Answer:
263.25
Step-by-step explanation:
Your welcpme and stay safe
Answer:
fraction; 263.25/100
whole number; 263
Step-by-step explanation:
4.5 × 9 × 6.5;
4.5 × 6.5 = 29.25
29.25 × 9 = 263.25
The first four terms of a sequence are shown below: 9, 5, 1, â’3 Which of the following functions best defines this sequence? f(1) = 9, f(n 1) = f(n) â’ 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) â’ 5; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 5; for n ≥ 1.
The function that best defines this arithmetic sequence is:
[tex]f(n) = f(n - 1) - 4, f(1) = 9[/tex]What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.The recursive function that defines the sequence is:
[tex]f(n) = f(n - 1) + d[/tex]
[tex]f(1) = f_0[/tex]
In which [tex]f_0[/tex] is the first term.In this problem, the sequence is: {9, 5, 1, -3}
Each term is the previous term subtracted by 4, hence [tex]d = -4[/tex].The first term is 9, hence [tex]f_0 = 9[/tex].Hence, the function is:
[tex]f(n) = f(n - 1) - 4, f(1) = 9[/tex]You can learn more about arithmetic sequences at https://brainly.com/question/6561461
To identify the functions which best define the given sequence, we have to identify the number pattern.
The correct option is (a).
Given:
The given sequence is as follows,
[tex]9,5,1,-3[/tex]
What is an arithmetic sequence?The arithmetic sequence define as the difference between two consecutive number would be same.
If we subtract 4 form each digit we will get next digit.
[tex]9-4=5\\5-4=1\\1-4=-3[/tex]
So the function would be,
[tex]f(1) = 9, f(n + 1) = f(n) -4; \rm for \:n\geq 1[/tex]
The option (b) and (d) show the increasing function whereas we have decreasing sequence.
Thus, the correct option is (a).
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Write the statement "cars are vehicles" as a conditional statement. Then write the converse. Also, write the inverse.
Cars are vehicles means cars=Vehicles
So
[tex]\\ \sf\longmapsto C=V[/tex]
Converse statement:-
Vehicles are cars[tex]\\ \sf\longmapsto V=C[/tex]
if f(x) = x^2 -5x +1 and g(x) =5x+4 what is the value of g•f (-2)
Answer:
The value of [tex]gof (-2)=79[/tex]
Step-by-step explanation:
We have
[tex]f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15[/tex]
Now we need to find
[tex]gof (-2)=g(15)[/tex]
[tex]g(15) =5\times15+4\\\\=79[/tex]
the functions below show the amount of money bella and sweet t had saved after earning money for doing chores
Answer:
Hello your answer should be: Bella saved more per chore than Sweet T.
Step-by-step explanation:
Hope this helped! :)
Have a great rest of your day!
HELP PLS! Which of the following expressions is equal to x2 +9?
O A. (x-3)2
O B. (x+3)(x - 3
O C. (x+3)(x-6)
O D. (X+3)2
the answer is B. (x+3) (x-3)
Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He has 200 feet of fencing. The inequality that models the possible perimeter of the yard is 2l 2w ≤ 200. Which are possible dimensions for Mike’s backyard? Check all that apply. W = 50 ft; l = 10 ft w = 10 ft; l = 50 ft w = 20 ft; l = 60 ft w = 90 ft; l = 30 ft w = 50 ft; l = 40 ft.
The inequality that models the possible perimeter of the yard is 2(l + w) ≥ 200
The possible dimension of the width is 90 feet
The formula for calculating the perimeter of the fence is expressed as:
P = 2(l + w)l is the length of the fencew is the width of the fenceIf he has 200 feet of fencing, then:
2(l + w) ≥ 200
If the length of the fenced-in area to be at least 20 feet long, the equation becomes:
2(20 +w) ≥ 200
40 + 2w ≥ 200
2w ≥ 200 - 40
2w≥ 160
w≥ 80
Hence the possible dimension of the width is 90 feet
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7/24*5/14*16/25
PLS HELP!!!!!!!
7/24*5/14*16*25= 1/15
if the nth term is 6-2n^2 what is the 4th term?
Answer:
a₄ = - 26
Step-by-step explanation:
Substitute n = 4 into the nth term formula
a₄ = 6 - 2(4)² = 6 - 2(16) = 6 - 32 = - 26
Robin currently has 50 subscribers on her You Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.
Part A: Set up a system of equations to shows each person's subscribers. (2 points)
Part B: After how many weeks will Robin and Dimitri have the same number of subscribers? (1 point)
Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal? (1 point)
We want to write and solve a system of equations to model the given situation.
The answers are:
A)
y = 50 + 4*x
y = 17 + 7*x
B) after 11 weeks.
C) 94 subscribers.
First, we must find the two linear equations, we know that Robin has 50 subscribers and she gets another 4 per week.
Then for Robin, we can write:
y = R(x) = 50 + 4*x
The equation that models the number of subscribers that Robin has at week x.
Dimitri at the moment has 17 subscribers and wins 7 per week, then his equation is:
y = D(x) = 17 + 7*x
A) Then the system of equations is just:
y = 50 + 4*x
y = 17 + 7*x
B) Now we must solve the system.
Notice that in both equations we have y isolated, then we can write:
50 + 4*x = y = 17 + 7*x
50 + 4*x =17 + 7*x
Now we can solve this for x:
50 + 4*x =17 + 7*x
50 - 17 = 7*x - 4*x
33 = 3*x
33/3 = 11 = x
This means that at week 11 they will have the same number of subscribers.
C) To get this we just need to evaluate any one of the two linear equations in x = 11
D(11) = 17 + 7*11 = 94
Both of them will have 94 subscribers.
If you want to learn more about systems of equations, you can read:
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1. Look at the figure. Find y.
A)15
B)-3
C)2
D)3
Answer:
y = 3
Step-by-step explanation:
The triangles are congruent by AAS.
Sides 5y and 3y + 16 are congruent by CPCTC.
5y = 3y + 6
2y = 6
y = 3
Today 90 students bought lunch from the cafeteria. If this was 60% of the students, how many students are there in total?
Answer: 150 students
Step-by-step explanation:
Let X be the total number of students. We are told that:
0.60X = 90 students
X = (90 students)/0.60
X = 150 students
How much fence is needed to surround a garden with side lengths of 2.1 meters, 3.5 meters, 1.9 meters, and 2.25 meters?
Answer: 9.75m
Step-by-step explanation:
3.5 + 2.1 + 1.9 + 2.25 = 5.75 + 4 = 9.75 m
PLEASE HELP ME (third times the charm)!!!!!!!
Answer:
the first option i think
CD is a line parallel to AB and passes through the point (3, 5).
c. Find the equation of the line CD
Answer:
y=5/3x+b
Step-by-step explanation:
Supposing CD uses the equation y=mb (meaning CD passes through the origin) and passes through (3,5), we then know the slope if 5/3 and the y intercept is 0. We can then write CD's equation as y=5/3x+0, or just y=5/3x.
So if AB is parallel to CB, then their equation is y=5/3x+b, as we don't the y-intercept yet.
Thank you!
What is the LCD of 1/5 and 9/7
Twelve is sixteen less than four times a number.
the numbers 1 to 9 are randomly arranged to form a 9-digit number. what is the probability that the number obtained is divisible by 18?
(please write the solution)
Answer:
Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444. or even 44.4%
Step-by-step explanation:
If we have 9 digits 1–9 placed randomly to form a 9-digit number without repetition and we want the probability of that number is divisible by 18, then we only need to look at the fact if it is divisible by 18, then it is also divisible by 2 and 9. Adding the digits 1–9 would give us the following (including checking for divisibility by 9):
(9 x 10)/2 =90/2 = 45
45÷9=5
By divisibility of 9, if the sum of the digits is divisible by 9, then the original number itself is divisible by 9. Since the number 45 is divisible by 9, we know that all the possible 9-digit numbers will be as well. The only thing we would have to look at is if it is even since the number has to be divisible by 2.
There are 9 digits of which 4 are even (2, 4, 6 or 8).
So the probability that the number is divisible by 2 is 4/9.
Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444.
I want quick plsssss
[tex]3 \times \frac{1}{2} \\ \\ = \frac{5}{2} [/tex]
The table shows the linear relationship between the number of pages left to read in an
the number of hours a student has already spent reading the novel. Mark each stateme
or false. If false, rewrite the statement correctly.
HOURS
READ
RE
9. The student reads at a rate of 48 pages per hour.
1
4
10. The number of pages in the novel is 644.
8
12
11. The situation can be represented by the
equation y = -48x + 692.
