Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, c chairs, and s stools, which expressions show the total number of furniture legs in aisle 2?

Answer:

4√5

Step-by-step explanation:

√80 = √4·4·5 = √4²·5 = 4√5

Answer:

21x + 12

Step-by-step explanation:

In math, it is

21x + 2(6).

so we have

21x + 2(6) = 21x + 12.

Answer:

16.81

Step-by-step explanation:

That's basically just 4.1×4.1

Answer:

(12, 10 )

Step-by-step explanation:

Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]

let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.

(x₁, y₁ ) = (- 2,  6) and (x₂, y₂ ) = (x, y), then

[tex]\frac{1}{2}[/tex](- 2 + x) = 5 ( multiply both sides by 2 )

- 2 + x = 10 ( add 2 to both sides )

x = 12

[tex]\frac{1}{2}[/tex](6 + y) = 8 ( multiply both sides by 2 )

6 + y = 16 ( subtract 6 from both sides )

y = 10

Thus

The other endpoint is (12, 10 )

Answer:

(12, 10 )

Step-by-step explanation:

Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

[ (x₁ + x₂ ), (y₁ + y₂ ) ]

let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.

(x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (x, y), then

(- 2 + x) = 5 ( multiply both sides by 2 )

- 2 + x = 10 ( add 2 to both sides )

x = 12

(6 + y) = 8 ( multiply both sides by 2 )

6 + y = 16 ( subtract 6 from both sides )

y = 10

Thus

The other endpoint is (12 ,10)

Answer:

EM = 42

Step-by-step explanation:

If M is the midpoint, then we can say that EM = MG.

So now, I can set up an equation:

7x = 8x - 6

And solve for x.

7x = 8x - 6

 -8x     -8x

-x = -6

x = 6

Since we are trying to find EM, and EM is 7x, we can multiply x by 7 to find our answer:

7x

7(6)

42

EM = 42

Answer:

-1-9i (the second option)

Step-by-step explanation:

(2 – 5i) – (3 + 4i)

=2-5i-3-4i

= -1-9i

-1 – 9i this expression is equal to (2 – 5i) – (3 + 4i).

so, 2nd option is correct.

Here, we have,

To simplify the expression (2 – 5i) – (3 + 4i),

we need to perform the subtraction operation for both the real and imaginary parts separately.

The real part subtraction is done as follows: 2 - 3 = -1.

The imaginary part subtraction is done as follows: -5i - 4i = -9i.

Combining the real and imaginary parts, we get -1 - 9i.

Therefore, the expression (2 – 5i) – (3 + 4i) is equal to -1 - 9i.

Among the given options, the expression that matches this result is O-1 - 9i.

Hence, -1 – 9i this expression is equal to (2 – 5i) – (3 + 4i).

so, 2nd option is correct.

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Answer:

x = 3

Step-by-step explanation:

7/x - 3/(2x) + 7/6 = 9/x

x(7/x  - 3/(2x)  + 7/6) = x(9x)

x*7/x  - 3*x/(2x) + x*7/6 = x*9x

7 - 3/2 + 7x/6 = 9

7x/6 = 9 - 7 + 3/2

7x/6 = 2 + 3/2

7x/6 = 12/6 + 9/6

7x = 12+9

7x = 21

x = 21/7

x = 3

probe:

7/3 - 3/(2*3) + 7/6 = 9/3

14/6 - 3/6 + 7/6 = 3

(14 - 3 + 7) / 6 = 3

18/6 = 3

Answer:

david drove faster than dan bcz

Answer:

David drove faster

Step-by-step explanation:

Dan - 60m/5h = 12 miles an hour

David - 75m/6h = 12.5 miles an hour

Therefore David drove faster.

[tex] \LARGE{ \boxed{ \mathbb{ \color{purple}{SOLUTION:}}}}[/tex]

We have, Discriminant formula for finding roots:

[tex] \large{ \boxed{ \rm{x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac} }{2a} }}}[/tex]

Here,

1) Given,

3x^2 - 2x - 1

Finding the discriminant,

➝ D = b^2 - 4ac

➝ D = (-2)^2 - 4 × 3 × (-1)

➝ D = 4 - (-12)

➝ D = 4 + 12

➝ D = 16

2) Solving by using Bhaskar formula,

❒ p(x) = x^2 + 5x + 6 = 0

[tex] \large{ \rm{ \longrightarrow \: x = \dfrac{ - 5\pm \sqrt{( - 5) {}^{2} - 4 \times 1 \times 6 }} {2 \times 1}}}[/tex]

[tex]\large{ \rm{ \longrightarrow \: x = \dfrac{ - 5 \pm \sqrt{25 - 24} }{2 \times 1} }}[/tex]

[tex] \large{ \rm{ \longrightarrow \: x = \dfrac{ - 5 \pm 1}{2} }}[/tex]

So here,

[tex]\large{\boxed{ \rm{ \longrightarrow \: x = - 2 \: or - 3}}}[/tex]

❒ p(x) = x^2 + 2x + 1 = 0

[tex]\large{ \rm{ \longrightarrow \: x = \dfrac{ - 2 \pm \sqrt{ {2}^{2} - 4 \times 1 \times 1} }{2 \times 1} }}[/tex]

[tex]\large{ \rm{ \longrightarrow \: x = \dfrac{ - 2 \pm \sqrt{4 - 4} }{2} }}[/tex]

[tex]\large{ \rm{ \longrightarrow \: x = \dfrac{ - 2 \pm 0}{2} }}[/tex]

So here,

[tex]\large{\boxed{ \rm{ \longrightarrow \: x = - 1 \: or \: - 1}}}[/tex]

❒ p(x) = x^2 - x - 20 = 0

[tex]\large{ \rm{ \longrightarrow \: x = \dfrac{ - ( - 1) \pm \sqrt{( - 1) {}^{2} - 4 \times 1 \times ( - 20) } }{2 \times 1} }}[/tex]

[tex]\large{ \rm{ \longrightarrow \: x = \dfrac{ 1 \pm \sqrt{1 + 80} }{2} }}[/tex]

[tex]\large{ \rm{ \longrightarrow \: x = \dfrac{1 \pm 9}{2} }}[/tex]

So here,

[tex]\large{\boxed{ \rm{ \longrightarrow \: x = 5 \: or \: - 4}}}[/tex]

❒ p(x) = x^2 - 3x - 4 = 0

[tex]\large{ \rm{ \longrightarrow \: x = \dfrac{ - ( - 3) \pm \sqrt{( - 3) {}^{2} - 4 \times 1 \times ( - 4) } }{2 \times 1} }}[/tex]

[tex]\large{ \rm{ \longrightarrow \: x = \dfrac{3 \pm \sqrt{9 + 16} }{2 \times 1} }}[/tex]

[tex]\large{ \rm{ \longrightarrow \: x = \dfrac{3 \pm 5}{2} }}[/tex]

So here,

[tex]\large{\boxed{ \rm{ \longrightarrow \: x = 4 \: or \: - 1}}}[/tex]

━━━━━━━━━━━━━━━━━━━━

Step-by-step explanation:

a)

given: a = 1, b = 5, c = 6

1) Discriminant → ∆= b² − (4*a*c)

∆= b² - (4*a*c)

∆= 5² - (4*1*6)

∆=25 - ( 24 )

∆= 25 - 24

∆= 1

2)

Solve x = (- b ± √Δ ) / 2a

x = ( 5 ± √25 ) / 2*1

x = ( 2 ± 5 ) / 2

x = ( 2 + 5 ) / 2 or x = ( 2 - 5 ) / 2

x = ( 7 ) / 2 or x = ( - 3 ) / 2

x = 3.5 or x = -1.5

b)

given: a = 1, b = 2, c = 1

1) Discriminant → ∆= b² − (4*a*c)

∆= b² - (4*a*c)

∆= 2² - (4*1*1)

∆= 4 - (4)

∆= 4 - 4

∆= 0

2)

Solve x = (- b ± √Δ ) / 2a

x = ( -2 ± √0) / 2*1

x = ( 2 ± 0 ) / 2

x = ( 2 + 0) / 2 or x = ( 2 - 0 ) / 2

x = ( 2 ) / 2 or x = ( 2 ) / 2

x = 1 or x = 1

x = 1 (only one solution)

c)

given: a = 1, b = -1, c = -20

1) Discriminant → ∆= b² − (4*a*c)

∆= b² - (4*a*c)

∆= -1² - (4*1*-20)

∆= 1 - ( -80 )

∆= 1 + 80

∆= 81

2)

Solve x = (- b ± √Δ ) / 2a

x = ( 2 ± √81 ) / 2*1

x = ( 2 ± 9 ) / 2

x = ( 2 + 9 ) / 2 or x = ( 2 - 9 ) / 2

x = ( 11 ) / 2 or x = ( - 7 ) / 2

x = 5.5 or x = -3.5

d)

given: a = 1, b = -3, c = -4

1) Discriminant → ∆= b² − (4*a*c)

∆= b² - (4*a*c)

∆= -3² - (4*1*-4)

∆= 9 - ( -16)

∆= 9 + 16

∆= 25

2)

Solve x = (- b ± √Δ ) / 2a

x = ( 3 ± √25 ) / 2*1

x = ( 3 ± 5 ) / 2

x = ( 3 + 5 ) / 2 or x = ( 3 - 5 ) / 2

x = ( 8 ) / 2 or x = ( - 2 ) / 2

x = 4 or x = -1

Formula :-

Volume of cylinder is π r²h .

Given :-

→ Volume = 308 cm³

→ Radius = 7 cm

Solution :-

→ πr²h = 308

→ π (7)²(h) = 308

→ 22×7×7×h/7 = 308

→ 22×7×h = 308

→ 154×h = 308

→ Height = 308/154

→ Height = 2 cm

So the height of the cylinder is 2 cm .

When you multiply two fractions together, multiply the two top numbers and then multiply the two bottom numbers.

5/12 x 1/3 = (5x1) / (12x3) = 5/36

Answer:

Step-by-step explanation:

[tex]\frac{5}{12}*\frac{1}{3}\\\\\\=\frac{5*1}{12*3}=\frac{5}{36}[/tex]

Answer:

The correct option is;

Non of the above

Step-by-step explanation:

Option A is correct when a + b·i is a complex number, the real part = a and the imaginary part = b

Option B.) For the complex number,  a + b·i, a and b are real number

Option C) When a number, a + b·i is a complex number, then b ≠ 0

Option D) Whereby real numbers are numbers of the form  a + b·i, where b = 0, therefore, a real number is a complex number with the imaginary part = 0 and every real number is a complex number.

Answer:

757

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum of 3/8 and -5/12:

Least common denominator of 8 & 12 = 24

[tex]\frac{3}{8}+\frac{-5}{12}=\frac{3*3}{8*3}+\frac{-5*2}{12*2}\\\\\\=\frac{9}{24}+\frac{-10}{24}\\\\\\=\frac{-1}{24}[/tex]

Finding -15/8 * 16/27:

[tex]\frac{-15}{8}*\frac{16}{27}=\frac{-5*2}{1*9}=\frac{-10}{9}[/tex]  

Reciprocal of -10/9 = -9/10

-1/24 ÷ -9/10 = [tex]\frac{-1}{24}*\frac{-10}{9}=\frac{1*5}{12*3}[/tex]

= [tex]\frac{5}{24}[/tex]

Answer:

As pressure increases, volume decreases.

Hope this answer correct :)

Answer:

As pressure increases, volume decreases

Step-by-step explanation:

like the other person said i agree with him or her because i just do :)

Step-by-step explanation:

15 : 40

Both have table of 5 in common

5 : 8

You divide it with valid numbers that can be dividable with both numerator and denominator.

15/40 can be divided by 5 to make it into the simplest form

= 3/8 , now we can no longer divide it, so its the simplest form

Answer:

10r²

Step-by-step explanation:

The following data were obtained from the question:

Radius (r) = 5r

Length of arc (L) = 4r

Area of sector (A) =?

Next, we shall determine the angle θ sustained at the centre.

