Answers
The solution is Option C.
Number of squares n in a size number s is given by the equation n = 4s + 1
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
Let the number of squares be = n
Let the size number be = s
Now ,
Figure 1 :
The size number s = 1
The number of squares in the figure 1 is = 5 squares
So , the equation will be n = 4s + 1
n = 4 x 1 + 1 = 5 squares
Figure 2 :
The size number s = 2
The number of squares in the figure 2 is = 9 squares
So , the equation will be n = 4s + 1
n = 4 x 2 + 1
n = 8 + 1 = 9 squares
Figure 3 :
The size number s = 3
The number of squares in the figure 2 is = 13 squares
So , the equation will be n = 4s + 1
n = 4 x 3 + 1
n = 12 + 1 = 13 squares
Hence , The equation is given by n = 4s + 1 , where n is the number of squares and s is the size number
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Related Questions
a tree contains some number of leaves (degree 1 vertices) and four non-leaf vertices. the degrees of the non-leaf vertices are 10, 7, 4, and 4. how many leaves does the tree have?
Answers
The total number of leaves the tree has is :
19 where the degrees of the non-leaf vertices are 10, 7, 4, and 4.
Given:
a tree contains some number of leaves (degree 1 vertices) and four non-leaf vertices.
the degrees of the non-leaf vertices are 10, 7, 4, and 4.
how many leaves does the tree have = ?
The degree of the non leaf vertices are 10, 7, 4, 4
let the number of leaves be = k
So the tree has 4+k vertices.
and hence (4+k)-1 edge ⇒ 3+k
so ∑ deg(v) = 10+7+4+4+1k
= 25+k
and 2[E(T)] = ∑ deg(v)
2(3+k) = 25+k
6 + 2k = 25+k
2k-k = 25-6
k = 19
Hence the number of leaves the tree have is 19.
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a section of a circular design. the drawing shows the measurements in a section of a circular design. how long is the radius of the circle? f 8.7 cm g 10 cm h 7 cm j 4.3 cm
Answers
10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.
Given that,
The measurements are depicted in a segment of a circular design on the drawing.
We have to find what length is the circle's radius.
We know that,
Let us take the up line as AB and the perpendicular line is OP.
So,
In ΔOPB
∠P=90°
PB=5cm
OP is perpendicular to AB.
Sin30° = PB/OB
1/2=5/OB
OB=5×2
OB=10
Therefore, 10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.
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Moussa decides to estimate the volume of a coffee cup by modeling it as a right cylinder. He measures its height as 7.7 cm and its radius as 3.2 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.
Answers
Answer:
247.7 cm³
Step-by-step explanation:
V = πr²h
V = 3.14159 × (3.2 cm)² × 7.7 cm
V = 247.70808 cm³
Answer: 247.7 cm³
Please help!
Determine which integer in the solution set will make the equation true.
6x − 8 = 2(2x + 3)
S: {−2, 0, 7, 9}
−2
0
7
9
Answers
The integer in the solution set will make the equation true is 7.
What is integer?The integer is a whole number which can be negative or positive or zero, they are written in fraction formate.
Given is an equation, 6x − 8 = 2(2x + 3)
Checking for x = -2, we get,
LHS = -2x6 - 8 = -12-8 = -20
RHS = 2(-2x3+3) = 2(-4+3) = 2x-1 = -2
LHS ≠ RHS
Checking for x = 0, we get,
LHS = 6x0-8 = -8
RHS = 2(2x0+3) = 2x3 = 6
LHS ≠ RHS
Checking for x = 7, we get,
LHS = 6x7-8 = 42-8 = 34
RHS = 2(2x7+3) = 2x17 = 34
LHS = RHS
Therefore, when x =7, both the expressions are equal.
Hence, the equation is true for the x =7
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Blank is the mother of the daughter of the mother of Mia's daughter?
Answers
Mia's is the mother of the daughter of the mother of Mia's daughter.
