Answer:
Domain for n is All integers where n ≥ 1.
Step-by-step explanation:
In arithmetic sequence,
where a is first term.
d is common difference.
n is number of terms.
Now, in given sequence recursive formula for nth term in
the number of term is n and it belongs to natural number.
Hence, domain for n is All integers where n ≥ 1.
Have a wonderful day/night/afternoon and stay safe my friends
Juan is arranging three flavors of ice cream in his cooler: chocolate, cookie dough, and mint. If chosen at random, what is the probability that Juan will place mint in the middle?
help i will give brainliest
Answer:
if there's only one ice cream flavor the chances are 100%, if there are two ice cream flavors the chance will be the half of the first one which will make it 50%. if there are three it'll be the ⅓ of the first one which will make it 33.3%. So the probability that Juan will place the mint flavor will be 33.3% (I don't know I just say it.)
Yesenia eats 3 cookies. Maria eats 4 cookies. Jocelynn eats twice as many cookies as Yesenia. What is the ratio of the number of cookies Jocelynn eats to the number of cookies Yesenia eats?
A:4 to 3
B:2 to 3
C:2 to 1
D:3 to 4
Answer:
C: 2 to 1.
Step-by-step explanation:
Jocelyn eats 3*2 = 6 cookies.
So required ratio = 6:3
= 2:1.
Which is the graph of the linear inequality 2x – 3y < 12?
On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.
On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.
What are the characteristics of the graph of the inequality?Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.
Characteristics of the graph of the inequality-
Open circle-When the value of the variable is equal to the given number, then the graph of the inequality has an open circle.Closed circle-When the value of the variable is not equal to the given number, then the graph of the inequality has a closed circle.The ray will move to the right-When the, value of the variable is greater than the number, then the ray will move to the right.The ray will move to the left-When the value of the variable is less than the number, then the ray will move to the left.The linear inequality given in the problem is,
[tex]2x - 3y < 12[/tex]
The graph of this line is attached below. Here, for the greater than sign, every thing on the left of the graph is shaded, and the line will be dotted because of inequality as shown in the attached image.
Hence, on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.
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In a 30-60-90 triangle the long leg is half the hypotenuse.
help with math problem.
Answer:
Number of logs:
1. 48
2. 14
3. 90
4. 48
5. 100
Total: 300
Step-by-step explanation:
Just multiply the height with the number of trees then divide by 6. This is in theory if the length of all the trees were conjoined, as there would most likely just be less, then 300. This is because the remainder would be that of the multiplied trees height instead of getting the remainder of wood from each tree. So in case you want to try doing that option, simply divide the height first in feet by 8, then multiply that by the number of trees to give you an accurate answer of logs.
Answer:
see attached
total: 300 logs
Step-by-step explanation:
When calculations are repetitive, it is convenient to let a spreadsheet do them.
Here, the number of logs per tree is found by dividing the tree height by 8 feet. The number of logs from trees that height will be found by multiplying the number of trees by the number of logs that height will give.
The total number of logs is the sum of the numbers from all the tree heights.
__
The total number of logs is 300. (The rightmost column of the attached spreadsheet matches the rightmost column of your table.)
Hi i need help with this math question
Answer: 40x
Step-by-step explanation: addion multiplcation and divion
Answer:
x = 6Step-by-step explanation:
We note that the graph crosses the x- axis at the point (6 , 0)
Thus , g(6) = 0.
Please help me.. there is a image
Answer: 2 and 4
Step-by-step explanation: They both have 3 x's
Answer:
Okay the mode means the most repeating number.
So if you write this all out:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4
You can now see that 3 is the most repeating number.
So 3 is the mode.
Step-by-step explanation:
Hope this helps!
From your neighborhood softie :)
Performance-enhancing drugs affect an individual by which of the following?
A. Decrease an athlete's muscle mass and endurance.
B. Are legal in some sports.
C. Decrease an athlete's performance and energy levels.
D. Give performers an unfair advantage.
Answer:
Give performance an unfair advantage
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.5 years, and standard deviation of 1.9 years.
If you randomly purchase one item, what is the probability it will last longer than 12 years?
Answer:
39.74 %
Step-by-step explanation:
12 years - 11.5 = .5 years
.5 / 1.9 = .2631 S.D above the mean
From z-score table this corresponds to .6026
60.26 are BELOW this life span
39.74 % are above 12 years
A jar contains 100 marbles. There are 7 blue marbles, 4 green marbles,
46 red marbles, and 43 yellow
marbles. What is the probability of
randomly selecting a yellow marble?
Enter the correct answer.
