please first click on the image.
the question :
If the pattern continues , what algebraic expression can be used to find the number of circles used in any figure ? how many circles will be in the 50th figure ?
Answers
Let the figure number be x.
Then the equation will be:
3x
There will be 3x circles in the figure number x.
So, number of circles in 50th figure will be
= 3(50)
= 3 × 50
= 150 circles
The number of circles in the 50th figure is 150 circles.
What is Sequence?A sequence in mathematics is a ordered set of objects or numbers which are related with something.
For example, 1, 3, 5, ..... is a sequence of odd numbers.
Here a pattern is shown in the form of the circles.
In the Figure 1, there are 3 circles.
In the figure 2, there are 6 circles.
In the figure 3, there are 9 circles.
It is clear that the pattern is in such a way that 3 circles are increasing to each succeeding figure.
So for the nth figure,
Number of circles will be 3n.
So for 50th figure, number of circles = 3 × 50 = 150 circles
Hence the number of circles in the 50th figure is 150.
Learn more about Sequences here :
https://brainly.com/question/30262438
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Related Questions
Use the Distributive Property to simplify the expression.
10(b−6) =
Answers
explanation: distribute
Answer:
[tex]\huge\boxed{\boxed{10b-60}}[/tex]
Step-by-step explanation:
Hello.
The Distributive Property states that
a(b+c)=ab+ac
Now that we know what the property states, let's simplify:
10(b-6)
10 times b minus 10 times 6:
10b-60
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
whats the place value of number 4 in the number 1 345.87?
Answers
Answer:
Tens
Step-by-step explanation:
Decimal Place Values:
millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
. decimal point
tenths
hundreths
thousandths
ten thousandths
your class is taking a field trip. you can travel in school district buses and chartered buses. a school bus holds 50 people and a chartered bus holds 40 people. 400 people are going on the trip. write an equation that models this situation.
Answers
ANSWER ASAP!!!
is -6x+y=-11 the same as 6x − y = 11?
Answers
What is the measure of angle M? Type only the number:
Answers
Answer: 30
Step-by-step explanation:
all angle degrees added up = 180 degrees as I said before.
180 = 102+48+M
180 = 150+M
M = 30
Ms. Baron earns $20 for walking 4 dogs. How much would she earn for each dog?
Answers
Answer:
$5
Step-by-step explanation:
20 / 4 = $5
I hope this helped, please mark Brainliest, thank you !!
Answer:
$5
Step-by-step explanation:
Assuming that she earns the same amount for walking each dog.
20/4 = 5
If the price for a meal is $15 and there is a $3 dollar tip, what percentage of the total is the tip?
Answers
Answer:
5%
Step-by-step explanation:
Answer:
3 is 20% of 15$
Step-by-step explanation:
A cargo ship left port A and is headed across the ocean to shipping port B. After one month, the ship stopped at a refueling station along a path described by a vector with components LeftAngleBracket 14, 23 RightAngleBracket. After another month, on the same path, the ship reached port B, twice the distance from port A as the fueling station.
B
What are the characteristics of the vector representing the path of the ship?
components:LeftAngleBracket 7, 11.5 RightAngleBracket, magnitude: 13.46
components:LeftAngleBracket 7, 11.5 RightAngleBracket, magnitude: 53.85
components:LeftAngleBracket 28, 46 RightAngleBracket, magnitude: 13.46
components:LeftAngleBracket 28, 46 RightAngleBracket, magnitude: 53.85
Answers
Answer:
D
Step-by-step explanation:
Edge 2020
Answer:
D. components:LeftAngleBracket 28, 46 RightAngleBracket, magnitude: 53.85
Step-by-step explanation:
Write the equation in point-slope form that goes through the point (10,5) and has
slope of - 3
Answers
5. Justify the last two steps of the proof.
(4 points)
Given: RS UT and RT US
Prove: ARST AUTS
T
0
Proof:
1. RSU
2. RT & US
3. ST & TS
4. ARST AUTS
1. Given
2. Given
3. ?
4. ?
E
Answers
Answer:
ST & TS are congruent
RST and UTS are congruent
Step-by-step explanation:
The question is not properly presented; however, I've added an attachment to give a clear picture of the question.
Required
State the property that justifies:
[tex]ST = TS[/tex]
Triangles [tex]RST = UTS[/tex]
From the question, we have that:
[tex]RS = UT[/tex]
[tex]RT = US[/tex]
In plane geometry, the length of ST is still the same as the length of TS.
