Which is not the rule of similarity :- AAA SSS RHS SAS?

Answer: 1/2

Step-by-step explanation: Divide both the numerator and denominator by the GCD (Greatest Common Denominator)

27 ÷ 27

54 ÷ 27      (its 27/54 divided by 27/27

Reduced fraction:

1/2

Therefore, 27/54 simplified to lowest terms is 1/2.

Answer:

540

Step-by-step explanation:

If you divide 540 by 100 (100%) you get 5.4 then multiply it by 10 (10%) to get 54 again. THIS WAS TO CHECK TO GET: 10% or 100% is 10 so multiply 54•10=540

Hope this helps! ;-)

The function g : Z x Z -> Z defined by g(m,n) = 6m+3n is not an injection, but it is a surjection. This means that g is not a one-to-one function, but it does cover every element in the codomain.

To determine if the function g : Z x Z -> Z defined by g(m,n) = 6m+3n is an injection, we need to verify whether distinct inputs result in distinct outputs. Suppose g(m1, n1) = g(m2, n2) for some (m1, n1), (m2, n2) in Z x Z. Then, 6m1 + 3n1 = 6m2 + 3n2, which can be simplified to 2m1 + n1 = 2m2 + n2. Thus, m1 - m2 = (n2 - n1)/2. Since m1, m2, n1, and n2 are integers, (n2 - n1)/2 must also be an integer. Therefore, n2 - n1 must be even. It follows that if g(m1, n1) = g(m2, n2), then either m1 = m2 and n1 = n2 or m1 - m2 is odd. Hence, g is not an injection.

To determine if g is a surjection, we need to verify whether every integer in the codomain Z is mapped to by some element in the domain Z x Z. Given any integer z in Z, let m = 0 and n = (z/3). Then, g(m, n) = 6m + 3n = 3z, which means that g is a surjection.

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Answer:

id sa mp be para sure win ta

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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Answer:

Step-by-step explanation:

Which statements are true? Check all that apply.

The total possible outcomes can be found using 52C5.

The total possible outcomes can be found using 52P5.

The probability of choosing two diamonds and three hearts is 0.089.

The probability of choosing five spades is roughly 0.05

The probability of choosing five clubs is roughly 0.0005.

Since it can be chosen in any order, we use combination and not permutation. The number of ways of choosing 5 cards from a group of 52 cards is 52C5.

The probability of choosing two diamonds and three hearts = \(\frac{^{13}C_2*^{13}C_3}{^{52}C_5} = 0.0086\)  so the third one is not true.

The probability of choosing five spades = \(\frac{^{13}C_5}{^{52}C_5}\) ≈ 0.0005. The fourth statement is not true

The probability of choosing five clubs  = \(\frac{^{13}C_5}{^{52}C_5}\) ≈ 0.0005, the fifth one is.

So the answer is the first and fifth statement.

The probability of selecting a combination of cards is given by the ratio of

the ways of selecting the cards to the number of possible outcomes.

The true statements are;

Reasons:

First statement;

Number of cards in the deck of playing cards = 52

The number of possible outcome is given by the combinations of 5 that can be chosen from 52, as follows;

\(\displaystyle The \ \mathbf{number} \ of \ \mathbf{possible \ outcomes}} = _{52}C_5 = \frac{52!}{5! \cdot (52 - 5)!} = 2598960\)

Therefore;

Third statement;

The number of ways of choosing two diamonds is found as follows;

\(\displaystyle Choosing \ two \ diamonds = _{13}C_2 = \mathbf{\frac{13!}{2! \cdot (13 - 2)!}} = 78\)

The number of ways of choosing three hearts is found as follows;

\(\displaystyle Choosing \ three \ hearts = _{13}C_3 = \frac{13!}{3! \cdot (13 - 3)!} = 286\)

The number of ways of choosing two diamonds and three hearts is found as follows;

\(\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \frac{_{13}C_2 \times _{13}C_3}{_{52}C_5} = 0.00858\)

Therefore, the number of ways of choosing two diamonds and three hearts ≠ 0.089

\(\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \mathbf{\frac{_{13}C_2 \times _{13}C_3}{_{52}C_5}} \neq 0.089\)

Fourth  statement;

\(\displaystyle Probability \ of \ choosing \ five \ spades = \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005\)

Therefore;

\(\displaystyle Probability \ of \ choosing \ five \ spades = \mathbf{\frac{_{13}C_5 }{_{52}C_5}} \neq 0.05\)

Fifth statement;

\(\displaystyle Probability \ of \ choosing \ five \ clubs= \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005\)

Therefore;

The possible question options in the question are;

The total possible outcomes is given by ₅₂C₅

The total possible outcomes is given by ₅₂P₅

Probability of choosing 3 hearts and 2 diamonds is 0.089

The likelihood of choosing 5 spades is approximately 0.05

The likelihood of choosing 5 clubs is approximately 0.0005

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To answer this question, we need to consider the area under the graph of the function f for different intervals. Let's look at each interval separately:

a) ∫0 to 8 f(x) dx: This integral represents the area under the graph of f from x = 0 to x = 8. From the graph, we can see that the area under the curve for this interval is negative, since the curve is below the x-axis. Therefore, the value of this integral is negative.

b) ∫5 to 8 f(x) dx: This integral represents the area under the graph of f from x = 5 to x = 8. From the graph, we can see that the area under the curve for this interval is positive, since the curve is above the x-axis. Therefore, the value of this integral is positive.

c) ∫4 to 8 f(x) dx: This integral represents the area under the graph of f from x = 4 to x = 8. From the graph, we can see that the area under the curve for this interval is greater than the area under the curve for interval b, since the curve is higher above the x-axis. Therefore, the value of this integral is greater than the value of integral b.

d) ∫0 to 4 f(x) dx: This integral represents the area under the graph of f from x = 0 to x = 4. From the graph, we can see that the area under the curve for this interval is greater than the area under the curve for interval a, since the curve is higher above the x-axis. Therefore, the value of this integral is greater than the value of integral a.

Therefore, the quantities listed in increasing order from smallest to largest are:

a) ∫0 to 8 f(x) dx (negative)
b) ∫5 to 8 f(x) dx (positive)
c) ∫4 to 8 f(x) dx (greater than b)
d) ∫0 to 4 f(x) dx (greater than a)

In summary, the area under the graph of a function can be used to compare integrals for different intervals. By analyzing the graph and determining the sign and magnitude of the area under the curve for each interval, we can list the integrals in increasing or decreasing order.

a)  \(\int\limits^8_0 {f(x)} \, dx\), the value of this integral is negative.

b)  \(\int\limits^8_5 {f(x)} \, dx\), the value of this integral is positive.

c) ) \(\int\limits^8_5 {f(x)} \, dx\) , the value of this integral is greater than the value of integral b.

d)   \(\int\limits^4_0 {f(x)} \, dx\), the value of this integral is greater than the value of integral a.

What is the function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Here, we have
Given:  the area under the graph of the function f for different intervals.

a) \(\int\limits^8_0 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 0 to x = 8.

We can see that the area under the curve for this interval is negative since the curve is below the x-axis.

Hence, the value of this integral is negative.

b) \(\int\limits^8_5 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 5 to x = 8.

We can see that the area under the curve for this interval is positive since the curve is above the x-axis.

Hence, the value of this integral is positive.

c) \(\int\limits^8_4 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 4 to x = 8.

We can see that the area under the curve for this interval is greater than the area under the curve for interval b since the curve is higher above the x-axis.

Hence, the value of this integral is greater than the value of integral b.

d) \(\int\limits^4_0 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 0 to x = 4.

We can see that the area under the curve for this interval is greater than the area under the curve for interval a since the curve is higher above the x-axis.

Hence, the value of this integral is greater than the value of integral a.

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Answer:

Hotel B is the least expensive

Step-by-step explanation:

Given

See attachment for clear details

Required

The least expensive

To do this, we simply divide the total cost by the number of nights to get the unit price

i.e.

\(Unit = \frac{Price}{Nights}\)

Hotel A

\(Nights = 3\\Price= 192\)

\(Unit = \frac{192}{3}\)

\(Unit = \$64\) per night

Hotel B

\(Nights = 5\\Price= 300\)

\(Unit = \frac{300}{5}\)

\(Unit = \$60\) per night

Hotel C

\(Nights = 7\\Price= 455\)

\(Unit = \frac{455}{7}\)

\(Unit = \$65\) per night

From the calculations above;

Hotel B is the least expensive because 60 is less than 64 and 65

Here's a Scheme function that checks whether a matrix is symmetric or not:

```scheme

(define (is-symmetric-matrix matrix)

 (define (get-element matrix i j)

   (if (null? matrix)

       #f

       (if (= i 0)

           (if (null? (car matrix))

               #f

               (if (= j 0)

                   (car (car matrix))

                   (get-element (cdr matrix) i (- j 1))))

           (get-element (cdr matrix) (- i 1) j))))

 (define (is-matrix-symmetric-helper matrix i j)

   (if (null? matrix)

       #t

       (if (equal? (get-element matrix i j)

                   (get-element matrix j i))

           (is-matrix-symmetric-helper matrix i (+ j 1))

           #f)))

 (if (null? matrix)

     #t

     (is-matrix-symmetric-helper matrix 0 0)))

```

The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.

The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.

Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.

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Answer:

A) 1 = 0.16 = 16%

2) $4.69

B) 1 = 0.04 = 4%

2) $4.76

Step-by-step explanation:

A gallon of milk that cost $3.89 a year ago now costs $4.05.

A. Linear Growth rate formula:

P(t) = Po + rt

P(t) = Cost After t years = $4.05

Po = Initial cost = $3.89

1) If the cost is increasing linearly, what is the growth rate?

When t = 1

P(t) = Po + rt

4.05 = 3.89 + r × 1

r = 4.05 - 3.89

r = 0.16

Converting to percentage

= 0.16 × 100

= 16%

2) If the cost kept increasing in the same way, what will the milk cost 5 years from now?

P(t) = Po + rt

P(t) = 3.89 + 0.16 × 5

P(t) = 3.89 + 0.8

P(t) = 4.69

= $4.69

B. Exponential growth rate formula

P(t) = Po (1 + r)^t

If the cost is increasing exponentially, what is the growth rate?

1) when t = 1

P(t) = Cost After t years = $4.05

Po = Initial cost = $3.89

4.05 = 3.89 (1 + r)

Divide both sides by 3.89

4.05/3.89 = 3.89(1 + r)/3.89

1.0411311054 = 1 + r

r = 1.0411311054 - 1

r = 0.0411311054

Approximately = 0.04

Converting to Percentage

= 4%

2) What will the milk cost in 5 years?

P(t) = 3.89 (1 + r)^t

P(t) = 3.89 (1 + 0.0411311054)⁵

= $4.7585727225

Approximately = $4.76

is it factorization ...

Answer:

y=400x+0

or simply

y=400x

Step-by-step explanation:

Ok slope= Rise over run

Y-intercept= point where x is 0

y-intercept= (0,0)

slope= 400/1=400

m=slope

b=y-intercept

y=mx+b

y=400x+0

tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct. cotangent is the reciprocal of the sine function.

To find the value of tan 145°, we can use the relationship between tangent and cotangent:

tan x = 1 / cot x

Since cotangent is the reciprocal of the sine function, we can rewrite the given equation as:

csc 55° = 1 / sin 55°

To find the value of sin 55°, we can use the fact that sin x = cos (90° - x):

sin 55° = cos (90° - 55°)

       = cos 35°

Now, we need to find the value of cos 35°. We can use a trigonometric identity:

cos (90° - θ) = sin θ

cos 35° = sin (90° - 35°)

       = sin 55°

Substituting this value back into the equation, we have:

csc 55° = 1 / sin 55°

       = 1 / cos 35°

Now, let's find the value of tan 145° using the relationship between tangent and cotangent:

tan 145° = 1 / cot 145°

Since cotangent is the reciprocal of the sine function, we can rewrite the equation as:

tan 145° = 1 / sin 145°

To find the value of sin 145°, we can use the fact that sin x = sin (180° - x):

sin 145° = sin (180° - 145°)

        = sin 35°

Now, we have:

tan 145° = 1 / sin 145°

        = 1 / sin 35°

Since we previously found that csc 55° = 1 / cos 35°, we can substitute this value into the equation:

tan 145° = 1 / sin 35°

        = csc 55°

Therefore, tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct.

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Answer:

9(4a minus 3) is equivalent to 36a minus 27.

48000 is your awnserrrr

hate to be that person but what she said

The probability that all of them are real is 0.01875 or 1.875%

If the diamonds are replaced after each draw:

The probability of drawing a real diamond is 9/14, found by making the numerator the number of real diamonds and adding the total number of diamonds to find the denominator. 5+9 = 14.

To find the probability of all 9 diamonds drawn being real, multiply 9/14 by itself 9 times.  = 387420489/ 20661046784. This creates a probability of 387420489/ 20661046784. This cannot be reduced because there is no common factor. To express as a decimal, divide. 387420489/ 20661046784 = 0.01875. To turn this into a percent, multiply by 100. 0.01875*100 = 1.875

Hence, the probability that all of them are real is 0.01875 or 1.875%

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The length of the guy wire (rounded to the nearest foot) is 20 ft. Then the correct option is A.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A guy wire supports a cell phone tower.

The guy wire makes a 55° angle with the ground and touches the ground 34 ft from the base of the tower.

Base = 34 ft.

The length of the wire will be given as

\(\rm Wire \ length = 34 * cos\ 55^o\\\\Wire \ length = 19.5 \approx 20 \ ft\)

The length of the wire is 20 ft. Then the correct option is A.

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Answer:

is 59ft

Step-by-step explanation:

just took the test

Answer:

24

Step-by-step explanation:

Okay, let's solve this step-by-step:

1) We are given: a = -8, b = 2, c = 7, d = 11

2) We are asked to solve the matrix equation: [[x + y, z], [z - x, w - y]] = [[a, b], [c, d]]

3) Matching up the elements in the matrices:

x + y = a = -8 (1)

z = b = 2 (2)

z - x = c = 7 (3)

w - y = d = 11 (4)

4) Solving the equations:

From (1): x + y = -8 => x = -8 - y

Substitute in (3): z - (-8 - y) = 7 => z - (-8) = 7 + y => z = 15 + y

Substitute (2) into the above: 2 = 15 + y => y = 13

Substitute y = 13 into (1): -8 - 13 = -21 = x

Substitute x = -21 and y = 13 into (4): w - 13 = 11 => w = 11 + 13 = 24

Therefore, the values are:

x = -21

y = 13

z = 15

w = 24

So the final value of w is:

w = 24

Answer:

-15.3, -15.1, -12.3, -11.4, -11.4, 19.6

Step-by-step explanation:

Answer:

124 tiles

Step-by-step explanation:

2(20+40)

2(60)

120+4=124

Answer:

strawberries smoothies

28 4

21 3

70 10

Step-by-step explanation:

Answer:

112.93

Explanation:

\(\sf \boxed{\sf Mean= \frac{interval \ midpoint \ x \ frequency }{Total \ Frequency} }\)

Solving Stepwise:

\(\rightarrow \sf \dfrac{37.5 \ x \ 100 \ + \ 75 \ x \ 45 \ + \ 125 \ x \ 67 \ + \ 175 \ x \ 50 \ + \ 225 \ x \ 0 \ + \ 275 \ x \ 12 \ + \ 325 \ x \ 16 }{100 + 45 +67+50+0+12+16}\)

\(\rightarrow \sf \dfrac{32750}{290}\)

\(\rightarrow \sf \dfrac{3275}{29}\)

\(\rightarrow \sf 112.9310345\)

\(\rightarrow \sf 112.93 \ (rounded \ to \ nearest \ 2 \ decimal \ places)\)

The required probability of getting at least 7 heads is 1/128 or 0.0078

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

A fair coin is tossed = 8 time.

We have to find the probability of getting at least 7 heads.

Since, the probability of getting head, when one coin is tossed = 1/2

And the probability of getting tale = 1/2  

The probability of getting head at least  7 times when coin is tossed 8 times can be given as,

The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸

The head can come 8 times, then probability = (1/2)⁸

The probability of getting head at least 7 times

= (1/2)⁸ + (1/2)⁸ = 2(1/2)⁸ = (1/2)⁷ = 1/128 = 0.0078

The probability of getting at least 7 heads is 1/128 or 0.0078

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Answer:

When x = 1 or -1.

Step-by-step explanation:

When the denominator x^2-1 is zero the expression is undefined.

So the values of x cannot be  1  or -1.