What is athematic?
Athematic is a type of language that does not use inflectional morphology. This means that words do not change their form to indicate different aspects of meaning, such as tense, person, number, gender, case, and mood. Instead, the meaning of a sentence is conveyed through the use of different words and word order. Many languages, such as English, Chinese, and Japanese, are athematic. Additionally, some languages, such as Russian, have both athematic and inflectional forms.
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Complete Question:
_____ is the mother of the daughter of the mother of Mia's daughter.
A) Mia
B) Emely
C) Tena
D) Anna
A force does work on a 50 g particle as the particle moves along the following straight paths in the xy-plane: 25 j from (0 m, 0 m) to (5 m, 0 m); 35 j from (0 m, 0 m) to (0 m, 5 m); -5 j from (5 m, 0 m) to (5 m, 5 m); -15 j from (0 m, 5 m) to (5 m, 5 m); and 20 j from (0 m, 0 m) to (5 m, 5 m).
Answers
1) It is a conservative force, yes.
2) At (5m, 5m), the potential energy is 20 J.
1) If the work that a force performs when moving an item depends only on the object's initial and final positions and not on the path travelled, the force is said to be conservative.
Let's verify if this condition is met for the force in this problem:
- For moving from (0 m, 0 m) to (5 m, 5 m), the work done is 20 J (A)
Then we can go from (0 m, 0 m) to (5 m, 5 m) through a different path:
- from (0 m, 0 m) to (5 m, 0 m) (work done: 25 J)
- from (5 m, 0 m) to (5 m, 5 m) (work done: -5 J)
Total work done in the second path: 25 J + (-5 J) = 20 J --> same as (A)
We can also go from (0 m, 0 m) to (5 m, 5 m) through a different path:
- from (0 m, 0 m) to (0 m, 5 m) (work done: 35 J)
- from (0 m, 5 m) to (5 m, 5 m) (work done: -15 J)
Total work done in the third path: 35 J + (-15 J) = 20 J --> same as (A)
So, the force is conservative, since the work done does not depend on the path taken.
2) For a conservative force, the change in potential energy of the object moved by the force is equal to the work done by the force in moving the object from A to B.
Here have:
Point A: (0m, 0m)
Point B: (5m, 5m)
In this problem, the potential energy at the origin (point A) is zero, so,
[tex]W = U_{b} - U_{a}[/tex]
Also we know that the work done is W = 20 J
So, we find
[tex]U_{b} = W + U_{a}\\=20 + 0\\= 20J[/tex]
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Correct Question:
A force does work on a 50 g particle as the particle moves along the following straight paths in the xy-plane: 25 J from (0 m, 0 m) to (5 m, 0 m); 35 J from (0 m, 0 m) to (0 m, 5 m); -5 J from (5 m, 0 m) to (5 m, 5 m); -15 J from (0 m, 5 m) to (5 m, 5 m); and 20 J from (0 m, 0 m) to (5 m, 5 m).
Is this a conservative force?
If the zero of potential energy is at the origin, what is the potential energy at (5m, 5m)?
refer to scenario 5.2. colin decided to apply some of the things he had learned in his marketing research class to his business. the first thing he should do is to which will help him a. collect secondary data; contact the appropriate respondents. b. develop a questionnaire; collect the necessary data. c. conduct store exit interviews; give him an idea of the problem. d. define the problem to be researched; determine his data needs. e. identify a sample frame; contact the appropriate respondents.
Answers
The first thing he should do is to define the problem to be researched and determine his data needs.
what is scenario?scenario (plural scenarios) a description of the storyline of a play or book. The actual screenplay, as well as any related treatments or outlines. An example of an expected or alleged series of events, expressed as an outline or model.
Intentionally casual, unfinished, and incomplete narrative depictions of significant use circumstances occurring throughout time are called scenarios. A usage scenario describes how someone might use a present system or product. The utilization of a system or product that is currently being developed is described in a design scenario.
The first thing he should do is to define the problem to be researched and determine his data needs.
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Someone Help me please.
Answers
Answer: 64 ounces
Step-by-step explanation:
Let's start with what we know:
1 pound = 16 ounces, so
4 pounds would equal
64 ounces!
Answer:
64 oz
Step-by-step explanation:
1lb =16oz so you multiply 16 by 4 and you get 64
5. Max wants to start his own lemonade stand. It cost him $3 to make each cup of lemonade plus he has
to pay a $35 renters fee for his stand. He sells the lemonade for $5 per cup.
a. Write a system of linear equations for his cost and his revenue.
Answers
The linear equations for cost price and selling price are c = 3x + 35 and y = 5x.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let Max make x cups of lemonade cup.
According to given conditions,
Cost of 1 cup of lemonade = $3.
Also, Max pay for renters fee = $35.
The cost of x cups of lemonade = 3x
The total cost c = 3x + 35
Since, Max sells lemonade for $5 per cup.
Let the selling price is represented by y,
Then selling price y = 5x
Hence, linear equations for cost price and selling price are c = 3x + 35 and y = 5x.
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there were 425 guests at a hotel. 170 guests ordered food. what percentage of the guests ordered food?
Answers
170/425=0.4
as a percent = 40%
68 miles+10 fewer miles+85 miles equal what?
Answers
The value of the expression will be;
⇒ 211 miles
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 68 miles + 10 fewer miles + 85 miles
Now,
Since, The expression is,
⇒ 68 miles + 10 fewer miles + 85 miles
Hence, We get;
⇒ 68 miles + 10 fewer miles + 85 miles
⇒ 68 + (68 - 10) + 85
⇒ 68 + 58 + 85
⇒ 211
Thus, The value of the expression = 211 miles
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a new superman mastercard has been issued to 2000 customers. of these customers, 1500 hold a visa card, 500 hold an american express card and 40 hold a visa card and an american express card. find the probability that a customer chosen at random holds a visa card, given that the customer holds an american express card.
Answers
The probability that a customer chosen at random holds a Visa card, given that the customer holds an American Express card, is 40/500 = 0.08.
How does one determine probability?The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the chance of a given event by the probability that it won't.
Why does probability matter?Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.
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What is range in relation and function?
Answers
The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.
In the given question we have to explain what is range in relation and function.
The range refers to all the entities (output) that result from a relation or function. The Range set is made up of all used output values (dependent values).
The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.
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What are the 3 examples of equation?
Answers
1. y = 2x + 3
2. y = x^2 + 5x - 3
3. y = -2x^2 + 7x – 4
are the 3 examples of equation with y intercept.
1. The first example is a linear equation, which has the form of y = mx + b, where m is the slope and b is the y-intercept.
2. The second example is a quadratic equation, with the form of y = ax^2 + bx + c, where a, b, and c are coefficients.
3. The third example is also a quadratic equation, with the form of y = ax^2 + bx + c, where a, b, and c are coefficients.
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a tar heel basketball player makes 80% of his free throw attempts. among 3 attempts he has, the probability that he at least misses one is equal to
Answers
The probability that he at least misses one is equal to 61/125.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given in the question
basketball player makes 80% of his free throw attempts i.e.
P(Success) = 4/5 or 0.8
P(Miss the attempt) = 1 - 0.8 = 0.2 or 1/5
Number of sample (n) = 3
We need to calculate probability that he at least misses one i.e.
P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0)
Here we will use binomial probability distribution which can be calculated as
P(X = n |N, p)= NCn x (p^n) x (1-p)^(N-n)
P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0) = 1 - 3C0 x (1/5)^0 x (1 - 1/5)^(3-0)
= 1 - (1 x 1 x 64/125) = 1 - 64/125 = 61/125
Hence, the probability that he at least misses one is equal to 61/125.