This implies that:
[tex]ST = TS[/tex] because ST is congruent to TS
Moving further to determine the relationship between triangles [tex]RST\ \&\ UTS[/tex]
Comparing both triangles:
They have a similar side ST and TS because [tex]ST = TS[/tex]
And we also have that: [tex]RS = UT[/tex]
So, we can conclude that: [tex]RST = UTS[/tex] because they are congruent
Your question isn't 100% clear to me but I did my best:
1. RS = UT Given
2. RT = US Given
3. ST = TS Reflexive Property of Congruence
4. RST = UTS SSS (Side-Side-Side)
Use the value of x to find the measure of angle 1 x=25
Answers
I’ll just do them both since it’s easier to check.
So to make this easier both of the angles will add up to 180 degrees so let’s make an equation.
5x-5+2x+10=180
First we collect like terms
5x+2x-5+10=180
Add them up
7x+5=180
Move the constant to the right
7x=180-5
7x=175
7x/7=175/7
x=25
So yes it’s true x=25.
Now we find the respective angles,
5x-5
5(25)-5
125-5
120
So angle one is 120 degrees.
2x+10
2(25)+10
50+10
60
So angle two is 60 degrees.
Now to check,
120+60=180
35+30s -45t expression equivalent
Answers
Answer:
(-35-30s+45t)\times(-1)(−35−30s+45t)×(−1)left parenthesis, minus, 35, minus, 30, s, plus, 45, t, right parenthesis, times, left parenthesis, ...
Step-by-step explanation:
(-35-30s+45t)\times(-1)(−35−30s+45t)×(−1)left parenthesis, minus, 35, minus, 30, s, plus, 45, t, right parenthesis, times, left parenthesis, ...
Answer:
dw
Step-by-step explanation:
dw
HELP ME PLSS!! thank you!!
Answers
Hope this helps
Answer:
1.5
Step-by-step explanation:
Half of three is 1.5 and they take half off the x for each x. Therefore answer is 1.5
What percent is represented by the shaded portion on this 10 × 10 grid?
A grid model has 100 squares. 76 squares are shaded.
What percent is represented by the shaded portion on this 10 × 10 grid?
A grid model has 100 squares. 76 squares are shaded
7.5 Over 100%
75 Over 100%
7.5%
75%
Answers
Answer:
StartFraction 75 Over 100 EndFraction percent
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
Did the quiz
There is strong believe that language skills of Political science students are greater than students who study Finance. Researcher selected some students from each faculty in order to assess this claim by using 95% confidence level. Language exam was taken from students for this purpose. It is assumed than unknown population variance of language skills for each faculty is the same. Exam results are given in the following table.
Observation Political Science Finance
1 7 5
2 4 3
3 8 7
4 8 8
5 7 9
6 7 5
7 6 5
a) Formulate Null and Alternative Hypothesis. (1 point)
b) Calculate p value of the test. (4 points)
c) What is your decision about Hypothesis? (2 points
Answers
Answer:
a
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis [tex]H_a : \mu_1 > \mu_2[/tex]
b
[tex]p-value = 0.232[/tex]
c
The decision rule is
Fail to reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The value given is
S/N
1 7 5
2 4 3
3 8 7
4 8 8
5 7 9
6 7 5
7 6 5
Generally the sample mean for the first sample is mathematically represented as
[tex]\= x _1 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x _1 = \frac{7 +4 + \cdots + 6}{7}[/tex]
=> [tex]\= x _1 = 6.714[/tex]
Generally the sample mean for the second sample is mathematically represented as
[tex]\= x _2 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x _2 = \frac{5 + 3+ \cdots + 5}{7}[/tex]
=> [tex]\= x _2 = 6[/tex]
Generally the sample standard deviation for the first sample is mathematically represented as
[tex]s_1 = \sqrt{\frac{\sum (x_i - \= x_1)^2 }{n-1 } }[/tex]
=> [tex]s_1 = \sqrt{\frac{ (7 - 6.714 )^2 +(4 - 6.714 )^2 + \cdots + (6 - 6.714 )^2 }{7-1 } }[/tex]
=> [tex]s_1 = 1.905[/tex]
Generally the sample standard deviation for the second sample is mathematically represented as
[tex]s_2 = \sqrt{\frac{\sum (x_i - \= x_2)^2 }{n-1 } }[/tex]
=> [tex]s_2 = \sqrt{\frac{ (5 - 6.714 )^2 +(3 - 6.714 )^2 + \cdots + (5 - 6.714 )^2 }{7-1 } }[/tex]
=> [tex]s_1 = 4.33[/tex]
Generally the pooled standard deviation is
[tex]s = \sqrt{\frac{(n_1 - 1 )s_1^2 + (n_2 - 1 )s_2^2}{n_1 + n_2 -2 } }[/tex]
=> [tex]s = \sqrt{\frac{(7 - 1 )1.905^2 + (7 - 1 )4.333^2}{7 + 7 -2 } }[/tex]
=> [tex]s = 1.766[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis [tex]H_a : \mu_1 > \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x _1 - \= x_2 }{s * \sqrt{\frac{1}{n_1} + \frac{1}{n_2}} }[/tex]
=> [tex]t = \frac{6.714 - 6 }{1.766 * \sqrt{\frac{1}{7} + \frac{1}{7}} }[/tex]
=> [tex]t = 0.757[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 - 2[/tex]
=> [tex]df = 7 + 7 - 2[/tex]
=> [tex]df = 12[/tex]
From the t distribution table the probability of [tex]t = 0.757[/tex] at a degree of freedom of [tex]df = 12[/tex] is
[tex]t_{ 0.757 , 12} = 0.232[/tex]
Generally the p-value is
[tex]p-value = t_{ 0.757 , 12} = 0.232[/tex]
From the values obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
(IM GIVING BRAINLIEST IF U HELP!!)
