A combination lock has 7 digits. How many distinct combinations does this lock have if the numbers used have to be 0 through 5

Answer:

x = 3

y = 9

Step-by-step explanation:

18x+6y=108   ----------------(I)

6x+10y=108   -------------(II)

(I)                  18x + 6y = 108

(II)*(-3)         -18x  - 30y = -324   {Now add, x will be eliminated}

                          - 24y  = -216

                                y = -216/-24

                              y = 9

Substitute y = 9 in equation (I)

18x + 6*9 = 108

18x + 54 = 108

        18x = 108 - 54

        18x = 54

           x = 54/18

x = 3

Answer:

  16.6%

Step-by-step explanation:

The constant ratio formula tells you the amount of total interest is ...

  I = Br(n+1)/(2m)

where B is the loan amount, r is the approximate APR, n is the number of payments, m is the number of payments per year.

Filling in the given values and solving for r, we get ...

  180 = 2000r(12 +1)/(2·12)

  180 = 26000r/24

  r = 180·24/26000 ≈ 0.16615 ≈ 16.6%

The approximate annual percentage rate is 16.6%.

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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Since each of the box is a cube, we use the formula for volume of a cube, which is a^3 [edge of the cube raised to the power 3] = (2)^3 = 8 cm^3 [2x2x2]

Now, the volume of the carton can be calculated using the formula length x breadth x height = 56 x 30 x 36 = 60,480 cm^3

Remember, all the units of the dimensions should be same and the final unit will be cm^3

The number of boxes of tea that can fit into the carton can be calculated by using the following formula: volume of the carton/volume of one tea box

= 60480/8

So, 7560 boxes of tea will fit in the carton

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Answer:

Step-by-step explanation:

every second we are increasing the sides by 4.4 in all 3 dimensions. This must mean that we need to do 4.4x4.4x4.4 to get

85.184in^3 per second

The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin

3. No because it's a line that doesn't go through the origin

4. Yes because it's a line through the origin

5. Yes because 1/3 = 2/6 = 3/9 = 4/12

6. No because 4/2 isn't equal to 8/5

7. Draw a graph just like 4., but change the y-axis

8. a. Let the equation be y = ax. 27 = 3a. a = 9. Therefore the equation is y = 9x.

8. b. 9

8. c. 9 * 5 = 45

9. a. The car travels 25 (> 18) miles per gallon of gasoline.

9. b. 25 * 8 - 18 * 8 = 7 * 8 = 56

In this case, since we want the sample mean to be within 0.01 of the population mean, the margin of error is 0.01.

To determine the number of grade-point averages needed to have a sample mean within 0.01 of the population mean, we can use the formula for the margin of error. The margin of error is calculated by dividing the standard deviation of the population by the square root of the sample size, multiplied by a constant value.

To find the required sample size, we need to know the standard deviation of the population. However, since it is not provided, we cannot calculate the exact number of grade-point averages needed.
If you have the standard deviation of the population, you can use the following formula to calculate the sample size:
Sample size = (Z * standard deviation) / margin of error

Where Z is the constant value that corresponds to the desired level of confidence. For example, if you want a 95% confidence level, Z would be approximately 1.96.

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Answer:

140

Step-by-step explanation:

Answer:

4 and - 2

Step-by-step explanation:

f ( x ) = x^2 - 2x - 3

f ( x ) = 5

x^2 - 2x - 3 = 5

x^2 - 2x - 3 - 5 = 0

x^2 - 2x - 8 = 0

x^2 + 2x - 4x - 8 = 0

x ( x + 2 ) - 4 ( x + 2 ) = 0

( x - 4 ) ( x + 2 ) = 0

x - 4 = 0

x = 4

x + 2 = 0

x = - 2

x has 2 values,

x = 4, - 2

The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function P(x) = 31 + 2.6x.

What is the percentage function?

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100. Example: 2/5 × 100 = 0.4 × 100 = 40 per cent.

