Answer:
6, I believe?
Step-by-step explanation:
300/6=50
750/6=125, and
900/6=150, so I think it's 6 bracelets, if i'm wrong you can call me dumb.
Indira can make the 150 maximum number of bracelets.
Given that, Indira has 300 blue beads, 750 red beads and 900 silver beads.
We need to find what is the maximum number of bracelets she can make with these beads.
What is the greatest common factor?The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder. To calculate GCF, there are three common ways- division, multiplication, and prime factorization.
Now, 300=2×2×3×5×5
750=2×3×5×5×5
900=2×2×3×3×5×5
So, GCF of 300, 750 and 900=2×3×5×5=150
Therefore, Indira can make the 150 maximum number of bracelets.
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if the probability of winning a carnival game was 2/5 and max played it five times, write an expression that would calculate the probability he won the first three games and lost the last two. use exponents to express your final answer, but do not evaluate.
PLEASSEE HELP! WILL GIVE BRAINLIEST IF CORRECT
Please explain how you got your answer
What's 147845 * 144454?
9514 1404 393
Answer:
21,356,801,630
Step-by-step explanation:
The product can be found using any calculator that will display 11 digits or more.
Of course, it can also be found by long multiplication (second attachment). Many students learn this method in 5th grade.
Answer:
21,356,801,630
Step-by-step explanation:
just use a calculator
What is the equation in point−slope form of the line passing through (1, 2) and (2, 5)?
(5 points)
A.) (y − 2) = −3(x − 1)
B.) (y − 2) = 3(x − 1)
C.) (y − 1) = −3(x − 2)
D.) (y + 2) = 3(x + 1)
Please make sure the answer is correct
Answer:
B
Step-by-step explanation:
First, find the slope by using change in y divided by change in x.
Change in y = 5 - 2 = 3
Change in x = 2 - 1 = 1
This means that the slope is 3/1 = 3.
Then, you put it in the point-slope form so:
(y - 2) = 3(x - 1)
Solving T(n) = 2T(n/2) + log n with the recurrence tree method
The solution of the recurrence relation T(n) = 2T(n/2) + log n with the recurrence tree method is T(n) = n log n - n + O(n0).
How to solve the recurrence equationTo solve the recurrence equation T(n) = 2T(n/2) + log n with the recurrence tree method, we need to follow these steps:
1: Write the given recurrence relation in the form of T(n) = aT(n/b) + f(n), where f(n) = log n, a = 2, and b = 2.
2: Draw the recurrence tree by starting at the top of the tree with the given value of T(n) and then recursively applying the recurrence relation to obtain its subproblems.
3: Solve the subproblems of the recurrence relation and calculate the cost of each level of the tree. The cost of each level of the recurrence tree is obtained by multiplying the number of nodes at that level by the cost per node.
4: Add up the costs of all levels of the recurrence tree to obtain the total cost of the algorithm.
The recurrence tree for the given recurrence relation is shown below:
Recurrence tree
The recurrence tree consists of log n levels, where each level j (0 ≤ j ≤ log n) has 2j nodes, and the cost of each node is log(n/2j).
The cost of each level j is therefore 2j log(n/2j).
The total cost of the algorithm can be obtained by adding up the costs of all levels, i.e.,T(n) = Σj=0logn-1 2jlog(n/2j) + O(n0)T(n) = n log n - n + O(n0)
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The three basic trigonometric substitutions are in the table below. Integral Contains Use Substitution x = a sin 0 √a²-x² √T² Va² + x² [2] - x = a sec 0 x = a tan 0 Use a trigonometric substitution to evaluate J T3 1+z² dr. 2. Evaluate J T³ -5r² - 9r - 18 3 r²-3x - 18 dr. 3. Consider the improper integral In r x² dr. (a) Find the area A(t) under the curve y = In z 2 from r 1 tort where f> 1. (b) Find the limit of A(t) as t→[infinity]. (c) Circle the appropriate answer choice and fill in the blank below. The improper integral converges / diverges to
(a)The area A(t) under the curve y = In z 2 from r 1 tort where f > 1 can be calculated as follows: We need to calculate the integral of y = In z 2, when the range is from 1 to t (t > 1), and the domain is from 0 to infinity.
Let z = x².Then dz/dx = 2x.dx = dz/2x. Limits of integration for z are as follows:
Lower limit = 12 = 1.
Upper limit = t².(∵ When z = t², x = t.)
Therefore, the integral becomes:\(∫(y = In z 2)dr = ∫In (x²)2.dx\)
On integrating, we get: \(A(t) = 2[tIn (t²) - t + 2] - 2[In 2 - 1] = 2[tIn (t²/2) - t + 3].\)
(b)When t → ∞, t² will be very large and can be considered as infinity.
Therefore, we can calculate the limit of A(t) as t → ∞, by substituting t² with infinity.
\(A(t) = 2[tIn (t²/2) - t + 3] = 2[(1/2)In (infinity) - t + 3] = ∞.\)
Therefore, the limit of A(t) as t → ∞ is ∞.(c)The improper integral converges to ∞.
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Donovan rode 135 miles on his bike at a unit rate of 27 miles per hour. How many hours did he spend riding?
Answer:
5 HOURS
Step-by-step explanation:
Answer:
5 hours
Step-by-step explanation:
what's x in 2x+1=11
Answer:
5
Step-by-step explanation:
5*2=10
10+1=11
Answer:
2x - 1 = 11
2x = 11 + 1
2x = 12 (divide both sides by 2 to get x)
2x/2 = 12/2
x = 6
Step-by-step explanation:
im not 100% sure
What is the length of the dotted line in the diagram below? Round to the nearest
tenth.
The length of the dotted line in the diagram is 8.6 unit
To find the length of the base of the rectangle apply the Pythagorean theorem in the triangle
Hypotenuse² = Base² + height²
Base of the triangle = 4
Height of the triangle = 3
Hypotenuse² = 4² + 3²
Hypotenuse² = 25
Hypotenuse = 5
Now, applying the Pythagorean theorem in the rectangle
Hypotenuse² = Base² + height²
Here, Base of the rectangle = 5
Height of the rectangle = 7
Hypotenuse² = 5² + 7²
Hypotenuse² = 74
Hypotenuse = 8.6
Hypotenuse = Length of the dotted line
Length of the dotted line = 8.6
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The question is incomplete complete question is :
What is the length of the dotted line in the diagram below? Round to the nearest tenth.
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. (5 points) −5x − 25 = 78 Step 1: −5x − 25 − 25 = 78 − 25 Step 2: −5x = 53 Step 3:negative five times x over negative five = fifty-three over negative five Step 4: x = negative fifty-three over five Group of answer choices Step 1: She should have added 25 to each side. Step 1: She should have divided both sides by −5. Step 3: She should have divided both sides by −5. Step 3: She should have multiplied both sides by −5.
Answer:
x = -20.6
Step-by-step explanation:
Step 1: −5x − 25 − 25 = 78 − 25
Should be
Step 1: -5x-25+25=78+25
Step 2: -5x=103
Step 3: Divide both sides by -5: x = -20.6
Answer:
Option A. Step 1: She should have added 25 to each side
Step-by-step explanation:
I got it right on my quiz :)
For every 7 push-ups Dulce can do, Sara can do 6. If Ducle did 28 push-ups during gym class, how many push-ups did sara do?
The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.
How to solve ratio?Number of push ups Dulce can do : number of push ups Sara can do
Let
number of push ups Sara does = x
7 : 6 = 28 : x
7/6 = 28/x
cross product
7 × x = 28 × 6
7x = 168
divide both sides by 7
x = 168/7
x = 24
Therefore, Sara does 24 push ups during the gym class.
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Of the 120 rooms in a hotel, 55% are single-bed rooms, 30% are double-bedrooms, and the rest are deluxe rooms. How many deluxe rooms are there?
There are 18 deluxe rooms in the hotel.
To find the number of deluxe rooms in the hotel, we need to calculate the percentage of rooms that are deluxe.
The percentage of single-bed rooms is 55%, and the percentage of double-bedrooms is 30%. Therefore, the percentage of deluxe rooms can be calculated as:
Percentage of deluxe rooms = 100% - (Percentage of single-bed rooms + Percentage of double-bedrooms)
= 100% - (55% + 30%)
= 100% - 85%
= 15%
So, 15% of the total rooms in the hotel are deluxe rooms.
To determine the number of deluxe rooms, we can multiply the total number of rooms by the percentage of deluxe rooms:
Number of deluxe rooms = 15% of 120 rooms
= (15/100) * 120
= 0.15 * 120
= 18
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What is the probability of choosing an ace from a standard deck of 52 playing ?
Answer:
48/52
Step-by-step explanation:
The probability of picking up an ace in a 52 deck of cards is 4/52 since there are 4 aces in the deck. The odds of picking up any other card is therefore \(52/52 - 4/52 = 48/52.\)
I hope this helps and have a great day!
Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
PLS HELP! and actually answer the question please
Step-by-step explanation:
First start with the graph of y = | x|
then shift it RIGHT one unit
| x -1 |
then shift it DOWN one unit
y= |x-1| -1
The Ohio Department of Education maintains records of average number of years of teaching experience for each public school in the state. During the 2012-2013 school year, it was reported that the average number of years of teaching experience at Ohio high schools was 14.3 years. Suppose that an intern working in educational policy research wants to determine whether the average number of years of teaching experience of teachers in Ohio high schools changed between the 2012-2013 and 2013-2014 school years. The intern selected a random sample of 13 high schools, and average number of years of teaching experience for the 2013 2014 school year at each of these 13 schools is recorded below. Prior years' data suggest that mean teaching experience at Ohio public high schools is normally distributed. 12,16,7,11,10,15,20,12,11,15,12,15,13 If you wish, you may download the data in your preferred format. CrunchIt! CSV Excel JMP Mac Text Minitab14-18 Minitab18+ PC Text R SPSS TI Calc Use a two-tailed one-sample t-test to determine whether average number of years of teaching experience at Ohio high schools during the 2013-2014 school year was different from 14.3 years. Have the requirements for a one-sample t-test been met? If they have not been met, leave the remaining questions blank. a. Yes, the intern selected a random sample from a normally distributed population, and his sample contains no outliers. b. Yes, the intern selected a random sample that is normally distributed and contains no outliers c. No, the intern selected a random sample from a normally distributed population, but his sample is too small.
The requirements for a one-sample t-test have not been met because the sample size is too small to assume a normal distribution and to detect outliers effectively.
The intern selected a random sample of 13 high schools, which is not large enough to assume that the sampling distribution of the mean is approximately normal. Additionally, the sample size may not be sufficient to identify potential outliers that could affect the results.
Therefore, the requirements for a one-sample t-test have not been satisfied.
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what are the coordinates of B if the midpoint of line segment AB is (2, -5) and the coordinates of point A is (4, 4)?
To best estimate the quotient in scientific notation. what number should replace m?
6.33x 10
1.79x 103
3 x 10"
Answer:
m = 4
Step-by-step explanation:
The complete question is:
Given:
6.33 x 10 ⁹ / 1.79 x 10⁵ ≈ 3 x \(10^{m}\)
To find:
To best estimate the quotient in scientific notation. what number should replace m?
Solution:
The equation is:
6.33 x 10 ⁹ / 1.79 x 10⁵ = 3 x \(10^{m}\)
Let x = 9 and y = 5 then the above equation becomes:
6.33 x \(10^{x}\) / 1.79 x \(10^{y}\) = 3 x \(10^{m}\)
Since we know that the exponent property is:
quotient \(quotient \frac{z^{x} }{z^{y} } = quotient z^{x-y}\)
Now converting the given equation in the form above we get:
6.33 / 1.79 x \(10^{x-y}\)
6.33 / 1.79 x \(10^{9-5}\)
Now the quotient is 6.33/1.79 ≈ 3.536313
quotient x \(10^{9-5}\)
3.536313 x \(10^{9-5}\)
Since 9-5 = 4 So
3.536313 x \(10^{4}\)
3.536 x \(10^{4}\)
Hence
6.33 x 10 ⁹ / 1.79 x 10⁵ ≈ 3.5 x \(10^{4}\)
Hence m = 4
find the work in ft-lb done by winding up a hanging cable of length 100 ft and weight-density 5 lb/ft
the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.
A force applied across a distance is what is referred to as work.
In this problem,
the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft).
Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.Work is a force applied across a distance, and it is measured in a unit of energy called foot-pounds. In this problem, the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft). Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done. This means that 500 ft-lb of energy must be expended in order to move the cable 100 ft. This energy can be provided by a variety of sources, such as human labor, a motor, or some other mechanism.
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taylor is selling a painting at the local fair. she spent 45 dollars in materials. how much of a profit will she make if she marks it up by 50 percent then sells it at a 25 percent discount?
The initial cost of materials ($45) from the final selling price ($50.63) to find the profit. Taylor will make a profit of $5.63 on the painting. Taylor's profit can be calculated by subtracting her expenses from the selling price of the painting.
First, let's determine the selling price after the 50% markup. To do this, we need to add 50% of Taylor's expenses ($45) to the cost of materials.
50% of $45 = $22.50
$45 + $22.50 = $67.50
So Taylor's selling price after the markup is $67.50.
Next, let's calculate the discounted selling price after the 25% discount. To do this, we need to subtract 25% of the selling price from the selling price.
25% of $67.50 = $16.88
$67.50 - $16.88 = $50.62
So Taylor's discounted selling price is $50.62.
We can calculate Taylor's profit by subtracting her expenses from the discounted selling price.
$50.62 - $45 = $5.62
Therefore, Taylor will make a profit of $5.62 if she marks up her painting by 50% and sells it at a 25% discount. To determine Taylor's profit, we first need to find the marked-up price and then the final selling price after the discount.
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What is reciprocal of -4/1
Answer:
-1/4
Step-by-step explanation:
A reciprocal is simply defined as the inverse of a value or a number. So if we have a fraction of - 4/1 we can just flip the numerator and the denominator to get -1/4.
reflect the points p(4,-3) and q(7,2) on the line which passes through the origin and point (4,4).state the coordinate of image p and q
Answer:
P' (- 3, 4 ) , Q' (2, 7 )
Step-by-step explanation:
the line passing through the origin and (4, 4 ) has equation
y = x
a point reflected in the line y = x
(x, y ) → (y, x ) , then
P (4, - 3 ) → P' (- 3, 4 )
Q (7, 2 ) → Q' (2, 7 )
How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$) [asy] unitsize(1.5 cm); draw((0,0)--dir(60)--(1,0)); draw((0,0)--(1,0)); draw((0,0)--dir(-60)--(1,0)); label("$A$", (0,0), W); label("$B$", (1,0), E); [/asy]
Answer:
There are $\boxed{3}$ paths from $A$ to $B.$
Help me on this……………
a. The width of the gap is 2cm
b. There are two ways Mr Goh can stack up 20 completed stools. And the lowest possible height is 4.8 metres.
How to calculate the gap width and height of the stool.Length of A = 3/8 × 64cm
Length of A = 24cm
Given that the volume of B and C is the same, then:
total length of B and C = 64cm - 24cm
total length of B and C = 40cm
length of B = 20cm and length of C = 20cm
a. The width of the gap in the stool is calculated by subtracting the width of B and C from the length of A
24cm - 22cm = 2cm
b. 20 completed stools can be stacked either standing or by it sides, so they can be stacked in two ways.
height of stacking 20 stools standing = 20 × (20 + 11)cm = 620cm
height of stacking 20 stools by its side = 20 × 24cm = 480cm
620cm = 6.2m
480cm = 4.8m
Therefore, the width of the gap is 2cm. There are two ways Mr Goh can stack up 20 completed stools. And the lowest possible height is 4.8 metres.
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I don't understand how to do this.
Answer:
It's not a right triangle
Step-by-step explanation:
Picture attached
In a population with a standard deviation of σ = 5, a score of X = 44 corresponds to a z-score of z = 2.00. What is the population mean?
a. 49
b. 54
c. 39
d. 34
As per the standard deviation, the population mean is option (d) 34.
We are also given that a score of X = 44 corresponds to a z-score of z = 2.00. A z-score is a measure of how many standard deviations a particular data point is away from the mean of the distribution. A z-score of 2.00 indicates that the data point (44) is two standard deviations above the mean of the distribution.
