8
Diameter;
Radius:
B
(a) Find the perimeter of the square
(b) Find the area of the square Area =
(c) Find the circumference of the circle C = 2πr
(d) Find the area of the circle. Area = πr²
(e) Find the area of the region between the square and the circle
answer: A: 16
B: 16
C: 12.57
D: 12.57
E: 3.43 (do area of square-area of circle 16-12.57
what is the unit rate of 72/4
Answer:
18
Step-by-step explanation:
Answer:
18/1 so basically 18
Step-by-step explanation:
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Consider the following statements about the effect of different values of a on the function y = ab^x. Which one of the statements, if any, is incorrect?
A. Values of a such that |a| > 1 will vertically stretch the graph of y = b^x.
B. Values of a such that 0 < |a| < 1 will vertically compress the graph of y = b^x.
C. Negative values of a will reflect y = b^x across the y-axis.
D. All of the above statements are correct.
No, There is no any sentences are incorrect.
Hence, All sentences are correct.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Consider the following statements about the effect of different values of a on the function,
⇒ y = a bˣ
Now, We know that;
For the value of a such that |a| > 1
The graph of y = bˣ is vertically stretch.
And, For the values of a such that 0 < |a| < 1;
The graph of y = bˣ is vertically compress.
And, When we take negative value of a.
Then, Function reflect y = bˣ across the y-axis.
Thus, There is no any sentences are incorrect.
Hence, All sentences are correct.
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Find the slope of the line that contains the following points:
(5, 4) and (3, -4)
Answer:
slope = 4
Step-by-step explanation:
y2-y1/x2-x1 = slope
-4 - 4 / 3 - 5 = slope
-8/-2 = slope
8/2 = slope
4/1 = slope
4 = slope
A geometric sequence is shown below.24, 12, 6, ...Which is the explicit formula for this sequence?
ANSWER
\(a_n=24\mleft(\frac{1}{2}\mright)^{n-1}\)EXPLANATION
The generic formula for a geometric sequence is:
\(a_n=ar^{n-1}\)a is the first term of the sequence:
\(\begin{gathered} a_1=ar^{1-1} \\ a_1=ar^0 \\ a_1=a \end{gathered}\)Therefore, a = 24.
Then, with the second term we can find r:
\(\begin{gathered} a_2=24r^{2-1} \\ 12=24r \\ r=\frac{12}{24} \\ r=\frac{1}{2} \end{gathered}\)The explicit formula for this sequence is:
\(a_n=24\mleft(\frac{1}{2}\mright)^{n-1}\)what is the answer.
in miami fl, a rental car company charges $0.45 per mile and a flat fee of $20.00 for renting the car
The equation that shows the total cost of renting the car from the company is y = 0.45x + 20
How to solve an equation?An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.
Let y represent the total cost of renting a car from a company and travelling x miles.
The rental car company charges $0.45 per mile and a flat fee of $20.00 for renting the car, hence:
y = 0.45x + 20
The equation is y = 0.45x + 20
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An equation of a circle is given as (x + 6)2 + (y − 7)2 = 81. Find the center and radius of the circle.
The equation of a circle is written as (x – h)^2 + (y – k)^2 = r^2
h and k are the center point and r is the radius.
In the given equation h = -6 and k = 7 and r would be the square root of 81, which is 9.
Center (-6,7)
Radius = 9
The required center is \((-6,7)\) and the radius is 9 units.
Given equation is,
\((x + 6)^2 + (y-7)^2 = 81\)....(1)
Equation of the circle: The general equation of the circle with the center (a,b) and the radius r is represented by,
\((x-a)^2+(y-b)^2=r^2\)...(2)
We can write the given equation as,
\((x + 6)^2 + (y-7)^2 = (9)^2\)
Comparing equations (1) and (2) we get,
The Centre of the given circle is \((-6,7)\)
The radius of the given circle is 9 units.
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is 40 000 less than 43 987
Answer:
Of course.
