour.
How many dozens of
muffins can Garnet make with the flour she has?
Answer:
6
Step-by-step explanation:
2.5x6=15 and thats the closest it'll get. To be exact, it's 6.2, but i dont know if you need that.
The 1,840 rock concert tickets sold were twice the amount of jazz concert tickets sold.
Add 2 scores to the data set below so that the median does not change. List the two scores you used, and explain what must be true about the numbers that you would need to use
84, 73, 91, 61, 98, 88, 77
Which of these can not form a perpendicular bisector?
O A. a line segment
O B. a circle
O C. a pair of parallel lines
O D. a right triangle
The solution is : Second option is correct. O B. a circle, can not form a perpendicular bisector.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
Since we know that to form perpendicular bisector .
We need atleast two lines which form right angle.
So, right triangle can form perpendicular bisector with base and height.
Parallel lines can also form perpendicular bisector if a line is drawn from mid point of one line to mid point of another line.
A line segment can form perpendicular bisector.
But circle can't as it is curved shape it needs line to make perpendicular bisector.
Hence, Second option is correct. O B. a circle, can not form a perpendicular bisector.
Learn more about circle here:
brainly.com/question/11833983
#SPJ5
A satellite is at a distance of 1.3776 x 108 feet from the center of Earth. There are approximately
3,280 feet in a kilometer. What is the distance in kilometers between the satellite and the center of Earth?
Write your answer in scientific notation.
Enter only your answer in the space provided.
Answer:4.2 x 10^4 your welcome
Step-by-step explanation:
PLEASE HELP ME AND MAY GOD BLESS U
Answer:
68mm
Step-by-step explanation:
Answer:
63.585 mm2 is the area
28.26 is the circumference.
Hope this helps!
the scale of a model lighthouse is ½ inch = 4 feet. the real lighthouse is 75 feet tall, how tall wil the model lighthouse be
Answer:
9.375Inch
Step-by-step explanation:
First I did 75 divided By 4 to get how many 4 feet the light house is and then got 18.75 ft and then divided that by 2 and got 9.375inches
PLEASE HELP‼️‼️‼️ i need this done by 2pm PST‼️
I'll answer the second question, we are told student can read 80 words in 5 min, so how many words can he read in a min, all we need to do is 80/5 to get 16 and thats your answer!
16 words per minute
PLEASE HELP!
NO LINKS!
I only need help on letter d!!
You want to create a scale model for a building that will be 120feet tall and 40 feet wide. If you make the model 6 feet tall, how wide should it be?
Given:
Length of the building = 120 feet
Width of the building = 40 feet
Length of the model = 6 feet
To find:
Width of the model.
Solution:
The scale model similar to the original figure and the corresponding sides of the similar figures are proportional.
Let x be the width of the building.
[tex]\dfrac{\text{Length of the building}}{\text{Length of the model}}=\dfrac{\text{Width of the building}}{\text{Width of the model}}[/tex]
[tex]\dfrac{120}{6}=\dfrac{40}{x}[/tex]
[tex]20=\dfrac{40}{x}[/tex]
[tex]x=\dfrac{40}{20}[/tex]
[tex]x=2[/tex]
Therefore, the width of the model is 2 feet.
Someone help plz make sure it’s right?
Evaluate: 19 - 3k] = 3
Answer:
k = [tex]5\frac{1}{3} ,7\frac{1}{3}[/tex]
Step-by-step explanation:
|19 - 3k| = 3
-3k = 3 - 19
-3k = -16
k = 16/3
k = 5 1/3
-19 + 3k = 3
3k = 3 + 19
3k = 22
k = 22/3
k = 7 1/3
Help please I did everything right but my answer is still wrong mark brainliest?
Answer:
5.6
Step-by-step explanation:
Can somebody help me with one of these i literally don’t get it.
Answer:
basically multiply the height and the base (area), using the two numbers shown. Just add for perimeter. Just use a calculator, no one really cares about doing it them selves
Step-by-step explanation:
Answer:
Step-by-step explanation:
((No links allowed))!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)
Answer:
z=25
Step-by-step explanation:
(3+5)^2+[8-11]+z=4(z-2)
(8)^2 +3+z=4z-8
square 8
add 8 to both sides
mines z from both sides
64+3+8=3z
75=3z
25=z
I REALLY NEED HELP!!! what is the answer to this one?
I think the answer is A. I will check if it is wrong
Find the arc length of the semicircle. Enter an exact answer in terms of . units
Answer:
The answer is 37.699111848 units or 0 units, pick
Step-by-step explanation:
2πr (θ/360)
find the mean and median of the data set 23,25,38,42,54,57,65
Answer:
Mean: 43.43
Median: 42
Step-by-step explanation:
pls im stuck and i really need help
There is website called symbolab to help , or desmos