To solve this we have to look at the number line:
We can see that if we move from left to right, 5.91 is greater than 5.1.
The sign used to represent this is:
5.1 < 5.91
Always the little part points to the smaller number.
What’s the factor of the expression?
The answer to this question: B
Meadow Academy's spring festival is coming up, and Ms. Rivera is in charge of ordering the butterfly kits again. She knows she ordered 6 cases of butterfly kits last year but can't remember how many kits come in a case. When she checks the records, Ms. Rivera finds that the school used 417 of the butterfly kits last year and had 63 left over after the festival. How many butterfly kits come in each case?
Answer:
Step-by-step explanation:
its 80 i just did the question
Each case contains 80 butterfly kits.
What is unitary method ?Unitary method is a mathematical technique for finding the value of a single unit and then deriving the given unit by multiplying with it.
According to the given question Ms. Rivera ordered 6 cases of butterfly kits last year out of which the school used 417 of the butterfly kits and had 63 left over after the festival.
So, the total no. of butterfly kits is (417+63) = 480 kits and it was contained in 6 boxes.
∴ The no. of butterfly kits in each case is 480/6 which is
= 80 butterfly kits.
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what is the area of the shaded area. Round to the nearest whole unit.
please help!!!
Answer:
69.53 or 70(depending on rounding)
Step-by-step explanation:
The squares area is (9*2)^2 which is 324.
The circles area is 9^2 pi or 254.47 approx.
Subtract and you get 69.53 or 70
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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Which of the following is the graph of f(x) = 5 cos (2x)? Select one: a. graph with points 0, 5 and pi over 4, 0 and pi over 2, negative 5 and 3 pi over 4, 0 and pi, 5 b. graph with points at 0, 0 and pi over 4, negative 3 and pi over 2, 0 and 3 pi over 4, 3 and pi, 0 c. graph with points 0, negative 5 and pi over 4, 0 and pi over 2, 5 and 3 pi over 4, 0 and pi, negative 5 d. graph with points at 0, 5 and pi over 4, 2 and pi over 2, negative 1 and 3 pi over 4, 2 and pi, 5
The required graph has been attached below that represents the function f(x) = 5 cos (2x).
The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.
Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.
The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).
Thus, the graph has been attached below that represents the given function.
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Select the correct answer.
What is the value of x in the triangle?
a 30-60-90 triangle with long leg length x and shorter leg length of 7 times the square root of 3
The length of the hypotenuse is 7m.
Let the side opposite to 30° be the shortest leg.
The side opposite to 60° is the longest leg.
So, the side opposite to 90° is hypotenuse.
Length of the shortest side is x.
Length of longest side is \(\sqrt{3}x\)
Length of the hypotenuse is 2x.
We know x = 7
So, \(\sqrt{3}(x)=\sqrt{3}(7)\)
Thus, the length of the longer leg is \(\sqrt{3}(7)\) m
Length of hypotenuse = 2x = 2(7) = 14m
\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)
Taking square root on both sides:
\(2x = \sqrt{196}\)
2x = 14
x = 7
Therefore, the length of the hypotenuse is 7m.
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Use a calculator to graph f(x) = 2x ^ 3 - 6x ^ 2 - 4x + 1 Which are the approximate x-values of the local maximum and local minimum rounded to the nearest tenth?
A) max ≈ -15.6 , min ≈ 1.6
B) max ≈ 1.6 , min ≈ -15.6
C) max ≈ 2.3 , min ≈ -0.3
D) max ≈ -0.3 , min ≈ 2.3
The approximate x-values for the local maximum and the local minimum are given as follows:
D) max ≈ -0.3 , min ≈ 2.3.
What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.Hence the critical points of the graphed function are given as follows:
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What percentage of votes did the last-place candidate receive?
The percentage of votes received by the last or fourth candidate in the example election is about 6.4%
What is a percentage?A percentage is a representation of a fraction of an b expressed using a denominator of 100.
A percentage is a representation of a part of whole as a fraction of 100
Therefore, the percentage of votes that a last place candidate in an election receives is the number of votes that the last candidate receives represented as a fraction of the total number of votes with the denominator of the fraction being 100.
