Which piecewise relation defines a function?

Answer:6

Step-by-step explanation:

Answer:

28.77

Step-by-step explanation:

61/212 *100

= 6100/212

= 28.773   which is 27.33 rounded to the nearest hundredth

Answer:

0.29

Step-by-step explanation:

61/212 = 0.2877358490566038

The hundredth place is where the "8" is at after the decimal ( the one that is in bold)

4 or less, let it rest, 5 or more, let it sore

The number after the "8", is "7", since "7" is greater than 4 "5 or more let is sore", we can convert the "8" into a "9" which means that the numbers after the hundredths place wont exist no more....

0.29 will be your answer

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

1) PM < PQ + QM

2) PM < PR + MR

3) PM < 1/2 (PQ + PR + QR)

Step-by-step explanation:

This problem is based on the Pythagorean Theorum Equation

which states that a right triangle with sides a, b and hypotenuse can be written mathematically as hypotenuse = [tex]\sqrt{a^2 + b^2}[/tex]

We can rewrite each line segment of the diagram into variables to simplify this problem and use the Pythagorean equation:

Line PQ = Hypotenuse 1, Line PR = Hypotenuse 2, Line PM = Side B, Line QM = Side A, Line MR = Side C

With all the line segments simplified into variables you can separate the diagram into 2 seperate triangles. Triangle 1 has H1, A, B and Triangle 2 has H2, C, B

Using the Pythagorean equation for both triangles you get:

H1 = [tex]\sqrt{a^2 + b^2}[/tex]   and H2 = [tex]\sqrt {c^2 + b^2}[/tex]  

Now you can assign random values for each variable and compare the problem statements.

For Triangle 1 lets assign variables A = 1, B = 2, and H1 = [tex]\sqrt{1^2 + 2^2}[/tex] = [tex]\sqrt{3}[/tex] = 1.73  For Triangle 2 lets assign variables C = 3, B = 2 and H2 = [tex]\sqrt {3^2 + 2^2} = \sqrt {13}[/tex] = 3.6  

For the final step you can directly compare the statements and see which symbol is correct.

1) B ____ H1 + A is equivalent to  2  ____ (1.73 + 1),  which is turns out to be  2 < 2.73   The answer is  <

2) B ____ H2 + C is equivalent to 2 ____ (3.6 + 3), which turns out to be

2 < 6.6    The answer is < again

3) B ____ 1/2 (H1 + H2 + (A+C)  is equivalent to  2 _____ [1/2] (1.73 + 3.6 + 1 + 3), which turns out to be  2 < 4.67     The answer is <  again

Answer:

C

Step-by-step explanation:

Answer:

3.5 g

Step-by-step explanation:

To answer this, multiply 100 g by 0.035:  3.5 g

9514 1404 393

Answer:

Step-by-step explanation:

1. The mass of the salt in 100 g of seawater is given as 3.5% of the total mass, so is ...

  3.5% × 100 g = 3.5 g . . . . salt in 100 g of seawater

__

2. Let m represent the mass of seawater that contains 100 g of salt.

  3.5% × m = 100 g

  m = (100 g)/0.035 ≈ 2857 g

About 2.857 kg of seawater must evaporate to leave 100 g of salt.*

_____

* Clearly, only the water evaporates, the mass of the evaporated water is 2.757 kg. The number above is the mass of seawater that is required in order to obtain 100 g of salt. The wording of the problem leaves some ambiguity, it seems.

Answer:

C) ASA

Step-by-step explanation:

Use what's given to limit your options:

We have two pairs of congruent angles, <B and <E, <C and <F, which means we can eliminate choices B and D because both don't account for both angle pairs.

Since we read proofs from left to right, only C works because the side is in between.

Answer:

No, he got 75%

Step-by-step explanation:

First Do 27 divided by 36

After you do that you will get 0.75

Secondly move the decimal two times to the right or do 0.75 times 100 to get 75%

Answer:

2 or b

Step-by-step explanation:

2 or b

The angles that are adjacent to angle 3 are angles 2 and 4

The adjacent angles of an angle are the angles next to the angle in the diagram

The given angle is angle 3.

This means that the adjacent angles of angle 3 are the angles beside angle 3

These angles are angles 2 and 4

Hence, the angles that are adjacent to angle 3 are angles 2 and 4

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Answer:four over seven

Step-by-step explanation:

9514 1404 393

Answer:

  4

Step-by-step explanation:

Maybe you want the value of 16/f when f=4. Put the value of f where f is and do the arithmetic.

  [tex]\dfrac{16}{f}=\dfrac{16}{4}=\boxed{4}[/tex]

The solution to the given system of equations j + k = 3

and j - k = 7 is (5, −2).

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have a system of equations as -

j + k = 3

j - k = 7

Plot the graph of both equations and find the point of intersection to find the common solution.

j + k = 3

j - k = 7

Using substitution method, we can solve it as follows -

j - k = 7

j = k + 7

Then -

j + k = 3

k + 7 + k = 3

2k = -4

k = -2

Then, j = 5

Therefore, the solution to the given system of equations j + k = 3

and j - k = 7 is (5, −2).

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Answer:

22*1.06 = cost of meal with tax = 23.32

22*.20   = tip on the pre-tax cost = 4.40

Total = $27.72

When a polynomial P(x) is divided by (x+2), then the remainder is 1.

An equation with degree of 1 or higher is termed as a polynomial equation.

When a polynomial p(x) is divided by (x−a) , the remainder is p(a) .”

According to the question,

when P(x)is divided by (x+2), then remainder will be

r(x) = P(-2) = 1

Thus, the remainder is 1.

Learn more about Remainder theorem.

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Answer:

(x-1)=0 and (x+2)=1

Step-by-step explanation:

:)

Answer: {-3, 0, 1, 9}

Step-by-step explanation:

We can think of a function as a "machine" that "eats" an input, and it transforms it into an "output". A more theoretical definition of a function is a relationship that maps elements of a given set (the domain, this is the set of the inputs) into only one element from another set (the range, this is the set of the outputs)

In the image, we can see that the elements {-3, 0, 1, 9} are mapped into the element {2}

Then the set of the inputs will be the set {-3, 0, 1, 9}

The correct option is the last one.

Answer:

The pre-tax amount was $1300.

Step-by-step explanation:

Given that:

After-tax total = $1413.10

Tax rate in the area = 8.7%

The pre-tax price would be 100% and this tax rate is an addition.

Total percent = (100+8.7)% = 108.7%

Let,

x be the pre-tax amount.

108.7% of x = 1413.10

[tex]\frac{108.7}{100}x=1413.10\\1.087x = 1413.10[/tex]

Dividing both sides by 1.087

[tex]\frac{1.087x}{1.087}=\frac{1413.10}{1.087}\\x= 1300[/tex]

Hence,

The pre-tax amount was $1300.

This year's tuition is approximately $31,372.63.

To calculate this year's tuition, you need to apply the 5.3% increase to last year's tuition.

Let "T" be this year's tuition.

The increase in tuition is 5.3% of last year's tuition, which is 5.3% of $29,793.

Increase = 5.3% of $29,793 = (5.3/100) * $29,793 = $1,579.629

Now, to find this year's tuition, add the increase to last year's tuition:

This year's tuition (T) = Last year's tuition + Increase

T = $29,793 + $1,579.629

T ≈ $31,372.63

So, this year's tuition is approximately $31,372.63.

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Answer:

[tex]1.664778664710728^{6}[/tex]

Step-by-step explanation:

102 - 43 = 59

[tex]1.664778664710728^{6}[/tex]

1.664778664710728 * 1.664778664710728 * 1.664778664710728 * 1.664778664710728 * 1.664778664710728 * 1.664778664710728 * = 59

I checked and it worked, I just squared it 3 times

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

i think that it is 120.96

Step-by-step explanation:

4.8 x 6.3 =30.24

30.24 x 4 = 120.96

Answer:

Standard form of [tex]f(x) =(x-3)^2 + 6[/tex] is [tex]\mathbf{x^2-6x+15}[/tex]

Step-by-step explanation:

Convert from vertex form to standard form [tex]f(x) =(x-3)^2 + 6[/tex]

If the vertex form is: [tex]a(x-h)^2+k[/tex]

The Standard form is: [tex]ax^2+bx+c[/tex]

Now, converting [tex]f(x) =(x-3)^2 + 6[/tex] into standard form

We know that: [tex](a-b)^2=a^2-2ab+b^2[/tex]

Using the formula:

[tex]f(x) =(x-3)^2 + 6\\f(x)=x^2-2(x)(3)+9+6\\f(x)=x^2-6x+15[/tex]

So, Standard form of [tex]f(x) =(x-3)^2 + 6[/tex] is [tex]\mathbf{x^2-6x+15}[/tex]

Answer:

is there a answer choice?

Answer:

ANSWER MY QUESTION AND IL:L ANSWER YOURS

Step-by-step explanation:

Answer: Option  Option (B)

(B) There is likely an association between the categorical variables because the relative frequencies are not similar in value.  <======+ 100%

Step-by-step explanation:  Question?

.- A conditional relative frequency table is generated by column from a set of data. The conditional relative frequencies of the two categorical variables are then compared.

If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data?

The conclusion that should be supported is there is an association that lies between the categorical variables since the relative frequencies are not similar in value.

It is produced by the column form for setting out the data. It is of the two categorical variables that made for comparison.

In the case when the relative frequencies being compared are 0.21 and

0.79 so the above conclusion should be considered.

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Answer:

yeah, it is 35.77

Step-by-step explanation:

:)))))