Now, we can use this information to find the population mean. We know that the formula for calculating a z-score is:
z = (X - μ) / σ
Where X is the data point, μ is the population mean, and σ is the standard deviation.
Plugging in the values we know, we get:
2.00 = (44 - μ) / 5
Solving for μ, we can cross-multiply and simplify:
10 = 44 - μ
μ = 44 - 10
μ = 34
Therefore, the population mean is 34, which is option (d) in the given choices.
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Plz, Help Me Quickly!!!
What is the equation of a horizontal ellipse with a major axis = 12 and a minor axis = 10?
The equation of the horizontal ellipse is \(\frac{x^2}{144}+\frac{y^2}{100}=1\)
Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
The standard form of an ellipse with horizontal major axis is:
\(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)
Where a > b
since a = 12, b = 10, hence:
\(\frac{x^2}{12^2}+\frac{y^2}{10^2}=1\\\\\frac{x^2}{144}+\frac{y^2}{100}=1\)
The equation of the horizontal ellipse is \(\frac{x^2}{144}+\frac{y^2}{100}=1\)
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Choose the property used to rewrite the expression. Log4 7 + log4 2= log4 14 Commutative Property Power Property Product Property Quotient Property
The property used to rewrite the expression is the Product Property.
The given expression is log4(7) + log4(2) = log4(14). In this expression, we are trying to identify which logarithmic property has been used. The Product Property of logarithms states that logb(x) + logb(y) = logb(xy), where b is the base, and x and y are the values being logged. Comparing this property with our given expression, we see that the base (b) is 4, x is 7, and y is 2. So, log4(7) + log4(2) = log4(7 * 2) = log4(14). As we can see, the expression follows the Product Property of logarithms, and therefore, that is the property used to rewrite the given expression.
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Alexton the Skeleton borrowed $4000 or 5 years
at a 6% simple interest rate to pay for his band
equipment. How much interest is that?
Answer: $1,200
Step-by-step explanation:
If you use the simple interest formula, I = (p)(r)(t), you’ll replace it with I = 4,000 x 0.06 x 5 it’ll give you $1,200 :)
The current population of Tanzania is 50.3 million with a population growth rate of 2.14% per year. The average annual agricultural yield in Tanzania is 8,670 kg/ha (where "ha" means hectare, which you can think of as a metric acre), a yield that is comprised of both grains (e.g. maize/corn) and tubers (e.g. cassava root) in a 1:1 ratio. The total amount of cropland farmed in Tanzania is 4,000,000 ha. The average agricultural output has increased at a linear rate of about 1.5% per year for the last five years or so. Ideally, one person should have a caloric intake of at least 2000 kcal per day in order to maintain their life. 1 kg grain supplies 3000kcal;1 kg tubers supplies 1000 kcal. Use the equations from our mini-lecture and the linear growth equation from the last module's quantitative assignment, to answer the following questions. You will also have to do some conversions for which you won't find specific equations. Using what you know about exponential growth as we've described it, what would you predict the population of Tanzania to be 5.5 years ago? Round your answer to one place past the decimal and put your answer in "millions", so that if your answer is 55,670,000 your answer is 55.7 Million and you would enter 55.7 as your answer.
The predicted population of Tanzania 5.5 years ago is approximately 46.1 million. This estimation is based on the current population, the population growth rate, and the formula for exponential population growth.
To predict the population of Tanzania 5.5 years ago, we need to use the population growth rate and the current population.
The formula for exponential population growth is:
P = P0 * e^(rt)
Where:
P = population after time t
P0 = initial population
r = growth rate (expressed as a decimal)
t = time in years
e = Euler's number (approximately 2.71828)
Given information:
Current population (P0) = 50.3 million
Growth rate (r) = 2.14% per year
Time (t) = -5.5 years (5.5 years ago)
Converting the growth rate to decimal form:
r = 2.14% = 0.0214
Substituting the values into the formula:
P = 50.3 million * e^(0.0214 * -5.5)
Calculating the exponential growth:
P = 50.3 million * e^(-0.1177)
P ≈ 46.1 million
Rounding the answer to one decimal place and expressing it in millions, the predicted population of Tanzania 5.5 years ago is approximately 46.1 million.
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