What's true about a translation

Answer:

x = 7

Step-by-step explanation:

We can identify the figure formed by 2 radii, (6x - 3), and (3x + 18) as a kite because it is a quadrilateral symmetric around a center line.

The radii sides are congruent, and therefore, the other two sides must be congruent as well. So, we can solve for x by equation (6x - 3) and (3x + 18).

\(6x - 3= 3x + 18\)

↓ subtracting 3x from both sides

\(3x - 3= 18\)

↓ adding 3 to both sides

\(3x = 18 + 3\)

\(3x = 21\)

↓ dividing both sides by 3

\(\boxed{x = 7}\)

According to the question the value of the 5 digit in 4,597 is 9.

Digit is a numerical symbol used to represent numbers in the decimal system. It is a single symbol used to represent a number ranging from 0 to 9. Digits are used to represent numbers in all forms of mathematical calculations and equations. The most common digits used in calculations are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Each digit has an associated numerical value, which can be used to create larger numbers or to perform complex mathematical operations.

The answer is D) 9. The value of the 5 digit in 4,597 is 5. To find the 10 times its value, you must multiply 5 by 10, which equals 50. Therefore, the value of the 5 digit in 4,597 is 9.

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Answer: $22575

Step-by-step explanation:

$18075 is the value that he earns on the item itself so then you add on his basic wage and that gives you his final total of $22575

Needless to say he makes some pretty good money haha

Answer:

Proportionality constant k

When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.

Answer: Proportionality constant k

Step-by-step explanation:

below?

Answer:

If you did not receive a text message, then you do not have a cell phone

Step-by-step explanation:

This is the opposite of it

The probability that a randomly chosen value from a normal distribution with a mean of 55 and a standard deviation of 40 is greater than 69 is approximately 36.32%.

To calculate the probability that a chosen random value from a normal distribution with a mean of 55 and a standard deviation of 40 is greater than 69, we need to use the standard normal distribution and calculate the z-score.

The z-score is calculated using the formula:

z = (x - μ) / σ

where:

x is the value we want to find the probability for (69 in this case),

μ is the mean of the distribution (55), and

σ is the standard deviation of the distribution (40).

Substituting the given values into the formula:

z = (69 - 55) / 40

z = 14 / 40

z = 0.35

Next, we look up the z-score in the standard normal distribution table or use a statistical calculator to find the corresponding probability. The z-score of 0.35 corresponds to a probability of approximately 0.6368, or 63.68%.

However, since we are interested in the probability of a value greater than 69, we subtract the obtained probability from 1 to find the complementary probability: 1 - 0.6368 = 0.3632, or 36.32%.

Therefore, the probability that a randomly chosen value from the given normal distribution is greater than 69 is approximately 36.32%.

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You will overtake your adversary when you are 60 metres beyond your starting position at x=0 and 40 metres from the finish line, respectively.

For the stated question-

(y +4x) -(y +3.8x) = (100) -(97)

On solving,

0.2x = 3

x = 15

That means, in 15 seconds, each will be equally far from the goal.

Your speed is 4 metres per second .

Therefore, you will have run for the 15 seconds it requires to catch the opponent.

(15 s)(4 m/s) = 60 m

Running 60 metres is required to catch his opponent.

When you are 40 metres first from finish line and 60 metres from your starting point at x=0, you will catch up to your rival.

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the awnser is B x-2                    

Answer:

1/3

Step-by-step explanation:

this is because you have six sides and two options to get and then 2/6 is 1/3

Answer:

B) 20

Step-by-step explanation:

16/ 0.8= 20

Answer:

x = 20

Step-by-step explanation:

16          80%

__    =    ___

x            100

16*100= 1600

80*x=80x

80x/80 = x

1600/80 = 20

x=20

a) The mass of a grain of rice in standard form; 0.3×10⁻¹ gram.

b) The mass, in grams, of rice eaten in the USA each year: 4.6×10¹² grams.

For the given question;

a) Weight of the rice grain is  0.03 g.

Shift the point to one decimal of the right and replace it with 10⁻¹ for this.

= 0.3×10⁻¹

Thus, the number in standard form becomes 0.3×10⁻¹ grams.

b) In USA, the rice eaten per year = 4.3 million tonnes.

1 tonne = 1 million grams

And, we know, one million can be written as.

1 million = 10⁶

4.3 million tonnes = 4.6×10⁶ tonnes.

Now, if  1 tonne = 1 million grams.

Then, multiply both side by 4.6×10⁶.

4.6×10⁶ × 1 tonne = 4.6×10⁶×1 million grams.

4.6×10⁶ tonnes = 4.6×10⁶ million grams.

Again convert million as 10⁶.

= 4.6×10⁶×10⁶

= 4.6×10⁶⁺⁶

= 4.6×10¹²

Thus, in USA 4.6×10¹² grams of rice is eaten each year.

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Answer:

5.

Step-by-step explanation:

First we write them in prime factor form:

80 = 2 * 2 * 2* 2 * 5

75 = 3 * 5 * 5

Now we select the common factors:

The only common factor is 5,

- that is the GCF.

Answer: 5

Step-by-step explanation: What is the GCF of 75 and 80? The answer is 5. Get the stepwise instructions to find GCF of 75 and 80 using prime factorization method and you will get 5.

ANSWER

1.08p = t

x = m/4

V = 12s^2

EXPLANATION

The proportional relationship between the quantity y and the quantity x has a constant of proportionality k and is expressed by the equation y = kx. If the equation can be rewritten in other forms as above, it is proportional.

Equation 1.

120 - x = L.

This cannot be rewritten as y = kx

Equation 2:

1.08p = t

This can be rewritten as y = kx

Equation 3

x = m/4

This can be rewritten as y = kx

Equation 4

V = 12s^2

This can be rewritten as y = kx

Hence, 1.08p = t, x = m/4 and V = 12s^2 equations represent proportional relationships.

Answer:

The identity property of one states that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same. The reason the number stays the same is because multiplying by 1 means we have 1 copy of the number. For example,

32x1=32.

Answer:

jqjabaabJajanabababanan

Step-by-step explanation:

jajajajajaajajjaja

Answer:

\(x=2; x=-2\)

Step-by-step explanation:

Please see attached document for step-by-step instructions. Given equation is provided in red ink. In addition, reductions are in red ink. Green ink is used for moving. Please note, square roots have two values - a positive and negative value.

~~

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The equation of the given linear function passing through two points is

y = 6 -2x.

Let (x₁, y₁) and (x₂, y₂) be two points on the given linear function whose equation in variables x and y is given by formula below.

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

Given that  f is a linear function ,

f(-3) = 12

f(6) = -6

⇒(x₁, y₁) = ( -3,12)

  (x₂, y₂) = ( 6,-6)

Thus the equation of the linear function is :

⇒ y - 12 = { ( -6-12)/(6-(-3))} ( x - (-3))

⇒ y - 12 = { -18/ 9} ( x +3)

⇒ y - 12 = -2 ( x+3)

⇒ y = 12 -2x - 6

⇒ y = 6 -2x

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Answer:

-4x-10

Step-by-step explanation:

This is the answer if you are simplifying the expression.

Answer:

−  4    −  8

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Let the number be \(x\). Writing an equation in terms of the number, \(x\), gives

\(5x=13x-16\).

Adding \(16\) to both sides gives

\(5x+16=13x\).

Then, subtracting \(5x\) from both sides gives

\(8x=16\),

and dividing by 8 on both sides simplifies to

\(x=2\).

Answer:

lines 1 and 4

Step-by-step explanation:

both lines have a slope of 1/3 and are, therefore, parallel

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Answer:

a) (0,5)

b) (2, 9)

c) (10, -4)

d) (1,7)

Step-by-step explanation:

1) First choose an x value for your ordered pair. For answer a I choose "0".

2) Plug in your chosen value into the solution equation.

           F(0) = -(0)^2 + 5

                  = 5

3) The value that you get when you plug your x component into the solution equation is your y component!

(0,5)

The length (in centimeters) of a scalloped hammerhead shark can be modeled by the function C = -266t^2 + 2198t + 0.05, where t is the age of the shark in years.

To find the age of a shark that is 175 centimeters long, we can set the equation equal to 175 and solve for t.

-266t^2 + 2198t + 0.05 = 175

By rearranging the equation and solving for t, we can find the age of the shark. However, the quadratic equation does not have a simple solution, so we can use numerical methods or a graphing calculator to approximate the value of t.

Using numerical methods or a graphing calculator, we find that the approximate age of the shark that is 175 centimeters long is around 5.5 years. Therefore, the shark is about 5.5 years old.

The age calculation is based on the given quadratic function that models the length of a scalloped hammerhead shark. By setting the function equal to the given length, we can solve for the age of the shark. It is important to note that this is an approximation, as the solution involves solving a quadratic equation.

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For which population is 636363 wins a legitimate estimate of the average longest streak: Only the top 200200200 longest streaks worldwide in June

Mean = sum of data / Number of data

The 200200200 longest streaks weren't randomly selected from a larger population. They are not representative of all players in the world or Canada, but they are the top 200200200 longest streaks of all players. So,

Only the top 200200200 longest streaks worldwide in June will win.

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Answer:

45

Step-by-step explanation:

Let's do it for smaller numbers first.

0 people -> 0 high fives

1 people -> 0 high fives

2 people -> 1 high fives

3 people -> person 1 high fives 2 then 3

And person 2 high fives 3

->2+1= 3 high fives

4 people -> person 1 high fives 2,3, then 4

And person 2 high fives 3 then 4

And 3 high fives 4

->3+2+1=6

5 people -> person 1 high fives 2,3,4, then 5

And person 2 high fives 3,4, 5

And 3 high fives 4,5

And 4 high fives 5

-> 4+3+2+1=10

So for n people there would be (n-1)+(n-2)+....+3+2+1 high fives or (n-1)n/2 people.

Test:

3 people -> (3-1)3/2=(2)3/2=3

4 people -> (4-1)4/2=(3)4/2=6

5 people -> (5-1)5/2=(4)5/2=10

10 people-> (10-1)10/2=(9)10/2=90/2=45

or you could do 9+8+7+6+5+4+3+2+1 which also gives 45.

The other person has a great answer. Here's another approach.

Let's say we're selecting 2 people to fill slots A and B.

Slot A has 10 choices and slot B has 9 choices (since we can't pick the same person again to fill both slots simultaneously).

We have 10*9 = 90 ways to do this if order mattered.

However, we don't care about the order so we actually have 90/2 = 45 ways

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

Put another way: we can form a table that has 10 rows and 10 columns.

This table has 10*10 = 100 cells inside it.

Cross off the main diagonal that runs from the upper left corner to the bottom right corner. Any of these cells represent a certain person handshaking with themself, which we don't consider.

We cross of 10 items along this diagonal so we have 100-10 = 90 cells leftover.

Now consider that person A shaking with B can be notated as AB. This is identical to BA because the order doesn't matter. So we have twice as many handshakes counted.

That's why we divide by 2 to go from 90 to 90/2 = 45

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

Another way to find the answer is to use the nCr combination formula with n = 10 and r = 2.

Yet another way to find the answer is look at Pascal's triangle. Find the row that has 1,10,45... in it at the start. These values correspond to r = 0, 1 and 2 respectively. We can see that 45 is when r = 2, which means we have 2 people shaking hands and there are 45 ways to have ten people shake hands.

So there are many approaches you can take with this problem.

Answer:

screenshot your work so i can see the choices below

Step-by-step explanation:

Answer: x = -3    y = 29

Step-by-step explanation:

9x + y = 2

-4x - y = -17

5x = -15

Divide both sides by 5

x = -3

9x + y = 2

Substitute -3 for x

9 (-3) + y = 2

-27 + y = 2

Add 27 to both sides

y = 29

Hope I helped!

Using it's formula, it is found that the accuracy of the test was of 0.85 = 85%.

The accuracy of a test is given by the number of correct results divided by the number of results.

In this problem, there are 80 tests, and of those, 5 + 7 = 12 had incorrect results, hence 68 had correct results.

Hence the accuracy of the test is given by:

a = 68/80 = 0.85 = 85%.

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