An example of an election result is an election result in which the votes received by the four leading candidates can be presented as follows;
Party A = 8,794,726
Party B = 6,984,520
Party C = 6,101,533
Part D = 1,496,687
The percentage of votes received by the Party D is therefore;
% received by party D = ((1,496,687)/(8,794,726 + 6,984,520 + 6,101,533 + 1,496,687)) × 100 ≈ 6.4%The candidate of votes received by the fourth candidate, that received the least number of votes is 6.4%
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Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.
What are the dimensions of the cropped photo?
8 inches by 8 inches
9 inches by 9 inches
12 inches by 12 inches
13 inches by 13 inches
Answer:
x = 9 or B
Step-by-step explanation:
Formula
(x + 2)^2 = 121
Comment
The easiest way to do this is to take the square root immediately, which is usually possible.
Solution
√(x + 2)^2 = √121 Take the square root
x + 2 = 11 Subtract 2 from both sides
x + 2 - 2 = 11 - 2
x = 9
Answer: B) 9 inches by 9 inches
Step-by-step explanation:
Edg 2022
-1 19/50 as a decimal number, what is it?
Answer:-1.38
19/50=.38 in decimal form +(-1) = -1.38
Answer:
uytrfvvhhhhhhhjkklñññññlluuyjnkuyjuyjju
Two math classes took the same quiz. The scores of 10 randomly selected students from each class are listed below.
Sample of Class A: 75, 80, 60, 90, 85, 80, 70, 90, 70, 65
Sample of Class B: 95, 90, 85, 90, 100, 75, 90, 85, 90, 85
Based on the medians of the scores for each class, what inference would you make
about the quiz scores of all the students in Class A compared to all the students in
Class B? Explain your reasoning to justify your answer.
(written answer)
Answer:
The score of class b were better than the scores of class a.
the median for class a was 77.5
the median for class b was 90
therefore class b overall scored better on the quiz than class a
Step-by-step explanation:
hope this helps :)
Eleven billion four hundred seventy one million thirty six thousand one hundred six in words
Answer:
11471360106.
I think. I am not sure
Answer:
it is in words.
11,471,360,106
Step-by-step explanation:
A monopolistic firm's marginal revenue function is
dr 100q+43
dq q² +4q+3
=
where output (=demand) is measured in 100s of units/week and revenue is measured in
$1000s/week. The firm's marginal cost function is constant, de/dq= 3, and cost is also
measured in $1000s/week.
If the demand (= output) for the firm's good increases from 2000 units/week to 2500
units/week, then their weekly revenue increases by [Select]
and their
weekly profit changes by [Select]
Comment: pay attention to the units.
The weekly profit changes by $1000s/week.
What is profit?
The profit is defined as the amount gained by selling a product, and it should be more than the cost price of the product. In other words, the profit is a gain obtained from any business activities.
To find the increase in weekly revenue, we need to find the difference in revenue at the two output levels:
2500 units/week: Revenue = 100(2500) + 43 = 2543
2000 units/week: Revenue = 100(2000) + 43 = 2043
So the increase in weekly revenue is 2543 - 2043 = $500s/week.
To find the change in weekly profit, we need to subtract the change in cost from the change in revenue:
Change in cost: 2500 units/week - 2000 units/week = 500 units/week * 3 $1000s/week/unit = 1500 $1000s/week
Change in profit: $500s/week - $1500s/week = -1000
Hence, the weekly profit changes by $1000s/week.
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can u slove ASAP please
Answer:
B) 352
Step-by-step explanation:
45% = 0.45
640 x 0.45= 288
288 is how many students walked to school
So to find how many took the bus to school
640- 288= 352
Create an equation that has a solution of 6.
Find the domain and range of the relation. Also determine whether the relation is a function.
{(6,3), (8,5), (-4,-4), (5,5)}
The domain is:
D: {-4, 5, 6, 8}
The range is:
R: {-4, 3, 5}
And yes, the relation is a function.
How to determine the domain and range?
For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).
Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}
The domain is the set of the first values of each pair, so we have:
D: {-4, 5, 6, 8}
The range is the set of the second values of each pair:
R: {-4, 3, 5}
Now, is this a function?
Yes, it is a function, because each input is mapped into only one output.