The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function:

P(x) = 31 + 2.6x

Where P(x) is the percentage of adults who viewed college education as essential for success x years after the first year, and x is the number of years after the first year.

The function shows that the percentage increase by 2.6 every year for x years after the first year, and the initial percentage is 31%.

This function is representing a linear trend since the coefficient of x is constant.

Hence, The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function P(x) = 31 + 2.6x.

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Answer:

60;7

Step-by-step explanation:

Solving the question with the laws of combinatorics, specifically permutation problems.(a) 5,040 (b) 1,440. (c) 4,320.

(a) The word "mailbox" has 7 distinct letters. Therefore, the number of ways the letters can be arranged in a row is 7! = 5,040.

(b) If m and a must remain together (in order) as a unit, we can think of them as a single letter "ma". Now we have 6 letters to arrange in a row, which can be done in 6! ways. However, within the "ma" unit, the letters can be arranged in 2! ways. Therefore, the total number of arrangements is 6! × 2! = 1,440.

(c) If the letters ilb must remain together (in order) as a unit, we can think of them as a single letter "ilb". Now we have 5 letters to arrange in a row, which can be done in 5! ways. However, within the "ilb" unit, the letters can be arranged in 3! ways. Therefore, the total number of probable arrangements is 5! × 3! = 720 × 6 = 4,320.

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Answer:

Option D is correct

\(Slope\) \(of\) \(AC=Slope\) \(of\) \(DF\)

Step-by-step explanation:

Given:

1.

ΔABC and ΔDEF are similar

Property of similar states that corresponding sides are in proportion.

2.

\(\frac{BC}{EF}=\frac{AB}{DE}\) [By property of similar triangles]

Property of proportions allows you to cross multiply the equation.

then;

3.

\(\frac{AB}{BC}=\frac{DE}{EF}\)   [Property of proportion]

Definition of slope: Slope is described as the steepness and direction of line.

then by definition of slope;

4.

\(Slope\) \(of\) \(AC=\frac{BC}{AB}\)

5.

\(Slope\) \(of\) \(DF=\frac{EF}{DE}\)

6.

Substitution property of equality states that:

If a = b then a can be substituted in place of b in any equation or vice-versa.

then;

\(Slope\) \(of\) \(AC= Slope\) \(of\) \(DF\)

Therefore, the missing step in 6 we get,

\(Slope\) \(of\) \(AC= Slope\) \(of\) \(DF\)

Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.

A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top.

Here, Given data are:

Height of cone for Brand A = 15 in.

Radius of cone of Brand A =6 in.

Volume of Cone of brand A = \(\frac{1}{3}\pi r^2h\)

               V =\(\frac{1}{3}X 3.14X6^2X15\)

               V = 565.2 cu. in.

Height of cone for Brand B = 18 in.

Radius of cone of Brand B =5 in.

Volume of Cone of brand A = \(\frac{1}{3}\pi r^2h\)

               V =\(\frac{1}{3}X 3.14X5^2X18\)

               V = 471 cu. in.

Volume of brand A > volume of brand B.

Thus, Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.

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Answer:

the distance between points M and P

Step-by-step explanation:

i did it

functions f(z) and the circles y₁ and y₂, we need to determine the values of f(z) when z travels once with positive orientation along y₁ and y₂.The circles are centered at 1 and 2i, respectively, with a radius of 1.

To determine the values of f(z) when z travels along the circles y₁ and y₂, we substitute the expressions for the circles into the function f(z).

For y₁, the circle is centered at 1 with a radius of 1. We can parametrize the circle using z = 1 + e^(it), where t ranges from 0 to 2π. Substituting this into f(z), we get:

f(z) = f(1 + e^(it))

Similarly, for y₂, the circle is centered at 2i with a radius of 1. We can parametrize the circle using z = 2i + e^(it), where t ranges from 0 to 2π. Substituting this into f(z), we get:

f(z) = f(2i + e^(it))

To evaluate f(z), we need to know the specific function f(z) and its definition. Without that information, we cannot determine the exact values of f(z) along the circles y₁ and y₂.

