estimate the cube root of 1100​

Answer:

5761

Step-by-step explanation:

First, let's find the digit in the tenths place. The quotient of 10 and 2 is 5 because 10/2 = 5. Next, the digit in the hundredths place is the product of 3.5 and 2. 3.5 * 2 = 7. The number in the thousandths place is the sum of the digit in the tenths place and the ten thousandths place, so we have to find the digit in the ten thousandths place first. It says that every number in the code is divisible by the digit in the ten thousands place. The factors of 5 are 1,5 and the factors of 7 are 1,7. The only number that is the same in both is 1, so the last digit must be 1. Knowing that information, we can add the digit in the tenths place (5) to the number in the ten thousandths place (1) to get the third digit (6). Now we place those digits in order: tens (5), hundredths (7), thousandths (6), and ten thousandths (1) to get 5761.

4. Train arrived late once on 7th day according to the simulation.

5. The probability that the train will arrive late on 3 or more of 20 days is 0.30.

6. There is no convincing evidence that New Jersey Transit's claim is false.

What is a simulation?

Simulation is the imitation of chance behavior, based on a model that accurately reflects the situation.

The dot at 7 represents that on the 7th day the train arrived late once.

Assuming the probability that each train is late is 0. 1, the estimate of the probability that that train is late on 3 or more of 20 days is -

30/100 = 0.30.

Since, the actual result is that train is late 17 times on 3 days so the result will be 0.17. But since these are just simulations and real-life incidents there is no proper evidence.

Therefore, the train company's claim is not entirely false.

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Answer:

Step-by-step explanation:

When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Answer:

no it doesnt matter unless you do this The fundemetal principle of counting.

7 ways 3 people = 21 ways

Step-by-step explanation:

The effectiveness depends on your score of working.

How effective is it to go to your manager to request others take on some activities?

Certainty implies, indeed, that favorable things will happen and uncertainty  implies favorable things won't happen.

If we go to our manager, requesting that others should take some activities. It certainly depends upon the our score in the office. if we are hard working than in situations manager could approve our request and if our score is low or we are not a hard worker than result may no be in our favor.

Thus, the effectiveness depends on your score of working.

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The proportion of 1040r tax forms completed in less than 77 minutes = 0.06301

How to find the proportion of the tax forms?

The time required to complete a 1040r tax form = normally distributed

Mean = \(\mu\) = 100 minutes

Standard deviation  = \(\sigma\) = 15 minutes

The proportion of 1040r tax forms completed in less than 77 minutes is given by ,

P( X< 77 ) = P ( Z < \(\frac{77-100}{15}\)  )

                = P( Z < - 1.53 )

                =0.06301

Cumulative probability in the normal distribution =0.06301 or 6.301%

What is normal distribution?

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Answer:

=

3

6

Step-by-step explanation:

+

+

2

+

4

+

1

=

1

0

0

{\color{#c92786}{p}}+{\color{#c92786}{p}}+\frac{p}{2}+\frac{p}{4}+1=100

p+p+2p​+4p​+1=100

2

+

2

+

4

+

1

=

1

0

0.         2

+

2

+

4

+

1

=

1

0

0

2p+\frac{p}{2}+\frac{p}{4}+1=100

2p+2p​+4p​+1=100

2

+

2

+

4

+

1

−

1

=

1

0

0

−

1.              Subtract the numbers

Subtract the numbers

2

+

2

+

4

=

9

=

3

6

.        

Answer:

e

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

The expression for hypotenuse is √4x^4 + y^4.

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.

Given:

one leg = 2x²- y²

another leg = 2xy

H² = (2x²- y²)² + (2xy)²

H² = 4x^4 + y^4 - 4x²y² + 4x²y²

H²= 4x^4 + y^4

H= √4x^4 + y^4

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The only equivalent expression is option (a) \(7^x\).

What is expression ?

An expression in mathematics is a group of symbols that represent a statistical correlation or quantity, such as integers, variables, and operators. It may contain exponents, logarithms, and trigonometric functions in addition to mathematical operations like addition, multiplication, multiplication, and division. It may also contain constants, variables, and functions. Expressions can be used in a variety of subjects, including mathematics, calculus, geometry, and statistics, to represent mathematical models, resolve equations, and carry out calculations.

To find equivalent expressions for\(21^x/3^x\), we can try to simplify the expression using exponent rules.

21 can be factored as 7*3, so we can write:

\(21^x/3^x = (7 × 3)^x/3^x = 7^x × 3^x/3^x = 7^x\)

Therefore, we can see that option (a) 7^x is equivalent to the given expression.

To check the other options:

b) \((7/3)^x\) = \((7^x)/(3^x)\) which is not equivalent to the given expression.

c) \(3^(2x+1)\) can be written as \(3^(2x)\) × \(3^1\) = \((3^2)^x\) × 3 = \(9^x\) × 3 which is not equivalent to the given expression.

d) \(7^(x-1)\) can be written as \(7^x/7\) which is not equivalent to the given expression.

e) \((3/7)^x\) is not equivalent to the given expression.

Therefore, the only equivalent expression is option (a) \(7^x\).

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The complete question is:

Which expressions are equivalent to \(21^x/3^x\)? Check all that apply.

a) \(7^x\)

b) \((7/3)^x\)

c) \(3^(2x+1)\)

d) \(7^(x-1)\)

e) \((3/7)^x\)

The equation shows a slope of 5 for the line the equation represents of that given line will be y = 5x:

Given that

To find

So according the question

We have

We know that

Slope-intercept form of a line's equation is written as

Where

From question

so the equation of that given line will be

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Answer:

\(y= -486\)

Step-by-step explanation:

We first translate the statement into an equation:

\(\frac{y}{27}=-18\)

Then we simplify:

\(y= -486\)

Answer:

y/27 = -18

y = -486

Step-by-step explanation:

Translate the statement into an equation one step at a time.