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can you give me one more day?
Answers
Answer:
sure
Step-by-step explanation:
just ask
Answer:
Only if you get it done by 11:59 tomorrow
Step-by-step explanation:
If the 1st person save 1/4 of total , 2nd person saves 2/3 and 3rd person saves 1/10 , which fraction left to pay for the birthday party.
Answers
After solving the fractions, we can conclude that the fraction left for the pay birthday party is 17/3.
What are fractions?An element of a whole is a fraction.
The number is represented mathematically as a quotient, where the numerator and denominator are split.
Both are integers in a simple fraction.
A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
So, calculate as follows:
1 * 1/4 = 1/4 ...(1)
1/4 * 2/3 = 2/12 ...(2)
2/12 * 1/10 = 2/120 ...(3)
Fraction left to pay:
1 - (1/4 + 2/12 + 2/120)
1 - (30+20+2/120)
1 - (52/120)
1 - 13/30
30-13/30
17/30
Therefore, after solving the fractions, we can conclude that the fraction left for the pay birthday party is 17/3.
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Help please, it’s for an assignment
Answers
{30,40,50} data set has the greatest sample standard deviation.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
The formula for Standard deviation is
σ=√∑(x-µ)²/n
µ is the mean.
For data set: {102,105, 108}
Mean=105
S.D=√∑(102-105)²+(105-105)²+(108-105)²/3
=√9+9/3=√18/3=√9×2/3=3√2/3=√2
For data set: {55,60,65}
Mean=60
S.D=√∑(55-60)²+(60-60)²+(65-60)²/3
=√25+25/3=5√2/3
For data set: {120,121,122}
Mean=121
S.D=√(120-121)²+(121-121)²+(122-121)²/3
=√1+1/3=√2/3
For data set: {30,40,50}
Mean=40
S.D=√(30-40)²+(40-40)²+(50-40)²/3
=√200/3
=10√2/3
Hence, {30,40,50} data set has the greatest sample standard deviation.
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What is the value of x x if x3=3.4
x3
=3.4 answer as a decimal in the
Answers
The value of x in the expression, x³ = 3.4 is x = 1.50369.
What is an expression?A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.
Given:
x³ = 3.4
Calculate the value by taking the cube root of both sides as shown below,
x = ∛3.4
x = 1.50369
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Shayla’s family room measures 20 ft by 17 ft. There is an area rug centered in the room, 3 ft away from each wall. Shayla wants to pay a company to steam clean just the area outside the rug. If they charge $10 per square foot, how much will Shayla have to pay?
Answers
Shayla will pay a sum of $1020 for cleaning the remaining area.
What is Area?
The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.
Solution:
Area of Rectangle = Length * Breadth
Area of the Room = 20*17 = 340 sq. ft.
Area of the Rug = 17*14 = 238 sq. ft.
Area Left = 340 - 238 = 102 sq. ft.
Total Charges will be $10*102 = $1020
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write the coordinates of the vertices after a reflection over the line y= -2
Answers
k'(4, -7)
L'(9, -7)
M'(6, -5)
N'(5, -5) are the new coordinates of the vertices.
Coordinates of a point:
A point's coordinates are a pair of numbers that pinpoint where it is precisely on a two-dimensional plane.
Remember that the x and y axes are two axes that are at right angles to one another and make up the coordinate plane.
A particular point's coordinates show how far along each axis it is situated.
The coordinate's sign is crucial. A positive number indicates moving upward or to the right (x) (y).
Negative numbers indicate turning left (x) or falling (y).
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please help me with this!!!
Answers
Answer:
Answer =6/100
=3/50
hope it's help uhh
Solve for x.
x+(−1.8)=−5.37
Enter your answer as a decimal in the box.
x =
Answers
Answer:
x = -3.57
Step-by-step explanation:
First, subtract the answer and the other interger: -5.37 - (-1.8). Two negatives equal a negative. So, your answer would be -3.57
To double check, you would add -3.57 + (-1.8) [-+-=-] Equals, -5.37.