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Stephen Curry makes 43.5% of his 3 point shots. In a typical season, Curry takes around 700 3 point shots. Assume Curry takes 700 3 point shots in the 2020 season, and those shots are independent and can be modeled using the binomial theorem. (Hint: Don't forget the continuity correction!)
a. Find the probability that Curry makes less than 300 3 point shots.
b. Find the probability that Curry makes more than 350 3 point shots.
Answer:
a. Find the probability that Curry makes less than 300 3 point shots.
Please help me and I need help with my 2 Ixls
if someone can please help me it will make me happy
Answer:
S = 40 square inches
Step-by-step explanation:
Surface area = area of base + area of lateral faces
Area of the base (square):
A = lw
A = 4(4)
A = 16
Area of lateral faces (triangle and there are 4 of them):
A = bh/2
A = 3(4)/2
A = 12/2
A = 6
Since there are 4 lateral faces, multiply the area by 4.
6 x 4 = 24
Surface area = 16 + 24
S = 40 square inches
Peter had 208 Canadian stamps and 186 Mexican stamps for sale. The stamps were mixed up and sold in packets of 6. How many packets of stamps were there? How many stamps were left over?
Answer:
65 packets and 4 stamps
Step-by-step explanation:
The first thing we see is that the stamps are mixed... which means they must be added.
208 + 186 = 394 stamps total
Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.
394/6= 65.66667
Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.
Now we find the number of stamps left over by multiplying the number of packets by 6.
65 x 6= 390
Now we take the total number of stamps minus the number of stamps in packets.
394 - 390 = 4
Therefore, there are four stamps left over.
Hope this helps!
For each ordered pair, determine whether it is a solution to 5x-8y=-29.
(x, y)
(-1, 3)
(6,5)
(0, -4)
(-9, -2)
Is it a solution?
Yes
O
O
O
O
No
O
Q
O
O
X
5
The ordered pairs (-1, 3) and (-9, -2) are solutions to the equation 5x-8y=-29.
We have,
To determine whether each ordered pair is a solution to 5x - 8y = -29, we need to substitute the given values of x and y into the equation and check whether the equation is true.
For the ordered pair (-1, 3).
5x-8y = 5(-1) - 8(3) = -5 - 24 = -29
Since -29 equals the right-hand side of the equation, this ordered pair is a solution.
For the ordered pair (6, 5).
5x-8y = 5(6) - 8(5) = 30 - 40 = -10
Since -10 does not equal the right-hand side of the equation, this ordered pair is not a solution.
For the ordered pair (0, -4).
5x-8y = 5(0) - 8(-4) = 32
Since 32 does not equal the right-hand side of the equation, this ordered pair is not a solution.
For the ordered pair (-9, -2).
5x-8y = 5(-9) - 8(-2) = -45 + 16 = -29
Since -29 equals the right-hand side of the equation, this ordered pair is a solution.
Therefore,
The ordered pairs (-1, 3) and (-9, -2) are solutions to the equation 5x-8y=-29, while the ordered pairs (6, 5) and (0, -4) are not solutions.
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answer as a decimal with 3 significant digits
Answer:
0.08330.75Step-by-step explanation:
There are four different color marbles.
Probability of blue:
P(B) = 1/4,Next, there are 3 marbles left in the bag since no replacement.
Probability of red after blue:
P(R) = 1/3The probability of these two steps in order:
P(Blue then Red) = 1/4*1/3 = 1/12 = 0.0833Complement of R is:
P(Rc) = 1 - P(R) = 1 - 1/4 = 3/4 = 0.75In the episode pertaining to the discovery of radium, all of the hypotheses turned out to be true.
a. true
b. false
Answer:
In the episode pertaining to the discovery of radium, it is false that all of the hypotheses turned out to be true.
There are some hypotheses in the episode thay turned out to be false.
Need help will give brainliest and 5 stars! :)
To write the given equation in logarithmic form, we can use the definition of logarithms. The equation 10^m = w can be rewritten as a logarithm with base 10: log10(w) = m
How to write in log formThe general relationship between exponents and logarithms is as follows:
base^(exponent) = result
In logarithmic form, it's written as:
log_base(result) = exponent
For our given equation, 10^m = w, we have:
base = 10
exponent = m
result = w
Applying the general logarithmic relationship, we write:
log10(w) = m
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A pirate was digging a hole on an island to bury his treasure. If he is able to dig a hole into the sand at 2 feet per minute, what integer would represent how deep the would be after 7 minutes?