"y divided by 27 is -18."​

y/27

"y divided by 27 is -18."​

y/27 =

"y divided by 27 is -18."​

y/27 = -18

Since y is being divided by 27, and you want y alone, multiply both sides by 27.

y/27 × 27 = -18 × 27

y = -486

Answer:

Step-by-step explanation:

The magnitude of the resultant force is approximately 9.07 lb.

We have,

To use the parallelogram rule to find the magnitude of the resultant force for the two forces, we first draw a diagram:

         B (11 lb)

        /|

       / |

      /  |

     /   |

    /    |

   /     |

  /θ     |

 /       |

A (7 lb)  |

 \       |

  \      |

   \     |

    \    |

     \   |

      \  |

       \ |

        \|

         C

where A and B are the magnitudes of the given forces, and θ is the angle between them.

Using the parallelogram rule, we draw a parallelogram with sides AB and BC:

         B (11 lb)

        /|

       / |

      /  |

     /   |

    /    |

   /     |

  /θ     |

 /       |

A (7 lb) D

 \       |

  \      |

   \     |

    \    |

     \   |

      \  |

       \ |

        \|

         C

The diagonal BD represents the magnitude and direction of the resultant force.

To find its magnitude, we use the Law of Cosines:

BD^2 = AB^2 + BC^2 - 2(AB)(BC)cos(θ)

BD^2 = (7 lb)^2 + (11 lb)^2 - 2(7 lb)(11 lb)cos(133 degrees)

BD^2 = 49 + 121 - 2(77)cos(133 degrees)

BD^2 = 170 - 154cos(133 degrees)

BD ≈ 9.07 lb (rounded to two decimal places)

Therefore,

The magnitude of the resultant force is approximately 9.07 lb.

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Answer:

y = -2x + 5

Step-by-step explanation:

1. Find the slope:  \(\frac{-3-1}{4-2}=\frac{-4}{2}=-2\)

2. Find the y-intercept: 1 = -2(2) + b  ⇒  1 = -4 + b  ⇒  5 = b

3. Use the slope and y-intercept found in steps 1 and 2 to complete the equation in the form y = mx + b:  y = -2x + 5

Answer:

230°

Step-by-step explanation:

Full Circle =360°

\( \frac{23}{36} \times 360 = 230\)

The rule applied to obtain each vertex of the triangle DEF after the transformations is given as follows:

(x,y) -> 1/3(x - 3, y + 5).

The original coordinates of triangle DEF have the following format:

(x,y).

The dilation by a scale factor of 1/3 means that each of the coordinates is multiplied by 1/3, hence:

(x,y) -> 1/3(x,y).

The translation along the vector <-3,5> means that the x-coordinate is subtracted by 3 while 5 is added to the y-coordinate, hence:

(x,y) -> 1/3(x - 3, y + 5).

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We have the following parallelogram.:

We have that the height of the paralellogram is 5 cm and the base is 9cm, then the area is:

therefore, the area of the parallellogram is 45 cm²

Answer:

Sum of interior angles of a triangle always = 180 degrees

add the individual ratios to get a sum composite ratio:

2+5+8 = 15

180 / 15 = 12

Multiply individual ratios:

{2:5:8} * 12 = 24:60:96

Check:

24 + 60 + 96 = 180

Step-by-step explanation:

I hope it's help

\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)

Answer:

15.75

Step-by-step explanation:

Answer:

well that her fault for not putting it in a purse

True, The coefficient of xkyn-k in the expansion of (x+y)n equals (n/k) .

What does a math expression mean?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

                                 This mathematical operation may be addition, subtraction, multiplication, or division. An expression's basic components are as follows: Expression: (Math Operator, Number/Variable, Math Operator)

The rth term in a binomial expansion is defined as

 r th term  = ⁿCr xⁿ⁻ˣ yr

   Let the coefficient of \(x^{k} y^{n - k }\) be A. The power of x is k and the power of y is n-k. It means

         k = n - r

        n - r = t

The coefficient of x^{k} y^{n - k } is

  \(C^{n} _{n - r} =\) ( n n - k )

Using the property of combination,

   \(C^{n} _{n - r} = C^{n}_{r}\)

\(C^{n} _{n - k} = C^{n} _{k} ( ^{n} _{k} )\)

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The complete question is -

The coefficient of xkyn-k in the expansion of (x+y)n equals (n/k) true or false

There can be multiple outputs (monthly charges) for a given input (number of credit cards), violating the definition of a function. hence, Situation 3 does not represent a function.

Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned does not represent a function.

In a function, each input (or x-value) should have a unique output (or y-value). However, in this situation, the total amount of money charged monthly on credit cards depends on the number of credit cards owned. It is possible to have different credit card numbers but still have the same total amount of money charged monthly.

For example, two people could own different numbers of credit cards but have the same monthly charges.

As a result, the definition of a function can be violated by having many outputs (monthly charges) for a single input (number of credit cards).

Because of this, case 3 does not represent a function.

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Answer:

41, 49

Step-by-step explanation

It goes up in 8 if you work out 25-17 or 33-25.

33+8=41, 41+8=49

Answer: Nico invested $10,

800 at 6% and $9,200 at 4%. He invested more at 6% because he earned $166 in interest, and 6% produces more interest than 4%.

Answer:

A

Step-by-step explanation:

look it carefully.

Answer: D(12)

Step-by-step explanation: To find the opposite it the number you would do -12= -12 x -1 = 12

Answer:

Like Terms: Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.

Step-by-step explanation: