Answer:
S ≈ 9.8
Step-by-step explanation:
Finding central angle of circle A first
S=r∅
6.5 = (4)∅
Central angle = 6.5/4
C A = 1.63(in radians)
Now finding Arc EF
S = r∅
S = (6)(1.63)
S = 9.75
S ≈ 9.8
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 2), (2, 4), (3, 8), (4, 16)
Part A: Is this data modeling a linear function or an exponential function? Explain your answer.
Part B: Write a function to represent the data. Show your work.
Part C: Determine the average rate of change between station 2 and station 4. Show your work.
Answer:
She will need a time of 1024 units to complete the 10th station.
Step-by-step explanation:
A. As the quotient between consecutive terms is the same, the data is a geometric sequence.
B. The recursive formula is:
C. She will need a time of 1024 units to complete the 10th station.
In a sequence, if the difference between consecutive terms is the same, the sequence is arithmetic.
If the quotient between consecutive terms is the same, the sequence is geometric.
Item a:
When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.
The two shapes below are scaled copies
of one another. The base lengths are
shown. What is the scale factor going
from the first figure to the second?
15
6
Answer:
2/5 or 0.4.
Step-by-step explanation:
6/15 = 2/5
Mason was offered a job that paid a salary of $98,000 in its first year. The salary was
set to increase by 3% per year every year. If Mason worked at the job for 28 years,
what was the total amount of money earned over the 28 years, to the nearest whole
number?
Ok so first we do 0.03 x 98,000 = 7,840
Now 98,000 + 7,840 = 105,840
105,840 x 28 years = 2,963,520
A toy car costing $50 is on sale for 10% off. What is the sale price of the car? *
Your answer this should be easy
Answer:
$45.00
Step-by-step explanation:
A diver takes a running leap off of a 40 foot cliff into a pool of water. When she is 5 feet from the cliff,
she reaches a maximum height of 45 feet
Answer
Wow she can air walk
Step-by-step explanation:
write an equation in slope intercept form for a line that has a slope of 3 and passes through (-2,-11)
Answer:
y = 3x-5
Step-by-step explanation:
\(y-(-11)=3(x-(-2))\)
\(y+11=3(x+2)\)
\(y+11=3x+6\)
\(y=3x+6-11\)
\(y=3x-5\)
I hope this help you
What is the experimental probability of drawing a red marble, given the following results?
7/8
7/20
7/13
13/20
Here, number of Red marbles = 7
Total marbles = 20
Probability = favorable outcome / Total outcome
P = 7 / 20
In short, Your Answer would be Option B
1) Rational Exponent
What positive value of a makes the equation (2x + 5)% = 4 true?
The required value of x for which the given function will be true is x = 197.5.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
(2x + 5)% = 4
2x + 5 / 100 = 4
2x + 5 = 400
2x = 395
x = 197.5
Thus, the required value of x for which the given function will be true is x = 197.5.
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The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.
Answer:
The statements that can be used to compare the characteristics of the functions are:
1. g(x) has the greatest maximum value.
2. All three functions share the same domain.
Explanation:
- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.
- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.
- We can see that g(x) has the highest maximum value among the three functions, which is 8.
- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.
- We cannot say anything about the domain or range of f(x) based on the given table.
- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.
which statement correctly compares the two functions given below? f(x) =-32x-17 g(x) =-8x+12 A. Function f(x) decreases at a rate 4 times faster than function g(x) B. Function g(x) decreases at a rate 24 times faster than function f(x) C. Function g(x) decreases at a rate 4 times faster than function f(x) D. Function f(x) decreases at a rate 24 times faster than function g(x)
Answer: A
Step-by-step explanation:
Anyone know this or could help me out?
X-8=37 – 8(x + 9)
Plssss help meee
Answer:
x=-3
Step-by-step explanation:
What’s the slope. Jackie charges her phone over night. This graph shows how much the battery depletes on an hour basis
Answer:
slope (m) = 5
Step-by-step explanation:
rise/run, -10/-2 = 5
Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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Show or explain why 0.5% is not equal to 1/2
Answer:
1/2 is the same number as 0.5, so (1/2)% is the same as 0.5%. “Percent” means “per 100”, so 50% = 50/100 = 1/2. (1/2)% = (1/2)/100 = 1/200. In other words, 50% is the same as 1/2, but is not the same as (1/2)%.
Step-by-step explanation:
Suzy has 26 stickers. Bill has 4 times as many stickers as Suzy . How many stickers does bill have ?
