Answer: 1, 2, 3, 6, 1
Step-by-step explanation:
When listing all the factors for 18, 30 ,54....
18 , 30 , 54 to find the common factors. The common factors for 18,30,54 18 , 30 , 54 are 1,2,3,6 1 , 2 , 3 , 6 . The GCF (HCF) of the numerical factors 1,2,3,6 1 , 2 , 3 , 6 is 6 .
( Hope this helps )
Barret is looking at a building on the school grounds which is shaped like a rectangle as shown. He knows the building has a height of 32x ft, width of 46x and the diagonal of the building is 200ft
The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.
Definition of Pythagoras Theorem:
The square of the long side of a right-angled triangle is equal to the sum of the squares of the other two sides.
It is stated in this formula:
[tex](side)^2+(side)^2=(hypotenuse)^2[/tex]
Given that,
Barrett is focusing on a rectangle-shaped structure on the school's property. He is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.
We must determine what x stands for.
We know that,
The height of building is 32x.
The width is 46x
The diagonal is 200 feet
So we form a triangle
From the Pythagoras theorem,
Hyp² = Side²+ Side²
200² = (32x)² + (46x)²
40000 = 1024x² + 2116x²
3140x² = 40000
x² = 12.73
Square root on both sides
x = √12.73
Therefore, The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.
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Overview
b)
Question Progress
a)
2
4
ܠ
5
6
7
Solve the equation.
8
10
Homework Progress
I think of a number, multiply it by three, and add four. I get twenty two
20/23 Marks
Using the statement above, form an equation.
Use the letter 'x' for the unknown number.
+
Answer:
Step-by-step explanation:
a) Just work backwards!
Instead of adding 4, subtract by 4
Instead of multiplying by 3, divide by 3
22 - 4 / 3 = x
b)
22 - 4 = 18
18 / 3 = 6
Therefore, x = 6
which equation is standard form has a slope of -2/5 and passes through the point (5,-8)
The equation of the line with a slope of -2/5 and passing through the point (5, -8) in standard, slope-intercept, form is; y = -0.4·x - 6
What is an equation?An equation consists of expressions and or numbers, expressed to be equivalent, by joining them with an '=' sign.
A standard form of the equation of a straight line is the slope-intercept form, which can be presented as follows; y = m·x + c
Where;
m = The slope of the graph of the equation
c = The y-intercept
The equation in the slope-intercept form can be obtained from the point-slope form, using the details of the slope of the graph of the equation (-2/5), and the point through which the graph of the equation passes (5, -8)
The point-slope of the equation is therefore;
y - (-8) = (-2/5)×(x - 5)
y + 8 = -2·x/5 + 2
y = -2·x/5 + 2 - 8 = -2·x/5 - 6 = -0.4·x - 6
The equation with a slope of -2/5 and passing through the point (5, -8), therefore is; y = -0.4·x - 6
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Here are the ingredients needed to make 16 chocolate biscuits.
-chocolate biscuits
makes 16 chocolate biscuits
100g of butter
50g of caster suger
120g of flour
15g of cocoa
sabrina wants to make chocolate biscuits for 24 people
how much of each ingredients will she need?
create a frequency distribution, this time separating results for sex categories. include in your analysis the appropriate measure of central tendency. are there any differences in their measures? explain.
a) Median will be an appropriate measure for the distribution. b) Mean will be an approprate measure for the distribution.
Here we already have the data available to us. From the data, we can clearly see that
Mode < Mean < Median
Hence this is a negatively skewed distribution.
Therefore the appropriate measure of central tendency for this distribution will be the median. The median will tell us the point at which the frequency is divided by 50%.
Hence we can say that the median will a more appropriate measure.
Now if the data has another aspect of sex included, then the frequency column would be divided into separate columns with each gender identity taking up its own column.
Since now this will become multivariate data, the best measure of central tendency will be Mean.
The difference in the measure of central tendency will depend upon how skewed the data for every sex will be. For example, if in a country, men preferred to be educated over women, then the mean for men will be a lot higher than that of women. On the other hand, the EDUC for women will be a lot lower.
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kevin and jerome are cleaning a pool together. kevin can clean the pool on his own in 4 hours and jerome can clean the pool on his own in 6 hours. how many hours will it take the two boys working together to clean the pool?
It would take the two boys working together 2.38 hours to clean the pool.
The formula for working out the time it would take two people to complete a job when working together is:
T(combined) = 1 / (1/T1 + 1/T2)
Where T1 is the time it takes one person to complete the job and T2 is the time it takes the other person to complete the job.
In this case, T1 is 4 hours for Kevin and T2 is 6 hours for Jerome.
To solve the equation:
T(combined) = 1 / (1/4 + 1/6)
T(combined) = 1 / (0.25 + 0.17)
T(combined) = 1 / 0.42
T(combined) = 2.38 hours
Therefore, it would take the two boys working together 2.38 hours to clean the pool.
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Which combined inequality has the same solution set shown in the graph of x?
Number line ranging from negative four to four, with a line beginning with an open point at negative three and ending with a closed point at negative one
Responses
–3 ≤ x > –1
–3 ≤ x > –1
–3 ≤ x < –1
–3 ≤ x < –1
–3 < x ≤ –1
–3 < x ≤ –1
–3 > x ≥ –1
(Theoretical Probability MC)
Joseph has a bag filled with 3 red, 3 green, 9 yellow, and 10 purple marbles. Determine P(not green) when choosing one marble from the bag.
92%
88%
24%
12%
The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.
What is the meaning of probability and it will be calculated?To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.
The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.
This is equal to 22/25 * 100 = 88% as a percentage.
As a result, P(not green) = 88%
Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.
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you can improve this result by measuring dictionaries together. if you want to know the thickness of 1 page with an uncertainty of only 7.0 x 10-7 in., what is the minimum number of (whole) dictionaries that you need to measure together?
The minimum number of (whole) dictionaries that you need to measure together is s ≤ 7.0 x 10⁻⁷
Measurement is the process of determining the size, amount, or degree of something, usually using an instrument or a tool.
To determine the thickness of one page in a dictionary, you can measure a number of dictionaries together and average the results.
To achieve an uncertainty of only 7.0 x 10-7 inches in your measurement of one page, you need to determine the minimum number of dictionaries that you need to measure together.
Let's assume that you have N dictionaries and the thickness of the i-th dictionary is xi. Then, the average thickness of one page is given by:
(x1 + x2 + x3 + ... + xN) / N = x
The uncertainty in the average thickness of one page is given by:
s = √(∑((xi - x_bar)²)/(N-1)) / √(N) = √(∑((xi - x_bar)²)/N²(N-1))
We want to find the minimum value of N such that the uncertainty in the average thickness, s, is less than or equal to 7.0 x 10⁻⁷ inches.
So, we have:
s <= 7.0 x 10⁻⁷
Complete Question:
1. You have a set of calipers that can measure the thicknesses of a few inches with an uncertainty of + 0.0050 inches. You measure the thickness of one Oxford American Dictionary (2096 pages) and get 2.51 in.
You can improve this result by measuring dictionaries together. If you want to know the thickness of 1 page with an uncertainty of only 7.0 x 10⁻⁷ in., what is the minimum number of (whole) dictionaries that you need to measure together?
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me pueden decir los múltiplos de 5? porfas:(
Los múltiplos de 5 son 5,10,15,20,25,30,35,40,45,50,..........
Definición de múltiplosLos múltiplos son números que se multiplican por un número con un entero positivo (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, etc.). En términos simples, un múltiplo es el producto de un número con otro número (enteros enteros, no fracciones ni decimales).
Los números múltiples son mayores o iguales que el número en sí. Esto se debe a que el primer múltiplo se multiplica por 1. Entonces, el primer múltiplo es el número mismo. Un número o números pueden tener múltiplos de una lista ilimitada de múltiplos. Porque los números se pueden multiplicar continuamente por otros enteros más grandes.
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What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 13 cm wide, and 9 cm tall?
The longest line segment that can be drawn in a right rectangular prism with dimensions of 14 cm long, 13 cm wide, and 9 cm high is about 21.2 cm.
The right triangular face's hypotenuse is another name for this diagonal, which is also referred to as the space diagonal.
In this instance, the right triangle face with sides of 14, 13, and 9 cm can be taken into consideration. With the Pythagorean theorem in use,
we have:
14² + 13² + 9² = c²
196 + 169 + 81 = c²
446 = c²
c = [tex]\sqrt(446)[/tex]
c = 21.2 cm (rounded to the nearest tenth)
So the longest line segment that can be drawn in a right rectangular prism with dimensions of 14 cm long, 13 cm wide, and 9 cm high is about 21.2 cm.
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Which of the following statements are true about the right triangle? Select all that apply.
Answer:
the answer is B) and E)
Step-by-step explanation:
it's not that complicated, just have to subtract 12 from 37
Answer:This is a right triangle.One of the legs has a length of 20.
Step-by-step explanation:
A mathematical ________________ is a statement that contains _______________, _________________, and ___________________.
A mathematical theorem is a statement that contains hypotheses, conclusions, and proofs.
What in arithmetic is a theorem?Mathematics revolves around the theorems. A thorough proof is a specific kind of logical reasoning that has been used to demonstrate the truth of a claim, which is what a theorem is.
Which mathematical theorem is the hardest?"When n is higher than 2, there are no pretty much the entire number answers to the problem xn + yn = zn." This equation, also referred to as "Fermat's Last Theorem," was presented for the first time by French scientist Pierre de Fick in 1637 and had baffled the world's greatest minds for further than three centuries.
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A man keeps birds in a big cage in his garden
2/5 of the birds are brown
4 of the birds of black
the rest of the birds are white
the man takes a bird out the cage at random
the probability that this bird is black is 0.2
how many of the birds in the cage are white
On the first day of a trip, George traveled 295.6 kilometers. On the second day of the trip, George traveled twice as far as he did on the first day. How far did George travel all together during the two days of the trip?
Answer:
591.2 kilometers
Step-by-step explanation:
times 295.6 × 2 and you will get 591.2
For the following right triangle, a= 6, b=4. Find the length of c. I don't understand
Answer:
[tex]c=2\sqrt{13[/tex]
Step-by-step explanation:
In a right triangle, to find the hypotenuse (c) you use Pythagoras theorem. Which is [tex]a^2+b^2=c^2[/tex]. Once we plug in our variables we get [tex]6^2+4^2=c^2[/tex], then we solve.
[tex]36+16=c^2[/tex]
[tex]52=c^2[/tex]
[tex]\sqrt{c^2} =\sqrt{52}[/tex]
[tex]c=\sqrt{52}[/tex]
If we simplify...
[tex]c=2\sqrt{13}[/tex]
For a moving object, the force on the object varies directly with the objects acceleration. When a force of 30 N acts on a certain object, the acceleration of the object is 10 m/s^2. If the force is changed to 9 N, what will be the acceleration of the object?
Answer: The force on an object is directly proportional to its acceleration, which means that if the force is increased, the acceleration will also increase, and if the force is decreased, the acceleration will decrease. This can be expressed mathematically as:
F = k * a
where F is the force, a is the acceleration, and k is a constant of proportionality.
We can use the given information to find the value of k:
30 N = k * 10 m/s^2
k = 3 N*s^2/m
Now we can use this value of k to find the acceleration when the force is 9 N:
9 N = 3 Ns^2/m * a
a = 3 Ns^2/m / 9 N
a = 1/3 m/s^2
Therefore, the acceleration of the object when the force is 9 N is 1/3 m/s^2.
Identify the percent of change as an increase or a decrease.
5/4
to 3/8
The percent of change from 5/4 to 3/8 is a 70% decrease.
To find the percent of change, we need to determine the difference between the original amount and the new amount, and then divide that difference by the original amount and multiply by 100 to express the answer as a percentage.
Let's first convert both fractions to decimals:
5/4 = 1.25
3/8 = 0.375
Next, let's find the difference between the original amount (1.25) and the new amount (0.375):
1.25 - 0.375 = 0.875
Finally, let's divide the difference by the original amount and multiply by 100 to express the answer as a percentage:
(0.875 / 1.25) * 100 = 70
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Albert Einsteen is experimenting with 2 unusual clocks which both have 24-hours displays. Once clock goes at
twice the normal speed. The other clock goes backwards, but at the normal speed. Both clocks show the correct time
at 13:00. What is the correct time when the displays on the clock next agree?
The correct time when the displays on the clocks next agree is 01:00.
Let's assume that one hour on the normal clock is equal to x.
The clock that goes twice as fast takes x/2 hours to show one hour on the normal clock.
And the clock that goes backward takes 24 - x hours to show one hour on the normal clock.
At 13:00, both clocks show the correct time.
So, x/2 + x = 24 - x + x.
Simplifying the equation:
24 = x + x/2
Multiplying both sides by 2:
48 = 2x + x
Subtracting x from both sides:
48 - x = 2x
Solving for x:
x = 24
So, one hour on the normal clock is equal to 24 hours.
The clock that goes twice as fast will show one hour in 24/2 = 12 hours.
And the clock that goes backward will show one hour in 24 - 24 = 0 hours.
So, when the displays on the clock next agree, it will be 12 + 0 = 12 hours after 13:00, which is 01:00.
So the correct time when the displays on the clocks next agree is 01:00.
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A department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. What is the percent markup? A department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. What is the percent markup?
The percent markup of a department, if they sell 300 shirts at a cost of $9 each is 50%
According to the question, we learn that a department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. This means :
The selling price of 300 shirts = 300 × $9
The selling price of 300 shirts = $2700
Selling price > cost price i.e., 2700 > 1800
when selling price is greater than cost price it means department store made a profit.
Profit = selling price - cost price
Profit = 2700 - 1800 = $900
Profit percentage = profit/ cost price × 100
Profit % =[tex]\frac{900}{1800} \times 100[/tex]
Profit % = 50%
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Compare the volume and surface area of a sphere with a radius of 5 in. with that of a cube that has sides measuring 8.06 in.
1: The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.
2: The volume of the sphere is approximately equal to the volume of the cube, but the cube has a greater surface area.
3:The volume of the cube is greater than the volume of the sphere, but the sphere has a greater surface area.
4:The sphere and the cube have approximately the same volume and surface area.
The correct statement is : The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.
What are the surface area and volume of a sphere?Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.
Given here: A sphere with 5 in. radius and a cube with side measuring 8.06 in.
Volume of the sphere is
V=4/3πr³
=4/3·π·5³≈523.59878 in³
Surface area of the sphere is
A=4πr²
=4·π·5²≈314.15927 in²
Now volume of the cube
a³=8.06³
≈523.60662 in³
Surface area of the cube
A=6a²
=6×8.06²
≈389.7816 in²
Thus The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.
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Please help e find rration for cos b. Fraction only!
The value of cos B in the fraction is 12/37.
What is a right-angled triangle?A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.
Given:
A right-angled triangle.
The trigonometric identity:
Cos B = Adjacent leg of the triangle/ Hypotenuse of the triangle
Cos B = 12/37
Therefore, Cos B = 12/37.
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Billy buys candy bars for $12.50. Each candy bar cost costs $0.75. How many candy bars did he buy?
Answer:
16 candy bars
Step-by-step explanation:
We know
Each candy bar cost costs $0.75
Billy buys candy bars for $12.50
How many candy bars did he buy?
We take
$12.50 divided by $0.75 = 16 candy bars
So, he bought 16 candy bars.
Answer:
16 2/3 candy bars. Usually you cannot buy 2/3 of a candy bar so I am wondering if a number was copied incorrectly.
Step-by-step explanation:
12.50/.75 = 16 2/3 candy bars
16 candy bars would cost $12.00
16 x .75 = 12.00
You are a bookstore owner and want to calculate the usual amount of money
made each day, but you know that you make four times more on Mondays
than any other day. Which measure of central tendency should you use?
A. All measures of center work equally well.
B. Mode
C. Median
D. Mean
Answer:
Median
Step-by-step explanation:
I took the test myself.
Chef Ramsy used 1/4 of a bag of flour to make some muffins and twice as many cupcakes.The amount of flour he used for each muffins was 3 times as much as each cupcake.Chef Ramsy used 5/6 of the remaining bag of flour on a cake.He used 256.5g more flour on the cake than the muffins.
What friction of the bag of flour was used on the muffins?
How much flour was there in the bag at first?
Answer:
I'd say about a couple
you're welcome
How do I solve this equation?
3(5)-3(4)•y
when y is 2
Answer:
-9
Step-by-step explanation:
3(5)-3(4)•y
3(5)-3(4)•2
15 - 12 · 2
15 - 24
-9
Answer:
To solve the equation 3(5) - 3(4)•2, we need to simplify each term and then substitute the value of 2 for y.
Starting with the first term:
3(5) = 15
Next, the second term:
-3(4)•2 = -24
So, putting it all together:
15 - 24 = -9
So when y is 2, the equation simplifies to -9.
Step-by-step explanation:
PLEASE HELP!! I DID THE GRAPH ALREADY BUT IM CONFUSED ON HOW MANY CUPS BECAUSE 1 HAS NONE AND IM NOT SURE IF I SHOULD PUT 0 BECAUSE 1 HAS NOTHING OR PUT THE 2ND SMALLEST FROM 1
The graph of a pair of linear equations is shown in the coordinate plane below.
Which value is the x-coordinate of the solution?
-5
-3
-2
0
The value of the x-coordinate of the solution will be -2. Then the correct option is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equations are given below.
y = (5/2)x + 2 ...1
y = - x - 5 ...2
From equations 1 and 2, then we have
(5/2)x + 2 = - x - 5
(7/2)x = -7
x = -2
The value of the x-coordinate of the solution will be -2. Then the correct option is C.
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Determine if the expression
−
�
3
10
+
7
�
−
10
c
3
+7c is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
The given expression is polynomial and degree of the polynomial is 2.
What is polynomials?
Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.
the expression -10c° – c + 3c²
So the given expression is a polynomial,
The highest degree of the polynomial will be 2
Hence The given expression is polynomial and degree of the polynomial is 2.
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When given a set of cards lying face down that spell M, A, T, H, R, O, C, K, S, determine the probability of randomly drawing a vowel. one nineth two nineths one third three sixths
Answer:that is correct it is 2/9
Step-by-step explanation: