What value of m would make parallelogram WXYZ asquare?2m + 4m+6

Answers

Answer 1

The value of m for which the parallelogram WXYZ will be a square is (a) 2 .

For the parallelogram WXYZ to be a square ,

We know that , if parallelogram WXYZ is a square all, then all the sides are equal ;

So , we write WX = XY = YZ = ZW ;

To find the value of "m" , we use WX = ZW ;

substituting the values of sides of square from the figure ,

we get ;

⇒ 2m + 4 = m + 6 ;

⇒ 2m - m = 6 - 4 ;

⇒ m = 2 ;

Therefore , the value of "m" for the square WXYZ is 2 .

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The given question is incomplete , the complete question is

What value of m would make parallelogram WXYZ a square ?

(a) 2

(b) 3

(c) 4

(d) 5

What Value Of M Would Make Parallelogram WXYZ Asquare?2m + 4m+6

Related Questions

If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3

Answers

The equation that describes the graphed function is -

g(x) = - f(x) - 3.

What is root function?

A root function in mathematics is given as -

y = [tex]$\sqrt[n]{x}[/tex]

We can further write the function as -

y = [tex]$x^{\frac{1}{n} }[/tex]

Given is the graph of the function as shown in the image attached.

We can write the function f(x) as -

f(x) = √x

Inverting the f(x) across the {x} axis, we can write -

- f(x) = - √x

After downward translation, we can write g(x) as -

g(x) = - f(x) - 3

Therefore, the equation that describes the graphed function is -

g(x) = - f(x) - 3.

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Group 4: A drive in movie charges $15 per car, plus $2 per person as an
admission fee. The total charged for a car with x people is m(x) = 2x + 15.
How will the graph of this function change if the per car charge is changed
to $20 per car?
O
The line will shift vertically down by $5.
O The line will shift vertically up by $5.
O The line will shift horizontally left by $5.
O The line will shift horizontally right by $5.

Answers

Answer:

The graph of the function will shift vertically up by $5.

Step-by-step explanation:

The original function is m(x) = 2x + 15, where x is the number of people in the car. If the per car charge is changed to $20 per car, the new function becomes m(x) = 2x + 20, because the charge per car has increased by $5.

This means that the y-intercept of the new function is 20 instead of 15, which represents the minimum cost for a car, regardless of the number of people inside. So the graph of the new function will be shifted vertically up by $5 from the graph of the original function.

Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ

John Napier developed logarithms and Henry Briggs helped him to improve on the concept.

True

False

Answers

The given statement is True.

What is developing logarithms?

The emergence of logarithms was predicted by comparing arithmetic and geometric series.

True. John Napier is credited with developing logarithms and Henry Briggs is known for working with Napier to advance the concept and promote its use.

Together, they created the logarithmic tables that became a powerful tool in mathematics and science.

Therefore, The given statement is True.

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Cassandra is knitting a scarf. She increases the length of
the scarf by 25 centimeters each hour she knits. After 3
hours, the scarf is 125 centimeters long.

Answers

The initial length of the scarf is 50 centimeters.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

We can use the given information to find the rate at which Cassandra is knitting the scarf and the initial length of the scarf.

Let L be the initial length of the scarf in centimeters, and let r be the rate at which Cassandra is knitting the scarf in centimeters per hour. Then, we have:

L + 25h = length of scarf after h hours

Substituting h = 3 and the length of the scarf after 3 hours = 125, we get:

L + 25(3) = 125

L + 75 = 125

L = 50

Therefore, the initial length of the scarf is 50 centimeters.

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Cassandra is knitting a scarf. She increases the length of

the scarf by 25 centimeters each hour she knits. After 3

hours, the scarf is 125 centimeters long what is initial length of scarf.

if the ages of ten randomly selected students are totaled then divided by ten, the result is known as: group of answer choices the median. the range. the standard deviation. the mean.

Answers

The mean, median, range, and standard deviation are all measures that can be used to calculate information about a set of numbers, such as the ages of ten randomly selected students.

The mean is the result of totaling the ages of ten randomly selected students and then dividing by ten. This calculation is also known as the average. To calculate the mean, first add up all of the ages, which gives us the sum. Then divide the sum by the number of students, which in this case is 10. The result is the mean, or the average age of the group.

The median is the middle value of a group of numbers. To calculate the median, first put the ages in order from least to greatest. Then find the middle value. If there is an even number of values, then the median is the average of the two middle values.

The range is the difference between the highest and lowest values. To calculate the range, just subtract the smallest number from the largest.

The standard deviation is a measure of variation in a set of numbers. To calculate standard deviation, first subtract the mean from each value, then square each of those differences. Add up these squared differences and divide by the number of values. Then take the square root of that number. The result is the standard deviation.

The mean, median, range, and standard deviation are all measures that can be used to calculate information about a set of numbers, such as the ages of ten randomly selected students.

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A man age is 42 years and his son age is 12 years. After how many years will the man be thrice as old as his, son

Answers

As per unitary method, it will take 9 years for the man to be three times as old as his son.

The unitary method is a mathematical technique that involves finding the value of a single unit, and then using that unit to find the value of a larger quantity.

First, let's define our variables:

Let the man's age be M

Let the son's age be S

According to the problem, we know that:

M = 42

S = 12

We want to find out how many years it will take for the man's age (M) to be three times his son's age (S). Let's call this number of years "y".

Using the unitary method, we can set up the following equation:

M + y = 3(S + y)

Here's what this equation means:

M + y represents the man's age after y years

S + y represents the son's age after y years

3(S + y) represents three times the son's age after y years

We can simplify this equation by distributing the 3:

M + y = 3S + 3y

Next, we can isolate the variable y (which represents the number of years we're trying to find) by moving all the other terms to the opposite side of the equation:

y - 3y = 3S - M

Simplifying this, we get:

-2y = 3S - M

Finally, we can solve for y by dividing both sides by -2:

y = (M - 3S) / -2

Plugging in the values we know, we get:

y = (42 - 3(12)) / -2

y = 9

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Complete Question:

A man's age is 42 years and his son's age is 12 years. After how many years will the man be thrice as old as his son?

what's the rate of change of -7≤x≤-2

Answers

Answer:

4

Step-by-step explanation:

Rate of change forumla

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

We have our X points, -7 and -2. Now to find the Y value at those places.

For -7, Y is 5

For -2, Y is 25

Now we plug this into the equation

[tex] = \frac{25 - 5}{ - 2 - ( - 7)} = \frac{20}{5} = 4[/tex]

Find the value of x.
X=

Answers

The measure of x is 14, by using the definition of secants.

What are secants?

A straight line that intersects a circle in two points is called a secant line. A chord is the line segment that joins two distinct points of the circle. A chord is in a unique secant line and every secant line defines a unique chord. In geometry, a secant is a line that cuts any curve in at least two different points.

Given that, two secants are intersecting inside the circle making two arcs measuring 55° and 75° and an angle measuring 3x+23

We know that,

If two secants intersect inside a circle, then the measure of the angle formed is equal to half the sum of the measures of the intercepted arcs.

Therefore,

3x+23 = 1/2[55° + 75°]

3x+23 = 1/2 × 130

3x+23 = 65

3x = 42

x = 14

Hence, the measure of x is 14, by using the definition of secants.

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What percentage of calls with the Chicago service center answer within 10 seconds in January of 1994?

Answers

Answer:

Option B

Step-by-step explanation:

The green graph represents the percentage of calls with the Chicago service center.
For December 1993, the percentage of calls is coming out to at least 95 percent. In addition, the graph is increasing as months go by. Based on these two analysis, the estimate percentage of calls within 10 seconds in January of 1994 is:

Option B: 98

<
Lesson 6-2
Question 7 of 15
Question 7
>
A is the incenter of A POR. Find m.ARU.
Need help with this question?
(3x + 2)°
20
(4x-9)º
40 R
Sav

Answers

The value off ARU based on the information will be 35°.

How to calculate the value

We know, the incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle.

A)By property, AR is angle bisector of angle KRU.

Therefore m(<ARU) = m(<ARK) = 40°

m<ARU= 40°

B) The angle bisectors in a triangle are always concurrent and the point of intersection is known as the incenter of the triangle.

AU = AT = 20

Therefore,

AU = 20

C) AP is angle bisector of <QPR,

By definition of angle bisector

m<QPA = m<APR

3x+2 = 4x-9

4x-3x = 9+2

x =11

m<QPA = 3(11) +2 = 35°

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- If Andrea does 5 more hours of community service, she will have at least the 12
hours of service required by her school. This can be represented by the
inequality below, where x stands for the number of hours of community service
that Andrea has already done.
1+52 12
Which number line BEST represents all values of x that satisfy this inequality?

Answers

Answer:

The first/top option

Step-by-step explanation:

First, we can find the inequality that the line is representing. X is the number of hours she has already done, and she has five hours more to do to fulfill the 12 or more hours of required service. The inequality would be x+5≥12.

The minimum that X has to be is 7 because any value lower than 7 would make the inequality false[ ex. 6 + 5 ≠ 12 ]. The arrow would be pointing to the right, because 7 is the minimum value, not the max, so any value higher than 7 would still make the inequality true. Lastly, the circle would be filled, because 7 is included in the set of values that make the inequality true[ 7 + 5 = 12 ].

So, the answer would be the first option.

help me with the question, please
have a good day

Answers

Answer:

3 liters

Step-by-step explanation:

If he took the 2 fullest containers, he took the two dots that are at 4 1/2, which is also 4.5

Now since there are two, we multiply by 2.

4.5 = 9 liters

It then says he will divide the milk evenly between 3 containers. So now we divide.

9/3 = 3

what is the sum of the first fifteen terms of the sequence $2, 8, 14, \dots$, in which each term is six more than the preceding term?

Answers

The sum of the first fifteen terms of the given sequence is 220.

The given sequence can be expressed as: [tex]$2, 8, 14, \dots$[/tex], in which each term is six more than the preceding term. This is an arithmetic sequence, where the common difference between terms is 6. The formula to calculate the sum of the first n terms of an arithmetic sequence is given by [tex]$S_n = \frac{n}{2}(a_1 + a_n)$[/tex], where [tex]$a_1$[/tex] is the first term and [tex]$a_n$[/tex] is the nth term.

In the given sequence, the first term [tex]$a_1$[/tex] is 2 and the 15th term [tex]$a_n$[/tex] is 42. So, plugging these values to the formula gives us, [tex]$S_{15} = \frac{15}{2}(2+42) = \frac{15\times 44}{2} = 220$[/tex].

Therefore, the sum of the first fifteen terms of the given sequence is 220.

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In ΔLMN, m = 450 inches, � m∠M=74° and � m∠N=41°. Find the length of l, to the nearest 10th of an inch

Answers

In the triangle LMN the length of the side l as per given measures of side and angles is equal to 42.4 inches ( nearest tenth )

In triangle LMN,

Let us consider side length opposite to ∠L, ∠M, and ∠N be l , m , and n respectively.

Measure of side m = 450 inches

Measure of ∠M = 74°

Measure of ∠N = 41°

Sum of all the angles in a triangle is equal to 180°

m ∠M + m ∠N + m ∠L = 180°

⇒ 74° + 41° + m ∠L = 180°

⇒ m ∠L = 180° - 115°

⇒ m ∠L = 65°

Using sine law of triangle we have,

sin L / l  = sin M / m = sin N / n

⇒sin L / l  = sin M / m

Substitute the value we get,

⇒ sin 65° / l  = sin 74° / 450

⇒ l = sin 65° × ( 450 / sin 74°)

⇒ l = 0.9063 × ( 450 / 0.9613 )

⇒ l = 42.43 inches

⇒ l = 42.4 inches ( nearest tenth )

Therefore, the measure of the side length l in a triangle LMN is equal to 42.4 inches ( nearest tenth ).

The above question is incomplete, the complete question is:

In ΔLMN, m = 450 inches,  m ∠M=74° and  m ∠N=41°. Find the length of l, to the nearest 10th of an inch.

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Answer: 424.3

Step-by-step explanation: n ΔLMN, m = 450 inches, m∠M=74° and

m∠N=41°. Find the length of l, to the nearest 10th of an inch.

A.A.S.→Law of Sines

Plug in. Opposite sides go together. 450 sin, 65 sin 74 ≈ 424.2742 ≈ 424.3

l=

sin74

450sin65

≈424.2742≈424.3

If 30% of a number is 42 and 70% of the same number is 98, find 40% of that number.