Answer:
43%
Step-by-step explanation:
If there are 43 yellow marbles out of 100 total, the fraction that will be used is 43/100. The percentage is found by dividing the numerator (top) by the denominator (bottom). The percentage is the first two numbers in the decimal. For future reference, if a decimal were to have more than 2 or 3 digits, the number would be rounded to the 4th and the decimal point would be placed between the 2nd and 3rd digits.
How many times wood a wood chuck chuck if a wood chuck could chuck wood.
Answer: about 700 pounds
According to the Poetry Foundation, a woodchuck would chuck As much wood as a woodchuck could chuck, If a woodchuck could chuck wood Researchers at Cornell determined that a woodchuck could chuck about 700 pounds.
Un círculo con circunferencia igual a 20 tiene un arco con ángulo central igual a 72°.
¿Cuánto mide la longitud del arco?
Answer:
4
Step-by-step explanation:
[tex]\frac{20}{360}=\frac{x}{72}\\x = 4[/tex]
Find the original price given the total amount and tip rate. Total price 307.32 tip rate 20%
Answer:
256.10
Step-by-step explanation:
You want the original price given the total amount is 307.32 and the tip rate is 20%.
Tip addedAdding a tip multiplies the original price by (1 +tip rate). We can divide the total amount by this factor to find the original price:
307.32/(1+0.20) = 256.10
The original price was 256.10.
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|x|=x^2+x-15 solve the absolute value equation
Answer:
[tex]x=\sqrt{15,} -5[/tex]
Step-by-step explanation:
find the area figure below
Answer:
Area = 1
Step-by-step explanation:
I;ve attached my work below
Hope it helps, Let me know if you have any questions/concerns !
Have a nice rest of your day :)
I need help on this assignment
Which of the following is a valid conclusion ?
Answer:
interferances of the blood preser
Step-by-step explanation:
Using ratios in right triangles
Answer:
Your answer should be A) 0.34.
Step-by-step explanation:
Look at the other 3 triangle above and compare it to the below triangle that only has 70°.
One of the triangles is similar to the triangle below that has 70°.
Using the Side Length value we get 3.4/10 = 0.34.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero
Answer:
Step-by-step explanation:
This question is based on the of expression. Therefore, the correct option is (A) that is, .
Given:
Expression :
We have to determined the expression is equivalent to the given expression.
According to the question,
It is given, to be assume that denominator does not equal zero.
Now by given expression, i.e.
Now, divide denominator by numerator we get,
Therefore, the correct option is (A) that is,
Find the slope pls help giving brainlest
Answer:
(3,-9)
Step-by-step explanation:
Please give brainliest please and good luck :)
The number of people who attended a school's last six basketball games increased as the team neared the state sectional games. The table shows the data.
Game 13, 14 15, 16, 17, 18
Attendance 348, 435, 552, 609, 696, 783
State the type of function that best fits the given data. Justify your choice of a function type.
The function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x - 783
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have given data:
Game(x): 13 14 15 16 17 18
Attendance(y): 348 435 552 609 696 783
If plot these points on a coordinate plane, we will see these points will align in a straight line.
We know we can find a line equation with two points:
(13, 348) and (14, 435)
[tex]\rm (y - 435) = \dfrac{435-348}{14-13}(x-14)[/tex]
y - 435 =87(x-14)
y = 87x - 783
Thus, the function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x - 783
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The displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function :
x=-3.5sin(π/2t+(5π)/4)
Find
a. maximum kinetic energy
b. maximum potential energy
c. maximum mechanical energy
To solve this problem, we have to write out the simple harmonic motion equation and then use the respective formula to solve. The maximum kinetic energy, maximum potential energy and the maximum mechanical energy is equal to 7.56J.
Simple Harmonic MotionThe given equation of the simple harmonic motion is
[tex]x = 3.5sin(\frac{\pi}{2t} + \frac{5\pi}{4})\\[/tex]
Data;
ω = π/2k = 1.254N/mSolving this
[tex]\frac{dx}{dt} = \theta = -3.5 * \frac{\pi}{2} cos (\frac{\pi }{2}t + \frac{5\pi}{4})\\[/tex]
Let's calculate the maximum velocity.
[tex]V_m = \frac{3.5\pi}{2}[/tex]
This is only possible when cos θ = -1
The maximum kinetic energy is
[tex]K_m = \frac{1}{2}mv_m^2 = \frac{1}{2}* \frac{500}{1000} * (\frac{7\pi}{4} )^2\\K_m = 7.56J[/tex]
The maximum kinetic energy is 7.56J
The maximum potential energy can be calculated as
[tex]\omega^2 = \frac{k}{m} \\k = \omega^2 m \\k = \frac{\pi^2}{4} * \frac{500}{1000}\\ k= 1.254 N/m[/tex]
Using the value of spring constant, we can find the maximum potential energy
[tex]P.E = \frac{1}{2}kx^2\\P.E = \frac{1}{2} * 1.234 * 3.5^2\\P.E = 7.56J[/tex]
The maximum potential energy is 7.56J
The maximum mechanical energy is equal to the sum of maximum potential energy and the maximum kinetic energy.