Recall:

Length of arc (L) = θ/360 × 2πr

With the above formula, we shall determine the angle θ sustained at the centre as follow:

Radius (r) = 5r

Length of arc (L) = 4r

Angle at the centre θ =?

L= θ/360 × 2πr

4r = θ/360 × 2π × 5r

4r = (θ × 10πr)/360

Cross multiply

θ × 10πr = 4r × 360

Divide both side by 10πr

θ = (4r × 360) /10πr

θ = 144/π

Finally, we shall determine the area of the sector as follow:

Angle at the centre θ = 144/π

Radius (r) = 5r

Area of sector (A) =?

Area of sector (A) = θ/360 × πr²

A = (144/π)/360 × π(5r)²

A = 144/360π × π × 25r²

A = 144/360 × 25r²

A = 0.4 × 25r²

A = 10r²

Therefore, the area of the sector is 10r².

the area of the sector in terms of r is [tex]10r^2[/tex]

Given :

From the given diagram , the radius of the circle is 5r  and length of arc AB is 4r

Lets find out the central angle using length of arc formula

length of arc =[tex]\frac{central-angle}{360} \cdot 2\pi r[/tex]

r=5r  and length = 4r

[tex]4r=\frac{central-angle}{360} \cdot 2\pi (5r)\\4r \cdot 360=central-angle \cdot 2\pi (5r)\\\\\\\frac{4r \cdot 360}{10\pi r} =angle\\angle =\frac{4\cdot 36}{\pi } \\angle =\frac{144}{\pi }[/tex]

Now we replace this angle in area of sector formula

Area of sector =[tex]\frac{angle}{360} \cdot \pi r^2\\[/tex]

[tex]Area =\frac{angle}{360} \cdot \pi r^2\\\\Area =\frac{\frac{144}{\pi } }{360} \cdot \pi\cdot 25r^2\\\\Area =\frac{ 144 }{360\pi } \cdot \pi\cdot 25r^2\\\\Area =\frac{ 2 }{5 } \cdot 25r^2\\\\\\Area=10r^2[/tex]

So, the area of the sector in terms of r is [tex]10r^2[/tex]

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●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Amswer :    [tex]\boxed { ( x - 2x^2 ) }[/tex]

Well you have to subtract [tex]( x - 2x^2 )[/tex] from [tex]1[/tex] to get [tex]1- x + 2*2^2[/tex]

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Have a great day/night!

❀*May*❀

Answer: y=2x+1

Step-by-step explanation:

plug in the points in to the equation to see what you get

Answer:

Volume required in the tank (200 × 150 × 2)m3. therefore, required time= (6000/625)= 96 min.

[tex]4^5\cdot4^7=4^{5+7}=16,777,216[/tex].

Hope this helps.

The absolute value of any number is never negative. Absolute value represents distance, and negative distance is not possible (it doesn't make any sense to have a negative distance). Specifically, it is the distance from the given number to 0 on the number line.

The result of an absolute value is either 0 or positive.

Examples:

| -22 | = 22

| -1.7 | = 1.7

| 35 | = 35

The vertical bars surrounding the numbers are absolute value bars

Answer:

The constant of proportionality is 1/9

Answer:

The answer is actually 3

Step-by-step explanation:

The two triangles are drawn to scale, so we can use the scale factor of \maroonD{1\dfrac{1}{2}}1

2

1

​

start color #ca337c, 1, start fraction, 1, divided by, 2, end fraction, end color #ca337c to find \greenD{x}xstart color #1fab54, x, end color #1fab54.

Hint #22 / 3

\begin{aligned} [\blueD{\text{length on A}}] \cdot [\maroonD{\text{scale factor}}] &= [\greenD{\text{length on B}}]\\\\ \blueD{2}\cdot \maroonD{1\dfrac{1}{2}}&=\greenD{x} \\\\ \greenD{3}&=\greenD{x} \end{aligned}

[length on A]⋅[scale factor]

2⋅1

2

1

​

3

​

=[length on B]

=x

=x

​

which equals 3

Answer:

c. variables, constants, and functions

Step-by-step explanation:

A predicate is the property that some object posses. Predicate calculus is a kind of logic that combines the categorical logic with propositional logic. The formal syntax of a predicate calculus contains 3 Terms which consist  of:

1.  Constants and Variables

2. Connectives

3. Quantifiers

But in arguments to predicates and functions, the terms  can only be combination of variables, constants, and functions.

Answer: The LCM of 3 and 8 is 24.

Step-by-step explanation:

So far, the given two numbers are 3 and 8. We have to find the LCM ( Least Common Multiple ) of 3 and 8, not the GCF ( Greatest Common Factor). That means, we have to find the smallest multiple of 3 and 8.

Let's try it out.

3 times 1 = 3. Is that a multiple of eight? No.

3 times 2 = 6. Is that a multiple of eight? No.

3 times 3 = 9. Is that a multiple of eight? No.

3 times 4 = 12. Is that a multiple of eight? No.

3 times 5 = 15. Is that a multiple of eight? No.

3 times 6 = 18. Is that a multiple of eight? No.

3 times 7 = 21. Is that a multiple of eight? No.

3 times 8 = 24. Is that a multiple of eight? YES!

Now try it out for 8.

8 times 1 = 8. Is that a multiple of three? No.

8 times 2 = 16. Is that a multiple of three? No.

8 times 3 = 24. Is that a multiple of three? YES!

So now that 24 occurs in the list for both of them, it is the LCM because there are no other numbers that come before it that are multiples of both 3 and 8.

The LCM of 3 and 8 is 24.

The LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both numbers.

To find the LCM of 3 and 8, we can use the following steps:

1. List out the multiples of 3 until we reach a number that is divisible by 8.

2. List out the multiples of 8 until we reach a number that is divisible by 3.

3. The smallest number that appears in both lists is the LCM of 3 and 8.

The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27...

The multiples of 8 are 8, 16, 24, 32 ...

The smallest number that appears in both lists is 24. Therefore, the LCM of 3 and 8 is 24.

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Answer:

They are perpendicular lines

Step-by-step explanation:

If one line has slope -8 and the other one has slope 1/8, they must be perpendicular to each other because the condition for perpendicular lines is that the slope of one must be the "opposite of the reciprocal of the slope of the original line."

the opposite of -8 is 8 , and the reciprocal of this is 1/8

Answer:

Below

Step-by-step explanation:

Let m and m' be the slopes of two different lines.

These lines are peependicular if and only if:

● m×m' = -1

Notice that:

● -8 ×(1/8) = -1

So the lines with the respectives slopes -8 and 1/8 are perpendicular.

Answer:

16) Anya, Danny, Bridget, Carl.

17) 217.66 bricks

Challenge) 275.65 minutes

Step-by-step explanation:

16) I think you have Anya and Danny reversed.  It should be:

Anya, Danny, Bridget, Carl.

17) Bridget can do 60 an hour, Danny 50 an hour, Carl 66 an hour, and Anya 41.66 an hour.  60+50+66+41.66=217.66

Challenge: Anya can do .694444 per minute, Bridget 1 per minute, Carl 1.1 per minute, and Danny .83333 per minute.  That makes 3.62777 per minute.  1000 divided by 3.6277777 is 275.65 minutes

Answer:

cos A = 3/5

Step-by-step explanation:

sin A = 4/5

sin^2 A + cos^2 A = 1

(4/5)^2 + cos^2 A = 1

16/25 + cos^2 A = 1

cos^2 A = 9/25

cos A = 3/5

Answer:

46.7 degrees.

Step-by-step explanation:

According to the given information, triangle DEF is a right triangle with angle F as the right angle. We are trying to find the measure of angle D.

We are given the opposite side length (6.4 feet) and the hypotenuse (8.8 feet), so we can use sine to calculate the angle measure (SOH = Sine; Opposite over Hypotenuse).

sin(D) = 6.4 / 8.8

sin(D) = 64 / 88

sin(D) = 8 / 11

D = arcsin(8 / 11)

D = arcsin(0.72727272727272727272727273)

D = 46.65824177.

So, the measure of angle D is about 46.7 degrees.

Hope this helps!