what is the hcf of 54,90 and 72

Answer:

step 2

Step-by-step explanation:

not really sure how to explain hope this helps

Answer:

Step-by-step explanation:

6.3 divided by 2.1 equals 3.

3 is the scale factor

Answer:

2

Step-by-step explanation:

I just took the quiz

Answer:

654321

Step-by-step explanation:

There are 4 ways you spin an even number and 4 ways for odd number

From the question, we have the following parameters that can be used in our computation:

Spinner

The sections on the spinner are

Sections = 1, 2, 3, 4, 5, 6, 7, 8

This means that

Even = 2, 4, 6, 8

Odd = 1, 3, 5, 7

So, we have

n(Even) = 4

n(Odd) = 4

This means that the ways you spin an even number are 4 and an odd number are 4

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\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

In the first sequence,

let's take ratio of the next term with its preceding term, so we will get the common ratio ~

\(\qquad \sf  \dashrightarrow \: \cfrac{4}{16} = \dfrac{1}{4} \)

So, we can imply that The next term of the sequence is 1/4 times the previous term.

hence, the unknown term will be 1/4 times of previous term.

Therefore, the next term here is 1

In the second sequence,

Do the same procedure as above, we will get common ratio as :

\(\qquad \sf  \dashrightarrow \: \cfrac{18}{6} = 3\)

So, the next term is 3 times the preceding term, that is :

Therefore, the next term is 162

Answer:

15cm

Step-by-step explanation:

All you need to do for this is divide the perimeter (60) by the number of sides on a square (4). 60÷4=15

Answer:

\(15\)

Step-by-step explanation:

Square perimeter is

\(P=4s\)

Solving for \(s\) we get

\(s=\frac{P}{4}\)

So we have

\(s=\frac{60}{4}\)

\(s=15\).

S_10 is an affine geometry, S_14 is a projective geometry, S_15 is neither an affine nor projective geometry and S_21 is a projective geometry.

For each of the following finite incidence structures, draw a picture and determine which are affine geometries, which are projective geometries, which are neither.

(a) S_10 is an affine geometry because each line has two points, and every pair of points lies on a unique line. The structure is symmetrical since each point is connected to the other three points.

(b) S_14 is a projective geometry because it contains a set of three pairwise disjoint lines (lines with no common points) {A, B, R}, {C, D, R}, {R, T, U}. It also satisfies the axiom that any two points have a unique line passing through them.

(c) S_15 is neither an affine nor projective geometry. Although every pair of points lies on a unique line, it doesn't satisfy the other axioms of affine or projective geometries, like the existence of a set of pairwise disjoint lines.

(d) S_21 is a projective geometry. It has three sets of pairwise disjoint lines: {A, B, C}, {D, E, F}, {G, H, I}, and each pair of points has a unique line passing through them.

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The Systematic Approach algorithm is a problem-solving methodology that is widely used in many different fields, such as engineering, business, and science.

It is a structured and systematic process that involves identifying a problem, analyzing it, generating possible solutions, evaluating these solutions, and selecting the best one. The algorithm is also known as the "systems engineering process" or "systems analysis and design."

The algorithm is typically divided into several phases, including:

Problem identification: This involves defining the problem, its boundaries, and its scope. This step also involves identifying the objectives and constraints of the problem. Analysis: This step involves gathering data and information related to the problem, and identifying the root cause of the problem. This may involve conducting surveys, interviews, or experiments. Design: In this step, potential solutions are generated, and a conceptual design is created. The design should be flexible enough to allow for the incorporation of new information and changes. Evaluation: The potential solutions are evaluated based on predetermined criteria, and the best solution is selected. Implementation: The selected solution is implemented and monitored to ensure it is working effectively. Any necessary modifications or adjustments are made during this phase.

The Systematic Approach algorithm is a powerful tool for problem-solving as it provides a structured, step-by-step approach to analyzing and solving complex problems. It also allows for a thorough understanding of the problem and its potential solutions, as well as the ability to evaluate and select the best solution based on predefined criteria.