I hope this helped you!
I begggggg Pls help asappppppp !!!!!!!
Answers
Answer:
Translation, then reflection. E
Step-by-step explanation:
E is correct because 1 and 2 have a reflection meanwhile number 3 has a translation.
Where is the vertex in ABC?
Answers
The vertex in triangle ABC is at point A, B, and C.
Step by Step explanation :
Given triangle is represented by ΔABC
Triangle is representation of three line segment , three vertices , and three angles enclosed in it.Two rays meet at one point forms a vertex.When side AB and AC intersect each other at point A , point 'A' is known as vertex.When side BA and BC intersect each other at point B , point 'B' is known as vertex.When side CA and CB intersect each other at point C , point 'C' is known as vertex.Therefore, the vertex of the given triangle ABC is given by point A, B , and C.
The complete question is:
Where is the vertex in triangle ABC?
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1. the best / most precise estimate of the mean value of y is located at the mean of the x values. true false -select- 2. if you were thinking about opening up several new pizza places near colleges with 20,000 students, would you feel 95% confident that mean sales for those stores would be $175,000? yes no -select-
Answers
The first statement is false and answer to second statement is no.
The mentioned information does not state that x and y are linearly related or not. If they are not related in linear way, the mean value of y would not be located at the mean of the x values.
Confidence intervals indicate the mean or population of the sample. For the confidence interval of sales of pizza stores, the similar data would be required for comparison using statistics tool. Hence, the relevant data should be sales of nearby pizza stores till now. Thus, the mentioned statement is irrelevant.
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anova is to be used in a research study using two therapy groups. for each group, scores will be taken before the therapy, right after the therapy, and one year after the therapy. how many different sample means will there be? a. two b. three c. five d. six
Answers
If Anova is used in a research study using two therapy groups , then there will be 6 different sample means , the correct option is (d) .
In the question ,
it is given that ,
Anova is used in a research study using two therapy groups ,
for each group , scores will be taken
(i) before the therapy,
(ii) right after the therapy, and (iii) one year after the therapy.
that means ,
the number of therapies group = 2 and
the number of times the measurement is taken is = 3 .
So , the number of sample means is = 2 × 3 = 6 .
Therefore , there will be 6 different sample means .
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Norm has an income of $32,690.
He paid a total of 15% of his income in tax.
How much tax did Norm pay?
Answers
The amount of the money paid by the Norm as a tax will be $4903.5.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Norm has an income of $32,690. He paid a total of 15% of his income in tax.
The amount of tax paid will be calculated as,
Amount = ( 32690 x 15 ) / 100
Amount = 32690 x 0.15
Amount = $4903.5
The Norm will pay $4903.5 in taxes.
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inequality question? Ryan planning a party for his parents' anniversary. The caterer charges a delivery fee of $14 on an additional $5.25 per person. If he can spend no more than $350, how many people can he invite?
Answers
Answer:47
Step-by-step explanation:
Answer:
Your answer is 47, hope it helps.
Write an equation of a line that is perpendicular to y = 4x + 8 and passes through (−8, 4).
y equals negative one-fourth times x minus 7
y equals negative one-fourth times x plus 2
y = 4x + 24
y = 4x + 36
Answers
The equation the line perpendicular to the line given is y = -x/4+2
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, a line is perpendicular to y = 4x + 8 and passes through (−8, 4).
The equation of general line is; y = mx+c, where m is the slope.
We know that, two lines perpendicular to each other will have slope negative reciprocal of each other.
Therefore, the slope of the asked line is -1/4
Finding for c,
4 = -1/4x(-8)+c
c = 4-2
c = 2
Therefore, equation will be; y = -x/4 +2
Hence, The equation the line perpendicular to the line given is y = -x/4+2
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