Answers

Answer:

56 is 40% of the original number

Step-by-step explanation:

Let [tex]n[/tex] represent the original number

We are given that  

30% of number is 42

70% of the same number is 98

Lets convert the precents to decimals

30% as a decimal is [tex]0.3[/tex]

70% as a decimal is [tex]0.7[/tex]

We can create an equation for each scenario

[tex]0.3n=42\\0.7n=98[/tex]

We can choose either one to evaluate [tex]n[/tex].

[tex]0.3n=42[/tex]

Lets solve for [tex]n[/tex].

Divide both sides by [tex]0.3[/tex].

[tex]n=\frac{42}{0.3}[/tex]

Evaluate [tex]\frac{42}{0.3}[/tex].

[tex]n=140[/tex]

Now that we know what the original number is we can calculate what 40% of the number is.

40% as a decimal is [tex]0.4[/tex].

[tex]140*0.4=56[/tex]

Which number sentence is not true? 0<100, 0=0, -100<0, -100>0

Answers

The 1st one I’m pretty sure
The number sentence that is NOT true is 100% the last one -100>0. Any positive # is greater than ANY negative number always. The other 3 are correct.

2. Divide R3 520 in the ratio 11:12:17.​

Answers

Answer:

Rs 3520 is divided in the ratio 11:12:17 as rs 968, rs 1056, and rs 1469

Step-by-step explanation:

According to the question, we have to divide rs 3520 in the ratio 11:12:17

let the common ratio be x

so, total share= (11+12+17)x = 40 x

for the first person, share would be (11x/40x)*(Rs 3520)

=Rs 968

for the second person, share would be (12x/40x)*(Rs 3520)

=Rs 1056

for the third person, share would be (17x/40x)*(Rs 3520)

=Rs 1496

The shares are Rs 968, Rs 1056, and Rs 1469

hope this helps :)

PLS HELP I HAVE TO SUBMIT IN LESS THAN AN HOUR
A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=0.9x²-180x+20,985. How many machines must be made to
minimize the unit cost?
Do not round your answer.

Answers

At 100 machines the unit cost will be minimum and the minimum cost is 11985.

Finding the maximum and minimum on parabolas:

The lowest point on the graph, that is referred to as the minimum, or min, is the vertex of a parabola. The highest point on the graph, that referred to as the maximum, or max, is the vertex of a parabola.

The formula for the minimum value is given by -b/2a

Here we have

The medical equipment industry manufactures X-ray machines. If x machines are made, the unit cost is given by the function
C(x) = 0.9x²-180x+20,985.  

Compare given C(x) with the standard equation ax² + bx + c  

=> a = 0.9, b = -180 and c = 20,985  

We can find the x - coordinate where the minimum value occurs using the formula -b/2a    

The x-coordinate where the minimum value occurs = - (- 180)/2(0.9)

= (180)/1.8 = 100

Hence at x = 100, the unit cost will be minimum

The unit cost can be calculated as follows

C(100) = 0.9(100)²-180(100)+20,985

= 0.9(10000) -18000 + 20,985    

= 9000 - 18000 + 20985

= 11985

Therefore,

At 100 machines the unit cost will be minimum and the minimum cost is 11985.

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which of the following results in smaller sampling variation of , the ols estimator for the slope coefficient in the sample regression model? group of answer choices smaller sample size (smaller ) smaller error variance (smaller ) smaller variation in in the sample (smaller )

Answers

Smaller sample size results in smaller sampling variation of the OLS estimator for the slope coefficient in the sample regression model due to the fact that it reduces the amount of variability in the data. Smaller error variance also reduces sampling variation as it reduces the amount of overall variation in the data.

