Select the correct answer.
What are the zeros of the function y = x(x-2XX+6)²?

Answer:

the diagonal length: 51 cm

Explanation:

using Pythagoras theorem:

a² + b² = c²

45² + 24² = c²

c² = 2025 + 576

c² = 2601

c = √2601

c = 51 cm

Answer:

y = 3/x

Step-by-step explanation:

The length of the legs of the right angle triangle are 2.4 feet and 4.4 feet.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The side of the right triangle is named according to the position of the angles.

The hypotenuse of the right angle triangle is 5 feet.

One leg is 2 feet longer than the other.

The length of the legs can be calculated as follows:

using Pythagoras's theorem,

c² = a² + b²

where

Hence,

let

x = one leg

other leg = x + 2

Therefore,

5² = x² + (x + 2)²

25 = x² + (x + 2)(x + 2)

25 = x² + x² + 2x + 2x + 4

25 = 2x² + 4x + 4

2x² + 4x + 4 - 25 = 0

2x² + 4x - 21 = 0

using quadratic formula,

\(\frac{-b + \sqrt{b^{2- 4ac} } }{2a}\) or \(\frac{-b -\sqrt{b^{2- 4ac} } }{2a}\)

where

a = 2

b = 4

c = -21

Therefore,

x = 2.39 or x = - 4.39

Hence,

length of the shorter leg = 2.4 feet

length of the longer leg = 4.4 feet

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Answer:

3/4

Step-by-step explanation:

The set of numbers whose decimal representations are neither repeating nor terminating is known as the set of irrational numbers.

Irrational numbers are numbers that cannot be expressed as fractions and have non-repeating and non-terminating decimal representations. Examples of irrational numbers include √2, π (pi), and e (Euler's number). These numbers are infinite and non-repeating, meaning their decimal representation goes on forever without following a specific pattern. The proof that √2 is irrational was first demonstrated by the ancient Greeks, and the irrationality of π and e was proven much later in history. Irrational numbers play a significant role in mathematics and are essential for understanding concepts like limits, calculus, and geometry.

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What is the mathematical term for the set of numbers whose decimal representations are neither terminating (finite decimal) nor repeating (infinite periodic decimal)?

Answer: I divided 16.75 by 5

Step-by-step explanation:

For every 1 gallon hes using 3.35

So 22 x 3.35 is 73.70 so hell need 70 cent more

Answer:

k1.2

Step-by-step explanation:

The question wants us to evaluate the result when we perform the following mathematical operation:

The quotient is the answer obtained when we divide one number by another.

We can work this out using the long division method.

Step 1: Write out the divisor, 4, on the left side and the dividend, 82, on the right

Step 2: Divide the first digit of the dividend by the divisor. Write out the result at the top. Multiply the result by the divisor and place below the first digit

Step 3: Subtract the numbers and bring down the next digit

Step 4: Divide the number by the divisor. Since the number is less than the divisor, place a 0 at the top and add a decimal point. Add a 0 to the back of the 2 as well

Step 5: Divide the number now by the divisor and write out the result at the top. Multiply the result by the divisor and subtract as shown below

ANSWER

The quotient of 82 and 4 is 20 with a remainder of 2.

The division yields:

Answer:

since numerator does not change for this equation, just put x+5=30 which is 25

Step-by-step explanation:

Answer:

x=25

Step-by-step explanation:

x+5=30

x=25

Answer:

48%

Step-by-step explanation:

24 is almost 25 which is half of 50 you it would be 48%, hope this helps!:)

Standardized test score that represents 70th percentile is 86.

Percentile is a comparison score between someone's score and the scores of the rest of the group. It tells the percentage of surpassed scores.

Data set = 48, 65, 72, 86, 84, 52, 93, 97, 81, 80

Sample size, n = 10

Now, arrange numbers in ascending order.

48, 52, 65, 72, 80, 81, 84, 86, 93, 97

Formula for percentile is,

Percentile = ( Number of Scores below 86 / Sample size ) x 100

Percentile = ( 7 /10 ) x 100

= (0.7) x 100

= 70%

Therefore, we can conclude that 70th percentile is = 86.