Answer:
2(7) = 14 ft.
Step-by-step explanation:
That pirate must be a beast! or have an excavator.
Equation A is equal to (C + D) x (C + D). Equation B is equal to 2 x (C + D). If C and D were numbers that were greater than zero, which equation would give you a bigger value ? Equation A or Equation B ? Give an example for C and D that supports your answer. PLEASE HELP TIMED EXAM!!!!!
According to the question an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.
What is equation?Two equations are considered to be comparable when their roots and solutions line up. To create an equivalent equation, the identical quantity, symbol, or expression has to be added to or removed from both of the equation's two sides. We can also create a similar equation by dividing or multiplying each component of an equation with a nonzero value.
given,
To determine which equation would give a bigger value, we can compare the expressions obtained by expanding Equation A and simplifying Equation B.
Expanding Equation A, we get:
A = (C + D) x (C + D) = C² + 2CD + D²
Simplifying Equation B, we get:
B = 2 x (C + D) = 2C + 2D
To compare the values of A and B, let's choose some values for C and D that are greater than zero. Let's choose C = 3 and D = 2.
Plugging these values into Equation A, we get:
A = 3² + 2(3)(2) + 2² = 9 + 12 + 4 = 25
Plugging these values into Equation B, we get:
B = 2(3 + 2) = 2(5) = 10
Since A is greater than B for the values of C = 3 and D = 2, we can conclude that Equation A gives a bigger value than Equation B for positive values of C and D.
Therefore, an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.
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Question 9
Use Python to calculate how many number-based passcodes can be formed with 10 numerals (0 through 9). For a 1 numeral passcode, there would be 10 possibilities. For a 2 numeral passcode, each numeral is independent of the other, so there would be 10 times 10 possibilities. Using this information, print the amount of possible passwords that can be formed with 8 numerals. Note: Your result should be in the format of just a number, not a sentence.
The number of possible passcodes that can be formed with 8 numerals is 100,000,000.
For a 1 numeral passcode, there are 10 possibilities (0 through 9).
For a 2 numeral passcode, each numeral is independent of the other, so there would be 10 times 10 possibilities (10 x 10 = 100).
Following this pattern, for an 8 numeral passcode, each numeral is still independent of the others, so there would be 10 possibilities for each numeral. Therefore, the total number of passcodes is calculated by multiplying 10 by itself 8 times (10^8 = 100,000,000).
To obtain the result in Python, you can use the exponentiation operator (**):
```python
passcode_count = 10 ** 8
print(passcode_count)
```
This will calculate the total number of possible passcodes and print the result, which will be 100000000.
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if a football team played 160 matches and won 65 percent of them,how many matches did it win
Answer:
65 x 160 / 100 = 104
Step-by-step explanation:
(sec^2 theta-1)(csc^2 theta-1)
Answer:
1
Step-by-step explanation:
\(( { \sec}^{2} \theta - 1)( { \csc}^{2} \theta - 1) \\ \\ = { \tan}^{2} \theta. { \cot}^{2} \theta \\ \\ = 1\)
A total of 5000 tickets were sold for a raffle. the prizes are $1000, $500, $200, and $100. what price should be charged so there is a 60% profit per ticket?
Answer: $0.576
Step-by-step explanation:
The total amount in prizes is $1800.
For there to be 60% profit, the total cost of the tickets need to be \(1800(1.6)=\$ 2880\).
Thus, each ticket must sell for \(\frac{2880}{5000}=\$ 0.576\)
m.
x-intercept =
1/2
and y-intercept = 3
Write an equation for the line in point-slope form and in slope-intercept form
Answer:
slope intercept form: y= -6x+3
point slope form: y-0= -6(x -1/2)
Step-by-step explanation:
point slope form: y - y1 = m(x - x1)
substitute the values y-0=-6(x-1/2)
slope intercept form:
find the slope using two given points
m = (y2 - y1) / (x2 - x1)
= (3 - 0) / (0 - 1/2)
= 3 / (-1/2)
= -6
substitute into equation
y= -6x+3