f(n) = 8.3 + 2.1(n−1) function models the nth term of the sequence 8.3, 10.4, 12.5, 14.6.
What is Sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given,
The sequence below shows a certain company's expected net worth in millions of dollars after 1, 2, 3, 4 years, etc....
8.3, 10.4, 12.5, 14.6,...
The given sequence is a arithmetic sequence.
The first term is 8.3
The common difference is 2.1
The nth term of arithmetic sequence aₙ=a+(n-1)d
the nth term of this sequence=8.3+(n-1)2.1
f(n)=8.3+(n-1)2.1
Hence, f(n) = 8.3 + 2.1(n−1) function models the nth term of the sequence 8.3, 10.4, 12.5, 14.6.
To learn more on Sequence click:
https://brainly.com/question/21961097
#SPJ1
Where do i start?
This is only a grade 11 math problem thanks
The smallest positive integer is 267 that should be multiply with given series.
What is meaning of series?
A series in mathematics is the total of a given set of terms. Real or complex numbers are typically used in these terms, but considerably more generality is conceivable.
Given series is 3, 6, 9, .... , 2400.
Assume that n should be multiply with the given series.
The series becomes 3n, 6n, 9n, .... , 2400n.
Now add the series:
(3n + 6n + 9n + ....+ 2400n)
Taking common 3n:
= 3n( 1 + 2 + 3 + ...+ 800)
Apply the formula the sum of the first n positive integers is n(n+1)/2
= 3n ×{800(800+1)}/2
=3n × 400 × 801
= 3n × 4 × 100 × 3 × 3 × 89
= (4 × 100 × 3 × 3) × (3 × 89) × n
The product of (4 × 100 × 3 × 3) is a perfect square. But 3 × 89 is not a perfect square. Thus n = 3 × 89 = 267.
To learn more about Arithmetic series, you can visit below link:
https://brainly.com/question/11346378?
#SPJ1
PL zz HELP WILL GIVE BRAINILIST
Answer:
n + 2
Step-by-step explanation:
If n is the smallest of three consecutive integers, the largest in the sequence must be only two integers greater.
Please help,
Will mark as brainliest
Answer: D
Step-by-step explanation:
5 x 3 = 15
8 x 3 = 24
the multipliers are both 3
so they are "similar shapes".
The other options don't have the same multipliers so they aren't right :)
24.15 as a two significant figures?
24.15 as two significant figures is 24.
What are significant figures?All significant figures are those that enhance the overall worth of the number's meaning. Numbers are frequently rounded to avoid repeating quantities that are not significant. When rounding, one must be careful not to lose precision. Sometimes the purpose of rounding numbers is simply to make them simpler.
What are the significant figure's rules?Use the following guidelines to decide which numbers are important and which are not:
1) A decimal number less than 1 is not affected by the zero to the left of it.
2) The placeholders for all trailing zeros are all insignificant.
3. There should be significance between non-zero numbers.
4) Every non-zero number has meaning.
5) A number is rounded if it has more digits than the necessary number of significant ones. For instance, 432,500 is rounded up to 433,000 to three significant digits using the half-up (regular) method.
6) Zeros at the end of numbers that are not important but are left in because eliminating them would change the number's value. The 000 in 433,000 in the example above cannot be removed without converting the number to scientific notation.
Given the number, 24.15
We have to convert it to two significant figures, so we will consider the only two figures before the decimal point. So, the number up to two significant figures is 24.
To know more about the significant figures, visit:
https://brainly.com/question/29153641
#SPJ1
help I don't understand it
3x+4=9x+3
Answer:
x = 1/6.
Step-by-step explanation:
3x+4=9x+3
STEP 1: Subtract 4 from both sides...
3x+4 -4 = 9x+3 -4
3x = 9x-1
STEP 2: Subtract 9x from both sides...
3x - 9x = 9x-1 -9x
-6x = -1
STEP 3: Divide both sides by -6x...
-6x / -6x = -1/ -6x
x = 1/6x.
REMEMBER: 2 negatives are equal to positive.
XY is an angle bisector of ΔAXN. Find the length of side XN
The length of XN is 6
What is the angle bisector theorem?According to the triangle angle bisector theorem, any angle in a triangle will divide the opposite side in a ratio equal to the ratio of the sides that contain the angle.A line or ray that divides an angle in a triangle into two equal parts is known as an angle bisector. The two fundamental characteristics of an angle bisector are that each point on it is equally spaced from its sides and that it divides the opposite side of a triangle in proportion to its adjacent sides, which is known as the triangle's angle bisector property.Calculation
By angle bisector theorem
[tex]\frac{AX}{NX} =\frac{AY}{NY}[/tex]
[tex]\frac{18}{NX} =\frac{12}{4}[/tex]
[tex]NX=\frac{18*4}{12} =6[/tex]
Therefore, the length of side NX in the given triangle is 6.
To learn more about the angle bisector theorem, refer to https://brainly.com/question/9742008
#SPJ1
The length of side NX in the given triangle is 6.
What is the angle bisector theorem?According to the triangle angle bisector theorem, any angle in a triangle will divide the opposite side in a ratio equal to the ratio of the sides that contain the angle.A line or ray that divides an angle in a triangle into two equal parts is known as an angle bisector.The two fundamental characteristics of an angle bisector are that each point on it is equally spaced from its sides and that it divides the opposite side of a triangle in proportion to its adjacent sides, which is known as the triangle's angle bisector property.By angle bisector theorem
According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures
Therefore, the length of side NX in the given triangle is 6.
To learn more about the angle bisector theorem, refer to:
brainly.com/question/9742008
#SPJ1
in a tournament there are six teams that play each other twice. a team earns 3 points for a win, 1 point for a draw, and zero points for a loss. after all the games have been played it turns out that the top three teams earned the same number of total points. what is the greatest possible number of total points for each of the top three teams?
The greatest possible number of total points for each of the top three teams is 24.
Given;
Six teams compete against one another twice in a tournament. A team receives three points for a victory, one point for a tie, and no points for a defeat. The top three clubs ended up with the same total number of points when all the games were completed.
After fully understanding the problem, we immediately know that the three top teams, say team A, team B, and team C, must beat the other three teams D, E, F. Therefore, A, B, and C must each obtain (3 + 3 + 3 ) = 9 points. However, they play against each team twice, for a total of 18 points against D, E, and F. For games between A, B, and C, we have 2 cases. There is an equality of points between A, B, and C in the following cases.
Case (I): A team ties the two other teams. For a tie, we have 1 point, so we have (1 + 1) * 2 = 4 points (they play twice).
Therefore, this case brings a total of 4 + 18 = 22 points.
Case (II): A team beats one team while losing to another. This gives equality, as each team wins once and loses once as well. For a win, we have 3 points, so a team gets 3 * 2 = 6 points if they each win a game and lose a game.
This case brings a total of 18 + 6 = 24 points.
Therefore, we use case (II) since it brings the greater amount of points as 24.
To learn more about equality click here:
brainly.com/question/9070018
#SPJ4
write a word problem that uses mixed numbers and asks to find the unit price of an item
A word problem that uses mixed numbers and asks to find the unit price of an item is " The price of a cup of rice is $2. Find the price of 3 1/2 cups.
How to illustrate the information?From the information given, we want to find the word problem that uses mixed numbers and asks to find the unit price of an item.
This can be illustrated as the price of a cup of rice is $2. Find the price of 3 1/2 cups.
Therefore, the price of the cups of rice will be:
= 3 1/2 × $2
= $7
The price is $7.
Learn more about price on:
brainly.com/question/1153322
#SPJ1
Find the rate of change between the following points:
(2,-1)
(-6,-5)
The rate of change between (2,-1) and (-6,-5) is 1/2.
What is the rate of change?
The slope is the ratio of the rate of change between two points (also known as the "slope") to (the change in the x coordinate).
Let (x,y)=(2,-1), (m,n)=(-6,-5)
Rate of change=(n-y)/(m-x)=(-5-(-1))/(-6-2)=1/2.
To learn more about the rate of change from the given link
https://brainly.com/question/25184007
#SPJ1
Estimate using compatible numbers 1,710 divided by 32
Compatible numbers are close in value to the real numbers, which simplifies problem-solving and estimation of the solution. 1,7,10/32 has a quotient (integer division) of 53 and a remainder ("leftover") of 14. The dividend is 1,7,10, while the divisor is 32.
Explain about the compatible numbers?Compatible numbers are those that divide equally into each other and are near to the numbers they are replacing. The outcome of a division is the quotient. 55,304 is not too far away from 56,000. 800 splits equally into 56,000 and is reasonably near to 875.
Our minds can occasionally spin when we are asked to find the total (in addition), difference (in subtraction), product (in multiplication), or quotient (in division). By rounding each number to the closest ten, twenty, fifty, or hundred, we employ suitable numbers to make the problem simpler to figure out mentally.
Numbers that are simple to mentally add, subtract, multiply, or divide are said to be compatible. To estimate a calculation, substitute compatible numbers for the actual numbers. Since it is simple to mentally calculate the sum of 800, the numbers 500 and 300 can be added together.
To learn more about compatible numbers refer to:
https://brainly.com/question/627054
#SPJ13
50 Points
What is the best approximation of the solution to the system to
the nearest integer values?
O(7, -2)
O(-2, 6)
O (6, -2)
O(-2,7)
Answer:
B) (-2, 6)Step-by-step explanation:
The solution of linear system of equations is the point of intersection of the lines.
Closer view of the graph gives us the point ( - 2, 6 ). See the attached.
Add vertical and horizontal lines from the point of intersection and take the closest values to the integer numbers on the x-axis and the y-axis. The numbers are -2 on the x-axis and 6 on the y-axis, therefore the answer is (- 2, 6).
The matching choice is B.
Question 2 of 10 Which of the following is equal to the fraction below? (5/8)
The fraction that is equivalent to the fraction expression given as 5/8 is 40/64
How to evaluate the expression?From the question, we have the following fraction expression that can be used in our computation:
Fraction = 5/8
The above expression is a fraction and at the same time it is a rational number
The denominator of the fraction is 8
So, we start by rationalizing the expression by the fraction
This is represented as
5/8 = 5/8 * 8/8
Evaluate the products of the numerator
So, we have the following representation
5/8 = 40/8 * 1/8
Evaluate the products of the denominator
So, we have the following representation
5/8 = 40/64
The above expression cannot be further simplified
Hence, the equivalent expression of the fraction is 40/64
Read more about fractions at
https://brainly.com/question/1622425
#SPJ1
Possible question
Which of the following is equal to the fraction below? (5/8)
40/64
0.556
2/5
The map shows a portion of downtown Mapledale. Main Street and 2nd Avenue are parallel. Use the map to answer each question. Question Angle Which angle is an alternate exterior angle to angle 8? Which angle is a same-side interior angle to angle 2? Which angle is a corresponding angle to angle 3?
a. Angle 4 is an alternate exterior angles to angle 8.
b. Angle 3 is same-side interior angle to angle 2.
c. Angle 1 is corresponding angles to angle 3.
What are Corresponding Angles?Corresponding angles are located on the same corner and on the same side of a transversal.
For example, in the given image below, angles 1 and 3 are corresponding angles.
What are Alternate Exterior Angles?Alternate exterior angles are any two exterior angles that lie on two different parallel lines but on alternate sides of the transversal that crosses the two parallel lines.
For example, in the image given, angles 8 and 4 are alternate exterior angles.
What are Same-side Interior Angles?Same-side interior angles are interior angles that are located on the same side of the transversal but on different parallel lines that the transversal cuts across.
For example, angles 2 and 3 are same-side interior angles as seen in the given image.
What are Corresponding Angles?Corresponding angles are located on the same corner and on the same side of a transversal.
For example, in the given image below, angles 1 and 3 are corresponding angles.
Learn more about angles formed by parallel lines on:
https://brainly.com/question/16812123
#SPJ1
What is the slope of the line that
passes through these two points?
(-1,4)
(2,2)
Answer:
-2/3
Step-by-step explanation:
y2-y1/x2-x1
2-4/2-(-1)
-2/2+1
-2/3
Please mark as brainliest
or Line p has an equation of y= – 8x+6. Line q, which is perpendicular to line p, includes the point (2, – 2). What is the equation of line q?
Answer:
y = 1/8 x - 9/2
Step-by-step explanation:
slope of line q = 1/8
y-(-2)= 1/8(x-2)
y+2 = 1/8 x - 1/4
y = 1/8 x - 1/4 - 2
y = 1/8 x + (-1-8)/2
y = 1/8 x -9/2
solve this :)
-7m+10m-8=25
Answer:
[tex]\huge\boxed{\sf m = 11}[/tex]
Step-by-step explanation:
Given equation:-7m + 10m - 8 = 25
3m - 8 = 25
Add 8 to both sides
3m = 25 + 8
3m = 33
Divide 3 to both sides
m = 33/3
m = 11
[tex]\rule[225]{225}{2}[/tex]
10.7 10.9 11.3 11.6 11.8 12.2 12.3 13
what is the mean of this set
Answer:
11.725
Step-by-step explanation:
Add all the numbers together and divide it by how many numbers are in the set
Lines L and M are parallel.
What is the value of x?
12
16
29
33
When the p-value is used for hypothesis testing, the null hypothesis is rejected if?.
If the p-value is less than or equal to the selected significance level, the null hypothesis is rejected; otherwise, it is not. In other words, if p, reject[tex]H_{0}[/tex]; if p>, do not reject [tex]H_{0}[/tex].
In null hypothesis testing, this criterion, also known as (alpha), is frequently set to 05. If there is less than a 5% chance that the null hypothesis would be accepted and a result as spectacular as the effects that result would occur, the null hypothesis is rejected. When this happens, the result is said to be statistically significant.
The null hypothesis would be rejected if a statistical test was conducted with a threshold of relevance = 0.1, 0.05, & 0.01.
If the P value is smaller than alpha, the preset level of statistical significance, the alternative hypothesis is considered instead of the null hypothesis.
Learn more about the null hypothesis at
https://brainly.com/question/16945299?referrer=searchResults
#SPJ4
jeremiah is testing the impact of different fertilizers on crop yields. six different fertilizers have been applied to one field. suppose he uses an anova to test whether or not there are differences in yields. how many treatments are in this test?
The impact of different fertilizers on crop which yields six different fertilizers have been applied to one field. here, the number of treatments in the test are 6.
Treatments are the numerous values of the factor.
The factor here is the effect of various fertilizers on crop yields.
Six different fertilizers were used.
As a result, the number of treatments equals the number of different fertilizers used = 6.
Fertilizers supply essential nutrients such as nitrogen to crops, allowing them to grow larger, faster, and produce more food. However, overfertilization can be a problem because it causes greenhouse gas emissions and eutrophication.
For more information on Fertilizers, visit :
https://brainly.com/question/3204813
#SPJ4
Find h in the parallelogram shown.
h= ? ft
The required value of h is 5.29 ft in the parallelogram shown.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
As per the given figure, the dotted lines create a triangle, and the hypotenuse of that triangle is the opposite base of the parallelogram, indicating that it is likewise 8 feet long.
The base of the newly made triangle is one of the parallelogram's diagonals, which is 6 feet long.
According to Pythagorean's theorem, we have
h² + 6² = 8²
h² + 36 = 64
h² = 28
h = √28
h = 5.29
Thus, the required value of h is 5.29 ft.
Learn more about parallelograms here:
brainly.com/question/11220936
#SPJ2
Answer:
4
I did the i-ready, hope this helps! :)
Find the measure of the exterior angle.
Answer:
since the degree of the adjacent angles is 180°, we find the answer from that
Answer:
128°
Step-by-step explanation:
it is a right triangle, the bottom right one is, from the drawing, 90 °, the sum of the internal angles of all the triangles is 180 °, so making 180 - 90 - 38 we have the missing internal angle of 52 °.
Then we find the outer angle, the inner-outer sum is 180 °, 180 - 52 = 128 ° (your answer)
WILL MARK BRAINLIEST! Determine the quadratic function of the form f(x)= a(x - h)² + k whose graph is given on the
right.
Answer:the quadratic function in f(x)= a(x-h)^2+k is f(x) = - (x - 2)² + 2.I think this is false";}
Step-by-step explanation:
8.How do you know whether the graph of g(x) = a |x| is a vertical stretch or a vertical
shrink of the graph of f(x) = b |x|?
Answer
it’s because of the amplitude the value in the front controls the height
Step-by-step explanation:
A.
Help Please!
Solve the inequality and graph it’s solution.
The solution of given inequality is x≤-2.
What is inequality?
Inequality (mathematics), a relation between two numbers or quantities indicating which of them is greater or smaller. An inequality is denoted by the symbol <, which is drawn pointed toward the smaller number.
The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.
p ≠ q means that p is not equal to q
p < q means that p is less than q
p > q means that p is greater than q
p ≤ q means that p is less than or equal to q
p ≥ q means that p is greater than or equal to q.
Given, inequality
8x - 5x ≤ -6
3x ≤ -6
x≤ -6/3
x≤ -2.
To know more inequality, visit:
https://brainly.com/question/16914953
#SPJ1
the option a is the correct option.
which expression is equivalent to 2 over 5 x 2 over 28
answer:
look
step-by-step explanation:
over? you would have 2 ÷ (5 x 2) ÷ 28. in fraction form.
FIND THE SLOPE FROM THE GRAPH
a.
b.
c.
d.
Answer:
A
Step-by-step explanation: Rise/run. is important
it goes up 4 and then over 6 and so we have to simplify which is 2/3 and snice it is going down it is negitive.
How can the dimensions of algebra tile rectangles and area models be used to represent expressions and multiplication?
The dimensions of algebra tile rectangles and area models can be used to represent expressions and multiplication by measuring the length and breadth of the tiles and multiplying them.
What is a Rectangle?This is referred to as a quadrilateral which has four right angles and the area is calculated by multiplying the length with the breadth.
In as situation where the algebra tile rectangles is used , it is best to first measure the length and the breadth after which they are then multiplied to give the appropriate answer. For example if the length is 8cm and the breadth is 5cm then the area will be 8cm × 5cm = 40cm²
Read more about Rectangle here https://brainly.com/question/25292087
#SPJ1
There are 9 adults waiting in line to get the newly released "grown-up" happy meal. What is the probability that
hey are lined up from shortest to tallest?
not an answer, but ik the probability that they'll get one - 0% because they have been discontinued already :D
average temperatures were measured at five randomly selected soups. the x-bar and r-bar were found 45.25 degree and 1.05 degree, respectively. the uclr and lclr are:
The UCLR (Upper Control Limit) and LCLR(Lower Control Limit) are 2.22 and 0 respectively.
Given that,
At five soups that were chosen at random, average temperatures were recorded. X-bar and r-bar positions were 45.25 degree and 1.05 degree, respectively.
To find : UCLR (Upper Control Limit) and LCLR (Lower Control Limit)
R-bar = 1.05 Degrees
X-bar = 45.25 Degrees
Sample Size , n=5
D3=0
D4=2.114
3 Sigma control limits of Range Chart
LCLR = D3*R-bar = 0*1.05 =0
UCLR =D4*R-bar = 2.114*1.05 = 2.22
The UCLR (Upper Control Limit) and LCLR (Lower Control Limit) are therefore 2.22 and 0, respectively.
Learn more about UCLR (Upper Control Limit) :
brainly.com/question/16551522
#SPJ4
