Answer:
The sequence is a function
Step-by-step explanation:
where n is the number of months since his initial deposits, and A₀=50
The sequence is a function because its domain is a set of natural numbers.
For example,
A₁=A₀+25 =75
A₂=A₁+25=100
A₃=A₂+25=125
A₄=A₃+25=150
The domain is 0, 1, 2, 3, 4, 5,.....
The set of all non-negative integers.
Given sequence is [tex]A_{0}=50, \ A_{n}=A_{n-1}+25[/tex]
Domain of this sequence is n = the number of months since the initial deposit.
The possible values of n = 0, 1, 2, 3, 4, 5,..... It means the set of all non-negative integers.
So it is the domain of the sequence.
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A set of data collected to answer a statistical question has a distribution which can be described by its __________.
I. center
II. spread
III. overall shape
A.
I only
B.
I and II only
C.
III only
D.
I, II, and III
Answer:
its D. I, II, and III
Answer:
I, II, and III
Step-by-step explanation:
A set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
Nico wants to use a horizontal number line to compare 1
and 1.5. He is unsure how to do it and asks you for
help. How would you explain the process?
Answer:
Follow steps 1, 2 and 3.
Step-by-step explanation:
What we must do we will follow in the following steps:
1. Draw a line and make 5 vertical marks about 1/2 inch.
2. Label the middle one 0 and then label the right ones zero 1 and 1.5.
3. Perform the same procedure from step two on the left but negative.
Answer:
1 3 /4
is equal to 1.75. I would plot 1.5 and 1.75 between 1 and 2, but 1.75 would be closer to 2. Since 1.75 is further to the right, it is greater than 1.5.
Step-by-step explanation:
Half of the tuna sandwich were on white bread. 25% of the ham sandwiches sold were on brown bread.
There were 20 more white breads sandwiches sold than brown bread.
Answer:
The frequency table is shown below.
Step-by-step explanation:
(i) Half of the tuna sandwich were on white bread = 21
On brown bread, tuna = 42 - 21 = 21
(ii) 25% of the ham sandwiches sold were on brown bread.
= 25% (32) = 8
On white bread, 32 - 8 = 24
Frequency table:
Tuna Cheese Ham Total
Brown 21 11 8 40
White 21 15 24 60
Total 42 26 32 100
Tyler is using the distributive property on the expression 9 - 4(5x – 6). Here is his
work:
9 - 4(5x - 6)
9+(-4)(5x +-6)
9 +-20x +-6
3 – 20x
Mai thinks Tyler's answer is incorrect. She says, "If expressions are equivalent then
they are equal for any value of the variable. Why don't you try to substitute the same
value for x in all the equations and see where they are not equal?"
a. Find the step where Tyler made an error.
b. Explain what he did wrong.
c. Correct Tyler's work.
Step-by-step explanation:
A Tyler made mistake in the third step
B Tyler didi not multiply 4 by 6
C 9 - 20x + 24
- 20x + 15
-5 (4x - 3)
Tyler is using the distributive property on the expression 9 - 4(5x – 6).
His work
9 - 4(5x - 6)
9+(-4)(5x +-6)
9 +-20x +-6
3 – 20x
What is the distributive property?The distributive property states that an expression that is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
A . Tyler made mistake in the third step
B . Tyler did not multiply 4 by 6
C. Correct steps are,
9 - 4(5x - 6)
9+(-4)(5x +-6)
9 - 20x + 24
- 20x + 15
-5 (4x - 3)
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Solve sin x + 2 sin x cos X = for 0°
Answer:
Step-by-step explanation:
hello :
sin x + 2 sin x cosx = 0 equivalent to : sinx(1+2cosx) =0
sinx=0 means : general solution is : x= kπ....k in Z
1+2cosx=0 means : cosx= -1/2 general solution is : x= ±π/6+kπ...k in Z
The question seems to involve solving a trigonometric equation with an incomplete equation provided. It suggests the use of trigonometric identities and basic values of sin and cos at 0 degrees to simplify and solve trigonometric equations.
Explanation:The question appears to be incorrectly phrased or incomplete. However, it seems to involve solving a trigonometric equation involving sine and cosine functions. To approach such equations, one common strategy is to use trigonometric identities to simplify the equation.
For instance the given expression sin x + 2 sin x cos x can be simplified using the double angle identity or factoring, allowing for easier solution. Yet, without a clear equation to solve or a specific value to find, it's challenging to provide a direct answer.
Solving trigonometric equations often requires understanding basic trigonometric functions like sin 0, which is 0, and cos, which is 1 at 0 degrees. These values are fundamental and help in simplifying equations to find solutions within a given domain, typically between 0° and 360° for high school mathematics problems.
which of the following algebraic represents shows a dilation that is an enlargement ?
Answer:
D: (5/2x, 5/2y)
Step-by-step explanation:
A dilation is an enlargement only when the dilation factor > 1
Only 5/2 is greater than 1
Others are less than 1
Dilation is a transformation that changes the size of a figure without changing its shape. It is represented algebraically as 'y=a*x' or 'y=a*x+b', where 'a' is the scale factor. If 'a' is greater than 1, it represents an enlargement.
Explanation:In algebra, a dilation is a transformation that changes the size of a figure without altering its shape. It can either enlarge (expansion) or reduce (contraction) a figure depending on the scale factor. If the scale factor is more than 1, the dilation is an enlargement. Any algebraic representation, such as 'y=a*x' or 'y=a*x+b' where 'a' is greater than 1, represents a dilation that is an enlargement. For instance, if we have y=2x, the '2' is the scale factor that determines the enlargement. The greater the number, the larger the image after dilation.
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A circle of radius 10cm had a hole cut out of its centre to form a ring. Find the radius of the hole if the remaining area is 50% of the original area. Round to one decimal place
Answer:
7.07cm
Step-by-step explanation:
A=πr2
= 100 π
= 314.159265359/2 (squared)
50% = 157.07963268cm ^2
We look for radius in the area formula
A=πr2
(A / π ) = 157.07963268/ 3.14159265359 = √50 = 7.07106781187
We do not need to half this as already has been squared.
What is the area of the shaded region in the figure
shown below?
2 cm
2 cm
2 cm
Answer:
6 cm
Step-by-step explanation:
I need help with this question
Answer:
3 in²
Step-by-step explanation:
Since you can derive that the 2 squares completely fill the grid, you can look at the extra pieces that don't fill it. Each extra piece seems to fit 1/4 of the square grid and since there are 4, it completes a whole square.
Altogether, 2 + 1 = 3 squares, estimated.
Simplify 12 + 3(2x - 3) + 4.
A.6x - 3
B.6x + 7
C.6x + 13
Step-by-step explanation:
12+6x-9+4
6x+7
option B
Answer:
6x + 7
Step-by-step explanation:
Let's simplify step-by-step.
12 + 3(2x−3) + 4
Distribute:
=12 + (3)(2x) + (3)(−3) + 4
=12 + 6x + −9 + 4
Combine Like Terms:
=12 + 6x + −9 + 4
=(6x) + (12 + −9 + 4)
=6x + 7
The answer and the graph :)
Answer the question fast!!
Answer:
A = bh, so the correct answer is A.
Using the transformation T: (x, y) ➡️ (X + 2, y + 1) find the distance nammed
(I will get the picture in a moment)
Answer:
comment when you get the picture and i will try to answer !
Step-by-step explanation:
Please help I am stuck on this equation
Answer:
Distribution
Step-by-step explanation:
On the second step he distributed the 1/4 to x, but not to twelve.
Answer:
Andre made a mistake in the first part of the equation when he was distributing.
Step-by-step explanation:
He got the 1/4x but forgot to distribute to the 12 which would have gotten him 1/4x + 3
Need help like now
Please and thank you
Answer:
2 1/2 because 6 - 3 1/2 is 2 1/2
Answer:
I think the answer is 2 and 1/2 or 5/2
Step-by-step explanation:
please help i will give brainleest
HW HELP (also please explain how to do it too)
Answer: 14 + 24 + 24 = 62
Step-by-step explanation:
I got that answer by doing 24 x 7.
We know that the area is 168, so to get the area you divide the length in half; now you have 7. (The length is 14)
All you have to do now is 168 divided by 7 and you get 24. So, now you know the rest of the sides are 24. So, 24 x 2 + 14 = 62
Please let me know if the answer is wrong, thank you.
Mai is visiting Paris to see the Eiffel Tower. She is 80 feet away
when she spots it. To see the top, she has to look up at an angle of 85.7 degrees. How
Answer: height of the tower is 1064 feet
Step-by-step explanation:
We want to determine the height of the tower.
Assuming her line of sight of the top of the tower is a straight line, then a right angle triangle is formed. The height, h of the tower represents the opposite side of the triangle. Her distance from the foot of the tower represents the adjacent side of the triangle.
To determine h, we would apply the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Therefore,
Tan 85.7 = h/80
h = 80tan 85.7
h = 1064 feet
Answer:
The tower is 1063.97 feet.
Step-by-step explanation:
please see the attached files for details
If leo blew up 7 balloons and kathy blew up 5 ball what is the ratio of leo balloons to kathy balloons in ratio
Answer:
7 to 5 or 7/5
Step-by-step explanation:
Is the equation xº -5x + 6 = 0 quadratic in form?
Explain why or why not.
Answer:
Step-by-step explanation:
No because the quadratic form is ax^2 + bx + c = 0. The equation, xº -5x + 6 = 0, is not in quadratic form because xº is not x^2, yet the rest of the equation follows the quadratic equation template.
Solve 41 = 1/2x + (-4)
Answers:
x = 70
x = 90
x=88
x=20
Answer:
x=90
Step-by-step explanation
multiply by two both sides -x=82-8 move terms -8-82=-x calculate x=90
A landscape worker cares for 42 lawns in a 6-day work week. express his daily work unit rate.