How does an object become electrically charged?
A) Though the transfer of charges from one object to another
B) Through the movement of heat from one object to another
C) Through the transfer of sound from one object to another
D) Through the movement of water from one object to another
Answers
A is the correct option:) Three ways electrons can be transferred are conduction, friction, and polarization. In each case, the total charge remains the same. This is the law of conservation of charge. Conduction occurs when there is direct contact between materials that differ in their ability to give up or accept electrons.
Enter the value of p so that the expression 3(4+n) is equivalent to 3(n+p)
Answers
4
Step-by-step explanation:
Since 3(4+n) is equivalent to 3(n+p), 4 would be the correct answer
A machine at a food-distribution factory fills boxes of rice. The distribution of the weights of filled boxes of rice has an
approximately Normal distribution, with a mean of 28.2 ounces and a standard deviation of 0.4 ounces. What
percentage of filled boxes of rice have a weight between 28 and 29 ounces?
Find the z-table here.
O 33.1%
O 36.7%
O 63.3%
66.9%
Answers
Answer:
D
Step-by-step explanation:
I got it right
Using the normal distribution, it is found that 66.9% of filled boxes of rice have a weight between 28 and 29 ounces.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by: [tex]\mu = 28.2, \sigma = 0.4[/tex].
The proportion of filled boxes of rice have a weight between 28 and 29 ounces is the p-value of Z when X = 29 subtracted by the p-value of Z when X = 28, hence:
X = 29:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29 - 28.2}{0.4}[/tex]
Z = 2
Z = 2 has a p-value of 0.977.
X = 28:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 28.2}{0.4}[/tex]
Z = -0.5
Z = -0.5 has a p-value of 0.308.
0.977 - 0.308 = 0.669 = 66.9%.
More can be learned about the normal distribution at https://brainly.com/question/24663213
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Does this graph represent a function? Why or why not?
O A. No, because it fails the vertical line test.
B. No, because it is not a straight line.
O C. Yes, because it passes the horizontal line test.
O D. Yes, because it passes the vertical line test.
Answers
(Giving brainliest on this one to who ever helps!!)
The steps in an investigation between two negatively charged objects are listed below.
Step 1: Rub a cloth on two uncharged balloons to make them negatively charged.
Step 2: Bring the two negatively charged balloons together.
Step 3: Observe the repulsion between the two objects.
Which statement is true?
A) An object changes its charge when placed near another charged object.
B) Bringing two positively charged objects close together would result in attraction.
C) The two balloons do not have to touch for repulsion to be observed.
D) Two negatively charged objects will attract each other when they touch.
Answers
The two balloons both have a negative charge which means they won’t stick together, they will try and move away from each other.
Let’s use process of elimination.
We can eliminate B because the balloons are negatively charged, not positively charged. We can also eliminate D because when they both have the same charge, their will be no attraction.
We can also eliminate A because if we put the balloons close together, one of them won’t magically change to positive to make it attract to the negative charged balloon.
The only answer we have left is C. It is C because the balloons don’t need to touch each other for repulsion to be observed. Since both of them are negative they will want to stay away from each other.
Final Answer: C- The two balloons do not have to touch for repulsion to be observed.
I hope this helped you :)
Answer:
C) The two balloons do not have to touch for repulsion to be observed.
