Which of the following can be used as "reasons" in a two-column proof?

Answer:

b. 300x1 + 125x2 < = 4,000

Step-by-step explanation:

Maximum of 4,000 hours

This means that the the total amount of labor has to be of at most 4,000, that is:

[tex]T \leq 4000[/tex]

300 ping-pong balls (x1) or 125 wiffle balls (x2) can be produced per hour of labor

The total amount of labor is:

[tex]T = 300x1 + 125x2[/tex]

Uniting the two equations:

[tex]T \leq 4000[/tex]

[tex]300x1 + 125x2 \leq 4000[/tex]

And thus the correct answer is given by option b.

Distance = √[ ( 7 - 3 )^2 + ( 2p - 0 )^2 ]

Distance = √(4)^2 + ( 2p)^2

Distance = √16 + 4p^2

As the question said : Distance = √80

√80 = √16 + 4p^2

Thus :

16 + 4p^2 = 80

Subtract both sides 16

16 - 16 + 4p^2 = 80 - 16

4p^2 = 64

Divide both sides by 4

4p^2 ÷ 4 = 64 ÷ 4

p^2 = 16

Thus :

p = 4 or p = - 4

Step-by-step explanation:

x^2+2x+7y=15

7y=15-x^2-2x

y=15/7-1/7x^2-2/7x , x ∈ all real numbers

Answer:

Answer:f(2)=-3(2)^2+2*2+11

Answer:f(2)=-3(2)^2+2*2+11 =-3*4+4+11

Answer:f(2)=-3(2)^2+2*2+11 =-3*4+4+11 =-12+4+11

Answer:f(2)=-3(2)^2+2*2+11 =-3*4+4+11 =-12+4+11 =3

hence, f(2)=3

Answer:

d). Any Integer.

Step-by-step explanation:

Regression analysis is characterized as the statistical method that is employed to determine the association between a dependent, as well as, the independent variable(one or more). It

As per the question, the probable values for the arrangement of a polynomial would be 'any integer' in order to determine the relationship among the different variables(the two physical quantities). Since a regression analysis helps in knowing the factors that influence the other and the factors that do not affect much in order to reach a reliable conclusion. Thus, any of the values can be examined to examine the association among them. Hence, option d is the correct answer.

Answer:

68.18

Step-by-step explanation:

→ Set up an equation

[tex]\frac{44x}{100} =30[/tex]

→ Times both sides by 100

44x = 3000

→ Divide both sides by 44

68.18

Set the proportion as shown:

2660/4.75 = x/1

Cross multiply:

4.75x = 2660

Divide both sides by 4.75

x = 560

Answer: 560 miles per hour

Answer:

Using 3.14   for pi  A = 113.0  ft^2

Using the pi button A = 113.1 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi ( 6)^2

A = 36 pi

Using 3.14 for an approximation for pi

A = 36(3.14) = 113.04

To 1 decimal

113.0

Using the pi button

A = 113.0973355

A = 113.1

Answer:

Terry misappropriately represented the ratio on the left-hand side. Instead of 16/4, he wrote 4/16.

4+z/y = 36/18

Step-by-step explanation:

a) Since both triangles are similar triangles, then the ratio of their similar sides is equal to a constant k. Therefore:

16/4 = 18/y

Note that the arrangement depends on which of the triangles sides cones first.

Terry misappropriately represented the ratio on the left-hand side. Instead of 16/4, he wrote 4/16.

b) Same rule in (a) applies to the sum as well. Hence;

4+z/y = 16+20/18

4+z/y = 36/18

Answer:

The zeroes of the function are: 3 and 4

Step-by-step explanation:

Answer:

The number is 30.

Step-by-step explanation:

Let the number be x

so

x + (130% of x) = 69

x + 13x/10 = 69

or, (10x + 13x)/10 = 69

or, 23x = 690

or, x = 690/23

so, x = 30

Answer: 30

Step-by-step explanation:

its correct on rsm

9514 1404 393

Answer:

  92°

Step-by-step explanation:

The "givens" tell you the E and F are midpoints of their respective segments. That means EF ║ AB and angles DBF and EFC are "corresponding" angles with respect to transversal BC and those parallel lines. Corresponding angles are congruent, so ...

  m∠DBF = m∠EFC = 92°

Answer:

a x^2/2 is a polynomial because the power of x is 2 which is a positive whole number but 2/x^2 is not a polynomial because the power of x is -2 which is negative whole number.

b.in

[tex] \sqrt{2 x} [/tex]

the power if x will be

[tex]x {}^{ \frac{1}{2} } [/tex]

which is not a whole number so it is not a polynomial.

but in

[tex] \sqrt{2} x[/tex]

the power if x is a positive whole number.so it is a polynomial.

c.the greatest power of variable of the term is called degree of polynomial

Answer:

29/44

Step-by-step explanation:

[tex]\frac{4}{11} +\frac{5}{22} +\frac{3}{44} =\\[/tex]

-find the common denominator

[tex]\frac{4*4}{4*11} + \frac{2*5}{2*22} +\frac{3}{44} =[/tex]

[tex]\frac{16}{44} +\frac{10}{44} +\frac{3}{44} =[/tex]

-add the fractions and solve

[tex]\frac{16+10+3}{44} =[/tex]

[tex]\frac{29}{44}[/tex]

Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

2x - (4y - 3) + 5xz

x = -3

y = 2

z = -1

Step 2: Evaluate

Answer: Hello your question is incomplete attached below is the complete question

answer:

i) 0.8 ,   standard error =  0.0516

ii) 0.39,  standard error = 0.0425

Step-by-step explanation:

i) proportion of Juveniles reference for females ( f )

= x₁ / n₁ = 48 / 60 = 0.8

standard error = [tex]\sqrt{\frac{0.8(1-0.8)}{60} }[/tex]  = 0.0516

ii) Proportion of Juveniles reference for males ( m )

= x₂ / n₂ = 52 / 132 = 0.39

standard error = [tex]\sqrt{\frac{0.39(1-0.39)}{132} }[/tex] = 0.0425

lim ( sinx-1)/(x-1)

x=>0

apply x=0

(sin(0)-1)/(0-1)

(0-1)/(-1)

=1

Given:

The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).

Transformation: Reflection over the x-axis and a translation of shifting right 10 units.

To find:

The image after glide reflection transformation.

Solution:

The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).

If a figure is reflected over the x-axis, then

[tex](x,y)\to (x,-y)[/tex]

Using this, we get

[tex]A(-1,-3)\to A'(-1,3)[/tex]

[tex]B(-4,-1)\to B'(-4,1)[/tex]

[tex]C(-6,-4)\to C'(-6,4)[/tex]

If a figure is shifting 10 units right, then

[tex](x,y)\to (x+10,y)[/tex]

Using this we get

[tex]A'(-1,3)\to A''(-1+10,3)[/tex]

[tex]A'(-1,3)\to A''(9,3)[/tex]

Similarly,

[tex]B'(-4,1)\to B''(-4+10,1)[/tex]

[tex]B'-4,1)\to B''(6,1)[/tex]

And,

[tex]C'(-6,-4)\to C''(-6+10,4)[/tex]

[tex]C'(-6,-4)\to C''(4,4)[/tex]

Therefore, the vertices of the image are A''(9,3), B''(6,1) and C''(4,4).

Answer:

C

Step-by-step explanation:

Answer:

682

Step-by-step explanation:

191,919 + 262,626

454545 ÷ 666 = 682.5

Thus meaning 682 bags will have 666 berries and one bag will have 333 berries.

Answer:

B.

Step-by-step explanation:

The answer is B.

√50x³y

= √5²×2×x²×x×y

= 5x√2xy

d is the correct answer

Answer:

here

Step-by-step explanation:

Answer:

5 miles per hour

Step-by-step explanation:

3¾ ÷ ¾ =

15/4 ÷ ¾ =

15/4 x 4/3 =

15/3 = 5

Answer: (x, y) = (5,8)

Step-by-step explanation:

x + y = 13       2x - y = 2

y = -x + 13

2x - (-x + 13) = 2   3x =15

x=5

x=5       y = -x + 13

y = -(5) + 13 = 8

Answer:

0

Step-by-step explanation:

the key mapping for a reflection in the line y=-1 is 0

Answer:  [tex]\$162[/tex]

Step-by-step explanation:

Given

There are 210 units of hotel

Each room charge $90 when fully occupied

occupied room charges is $24 per day

Suppose x rooms are vacant, so, there 210-x occupied

Daily expense on maintenance[tex]=(210-x)\times 24[/tex]

Earning from 210-x rooms[tex]=(210-x)(90+x)[/tex]

Profit(P)=Earning - Expense

[tex]\Rightarrow P=(210-x)(90+x)-(210-x)24\\\Rightarrow P=21,600+210x-90x-x^2-5040+24x\\\Rightarrow P=-x^2+144x+16,560\\[/tex]

To get the maximum profit, determine the derivative of P w.r.t. x and equate it to zero

[tex]\Rightarrow \dfrac{dP}{dx}=-2x+144\\\\\Rightarrow -2x+144=0\\\\\Rightarrow x=72[/tex]

Charges for maximum profit is [tex]90+72=\$162[/tex]

Number of occupied rooms are [tex]210-72=138[/tex]

The hotel charge per day will be $162  in order to maximize daily profit.

Given that,  Hotel has 210 units

Let us consider that x rooms are vacant.

Total occupied rooms = [tex](210-x)[/tex]

Since, Each occupied room costs $24 per day to service and maintain

So, Total expense = [tex]24*(210-x)=5040-24x[/tex]

Since, For  all rooms are occupied when the hotel charges $90 per day for a room. For every increase of x dollars in the daily room rate, there are x rooms vacant.

So, Total earing = [tex](210-x)*(90+x)=-x^{2} +120x+21600[/tex]

Profit = Total earning - Total expense

[tex]P=-x^{2} +120x+21600-5040+24x\\\\P=-x^{2} +144x+16560[/tex]

In order to maximize profit, Differentiate profit expression with respect to x.

    [tex]\frac{dP}{dx}=\frac{d}{dx}(-x^{2} +144x+16560) \\\\\frac{dP}{dx}=-2x+144=0\\\\\\x=\frac{144}{2}=72[/tex]

Thus, Hotel charges per day for maximum profit = [tex]90+x=90+72=162[/tex]

Learn more:

https://brainly.com/question/19578119

Answer:

A

Step-by-step explanation:

Try graphing the function on desmos

Step-by-step explanation:

hi

what is your question?

Step-by-step explanation:

please tell full questions

Answer:

(-6,0) and (0,-6) are the points on the graph