One metal switch box has a volume of 10.5 cubic inches. If four of these boxes are ganged together to make one 4-gang box, the total volume of the box assembly is in? Select one: a. 40.5 b. 12.96 c. 25.92 d. 51.84 e. none of these

Answer:

13. is 4

14. is (9 and -2 x m)

Step-by-step explanation:

w = 3

5x3 + [-2x3} + 4 = 13

\15/   -   \6/  = 9 + 4 + 13

Answer:

The answer is -25

Answer:

\(\frac{5}{30} =\frac{x}{90}\)

Match the denominators:

\(\frac{5}{30} *\frac{3}{3}= \frac{15}{90}\)

x = 15

Check your work:

\(\frac{15}{90} \div \frac{3}{3} = \frac{5}{30}\)

We know that x = 15

Answer:

k=-14

Step-by-step explanation:

Answer:

What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.

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El entrenador puede acomodar las 15 banderas de 5,400 formas diferentes.

:
Para calcular el número de formas en que el entrenador puede acomodar las banderas, necesitamos usar la fórmula de permutaciones con repetición:

n! / (n1! * n2! * n3! * ...)

Donde n es el número total de banderas (15 en este caso) y n1, n2, n3, etc. son las cantidades de cada tipo de bandera. En este caso, n1 = 6, n2 = 4, n3 = 3 y n4 = 2.

Primero, calculamos el factorial de n (15!):
15! = 15 × 14 × 13 × ... × 3 × 2 × 1 = 1,307,674,368,000

Luego, calculamos los factoriales de n1, n2, n3 y n4:
6! = 720
4! = 24
3! = 6
2! = 2

Ahora, aplicamos la fórmula:
1,307,674,368,000 / (720 * 24 * 6 * 2) = 5,400


El entrenador puede acomodar las 15 banderas en 5,400 formas diferentes, considerando las cantidades de cada tipo de bandera.

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Answer:

d. more than 95%

Step-by-step explanation:

According to a survey carried out by the Food Drug Administration from 2016 to 2017, termed Population Assessment of Tobacco and Health, it was discovered that a high percentage of the youth population smoked e-cigarettes with special flavorings. Specifically, it was found that 96.1% of young people within the ages of 12 to 17 started their use of e-cigarettes with the flavored options.

As at the time when the report was being published, 97% of e-cigarette users reported having used flavored e-cigarettes in the past month. The above data shows that more than 95% of youths that vape have smoked e-cigarettes with special flavorings.

Answer:

m = 3/2

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step 1: Find 2 coordinates

(50, 20)

(70, 50)

Step 2: Find slope m by plugging into formula

m = (50 - 20)/(70 - 50)

m = 30/20

m = 3/2

Answer:

3/2

Step-by-step explanation:

To find the slope, pick two points on the line, and use the slope formula

( 50,20) and  (90,80)

m = ( y2-y1)/(x2-x1)

    = (80-20)/(90-50)

    =60/40

   = 3/2

It take 21.2 minutes longer to fill both the pipe together if both were opened at the same time.

In mathematics, fractions are used to represent proportions/parts of a whole. represent the same part of the whole. The top number is called the numerator and the bottom number is called the denominator. The numerator express the number of equal parts and the denominator defines the total number of equal parts of the whole.

Based on the given condition- formulation is-

1/1/45+1/40

We have to find the common denominator and then we can write the numerators above the common denominator

1/(8/45×8 + 9/40×9)

Now we have to calculate the product

1/(8/360+9/40×9)

1/(8+/360+9/360)

We have to write the numerators over common denominator

1/ 8+9/360

= 1/17/360

Divide a fraction by multiplying it's reciprocal

=360/17

= 21.2 m

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Answer: 0.000000009085

Step-by-step explanation: This expression is rewritten like this because it is multiplied by a negative power of ten. Therefore, applying this principle to scientific notation, the answer would have to be less than 0. That would be your answer. Hope this helps!

Answer:

We need the choices, since there are plenty equations with the same value.

Step-by-step explanation:

4/25=0.16

Whichever equation equals 0.16 is your answer.

Darren age is 15

and 1st sibling is x+2= 17 yrs

2rd sibling is x+4 = 19 yrs

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, it is given that :

Darren and his two siblings' ages are three consecutive odd numbers and the sum of their ages is 51.

Let Darren age be x

and since they are odd consecutive numbers, his two siblings age will be

1st sibling age will be = x+2

2rd sibling age will be = x+4

If the sum of their ages is 51

that is,  

x+x+2+x+4= 51

solving for x:

3x+6 = 51

3x+6-6=51-6

3x = 45

3x/3 = 45/3

x = 15 yrs

Therefore, x is 15, therefore Darren age is 15

and 1st sibling is x+2= 17 yrs

2rd sibling is x+4 = 19 yrs

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Answer: 14

Step-by-step explanation: I am guessing that you wrote the "c" incorrectly and that meant to be an "e". All you really need to do is replace the letters with the numbers that equal the letters, which would be:

(15) - 1/2(2)

1/2 * 2 = 1

15 - 1 = 14

Answer:

OPTION C is the correct answer

7,9

Answer:

option 3 is correct

Step-by-step explanation:

hope it helped

have a good day!

Answer:

168

Step-by-step explanation:

the angles of a hexagon should add us to 720, subtract all teh given angles from the total and you find x.

0.29 km is equal to 290,000 mm when rounded to two significant figures.

Convert kilometers to millimeters, you need to multiply the given value by a conversion factor. In this case, since there are 1,000 meters in a kilometer and 1,000 millimeters in a meter, the conversion factor is 1,000,000 (1,000 x 1,000).

Step 1: Multiply 0.29 km by the conversion factor:

0.29 km x 1,000,000 = 290,000,000 mm

Step 2: Round the result to two significant figures:

Since the original value, 0.29 km, has two significant figures, we round the result to match.

290,000,000 mm becomes 290,000 mm.

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We can write the above expression as

Now we know that

And

Also for the piece

So we shall use

And

To fill the blanks so that this expression will be similar to the above.

Respuesta: Uno

La suma de la probabilidad de todos los resultados posibles de un experimento aleatorio debe ser igual a uno.

Porque algunos resultados más ocurren en cada sendero y la suma de todas las probabilidades es 100% o uno.

Espero haber ayudado, buena suerte! :)

The equation that models this linear function will be; y = 12.5x + 7.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where: m represents the slope. x and y are the data points.

c represents the y-intercept.

Next, we have to determine the slope of the data points in this table as follows;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (44.50 - 32.00)/(3 - 2)

Slope, m = 12.5/1

Slope, m = 12.5.

At point (2, 32.00), a linear equation of this line in slope-intercept form as follows:

y - y₁ = m(x - x₁)

y - 32.00 = 12.5(x - 2)

y - 32.00 = 12.5x - 25

y = 12.5x - 25 + 32.00

y = 12.5x + 7

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Mr. Red's salary is an illustration of an arithmetic sequence

The recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

From the complete question, we have the explicit rule of Mr. Red's salary to be

an = 500n + 29500

Where:

The above means that:

The difference between a term and the next term is 500.

So, the recursive rule is:

an = an−1 + 500

Recall that:

a1 = 30000

Hence, the recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

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Answer:

y = -9

Step-by-step explanation:

Combine like terms first; 6y-8y=-2y and -8-6=-14  

-2y-14=4.

Then add 14 to both sides.

-2y=18

Lastly, divide both sides by -2

y=-9

Answer: = -9

Step-by-step explanation:

1. subtract -8-6 which equals -14

2. Combine like terms which are -8y and 6y and you should get -2y

3. Add 14 on both sides eliminate the -14 on one side. it should be -2y = 18

4. Now you want to get y all on its own so you divide -2 on both sides -2y/2 = 18/-2

5. and you should be able to cancel out -2y and get y= -9

The correct formula representing the Relationship between the trade-in value in dollars, t, and the number of years since the car was purchased, y, is t = 15,000 - 500y (option B).

The formula that represents the relationship between the trade-in value in dollars, t, of the car and the number of years, y, since the car was purchased is:

B) t = 15,000 - 500y

According to the given information in the table, as the number of years since the car was purchased increases, the trade-in value decreases. The formula t = 15,000 - 500y reflects this relationship. The constant term 15,000 represents the initial trade-in value when the car is brand new. Then, for each year that passes (represented by the variable y), the trade-in value decreases by 500 dollars.

For example, when y = 1 (1 year since purchased), the trade-in value is calculated as t = 15,000 - 500(1) = 14,500 dollars, which matches the value given in the table for 1 year since purchased. Similarly, for y = 2, 3, and 4, the corresponding trade-in values can be calculated using the formula and compared with the values in the table to verify the correctness of the formula.

Therefore, the correct formula representing the relationship between the trade-in value in dollars, t, and the number of years since the car was purchased, y, is t = 15,000 - 500y (option B).

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Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The expected value is given by the sum of each outcome multiplied by it's respective probability.

In this problem:

Hence, his expected profit for a single game is:

\(E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583\)

For 216 games, the expected value is:

\(E = 216(0.2583) = 55.8\)

Ayo can be expected to make a profit of £55.8.

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The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

Let's solve this problem step by step:

Let's assume the cost of the paper clip is x dollars.

According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).

The total cost of the folder and the paper clip is $1.10, so we can write the equation:

x + (x + $1.00) = $1.10

Combining like terms, we have:

2x + $1.00 = $1.10

Subtracting $1.00 from both sides of the equation, we get:

2x = $0.10

Dividing both sides by 2, we find the value of x:

x = $0.10 / 2

x = $0.05

Therefore, the paper clip costs $0.05.

In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

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The equation we need is\(P(3 < =x < =5) = (x^3 - 3x^2 + 5x - 3)/24\). We can solve this in R by using the dbinom() function. The code is: dbinom(3:5, size=4, prob=0.25) which yields an answer of 0.3125. This means that the probability of 3 to 5 bicycle accidents occurring in the next four months is 0.3125.

The equation for the probability of a certain number of bicycle accidents occurring in the next four months is \(P(x) = (x^3 - 3x^2 + 5x - 3)/24\), where x is the number of accidents. To solve this equation with R, we can use the dbinom() function which is used to calculate the binomial cumulative distribution function. We set the size parameter to 4 (the number of months) and the probability parameter to 0.25 (the probability of a bicycle accident occurring at the intersection in a single month). The code is dbinom(3:5, size=4, prob=0.25). This yields an answer of 0.3125, meaning that the probability of 3 to 5 bicycle accidents occurring in the next four months is 0.3125. This calculation is useful for understanding the likelihood of certain numbers of bicycle accidents occurring in a given time period, and can be used to inform decisions about safety at intersections.

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The expression that represents the relationship between the step number n and the total number of small squares in the pattern is this: (n-1)^2.

From the given information, we can see that the pattern starts with 0 squares at step 1, and each subsequent step adds a square to the pattern. However, the lower right square is always missing. Therefore, the total number of small squares in the pattern at step n can be represented by the expression: (n-1)^2

The reason we subtract 1 from n is that we started counting from step 1, whereas the expression (n-1)^2 assumes that we start counting from 0. Then we square (n-1) to account for the number of squares in the pattern, excluding the missing square in the lower right corner.

Complete Question:

Which expression represents the relationship between the step number n and the total number of small squares in the pattern?

A pattern of small squares. Step 1 has 0 squares. Step 3 has 3 squares: 2 by 2 but missing the lower right square. Step 3 has 8 squares: 3 by 3 but missing the lower right square.

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FALSE. The number of degrees of freedom in cross-tabulation data is calculated by subtracting 1 from the product of the number of rows and columns.

Therefore, in this case, the number of degrees of freedom would be (3-1) x (4-1) = 6.

Degrees of freedom refer to the number of independent pieces of information in a data set, which can be used to calculate statistical significance and test hypotheses.

In cross-tabulation, degrees of freedom indicate the number of cells in the contingency table that are not predetermined by the row and column totals.

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Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24