if the sides in a parallelogram are 3 cm and 5 cm, can the diagonal in the parallelogram be 10 cm? 8 cm? 4 cm? why?​

126 three-digit numbers may be formed using elements from the set {1,2,3,4,5,6,7,8}. if no element may be used more than once in a number and the number must be even

For given question,

We need to find number of three-digit numbers formed using elements from the set {1,2,3,4,5,6,7,8}  if no element may be used more than once in a number and the number must be even.

3-digit even  numbers are to be formed using the given six digits,1 ,2,3,4,6,7, and 8 without repeating the digits.

Then, units digits can be filled in 4 ways by any of the digits, 2,4, 6 or 8.

Since the digits cannot be repeated in the 3-digit numbers and units place is already occupied with a digit (which is even), the hundreds and tens place is to be filled by the remaining 7 digits.

So, the number of ways in which hundreds and tens place can be filled with the remaining 7 digits is the permutation of 7 different digits taken 2 at a time.

[tex]\Rightarrow ~^7P_2=\frac{7!}{(7-2)!} \\\\\Rightarrow ~^7P_2=42[/tex]

Thus, by multiplication principle, the required number of 3-digit numbers is 3 × 42 = 126

Therefore, 126 three-digit numbers may be formed using elements from the set {1,2,3,4,5,6,7,8}. if no element may be used more than once in a number and the number must be even

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Answer:

ok I will help u don't worry

8.55

Here's a video that could explain

https://youtu.be/WwKLA-6S-e0

Also when doing the math ignore the - sign, the larger number will determine if the answer will be a whole or a minus , let me explain, so as you see in the question the 5.1 is the largest so that means the answer will be a whole.

All the above data were obtained by entering them in excel format and obtaining it using standard methods.

A low standard deviation shows that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation suggests that the values are spread out over a wider range. The standard deviation is a measure of variance or dispersion in statistics. Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lowercase Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.

For sample size 5, Mean = 117.6 and Standard Deviation = 9.2

For sample size 12, Mean = 103.5 and Standard Deviation = 8.6

For sample size 30, Mean =104.6 and Standard Deviation = 8.7

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Answer: M(-3,1.5)

Step-by-step explanation:

A(-7,3)    B(1,0)

[tex]\displaystyle\\M(x,y)=(\frac{x_A+x_B}{2} ,\frac{y_A+y_B}{2} )\\\\M(x,y)=(\frac{-7+1}{2},\frac{3+0}{2} )\\\\M(x,y)=(\frac{-6}{2},\frac{3}{2} )\\\\M(x,y)=(-3,1.5)\\\\Thus,\\\\M(-3,1.5)[/tex]

Answer:

I don't know the exact question you're asking, but the solution for x would be x16.

a)

Solution,

According to fuel gauge,the petrol left is exactly between 1/2 and 3/4 part of the 40 litres.

i.e. Left fuel = (1/2 + 3/4)/2 litres

Here,

1/2 of 40l = 1/2×40l

= 20l

3/4 of 40l = 3/4×40l

= 30l

Then,

Left fuel = (20l + 30l)/2

= 50l/2

= 25l

Consumed fuel = 40l - 25l

= 15l

Therefore,15 litres of petrol is used to travel 240km

b)

Solution,

Consumed fuel = 15l

Distance covered = 240km

Then,

Fuel consumption rate = 240km/15 l

= 16km/l

Therefore,the rate of petrol consumption is 16km/l of his car for this journey

Answer:

$8,758

I hope this helps!

Answer:20

Step-by-step explanation:5*4=20 hope this helps

Evaluate expression and Name the property used in each step.

              =   { [5/(3 times 1)] } 3/5

              =    {[5/(3.1)]} 3/5

We can write,

Multiplicate identity,      

              = [5/3] 3/5

Substitution,

            = (5/3) (3/5)

Cancel the numerator and denominator values,

So,

We can write,

            = 1 Multiplicative Inverse

Therefore,

3/5evaluate the expression and name the property used in each step. [5/(3times1)] 3/5 is = 1 Multiplicative Inverse.

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a. The number of points that Jen earned will be 240 points.

b. The point total where a is the number of assists is 260 points.

The number of points that Jen earned will be:

= 2g

where g = number of goals scored

= 2 × 120

= 240

b. The point total is given by n + a where a is the number of assists.

Therefore, the point total will be:

= Goals + Assist

= 240 + 20

= 260 points.

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Answer: h=3V/a^2

Step-by-step explanation:

V=1/3a^2h

V=1/3 * a^2 * h

V*3=3*1/3 * a^2 * h

3V=a^2 * h

h=3V/a^2

The distance travelled by Charlotte in feet is 354 feet. This is obtained by using the concept of speed and distance on the given problem.

What is speed?

Speed is defined as the distance per unit of time. It is the numerical quantity that specifies how fast an object is moving. The basic unit of speed is given by m / s.

Calculation of the distance travelled by Charlotte in feet

Given:

Speed = 61.4 mi / h

Time = 3.93 s

The basic step to solve this problem is to convert miles per hour to feet per second

(61.4 mi / hr) * (5280 feet / mi) * (1 hr / 3600 sec) = 90.0533 feet / sec

Now, multiply the speed by the number of seconds to find the value of distance in feet

(90.0533 feet / sec) * (3.93 sec) = 353.909 feet.    

Hence, the distance travelled by Charlotte in feet is 354 feet.

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Answer: whats the answer choices

Step-by-step explanation: i dont get it

Answer:

1,798/7

Step-by-step explanation:

1812/7-2 (or it can be written as 14/1 because you getting rid of two sevenths)

Answer:

This is a quadratic (second-degree) polynomial.

Using the normal distribution, it is found that:

a) The rating would have to be of at least 9.78.

b) The z-score for a rating of 5 is of -1.53.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given by:

[tex]\mu = 7.6, \sigma = 1.7[/tex]

For item a, we have to find the 90th percentile, which is X when Z = 1.28, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

1.28 = (X - 7.6)/1.7

X - 7.6 = 1.28 x 1.7

X = 9.78.

The rating would have to be of at least 9.78.

For item b, we have to find Z when X = 5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (5 - 7.6)/1.7

Z = -1.53.

The z-score for a rating of 5 is of -1.53.

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Answer:

3

Step-by-step explanation:

the absolute value is distance of a number from 0 so +3 absolute value is 0

The equation shown on the graph is y = 2x + 3. The correct answer is C. y = 2x +3

From the question, we are to determine the equation that represent the given line

To determine the equation, we will pick two points on the line and determine the equation of the line

Picking the points (0, 3) and (3, 9)

Using the formula for the finding the equation of a line with two given points

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

x₁ = 0

y₁ = 3

x₂ = 3

y₂ = 9

Then,

(y - 3)/(x - 0) = (9 - 3)/(3 - 0)

(y - 3)/x= 6/3

(y - 3)/x= 2

y - 3 = 2x

y = 2x + 3

Hence, the equation shown on the graph is y = 2x + 3. The correct answer is C. y = 2x +3

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Answer:

  12 and 14

Step-by-step explanation:

You want two consecutive even integers such that the lesser is five more than half the greater.

Let x represent the lesser of the integers. Then x+2 is the greater, and we can write the given relation as ...

  x = (x+2)/2 +5 . . . . . lesser is 5 more than half the greater

Multiplying by 2 gives ...

  2x = x +2 +10

  x = 12 . . . . . . . . subtract x

  x+2 = 14

The two integers are 12 and 14.

Considering the definition of an equation and the way to solve it, the equation is 901.5 + 46x= 1775.50  and the number of players the team can bring to the tournament is 19.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it and the equality must be true. To solve an equation, keep in mind:

Being "x" the number of players the team can bring to the tournament, and knowing that:

the equation in this case is:

901.5 + 46x= 1775.50

Solving:

46x= 1775.50 - 901.5

46x= 874

x= 874 ÷ 46

x=19

Finally, the equation is 901.5 + 46x= 1775.50  and the number of players the team can bring to the tournament is 19.

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The inequality will be -  {x ∈ R: x > x+2} that describes a set of all real numbers x more than 2 units from 0.

Relationships between two expressions that aren't equal to one another are known as inequalities. Inequalities are represented by the symbols <,>,=,etc.

The equation-like form of the formula 5x - 4 > 2x + 3 has an arrowhead in lieu of the equals sign. It is an illustration of inequity. This shows that the left half, 5x - 4, is bigger than the right part, 2x + 3. Finding the x numbers for which the inequality holds true is what we are most interested in.

Given,

all real numbers x more than 2 units from 0

So, the inequality representing the the information will be -

{x ∈ R: x > x+2}

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Each relationship's proportionality constants are k=3 and k=1, respectively.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

Given that the relationship is proportional,

the equation linking the quantities is y = k x k, where k is the proportional constant.

Divide both sides by x to determine k

k = y/x

For graph a use the point (2, 6 ), then

k = 6/2

= 3

For graph b use the point (4, 4 ), then

k = 4/4

= 1

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Answer:

the approximate value should be 2.83

0.721 can be written in scientific notation as 7.21 x [tex]10^{-1}[/tex]

Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example:

1 x 10² is equivalent to 100

1 x [tex]10^{-1}[/tex] is equivalent to 0.1

To convert 0.721, multiply and raise 10 to the power of -1

by 10  = 7.21 x [tex]10^{-1}[/tex]

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Quadratic equation which is x² + x - 272 = 0 can be used to find the product of two consecutive integers.

An algebraic equation of a second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

Let one number be x,

second number will be - (x+1)

so, the product of two numbers will be -

x(x+1) = 272

x² + x = 272

x² + x - 272 = 0

The quadratic equation, used to find the numbers is x² + x - 272 = 0.

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Answer:

0.83

Step-by-step explanation:

10.5-9.67 the answer is 0.83

Answer:The answer is 0.83

Step-by-step explanation:Please give brainliest if right.I hope this helps.