What question does the equation 525=25(x-2) help answer

The number of possible outcomes in the sample space of a wireless garage door opener with 16 switches can be determined using the concept of combination is 1.

Combination is a mathematical concept that refers to the number of ways that a set of objects can be selected from a larger set without regard to their order.

To determine the number of possible outcomes in the sample space, we can use the concept of combination. In this case, the objects are the 16 switches, and the larger set is the set of all possible settings for these switches (up or down).

To calculate the number of possible combinations, we can use the formula for combination, which is:

ⁿCₓ = n! / (x! * (n - x)!)

where n is the total number of objects (16 switches), and x is the number of objects selected (in this case, also 16 switches). The exclamation mark (!) represents the factorial function, which is the product of all positive integers up to and including the given integer.

Using this formula, we can calculate the number of possible combinations as follows:

=> 16! / (16! x (16 - 16)!)

=> 16! / (16! x 0!)

=> 1

Therefore, the sample space of possible codes for a wireless garage door opener with 16 switches is 1.

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The mean amount for the three bills is  $100  .

In the question ,

it is given that

the electricity bill for June is = $75

the electricity bill for July is = $75

the electricity bill for August is = $150

Sum of the electricity for three months = 75 + 75 + 150 = 300

number of months =  3

The mean of the three months can be calculated using the formula ,

mean = (sum of bill for three months )/( number of months)

Substituting , the  values

we get

mean = 300/3

= 100

Therefore , the mean amount is $100 .

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Answer:

-3

Step-by-step explanation:

The equation for slope is y2-y1/x2-x1 so put you numbers in and you get

-6-6/-9+5

-12/4

and then -3

Answer:

-3

Step-by-step explanation:

\(y=mx+b\) is equation of a straight line.

Here, the slope is m.

\(m=\frac{y_{2}-y_{1} }{{x_{2}-x_{1}}} =\frac{-6-6}{-9-(-5)} =\frac{-12}{-4}=-3\)

We are given the following function:

The graph of this equation is a parabola for values of x < 2 and a line for values of 2<= x <= 6. The graph is the following:

Answer:

triangular prism

Step-by-step explanation:

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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the equation that verifies that the value of x in the diagram is equal to 10 is 7 = 1/2(4 + x). Option A is correct

The given diagram is a quadrilateral. Using the mid-segment theorem of shapes;

7 = 1/2(4 + x)

Cross mulltiply

7 * 2 = 4 + x

14  = 4  + x

Subtract 4 from both sides:

14 - 4 = 4 + x - 4

14 - 4 = x

x = 10

Hence the equation that verifies that the value of x in the diagram is equal to 10 is 7 = 1/2(4 + x)

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According to BPT theorem

Lets see how

Yes this satisfies

Option D

Answer:

24

Step-by-step explanation:

Answer:

3.2 , Edgar , Liam

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

Each box contains 1424 pencils;

There would be 2848 total pencils in two boxes.

Step-by-step explanation:

1424 x 2 = 2848 pencils

Answer:

A) The Jenga game is appropriate for the middle childhood age group, typically ranging from around 6 to 12 years old.

B) Jenga promotes cognitive, physical, and socioemotional development in middle childhood through enhancing spatial reasoning and problem-solving skills, improving fine motor skills and proprioceptive input, and fostering social interaction, cooperation, and risk assessment.

Step-by-step explanation:

Jenga, a game played with rectangular blocks, can promote cognitive, physical, and socioemotional development through various concepts.

Cognitive Development: Jenga enhances spatial reasoning as players analyze the tower's structure, evaluate block stability, and strategize their moves. They mentally manipulate objects in space, building an understanding of spatial relationships and balance. Problem-solving skills are fostered as players make decisions about which block to remove, considering the consequences of their actions. They must anticipate the tower's reaction to their moves, think critically, and adjust their strategies accordingly.

Physical Development: Jenga improves fine motor skills as players carefully remove and stack blocks using only one hand. Precise finger movements, hand-eye coordination, and grip strength are required for successful manipulation of the blocks. The game also provides proprioceptive input as players gauge the weight and balance of each block, refining their sense of touch and motor control.

Socioemotional Development: Jenga promotes social interaction and cooperation when played with multiple players. Taking turns, discussing strategies, and supporting each other's successes and challenges enhance communication, collaboration, and empathy skills. Players learn to respect and consider others' perspectives, negotiate and compromise, and work together towards a common goal. Sportsmanship is nurtured as players accept both victory and defeat gracefully, fostering resilience and emotional regulation.

Furthermore, Jenga offers opportunities for developing patience and perseverance. As the tower becomes increasingly unstable, players must exercise self-control, focus, and delayed gratification. They learn to take their time, plan their moves carefully, and tolerate the suspense of potential collapse. The game also presents a low-risk environment for risk assessment, allowing children to assess the consequences of their decisions and make calculated judgments.

By engaging in Jenga, children actively participate in a multi-dimensional activity that combines physical manipulation, cognitive analysis, and social interaction. Through the concepts of spatial reasoning, problem-solving, fine motor skills, proprioceptive input, social interaction, cooperation, sportsmanship, patience, perseverance, and risk assessment, Jenga supports holistic development in cognitive, physical, and socioemotional domains.

a. The corresponding unit rate of Dog Cakes, Bark Bits, and Woofy Waffles for each package is $1.85 per pound, $2.25 per pound, and $1.90 per pound respectively.

b. The best buy using the unit rates found in Part A is $1.85 per pound.

Part A: We divide the cost by the size to determine the unit pricing for each package.

Dog Cakes: The unit price is $74 divided by 40 pounds or $1.85 per pound.

Bark Bits: $27 divided by 12 pounds equals $2.25 per pound.

Unit pricing for Woofy Waffles is $76 divided by 40 pounds or $1.90 per pound.

Part B: We compare unit pricing to get the best purchase. The greatest deal is the package with the lowest unit price. The greatest deal in this situation is Canine Cakes, which has the lowest unit price at $1.85 per pound.

Even though Canine Cakes and Woofy Waffles have the same size (40 pounds), Canine Cakes has a cheaper unit rate than Woofy Waffles. The product with the highest unit rate is Bark Bits, making it the most costly per pound. Canine Cakes is the greatest purchase based on unit prices.

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The question is -

Jeremiah needed dog food for his new puppy. He compared the prices and sizes of three types of dog food.

Canine Cakes Bark Bits Woofy Waffles

Size (pounds) 40 12 40

Cost $74 $27 $76

Part A: Calculate the corresponding unit rate for each package.

Part B: Determine the best buy using the unit rates found in Part A. Explain your answer.

The equation of each line in slope intercept form y = 2x + 3,x = 4

The equation of a line in slope-intercept form (y = mx + b), the slope (m) and the y-intercept (b). The slope-intercept form is a convenient way to express a linear equation.

Equation of a line with slope m and y-intercept b:

y = mx + b

Equation of a vertical line:

For a vertical line with x = c, where c is a constant, the slope is undefined (since the line is vertical) and the equation becomes:

x = c

An example for each case:

Example with given slope and y-intercept:

Slope (m) = 2

y-intercept (b) = 3

Equation: y = 2x + 3

Example with a vertical line:

For a vertical line passing through x = 4:

Equation: x = 4

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Answer:

y=mx+b

Step-by-step explanation:

Answer:

182

Step-by-step explanation:

Answer:182

Step-by-step explanation:52+52+52+26

26 jumpingjacks in 5 minutes and 52 jumping jacks in 10 minutes

Answer:

6*R

Step-by-step explanation:

because if R is the amount of posters you can do the 6 multiplied by the R to help

Answer:

-2

Step-by-step explanation:

x-1(-7)=5

x+7=5

-7 bot sides

-2

Answer: 5

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Clearing the equation with fractions can indeed make solving the equation easier. To do this, you'll need to multiply both sides of the equation by the least common denominator (LCD). Let me give you a couple of examples:

Example 1:
Let's say we have the equation: (2/3)x - 1/4 = 1/2

To clear the fractions, we need to find the LCD, which is 12 in this case (since it's the smallest number that both 3 and 4 divide into evenly).

Now, we multiply both sides of the equation by 12:
12 * (2/3)x - 12 * (1/4) = 12 * (1/2)

This simplifies to:
8x - 3 = 6

From here, we can solve for x by isolating the variable:
8x = 6 + 3
8x = 9
x = 9/8

Example 2:
Let's take another equation: 3/5x + 1/2 = 2/3

The LCD in this case is 30 (smallest number divisible by both 5 and 2).

Multiplying both sides by 30, we get:
30 * (3/5)x + 30 * (1/2) = 30 * (2/3)

Simplifying further:
18x + 15 = 20

To solve for x, we isolate the variable:
18x = 20 - 15
18x = 5
x = 5/18

Remember, clearing the equation with fractions by multiplying both sides by the LCD helps eliminate the fractions and makes solving the equation more straightforward.

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Using the order of operations, the expression can be simplified as  

9 + 1.34 + 62.88 = 73.22

The order of operations instructs us on how to solve steps in multi-step expressions. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. Fourth, all addition and subtraction problems are solved from left to right.

Remember PEMDAS when simplifying multi-step expressions, i.e.:

P (Parentheses)

E (Exponents, Powers and Square Roots)

MD (Multiplication and Division, left-to-right)

AS (Addition and Subtraction, left-to-right)

The expression given in the problem is:  9 + 1.34 + 1 2 (3.50 +1.74)

Apply the above operation order:

Step 1: solve the addition inside the parenthesis

9 + 1.34 + 1 2 (3.50 +1.74)  =  9 + 1.34 + 1 2 (5.24)

Step 2: Multiply the result by 12

9 + 1.34 + 1 2 (5.24) = 9 + 1.34 + 62.88

Step 3: Apply addition from left to right

9 + 1.34 + 62.88 = 73.22

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Answer:

-1/5

Step-by-step explanation:

8/15 - 11/15

(8-11)/15

-3/15

-1/5

Thereforef(x)= \(0.25^{2} -2\),and f(x)= \(3^{2} -2\) are the functions with domain (-(-∞,∞),) and range ((-∞,-2,).

The link between two or more variables stated in equal form is called a function.

Every x value in a function must match a matching y value. The domain and range of the function, respectively, are determined by the values of x and y.

Four functions have been provided to us, and we must identify the ones with domains of (-∞,∞)  , and ranges of (∞ -2), respectively.

By using f(x)= \(0.25^{2} +2\)

f(x)=1-2

=-1

f(1)=0.25-2

=-1.75

f(2)=0.50-2

=-1.50

f(-2)=1/0.50-2

=1-1/0.50

=0

Because the value of the function grows from -2 as the value of x increases, this function has a domain of (-,) and a range of (-2,).

By using f(x)=

Since the aforementioned function is the antithesis of the first function, it operates in an antithetical manner.

By using f(x)= \(3^{2} -2\)

f(0)=1-2

=-1

f(1)=3-2

=1

f(-2)=1/9-2

=(1-18)/9

=-17/9

=-1.8

Because the value of grows from -2 as the value of x increases, this function likewise has a domain (-∞,∞) and range (-∞,-2).

The behavior of the next function is the reverse of that of the third function, as a result.

Thereforef(x)= \(0.25^{2} -2\),)and f(x)= \(3^{2} -2\) are the functions with domain (-(-∞,∞),) and range ((-∞,-2,).

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Answer:

Step-by-step explanation:

are valid as opposite angles, therefore equal, we solve with an equation

4x + 18 = 7x - 21

18 + 21 = 7x - 4x

39 = 3x

x = 39 : 3

x = 13

----------------------

check

4 x 13 + 18 = 7 x 13 - 21

70 = 70

the answer is good

x = 13

Answer: 10

Step-by-step explanation:

10

Answer:

0 plus 0 is equals to 0 times 0.

Answer:

what is the question

Step-by-step explanation:

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