Answer:
104
Step-by-step explanation:
26x4=104
Suzy has 26 stickers. Bill has 4 times as many stickers as Suzy. the total number of stickers bill has 104.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Suzy has 26 stickers. Bill has 4 times as many stickers as Suzy.
We can say that
The number of stickers Suzy has = 26
Bill has 4 times as many stickers as Suzy
So, the total number of stickers bill has
=\(26\times4\\\\104\)
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The table shows the proof of the relationship between the slope of two perpendicular lines what is the mission statement instead of five
When the table shows the proof of the relationship between the slopes of two perpendicular lines, the missing statement in step 2 is AB/CE = ED/BC.
How to illustrate the information?In this question you apply the side-Angle-side similarity property that makes the two right triangles similar.
In this property, the lengths of the corresponding legs of the two right triangles are proportional.
Therefore, Leg AB corresponds to leg CE
Leg ED corresponds to leg BC.
Therefore, it should be noted that AB/CE = ED/BC.
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The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?
A. AB/BC = ED/CE
B. AB/CE = BE/ED
C. AB/BC = CE/ED
D. AB/CE = ED/BC
Find the exact surface area of a sphere with a diameter of 13cm
Answer:
A = 530.929158457
Answer:
Area = 706.8583471
Explanation:
The used law to measure the surface area of the sphere is
\(area \: = 4\pi \: {r}^{2} \)
Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:
\(4\pi \: {7.5}^{2} = 706.8583471\)
If you like my explanation please give me 5 stars.Can you show that this quadrilateral is a
parallelogram?
Answer:
No
Step-by-step explanation:
First and one major drawback has come.
Paralleogram has two pair of opposite and parallel sides.Both are equal.
Here we can see that two parallel sides are not equal I e 59>53.So it's not a parallelogram.
Can someone please help, ty!!
8 in.
9 in.
16 in.
7 in.
15 in.
3 in. Need help please
Aleks topic please help
Answer:
Item price now= 3.95
Step-by-step explanation:
To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day
Which of the following would you see on a circle graph?
OA. Percentages
OB. Bars
C. Points
OD. A y-axis
A, percentages
You would see percentages on a circle graph, because it's how many parts of the whole that they take up.
Happy to help, have a great day! :)
Graph the function. y = 1^x
Over a 4 week period, randy clocks in the following work hours: 68, 71, 66, and 67. How many hours were in Randy’s average work?
Use the relationship represented in this Venn diagram to identify the true statement.
A. All trapezoids are rhombuses
B. All rhombuses are trapezoids
C. No trapezoids are rhombuses
D. No rhombuses are trapezoids
The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).
To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.
A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:
A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.
B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.
C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.
D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.
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Write an equation for the nth term of the arithmetic sequence 4,7,10,13
The solution is, the nth term of the arithmetic sequence 4,7,10,13 is 1 + 3n.
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.
The nth term of AP : a_n = a + (n – 1) × d
here, we have,
the arithmetic sequence 4,7,10,13
so. we get,
1st term = 4 = a
common difference = 3 = d
i.e. the nth term of the arithmetic sequence is, a_n = 4+(n-1)3
=1+3n
Hence, The solution is, the nth term of the arithmetic sequence 4,7,10,13 is 1 + 3n.
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The spinner shown is spun twice. Express your answer
as a simplified fraction.
7. Find P(the two numbers have an even sum).
8. Find P(two even numbers).
7) The probability that the two numbers have an even sum is: 0.5
8) The probability that the two are even is: 0.25
How to find the probability in a spinner?7) We want to find the probability that the two numbers have an even sum.
The only combinations that produces an even sum are:
(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)
The other combinations of numbers are:
(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)
Thus, we have a total of 16 combinations and the probability that the two numbers have an even sum is:
P(two numbers with even sum) = 8/16 = 0.5
8) The probability that the two are even is:
4/16 = 1/4
= 0.25
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Including a 8% sales tax, an inn charges $182.52 per night. Find the inn's nightly cost before tax is added.
Answer:
$169
Step-by-step explanation:
\(1.08c = 182.52\)
\(c = 169\)
A telemarketer makes 82 calls on the first day, then makes 40 calls each additional day. Write an explicit rule, find the 9th term, and explain what it represents.
Answer: 442 calls
Step-by-step explanation: to find the 9th term you multiply 40 by 9 which will give you 360. You then add 82 from that 1st day and you will get 442 calls. This represents the total amount of calls taken on the 9th day. The rule used is for each day multiply 40. After multiplying add 82.