Which of the following is most likely the next step in the series?
)DO
O A.
• B.
•
Answers
Following the pattern, the most likely next step in the series is given by the pentagon in option B.
What is the most step for the series?We have to look at the number of points in each figure, hence:
The first figure, with the line segment, has two points.The second figure, with the triangle, has three points.The fourth figure, with the rectangle has four points.Hence, the number of points increases by one for each figure, meaning that in the next step, the figure should have 5 points, representing a pentagon.
Among the options given for the answer, only one, option B, has 5 points, with the pentagon, as:
Option A has one point.Option C has four points.Option D has three points.Hence, the most likely next step in the series is given by the pentagon in option B.
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Related Questions
Which formula can you use to find b?
A. a/sin(A) = b/sin(B)
B. c • sin(B) = b • sin(a)
C. b^2 = a^2 + c^2 - 2ac • cos(B)
D. B^2 = a^2 + c^2 - 2ac • cos(b)
Answers
The formula we can use to find the side b is b² = a² + c² - 2ac cosB
Sine and cosine ruleThe measure of sides and angles of a triangle are determine using the cosine and sine rule.
A triangle is a shape that has 3 sides and angles. For a triangle with angles ABC and sides a, b and c, the cosine rule is used as shown;
c² = a² + b² - 2ab cosC
The sides that is being determined will determine the angles that will be at the right hand side of the expression so that;
b² = a² + c² - 2ac cosB
Hence the formula we can use to find the side b is b² = a² + c² - 2ac cosB
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Answer:
C. b^2 = a^2 + c^2 - 2ac • cos(B)
Step-by-step explanation:
Which polynomial function is graphed below?
Answers
The graph of the polynomial function is (x+4) (x-2) ²
Polynomial function: what is it?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.
AROUND THE GIVEN PARABOLA,
WE HAVE A POLYNOMIAL FUNCTION;
f(x)=(x+4)(x-2)²
at x=0
the value of f(x)=16
at x=-2
the value of f(x)=32
hence for every value of f(x)=(x+4)(x-2)² is true .
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5-2/5f+3/2f=f-1/2f+4
Answers
Answer:
[tex]f=-\frac{5}{3}[/tex]
Step-by-step explanation:
a company makes a table for $15 and sells it for $19 what is the percent of markup
Answers
Answer:
126.6667%
Step-by-step explanation:
An Apple Computer store sells computers for $1,234.88. Assuming the computers cost $10,896 per dozen. Find the dollar markup for each computer. Note: Round your answer to the nearest cent. Find the percent markup on cost for each computer. Find the percent markup on selling price for each computer.
Answers
If an Apple Computer store sells computers for $1,234.88 and the computers cost $10,896 per dozen, then the dollar markup for each computer is $326.88 and the percentage markup is 36%
Given,
An Apple Computer store sells computers = $1234.88
The cost of computers per dozen = $10896
Cost of one computer = [tex]\frac{10896}{12}[/tex] = $908
Then the dollar markup for each computer = 1234.88-908
=$326.88
Percentage markup = [tex]\frac{326.88}{908}[/tex]×100
=36%
Hence, If an Apple Computer store sells computers for $1,234.88 and the computers cost $10,896 per dozen, then the dollar markup for each computer is $326.88 and the percentage markup is 36%
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5.) Joey is saving money for a car that will cost at least $2500. His grandpa gave him. $460 and he is currently saving $15 each week. Write and solve an inequality to represent the number of weeks it will take Joey to save up for his car.
Answers
15x + 460 ≥ 2500
Undo addition
15x + 460 -460 ≥ 2500 - 460
15x ≥ 2040
Divide to undo multiplication
X ≥ 136
The Johnsons have accumulated a nest egg of $40,000 that they intend to use as a down payment toward the purchase of a new house. Because their present gross income has placed them in a relatively high tax bracket, they have decided to invest a minimum of $2400/month in monthly payments (to take advantage of the tax deduction) toward the purchase of their house. However, because of other financial obligations, their monthly payments should not exceed $3000. If local mortgage rates are 4.5%/year compounded monthly for a conventional 30-year mortgage, what is the price range of houses that they should consider? (Round your answers to the nearest cent.)
Answers
Using the monthly payment formula, the price range of houses that they should consider is:
[$513,666.78, $592,083.48].
What is the monthly payment formula?It is given by:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which:
P is the initial amount.r is the interest rate.n is the number of payments.For this problem, the parameters are given as follows:
r = 0.045 -> r/12 = 0.045/12 = 0.00375.n = 30 x 12 = 360.The minimum price, discounting the down payment, is found when A = 2400, hence:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]2400 = 0.00375P\frac{(1.00375)^{360}}{(1.00375)^{360} - 1}[/tex]
[tex]P = \frac{2400[(1.00375)^{360} - 1]}{0.00375 \times (1.00375)^{360}}[/tex]
P = $473,666.78.