Step-by-step explanation:
Find the radius and diameter of a circular puddle whose
circumference is 220 cm . ( Take ∏ = 22/7)
Answers
Answer:
[tex]r = 35cm[/tex]
Step-by-step explanation:
Given
[tex]C = 220cm[/tex]
[tex]\pi = \frac{22}{7}[/tex]
Required
Determine the radius
Circumference (C) is calculated as:
[tex]C = 2\pi r[/tex]
Where r represents radius
Substitute values for C and [tex]\pi[/tex]
[tex]220cm = 2 * \frac{22}{7} * r[/tex]
[tex]220cm = \frac{44}{7} * r[/tex]
Multiply through by 7/44
[tex]\frac{7}{44} * 220cm = \frac{7}{44} * \frac{44}{7} * r[/tex]
[tex]r = \frac{7}{44} * 220cm =[/tex]
[tex]r = \frac{7 * 220cm }{44} =[/tex]
[tex]r = \frac{1540\ cm}{44}[/tex]
[tex]r = 35cm[/tex]
Hence, the radius is 35cm
Name the property illustrated By if 3x + 4y = 6 and x = 5 then 3(5) + 4y = 6
Answers
Answer:
Substitution property of equality
Step-by-step explanation:
Given
[tex]3x + 4y = 6[/tex]
[tex]x = 5[/tex]
[tex]3(5) + 4y = 6[/tex]
Required
Name the property used
From the question, we have that: [tex]x = 5[/tex]
This implies that 5 can be substituted for x in the given equation [tex]3x + 4y = 6[/tex]
So, when 5 is substituted for x, we have that:
[tex]3(5) + 4y = 6[/tex]
Conclusively, the property that was applies is the Substitution property of equality
Greatest common factor for 3,27, and 33
Answers
Answer:
it's 3.
Step-by-step explanation:
Here's why........3 only has 2 factors 1 and it's self and 3 times 9 is 27 and 3 times 11 is 33 they all have 3 as a factor.
Determine the function type. If it is a polynomial, state the degree of the polynomial and whether it is an even degree polynomial or an odd degree polynomial.
f(x)=[tex]\sqrt{x}[/tex]-3
Answers
Answer:
parent function: f(x)=√ x
It's not a polynomial
Step-by-step explanation:
Whats between 4 1/2 and 4 3/4
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]4 \frac{1}{2} = \frac{8 + 1}{2} = \frac{9}{2} = \frac{18}{4} \\ [/tex]
And ,
[tex]4 \frac{3}{4} = \frac{16 + 3}{4} = \frac{19}{4} \\ [/tex]
_________________________________
[tex]( \frac{18}{4} + \frac{19}{4} ) \div 2 = \\ [/tex]
[tex]( \frac{18 + 19}{4} ) \div 2 = \\ [/tex]
[tex]( \frac{37}{4} ) \div 2 = \\ [/tex]
[tex] \frac{37}{4} \times \frac{1}{2} = \\ [/tex]
[tex] \frac{37}{8} \\ [/tex]
Done...
Thus 37 / 8 is between those fractions.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
the actual length of a window that is 1 ½ inch long on a drawing with a scale of 1 inch = 6 feet?
Answers
Answer:
answer : 9 feet
Step-by-step explanation:
1 foot is 6 feet and a half foot is 3 feet so add them together.
A triangular playground has sides that are lengths 2x feet, x-1 feet and x feet. If the perimeter of this playground is 27 feet, what are the
lengths of each side of the playground?
Answers
Answer:
The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet
Step-by-step explanation:
At first, let us find the perimeter of the playground
∵ Perimeter of a triangle is P = S1 + S2 + S3
∵ The sides of the triangular playground are (2x) ft, (x - 1) ft, and x ft
∴ S1 = 2x, S2 = x - 1, S3 = x
→ Substitute them in the rule of the perimeter above
∵ P = 2x + x - 1 + x
→ Add the like terms
∴ P = (2x + x + x) - 1
∴ P = 4x - 1
∵ The perimeter of this playground is 27 feet
∴ P = 27
→ Equate the two values of P
∴ 4x - 1 = 27
→ Add 1 to both sides
∴ 4x - 1 + 1 = 27 + 1
∴ 4x = 28
→ Divide both sides by 4
∵ [tex]\frac{4x}{4}[/tex] = [tex]\frac{28}{4}[/tex]
∴ x = 7
→ Substitute the value of x in each side to find their lengths
∵ S1 = 2(7)
∴ S1 = 14 feet
∵ S2 = 7 - 1
∴ S2 = 6 feet
∵ S3 = 7 feet
∴ The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet
This month nathan has used 3 gallons of milk on his cereal. Each time he eats cereal he uses 1/12 gallon of milk. How many bowls of cereal did he eat this month?
Answers
Answer:
36 bowls!
Step-by-step explanation:
12 times 3 gallons is 36!
HOPE THIS HELPS!
Answer:
36 bowls of cereal
explanation...
12 bowls per gal.
12×3= 36
Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. After 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob? $ per month
Answers
Answer:
Can you tell me the concept?
Step-by-step explanation:
Answer: $2
Step-by-step explanation:
If Jacob makes $174 every 3 months that is $58 per month
and Victoria makes $360 every 6 months that is $60 per month
what is 400 times 6000 =
Answers
Answer:
2400000
Step-by-step explanation:
4×6=24
then put all zero together