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Let A and B be two invertible matrices. Then, (AB)-1 = B-1A-1. This can be proven by showing that (AB)(B-1A-1) = I and (B-1A-1)(AB) = I.To show that (AB)(B-1A-1) = I, we can use the following steps:

First, we can expand the product (AB)(B-1A-1). This gives us:

AB(B-1A-1) = AB(B-1)A-1

Next, we can use the associative property of matrix multiplication to rearrange the terms in the product. This gives us:

AB(B-1)A-1 = (AB)(B-1)A-1

Finally, we can use the fact that A and B are invertible to cancel out the terms AB and B-1. This gives us:

(AB)(B-1)A-1 = IA-1 = I

We can use a similar approach to show that (B-1A-1)(AB) = I. In this case, we would start by expanding the product (B-1A-1)(AB). This would give us:

(B-1A-1)(AB) = B-1A(AB)-1

We could then use the associative property of matrix multiplication to rearrange the terms in the product. This would give us:

B-1A(AB)-1 = (B-1A)(AB)-1

Finally, we could use the fact that A and B are invertible to cancel out the terms B-1A and AB. This would give us:

(B-1A)(AB)-1 = I(AB)-1 = I

Since we have shown that (AB)(B-1A-1) = I and (B-1A-1)(AB) = I, we can conclude that (AB)-1 = B-1A-1.Here is an example of two matrices A and B e R2x2 which are invertible, with A + B not invertible:

A = [1 2; 3 4]

B = [5 6; 7 8]

We can verify that A and B are invertible by calculating their determinants. The determinant of A is 1, and the determinant of B is 24. Since both determinants are non-zero, A and B are invertible. We can verify that A + B is not invertible by calculating its determinant. The determinant of A + B is 37. Since 37 is not zero, A + B is not invertible.

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Let's see point E in its original position: (3.-4)

Now lets transform the point (x,y) -->  (x + 8, y +5)

               (3, -4) --> (3 + 8, -4 + 5) --> (11, 1)

Therefore coordinate E's new position is (11, 1)

Hope that helps!

Answer:  $500

Step-by-step explanation:

A sells to B at a profit of 10%:    1.10A = B

B sells to C for $577.50 at a profit of 5%:    1.05B = 577.50

Substitute B with 1.10A in the second equation:

1.05(1.10A) = 577.50

       1.155A = 577.50

               A = 500

Answer:

the answer for this is yes I will try to follow you

Answer:

48. ..........hhshhxhxx

Step-by-step explanation:

180-42-90=48

Answer:

rise/run 6/15 6/15 = 0.4

Step-by-step explanation:

Answer:

y=15/-5x+5 OR y=-3x+5

Step-by-step explanation:

any answer works. the 2nd one is just the simplified version of the first one

Answer:

-4 and -2

Step-by-step explanation:

Sum = - 6

\( - 4 + ( - 2) \\ - 4 - 2 = - 6\)

The product = 8

\(( - 4) \times ( - 2) = 8\)

Remind that negative multiply negative equal positive.

F. M⁻¹ s⁻¹

D. M⁻¹

If the reaction is first order in A, the rate law is rate = k[A], where k is the rate constant. Since the rate of the reaction is 1.6 x 10⁻³ M/s and the concentration of A is 0.11 M, we can find the value of the rate constant by plugging in the given values:

1.6 x 10⁻³ M/s = k(0.11 M)

Solving for k:

k = (1.6 x 10⁻³ M/s) / (0.11 M) = 14.55 x 10⁻⁴ s⁻¹

So the rate constant for a first order reaction in A is 14.55 x 10⁻⁴ s⁻¹.

If the reaction is second order in A, the rate law is rate = k[A]², where k is the rate constant. Since the rate of the reaction is 1.6 x 10⁻³ M/s and the concentration of A is 0.11 M, we can find the value of the rate constant by plugging in the given values:

1.6 x 10⁻³ M/s = k(0.11 M)²

Solving for k:

k = (1.6 x 10⁻³ M/s) / (0.11 M)² = 0.1395 x 10⁻³ M⁻¹ s⁻¹

So the rate constant for a second order reaction in A is 0.1395 x 10⁻³M⁻¹ s⁻¹.

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Height of nth stair from the ground be 18n.

What do you mean by airthmetic sequence?

A sequence of the form a, a + d, a + 2d, a + 3d, a + 4d, etc. is an arithmetic sequence.

The common difference of the sequence is d, and the number  a is the first term. \(a_{n}\)  = a + (n - 1)d is the formula for an arithmetic sequence's nth term.

The common difference, or d, is the difference between any two consecutive terms in an arithmetic sequence, and it may be calculated by deducting any pair of terms beginning with a and ending with \(a_{n+1}\) Accordingly, d = \(a_{n+1}\)  - \(a_{n}\)

It is given that height of each stair is 18 cm

Height of first stair = 18 cm

Height of second stair = 18 + 18 = 36 cm

Height of third stair = 36 + 18 = 54 cm

and so on.

This data will make a sequence such as 18 , 36 , 54 , 72 ..........

Here first term , a = 18

Common difference , d = 36 - 18 = 18

For the height of nth stair , use the formula of \(a_{n}\)

\(a_{n}\) = a + (n-1) d

where a is the first term , d id the common difference and n is the number of terms

Here, \(a_{n}\) = 18 + (n-1)18 = 18 + 18n - 18 = 18n

Hence, height of nth stair from the ground be 18n .  

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Answer:

Mr. Doyle has 460000 bees

Step-by-step explanation:

We are told that Mrs. Zhang's bee farm has a population that is about 1 tenth as large as Mr. Doyle's bee farm.

Thus;

Population size of Mrs. Zhang's bee farm = 1/10 × population size of Mr. Doyle's bee farm

Now, we are given that Mrs. Zhang's bee population is about 46,000.

Thus, from the earlier equation, we have;

46000 = 1/10 × population size of Mr. Doyle's bee farm

Thus, when we multiply both sides by 10,we get;

population size of Mr. Doyle's bee farm = 46000 × 10 = 460000 bees

96%  is the sensitivity of a method that produces 500 true-positive results and 20 false-negative results.

Why is pH important in electrophoresis?

This is important because the structure and charge of a protein or nucleic acid will change if subjected to significant pH changes, thus preventing proper separation.

What are the factors affecting electrophoresis?

Given,

         True-positive results = 500

          False-negative results = 20

      96% is the sensitivity of a method .

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Using the properties of  standard deviation , 10.56% of people will not be eligible in the first year.

A standard normal table is a mathematical representation of the values of the components of the normal distribution's cumulative distribution functions.

Given mean = 950

SD = 200

data value = 700

Z score = (700-950) ÷ 200 = -1.25

Therefore the p-value corresponding to the z-score is : 0.1056

therefore the required percentage = 10.56%

Hence 10.56% of people will not be eligible in the first year.

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Answer:

where is the sequence?

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40 outcomes are in n if there is a five-card hand is called a flush if all five cards

Since 2, 3, and 4 are the only ranks that can never be at the top of a series of 5 cards, you have 133=10 ways to choose the ranks.

You can choose from the following 133 rank options for your straight's high card: A, K, Q, J, T, 9, 8, 7, 6, 5. Keep in mind that the A counts as the straight's bottom card.

The suit for the first card in your sequence must likewise be determined using (41)=4, and the remaining cards must all automatically agree or contradict.

Your response is 40.

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The value of the expression 12* 5/6 is 20

The expression is given as:

12x\frac{5}{6}

Rewrite properly as:

12* 5/6

Divide 12 and 6 by 6

2 * 10

Evaluate the product

20

Hence, the value of the expression 12* 5/6 is 20

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The height in terms of the radius is h = 250/πr²

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

Volume = 250

The volume of a cylinder is

V = πr²h

So, we have

πr²h = 250

This gives

h = 250/πr²

This is calculated as

SA = 2πr(r + h)

So, we have

SA = 2πr(r + 250/πr²)

We have

A = 2πr(r + 250/πr²)

Expand

A = 2πr² + 500/r

Differentiate and set to 0

4πr - 500/r² = 0

So, we have

4πr = 500/r²

This gives

4πr³ = 500

Divide

r³ = 39.79

Take the cube roots

r = 3.41

Recall that A = 2πr² + 500/r

So, we have

A = 2π * 3.14² + 500/3.14

Evaluate

A = 221.19

Hence, the surface area is 221.19

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Answer:

first one u add 2 plus 5witch would be 7p

2 one u add 3 plus 10 witch would be 13p

3 one is 10x

4th one is 12x