Answer:
7 lawns per day
Step-by-step explanation:
42 ÷ 6 = 7
Glenn rolls a 6-sided die. What is the probability that he gets a number greater
than 2 or an odd number?
Answer: 5/6
Step-by-step explanation:
Over 2 there are 4 numbers 3,4,5,6 but it can be odd so also 1 works there are 6 numbers in total and 5 numbers work so
5/6
Answer:
5/6
Step-by-step explanation:
I got 5/6 because every number matches the conditions set except for two. If Glenn rolls a 1, it works because it is an odd number. If Glenn rolls a 2 it doesn't work because it's not an odd number and its not greater than 2. If Glenn rolls a 3 it works because 3 is an odd number and is greater than two, and every number after three will also work, because they are all greater than two. This way, the only number that will not match the conditions is 2, so the answer is 5/6, or 83.(3)%
What is the correct factorization of 6(x - 2) + y(x - 2)?
Answer:
( x − 2 ) ( 6 + y )
Step-by-step explanation:
Answer:
(x - 2)(6 + y)
Step-by-step explanation:
Given
6(x - 2) + y(x - 2) ← factor out (x - 2) from each term
= (x - 2)(6 + y) ← in factored form
Can anyone help with this please?
Answer:
10
Step-by-step explanation:
A bag contains two red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.]
How many possible sets of four marbles are there?
sets
The number of possible sets of four marbles from the bag is 126 sets, calculated using the combinations formula, C(9, 4) = 9! / [4! * (9-4)!].
To determine the number of possible sets of four marbles from a bag containing two red marbles, two green ones, one lavender one, two yellows, and two orange marbles, we can use the concept of combinations in mathematics. The formula for combinations is given by
C(n, k) = n! / [k! * (n-k)!]
where n represents the total number of items to choose from, k represents the number of items to choose, and ! indicates factorial which is the product of all positive integers up to the number.
First, we count the total number of marbles:
2 red 2 green 1 lavender 2 yellow 2 orange2 red
Thus, n=9 total marbles in the bag. We want to choose k=4 marbles out of these.
Applying the combination formula:
C(9, 4) = 9! / [4! * (9-4)!] = 126
Therefore, there are 126 possible sets of four marbles that can be chosen from the bag.
Factor the algebraic expression
27x - 18y
Answer:9x
Step-by-step explanation: u would just do 27-18
Answer:hey there
Step-by-step explanation:
27x - 18y>9(3x-2y)>27x =3*3*3*x>-18 y= -(3*3*2*y)here 3 and 3 is common...so it is 9hope this helps uuuTwenty rock songs and 18 rap songs are in a disc jockey’s library. During a radio show how many
different orders can the songs be played if the playlist consists of 8 rock songs and 6 rap songs?
Answe4.516439288 x 10²² ways
Step-by-step explanation:
The number of ways the songs in the playlist can be played involves a permutation, since order is involved.
8 rock songs can be played out of 20 in:
20P8 ways = 20!/(20-8)!
= 20!/12! = 6.033983155 x 10^13 ways
Similarly, 6 rap songs can be played from 18 in:
18P6 ways = 18!/(18-6)!
= 18!/12! = 8.892185702 x 10^12 ways
Hence, the number of ways 8 rock and 6 rap songs can be played from the disc's library is a multiplication of both permutations, which yields:
4.516439288 x 10²² ways
Really struggling! Will give 20 points to answers correctly
Answer:
8,820
Step-by-step explanation:
One candle:
½ × 10 × 7 × 6
= 210 cm³
42 candles:
42 × 210
= 8,820 cm³
Answer:
8820 cm^3
Step-by-step explanation:
Volume of one prism = A(base prism)*height(prism)
A(base prism)= A(triangle) = 1/2*(base triangle)*Height(triangle)= 1/2*10*7 = 35 cm^2
Volume of one prism(or one candle) = A(base prism)*height(prism)= 35*6=210 cm^3
Volume of 42 candles = 210*42= 8820 cm^3
In a certain Algebra 2 class of 30 students, 18 of them play basketball and 9 of them
play baseball. There are 10 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Probability that a student will play both is 7/30
Step-by-step explanation:
Total students = 30
No. of students who play basketball = 18
Probability that a student will play basketball = 18/30
= 3/5
No. of students who play baseball = 9
Probability that a student will play baseball = 9/30
= 3/10
No. of students who play neither sport = 10
Probability that a student will play neither sport = 10/30
= 1/3
To find :
Probability that a student will play both = p(student will play both)
No.of students who play sport = 30 - 10
= 20
Out of 20 students 18 play basketball and 9 play baseball.
So, some students play both the sports.
No. of students who play both sports = 18 + 9 - 20
= 7
p(student will play both) = 7/30
Probability that a student will play both is 7/30