In summary, to find the values of f(z) when z travels once with positive orientation along the circles y₁ and y₂, we need to substitute the parametrizations of the circles (1 + e^(it) for y₁ and 2i + e^(it) for y₂) into the function f(z). However, without knowing the specific function f(z) and its definition, we cannot calculate the exact values of f(z) along the given circles.

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Answer:

Discrete

Step-by-step explanation:

Discrete is the type of variable in which the number of auto accidents reported in a given month q

Discrete data is a count that uses integers and has a finite number of potential values. This sort of information can't be broken down into smaller chunks. Discrete data consists of finite, numeric, countable, and non-negative integers with discrete variables.

As we know that the number of auto accidents that can be reported in a month will be always a whole number, therefore, the number of accidents can be represented as 0, 1, 2,..., 1000, etc.

Thus, the type of variable is the number of auto accidents reported in a given month is Discrete.

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The interpretation that the likelihood that the first question will be true is (a) Likely

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

Probability value

The value of the probability and the notation is given as

P(true) = 0.8

As a general rule of probability, we have

Using the above as a guide, we have the following:

The value of P(true) = 0.8 is greater than 0.5

This that the probability is likely

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Answer: A its that easy

Step-by-step explanation:

Answer:

g(2) = 14

Step-by-step explanation:

g(x) = 3x + 8

g(2) = 3(2) + 8

g(2) = 14

g(2)=14 Hope this helps

Answer:2850

Step-by-step explanation: 950*3

The mean of this probability distribution is 1.55.

To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:

mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
    = 0 + 0.37 + 0.32 + 0.78 + 0.08
    = 1.55

Therefore, the mean of this probability distribution is 1.55.

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For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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Answer:

KL = 3

Step-by-step explanation:

Point K is on line segment \overline{JL} JL .

Given:

JL=4x

JK=2x+3

KL=x

Determine the numerical length of KL .

Note that:

J-------K-------L

JK + KL = JL

Step 1

We solve for x

JL = JK + KL

4x = 2x + 3 + x

4x = 3x + 3

Collect like terms

4x - 3x = 3

x = 3

Step 2

We solve for KL

KL = x

x = 3

Hence,

KL = 3

Answer:

3

Step-by-step explanation:

It's correct

Answer:

The slope of Line q is -7/8.

Step-by-step explanation:

Remember that for two lines to be parallel, their two slopes must be equivalent.

We are given that the equation of Line p is:

\(\displaystyle y=-\frac{7}{8}x+\frac{3}{2}\)

So, the slope of Line p is -7/8.

Line p is parallel to Line q. Therefore, the two lines have the same slope.

Hence, the slope of Line q must also be -7/8.

any number that doesn't have a variable can not go into a number that has variable so there would only be 1

The value of the x = 2√6.

A point where two lines meet produces an angle.

The breadth of the "opening" between these two rays is referred to as a "angle". It is depicted by the figure.

Radians, a unit of circularity or rotation, and degrees are two common units used to describe angles.

By connecting two rays at their ends, one can make an angle in geometry. The sides or limbs of the angle are what are meant by these rays.

The limbs and the vertex are the two main parts of an angle.

The common terminal of the two beams is the shared vertex.

According to our question-

SΔ= 6*4*1/2

1/2x²=12

x = 2√6.

Hence The value of the x = 2√6.

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Answer:

There are 45 pepperoni on 3 large pizzas

Step-by-step explanation:

Here, we want to use proportional relationship to solve this;

75 pepperoni to 5 large pizzas

x pepperoni to 3 large pizzas

75 * 3 = x * 5

x = (75 * 3)/5

x = 15 * 3 = 45

Answer:

$48

Step-by-step explanation:

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