If 21 and 35 are two members of a Pythagorean triple, what is the third member?.

=============================================================

Explanation:

Focus on the first row only. This involves the stem 2 and various leaves. The stem 2 refers to having a tens digit of 2. So it involves the numbers 20 through 29.

More narrowly, we're involving the values: 20, 22, 24, 24, 27, 29. Each value corresponds to exactly one leaf in that first row. For example, a stem of 2 and a leaf of 7 combine to form the number 27. Often, there will be a key at the bottom of the stem-and-leaf plot to indicate this in shorthand (eg: 2|7 means 27).

In that first row, we see the value 24 shows up twice. This means that there are 2 floors where there are 24 offices on those floors.

Step-by-step explanation:

ww have that 90 miles /2 hours is given and we are asked to find it in feet per second.

[tex] \frac{90 \: mi}{2 \: hrs} \times \frac{5280 \: ft}{1 \: mi} \times \frac{1 \: hr}{60 \: min} \times \frac{1 \: min}{60 \: sec} = 66[/tex]

So we get

66 fps.

2.

[tex] \frac{120 \: miles}{8 \: hours} \times \frac{5280}{1 \: mile} \times \frac{1 \: hour}{60 \: min} \times \frac{1 \: min}{60 \: seconds} = 22[/tex]

So we get 22 fps.

Extra credit There is 5 people and 2 hands so we use the combinations formula.

n!/r!(n-r)!. where n is the number of objects (the number of people) and r is the things taken at the time( the hands)

Subsitue

[tex] \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 3 \times 2 \times 1} [/tex]

[tex] \frac{20}{2} = 10[/tex]

Answer:

x=6

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

  8

Step-by-step explanation:

If j represents Jack's age, we have ...

  2j +5 = 21

  2j = 16 . . . . . . subtract 5

  j = 8 . . . . . . . . divide by 2

Jack is 8 years old.

Answer:

it is 6°. because 10 degree - 4 degree = 6 degree

Answer:

Negative Correlation

Step-by-step explanation:

The plot looks like it's going downwards. If it was an equation, it'd be something with y = -x +b.

Answer:

A

Step-by-step explanation:

In a function, each x value must have a singular y value. This means that one x-value (the values on the left) may not have a line pointing to 2 different y-values (the values on the right). In the first relation, the x-value of 6 points to both 4 and 6. This means that the value repeats, and in a function x-values cannot repeat.

However, y-values can repeat. So, situations like that seen in D, where both the x-values of 2 and 4 equal the y-value of 6 are fine.

Answer:

It's A

Step-by-step explanation:

Answer: 1/3?

Step-by-step explanation:

The wording is a bit confusing.  ". . . so 5 is what part of 9 is 3​ . ." seems to be missing some portion of the sentence.

You ate 5/9 of the candies.  There were 9 and you consumed 5.  I don't know what you are asking in " . .  what part of 9 is 3."  3 is 3/9, or 1/3.

Answer:

the 2nd option

Step-by-step explanation:

the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept

Answer:

0.55

Step-by-step explanation:

45/100 = 0.45

1/2 = 0.50

Answer:

0.55 is the biggest

Step-by-step explanation:

45% can be converted to 0.45

1/2 is the same as 50%, so in decimal form, it is 0.50 (although no matter how many 0s you put at the end, it will still be the same, so this could effectively be 0.5.)

0.55 is already done for you, so there is nothing to do here.

Therefore, the biggest is 0.55

Answer:

x = -3

Step-by-step explanation:

hope this helps!!

Answer:

3/2

Step-by-step explanation:

Use the KCF method.

Keep the first fraction (3/4)

Change the sign (division to multiplication)

3/4*2/1=6/4 or 3/2

Answer:

[tex]=\frac{3}{8} (Decimal: 0.375)[/tex]

Step-by-step explanation:

=[tex]\frac{3}{4*2}[/tex]

[tex]\frac{3}{8}[/tex]

Answer:

0.65

Step-by-step explanation:

7/6+6/6=13/6

13/6=2 1/6

2*0.3=0.6

[tex]\frac{3}{10} *\frac{1}{6} =\frac{1}{20}[/tex]

1/20=0.05

0.6+0.05=0.65

Answer:

        => 4x - 2x + 15

        => 2x + 15

        => -8 - 36x + 108x²

        => 15 - 14 - 56x

        => 1 - 56x

Step-by-step explanation:

Hoped this helped.

Answer:

[tex]\sf 1)\: 4x-\left(2x-15\right)[/tex]

Apply Distributive property:

[tex]\sf 4x-2x+15[/tex]

Combine like terms:

[tex]\boxed{\sf 2x+15}[/tex]

_____________

[tex]\sf 2)\:-8 + 9x (-4 + 12x)[/tex]

Apply Distributive property:

[tex]\boxed{\sf -8-36x+108x^2d}[/tex]

_______________

[tex]\sf 3)\: 15 - 14 ( 1 + 4x )[/tex]

Apply Distributive property:

[tex]\sf 15-14-56x[/tex]

Subtract numbers:

[tex]\boxed{\sf 1-56x}[/tex]

_______________________________________

3(y - 2) = 3y - 6

3y - 6 = 3y - 6

3y - 3y = - 6 + 6

0 = 0

It has ∞ solutions.

0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.

_____

Hope it helps ⚜

Answer:

Infinitely Many Solutions

Step-by-step explanation:

3(y - 2) = 3y - 6

3y - 6 = 3y - 6      Distribute 3.

0 = 0                    Combine the like terms.

Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.

Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.

Answer:

  B

Step-by-step explanation:

The table that represents a function will have no x-values repeated.

  A. 4 is repeated -- not a function

  B. all x-values are unique -- this is a function

  C. 2 is repeated -- not a function

  D. 3 is repeated -- not a function

Answer:

All real numbers

Step-by-step explanation:

It can go on to infinity.

Hope that helps

The given equation is the best line that approximates the linear

relationship between the midterm score and the score in the final exam.

Reasons:

The given linear regression line equation is; [tex]\hat y[/tex] = 25.5 + 0.82·[tex]\mathbf{\hat x}[/tex]

Where;

[tex]\hat y[/tex] = Final exam score;

[tex]\hat x[/tex] = The midterm score;

AJ score in the first test, [tex]\hat x[/tex] = 90

AJ's actual score in the exam = 99

Required:

The value of AJ's residual

Solution:

By using the regression line equation, we have;

The predicted exam score, [tex]\hat y[/tex] = 25.5 + 0.82 × 90 = 99.3

∴ AJ's residual = 99.3 - 99 = 0.3

AJ's residual = 0.3

Therefore, the correct option is option E;

Learn more about regression line equation here:

https://brainly.com/question/9339658

https://brainly.com/question/7361586

https://brainly.com/question/14747095

Step-by-step explanation:

Sheldon's brother shoveled 2/3 of the driveway

Remaining portion = 1 - ⅔

= (3-2)/3

= 1/3

Sheldon shoveled 3/4 of what was left= ¾ × ⅓

= ¼

Sheldon shoveled ¼ or 0.25 of the driveway

Ahmed shoveled ⁴/5 of half of the driveway = 4/5 × ½

= 2/5

Ahmed shoveled 2/5 or 0.4 of the driveway

0.4 > 0.25

therefore, Ahmed will have the larger area to shovel

Answer:

Ahmed shoveled more

Step-by-step explanation:

you need to do 3/4 - 2/3 which is 1/12 so the you do 1/12 x 3/4 = 3/48

compare with 4/15 and 4/15 is higher so that what you got wrong

Answer:

Here you go!!!!! Its correct let me know if you need any more problems for me to try and solve!!!

Step-by-step explanation:

i think the answer is 8

bc the small one is 4 and the big one is 6

and the other one is 6 so it must be 8

Answer:

Step-by-step explanation:

4x = 3yz^2

4x/3y = z^2

To undo an exponent you root it.

[tex]\sqrt{4x/3y} = z[/tex]

I believe this is it. you basically just have to divide by the numbers to get z by itself. If you have any questions please comment.

Answer:

so sorry i don't know the answer

Answer:

Step-by-step explanation:

New equation equals   - 5y = - 35

Step 2. y = 7

Step 3. 5x - 4( 7 ) = - 23

Step 4. ( 1 , 7 )

We have ( 4x + 3y ) : ( 3x + 4y ) = 24 : 25

[tex]\\ \sf\longmapsto \: \frac{4x + 3y}{3x + 4y} = \frac{24}{25} [/tex]

[tex]\\ \sf\longmapsto \: 25(4x + 3y) = 24(3x + 4y)[/tex]

[tex]\\ \sf\longmapsto \: 100x + 75y = 72x + 96y[/tex]

[tex]\\ \sf\longmapsto \: 100x - 72x = 96y - 75y[/tex]

[tex]\\ \sf\longmapsto \: 28x = 21y[/tex]

[tex]\\ \sf\longmapsto \: \frac{x}{y} = \frac{21}{28} = \frac{3}{4} [/tex]

Hence ,

[tex]\\ \sf\longmapsto \dfrac{4x+3y}{3x+4y}=\dfrac{24}{25}[/tex]

[tex]\\ \sf\longmapsto 24(3x+4y)=25(4x+3y)[/tex]

[tex]\\ \sf\longmapsto 72x+96y=100x+75y[/tex]

[tex]\\ \sf\longmapsto 96y-75y=100x-72x[/tex]

[tex]\\ \sf\longmapsto 21y=28x[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{21}{28}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{3}{4}[/tex]

[tex]\\ \sf\longmapsto x:y=3:4[/tex]

Answer:

Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is

[tex]\text{Given that,}\\\\\text{First term,}~ a_1= -\dfrac 16\\\\\text{Common ratio,}~ r = 2 \\\\\text{nth term}~ a_n = a_1 r^{n -1} = -\dfrac 16 \left(2^{n-1}\right)[/tex]