The Moellers had 1,500 miles remaining to reach their destination. On the first day, the Moellers drove 1/2 (or 0.5) of the 3,000 miles, which is 1,500 miles. This means they had 1,500 miles remaining to reach their destination.

On the second day, they drove 1/4 (or 0.25) of the remaining 1,500 miles, which is 375 miles. Therefore, they had 1,125 miles remaining to reach their destination after driving 1/2 on the first day and 1/4 on the second day.

Based on the given information, the Moellers drove 1/3 of the distance on the first day and 1/4 of the remaining distance on the second day. Let's calculate the remaining distance to reach their destination:

Total distance: 3,000 miles

First day: 1/3 of 3,000 miles = 1,000 miles

Remaining distance after the first day: 3,000 - 1,000 = 2,000 miles

Second day: 1/4 of 2,000 miles = 500 miles

Remaining distance after the second day: 2,000 - 500 = 1,500 miles

So, the Moellers had 1,500 miles remaining to reach their destination.

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Answer:

Step 1: Variables are q for quarters and d for dimes. So d = dimes and q = quarters

Step 2: The two equations that form a system of equations are:

\(\left \{ {{0.1d+.25q=3.70} \atop {d+q=19}} \right.\)

Step 3: Work is shown on the attachment and on the step-by-step explanation

Step 4: Given the context of the problem, the solution of the amount of dimes and quarters, which is 7 dimes and 12 quarters, is needed to satisfy both systems to concur that there was 7 dimes and 12 quarters in a sum of money that amounted to $3.70 with 19 coins in total.

Step-by-step explanation:

Step 1: To first attempt to solve this, we must have to set up two variables for the amount of value a quarter and a dime has. So since a quarter is worth 0.25¢ in and a dime is worth 0.10¢, then we can set up one of the equations to be:

\(0.1d + .25q = 3.70\)

And we set it to equal the $3.70 because that's the amount that the sum of money totals to.

Step 2: Now to get the other side of the equation, we use the variables again, d and q and set that to equal 19 because that is the amount of coins that there is in total.

Step 3: Now that we have both equations, we can solve the problem now.

\(\left \{ {{0.1d+.25q=3.70} \atop {d+q=19}} \right.\)

Let's first solve this equation by setting one of the side's variables the same absolute value, but not the same integer value so that we can cross it off. I will choose the equation \(d+q=19\) to be multiplied by -.1 so that we can cross off both 0.1d and -0.1d after the result of the multiplication:

\(\left \{ {{0.1d+.25q=3.70} \atop {-.1d+-.1q=-1.9}} \right.\)

Now, lets cross off everything that we can, and add up the variables together. This includes adding .25q + (-.1q) and adding 3.70 + -1.9.

Now we have:

\(\left \{ {{.25q=3.70} \atop {-.1q=-1.9}} \right.\)

Now, what we do from here is add the left side and the right side side to get one equation, which is:

\(.15q=1.8\)

Finally, we divide both sides to get q=12, which means that there are 12 quarters. Since there are 19 coins in total, we can subtract 12 from 9 to get the remaining amount of dimes, which is 7.

In conclusion, q=12 and d=7.

My written work is also provided in the attachment!!!

Step 4: What does this mean in the context of the question?

This basically means that the solution of the amount of dimes and quarters, which is 7 dimes and 12 quarters, is needed to satisfy both systems to concur that there was 7 dimes and 12 quarters in a sum of money that amounted to $3.70 with 19 coins in total.

In simpler terms, this means that we need 7 dimes and 12 quarters to satisfy that there was a sum of money that amounted to $3.70 with 19 coins in total .

The ratio of water to flour in the recipe is 1 : 8. This means that for every 1 unit of water, we need 8 units of flour in the recipe.

In the given recipe, the amount of water used is 1/4 cup and the amount of flour used is 2 cups. The ratio of water to flour in the recipe can be expressed as a fraction, where the numerator is the amount of water used and the denominator is the amount of flour used. This gives the ratio of water to flour as 1/4 : 2.

To simplify the ratio, we can find the common factor that will eliminate the fractional value of water. In this case, we can multiply both sides of the ratio by 4 to get 1 : 8. This means that for every 1 unit of water, we need 8 units of flour in the recipe.

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