The sampling variation of the OLS estimator for the slope coefficient in the sample regression model is affected by a variety of factors. A smaller sample size will result in smaller sampling variation because it reduces the amount of variability in the data. This is due to the fact that a smaller sample size will contain less variation in the independent variable, and therefore the estimated slope coefficient will have less variation. Additionally, a smaller error variance will also reduce the sampling variation as it reduces the amount of overall variation in the data. Finally, smaller variation in the independent variable in the sample will also lead to smaller sampling variation of the OLS estimator. This is because the slope coefficient is estimated by minimizing the sum of squared residuals, which is a function of the variation in the independent variable. Thus, if the variation in the independent variable is reduced, the slope coefficient will have less variation. In conclusion, all three factors can lead to reduction in the sampling variation of the OLS estimator for the slope coefficient in the sample regression model.

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how many ounces of a 30% alcohol solution must be added to a 70% alcohol solution to make 50 ounces of a 40% alcohol solution?

Answers

To make 50 ounces of a 40 percentage alcohol solution, eight ounces of the 30% solution must be mixed with the 70% solution.

1. Round the two solutions' initial concentrations to the nearest tenth (30% alcohol = 0.3; 70% alcohol = 0.7).

2. Determine the combined solution's overall alcohol content

(30% + 70%): 0.3 + 0.7 = 1.

3. Multiply 50 ounces by 0.4 to get the total amount of alcohol required for a 40% solution:

50 x 0.4 = 20 ounces.

4. Determine how much 30% solution is required to reach the desired concentration. 1 divided by 20 equals 20 ounces.

5. Subtract the quantity of the existing 70% solution:

(50 ounces x 0.7)/20 ounces = 8 ounces.

6. The outcome is that 8 ounces of the 30% solution are required to create 50 ounces of the 40% solution.

The original concentrations of the two solutions must first be converted to decimals (30% alcohol = 0.3; 70% alcohol = 0.7) in order to determine how much of a 30% alcohol solution has to be added to a 70% alcohol solution to create 50 ounces of a 40% alcohol solution. The two decimals can then be added to determine the total amount of alcohol present in the combined solution: 0.3 + 0.7 = 1. In order to determine the entire amount of alcohol required for a 40% solution, multiply 50 ounces by 0.4, which results in 20 ounces. The amount of the 30% solution required to reach the specified concentration can be estimated by dividing 20 ounces by 1, which is 20 ounces. Then, 20 ounces must be divided by the amount of the 70% solution that is already present to get 8 ounces. As a result, 8 ounces of the 30% solution are required to create 50 ounces of the 40% solution.

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please help with 4(i)-4(iii). with steps please

Answers

1) Given that the perimeter of the rectangle is at least 40 cm, the  inequality and show that it reduces to x ≥ 3 2/3 is:  12x - 4 >= 40

2) The smallest possible value of x is 4

3) The area of the rectangle is  57 cm²

What is the rationale for the above response?

(i) The perimeter of a rectangle is given by the formula P = 2(l + b), where l is the length and b is the breadth. Substituting the given values, we get:

P = 2(4x + 3 + 2x - 5) cm

P = 2(6x - 2) cm

P = 12x - 4 cm

We are given that the perimeter is at least 40 cm, so we can write the inequality:

12x - 4 ≥ 40

Simplifying this inequality, we get:

12x ≥ 44

Dividing both sides by 12, we get:

x ≥ 11/3

x ≥ 3 2/3

So the inequality reduces to x ≥ 3 2/3

II) Note that if x is a perfect square, the smallest possible value of x is 4, because 4 is the smallest perfect square.

III) Substituting x = 4 in the length and breadth of the rectangle, we get:

Length = 4x + 3 = 19 cm

Breadth = 2x - 5 = 3 cm

Therefore, the area of the rectangle is:

Area = Length x Breadth = 19 cm x 3 cm = 57 cm²

Thus, it is correct to state that the area of the rectangle is 57cm².

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Is y=5 and x=-1 parallel

Answers

Answer:

y=5 and x=-1 are parallel

Step-by-step explanation:

Let's do a quick review on some things:

Parallel lines are the lines that never intersect and perpendicular lines are the lines that intersect at 90°.

Lines with the same slope are parallel and if the slope of one line is the negative reciprocal of the second line, then they are perpendicular.

So, this answers to your question that it's parallel!

Hopefully this helps :)

sahalin cellphone plan costs $30 a month.she used 12.5 hours in january
a.what was her cost per minute?

Answers

The cost per minute is $0.04.

What is Unit rate?

Unit rates are defined as rates that are expressed as multiples of 1, such as 2 feet per second or 5 miles per hour.

Given:

Sahalin cellphone plan costs $30 a month.

In a month of may she used cellphone 12.5 hours.

First convert 12.5 hours in minute.

As we know 1 hour = 60 minutes

So, 12.5 hours = 12.5 x 60

                       = 750 minutes

and, the cost per minute

= 30/750

= 0.04

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Find the percent increase/decrease:

64 photos to 21 photos rounded to the nearest percent.

Answers

The percent decrease of having 64 photos to 21 photos is 70.49%.

What does Percent Decrease mean?

Percentage decrease is the difference between starting and ending values. It shows a loss of value from the original expressed as a percentage regardless of units. The amount of decrease is the original amount minus the final amount.

The formula for Percent Decrease is: Decreased Value = (Original Value – New Value)/Original Value.

The computation of our Percent Decrease:

= (64 - 21)/61 * 100

= 70.49%

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In August, 18% of the middle school students voted in a school election. The number of students who voted was 213. How many students are in the middle school?

Answers

If 18% of middle school student voted in a school election and number of students who voted is 213 , then the total students in the middle school is approximately 1184 students .

Let "x" be = total number of middle school students.

We know that 18 percent  of the students voted = 0.18x, and is equal to 213  ;

that means , ⇒ 0.18x = 213 ;

Now we need to solve for x,

We divide both sides by 0.18 ;

⇒ x = 213/0.18  ;

Simplifying, we get:

⇒ x = 1183.33

Since the number of students cannot be in decimal ,

So ,  the actual number of students must be greater than or equal to 1183.33.

Therefore, the middle school has approximately 1184 students.

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Question 3 Complete the following word problems by showing all your calculations: 3.1) Thato bought a bicycle for R 8 000 on a loan at Cycle lab. If the interest rate was 14% per annum for 3 years. a) What is the interest he will pay? b) What is the final amount he will pay for the bicycle? 3.2) The florist bought 200 roses for R900. If she sells the roses in a bouquet of five for R 35. a) What was the cost price per rose? b) What is the selling price per rose? c) What is the profit that she will make per rose? 3.3) The shopkeeper buys oranges and apples at a ratio of 4:3. How many apples will he buy, if he buys 96 oranges? (3) 3.4) Mr Dingaan started practicing the 1st of January to run a marathon of 140 km on the 1st of June. He practices every day for 3 hours and runs at a speed of 35km/hour. a) What is the distance that he runs in one day? b) What is the total distance he runs during the time that he practices, from January to June?​

Answers

1a. The interest that Thato will pay equals to R3,840.

1b. The final amount he will pay for the bicycle will be R 11 840.

1a What is the interest he will pay?

a) To calculate the interest that Thato will pay, you can use the following formula:

Interest = Principal * Rate * Time

Interest = R 8,000 * 0.14 * 3

Interest = R3 840

1b What is the final amount he will pay for the bicycle?

Final amount = Principal + Interest

Final amount = R 8,000 + R 3,840

Final amount = R 11,840

2a What was the cost price per rose?

Cost price per rose = Total cost of roses / Number of roses

Cost price per rose = R 900 / 200

Cost price per rose = R 4.50

2b. What is the selling price per rose?

Selling price per rose = Price of bouquet of 5 roses / Number of roses in the bouquet

Selling price per rose = R 35 / 5

Selling price per rose = R 7.00

2c. What is the profit that she will make per rose?

Profit per rose = Selling price per rose - Cost price per rose

Profit per rose = R 7.00 - R 4.50

Profit per rose = R 2.50

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Find the indicated side of the
triangle.
b
30°
12
a = -

Answers

Answer:

Find the indicated side of the

triangle.

b

30°

12

a = -

Step-by-step explanation:

a wireless garage door opener has a code determined by the up or down setting of 16 switches. how many outcomes are in the sample space of possible codes?

Answers

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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HELP ASAPPP PLEASEEEEEEEEE

Answers

Answer:

Two geometric objects are perpendicular if they intersect at a right angle.

Step-by-step explanation:

How you know:

The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.

please help me with this

Answers

Answer: 1 [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Make it a mixed number then simplify if you can. I hope this helps.

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