14
The table is an illustration of a linear function
9. The student's rate
Take any two points from the table
[tex](x,y) =\{(1,644)\ (4,500)\}[/tex]
The rate is then calculated using:
[tex]Rate = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
This gives
[tex]Rate = \frac{644 -500}{1-4}[/tex]
[tex]Rate = \frac{144}{-3}[/tex]
[tex]Rate = -48[/tex]
The statement that the student reads at a rate of 48 pages per hour is true
10. The pages in the novel
From the table, there are 644 pages left, after the student read for 1 hour.
This means that there are more than 644 pages in the novel.
The statement that the number of pages in the novel is 644 is false
11. The linear equation
This is calculated as:
[tex]y = Rate(x -x_1) + y_1[/tex]
So, we have:
[tex]y = -48(x -1) + 644[/tex]
[tex]y = -48x +48 + 644[/tex]
[tex]y = -48x +692[/tex]
The statement that the situation can be represented by the equation y = -48x + 692 is true
Read more about linear equations at:
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Answer:
Step-by-step explanation:
please help me, i dont really understand this
Answer:To convert a mixed fraction to an improper fraction, follow these steps:
Multiply the whole number part by the fraction's denominator.
Add that to the numerator. or this might also help,
Then write the result on top of the denominator. To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have.
Step-by-step explanation:
Hope this help
Census data from a city of 150,000 residents produced the income distribution shown here: A distribution curve of income in thousands of dollars. The curve is right skewed with a mean between 50 and 100. Suppose that we were to take random samples of 100 residents from this population and calculate ˉ x as the sample mean income of the residents in each sample.
Using the Central Limit Theorem, it is found that the shape of [tex]\bar{x}[/tex] is approximately normal.
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.In this problem, the distribution is not normal, however the sample size is of 100 > 30, hence the Central Limit Theorem is applicable and the shape of [tex]\bar{x}[/tex] is approximately normal.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/4086221
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
[please put in correct order]
What is the y intercept of the line y + 11=-2(x+1.5)
[tex]y +11 = -2(x+1.5)\\\\\implies y = -2x -3 -11\\\\\implies y = -2x - 14\\\\\text{The above equation is in a form of y = mx +b,}~\text{where}~~ b = -14~\text{ is the y-intercept.}[/tex]
2+2+9+9+9+9+7+7+6-8-6+7+8+9+8+9+0+9+8+9
Answer:
The answer is 113.
Answer:
141
Step-by-step explanation:
There are 8 nines: 9×8=72
There are 3 sevens: 7×3=21
There are 4 eights: 8×4=32
6×2=12
2×2=4
All together you get
What is the approximate value of b?
1) Find the probability of rolling a
number greater than 3 on a standard
number cube.
Answer:
50%
Step-by-step explanation:
hi guys need some help with this one question thanks
Take two co-ordinates
(-2,0)(0,4)[tex]\\ \sf{:}\Rrightarrow m=\dfrac{4-0}{0+2}=\dfrac{4}{2}=2[/tex]
Equation in point slope form
[tex]\\ \sf{:}\Rrightarrow y-y1=m(x-x1)[/tex]
[tex]\\ \sf{:}\Rrightarrow y-4=2(x-0)[/tex]
[tex]\\ \sf{:}\Rrightarrow y=2x+4[/tex]
Using a compass and a straightedge, a student constructed a triangle in which XY is one of the sides.
The length of the compass so that ΔXYZ is isosceles and not equilateral could be;
Option C; between ¹/₂XY and XY
Option E; greater than XY
We are told that;
Student has drawn a line XY
Now the student opened the compass with a set length to draw two intersecting arcs with X and Y as centers.
Now, for these two arcs to meet, the compass has to be opened to a length that is more than half of segment XY.
Secondly, since the triangle is not equilateral, it means the compass cannot be opened to length AB.
The next step would be t open the compass to a length slightly bigger or slightly smaller than AB.
Finally, the options that apply are Options C and E.
Read more about construction of Isosceles triangles at; https://brainly.com/question/2520169
if candy canes cost .89 a dozen, how much would it cost to buy candy canes for a school with 300 students
Answer:
267
Step-by-step explanation:
Answer:
First dont give candie second keep for yourself third mock them 4th be greedy
Step-by-step explanation:
by buying candie from your own money nah waste on yourself
5+6b+3d how many terms are in the expression
Answer:
3
Step-by-step explanation:
5 is a term 6b is a term 3d is a term