Considering the down payment, we add $40,000, hence the minimum value of the range is: $513,666.78.
The maximum price, discounting the down payment, is found when A = 3000, hence:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]3000 = 0.00375P\frac{(1.00375)^{360}}{(1.00375)^{360} - 1}[/tex]
[tex]P = \frac{3000[(1.00375)^{360} - 1]}{0.00375 \times (1.00375)^{360}}[/tex]
P = $592,083.48.
Considering the down payment, we add $40,000, hence the maximum value of the range is: $592,083.48.
Hence the price range is:
[$513,666.78, $592,083.48].
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Kingwood's zoo has two elephants. The male elephant weighs 5/8 of a ton and the female elephant weighs 1/2 of a ton. How much more does the male weigh than the female?
Answers
. Verify the concepts you havelearned about the Law of Acceleration in doing some problem – solving exercises.1.The rising concern among athletic trainers regarding concussions among football playershas prompted numerous studies of the effectiveness of protective head gears.
1.One study suggests that concussions may result from impacts rated at 740 m/s2. If a player’s head mass (with helmet) is 6 kg and considered to be a free body, then what net force would be required to produce an acceleration of 740 m/s2?2.Captain John Stapp of the U.S. Air Force tested the human limits of acceleration by riding on a rocket sled of his own design.
2.His rocket sled, known as the Gee Whiz, had a mass of about 82 kg. What net force would be required to accelerate Gee Whiz and 82 kg Stapp at 450 m/s2 (the highest acceleration tested by Stapp)?3.Space Shuttle Max is one of the extreme rides in Enchanted Kingdom.
3.The first of its kindin the country, the roller coaster ride inverts its riders six times. If during one of its operations, a 53 kg boy experiences a net force of 1800 N at the bottom of its roller coaster loop, how fast would he be accelerating at this location
Answers
Try this opttion
Step-by-step explanation:
[tex]1. \ F=m*a; \ = > \ F=740[\frac{m}{s^2} ]*6[kg]=4440[N];[/tex]
[tex]2. \ F=m*a; \ = > \ F=82[kg]*450[\frac{m}{s^2}]=36900[N]=36.9[kN];[/tex]
[tex]3. \ F=m*a; \ = > \ a=\frac{F}{m}; \ = > \ a=\frac{1800}{53}=33.9623[\frac{m}{s^2}].[/tex]
Challenge: A scuba diver has 30 cubic feet of air in his tank and dives under the water at
3:15pm. When he resurfaced at 3:30pm, he had 12 cubic feet of air left. How many cubic
feet of air per minute did he use?
Answers
The cubic feet of air the scuba diver used per minute is 1.2 cubic feet of air per minute
Unit rateQuantity of air in his tank = 30 cubic feetTime he dives in = 3:15pmTime he resurfaced = 3:30pmQuantity of air remaining in the tank = 12 cubic feetCubic feet of air used per minute = Difference in quantity of air in his tank / difference in time
= (30 - 12) / (3:30pm - 3:15pm)
= 18 / 15
= 1.2 cubic feet of air per minute
Therefore, the cubic feet of air the scuba diver used per minute is 1.2 cubic feet of air per minute
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I need to know the answer to this ASAP, which of these aren’t equivalent please help.
Answers
Answer:
b
Step-by-step explanation:
cuz remember () and no parentheses has a different meaning
Using the mileage chart below, find the distance between Sturgis and Hot
Springs.
Answers
The distance between the Sturgis and Hot springs is 102 miles.
We have a mileage chart,
We have to estimate the distance between Sturgis and Hot Springs.
What is mileage chart ?A chart showing distances between various points in miles is called mileage chart.
According to the question -
The horizontal row with the name Sturgis intersects the vertical column with the name Hot springs at the block representing 102 miles.
Therefore, the distance between the Sturgis and Hot springs is 102 miles.
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The side-lengths of a triangle are increased by a scale factor of 4. Predict
how this change will affect the area.
A. The area will be one-fourth the original area.
B. The area will be 4 times greater.
C. The area will be 16 times greater.
D. The area will be increased by 4 units.
Answers
If the side-lengths of a triangle are increased by a scale factor of 4 then the area will be 16 times greater.
As given in the question,
Let 'a' be the base of the triangle
and 'h' be the height of the triangle
Area of the triangle = (1/2)×a× h
Side length increased by scale factor 4
New base = 4a
New height=4h
New area=(1/2)×4a×4h
= 16×(1/2)×a ×h
= 16 times the original area
Therefore, if the side-lengths of a triangle are increased by a scale factor of 4 then the area will be 16 times greater.
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1. 4(-20) 2. (-8)(-5)
3. (-10)(0) 4. (-9)(-21)
5. 11(-1) 6. 18(-4)
Answers
2.40
3.0
4.189
5.-11
6.-72
& Quinn is reading a book with 788 pages. She is on page 329.
About how many more pages does Quinn have left to read?
Explain your reasoning.
Answers
There are about 460 pages left for Quinn to read
About how many more pages does Quinn have left to read?The given parameters are
Pages = 788
Pages read = 329
The number of pages does Quinn have left to read is
Pages left = Pages - Pages read
So, we have
Pages left = 788 - 329
Evaluate
Pages left = 459
Hence, there are about 460 pages left for Quinn to read
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A certain missing number will result in the expression 20 + 24 when using the Distributive Property. What number must be multiplied by ( 5 + 6 ) to result in the expression: 20 + 24
Answers
Answer:
4
Step-by-step explanation:
You want to know what number, multiplied by (5 +6), gives 20 +24.
Distributive propertyFor some number 'a', you want ...
a(5 +6) = (20 +24)
We can solve for 'a' in the usual way.
11a = 44 . . . . simplify
a = 44/11 = 4 . . . . divide by the coefficient of 'a'
The missing number is 4: 4(5 +6) = 20 +24.
__
Additional comment
You can also look at it term by term:
5a = 20 ⇒ a = 4
6a = 24 ⇒ a = 4 . . . . the same factor, as you want it to be
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
Answers
4m+2mm+m2+m+3m2 simplified
Answers
4m^2+7m
I did this before
Six less than a number is four more than one-third of the number. Find the number.
Answers
Answer:
x - 6 = 1/3x + 4
x = 15
Hope this helps :)
Hope this helps :)Explanation and Check part below.
Step-by-step explanation:
1. Get the variable on one side by subtracting x.
x - 6 = 1/3x + 4
- 1 x - 1 x
- 6 = - 2/3x + 4
2. Subtract 4 which is the inverse operation of addition.
- 6 = - 2/3x + 4
- 4 - 4
- 10 = - 2/3x
3. Divide by - 2/3 which is the invers eoperation of multiplication.
- 10 = - 2/3x
- 2/3 - 2/3
(Keep,Change,Change - KCC method)
- 10 ÷ - 2/3 = - 10 × - 3/2 = 30/2 = 15
- 10 = - 2/3x
- 2/3 - 2/3
15 = x → x = 15
Check:
15 - 6 = 1/3(15) + 4
9 = 15/3 + 4
9 = 5 + 4
9 = 9
True statement.
which of these probability values indicates an event that is certain to happen
-0.80
-0.60
0.50
1
Answers
0.50 and 1 probability values indicates an event that is certain to happen
An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1.
Probability of an event can not be negative.
We can easily discard first two options i.e. -0.80 and -0.60 as they are negative values.
Last two options i.e., 0.5 and 1 are positive values and they also lies in the range from 0 to 1. We can say that these values are considerable.
Final answer: 0.50 and 1 probability values indicates an event that is certain to happen
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Pablo necesita
7
8 de litro de leche para preparar una bebida. La jarra que usa tiene graduadas las medidas de 1
1
2 litros y
3
4 de litro, como se observa en esta figura.
Answers
Answer:
i don't speak Spanish but I think it's 3
Use the information given to find a convenient class width. Then list the class boundaries that can be used to create a relative frequency histogram. (Round your class width up to the nearest multiple of 5. Use the minimum value as the smallest class boundary. Enter your class boundaries as a comma separated list.) 8 classes for n = 75 measurements; minimum value = 50; maximum value = 205
Answers
Class boundaries list: 50,70,90,110,130,150,170,190,210
1. Calculate the range.
range= maximum value - minimum value= 205 - 50 =155
2. Divide the range by the number of classes.
width= [tex]\frac{155}{8}[/tex] =19.375
3. Round this number up to the nearest multiple of five.
width = 20
class boundaries: smallest class boundry= minimum value =50
difference between two class boundries= width
class boundaries list: 50,70,90,110,130,150,170,190,210
The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.The statistical distributions' characteristics are described by the terms mean, median, mode, and range. The set of all potential values for terms that indicate predetermined events is known as a distribution in statistics. A term's value stated as a variable is referred to as a random variable.
The two main categories of statistical distributions are as follows. There are discrete random variables in the first category. This indicates that each phrase has a distinct, precise numerical value. A continuous random variable is present in the distribution of the second major kind. An unlimited number the of possible values can be represented by a continuous random variable.
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A pair of shoes is regularly priced at $80 and is on sale for 20% off. You have a coupon to receive an additional 15% off the sale price. How much will you pay for the shoes?
Answers
The customer would pay $54.40 for the shoes
What is the dollar value of the initial discount of 20%?
The dollar worth of the general discount of 20% of the price of $80 is determined as 20% multiplied by the shoe price
dollar worth of initial discount=20%*$80
dollar worth of the initial discount=$16
the price after the initial discount=$80-$16
the price after the initial discount=$64
The fact the customer has a coupon to receive additional 15% off the sale price means the purchase price for the customer is as computed thus:
final sale price=$64*(1-15%)
final sale price=$54.40
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Create an expression for the perimeter of the triangle.
Side 1: x
Side 2: x
Side 3: y
Answers
x+x+y
= 2x+y
whats 901513115/10293371972328287 X 1/2039 winner gets brainlist
Answers
(Score for Question 4: of 4 points)
4. Write the indicated conditional statements for the given statement.
Conditional Statement:
Converse Statement:
Inverse Statement:
Contrapositive Statement:
Biconditional Statement:
If a car is out of gas, then it will not run.
Assuming the original statement is biconditional, write the biconditional version of the statement:
Answers
The given statement is "A car is out of gas, and it will not run". The conditional statement can be given by using the word 'If'.
The conditional statement of the statement given in question is given by: If a car is out of gas, then it will not run. The Converse statement of the statement given in question is given by: If the car will not run, then it has no gas. The Inverse statement of the statement given in question is given by: If the car is not out of gas, then it will run. The Contrapositive statement of the statement given in question is given by: If the car will run, then it is not out of gas. The Biconditional statement of the statement given in the question is given by: If and only if the car is out of gas, then it will not run.
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Solve 2x2 + 5x = 12. (5 points)
Answers
1. 4 + 5x=12
2. 4+5(1.6)= 12
3. 4+8= 12
x=1.6
Question
If A {3,7,9,13, 22}, B = {5,7,14, 23, 31), and C= {8, 9, 15, 23, 25, 31, 33), then what is (AUB) nC?
Provide your answer below:
Answers
The distribution of the number of hours that a random sample of people spend doing chores per week is shown in the pie chart. Use 32 as the midpoint
for "30+ hours." Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the
data set
Click the icon to view the pie chart
First construct the frequency distribution.
Class Frequency, f
0-4
5-9
10-14
15-19
20-24
25-29
30+
CIB
4
Answers
The frequency distribution for the given data is:
0-4: 0.0349.5-9: 0.1512.10-14: 0.2558.15-19: 0.1977.20-24: 0.1628.25-29: 0.1512.30: 0.0465.Treating the frequency distribution as a discrete distribution, we have that:
The mean is of 16.71.The standard deviation is of 10.95.What is the missing information?The pie chart is missing, but is given at the end of the answer.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
A frequency distribution is composed by the relative frequencies of each outcome. From the pie chart, we have that there is a total of 3 + 13 + 22 + 17 + 14 + 13 + 4 = 86 people, hence the frequency distribution is given as follows:
0-4: 3/86 = 0.0349.5-9: 13/86 = 0.1512.10-14: 22/86 = 0.2558.15-19: 17/86 = 0.1977.20-24: 14/86 = 0.1628.25-29: 13/86 = 0.1512.30: 4/86 = 0.0465.What are the mean and the standard deviation of a discrete distribution?The mean of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.The standard deviation of a discrete distribution is given by the square root of the sum of the differences squared between each observation and the mean, multiplied by their respective probabilities.This is relevant because we want to treat the frequency distribution as a discrete distribution, taking the midpoint of each interval, hence:
P(X = 2): 0.0349.P(X = 7): 0.1512.P(X = 12): 0.2558.P(X = 17): 0.1977.P(X = 22): 0.1628.P(X = 27): 0.1512.P(X = 32): 0.0465.Hence the mean is:
E(X) = 0.0349 x 2 + 0.1512 x 7 + 0.2558 x 12 + 0.1977 x 17 + 0.1628 x 22 + 0.1512 x 27 + 0.0465 x 32 = 16.71.
The mean is of 16.71.
The standard deviation is found as follows:
S(X) = sqrt[0.0349 x (2 - 16.71)² + 0.1512 x (7 - 16.71)² + 0.2558 x (12 - 16.71)² + 0.1977 x (17 - 16.71)² + 0.1628 x (22 - 16.71)² + 0.1512 x (27 - 16.71)² + 0.0465 x (32 - 16.71)²] = 10.95.
The standard deviation is of 10.95.
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Helen is making 3 batches of cupcakes for a bake sale. Each batch is 1 2/3 pounds one cooked and packaged. How heavy will 3 batches be in pounds?
Answers
Answer: 5 lbs
Step-by-step explanation: 1 2/3 x 3= 5
Answer:
5 pounds
Step-by-step explanation:
1 2/3 x 3 = 5 :)