[tex]ME = P.E + K.E\\ME = 7.56J[/tex]
The reason ME is equal to 7.56J is because when x is at maximum, v = 0 and makes kinetic energy equal to zero.
ME = 7.56J
From the calculations above, the maximum kinetic energy, maximum potential energy and the maximum mechanical energy is equal to 7.56J.
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What is the least two common multiplication 2 and 5
The first term in a sequence is 72. The pattern follows the rule add 31. What are the next four terms?
Answer: 103, 134, 165, 196
Step-by-step explanation:
Second term: 72+31 = 103
Third term: 103+31 = 134
Fourth term: 134+31 = 165
Fifth term: 165+31 = 196
What is the solution to this system of linear equations?
X - 3y = -2
X + 3y = 16
A. (7, 3)
B. (3, 7)
C. (-2, -3)
D. (-3, -2)
Answer:
x=7 and y=3
Step-by-step explanation:
Step: Solve x−3y=−2 for x:
x−3y=−2
x−3y+3y=−2+3y(Add 3y to both sides)
x=3y−2
Step: Substitute3y−2for x in x+3y=16:
x+3y=16
3y−2+3y=16
6y−2=16(Simplify both sides of the equation)
6y−2+2=16+2(Add 2 to both sides)
6y=18
6y
6
=
18
6
(Divide both sides by 6)
y=3
Step: Substitute3foryinx=3y−2:
x=3y−2
x=(3)(3)−2
x=7(Simplify both sides of the equation)
Answer:
x=7 and y=3
Answer:
Step-by-step explanation:
2x = 14
x = 7
7 + 3y = 16
3y = 9
y = 3
(7, 3)
answer is A
what is 12 is 15 % of what?
Answer:
15% of eighty is equal to twelve
Below is a the data set for the amount of time spent on FaceTime. Calculate the mean, median, mode, and range. Be sure to show your work!
Sunday 65, Monday 250, Tuesday 75, Wednesday m 65, Thursday 45, Friday 77, Saturday 80.
Mean:
Median:
Mode:
Range:
Answer: Mean - 93.8571428571, round however you need to
Median - 75
Mode - 65
Range - 205
Step-by-step explanation: Order the numbers first. 45,65,65,75,77,80,250.
Find the mean. 45 + 65 + 65 + 75 + 77 + 80 + 250 is 657. Divide by 7 is 93.8571428571.
Median is middle. It is 75.
Mode is the most common. - 65
Range is the highest subtracted by the lowest. 250 - 45 is 205.
There is a new candy on the scene! The Delicious Candy Company
wants you to create the packaging for the launch of this new candy.
On possible shape for the
container is a rectangular prism. This is a
standard shape for boxes. Place in the measurements that you think
would work best for the candy box.
The measurements that would work for the box is 10cm for the length, 15cm for the width and 5cm for the height.
What are the possible dimensions of the candy box?The candy box has the shape of a rectangular prism. A rectangular prism is a is a three-dimensional shape with six faces, twelve sides and six verticies.
Volume = length x width x height
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a new tile floor in school cafeteria has been installed within a checkerboard alternating of black and white only. there is a total of 25 tiles including 22 White tiles what is the ratio of black tiles to White tiles
The ratio of the black tiles to White tiles in a school Cafeteria in which new tile floor is installed within a checkerboard is 3/22.
What is a ratio of two numbers?The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.
A new tile floor in the school cafeteria has been installed within a checkerboard alternating of black and white only.
There is a total of 25 tiles including 22 White tiles. Here,
Total number of white tiles is 22.The total number of tiles is 25.Thus, the total number of white tiles is,
[tex]25-22=3[/tex]
Thus, there is total 3 white tiles. The ratio of black tiles to White tiles is,
[tex]r=\dfrac{3}{22}\\[/tex]
Thus, the ratio of the black tiles to White tiles in a school Cafeteria in which new tile floor is installed within a checkerboard is 3/22.
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What is x if the volume of
the box is 70 in^3 ?
Answer:
12.25.
Step-by-step explanation:
1) the formula of the volume given in the condition is:
V=2*2/7*10x.
2) If V=70, then
2*2/7*10x=70, where x=12.25.
Answer:
(10x)(7/4)(2)=70
=10x=70/7/4/2
=10x=20
x=2
Answer: 2
Step-by-step explanation: