1,4,9,16 what is the next three terms of each pattern?
Answers
pattern is
\(n^2\)and the next three terms are: 25, 36, 49
Related Questions
What is the equation of the line that passes through the point (-5, 4) and has a
slope of o?
Answers
y=4
because it has no slope so it is a horizontal line
A certain academic department at a local university will conduct a research project. The department will need to hire graduate research assistants and professional researchers. Each graduate research assistant will need to work 30 hours per week on fieldwork and 10 hours per week at the university's research center. Each professional researcher will need to work 12 hours per week on fieldwork and 28 hours per week at the university's research center. The minimum number of hours needed per week for fieldwork is 163 and the minimum number of hours needed per week at the research center is 131. Each research assistant will be paid $246 per week and each professional researcher will be paid $407 per week. Let x denote the number of graduate research assistants hired and let y denote the number of professional researcher hired. The department wants to minimize cost. Set up the Linear Programming Problem for this situation.a) Min C = 246x + 407y; s.t 30x + 12y ≥ 163, 10x + 28y ≥ 131, x ≥ 0, y ≥ 0b) Min C = 246x + 407y; s.t 12x + 30y ≤ 131, 28x + 10y ≤ 163, x ≥ 0, y ≥ 0c) Min C = 246x + 407y; s.t 30x + 12y ≥ 163, 28x + 10y ≥ 131, x ≥ 0, y ≥ 0d) Min C = 407x + 246y; s.t 30x + 10y ≥ 163, 12x + 28y ≥ 131, x ≥ 0, y ≥ 0e) Min C = 407x + 246y; s.t 12x + 30y ≥ 163, 28x + 10y ≥ 131, x ≥ 0, y ≥ 0f) None of the above.
Answers
Answer:
The answer is "Option a".
Step-by-step explanation:
In the question, Option a is correct, because in this choice, Let x determine its amount of pupils hired and the point y is let as it's mean that it is the number of experts who recruited in the researcher, and description of the choice can be defined as follows:
\(Min C = 246x + 407y; \\\\s.t \ 30 x + 12 y \geq 163, \\\\10x + 28y \geq 131, \\\\x \geq 0, \\\\y \leq 0\\\\\)
Determine whether descriptive or inferential statistics were used in the statement. in 2008, the average credit card debt for college students was $3173. (source: newser)
Answers
The collection, description, analysis, and drawing of conclusions from quantitative data are all included in the area of statistics, which is a branch of applied mathematics. Probability theory, linear algebra, and calculus of differential and integrals are some of the core mathematical concepts in statistics.
Descriptive statistics were used in the statement.
Descriptive statistics is a branch of statistics that deals with the collection, presentation, and summary of data. It is used to describe and summarize the main features of a data set, such as measures of central tendency (e.g., mean, median, mode) and measures of dispersion (e.g., range, variance, standard deviation).
In this case, the statement is simply reporting a single value, the average credit card debt for college students in 2008. This is an example of a descriptive statistic because it is a summary measure that describes a characteristic of the population or sample under study.
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Descriptive statistics were used in the statement.
What is descriptive statistics?Descriptive statistics is a branch οf statistics that deals with the analysis, descriptiοn, and summarizatiοn οf data. It invοlves the use οf variοus statistical measures, such as measures οf central tendency (mean, median, and mοde), measures οf dispersiοn (standard deviatiοn, variance, range), and graphical representatiοns (histοgrams, bοx plοts, scatter plοts, etc.) tο describe the features οf a dataset.
Descriptive statistics were used in the statement. The statement is simply describing the average credit card debt fοr cοllege students in 2008. Descriptive statistics are used tο describe οr summarize a dataset οr pοpulatiοn, while inferential statistics are used tο draw cοnclusiοns οr make predictiοns abοut a larger pοpulatiοn based οn a sample οf data. Since the statement οnly prοvides infοrmatiοn abοut a specific grοup οf cοllege students in 2008, it dοes nοt invοlve making any inferences οr predictiοns beyοnd this grοup.
Hence, Descriptive statistics were used in the statement.
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Given f(x) = 1/2 (3 - x) ^ 2, what is the value of f(15)?
Answers
If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.
The given function is:
f(x) = 1/2 (3 - x)²
To find the value of f(15), we need to substitute 15 for x in the function:
f(15) = 1/2 (3 - 15)²
Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:
f(15) = 1/2 (144)
f(15) = 72
Therefore, the value of f(15) is 72.
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pls help
When you multiply a fraction by a whole number, you can use the property to regroup factors to make it easier to multiply since the product
remains true. 3/4 * 7= 7 * 3/4.*
A. Communitive Property
B. Associative Property
C. Distributive Property
Answers
A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Answers
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
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Help plss will give brainliest and points
Answers
The new coordinates of dilated rectangle by scale factor of 1/4 are J(1, 2), K(3, 2), L(3, 1), and M(1, 1) we can draw figure.
We are given the coordinates of the vertices of a rectangle J(4,8), K(12,8), L(12,4), and M(4,4).
To dilate the rectangle by a scale factor of 1/4, we need to multiply each coordinate by 1/4.
Multiplying each x-coordinate by 1/4
x-coordinate of J: 4 * 1/4 = 1
x-coordinate of K: 12 * 1/4 = 3
x-coordinate of L: 12 * 1/4 = 3
x-coordinate of M: 4 * 1/4 = 1
Multiplying each y-coordinate by 1/4
y-coordinate of J: 8 * 1/4 = 2
y-coordinate of K: 8 * 1/4 = 2
y-coordinate of L: 4 * 1/4 = 1
y-coordinate of M: 4 * 1/4 = 1
Therefore, the coordinates of the dilated rectangle are: J(1,2), K(3,2), L(3,1), and M(1,1).
Using these new coordinates, we can draw the dilated rectangle by plotting the four vertices on a coordinate plane.
The dilated rectangle has the same shape and orientation as the original rectangle, but it has been reduced in size by a scale factor of 1/4.
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some adults and children are watching a musical there are n children there are 25 fewer adults
Answers
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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In a right triangle, the measures of the legs are x and x + 14 and the measure of the hypotenuse is x + 16. Find the measure of x.
Answers
Answer:
\(x=10\)
Step-by-step explanation:
We can use the Pythagorean Theorem:
\(a^2+b^2=c^2\)
The two legs are x and (x + 14) and the hypotenuse is (x + 16). Therefore:
\((x)^2+(x+14)^2=(x+16)^2\)
Expand:
\(\displaystyle x^2+(x^2+28x+196)=x^2+32x+256\)
Combine like terms:
\(2x^2+28x+196=x^2+32x+256\)
Subtract the right from the left:
\((2x^2+28x+196)-(x^2+32x+256)=0\)
Subtract:
\(x^2-4x-60=0\)
Factor:
\((x-10)(x+4)=0\)
Zero Product Property:
\(x-10=0\text{ or } x+4=0\)
Solve:
\(\displaystyle x = 10 \text{ or } x = -4\)
The x cannot be negative since a side cannot measure -4. So, our only answer is:
\(x=10\)
So, the legs are 10 and 24 with the hypotenuse being 26.
Which of the following shows the correct solution steps and solution to 2×+ 7 = -11?
Answers
Answer:
x = - 9
Step-by-step explanation:
2x + 7 = - 11 ( subtract 7 from both sides )
2x = - 18 ( divide both sides by 2 )
x = - 9
The answer is:
x = -9
Work/explanation:
The point of equations is to find the variable's value by isolating it step-by-step.
For this equation, the variable is x.
To isolate it, I will perform a few operations.
First, I will subtract 7 from each side:
\(\sf{2x+7=-11}\)
\(\sf{2x=-11-7}\)
\(\sf{2x=-18}\)
Divide each side by 2
\(\sf{x=-9}\)
Hence, x = -9.
\(\rule{350}{4}\)
y=2 x − 12 has how many real roots?
Answers
Answer: One root
Reason:
The term "root" refers to the x intercept.
We plug in y = 0 and solve for x to get the x intercept
y = 2x-12
0 = 2x-12
2x = 12
x = 12/2
x = 6
The root is 6.
The single x intercept is located at (6,0).
Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.
Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)
Answers
he net income for the year is $16,550.
Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)
Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500
Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800
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A cake recipe calls for the following dry ingredients: 3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa. To the nearest cup, how much dry ingredients will be used?
HELO
Answers
The amount of dry ingredients used in the cake recipe is approximately 7 cups.
We have,
3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa.
Now, first convert all quantity in same unit.
3 ½ cups of flour
= 3 cups + 0.5 cups
= 3 cups and 8 ounces.
and, 2 ⅔ cups of sugar
= 2 cups + 0.67 cups,
= 2 cups and 10.72 ounces.
and, 1 ¾ cups of cocoa
=1 cup + 0.75 cups
= 1 cup and 12 ounces.
So, the total amount
= 3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces
= 7 cups
Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.
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excel A car insurance company has determined that 8% of all drivers were involved in a car accident last year. If 15 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year
Answers
Answer:
\( P(X \geq 3)= 1- P(X<3)= 1-P(X \leq 2)= 1- [P(X=0) +P(X=1) +P(X=2)]\)
And we can find the individual probabilites using the probability mass function and we got:
\( P(X=0) = (15C0) (0.08)^{0} (1-0.08)^{15-0}=0.286 \)
\( P(X=1) = (15C1) (0.08)^{1} (1-0.08)^{15-1}=0.373 \)
\( P(X=2) = (15C2) (0.08)^{2} (1-0.08)^{15-2}=0.227 \)
And replacing we got:
\( P(X\geq 3) = 1-[0.286+0.373+0.227 ]= 0.114\)
Step-by-step explanation:
For this case we can assume that the variable of interest is "drivers were involved in a car accident last year" and for this case we can model this variable with this distribution:
\( X \sim Bin (n =15, p =0.08)\)
And for this case we want to find this probability;
\( P(X \geq 3)\)
and we can use the complement rule and we got:
\( P(X \geq 3)= 1- P(X<3)= 1-P(X \leq 2)= 1- [P(X=0) +P(X=1) +P(X=2)]\)
And we can find the individual probabilites using the probability mass function and we got:
\( P(X=0) = (15C0) (0.08)^{0} (1-0.08)^{15-0}=0.286 \)
\( P(X=1) = (15C1) (0.08)^{1} (1-0.08)^{15-1}=0.373 \)
\( P(X=2) = (15C2) (0.08)^{2} (1-0.08)^{15-2}=0.227 \)
And replacing we got:
\( P(X\geq 3) = 1-[0.286+0.373+0.227 ]= 0.114\)
If 2(x+7)+x=20 what does x equal?
Answers
Start by distributing the 2 through both terms inside the parentheses.
This gives us 2x + 14 + x = 20.
Now subtract 14 from both sides to get 2x + x = 6.
Now combine like terms on the left to get 3x = 6.
Now, dividing both sides by 3, we find that x = 2.
yo you guys think you could help me find the sum
Answers
Answer:
4m + 8n -4p
Step-by-step explanation:
Im pretty sure its that. Hope its right!
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answers
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
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Have a GREAT day!!!
I need help with this!
Answers
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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Savedour coin collection contains 54 1952 silver dollars. If your grandparents purchased themor their face value when they were new, how much will your collection be worth whenou retire in 2058, assuming they appreciate at an annual rate of 10 percent
Answers
Given:
Coin collection = 54 in 1952
Retire = 2058
Annual rate = 10%
Find-:
How much will your collection
Explanation-:
Future value is:
\(\text{ Future value}=\text{ Present value}\times(1+\text{ interest value\rparen}^{\text{ Time}}\)Time is:
\(\begin{gathered} \text{ Time }=2058-1952 \\ \\ \text{ Time}=106 \end{gathered}\)Present value = 54
So the future value is:
\(\begin{gathered} \text{ Future value }=54\times(1+\frac{10}{100})^{106} \\ \\ =54\times(1+0.1)^{106} \\ \\ =54\times(1.1)^{106} \\ \\ =1318312.55 \end{gathered}\)So the value in 2058 is 1318312.55.
hi im doing homework i hate i-ready so yea can someone answer this please?
Answers
Weight of Omar after 4 weeks is 9.4375 pounds.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
Weight of Omar at the time of birth = 8 pound 3 ounces
Weight gained by Omar in 4 weeks = 5 × 4 = 20 ounces
New weight of Omar
= (8 lb 3 ounces) + 20 ounces
= 8 lb + 23 oz
As, we know 16 ounces = 1 pound
23 ounces = 1.4375 pound
Now, total weight of Omar after 4 weeks = 8 lb + 23 oz
≈ 8 lb + (1.4375) lb
≈ 9.4375 pounds
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The 6th term of an AP is 32 while the 10th term is 48. find the common difference and the 1st term
Answers
Answer:
d = 4 and a₁ = 12
Step-by-step explanation:
the nth term of an AP is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₆ = 32 and a₁₀ = 48 , then
a₁ + 5d = 32 → (1)
a₁ + 9d = 48 → (2)
subtract (1) from (2) term by term to eliminate a₁
0 + 4d = 16
4d = 16 ( divide both sides by 4 )
d = 4
substitute d = 4 into (1) and solve for a₁
a₁ + 5(4) = 32
a₁ + 20 = 32 ( subtract 20 from both sides )
a₁ = 12
Calculate the sector area: 16 in 90°
Answers
Therefore , the solution of the given problem of area comes out to be
r = 8.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Here,
A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as
Sector Size/Sector Area = Circle Area/360
16 ft2/90 = n/360
(360) (16 ft2)/90 = n
(4)(16 ft2) = n
The total size of the circle is n = 64 ft2.
Since Area of a Circle equals r2,
∏r2 = 64
r2 = 64/∏
r = √(64/∏)
We multiply by / to get by rationalizing the denominator.
r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of
r = √(64∏)/∏
r = 8
Therefore , the solution of the given problem of area comes out to be
r = 8.
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someone help me plsssssss
Answers
Answer:
i believe b if not b im sorry
Step-by-step explanation:
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
13 ft
5 ft
?
9 ft
6 ft
4 ft
Answers
The measure of the missing side length from the given figure is 11 feet.
What is right angle?The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection.
It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.
The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.
In the given figure, assuming that all the intersecting sides meet at right angles.
So, the opposite sides are parallel to each other.
Let x be the length of missing side.
Thus, The length of missing side = Sum of length of parallel sides
Now, x= 5+6
= 11 feet
Therefore, the length of side missing is 11 feet.
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As Sally was shopping for a turkey tree for Thanksgiving, she looked at 48 trees. Of those, she found that 7/8 of them were too small. How many of the trees were too small?
Answers
Answer:
42 treesStep-by-step explanation:
48/1 x 7/8 = 6/1 x 7/1 (Simplify 48 and 8 because they have the common factor of 8)=42/1= 42Answer:
Forty-two (42) of the trees were too small.
Step-by-step explanation:
Find 7/8 of 48.
\(\frac{7}{8}\) = 0.875
Multiply the quotient (0.875) by 48 to find \(\frac{7}{8}\) of 48.
0.875 × 48 = 42
what is the perpendicular and parallel lines of y= -2 -4x
Answers
y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.
Where m represents the slope and y intercept is -2.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.
The negative reciprocal of -4 is 1/4.
Therefore, the slope of the perpendicular line is 1/4.
The perpendicular line is y=1/4x-2.
We know that the parallel lines have same slope.
y=-4x+3
Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
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Can someone help me please?
Answers
Answer:
Step-by-step explanation:
the dot would either (1,4) or (4,1)
a squared+ b squared= c squared
the length of the sides are 3
3 squared + 3 squared= c squared
9+9 =c squared
18= c squared
square root of 18 rounded to the nearest tenth is 4.2
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answers
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
15
25
15
23
15
23
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21
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15
a.) The standard deviation is(round to two decimal places)
b.) The variance is(round to one decimal place)
c.) The range is
Answers
Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be able to feed his dog for 27 days.
correct?
Answers
Answer:
No. He will not have enough dog food for 27 days.
Step-by-step explanation:
If he only has 18 cups and he feeds one cup to his dog everyday. He will not have enough for 27 days. he will only have enough for 18.