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Answer:

45

Step-by-step explanation:

angles on a straoght line = 180

180-135=45

The angle DEC is 180°-135°=45°.

         angle y=135°   (opposite vertical angle).

         angle y+z=180°

In-plane Geometry, a parent that is fashioned via two rays or lines that shares a not unusual endpoint is called an angle. The phrase “attitude” is derived from the Latin phrase “angulus”, because of this “nook”. the two rays are known as the edges of an angle, and the not unusual endpoint is known as the vertex.

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Therefore, the area of the quarter circle of radius 8 cm is 16π square centimeters (or approximately 50.2655 square centimeters if we use a decimal approximation for π).

A circle is a two-dimensional shape that is defined as the set of all points that are a fixed distance (called the radius) from a central point (called the center) in a plane. It is one of the most basic geometric shapes and is often used in a variety of mathematical and scientific contexts. One important thing to note about circles is that they are symmetrical: any line passing through the center of a circle divides the circle into two halves that are mirror images of each other. Circles are commonly used in a variety of contexts, including geometry, trigonometry, physics, engineering, and many other fields. They are also used in everyday life, such as in the design of wheels and other circular objects, the calculation of the areas of circular fields or gardens, and the measurement of circular objects like plates and bowls.

Here,

The formula for the area of a quarter circle is given by:

A = (1/4)πr²

where A is the area of the quarter circle, r is the radius of the circle, and π is the mathematical constant pi (approximately 3.14159).

In this case, the radius of the quarter circle is 8 cm, so we can substitute this value into the formula and simplify as follows:

A = (1/4)π(8 cm)²

A = (1/4)π(64 cm²)

A = 16π cm²

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The equation of the line of best fit is y = 0.2365x + 66.134, and the absolute value of the correlation coefficient is 0.197.

Given, the relationship between number of pitches and the average speed of the pitches can be shown through a scatter plot as follows. Using the given data, the scatter plot is shown below: From the graph, we observe that the points form a somewhat linear pattern.

Thus, we can add a line of best fit to the graph to understand the relationship between the two variables better. To determine the line of best fit, we will use the linear regression tool on the graphing calculator. For that, we need to select the “Relationship” tab and then select “Linear Regression” from the drop-down menu.

The equation of the line of best fit and the absolute value of the correlation coefficient are given as follows. Line of best fit: y = 0.2365x + 66.134|Correlation Coefficient| = 0.197. Therefore, the equation of the line of best fit is y = 0.2365x + 66.134, and the absolute value of the correlation coefficient is 0.197.

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Answer: 452.16 or just 452 units^3

Step-by-step explanation:

V= πr^2*h

using 3.14 like the problem asks could effect what you're rounding to but either way pi(6)^2=113.04 *4= 452.16

Answer:8

Step-by-step explanation:6 times 4= 24 and the units is over 3 so it’s 24 divided by 3 equals 8

Answer:

No

Step-by-step explanation:

10 x 5 = 50

8 x 5 = 40

they don't match the 50 to 32

Answer:

It is the second one :D

Answer:

I think it’s C

Step-by-step explanation:

Based on the amount invested and the amount it grew to, the simple interest rate is 1%.

Lauren invested $50 and got $50.50 after a year.

This rate can be found by the formula:

= (Difference in investment in year 1) / Amount invested x 100%

Solving gives:

= (50.50 - 50) / 50 x 100%

= 1%

In conclusion, the rate is 1%.

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Answer:

how many times can Jenny predict she will roll a 12?

12 times

Step-by-step explanation:

180\12

The number of times 12 can come on the die is 15. The correct option is (C).

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lies in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

Given that,

Jenny rolls the 12 sided die 180 times.

Since a 12 sided die has number on each of its face ranging from 1 to 12.

The probability of getting 12 is given as,

P(getting 12) = Favorable number of outcome/Total possible outcomes

                    = 1/12

Now, the number of times 12 comes can be found as,

180 ×  1/12

= 15.

Hence, Jenny can predict that she will get 12 on the die for 15 times.

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Answer:

The 8 is in the hundredths place.

The 6 is in the thousandths place.

2.586 is equivalent to (2 × 1) + (5 × 0.1) + (8 × 0.01) + (6 × 0.001).

Answer:

Step-by-step explanation: A  B  E   are the right ones,     credit to apo16

False. 8x34 does not equal (8x−−√4)3. The correct expression is 8x3√4 = (8x−−√4)3.

To determine if the statement is true or false, we must first calculate the left-hand side and the right-hand side of the equation. On the left-hand side, we have 8x34, which can be simplified to (8x3)4, and the result of that calculation is 4096. On the right-hand side, we have (8x−−√4)3, which can be simplified to (8x2)3, and the result of that calculation is 512. Because the results of these calculations are not equal, the statement is false. To make the statement true, we must change the equation to 8x3√4 = (8x−−√4)3. This equation can be simplified to (8x2)3 = (8x2)3, which is true.

8x34 = (8x3)4 = 4096

(8x−−√4)3 = (8x(√4)−−1)3 = (8x2)3 = 512

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Answer:

Step-by-step explanation:

Use sine to find the measure of ∠A:

1. The probability that QQ is reported by Bob's mom to have slept in nest B on day 2 is 0.137.

2. The conditional probability of QQ slept in nest A on day 1 given that Bob's mom reports that QQ slept in nest B on day 2 is 0.300.

3. The event Bob's mom reports QQ slept in nest A on day 1 is not independent to the event QQ slept in nest B on day 2, as their joint probability is not equal to the product of their individual probabilities.

1. The probability that QQ is reported by Bob's mom to have slept in nest B on day 2 can be calculated by using the law of total probability:

P(Bob's mom reports QQ slept in B on day 2) = P(Bob's mom reports QQ slept in B on day 2 | QQ slept in A on day 1) * P(QQ slept in A on day 1) + P(Bob's mom reports QQ slept in B on day 2 | QQ slept in B on day 1) * P(QQ slept in B on day 1) = 0.3 * 0.9 * 0.9 + 0.7 * 0.1 * 0.9 = 0.137

2. The conditional probability of QQ slept in nest A on day 1 given that Bob's mom reports that QQ slept in nest B on day 2 can be calculated by using Bayes' theorem:

P(QQ slept in A on day 1 | Bob's mom reports QQ slept in B on day 2) = P(Bob's mom reports QQ slept in B on day 2 | QQ slept in A on day 1) * P(QQ slept in A on day 1) / P(Bob's mom reports QQ slept in B on day 2) = 0.3 * 0.9 / 0.137 = 0.300

3. The event Bob's mom reports QQ slept in nest A on day 1 is not independent to the event QQ slept in nest B on day 2, as their joint probability is not equal to the product of their individual probabilities:

P(Bob's mom reports QQ slept in A on day 1 and QQ slept in B on day 2) = P(Bob's mom reports QQ slept in A on day 1 | QQ slept in B on day 2) * P(QQ slept in B on day 2) = 0.3 * 0.1 * 0.9 = 0.027 P(Bob's mom reports QQ slept in A on day 1) * P(QQ slept in B on day 2) = 0.7 * 0.9 * 0.1 = 0.063

Since 0.027 != 0.063, the events are not independent.

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Answer:

9,11,19

Step-by-step explanation:

let x be the hours and y the percentage

x=0 , y=100

x=8 , y=80

x=9  , y=0

x=10 , y=100 , x=11 still charging so it is still plugged in

x=16 , y=60 and so on ....

x=18  , y=20

and it will charged again

the answer is 9,11,19

Step-by-step explanation:

sketch the mother function of |x| then go 3 steps to the right horizontally and that's it

Answer:

103.125

Step-by-step explanation:

110.00 times 15% = 16.5

16.5 times 6.25% = 103.125

Answer - 103.125

Answer:

With the coupon and sales tax, the bicycle costs $100.38.

Step-by-step explanation:

First, we need to find 6.25% of $110.

110 x 0.0625 = 6.88

Now, let's add this to the total, or $110.

110 + 6.88 = $116.88

After that, we need to find 15% of this total.

116.88 x 0.15 = 17.53

Now, we need to subtract this from the total, which is now $116.88.

116.88 - 16.5 = $100.38

Now, with the coupon and sales tax, the bicycle costs $100.38.

Hope this helps! :D

Answer:

w=−5

Step-by-step explanation:

Answer: w = -5

Step-by-step explanation:

Answer:

b) The stock is 5.5 less than the original value, and the absolute value is 5.5.

Step-by-step explanation:

First of all, let's make our number line. The question says you need it to start at -9, so we can assume that it will go until 10. It also wants us to make half-tick marks. (There is an image attached of the number line.)

It says that -5.5 is labeled, so do that on your number line.

Next, it explains that 0 is the original price. 0 is where the stock is starting at. This does not mean that the value of the stock is 0!!! (It means that NO MATTER what the price of the stock is, that is now considered 0.)  

Now for the multiple choice, here's why all the answers are incorrect/correct.

a) If something is -5.5 less, it's the same as subtracting a negative number- which makes it positive!! SO this would mean that it added value.

b) Correct! Since it value is lower by 5.5, it's 5.5 less than the og value.

c) Since it's -5.5 greater, that's like adding a negative number: it's the same as subtracting. I suppose this is technically correct, but it's weird.

d) This one says's it's 5.5 greater, which is totally wrong. The value is decreasing, not increasing!

All of them say the absolute value is 5.5. This is correct. Absolute value is the distance from 0, and -5.5 is 5.5 units away from 0. (put simply, absolute value is just making the number positive.

hopefully this makes sense and helps you!!

Answer:

\(\frac{27y^6}{8x^{12}}\)

Step-by-step explanation:

1) Use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3x^{-5+2}{y^3}}{2z^0yx}) ^3\)

2) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3\times\frac{1}{x^3} y^3}{2x^0yx} )^3\)

3) Use Rule of Zero: \(x^0=1\).

\((\frac{\frac{3y^3}{x^3} }{2\times1\times yx} )^3\)

4) use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3y^3}{2x^{3+1}y} )^3\)

5) Use Quotient Rule: \(\frac{x^a}{x^b} =x^{a-b}\).

\((\frac{3y^{3-1}x^{-4}}{2} )^3\)

6) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3y^2\times\frac{1}{x^4} }{2} )^3\)

7) Use Division Distributive Property: \((\frac{x}{y} )^a=\frac{x^a}{y^a}\).

\(\frac{(3y^2)^3}{2x^4}\)

8) Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{(3^3(y^2)^3}{(2x^4)^3}\)

9) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{(2x^4)^3}\)

10)  Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{26y^6}{(2^3)(x^4)^3}\)

11) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{8x^12}\)

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Answer:

\(\displaystyle \frac{27y^{6}}{8x^{12}}\)

Step-by-step explanation:

\(\displaystyle \biggr(\frac{3x^{-5}y^3x^2}{2z^0yx}\biggr)^3\\\\=\biggr(\frac{3x^{-5}y^2x}{2}\biggr)^3\\\\=\frac{(3x^{-5}y^2x)^3}{2^3}\\\\=\frac{3^3x^{-5*3}y^{2*3}x^3}{8}\\\\=\frac{27x^{-15}y^{6}x^3}{8}\\\\=\frac{27y^{6}x^3}{8x^{15}}\\\\=\frac{27y^{6}}{8x^{12}}\)

Notes:

1) Make sure when raising a variable with an exponent to an exponent that the exponents get multiplied

2) Variables with negative exponents in the numerator become positive and go in the denominator (like with \(x^{-15}\))

3) When raising a fraction to an exponent, it applies to BOTH the numerator and denominator

Hope this helped!

Answer:

a: a number is odd

Step-by-step explanation:

It uses the word IF

Answer:

The answer is 80.5!

Step-by-step explanation:

The reason to the answer is because volume of a cuboid is l×B×H

(Substitute the values)  L = 2 , B = 3.5 , H = 11.5

2 × 3.5 × 11.5

Therefore, when we multiply these numbers we get, the answer 80.5!

I hope this answer helps!