Step-by-step explanation:
Hope it helps you:)
Order the following from Least to Greatest: 0, -4 1/4, -1/2, 1, -3 3/5, 2, -4.1, -0.6, 23/5, 6, -1, 4.5, -5, 2.1
Answer:
-5, -4 1/4, -4.1, -3 3/5, -1, -0.6, 0, 1, 2, 2.1, 4.5
Step-by-step explanation:
Use 1% or 10% method to estimate. Show all work. 38% of 15
Use 1% or 10% method to estimate. Show all work. 4% of 220
Use 1% or 10% method to estimate. Show all work. 29% of 75
would like it soon, its homework due in a bit.
Answer:
DIVIDE THE TWO ANWSER
Step-by-step explanation:
There are 40 students in a class. 4 of them are absent, then find the
percent of present students.
Please help by writing down the steps as well.
Answer:
90%
Step-by-step explanation:
present students:40-4=36
36/40*100
=90%
Answer:
90% are present
Step-by-step explanation:
40-4=36
36 are present
36/40 = x/100
36x100=3600
3600/40=90
answer: 90/100 = 90%
A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total admission fees were $900, and 350 people attended the fair. How many children attended the fair that day?
80 children
150 children
200 children
320 children
The number of children that attend the fair on the day tha 350 were present in the fair is 200
How to calculate the number of children in the fairThe number of children in the fair is obtained by solve a simultaneous equation generated as follows
let x be the number if children be x and the number of adults be y. such that
x + y = 350
and from the cost we have
$3y + $2x = 900
the two equations are
x + y = 350
3y + 2x = 900
solving simultaneously with a calculator
x = 200 and y = 150
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Will give 100 points to anyone who can find the arc measure and show work! thanks!
Answer:
2π/3 radians----------------------
Given:
Arc length (s) = 8π/3 Radius (r) = 4 kmTo find the arc measure (θ) in radians, we can use the formula:
s = rθNow, plug in the given values:
8π/3 = 4θTo solve for θ, divide both sides by 4:
(8π/3) / 4 = θSimplify the expression:
2π/3 = θSo, the arc measure (θ) is 2π/3 radians
There are 800 pupils at Stoke College in Years 7, 8 & 9 in total. There are 27% of them
in Year 7,38% in Year 8. How many pupils are in Year 9?
Answer:
280 pupils
Step-by-step explanation:
27 + 38 + x = 100 Find what percentage is the Year 9 which is 35%
800 x 0.35 = 280 pupils
A popular restaurant advertises that it delivers its orders within 30 minutes. Suppose the average delivery time for one store is 27 minutes with a standard deviation of three minutes. One particular order delivery has a z-score of –2.15. Which of the following statements is not a correct interpretation?
A.The delivery time was 2.15 standard deviations below the average delivery time.
B.The delivery time was less than the average delivery time by 2.15 standard deviations.
C.The delivery time was faster than the average delivery time by 2.15 standard deviations.
D.The delivery time was slower than the average delivery time by 2.15 standard deviations.
Answer: B. The delivery time was less than the average delivery time by 2.15 standard deviations.
Step-by-step explanation:
Given: A popular restaurant advertises that it delivers its orders within 30 minutes.
Suppose the average delivery time for one store is 27 minutes with a standard deviation of 3 minutes.
z-score value represents the number of standard deviations is the data value is far from mean.
Here, z-score = -2.15 which clearly indicates that the delivery time was 2.15 standard deviations below( '-' sign suggest value is below mean) the average delivery time.
Hence, the correct option is B.
Answer:
B
Step-by-step explanation:
Use the numerals 1,7,7,7, and 7 to create the number 100
Answer:
\(77\div.77\cdot1\)
Step-by-step explanation:
What we're basically looking for here are ways to get 100 using these numbers.
My immediate first thought was "can we divide the 7's by some 7's to get 100?"
I know that \(7 \div .7=10\), so I had the idea to make it \(77 \div .77 = 100\). This means that we can use the number 7 four times in the equation \(77 \div .77=100\).
However, we're still missing a 1 that we need to include. This is easy, we can just multiply \(77 \div .77\) by 1.
So in conclusion, we get \(77 \div .77\cdot1\)
Hope this helped!
Answer:
177 - 77 = 100
Step-by-step explanation:
there are basically 4 7s
77-77 = 00
177 - 77 = 100
hope this helps (^▽^)
What is the slope for a line that is perpendicular to the line X equals -6
Answer:
0
Step-by-step explanation:
Since x=6 is a vertical line, the slope is undefined. The perpendicular line is horizontal and the slope is 0.
Answer:
m = 1/6
Step-by-step explanation:
By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other.
Let:
original slope = \(m_{1} = -6\)
perpendicular slope = \(m_{2}\) = reciprocal of \(m_{1}\).
Therefore, given that the first line has a slope of -6 (or -6/1), then the slope of the perpendicular line is 1/6.
To check if the answer is correct, if you multiply \(m_{1}\) and \(m_{2}\), the answer will be - 1:
\((\frac{-6}{1}) (\frac{1}{6}) = \frac{-6}{6} = -1\)
z = -3x +5y
Minimum value of z?
Answer:
minimum value of z is 0
Step-by-step explanation:
if x and y both equal zero, then the value of z is zero, which is your answer.
The volume of a right cylinder is 64πcm^.if the height is 4cm,how long it's radius?
Answer:
The radius is 4cm.
Step-by-step explanation:
Formula: V = πr²h
Given:
V = 64π cm²
h = 4 cm
Asked: radius 'r'
Solve for the value of radius:
V = πr²h
64π = πr²(4)
64π = 4πr²
Divide both sides by 4π
64π/4π =4πr²/4π
16 = r²
Extract the square root
r = +-4
Take only the positive value as we're dealing with dimensions
r = 4cm
PLEASE HELP ME I DONT HAVE MUCH TIME NO LINKS PLEASE! Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all
possible points.
90 = [10+ (32 – 4)]
Answer:
A. 52-=0
Hope to help again
multiply write the answer in simplest form 7/8 x 2 1/3
Answer:
2 1/24
Step-by-step explanation:
1. \(\frac{7}{8} * \frac{7}{3}\)
2. \(\frac{7*7}{8*3}\)
3. \(\frac{49}{24}\)
4. \(2 \frac{1}{24}\)
Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. Which equation represents this direct variation?
Please help!!
Answer:
i wanna say B
Step-by-step explanation:
Answer: y = 1/5x
Step-by-step explanation:
Those numbers both equal 1/5
Factor the polynomial completely.
x4 + 2x2 - 35
Answer:
\((x^2+7)(x^2-5)\)
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
I don’t understand how to do this can’t oh help me please I’m so struggling
It is necessary to expand the natural numbers to rational numbers or real numbers in order for division to always result in one number rather than a quotient plus a remainder. The answer will be 4.4.
What is division mean?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.
At a fundamental level, the process of counting how many times one number is included within another is referred to as the division of two natural numbers. This number of times need not be integer. For instance, if 20 apples are distributed equally among 4 persons, each person will get 5 apples.
When no more full chunks of the size of the second number can be allocated during the computation of the quotient, the division with remainder or Euclidean division of two natural numbers yields an integer quotient, which is the number of times the second number is entirely contained in the first number, and a remainder, which is the portion of the first number that remains.
It is necessary to expand the natural numbers to rational numbers or real numbers in order for division to always result in one number rather than a quotient plus a remainder. In these expanded number systems, division operates in the opposite direction as multiplication, i.e., a = c / b implies that, if b is not zero, a b = c. This is a division by zero, which is not defined, if b = 0. In the case of the twenty-one apples, there would be no leftovers because each person would get five apples and a quarter of an apple.
Different algebraic structures, or ways of defining mathematical structure, use both modes of division. These are known as Euclidean domains and contain polynomial rings in one indeterminate space where a Euclidean division (with remainder) is defined (which define multiplication and addition over single-variabled formulas). Fields and division rings are those where a division (with a single result) by all nonzero elements is defined. The elements in a ring by which division is always feasible are known as the units; in the ring of integers, this would be 1 and 1. The quotient group is another way to apply division to algebraic structures; in this case, the outcome of "division" is a group rather than a number.
Just divide 3.96 by 0.9
\(\frac{3.96}{0.9}\)= 4.4
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Write an equation of the line with the given slope 2/3 and y-intercept -8
Use y = mx + b
m = 2/3
b = -8
the answer is y = 2/3x - 8
Which mapping diagram does not represent a function?
Answer:
A.
Step-by-step explanation:
The definition of a function is that each input has only 1 output. That does not mean that 2 different inputs can not have the same output. A. shows that the number 3 has 2 outputs. My explaining is not that good but trust me.